id	sid	tid	token	lemma	pos
ejpam-6556	1	1	european	european	PROPN
ejpam-6556	1	2	journal	journal	PROPN
ejpam-6556	1	3	of	of	ADP
ejpam-6556	1	4	pure	pure	ADJ
ejpam-6556	1	5	and	and	CCONJ
ejpam-6556	1	6	applied	applied	ADJ
ejpam-6556	1	7	mathematics	mathematic	NOUN
ejpam-6556	1	8	2025	2025	NUM
ejpam-6556	1	9	,	,	PUNCT
ejpam-6556	1	10	vol	vol	NOUN
ejpam-6556	1	11	.	.	PROPN
ejpam-6556	1	12	18	18	NUM
ejpam-6556	1	13	,	,	PUNCT
ejpam-6556	1	14	issue	issue	NOUN
ejpam-6556	1	15	3	3	NUM
ejpam-6556	1	16	,	,	PUNCT
ejpam-6556	1	17	article	article	NOUN
ejpam-6556	1	18	number	number	NOUN
ejpam-6556	1	19	6556	6556	NUM
ejpam-6556	1	20	issn	issn	PROPN
ejpam-6556	1	21	1307	1307	NUM
ejpam-6556	1	22	-	-	SYM
ejpam-6556	1	23	5543	5543	NUM
ejpam-6556	1	24	–	–	PUNCT
ejpam-6556	1	25	ejpam.com	ejpam.com	X
ejpam-6556	1	26	published	publish	VERB
ejpam-6556	1	27	by	by	ADP
ejpam-6556	1	28	new	new	PROPN
ejpam-6556	1	29	york	york	PROPN
ejpam-6556	1	30	business	business	PROPN
ejpam-6556	1	31	global	global	ADJ
ejpam-6556	1	32	novel	novel	ADJ
ejpam-6556	1	33	fractional	fractional	ADJ
ejpam-6556	1	34	hermite	hermite	ADJ
ejpam-6556	1	35	–	–	PUNCT
ejpam-6556	1	36	hadamard	hadamard	NOUN
ejpam-6556	1	37	and	and	CCONJ
ejpam-6556	1	38	product	product	NOUN
ejpam-6556	1	39	-	-	PUNCT
ejpam-6556	1	40	type	type	NOUN
ejpam-6556	1	41	inequalities	inequality	NOUN
ejpam-6556	1	42	via	via	ADP
ejpam-6556	1	43	raina	raina	PROPN
ejpam-6556	1	44	function	function	PROPN
ejpam-6556	1	45	and	and	CCONJ
ejpam-6556	1	46	preinvex	preinvex	NOUN
ejpam-6556	1	47	mappings	mapping	NOUN
ejpam-6556	1	48	with	with	ADP
ejpam-6556	1	49	entropy	entropy	PROPN
ejpam-6556	1	50	applications	application	NOUN
ejpam-6556	1	51	muhammad	muhammad	PROPN
ejpam-6556	1	52	tariq1,7	tariq1,7	PROPN
ejpam-6556	1	53	,	,	PUNCT
ejpam-6556	1	54	waqar	waqar	PROPN
ejpam-6556	1	55	afzal2	afzal2	PROPN
ejpam-6556	1	56	,	,	PUNCT
ejpam-6556	1	57	muhammad	muhammad	PROPN
ejpam-6556	1	58	nadeem3	nadeem3	PROPN
ejpam-6556	1	59	,	,	PUNCT
ejpam-6556	1	60	angel	angel	NOUN
ejpam-6556	1	61	e.	e.	PROPN
ejpam-6556	1	62	muñoz	muñoz	PROPN
ejpam-6556	1	63	-	-	PUNCT
ejpam-6556	1	64	zavala4	zavala4	PROPN
ejpam-6556	1	65	,	,	PUNCT
ejpam-6556	1	66	jorge	jorge	PROPN
ejpam-6556	1	67	e.	e.	PROPN
ejpam-6556	1	68	maćıas	maćıas	PROPN
ejpam-6556	1	69	-	-	PUNCT
ejpam-6556	1	70	dı́az5,6,∗	dı́az5,6,∗	PROPN
ejpam-6556	1	71	1	1	NUM
ejpam-6556	1	72	mathematics	mathematics	PROPN
ejpam-6556	1	73	research	research	NOUN
ejpam-6556	1	74	center	center	NOUN
ejpam-6556	1	75	,	,	PUNCT
ejpam-6556	1	76	near	near	ADP
ejpam-6556	1	77	east	east	PROPN
ejpam-6556	1	78	university	university	PROPN
ejpam-6556	1	79	,	,	PUNCT
ejpam-6556	1	80	near	near	ADP
ejpam-6556	1	81	east	east	PROPN
ejpam-6556	1	82	boulevard	boulevard	PROPN
ejpam-6556	1	83	,	,	PUNCT
ejpam-6556	1	84	pc	pc	NOUN
ejpam-6556	1	85	:	:	PUNCT
ejpam-6556	1	86	99138	99138	NUM
ejpam-6556	1	87	,	,	PUNCT
ejpam-6556	1	88	nicosia	nicosia	PROPN
ejpam-6556	1	89	/mersin	/mersin	PROPN
ejpam-6556	1	90	10	10	NUM
ejpam-6556	1	91	,	,	PUNCT
ejpam-6556	1	92	turkey	turkey	PROPN
ejpam-6556	1	93	2	2	NUM
ejpam-6556	1	94	abdus	abdus	NOUN
ejpam-6556	1	95	salam	salam	PROPN
ejpam-6556	1	96	school	school	PROPN
ejpam-6556	1	97	of	of	ADP
ejpam-6556	1	98	mathematical	mathematical	ADJ
ejpam-6556	1	99	sciences	science	NOUN
ejpam-6556	1	100	,	,	PUNCT
ejpam-6556	1	101	government	government	NOUN
ejpam-6556	1	102	college	college	NOUN
ejpam-6556	1	103	university	university	NOUN
ejpam-6556	1	104	,	,	PUNCT
ejpam-6556	1	105	68	68	NUM
ejpam-6556	1	106	-	-	SYM
ejpam-6556	1	107	b	b	NOUN
ejpam-6556	1	108	,	,	PUNCT
ejpam-6556	1	109	new	new	ADJ
ejpam-6556	1	110	muslim	muslim	ADJ
ejpam-6556	1	111	town	town	NOUN
ejpam-6556	1	112	,	,	PUNCT
ejpam-6556	1	113	lahore	lahore	PROPN
ejpam-6556	1	114	54600	54600	NUM
ejpam-6556	1	115	,	,	PUNCT
ejpam-6556	1	116	pakistan	pakistan	PROPN
ejpam-6556	1	117	3	3	NUM
ejpam-6556	1	118	department	department	NOUN
ejpam-6556	1	119	of	of	ADP
ejpam-6556	1	120	mathematics	mathematic	NOUN
ejpam-6556	1	121	,	,	PUNCT
ejpam-6556	1	122	virtual	virtual	ADJ
ejpam-6556	1	123	university	university	NOUN
ejpam-6556	1	124	of	of	ADP
ejpam-6556	1	125	pakistan	pakistan	PROPN
ejpam-6556	1	126	,	,	PUNCT
ejpam-6556	1	127	multan	multan	PROPN
ejpam-6556	1	128	campus	campus	PROPN
ejpam-6556	1	129	4	4	NUM
ejpam-6556	1	130	faculty	faculty	NOUN
ejpam-6556	1	131	of	of	ADP
ejpam-6556	1	132	basic	basic	ADJ
ejpam-6556	1	133	sciences	science	NOUN
ejpam-6556	1	134	,	,	PUNCT
ejpam-6556	1	135	autonomous	autonomous	ADJ
ejpam-6556	1	136	university	university	NOUN
ejpam-6556	1	137	of	of	ADP
ejpam-6556	1	138	aguascalientes	aguascaliente	NOUN
ejpam-6556	1	139	,	,	PUNCT
ejpam-6556	1	140	mexico	mexico	PROPN
ejpam-6556	1	141	5	5	NUM
ejpam-6556	1	142	department	department	NOUN
ejpam-6556	1	143	of	of	ADP
ejpam-6556	1	144	mathematics	mathematic	NOUN
ejpam-6556	1	145	and	and	CCONJ
ejpam-6556	1	146	didactics	didactics	NOUN
ejpam-6556	1	147	of	of	ADP
ejpam-6556	1	148	mathematics	mathematic	NOUN
ejpam-6556	1	149	,	,	PUNCT
ejpam-6556	1	150	tallinn	tallinn	PROPN
ejpam-6556	1	151	university	university	PROPN
ejpam-6556	1	152	,	,	PUNCT
ejpam-6556	1	153	tallinn	tallinn	PROPN
ejpam-6556	1	154	10120	10120	NUM
ejpam-6556	1	155	,	,	PUNCT
ejpam-6556	1	156	estonia	estonia	PROPN
ejpam-6556	1	157	6	6	NUM
ejpam-6556	1	158	department	department	NOUN
ejpam-6556	1	159	of	of	ADP
ejpam-6556	1	160	mathematics	mathematics	PROPN
ejpam-6556	1	161	and	and	CCONJ
ejpam-6556	1	162	physics	physics	PROPN
ejpam-6556	1	163	,	,	PUNCT
ejpam-6556	1	164	autonomous	autonomous	ADJ
ejpam-6556	1	165	university	university	NOUN
ejpam-6556	1	166	of	of	ADP
ejpam-6556	1	167	aguascalientes	aguascaliente	NOUN
ejpam-6556	1	168	,	,	PUNCT
ejpam-6556	1	169	aguascalientes	aguascaliente	NOUN
ejpam-6556	1	170	20100	20100	NUM
ejpam-6556	1	171	,	,	PUNCT
ejpam-6556	1	172	mexico	mexico	PROPN
ejpam-6556	1	173	7	7	NUM
ejpam-6556	1	174	department	department	NOUN
ejpam-6556	1	175	of	of	ADP
ejpam-6556	1	176	mathematics	mathematic	NOUN
ejpam-6556	1	177	,	,	PUNCT
ejpam-6556	1	178	balochistan	balochistan	ADJ
ejpam-6556	1	179	residential	residential	ADJ
ejpam-6556	1	180	college	college	NOUN
ejpam-6556	1	181	,	,	PUNCT
ejpam-6556	1	182	loralai	loralai	ADJ
ejpam-6556	1	183	,	,	PUNCT
ejpam-6556	1	184	balochistan	balochistan	ADJ
ejpam-6556	1	185	,	,	PUNCT
ejpam-6556	1	186	pakistan	pakistan	PROPN
ejpam-6556	1	187	abstract	abstract	NOUN
ejpam-6556	1	188	.	.	PUNCT
ejpam-6556	2	1	in	in	ADP
ejpam-6556	2	2	this	this	DET
ejpam-6556	2	3	paper	paper	NOUN
ejpam-6556	2	4	,	,	PUNCT
ejpam-6556	2	5	we	we	PRON
ejpam-6556	2	6	employ	employ	VERB
ejpam-6556	2	7	the	the	DET
ejpam-6556	2	8	atangana	atangana	PROPN
ejpam-6556	2	9	-	-	PUNCT
ejpam-6556	2	10	baleanu	baleanu	ADJ
ejpam-6556	2	11	fractional	fractional	ADJ
ejpam-6556	2	12	integral	integral	ADJ
ejpam-6556	2	13	operator	operator	NOUN
ejpam-6556	2	14	to	to	PART
ejpam-6556	2	15	develop	develop	VERB
ejpam-6556	2	16	new	new	ADJ
ejpam-6556	2	17	versions	version	NOUN
ejpam-6556	2	18	of	of	ADP
ejpam-6556	2	19	hermite	hermite	ADJ
ejpam-6556	2	20	–	–	PUNCT
ejpam-6556	2	21	hadamard	hadamard	ADJ
ejpam-6556	2	22	and	and	CCONJ
ejpam-6556	2	23	pachpatte	pachpatte	NOUN
ejpam-6556	2	24	-	-	PUNCT
ejpam-6556	2	25	type	type	NOUN
ejpam-6556	2	26	integral	integral	ADJ
ejpam-6556	2	27	inequalities	inequality	NOUN
ejpam-6556	2	28	within	within	ADP
ejpam-6556	2	29	the	the	DET
ejpam-6556	2	30	framework	framework	NOUN
ejpam-6556	2	31	of	of	ADP
ejpam-6556	2	32	generalized	generalized	ADJ
ejpam-6556	2	33	convexity	convexity	NOUN
ejpam-6556	2	34	involving	involve	VERB
ejpam-6556	2	35	raina	raina	PROPN
ejpam-6556	2	36	’s	’s	PART
ejpam-6556	2	37	function	function	NOUN
ejpam-6556	2	38	.	.	PUNCT
ejpam-6556	3	1	by	by	ADP
ejpam-6556	3	2	this	this	DET
ejpam-6556	3	3	approach	approach	NOUN
ejpam-6556	3	4	,	,	PUNCT
ejpam-6556	3	5	we	we	PRON
ejpam-6556	3	6	derive	derive	VERB
ejpam-6556	3	7	a	a	DET
ejpam-6556	3	8	novel	novel	ADJ
ejpam-6556	3	9	fractional	fractional	ADJ
ejpam-6556	3	10	integral	integral	ADJ
ejpam-6556	3	11	identity	identity	NOUN
ejpam-6556	3	12	associated	associate	VERB
ejpam-6556	3	13	with	with	ADP
ejpam-6556	3	14	raina	raina	PROPN
ejpam-6556	3	15	’s	’s	PART
ejpam-6556	3	16	functions	function	NOUN
ejpam-6556	3	17	.	.	PUNCT
ejpam-6556	4	1	furthermore	furthermore	ADV
ejpam-6556	4	2	,	,	PUNCT
ejpam-6556	4	3	leveraging	leverage	VERB
ejpam-6556	4	4	young	young	ADJ
ejpam-6556	4	5	’s	’s	PART
ejpam-6556	4	6	inequality	inequality	NOUN
ejpam-6556	4	7	,	,	PUNCT
ejpam-6556	4	8	the	the	DET
ejpam-6556	4	9	power	power	NOUN
ejpam-6556	4	10	mean	mean	VERB
ejpam-6556	4	11	inequality	inequality	NOUN
ejpam-6556	4	12	,	,	PUNCT
ejpam-6556	4	13	and	and	CCONJ
ejpam-6556	4	14	hölder	hölder	PROPN
ejpam-6556	4	15	’s	’s	PART
ejpam-6556	4	16	inequality	inequality	NOUN
ejpam-6556	4	17	,	,	PUNCT
ejpam-6556	4	18	we	we	PRON
ejpam-6556	4	19	establish	establish	VERB
ejpam-6556	4	20	several	several	ADJ
ejpam-6556	4	21	new	new	ADJ
ejpam-6556	4	22	extensions	extension	NOUN
ejpam-6556	4	23	of	of	ADP
ejpam-6556	4	24	hermite	hermite	ADJ
ejpam-6556	4	25	–	–	PUNCT
ejpam-6556	4	26	hadamard	hadamard	ADJ
ejpam-6556	4	27	-	-	PUNCT
ejpam-6556	4	28	type	type	NOUN
ejpam-6556	4	29	inequalities	inequality	NOUN
ejpam-6556	4	30	via	via	ADP
ejpam-6556	4	31	the	the	DET
ejpam-6556	4	32	atangana	atangana	PROPN
ejpam-6556	4	33	–	–	PUNCT
ejpam-6556	4	34	baleanu	baleanu	ADJ
ejpam-6556	4	35	fractional	fractional	ADJ
ejpam-6556	4	36	operator	operator	NOUN
ejpam-6556	4	37	.	.	PUNCT
ejpam-6556	5	1	our	our	PRON
ejpam-6556	5	2	results	result	NOUN
ejpam-6556	5	3	significantly	significantly	ADV
ejpam-6556	5	4	improve	improve	VERB
ejpam-6556	5	5	upon	upon	SCONJ
ejpam-6556	5	6	existing	exist	VERB
ejpam-6556	5	7	findings	finding	NOUN
ejpam-6556	5	8	,	,	PUNCT
ejpam-6556	5	9	both	both	CCONJ
ejpam-6556	5	10	in	in	ADP
ejpam-6556	5	11	terms	term	NOUN
ejpam-6556	5	12	of	of	ADP
ejpam-6556	5	13	generality	generality	NOUN
ejpam-6556	5	14	and	and	CCONJ
ejpam-6556	5	15	special	special	ADJ
ejpam-6556	5	16	cases	case	NOUN
ejpam-6556	5	17	.	.	PUNCT
ejpam-6556	6	1	to	to	PART
ejpam-6556	6	2	validate	validate	VERB
ejpam-6556	6	3	our	our	PRON
ejpam-6556	6	4	results	result	NOUN
ejpam-6556	6	5	,	,	PUNCT
ejpam-6556	6	6	we	we	PRON
ejpam-6556	6	7	provide	provide	VERB
ejpam-6556	6	8	remarks	remark	NOUN
ejpam-6556	6	9	that	that	PRON
ejpam-6556	6	10	recover	recover	VERB
ejpam-6556	6	11	various	various	ADJ
ejpam-6556	6	12	earlier	early	ADJ
ejpam-6556	6	13	inequalities	inequality	NOUN
ejpam-6556	6	14	.	.	PUNCT
ejpam-6556	7	1	additionally	additionally	ADV
ejpam-6556	7	2	,	,	PUNCT
ejpam-6556	7	3	we	we	PRON
ejpam-6556	7	4	present	present	VERB
ejpam-6556	7	5	applications	application	NOUN
ejpam-6556	7	6	related	relate	VERB
ejpam-6556	7	7	to	to	AUX
ejpam-6556	7	8	entropy	entropy	VERB
ejpam-6556	7	9	measures	measure	NOUN
ejpam-6556	7	10	that	that	PRON
ejpam-6556	7	11	demonstrate	demonstrate	VERB
ejpam-6556	7	12	the	the	DET
ejpam-6556	7	13	practical	practical	ADJ
ejpam-6556	7	14	utility	utility	NOUN
ejpam-6556	7	15	of	of	ADP
ejpam-6556	7	16	our	our	PRON
ejpam-6556	7	17	main	main	ADJ
ejpam-6556	7	18	findings	finding	NOUN
ejpam-6556	7	19	.	.	PUNCT
ejpam-6556	8	1	2020	2020	NUM
ejpam-6556	8	2	mathematics	mathematic	NOUN
ejpam-6556	8	3	subject	subject	NOUN
ejpam-6556	8	4	classifications	classification	NOUN
ejpam-6556	8	5	:	:	PUNCT
ejpam-6556	8	6	11b73	11b73	NUM
ejpam-6556	8	7	,	,	PUNCT
ejpam-6556	8	8	11b83	11b83	NUM
ejpam-6556	8	9	key	key	ADJ
ejpam-6556	8	10	words	word	NOUN
ejpam-6556	8	11	and	and	CCONJ
ejpam-6556	8	12	phrases	phrase	NOUN
ejpam-6556	8	13	:	:	PUNCT
ejpam-6556	8	14	preinvex	preinvex	NOUN
ejpam-6556	8	15	functions	function	NOUN
ejpam-6556	8	16	,	,	PUNCT
ejpam-6556	8	17	hermite	hermite	ADJ
ejpam-6556	8	18	–	–	PUNCT
ejpam-6556	8	19	hadamard	hadamard	ADJ
ejpam-6556	8	20	-	-	PUNCT
ejpam-6556	8	21	type	type	NOUN
ejpam-6556	8	22	inequalities	inequality	NOUN
ejpam-6556	8	23	,	,	PUNCT
ejpam-6556	8	24	ab	ab	ADJ
ejpam-6556	8	25	-	-	PUNCT
ejpam-6556	8	26	fractional	fractional	ADJ
ejpam-6556	8	27	operators	operator	NOUN
ejpam-6556	8	28	,	,	PUNCT
ejpam-6556	8	29	raina	raina	PROPN
ejpam-6556	8	30	special	special	ADJ
ejpam-6556	8	31	functions	function	NOUN
ejpam-6556	8	32	,	,	PUNCT
ejpam-6556	8	33	pachpatte	pachpatte	NOUN
ejpam-6556	8	34	-	-	PUNCT
ejpam-6556	8	35	type	type	NOUN
ejpam-6556	8	36	integral	integral	ADJ
ejpam-6556	8	37	inequalities	inequality	NOUN
ejpam-6556	8	38	,	,	PUNCT
ejpam-6556	8	39	fractional	fractional	ADJ
ejpam-6556	8	40	calculus	calculus	NOUN
ejpam-6556	8	41	∗corresponding	∗corresponde	VERB
ejpam-6556	8	42	author	author	NOUN
ejpam-6556	8	43	.	.	PUNCT
ejpam-6556	9	1	doi	doi	NOUN
ejpam-6556	9	2	:	:	PUNCT
ejpam-6556	9	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6556	https://doi.org/10.29020/nybg.ejpam.v18i3.6556	NOUN
ejpam-6556	9	4	email	email	NOUN
ejpam-6556	9	5	address	address	NOUN
ejpam-6556	9	6	:	:	PUNCT
ejpam-6556	9	7	jemacias@correo.uaa.mx	jemacias@correo.uaa.mx	PROPN
ejpam-6556	9	8	(	(	PUNCT
ejpam-6556	9	9	j.	j.	PROPN
ejpam-6556	9	10	e.	e.	PROPN
ejpam-6556	9	11	maćıas	maćıas	PROPN
ejpam-6556	9	12	-	-	PUNCT
ejpam-6556	9	13	dı́az	dı́az	NOUN
ejpam-6556	9	14	)	)	PUNCT
ejpam-6556	9	15	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6556	10	1	1	1	NUM
ejpam-6556	10	2	copyright	copyright	NOUN
ejpam-6556	10	3	:	:	PUNCT
ejpam-6556	10	4	©	©	PROPN
ejpam-6556	10	5	2025	2025	NUM
ejpam-6556	10	6	the	the	DET
ejpam-6556	10	7	author(s	author(s	NOUN
ejpam-6556	10	8	)	)	PUNCT
ejpam-6556	10	9	.	.	PUNCT
ejpam-6556	11	1	(	(	PUNCT
ejpam-6556	11	2	cc	cc	NOUN
ejpam-6556	11	3	by	by	ADP
ejpam-6556	11	4	-	-	PUNCT
ejpam-6556	11	5	nc	nc	PROPN
ejpam-6556	11	6	4.0	4.0	NUM
ejpam-6556	11	7	)	)	PUNCT
ejpam-6556	11	8	m.	m.	NOUN
ejpam-6556	11	9	tariq	tariq	PROPN
ejpam-6556	11	10	et	et	PROPN
ejpam-6556	11	11	al	al	PROPN
ejpam-6556	11	12	.	.	PUNCT
ejpam-6556	11	13	/	/	SYM
ejpam-6556	11	14	eur	eur	PROPN
ejpam-6556	11	15	.	.	PUNCT
ejpam-6556	12	1	j.	j.	PROPN
ejpam-6556	12	2	pure	pure	PROPN
ejpam-6556	12	3	appl	appl	PROPN
ejpam-6556	12	4	.	.	PROPN
ejpam-6556	12	5	math	math	PROPN
ejpam-6556	12	6	,	,	PUNCT
ejpam-6556	12	7	18	18	NUM
ejpam-6556	12	8	(	(	PUNCT
ejpam-6556	12	9	3	3	NUM
ejpam-6556	12	10	)	)	PUNCT
ejpam-6556	12	11	(	(	PUNCT
ejpam-6556	12	12	2025	2025	NUM
ejpam-6556	12	13	)	)	PUNCT
ejpam-6556	12	14	,	,	PUNCT
ejpam-6556	12	15	6556	6556	NUM
ejpam-6556	12	16	2	2	NUM
ejpam-6556	12	17	of	of	ADP
ejpam-6556	12	18	28	28	NUM
ejpam-6556	12	19	1	1	NUM
ejpam-6556	12	20	.	.	PUNCT
ejpam-6556	13	1	introduction	introduction	NOUN
ejpam-6556	13	2	convex	convex	NOUN
ejpam-6556	13	3	analysis	analysis	NOUN
ejpam-6556	13	4	offers	offer	VERB
ejpam-6556	13	5	a	a	DET
ejpam-6556	13	6	strong	strong	ADJ
ejpam-6556	13	7	mathematical	mathematical	ADJ
ejpam-6556	13	8	foundation	foundation	NOUN
ejpam-6556	13	9	for	for	ADP
ejpam-6556	13	10	researching	research	VERB
ejpam-6556	13	11	and	and	CCONJ
ejpam-6556	13	12	resolving	resolve	VERB
ejpam-6556	13	13	issues	issue	NOUN
ejpam-6556	13	14	in	in	ADP
ejpam-6556	13	15	a	a	DET
ejpam-6556	13	16	wide	wide	ADJ
ejpam-6556	13	17	range	range	NOUN
ejpam-6556	13	18	of	of	ADP
ejpam-6556	13	19	fields	field	NOUN
ejpam-6556	13	20	.	.	PUNCT
ejpam-6556	14	1	convexity	convexity	NOUN
ejpam-6556	14	2	is	be	AUX
ejpam-6556	14	3	a	a	DET
ejpam-6556	14	4	widely	widely	ADV
ejpam-6556	14	5	developed	develop	VERB
ejpam-6556	14	6	concept	concept	NOUN
ejpam-6556	14	7	that	that	PRON
ejpam-6556	14	8	is	be	AUX
ejpam-6556	14	9	fundamentally	fundamentally	ADV
ejpam-6556	14	10	introduced	introduce	VERB
ejpam-6556	14	11	in	in	ADP
ejpam-6556	14	12	the	the	DET
ejpam-6556	14	13	widely	widely	ADV
ejpam-6556	14	14	acclaimed	acclaim	VERB
ejpam-6556	14	15	book	book	NOUN
ejpam-6556	14	16	inequalities	inequality	NOUN
ejpam-6556	14	17	by	by	ADP
ejpam-6556	14	18	g.	g.	PROPN
ejpam-6556	14	19	pólya	pólya	PROPN
ejpam-6556	14	20	,	,	PUNCT
ejpam-6556	14	21	g.h	g.h	PROPN
ejpam-6556	14	22	.	.	NOUN
ejpam-6556	14	23	hardy	hardy	ADJ
ejpam-6556	14	24	,	,	PUNCT
ejpam-6556	14	25	and	and	CCONJ
ejpam-6556	14	26	j.e	j.e	PROPN
ejpam-6556	14	27	.	.	PROPN
ejpam-6556	14	28	littlewood	littlewood	PROPN
ejpam-6556	15	1	[	[	X
ejpam-6556	15	2	1	1	NUM
ejpam-6556	15	3	]	]	PUNCT
ejpam-6556	15	4	.	.	PUNCT
ejpam-6556	16	1	this	this	DET
ejpam-6556	16	2	foundational	foundational	ADJ
ejpam-6556	16	3	work	work	NOUN
ejpam-6556	16	4	,	,	PUNCT
ejpam-6556	16	5	which	which	PRON
ejpam-6556	16	6	focused	focus	VERB
ejpam-6556	16	7	solely	solely	ADV
ejpam-6556	16	8	on	on	ADP
ejpam-6556	16	9	the	the	DET
ejpam-6556	16	10	study	study	NOUN
ejpam-6556	16	11	of	of	ADP
ejpam-6556	16	12	inequalities	inequality	NOUN
ejpam-6556	16	13	,	,	PUNCT
ejpam-6556	16	14	swiftly	swiftly	ADV
ejpam-6556	16	15	established	establish	VERB
ejpam-6556	16	16	itself	itself	PRON
ejpam-6556	16	17	as	as	ADP
ejpam-6556	16	18	a	a	DET
ejpam-6556	16	19	standard	standard	ADJ
ejpam-6556	16	20	reference	reference	NOUN
ejpam-6556	16	21	for	for	ADP
ejpam-6556	16	22	mathematicians	mathematician	NOUN
ejpam-6556	16	23	and	and	CCONJ
ejpam-6556	16	24	is	be	AUX
ejpam-6556	16	25	still	still	ADV
ejpam-6556	16	26	a	a	DET
ejpam-6556	16	27	must	must	AUX
ejpam-6556	16	28	-	-	PUNCT
ejpam-6556	16	29	read	read	VERB
ejpam-6556	16	30	for	for	ADP
ejpam-6556	16	31	anyone	anyone	PRON
ejpam-6556	16	32	interested	interested	ADJ
ejpam-6556	16	33	in	in	ADP
ejpam-6556	16	34	learning	learn	VERB
ejpam-6556	16	35	more	more	ADJ
ejpam-6556	16	36	about	about	ADP
ejpam-6556	16	37	this	this	DET
ejpam-6556	16	38	fascinating	fascinating	ADJ
ejpam-6556	16	39	subject	subject	NOUN
ejpam-6556	16	40	.	.	PUNCT
ejpam-6556	17	1	engineering	engineering	NOUN
ejpam-6556	18	1	[	[	X
ejpam-6556	18	2	2	2	NUM
ejpam-6556	18	3	]	]	PUNCT
ejpam-6556	18	4	,	,	PUNCT
ejpam-6556	18	5	finance	finance	NOUN
ejpam-6556	18	6	[	[	X
ejpam-6556	18	7	3	3	NUM
ejpam-6556	18	8	]	]	PUNCT
ejpam-6556	18	9	,	,	PUNCT
ejpam-6556	18	10	economics	economic	NOUN
ejpam-6556	19	1	[	[	X
ejpam-6556	19	2	4	4	NUM
ejpam-6556	19	3	]	]	PUNCT
ejpam-6556	19	4	,	,	PUNCT
ejpam-6556	19	5	and	and	CCONJ
ejpam-6556	19	6	optimization	optimization	NOUN
ejpam-6556	19	7	[	[	X
ejpam-6556	19	8	5	5	NUM
ejpam-6556	19	9	]	]	PUNCT
ejpam-6556	19	10	are	be	AUX
ejpam-6556	19	11	just	just	ADV
ejpam-6556	19	12	a	a	DET
ejpam-6556	19	13	few	few	ADJ
ejpam-6556	19	14	of	of	ADP
ejpam-6556	19	15	the	the	DET
ejpam-6556	19	16	fields	field	NOUN
ejpam-6556	19	17	in	in	ADP
ejpam-6556	19	18	which	which	PRON
ejpam-6556	19	19	the	the	DET
ejpam-6556	19	20	theory	theory	NOUN
ejpam-6556	19	21	of	of	ADP
ejpam-6556	19	22	convex	convex	NOUN
ejpam-6556	19	23	functions	function	NOUN
ejpam-6556	19	24	finds	find	VERB
ejpam-6556	19	25	extensive	extensive	ADJ
ejpam-6556	19	26	use	use	NOUN
ejpam-6556	19	27	.	.	PUNCT
ejpam-6556	20	1	furthermore	furthermore	ADV
ejpam-6556	20	2	,	,	PUNCT
ejpam-6556	20	3	convex	convex	VERB
ejpam-6556	20	4	analysis	analysis	NOUN
ejpam-6556	20	5	serves	serve	VERB
ejpam-6556	20	6	as	as	ADP
ejpam-6556	20	7	the	the	DET
ejpam-6556	20	8	foundation	foundation	NOUN
ejpam-6556	20	9	for	for	ADP
ejpam-6556	20	10	the	the	DET
ejpam-6556	20	11	creation	creation	NOUN
ejpam-6556	20	12	of	of	ADP
ejpam-6556	20	13	strong	strong	ADJ
ejpam-6556	20	14	numerical	numerical	ADJ
ejpam-6556	20	15	techniques	technique	NOUN
ejpam-6556	20	16	,	,	PUNCT
ejpam-6556	20	17	which	which	PRON
ejpam-6556	20	18	offer	offer	VERB
ejpam-6556	20	19	the	the	DET
ejpam-6556	20	20	fundamental	fundamental	ADJ
ejpam-6556	20	21	resources	resource	NOUN
ejpam-6556	20	22	required	require	VERB
ejpam-6556	20	23	to	to	PART
ejpam-6556	20	24	successfully	successfully	ADV
ejpam-6556	20	25	explore	explore	VERB
ejpam-6556	20	26	and	and	CCONJ
ejpam-6556	20	27	resolve	resolve	VERB
ejpam-6556	20	28	challenging	challenge	VERB
ejpam-6556	20	29	mathematical	mathematical	ADJ
ejpam-6556	20	30	issues	issue	NOUN
ejpam-6556	20	31	.	.	PUNCT
ejpam-6556	21	1	mathematical	mathematical	ADJ
ejpam-6556	21	2	inequalities	inequality	NOUN
ejpam-6556	21	3	offers	offer	VERB
ejpam-6556	21	4	a	a	DET
ejpam-6556	21	5	key	key	ADJ
ejpam-6556	21	6	basis	basis	NOUN
ejpam-6556	21	7	for	for	ADP
ejpam-6556	21	8	comprehending	comprehend	VERB
ejpam-6556	21	9	the	the	DET
ejpam-6556	21	10	perform	perform	NOUN
ejpam-6556	21	11	of	of	ADP
ejpam-6556	21	12	functions	function	NOUN
ejpam-6556	21	13	under	under	ADP
ejpam-6556	21	14	integration	integration	NOUN
ejpam-6556	21	15	,	,	PUNCT
ejpam-6556	21	16	leading	lead	VERB
ejpam-6556	21	17	to	to	ADP
ejpam-6556	21	18	crucial	crucial	ADJ
ejpam-6556	21	19	applications	application	NOUN
ejpam-6556	21	20	in	in	ADP
ejpam-6556	21	21	both	both	CCONJ
ejpam-6556	21	22	theoretical	theoretical	ADJ
ejpam-6556	21	23	and	and	CCONJ
ejpam-6556	21	24	applied	applied	ADJ
ejpam-6556	21	25	mathematics	mathematic	NOUN
ejpam-6556	21	26	.	.	PUNCT
ejpam-6556	22	1	fractional	fractional	ADJ
ejpam-6556	22	2	integrals	integral	NOUN
ejpam-6556	22	3	inequalities	inequality	NOUN
ejpam-6556	22	4	involving	involve	VERB
ejpam-6556	22	5	convex	convex	NOUN
ejpam-6556	22	6	functions	function	NOUN
ejpam-6556	22	7	,	,	PUNCT
ejpam-6556	22	8	which	which	PRON
ejpam-6556	22	9	establish	establish	VERB
ejpam-6556	22	10	connections	connection	NOUN
ejpam-6556	22	11	between	between	ADP
ejpam-6556	22	12	the	the	DET
ejpam-6556	22	13	integrals	integral	NOUN
ejpam-6556	22	14	of	of	ADP
ejpam-6556	22	15	convex	convex	NOUN
ejpam-6556	22	16	functions	function	NOUN
ejpam-6556	22	17	and	and	CCONJ
ejpam-6556	22	18	their	their	PRON
ejpam-6556	22	19	values	value	NOUN
ejpam-6556	22	20	at	at	ADP
ejpam-6556	22	21	particular	particular	ADJ
ejpam-6556	22	22	points	point	NOUN
ejpam-6556	22	23	,	,	PUNCT
ejpam-6556	22	24	are	be	AUX
ejpam-6556	22	25	an	an	DET
ejpam-6556	22	26	effective	effective	ADJ
ejpam-6556	22	27	tool	tool	NOUN
ejpam-6556	22	28	in	in	ADP
ejpam-6556	22	29	mathematical	mathematical	ADJ
ejpam-6556	22	30	analysis	analysis	NOUN
ejpam-6556	22	31	.	.	PUNCT
ejpam-6556	23	1	they	they	PRON
ejpam-6556	23	2	are	be	AUX
ejpam-6556	23	3	used	use	VERB
ejpam-6556	23	4	in	in	ADP
ejpam-6556	23	5	a	a	DET
ejpam-6556	23	6	number	number	NOUN
ejpam-6556	23	7	of	of	ADP
ejpam-6556	23	8	areas	area	NOUN
ejpam-6556	23	9	,	,	PUNCT
ejpam-6556	23	10	such	such	ADJ
ejpam-6556	23	11	as	as	ADP
ejpam-6556	23	12	optimization	optimization	NOUN
ejpam-6556	23	13	,	,	PUNCT
ejpam-6556	23	14	information	information	NOUN
ejpam-6556	23	15	theory	theory	NOUN
ejpam-6556	23	16	,	,	PUNCT
ejpam-6556	23	17	and	and	CCONJ
ejpam-6556	23	18	probability	probability	NOUN
ejpam-6556	23	19	theory	theory	NOUN
ejpam-6556	23	20	.	.	PUNCT
ejpam-6556	24	1	for	for	ADP
ejpam-6556	24	2	numerical	numerical	ADJ
ejpam-6556	24	3	methods	method	NOUN
ejpam-6556	24	4	,	,	PUNCT
ejpam-6556	24	5	such	such	ADJ
ejpam-6556	24	6	as	as	ADP
ejpam-6556	24	7	the	the	DET
ejpam-6556	24	8	trapezoidal	trapezoidal	ADJ
ejpam-6556	24	9	rule	rule	NOUN
ejpam-6556	24	10	[	[	X
ejpam-6556	24	11	6	6	NUM
ejpam-6556	24	12	]	]	PUNCT
ejpam-6556	24	13	,	,	PUNCT
ejpam-6556	24	14	simpson	simpson	PROPN
ejpam-6556	24	15	’s	’s	PART
ejpam-6556	24	16	rule	rule	NOUN
ejpam-6556	24	17	[	[	X
ejpam-6556	24	18	7	7	NUM
ejpam-6556	24	19	]	]	PUNCT
ejpam-6556	24	20	,	,	PUNCT
ejpam-6556	24	21	and	and	CCONJ
ejpam-6556	24	22	others	other	NOUN
ejpam-6556	24	23	,	,	PUNCT
ejpam-6556	24	24	these	these	DET
ejpam-6556	24	25	inequalities	inequality	NOUN
ejpam-6556	24	26	are	be	AUX
ejpam-6556	24	27	essential	essential	ADJ
ejpam-6556	24	28	,	,	PUNCT
ejpam-6556	24	29	particularly	particularly	ADV
ejpam-6556	24	30	when	when	SCONJ
ejpam-6556	24	31	estimating	estimate	VERB
ejpam-6556	24	32	the	the	DET
ejpam-6556	24	33	error	error	NOUN
ejpam-6556	24	34	bounds	bound	NOUN
ejpam-6556	24	35	.	.	PUNCT
ejpam-6556	25	1	growing	grow	VERB
ejpam-6556	25	2	exponentially	exponentially	ADV
ejpam-6556	25	3	in	in	ADP
ejpam-6556	25	4	popularity	popularity	NOUN
ejpam-6556	25	5	,	,	PUNCT
ejpam-6556	25	6	fractional	fractional	ADJ
ejpam-6556	25	7	calculus	calculus	NOUN
ejpam-6556	25	8	allows	allow	VERB
ejpam-6556	25	9	one	one	NUM
ejpam-6556	25	10	to	to	PART
ejpam-6556	25	11	define	define	VERB
ejpam-6556	25	12	fractional	fractional	ADJ
ejpam-6556	25	13	derivatives	derivative	NOUN
ejpam-6556	25	14	and	and	CCONJ
ejpam-6556	25	15	fractional	fractional	ADJ
ejpam-6556	25	16	integrals	integral	NOUN
ejpam-6556	25	17	in	in	ADP
ejpam-6556	25	18	several	several	ADJ
ejpam-6556	25	19	ways	way	NOUN
ejpam-6556	25	20	.	.	PUNCT
ejpam-6556	26	1	notably	notably	ADV
ejpam-6556	26	2	,	,	PUNCT
ejpam-6556	26	3	the	the	DET
ejpam-6556	26	4	first	first	ADJ
ejpam-6556	26	5	concept	concept	NOUN
ejpam-6556	26	6	of	of	ADP
ejpam-6556	26	7	fractional	fractional	ADJ
ejpam-6556	26	8	calculus	calculus	NOUN
ejpam-6556	26	9	was	be	AUX
ejpam-6556	26	10	put	put	VERB
ejpam-6556	26	11	forth	forth	ADV
ejpam-6556	26	12	by	by	ADP
ejpam-6556	26	13	leibniz	leibniz	PROPN
ejpam-6556	26	14	and	and	CCONJ
ejpam-6556	26	15	l’hospital	l’hospital	NOUN
ejpam-6556	26	16	in	in	ADP
ejpam-6556	26	17	1695	1695	NUM
ejpam-6556	26	18	.	.	PUNCT
ejpam-6556	27	1	particularly	particularly	ADV
ejpam-6556	27	2	in	in	ADP
ejpam-6556	27	3	view	view	NOUN
ejpam-6556	27	4	of	of	ADP
ejpam-6556	27	5	the	the	DET
ejpam-6556	27	6	flaws	flaw	NOUN
ejpam-6556	27	7	of	of	ADP
ejpam-6556	27	8	traditional	traditional	ADJ
ejpam-6556	27	9	calculus	calculus	NOUN
ejpam-6556	27	10	,	,	PUNCT
ejpam-6556	27	11	the	the	DET
ejpam-6556	27	12	roots	root	NOUN
ejpam-6556	27	13	and	and	CCONJ
ejpam-6556	27	14	ideas	idea	NOUN
ejpam-6556	27	15	of	of	ADP
ejpam-6556	27	16	fractional	fractional	ADJ
ejpam-6556	27	17	calculus	calculus	NOUN
ejpam-6556	27	18	have	have	AUX
ejpam-6556	27	19	lately	lately	ADV
ejpam-6556	27	20	attracted	attract	VERB
ejpam-6556	27	21	great	great	ADJ
ejpam-6556	27	22	attention	attention	NOUN
ejpam-6556	27	23	.	.	PUNCT
ejpam-6556	28	1	fractional	fractional	ADJ
ejpam-6556	28	2	calculus	calculus	NOUN
ejpam-6556	28	3	is	be	AUX
ejpam-6556	28	4	the	the	DET
ejpam-6556	28	5	study	study	NOUN
ejpam-6556	28	6	of	of	ADP
ejpam-6556	28	7	fractional	fractional	ADJ
ejpam-6556	28	8	order	order	NOUN
ejpam-6556	28	9	integrals	integral	NOUN
ejpam-6556	28	10	and	and	CCONJ
ejpam-6556	28	11	derivatives	derivative	NOUN
ejpam-6556	28	12	together	together	ADV
ejpam-6556	28	13	with	with	ADP
ejpam-6556	28	14	their	their	PRON
ejpam-6556	28	15	applications	application	NOUN
ejpam-6556	28	16	in	in	ADP
ejpam-6556	28	17	real	real	ADJ
ejpam-6556	28	18	and	and	CCONJ
ejpam-6556	28	19	complex	complex	ADJ
ejpam-6556	28	20	domains	domain	NOUN
ejpam-6556	28	21	.	.	PUNCT
ejpam-6556	29	1	fractional	fractional	ADJ
ejpam-6556	29	2	integral	integral	ADJ
ejpam-6556	29	3	inequalities	inequality	NOUN
ejpam-6556	29	4	allow	allow	VERB
ejpam-6556	29	5	us	we	PRON
ejpam-6556	29	6	to	to	PART
ejpam-6556	29	7	determine	determine	VERB
ejpam-6556	29	8	the	the	DET
ejpam-6556	29	9	exact	exact	ADJ
ejpam-6556	29	10	stability	stability	NOUN
ejpam-6556	29	11	and	and	CCONJ
ejpam-6556	29	12	uniqueness	uniqueness	NOUN
ejpam-6556	29	13	of	of	ADP
ejpam-6556	29	14	fractional	fractional	ADJ
ejpam-6556	29	15	differential	differential	ADJ
ejpam-6556	29	16	equations	equation	NOUN
ejpam-6556	29	17	.	.	PUNCT
ejpam-6556	30	1	almost	almost	ADV
ejpam-6556	30	2	every	every	PRON
ejpam-6556	30	3	nonlinear	nonlinear	ADJ
ejpam-6556	30	4	discipline	discipline	NOUN
ejpam-6556	30	5	or	or	CCONJ
ejpam-6556	30	6	area	area	NOUN
ejpam-6556	30	7	of	of	ADP
ejpam-6556	30	8	study	study	NOUN
ejpam-6556	30	9	in	in	ADP
ejpam-6556	30	10	the	the	DET
ejpam-6556	30	11	modern	modern	ADJ
ejpam-6556	30	12	world	world	NOUN
ejpam-6556	30	13	is	be	AUX
ejpam-6556	30	14	impacted	impact	VERB
ejpam-6556	30	15	by	by	ADP
ejpam-6556	30	16	fractional	fractional	ADJ
ejpam-6556	30	17	methods	method	NOUN
ejpam-6556	30	18	and	and	CCONJ
ejpam-6556	30	19	tools	tool	NOUN
ejpam-6556	30	20	.	.	PUNCT
ejpam-6556	31	1	the	the	DET
ejpam-6556	31	2	subject	subject	ADJ
ejpam-6556	31	3	fractional	fractional	ADJ
ejpam-6556	31	4	calculus	calculus	NOUN
ejpam-6556	31	5	has	have	VERB
ejpam-6556	31	6	many	many	ADJ
ejpam-6556	31	7	applications	application	NOUN
ejpam-6556	31	8	in	in	ADP
ejpam-6556	31	9	control	control	NOUN
ejpam-6556	31	10	systems	system	NOUN
ejpam-6556	31	11	[	[	X
ejpam-6556	31	12	8	8	NUM
ejpam-6556	31	13	]	]	PUNCT
ejpam-6556	31	14	,	,	PUNCT
ejpam-6556	31	15	transform	transform	VERB
ejpam-6556	31	16	theory	theory	NOUN
ejpam-6556	31	17	[	[	X
ejpam-6556	31	18	9	9	NUM
ejpam-6556	31	19	]	]	PUNCT
ejpam-6556	31	20	,	,	PUNCT
ejpam-6556	31	21	nanotechnology	nanotechnology	NOUN
ejpam-6556	32	1	[	[	X
ejpam-6556	32	2	10	10	NUM
ejpam-6556	32	3	]	]	PUNCT
ejpam-6556	32	4	,	,	PUNCT
ejpam-6556	32	5	modeling	model	VERB
ejpam-6556	32	6	[	[	X
ejpam-6556	32	7	11	11	NUM
ejpam-6556	32	8	,	,	PUNCT
ejpam-6556	32	9	12	12	NUM
ejpam-6556	32	10	]	]	PUNCT
ejpam-6556	32	11	,	,	PUNCT
ejpam-6556	32	12	fluid	fluid	ADJ
ejpam-6556	32	13	flow	flow	NOUN
ejpam-6556	32	14	[	[	X
ejpam-6556	32	15	13	13	NUM
ejpam-6556	32	16	]	]	PUNCT
ejpam-6556	32	17	,	,	PUNCT
ejpam-6556	32	18	mathematical	mathematical	ADJ
ejpam-6556	32	19	biology	biology	NOUN
ejpam-6556	33	1	[	[	X
ejpam-6556	33	2	14	14	NUM
ejpam-6556	33	3	]	]	PUNCT
ejpam-6556	33	4	,	,	PUNCT
ejpam-6556	33	5	epidemiology	epidemiology	NOUN
ejpam-6556	33	6	[	[	X
ejpam-6556	33	7	15	15	NUM
ejpam-6556	33	8	]	]	PUNCT
ejpam-6556	33	9	,	,	PUNCT
ejpam-6556	33	10	optimal	optimal	ADJ
ejpam-6556	33	11	control	control	NOUN
ejpam-6556	34	1	[	[	X
ejpam-6556	34	2	16	16	NUM
ejpam-6556	34	3	,	,	PUNCT
ejpam-6556	34	4	17	17	NUM
ejpam-6556	34	5	]	]	PUNCT
ejpam-6556	34	6	and	and	CCONJ
ejpam-6556	34	7	physics	physics	NOUN
ejpam-6556	35	1	[	[	X
ejpam-6556	35	2	18	18	NUM
ejpam-6556	35	3	]	]	PUNCT
ejpam-6556	35	4	.	.	PUNCT
ejpam-6556	36	1	the	the	DET
ejpam-6556	36	2	aforementioned	aforementioned	ADJ
ejpam-6556	36	3	widespread	widespread	ADJ
ejpam-6556	36	4	viewpoints	viewpoint	NOUN
ejpam-6556	36	5	and	and	CCONJ
ejpam-6556	36	6	significance	significance	NOUN
ejpam-6556	36	7	made	make	VERB
ejpam-6556	36	8	the	the	DET
ejpam-6556	36	9	discussion	discussion	NOUN
ejpam-6556	36	10	of	of	ADP
ejpam-6556	36	11	fractional	fractional	ADJ
ejpam-6556	36	12	operators	operator	NOUN
ejpam-6556	36	13	intriguing	intriguing	ADJ
ejpam-6556	36	14	to	to	ADP
ejpam-6556	36	15	readers	reader	NOUN
ejpam-6556	36	16	and	and	CCONJ
ejpam-6556	36	17	academics	academic	NOUN
ejpam-6556	36	18	.	.	PUNCT
ejpam-6556	37	1	when	when	SCONJ
ejpam-6556	37	2	defining	define	VERB
ejpam-6556	37	3	and	and	CCONJ
ejpam-6556	37	4	assessing	assess	VERB
ejpam-6556	37	5	statistical	statistical	ADJ
ejpam-6556	37	6	issues	issue	NOUN
ejpam-6556	37	7	and	and	CCONJ
ejpam-6556	37	8	formulas	formula	NOUN
ejpam-6556	37	9	that	that	PRON
ejpam-6556	37	10	resemble	resemble	VERB
ejpam-6556	37	11	quadratures	quadrature	NOUN
ejpam-6556	37	12	,	,	PUNCT
ejpam-6556	37	13	this	this	DET
ejpam-6556	37	14	theory	theory	NOUN
ejpam-6556	37	15	is	be	AUX
ejpam-6556	37	16	helpful	helpful	ADJ
ejpam-6556	37	17	.	.	PUNCT
ejpam-6556	38	1	an	an	DET
ejpam-6556	38	2	important	important	ADJ
ejpam-6556	38	3	development	development	NOUN
ejpam-6556	38	4	in	in	ADP
ejpam-6556	38	5	fractional	fractional	ADJ
ejpam-6556	38	6	calculus	calculus	NOUN
ejpam-6556	38	7	is	be	AUX
ejpam-6556	38	8	the	the	DET
ejpam-6556	38	9	atangana	atangana	PROPN
ejpam-6556	38	10	-	-	PUNCT
ejpam-6556	38	11	baleanu	baleanu	ADJ
ejpam-6556	38	12	fractional	fractional	ADJ
ejpam-6556	38	13	integral	integral	ADJ
ejpam-6556	38	14	operator	operator	NOUN
ejpam-6556	38	15	(	(	PUNCT
ejpam-6556	38	16	abfio	abfio	PROPN
ejpam-6556	38	17	)	)	PUNCT
ejpam-6556	38	18	,	,	PUNCT
ejpam-6556	38	19	which	which	PRON
ejpam-6556	38	20	provides	provide	VERB
ejpam-6556	38	21	improved	improved	ADJ
ejpam-6556	38	22	modeling	modeling	NOUN
ejpam-6556	38	23	capabilities	capability	NOUN
ejpam-6556	38	24	for	for	ADP
ejpam-6556	38	25	complex	complex	ADJ
ejpam-6556	38	26	systems	system	NOUN
ejpam-6556	38	27	.	.	PUNCT
ejpam-6556	39	1	for	for	ADP
ejpam-6556	39	2	other	other	ADJ
ejpam-6556	39	3	relevant	relevant	ADJ
ejpam-6556	39	4	inequalities	inequality	NOUN
ejpam-6556	39	5	involving	involve	VERB
ejpam-6556	39	6	different	different	ADJ
ejpam-6556	39	7	fractional	fractional	ADJ
ejpam-6556	39	8	operators	operator	NOUN
ejpam-6556	39	9	,	,	PUNCT
ejpam-6556	39	10	we	we	PRON
ejpam-6556	39	11	refer	refer	VERB
ejpam-6556	39	12	the	the	DET
ejpam-6556	39	13	reader	reader	NOUN
ejpam-6556	39	14	to	to	ADP
ejpam-6556	39	15	the	the	DET
ejpam-6556	39	16	following	follow	VERB
ejpam-6556	39	17	sources	source	NOUN
ejpam-6556	39	18	[	[	X
ejpam-6556	39	19	19–23	19–23	NUM
ejpam-6556	39	20	]	]	PUNCT
ejpam-6556	39	21	because	because	SCONJ
ejpam-6556	39	22	of	of	ADP
ejpam-6556	39	23	their	their	PRON
ejpam-6556	39	24	strong	strong	ADJ
ejpam-6556	39	25	applications	application	NOUN
ejpam-6556	39	26	in	in	ADP
ejpam-6556	39	27	analysis	analysis	NOUN
ejpam-6556	39	28	,	,	PUNCT
ejpam-6556	39	29	differential	differential	ADJ
ejpam-6556	39	30	equations	equation	NOUN
ejpam-6556	39	31	,	,	PUNCT
ejpam-6556	39	32	and	and	CCONJ
ejpam-6556	39	33	the	the	DET
ejpam-6556	39	34	applied	apply	VERB
ejpam-6556	39	35	sciences	science	NOUN
ejpam-6556	39	36	,	,	PUNCT
ejpam-6556	39	37	fractional	fractional	ADJ
ejpam-6556	39	38	convex	convex	ADJ
ejpam-6556	39	39	integral	integral	ADJ
ejpam-6556	39	40	inequalities	inequality	NOUN
ejpam-6556	39	41	have	have	AUX
ejpam-6556	39	42	attracted	attract	VERB
ejpam-6556	39	43	a	a	DET
ejpam-6556	39	44	lot	lot	NOUN
ejpam-6556	39	45	of	of	ADP
ejpam-6556	39	46	attention	attention	NOUN
ejpam-6556	39	47	lately	lately	ADV
ejpam-6556	39	48	.	.	PUNCT
ejpam-6556	40	1	by	by	ADP
ejpam-6556	40	2	using	use	VERB
ejpam-6556	40	3	generalized	generalized	ADJ
ejpam-6556	40	4	proportional	proportional	ADJ
ejpam-6556	40	5	fractional	fractional	ADJ
ejpam-6556	40	6	integral	integral	ADJ
ejpam-6556	40	7	operators	operator	NOUN
ejpam-6556	40	8	defined	define	VERB
ejpam-6556	40	9	with	with	ADP
ejpam-6556	40	10	respect	respect	NOUN
ejpam-6556	40	11	to	to	ADP
ejpam-6556	40	12	another	another	DET
ejpam-6556	40	13	function	function	NOUN
ejpam-6556	40	14	,	,	PUNCT
ejpam-6556	40	15	rashid	rashid	PROPN
ejpam-6556	40	16	et	et	PROPN
ejpam-6556	40	17	al	al	PROPN
ejpam-6556	40	18	.	.	PUNCT
ejpam-6556	41	1	[	[	X
ejpam-6556	41	2	24	24	NUM
ejpam-6556	41	3	]	]	PUNCT
ejpam-6556	41	4	introduced	introduce	VERB
ejpam-6556	41	5	new	new	ADJ
ejpam-6556	41	6	estimates	estimate	NOUN
ejpam-6556	41	7	of	of	ADP
ejpam-6556	41	8	integral	integral	ADJ
ejpam-6556	41	9	inequalities	inequality	NOUN
ejpam-6556	41	10	and	and	CCONJ
ejpam-6556	41	11	offered	offer	VERB
ejpam-6556	41	12	m.	m.	NOUN
ejpam-6556	41	13	tariq	tariq	PROPN
ejpam-6556	41	14	et	et	PROPN
ejpam-6556	41	15	al	al	PROPN
ejpam-6556	41	16	.	.	PUNCT
ejpam-6556	41	17	/	/	SYM
ejpam-6556	41	18	eur	eur	PROPN
ejpam-6556	41	19	.	.	PUNCT
ejpam-6556	42	1	j.	j.	PROPN
ejpam-6556	42	2	pure	pure	PROPN
ejpam-6556	42	3	appl	appl	PROPN
ejpam-6556	42	4	.	.	PROPN
ejpam-6556	42	5	math	math	PROPN
ejpam-6556	42	6	,	,	PUNCT
ejpam-6556	42	7	18	18	NUM
ejpam-6556	42	8	(	(	PUNCT
ejpam-6556	42	9	3	3	NUM
ejpam-6556	42	10	)	)	PUNCT
ejpam-6556	42	11	(	(	PUNCT
ejpam-6556	42	12	2025	2025	NUM
ejpam-6556	42	13	)	)	PUNCT
ejpam-6556	42	14	,	,	PUNCT
ejpam-6556	42	15	6556	6556	NUM
ejpam-6556	42	16	3	3	NUM
ejpam-6556	42	17	of	of	ADP
ejpam-6556	42	18	28	28	NUM
ejpam-6556	42	19	a	a	DET
ejpam-6556	42	20	versatile	versatile	ADJ
ejpam-6556	42	21	framework	framework	NOUN
ejpam-6556	42	22	for	for	ADP
ejpam-6556	42	23	extending	extend	VERB
ejpam-6556	42	24	classical	classical	ADJ
ejpam-6556	42	25	results	result	NOUN
ejpam-6556	42	26	like	like	ADP
ejpam-6556	42	27	hermite	hermite	X
ejpam-6556	42	28	–	–	PUNCT
ejpam-6556	42	29	hadamard	hadamard	ADJ
ejpam-6556	42	30	inequalities	inequality	NOUN
ejpam-6556	42	31	.	.	PUNCT
ejpam-6556	43	1	similarly	similarly	ADV
ejpam-6556	43	2	,	,	PUNCT
ejpam-6556	43	3	a	a	DET
ejpam-6556	43	4	larger	large	ADJ
ejpam-6556	43	5	class	class	NOUN
ejpam-6556	43	6	of	of	ADP
ejpam-6556	43	7	functions	function	NOUN
ejpam-6556	43	8	could	could	AUX
ejpam-6556	43	9	be	be	AUX
ejpam-6556	43	10	analyzed	analyze	VERB
ejpam-6556	43	11	under	under	ADP
ejpam-6556	43	12	fractional	fractional	ADJ
ejpam-6556	43	13	integral	integral	ADJ
ejpam-6556	43	14	operators	operator	NOUN
ejpam-6556	43	15	thanks	thank	NOUN
ejpam-6556	43	16	to	to	ADP
ejpam-6556	43	17	the	the	DET
ejpam-6556	43	18	development	development	NOUN
ejpam-6556	43	19	of	of	ADP
ejpam-6556	43	20	some	some	DET
ejpam-6556	43	21	mean	mean	ADJ
ejpam-6556	43	22	-	-	PUNCT
ejpam-6556	43	23	type	type	NOUN
ejpam-6556	43	24	fractional	fractional	ADJ
ejpam-6556	43	25	integral	integral	ADJ
ejpam-6556	43	26	inequalities	inequality	NOUN
ejpam-6556	43	27	by	by	ADP
ejpam-6556	43	28	samraiz	samraiz	PROPN
ejpam-6556	43	29	et	et	PROPN
ejpam-6556	43	30	al	al	PROPN
ejpam-6556	43	31	.	.	PUNCT
ejpam-6556	44	1	[	[	X
ejpam-6556	44	2	25	25	NUM
ejpam-6556	44	3	]	]	PUNCT
ejpam-6556	44	4	using	use	VERB
ejpam-6556	44	5	various	various	ADJ
ejpam-6556	44	6	convexity	convexity	NOUN
ejpam-6556	44	7	concepts	concept	NOUN
ejpam-6556	44	8	.	.	PUNCT
ejpam-6556	45	1	however	however	ADV
ejpam-6556	45	2	,	,	PUNCT
ejpam-6556	45	3	akın	akın	PROPN
ejpam-6556	46	1	[	[	X
ejpam-6556	46	2	26	26	NUM
ejpam-6556	46	3	]	]	PUNCT
ejpam-6556	46	4	extended	extend	VERB
ejpam-6556	46	5	the	the	DET
ejpam-6556	46	6	use	use	NOUN
ejpam-6556	46	7	of	of	ADP
ejpam-6556	46	8	convex	convex	ADJ
ejpam-6556	46	9	integral	integral	ADJ
ejpam-6556	46	10	inequalities	inequality	NOUN
ejpam-6556	46	11	in	in	ADP
ejpam-6556	46	12	dynamic	dynamic	ADJ
ejpam-6556	46	13	systems	system	NOUN
ejpam-6556	46	14	and	and	CCONJ
ejpam-6556	46	15	brought	bring	VERB
ejpam-6556	46	16	continuous	continuous	ADJ
ejpam-6556	46	17	and	and	CCONJ
ejpam-6556	46	18	discrete	discrete	ADJ
ejpam-6556	46	19	fractional	fractional	ADJ
ejpam-6556	46	20	analysis	analysis	NOUN
ejpam-6556	46	21	together	together	ADV
ejpam-6556	46	22	by	by	ADP
ejpam-6556	46	23	establishing	establish	VERB
ejpam-6556	46	24	fractional	fractional	ADJ
ejpam-6556	46	25	maximal	maximal	ADJ
ejpam-6556	46	26	delta	delta	NOUN
ejpam-6556	46	27	integral	integral	ADJ
ejpam-6556	46	28	inequalities	inequality	NOUN
ejpam-6556	46	29	on	on	ADP
ejpam-6556	46	30	time	time	NOUN
ejpam-6556	46	31	scales	scale	NOUN
ejpam-6556	46	32	.	.	PUNCT
ejpam-6556	47	1	to	to	PART
ejpam-6556	47	2	gain	gain	VERB
ejpam-6556	47	3	greater	great	ADJ
ejpam-6556	47	4	control	control	NOUN
ejpam-6556	47	5	over	over	ADP
ejpam-6556	47	6	memory	memory	NOUN
ejpam-6556	47	7	effects	effect	NOUN
ejpam-6556	47	8	,	,	PUNCT
ejpam-6556	47	9	mohammed	mohammed	PROPN
ejpam-6556	47	10	et	et	PROPN
ejpam-6556	47	11	al	al	PROPN
ejpam-6556	47	12	.	.	PUNCT
ejpam-6556	48	1	[	[	X
ejpam-6556	48	2	27	27	NUM
ejpam-6556	48	3	]	]	PUNCT
ejpam-6556	48	4	derived	derive	VERB
ejpam-6556	48	5	generalized	generalize	VERB
ejpam-6556	48	6	hermite	hermite	ADJ
ejpam-6556	48	7	–	–	PUNCT
ejpam-6556	48	8	hadamard	hadamard	ADJ
ejpam-6556	48	9	inequalities	inequality	NOUN
ejpam-6556	48	10	using	use	VERB
ejpam-6556	48	11	tempering	temper	VERB
ejpam-6556	48	12	fractional	fractional	ADJ
ejpam-6556	48	13	integrals	integral	NOUN
ejpam-6556	48	14	.	.	PUNCT
ejpam-6556	49	1	in	in	ADP
ejpam-6556	49	2	the	the	DET
ejpam-6556	49	3	context	context	NOUN
ejpam-6556	49	4	of	of	ADP
ejpam-6556	49	5	weighted	weight	VERB
ejpam-6556	49	6	inequalities	inequality	NOUN
ejpam-6556	49	7	,	,	PUNCT
ejpam-6556	49	8	rahman	rahman	PROPN
ejpam-6556	49	9	et	et	PROPN
ejpam-6556	49	10	al	al	PROPN
ejpam-6556	49	11	.	.	PUNCT
ejpam-6556	50	1	[	[	X
ejpam-6556	50	2	28	28	NUM
ejpam-6556	50	3	]	]	PUNCT
ejpam-6556	50	4	investigated	investigate	VERB
ejpam-6556	50	5	weighted	weight	VERB
ejpam-6556	50	6	fractional	fractional	ADJ
ejpam-6556	50	7	integral	integral	ADJ
ejpam-6556	50	8	inequalities	inequality	NOUN
ejpam-6556	50	9	for	for	ADP
ejpam-6556	50	10	chebyshev	chebyshev	NOUN
ejpam-6556	50	11	functionals	functional	NOUN
ejpam-6556	50	12	,	,	PUNCT
ejpam-6556	50	13	offering	offer	VERB
ejpam-6556	50	14	useful	useful	ADJ
ejpam-6556	50	15	resources	resource	NOUN
ejpam-6556	50	16	for	for	ADP
ejpam-6556	50	17	weighting	weight	VERB
ejpam-6556	50	18	structures	structure	NOUN
ejpam-6556	50	19	and	and	CCONJ
ejpam-6556	50	20	monotonicity	monotonicity	NOUN
ejpam-6556	50	21	in	in	ADP
ejpam-6556	50	22	fractional	fractional	ADJ
ejpam-6556	50	23	calculus	calculus	NOUN
ejpam-6556	50	24	.	.	PUNCT
ejpam-6556	51	1	by	by	ADP
ejpam-6556	51	2	developing	develop	VERB
ejpam-6556	51	3	generalized	generalized	ADJ
ejpam-6556	51	4	reverse	reverse	ADJ
ejpam-6556	51	5	minkowski	minkowski	ADJ
ejpam-6556	51	6	inequalities	inequality	NOUN
ejpam-6556	51	7	using	use	VERB
ejpam-6556	51	8	conformable	conformable	ADJ
ejpam-6556	51	9	fractional	fractional	ADJ
ejpam-6556	51	10	integrals	integral	NOUN
ejpam-6556	51	11	,	,	PUNCT
ejpam-6556	51	12	rashid	rashid	PROPN
ejpam-6556	51	13	et	et	PROPN
ejpam-6556	51	14	al	al	PROPN
ejpam-6556	51	15	.	.	PUNCT
ejpam-6556	52	1	[	[	X
ejpam-6556	52	2	29	29	NUM
ejpam-6556	52	3	]	]	PUNCT
ejpam-6556	52	4	expanded	expand	VERB
ejpam-6556	52	5	on	on	ADP
ejpam-6556	52	6	classical	classical	ADJ
ejpam-6556	52	7	inequalities	inequality	NOUN
ejpam-6556	52	8	and	and	CCONJ
ejpam-6556	52	9	provided	provide	VERB
ejpam-6556	52	10	insight	insight	NOUN
ejpam-6556	52	11	into	into	ADP
ejpam-6556	52	12	fractional	fractional	ADJ
ejpam-6556	52	13	variational	variational	ADJ
ejpam-6556	52	14	problems	problem	NOUN
ejpam-6556	52	15	.	.	PUNCT
ejpam-6556	53	1	rahman	rahman	PROPN
ejpam-6556	53	2	et	et	PROPN
ejpam-6556	53	3	al	al	PROPN
ejpam-6556	53	4	.	.	PUNCT
ejpam-6556	54	1	[	[	X
ejpam-6556	54	2	30	30	NUM
ejpam-6556	54	3	]	]	PUNCT
ejpam-6556	54	4	recently	recently	ADV
ejpam-6556	54	5	introduced	introduce	VERB
ejpam-6556	54	6	hattaf	hattaf	NOUN
ejpam-6556	54	7	fractional	fractional	PROPN
ejpam-6556	54	8	operators	operator	NOUN
ejpam-6556	54	9	,	,	PUNCT
ejpam-6556	54	10	which	which	PRON
ejpam-6556	54	11	are	be	AUX
ejpam-6556	54	12	a	a	DET
ejpam-6556	54	13	more	more	ADV
ejpam-6556	54	14	general	general	ADJ
ejpam-6556	54	15	type	type	NOUN
ejpam-6556	54	16	of	of	ADP
ejpam-6556	54	17	fractional	fractional	ADJ
ejpam-6556	54	18	operator	operator	NOUN
ejpam-6556	54	19	.	.	PUNCT
ejpam-6556	55	1	they	they	PRON
ejpam-6556	55	2	also	also	ADV
ejpam-6556	55	3	make	make	VERB
ejpam-6556	55	4	it	it	PRON
ejpam-6556	55	5	possible	possible	ADJ
ejpam-6556	55	6	to	to	PART
ejpam-6556	55	7	use	use	VERB
ejpam-6556	55	8	new	new	ADJ
ejpam-6556	55	9	types	type	NOUN
ejpam-6556	55	10	of	of	ADP
ejpam-6556	55	11	integral	integral	ADJ
ejpam-6556	55	12	inequalities	inequality	NOUN
ejpam-6556	55	13	in	in	ADP
ejpam-6556	55	14	many	many	ADJ
ejpam-6556	55	15	different	different	ADJ
ejpam-6556	55	16	fields	field	NOUN
ejpam-6556	55	17	.	.	PUNCT
ejpam-6556	56	1	tunç	tunç	NOUN
ejpam-6556	56	2	et	et	NOUN
ejpam-6556	56	3	al	al	PROPN
ejpam-6556	56	4	.	.	PUNCT
ejpam-6556	57	1	[	[	X
ejpam-6556	57	2	31	31	NUM
ejpam-6556	57	3	]	]	PUNCT
ejpam-6556	57	4	enhanced	enhance	VERB
ejpam-6556	57	5	the	the	DET
ejpam-6556	57	6	resources	resource	NOUN
ejpam-6556	57	7	for	for	ADP
ejpam-6556	57	8	fractional	fractional	ADJ
ejpam-6556	57	9	integral	integral	ADJ
ejpam-6556	57	10	analysis	analysis	NOUN
ejpam-6556	57	11	by	by	ADP
ejpam-6556	57	12	proposing	propose	VERB
ejpam-6556	57	13	novel	novel	ADJ
ejpam-6556	57	14	generalized	generalize	VERB
ejpam-6556	57	15	fractional	fractional	ADJ
ejpam-6556	57	16	integral	integral	ADJ
ejpam-6556	57	17	operators	operator	NOUN
ejpam-6556	57	18	that	that	PRON
ejpam-6556	57	19	resulted	result	VERB
ejpam-6556	57	20	in	in	ADP
ejpam-6556	57	21	new	new	ADJ
ejpam-6556	57	22	hermite	hermite	ADJ
ejpam-6556	57	23	–	–	PUNCT
ejpam-6556	57	24	hadamard	hadamard	ADJ
ejpam-6556	57	25	and	and	CCONJ
ejpam-6556	57	26	ostrowski	ostrowski	ADJ
ejpam-6556	57	27	-	-	PUNCT
ejpam-6556	57	28	type	type	NOUN
ejpam-6556	57	29	inequalities	inequality	NOUN
ejpam-6556	57	30	.	.	PUNCT
ejpam-6556	58	1	sahoo	sahoo	PROPN
ejpam-6556	58	2	et	et	PROPN
ejpam-6556	58	3	al	al	PROPN
ejpam-6556	58	4	.	.	PUNCT
ejpam-6556	59	1	[	[	X
ejpam-6556	59	2	32	32	NUM
ejpam-6556	59	3	]	]	PUNCT
ejpam-6556	59	4	presented	present	VERB
ejpam-6556	59	5	generalized	generalized	ADJ
ejpam-6556	59	6	exponential	exponential	ADJ
ejpam-6556	59	7	-	-	PUNCT
ejpam-6556	59	8	type	type	NOUN
ejpam-6556	59	9	convex	convex	NOUN
ejpam-6556	59	10	functions	function	NOUN
ejpam-6556	59	11	and	and	CCONJ
ejpam-6556	59	12	employed	employ	VERB
ejpam-6556	59	13	them	they	PRON
ejpam-6556	59	14	to	to	PART
ejpam-6556	59	15	formulate	formulate	VERB
ejpam-6556	59	16	novel	novel	ADJ
ejpam-6556	59	17	ostrowski	ostrowski	ADJ
ejpam-6556	59	18	-	-	PUNCT
ejpam-6556	59	19	type	type	NOUN
ejpam-6556	59	20	fractional	fractional	ADJ
ejpam-6556	59	21	integral	integral	ADJ
ejpam-6556	59	22	inequalities	inequality	NOUN
ejpam-6556	59	23	,	,	PUNCT
ejpam-6556	59	24	thereby	thereby	ADV
ejpam-6556	59	25	encompassing	encompass	VERB
ejpam-6556	59	26	a	a	DET
ejpam-6556	59	27	broader	broad	ADJ
ejpam-6556	59	28	spectrum	spectrum	NOUN
ejpam-6556	59	29	of	of	ADP
ejpam-6556	59	30	convexity	convexity	NOUN
ejpam-6556	59	31	behavior	behavior	NOUN
ejpam-6556	59	32	.	.	PUNCT
ejpam-6556	60	1	kashuri	kashuri	PROPN
ejpam-6556	60	2	et	et	PROPN
ejpam-6556	60	3	al	al	PROPN
ejpam-6556	60	4	.	.	PUNCT
ejpam-6556	61	1	[	[	X
ejpam-6556	61	2	33	33	NUM
ejpam-6556	61	3	]	]	PUNCT
ejpam-6556	61	4	provided	provide	VERB
ejpam-6556	61	5	a	a	DET
ejpam-6556	61	6	unifying	unifying	ADJ
ejpam-6556	61	7	approach	approach	NOUN
ejpam-6556	61	8	and	and	CCONJ
ejpam-6556	61	9	illustrated	illustrate	VERB
ejpam-6556	61	10	the	the	DET
ejpam-6556	61	11	flexibility	flexibility	NOUN
ejpam-6556	61	12	of	of	ADP
ejpam-6556	61	13	the	the	DET
ejpam-6556	61	14	fractional	fractional	ADJ
ejpam-6556	61	15	integral	integral	ADJ
ejpam-6556	61	16	framework	framework	NOUN
ejpam-6556	61	17	by	by	ADP
ejpam-6556	61	18	constructing	construct	VERB
ejpam-6556	61	19	integral	integral	ADJ
ejpam-6556	61	20	inequalities	inequality	NOUN
ejpam-6556	61	21	using	use	VERB
ejpam-6556	61	22	general	general	ADJ
ejpam-6556	61	23	fractional	fractional	ADJ
ejpam-6556	61	24	operators	operator	NOUN
ejpam-6556	61	25	.	.	PUNCT
ejpam-6556	62	1	through	through	ADP
ejpam-6556	62	2	their	their	PRON
ejpam-6556	62	3	work	work	NOUN
ejpam-6556	62	4	with	with	ADP
ejpam-6556	62	5	fractional	fractional	ADJ
ejpam-6556	62	6	calculus	calculus	NOUN
ejpam-6556	62	7	involving	involve	VERB
ejpam-6556	62	8	general	general	ADJ
ejpam-6556	62	9	analytic	analytic	ADJ
ejpam-6556	62	10	kernels	kernel	NOUN
ejpam-6556	62	11	,	,	PUNCT
ejpam-6556	62	12	mohammed	mohammed	PROPN
ejpam-6556	62	13	and	and	CCONJ
ejpam-6556	62	14	fernandez	fernandez	PROPN
ejpam-6556	62	15	[	[	X
ejpam-6556	62	16	34	34	NUM
ejpam-6556	62	17	]	]	PUNCT
ejpam-6556	62	18	expanded	expand	VERB
ejpam-6556	62	19	on	on	ADP
ejpam-6556	62	20	this	this	DET
ejpam-6556	62	21	idea	idea	NOUN
ejpam-6556	62	22	,	,	PUNCT
ejpam-6556	62	23	allowing	allow	VERB
ejpam-6556	62	24	for	for	ADP
ejpam-6556	62	25	a	a	DET
ejpam-6556	62	26	highly	highly	ADV
ejpam-6556	62	27	flexible	flexible	ADJ
ejpam-6556	62	28	approach	approach	NOUN
ejpam-6556	62	29	to	to	ADP
ejpam-6556	62	30	solving	solve	VERB
ejpam-6556	62	31	integral	integral	ADJ
ejpam-6556	62	32	inequalities	inequality	NOUN
ejpam-6556	62	33	suitable	suitable	ADJ
ejpam-6556	62	34	for	for	ADP
ejpam-6556	62	35	a	a	DET
ejpam-6556	62	36	range	range	NOUN
ejpam-6556	62	37	of	of	ADP
ejpam-6556	62	38	applications	application	NOUN
ejpam-6556	62	39	.	.	PUNCT
ejpam-6556	63	1	finally	finally	ADV
ejpam-6556	63	2	,	,	PUNCT
ejpam-6556	63	3	rahman	rahman	PROPN
ejpam-6556	63	4	et	et	PROPN
ejpam-6556	63	5	al	al	PROPN
ejpam-6556	63	6	.	.	PUNCT
ejpam-6556	64	1	[	[	X
ejpam-6556	64	2	35	35	NUM
ejpam-6556	64	3	]	]	PUNCT
ejpam-6556	64	4	studied	study	VERB
ejpam-6556	64	5	fractional	fractional	ADJ
ejpam-6556	64	6	integral	integral	ADJ
ejpam-6556	64	7	inequalities	inequality	NOUN
ejpam-6556	64	8	for	for	ADP
ejpam-6556	64	9	monotone	monotone	ADJ
ejpam-6556	64	10	weighted	weight	VERB
ejpam-6556	64	11	chebyshev	chebyshev	NOUN
ejpam-6556	64	12	functionals	functional	NOUN
ejpam-6556	64	13	,	,	PUNCT
ejpam-6556	64	14	which	which	PRON
ejpam-6556	64	15	are	be	AUX
ejpam-6556	64	16	crucial	crucial	ADJ
ejpam-6556	64	17	for	for	ADP
ejpam-6556	64	18	fractional	fractional	ADJ
ejpam-6556	64	19	analysis	analysis	NOUN
ejpam-6556	64	20	that	that	PRON
ejpam-6556	64	21	involves	involve	VERB
ejpam-6556	64	22	monotonicity	monotonicity	NOUN
ejpam-6556	64	23	and	and	CCONJ
ejpam-6556	64	24	weighted	weight	VERB
ejpam-6556	64	25	conditions	condition	NOUN
ejpam-6556	64	26	.	.	PUNCT
ejpam-6556	65	1	for	for	ADP
ejpam-6556	65	2	additional	additional	ADJ
ejpam-6556	65	3	results	result	NOUN
ejpam-6556	65	4	on	on	ADP
ejpam-6556	65	5	inequalities	inequality	NOUN
ejpam-6556	65	6	derived	derive	VERB
ejpam-6556	65	7	via	via	ADP
ejpam-6556	65	8	alternative	alternative	ADJ
ejpam-6556	65	9	fractional	fractional	ADJ
ejpam-6556	65	10	operators	operator	NOUN
ejpam-6556	65	11	,	,	PUNCT
ejpam-6556	65	12	the	the	DET
ejpam-6556	65	13	reader	reader	NOUN
ejpam-6556	65	14	is	be	AUX
ejpam-6556	65	15	referred	refer	VERB
ejpam-6556	65	16	to	to	ADP
ejpam-6556	65	17	the	the	DET
ejpam-6556	65	18	following	follow	VERB
ejpam-6556	65	19	literature	literature	NOUN
ejpam-6556	65	20	[	[	X
ejpam-6556	65	21	36–40	36–40	NUM
ejpam-6556	65	22	]	]	PUNCT
ejpam-6556	65	23	.	.	PUNCT
ejpam-6556	66	1	the	the	DET
ejpam-6556	66	2	primary	primary	ADJ
ejpam-6556	66	3	contribution	contribution	NOUN
ejpam-6556	66	4	of	of	ADP
ejpam-6556	66	5	this	this	DET
ejpam-6556	66	6	study	study	NOUN
ejpam-6556	66	7	lies	lie	VERB
ejpam-6556	66	8	in	in	ADP
ejpam-6556	66	9	the	the	DET
ejpam-6556	66	10	introduction	introduction	NOUN
ejpam-6556	66	11	of	of	ADP
ejpam-6556	66	12	a	a	DET
ejpam-6556	66	13	novel	novel	ADJ
ejpam-6556	66	14	class	class	NOUN
ejpam-6556	66	15	of	of	ADP
ejpam-6556	66	16	generalized	generalized	ADJ
ejpam-6556	66	17	convex	convex	NOUN
ejpam-6556	66	18	mappings	mapping	NOUN
ejpam-6556	66	19	,	,	PUNCT
ejpam-6556	66	20	developed	develop	VERB
ejpam-6556	66	21	primarily	primarily	ADV
ejpam-6556	66	22	based	base	VERB
ejpam-6556	66	23	on	on	ADP
ejpam-6556	66	24	condition	condition	NOUN
ejpam-6556	66	25	a	a	PRON
ejpam-6556	66	26	,	,	PUNCT
ejpam-6556	66	27	which	which	PRON
ejpam-6556	66	28	is	be	AUX
ejpam-6556	66	29	formally	formally	ADV
ejpam-6556	66	30	defined	define	VERB
ejpam-6556	66	31	below	below	ADP
ejpam-6556	66	32	.	.	PUNCT
ejpam-6556	67	1	this	this	DET
ejpam-6556	67	2	newly	newly	ADV
ejpam-6556	67	3	established	establish	VERB
ejpam-6556	67	4	class	class	NOUN
ejpam-6556	67	5	incorporates	incorporate	VERB
ejpam-6556	67	6	the	the	DET
ejpam-6556	67	7	raina	raina	PROPN
ejpam-6556	67	8	function	function	NOUN
ejpam-6556	67	9	in	in	ADP
ejpam-6556	67	10	a	a	DET
ejpam-6556	67	11	manner	manner	NOUN
ejpam-6556	67	12	that	that	SCONJ
ejpam-6556	67	13	,	,	PUNCT
ejpam-6556	67	14	to	to	ADP
ejpam-6556	67	15	the	the	DET
ejpam-6556	67	16	best	good	ADJ
ejpam-6556	67	17	of	of	ADP
ejpam-6556	67	18	our	our	PRON
ejpam-6556	67	19	knowledge	knowledge	NOUN
ejpam-6556	67	20	,	,	PUNCT
ejpam-6556	67	21	has	have	AUX
ejpam-6556	67	22	not	not	PART
ejpam-6556	67	23	previously	previously	ADV
ejpam-6556	67	24	been	be	AUX
ejpam-6556	67	25	explored	explore	VERB
ejpam-6556	67	26	in	in	ADP
ejpam-6556	67	27	the	the	DET
ejpam-6556	67	28	context	context	NOUN
ejpam-6556	67	29	of	of	ADP
ejpam-6556	67	30	the	the	DET
ejpam-6556	67	31	related	related	ADJ
ejpam-6556	67	32	inequalities	inequality	NOUN
ejpam-6556	67	33	.	.	PUNCT
ejpam-6556	68	1	moreover	moreover	ADV
ejpam-6556	68	2	,	,	PUNCT
ejpam-6556	68	3	while	while	SCONJ
ejpam-6556	68	4	prior	prior	ADJ
ejpam-6556	68	5	work	work	NOUN
ejpam-6556	68	6	on	on	ADP
ejpam-6556	68	7	inequalities	inequality	NOUN
ejpam-6556	68	8	associated	associate	VERB
ejpam-6556	68	9	with	with	ADP
ejpam-6556	68	10	generalized	generalized	ADJ
ejpam-6556	68	11	convexity	convexity	NOUN
ejpam-6556	68	12	has	have	AUX
ejpam-6556	68	13	predominantly	predominantly	ADV
ejpam-6556	68	14	utilized	utilize	VERB
ejpam-6556	68	15	classical	classical	ADJ
ejpam-6556	68	16	integrals	integral	NOUN
ejpam-6556	68	17	,	,	PUNCT
ejpam-6556	68	18	riemann	riemann	PROPN
ejpam-6556	68	19	–	–	PUNCT
ejpam-6556	68	20	liouville	liouville	VERB
ejpam-6556	68	21	fractional	fractional	ADJ
ejpam-6556	68	22	integrals	integral	NOUN
ejpam-6556	68	23	,	,	PUNCT
ejpam-6556	68	24	and	and	CCONJ
ejpam-6556	68	25	caputo	caputo	PROPN
ejpam-6556	68	26	–	–	PUNCT
ejpam-6556	68	27	fabrizio	fabrizio	PROPN
ejpam-6556	68	28	operators	operator	NOUN
ejpam-6556	68	29	,	,	PUNCT
ejpam-6556	68	30	our	our	PRON
ejpam-6556	68	31	approach	approach	NOUN
ejpam-6556	68	32	leverages	leverage	VERB
ejpam-6556	68	33	the	the	DET
ejpam-6556	68	34	atangana	atangana	PROPN
ejpam-6556	68	35	–	–	PUNCT
ejpam-6556	68	36	baleanu	baleanu	ADJ
ejpam-6556	68	37	fractional	fractional	ADJ
ejpam-6556	68	38	operators	operator	NOUN
ejpam-6556	68	39	to	to	PART
ejpam-6556	68	40	generalize	generalize	VERB
ejpam-6556	68	41	these	these	DET
ejpam-6556	68	42	inequalities	inequality	NOUN
ejpam-6556	68	43	within	within	ADP
ejpam-6556	68	44	the	the	DET
ejpam-6556	68	45	framework	framework	NOUN
ejpam-6556	68	46	of	of	ADP
ejpam-6556	68	47	the	the	DET
ejpam-6556	68	48	newly	newly	ADV
ejpam-6556	68	49	introduced	introduce	VERB
ejpam-6556	68	50	convexity	convexity	NOUN
ejpam-6556	68	51	concept	concept	NOUN
ejpam-6556	68	52	.	.	PUNCT
ejpam-6556	69	1	to	to	PART
ejpam-6556	69	2	substantiate	substantiate	VERB
ejpam-6556	69	3	and	and	CCONJ
ejpam-6556	69	4	validate	validate	VERB
ejpam-6556	69	5	our	our	PRON
ejpam-6556	69	6	findings	finding	NOUN
ejpam-6556	69	7	,	,	PUNCT
ejpam-6556	69	8	we	we	PRON
ejpam-6556	69	9	also	also	ADV
ejpam-6556	69	10	present	present	VERB
ejpam-6556	69	11	several	several	ADJ
ejpam-6556	69	12	remarks	remark	NOUN
ejpam-6556	69	13	and	and	CCONJ
ejpam-6556	69	14	special	special	ADJ
ejpam-6556	69	15	cases	case	NOUN
ejpam-6556	69	16	demonstrating	demonstrate	VERB
ejpam-6556	69	17	that	that	SCONJ
ejpam-6556	69	18	many	many	ADJ
ejpam-6556	69	19	known	know	VERB
ejpam-6556	69	20	results	result	NOUN
ejpam-6556	69	21	from	from	ADP
ejpam-6556	69	22	the	the	DET
ejpam-6556	69	23	literature	literature	NOUN
ejpam-6556	69	24	can	can	AUX
ejpam-6556	69	25	be	be	AUX
ejpam-6556	69	26	recovered	recover	VERB
ejpam-6556	69	27	as	as	ADP
ejpam-6556	69	28	particular	particular	ADJ
ejpam-6556	69	29	instances	instance	NOUN
ejpam-6556	69	30	of	of	ADP
ejpam-6556	69	31	our	our	PRON
ejpam-6556	69	32	general	general	ADJ
ejpam-6556	69	33	framework	framework	NOUN
ejpam-6556	69	34	.	.	PUNCT
ejpam-6556	70	1	this	this	DET
ejpam-6556	70	2	comparative	comparative	ADJ
ejpam-6556	70	3	analysis	analysis	NOUN
ejpam-6556	70	4	underscores	underscore	VERB
ejpam-6556	70	5	the	the	DET
ejpam-6556	70	6	broader	broad	ADJ
ejpam-6556	70	7	applicability	applicability	NOUN
ejpam-6556	70	8	and	and	CCONJ
ejpam-6556	70	9	enhanced	enhance	VERB
ejpam-6556	70	10	generality	generality	NOUN
ejpam-6556	70	11	of	of	ADP
ejpam-6556	70	12	the	the	DET
ejpam-6556	70	13	results	result	NOUN
ejpam-6556	70	14	developed	develop	VERB
ejpam-6556	70	15	in	in	ADP
ejpam-6556	70	16	this	this	DET
ejpam-6556	70	17	work	work	NOUN
ejpam-6556	70	18	.	.	PUNCT
ejpam-6556	71	1	the	the	DET
ejpam-6556	71	2	organization	organization	NOUN
ejpam-6556	71	3	of	of	ADP
ejpam-6556	71	4	this	this	DET
ejpam-6556	71	5	paper	paper	NOUN
ejpam-6556	71	6	is	be	AUX
ejpam-6556	71	7	as	as	SCONJ
ejpam-6556	71	8	follows	follow	VERB
ejpam-6556	71	9	.	.	PUNCT
ejpam-6556	72	1	in	in	ADP
ejpam-6556	72	2	section	section	NOUN
ejpam-6556	72	3	2	2	NUM
ejpam-6556	72	4	,	,	PUNCT
ejpam-6556	72	5	we	we	PRON
ejpam-6556	72	6	revisit	revisit	VERB
ejpam-6556	72	7	several	several	ADJ
ejpam-6556	72	8	fundamental	fundamental	ADJ
ejpam-6556	72	9	m.	m.	NOUN
ejpam-6556	72	10	tariq	tariq	PROPN
ejpam-6556	72	11	et	et	PROPN
ejpam-6556	72	12	al	al	PROPN
ejpam-6556	72	13	.	.	PUNCT
ejpam-6556	72	14	/	/	SYM
ejpam-6556	72	15	eur	eur	PROPN
ejpam-6556	72	16	.	.	PUNCT
ejpam-6556	73	1	j.	j.	PROPN
ejpam-6556	73	2	pure	pure	PROPN
ejpam-6556	73	3	appl	appl	PROPN
ejpam-6556	73	4	.	.	PROPN
ejpam-6556	73	5	math	math	PROPN
ejpam-6556	73	6	,	,	PUNCT
ejpam-6556	73	7	18	18	NUM
ejpam-6556	73	8	(	(	PUNCT
ejpam-6556	73	9	3	3	NUM
ejpam-6556	73	10	)	)	PUNCT
ejpam-6556	73	11	(	(	PUNCT
ejpam-6556	73	12	2025	2025	NUM
ejpam-6556	73	13	)	)	PUNCT
ejpam-6556	73	14	,	,	PUNCT
ejpam-6556	73	15	6556	6556	NUM
ejpam-6556	73	16	4	4	NUM
ejpam-6556	73	17	of	of	ADP
ejpam-6556	73	18	28	28	NUM
ejpam-6556	73	19	concepts	concept	NOUN
ejpam-6556	73	20	and	and	CCONJ
ejpam-6556	73	21	definitions	definition	NOUN
ejpam-6556	73	22	that	that	PRON
ejpam-6556	73	23	form	form	VERB
ejpam-6556	73	24	the	the	DET
ejpam-6556	73	25	foundation	foundation	NOUN
ejpam-6556	73	26	for	for	ADP
ejpam-6556	73	27	our	our	PRON
ejpam-6556	73	28	subsequent	subsequent	ADJ
ejpam-6556	73	29	analysis	analysis	NOUN
ejpam-6556	73	30	.	.	PUNCT
ejpam-6556	74	1	section	section	NOUN
ejpam-6556	74	2	3.1	3.1	NUM
ejpam-6556	74	3	introduces	introduce	NOUN
ejpam-6556	74	4	the	the	DET
ejpam-6556	74	5	notion	notion	NOUN
ejpam-6556	74	6	of	of	ADP
ejpam-6556	74	7	generalized	generalized	ADJ
ejpam-6556	74	8	convex	convex	NOUN
ejpam-6556	74	9	functions	function	NOUN
ejpam-6556	74	10	(	(	PUNCT
ejpam-6556	74	11	gcf	gcf	PROPN
ejpam-6556	74	12	)	)	PUNCT
ejpam-6556	74	13	and	and	CCONJ
ejpam-6556	74	14	explores	explore	VERB
ejpam-6556	74	15	their	their	PRON
ejpam-6556	74	16	key	key	ADJ
ejpam-6556	74	17	algebraic	algebraic	ADJ
ejpam-6556	74	18	properties	property	NOUN
ejpam-6556	74	19	.	.	PUNCT
ejpam-6556	75	1	in	in	ADP
ejpam-6556	75	2	section	section	NOUN
ejpam-6556	75	3	4	4	NUM
ejpam-6556	75	4	,	,	PUNCT
ejpam-6556	75	5	we	we	PRON
ejpam-6556	75	6	present	present	VERB
ejpam-6556	75	7	a	a	DET
ejpam-6556	75	8	novel	novel	ADJ
ejpam-6556	75	9	hermite	hermite	ADJ
ejpam-6556	75	10	–	–	PUNCT
ejpam-6556	75	11	hadamard	hadamard	ADJ
ejpam-6556	75	12	-	-	PUNCT
ejpam-6556	75	13	type	type	NOUN
ejpam-6556	75	14	inequality	inequality	NOUN
ejpam-6556	75	15	based	base	VERB
ejpam-6556	75	16	on	on	ADP
ejpam-6556	75	17	the	the	DET
ejpam-6556	75	18	atangana	atangana	PROPN
ejpam-6556	75	19	–	–	PUNCT
ejpam-6556	75	20	baleanu	baleanu	ADJ
ejpam-6556	75	21	fractional	fractional	ADJ
ejpam-6556	75	22	integral	integral	ADJ
ejpam-6556	75	23	operator	operator	NOUN
ejpam-6556	75	24	(	(	PUNCT
ejpam-6556	75	25	abfio	abfio	PROPN
ejpam-6556	75	26	)	)	PUNCT
ejpam-6556	75	27	,	,	PUNCT
ejpam-6556	75	28	accompanied	accompany	VERB
ejpam-6556	75	29	by	by	ADP
ejpam-6556	75	30	several	several	ADJ
ejpam-6556	75	31	interesting	interesting	ADJ
ejpam-6556	75	32	corollaries	corollary	NOUN
ejpam-6556	75	33	and	and	CCONJ
ejpam-6556	75	34	remarks	remark	NOUN
ejpam-6556	75	35	.	.	PUNCT
ejpam-6556	76	1	section	section	NOUN
ejpam-6556	76	2	5	5	NUM
ejpam-6556	76	3	is	be	AUX
ejpam-6556	76	4	devoted	devote	VERB
ejpam-6556	76	5	to	to	ADP
ejpam-6556	76	6	deriving	derive	VERB
ejpam-6556	76	7	a	a	DET
ejpam-6556	76	8	new	new	ADJ
ejpam-6556	76	9	integral	integral	ADJ
ejpam-6556	76	10	identity	identity	NOUN
ejpam-6556	76	11	,	,	PUNCT
ejpam-6556	76	12	which	which	PRON
ejpam-6556	76	13	serves	serve	VERB
ejpam-6556	76	14	as	as	ADP
ejpam-6556	76	15	the	the	DET
ejpam-6556	76	16	basis	basis	NOUN
ejpam-6556	76	17	for	for	ADP
ejpam-6556	76	18	refined	refined	ADJ
ejpam-6556	76	19	versions	version	NOUN
ejpam-6556	76	20	of	of	ADP
ejpam-6556	76	21	the	the	DET
ejpam-6556	76	22	hermite	hermite	ADJ
ejpam-6556	76	23	–	–	PUNCT
ejpam-6556	76	24	hadamard	hadamard	ADJ
ejpam-6556	76	25	inequality	inequality	NOUN
ejpam-6556	76	26	.	.	PUNCT
ejpam-6556	77	1	in	in	ADP
ejpam-6556	77	2	section	section	NOUN
ejpam-6556	77	3	6	6	NUM
ejpam-6556	77	4	,	,	PUNCT
ejpam-6556	77	5	we	we	PRON
ejpam-6556	77	6	investigate	investigate	VERB
ejpam-6556	77	7	a	a	DET
ejpam-6556	77	8	new	new	ADJ
ejpam-6556	77	9	class	class	NOUN
ejpam-6556	77	10	of	of	ADP
ejpam-6556	77	11	pachpatte	pachpatte	NOUN
ejpam-6556	77	12	-	-	PUNCT
ejpam-6556	77	13	type	type	NOUN
ejpam-6556	77	14	inequalities	inequality	NOUN
ejpam-6556	77	15	via	via	ADP
ejpam-6556	77	16	abfio	abfio	PROPN
ejpam-6556	77	17	,	,	PUNCT
ejpam-6556	77	18	along	along	ADP
ejpam-6556	77	19	with	with	ADP
ejpam-6556	77	20	related	related	ADJ
ejpam-6556	77	21	corollaries	corollary	NOUN
ejpam-6556	77	22	and	and	CCONJ
ejpam-6556	77	23	remarks	remark	NOUN
ejpam-6556	77	24	.	.	PUNCT
ejpam-6556	78	1	finally	finally	ADV
ejpam-6556	78	2	,	,	PUNCT
ejpam-6556	78	3	section	section	NOUN
ejpam-6556	78	4	8	8	NUM
ejpam-6556	78	5	summarizes	summarize	NOUN
ejpam-6556	78	6	the	the	DET
ejpam-6556	78	7	main	main	ADJ
ejpam-6556	78	8	findings	finding	NOUN
ejpam-6556	78	9	and	and	CCONJ
ejpam-6556	78	10	suggests	suggest	VERB
ejpam-6556	78	11	potential	potential	ADJ
ejpam-6556	78	12	directions	direction	NOUN
ejpam-6556	78	13	for	for	ADP
ejpam-6556	78	14	future	future	ADJ
ejpam-6556	78	15	research	research	NOUN
ejpam-6556	78	16	.	.	PUNCT
ejpam-6556	79	1	2	2	X
ejpam-6556	79	2	.	.	X
ejpam-6556	79	3	preliminaries	preliminary	NOUN
ejpam-6556	79	4	this	this	DET
ejpam-6556	79	5	section	section	NOUN
ejpam-6556	79	6	reviews	review	VERB
ejpam-6556	79	7	key	key	ADJ
ejpam-6556	79	8	definitions	definition	NOUN
ejpam-6556	79	9	and	and	CCONJ
ejpam-6556	79	10	concepts	concept	NOUN
ejpam-6556	79	11	essential	essential	ADJ
ejpam-6556	79	12	for	for	ADP
ejpam-6556	79	13	our	our	PRON
ejpam-6556	79	14	subsequent	subsequent	ADJ
ejpam-6556	79	15	analysis	analysis	NOUN
ejpam-6556	79	16	,	,	PUNCT
ejpam-6556	79	17	including	include	VERB
ejpam-6556	79	18	convexity	convexity	NOUN
ejpam-6556	79	19	,	,	PUNCT
ejpam-6556	79	20	the	the	DET
ejpam-6556	79	21	hermite	hermite	ADJ
ejpam-6556	79	22	–	–	PUNCT
ejpam-6556	79	23	hadamard	hadamard	ADJ
ejpam-6556	79	24	inequality	inequality	NOUN
ejpam-6556	79	25	,	,	PUNCT
ejpam-6556	79	26	mittag	mittag	ADJ
ejpam-6556	79	27	–	–	PUNCT
ejpam-6556	79	28	leffler	leffler	NOUN
ejpam-6556	79	29	functions	function	NOUN
ejpam-6556	79	30	,	,	PUNCT
ejpam-6556	79	31	generalized	generalize	VERB
ejpam-6556	79	32	convex	convex	NOUN
ejpam-6556	79	33	sets	set	NOUN
ejpam-6556	79	34	,	,	PUNCT
ejpam-6556	79	35	and	and	CCONJ
ejpam-6556	79	36	generalized	generalized	ADJ
ejpam-6556	79	37	convex	convex	NOUN
ejpam-6556	79	38	functions	function	NOUN
ejpam-6556	79	39	.	.	PUNCT
ejpam-6556	80	1	additionally	additionally	ADV
ejpam-6556	80	2	,	,	PUNCT
ejpam-6556	80	3	we	we	PRON
ejpam-6556	80	4	discuss	discuss	VERB
ejpam-6556	80	5	condition	condition	NOUN
ejpam-6556	80	6	c	c	NOUN
ejpam-6556	80	7	,	,	PUNCT
ejpam-6556	80	8	hölder	hölder	PROPN
ejpam-6556	80	9	’s	’s	PART
ejpam-6556	80	10	inequality	inequality	NOUN
ejpam-6556	80	11	,	,	PUNCT
ejpam-6556	80	12	and	and	CCONJ
ejpam-6556	80	13	the	the	DET
ejpam-6556	80	14	power	power	NOUN
ejpam-6556	80	15	mean	mean	VERB
ejpam-6556	80	16	inequality	inequality	NOUN
ejpam-6556	80	17	.	.	PUNCT
ejpam-6556	81	1	the	the	DET
ejpam-6556	81	2	section	section	NOUN
ejpam-6556	81	3	concludes	conclude	VERB
ejpam-6556	81	4	with	with	ADP
ejpam-6556	81	5	a	a	DET
ejpam-6556	81	6	brief	brief	ADJ
ejpam-6556	81	7	overview	overview	NOUN
ejpam-6556	81	8	of	of	ADP
ejpam-6556	81	9	the	the	DET
ejpam-6556	81	10	caputo	caputo	PROPN
ejpam-6556	81	11	–	–	PUNCT
ejpam-6556	81	12	fabrizio	fabrizio	PROPN
ejpam-6556	81	13	derivative	derivative	NOUN
ejpam-6556	81	14	and	and	CCONJ
ejpam-6556	81	15	the	the	DET
ejpam-6556	81	16	atangana	atangana	PROPN
ejpam-6556	81	17	–	–	PUNCT
ejpam-6556	81	18	baleanu	baleanu	ADJ
ejpam-6556	81	19	fractional	fractional	ADJ
ejpam-6556	81	20	integral	integral	ADJ
ejpam-6556	81	21	operator	operator	NOUN
ejpam-6556	81	22	(	(	PUNCT
ejpam-6556	81	23	abfio	abfio	PROPN
ejpam-6556	81	24	)	)	PUNCT
ejpam-6556	81	25	,	,	PUNCT
ejpam-6556	81	26	which	which	PRON
ejpam-6556	81	27	are	be	AUX
ejpam-6556	81	28	fundamental	fundamental	ADJ
ejpam-6556	81	29	to	to	ADP
ejpam-6556	81	30	our	our	PRON
ejpam-6556	81	31	study	study	NOUN
ejpam-6556	81	32	.	.	PUNCT
ejpam-6556	82	1	definition	definition	NOUN
ejpam-6556	82	2	1	1	NUM
ejpam-6556	82	3	(	(	PUNCT
ejpam-6556	82	4	[	[	X
ejpam-6556	82	5	2	2	NUM
ejpam-6556	82	6	]	]	NUM
ejpam-6556	82	7	)	)	PUNCT
ejpam-6556	82	8	.	.	PUNCT
ejpam-6556	83	1	a	a	DET
ejpam-6556	83	2	real	real	ADV
ejpam-6556	83	3	-	-	PUNCT
ejpam-6556	83	4	valued	value	VERB
ejpam-6556	83	5	function	function	NOUN
ejpam-6556	83	6	λ	λ	PROPN
ejpam-6556	83	7	is	be	AUX
ejpam-6556	83	8	said	say	VERB
ejpam-6556	83	9	to	to	PART
ejpam-6556	83	10	be	be	AUX
ejpam-6556	83	11	convex	convex	ADJ
ejpam-6556	83	12	,	,	PUNCT
ejpam-6556	83	13	if	if	SCONJ
ejpam-6556	83	14	λ	λ	X
ejpam-6556	83	15	(	(	PUNCT
ejpam-6556	83	16	xla	xla	PROPN
ejpam-6556	83	17	+	+	CCONJ
ejpam-6556	83	18	(	(	PUNCT
ejpam-6556	83	19	1−	1−	NUM
ejpam-6556	83	20	x	x	NOUN
ejpam-6556	83	21	)	)	PUNCT
ejpam-6556	83	22	lb	lb	NUM
ejpam-6556	83	23	)	)	PUNCT
ejpam-6556	83	24	≤	≤	NUM
ejpam-6556	83	25	xλ	xλ	PROPN
ejpam-6556	83	26	(	(	PUNCT
ejpam-6556	83	27	la	la	PROPN
ejpam-6556	83	28	)	)	PUNCT
ejpam-6556	84	1	+	+	CCONJ
ejpam-6556	84	2	(	(	PUNCT
ejpam-6556	84	3	1−	1−	NUM
ejpam-6556	84	4	x	x	NOUN
ejpam-6556	84	5	)	)	PUNCT
ejpam-6556	84	6	λ	λ	PROPN
ejpam-6556	84	7	(	(	PUNCT
ejpam-6556	84	8	lb	lb	NOUN
ejpam-6556	84	9	)	)	PUNCT
ejpam-6556	84	10	,	,	PUNCT
ejpam-6556	84	11	(	(	PUNCT
ejpam-6556	84	12	2.1	2.1	NUM
ejpam-6556	84	13	)	)	PUNCT
ejpam-6556	84	14	holds	hold	VERB
ejpam-6556	84	15	for	for	ADP
ejpam-6556	84	16	all	all	DET
ejpam-6556	84	17	la	la	ADJ
ejpam-6556	84	18	,	,	PUNCT
ejpam-6556	85	1	lb	lb	PRON
ejpam-6556	85	2	∈	∈	NOUN
ejpam-6556	85	3	i	i	PRON
ejpam-6556	85	4	and	and	CCONJ
ejpam-6556	85	5	x	x	PUNCT
ejpam-6556	85	6	∈	∈	PROPN
ejpam-6556	86	1	[	[	X
ejpam-6556	86	2	0	0	NUM
ejpam-6556	86	3	,	,	PUNCT
ejpam-6556	86	4	1	1	NUM
ejpam-6556	86	5	]	]	PUNCT
ejpam-6556	86	6	.	.	PUNCT
ejpam-6556	87	1	the	the	DET
ejpam-6556	87	2	most	most	ADV
ejpam-6556	87	3	famous	famous	ADJ
ejpam-6556	87	4	inequality	inequality	NOUN
ejpam-6556	87	5	involving	involve	VERB
ejpam-6556	87	6	convex	convex	NOUN
ejpam-6556	87	7	functions	function	NOUN
ejpam-6556	87	8	is	be	AUX
ejpam-6556	87	9	the	the	DET
ejpam-6556	87	10	hermite	hermite	PROPN
ejpam-6556	87	11	-	-	PUNCT
ejpam-6556	87	12	hadamard	hadamard	ADJ
ejpam-6556	87	13	inequality	inequality	NOUN
ejpam-6556	88	1	[	[	X
ejpam-6556	88	2	41–43	41–43	NUM
ejpam-6556	88	3	]	]	PUNCT
ejpam-6556	88	4	stated	state	VERB
ejpam-6556	88	5	as	as	ADP
ejpam-6556	88	6	:	:	PUNCT
ejpam-6556	88	7	theorem	theorem	NOUN
ejpam-6556	88	8	1	1	NUM
ejpam-6556	88	9	.	.	PUNCT
ejpam-6556	89	1	if	if	SCONJ
ejpam-6556	89	2	λ	λ	X
ejpam-6556	89	3	:	:	PUNCT
ejpam-6556	90	1	[	[	X
ejpam-6556	90	2	la	la	X
ejpam-6556	90	3	,	,	PUNCT
ejpam-6556	90	4	lb	lb	NOUN
ejpam-6556	90	5	]	]	X
ejpam-6556	90	6	→	→	PUNCT
ejpam-6556	90	7	r	r	NOUN
ejpam-6556	90	8	is	be	AUX
ejpam-6556	90	9	a	a	DET
ejpam-6556	90	10	convex	convex	NOUN
ejpam-6556	90	11	function	function	NOUN
ejpam-6556	90	12	,	,	PUNCT
ejpam-6556	90	13	then	then	ADV
ejpam-6556	90	14	λ	λ	X
ejpam-6556	90	15	(	(	PUNCT
ejpam-6556	90	16	la	la	PROPN
ejpam-6556	90	17	+	+	NOUN
ejpam-6556	90	18	lb	lb	NUM
ejpam-6556	90	19	2	2	NUM
ejpam-6556	90	20	)	)	PUNCT
ejpam-6556	90	21	≤	≤	NOUN
ejpam-6556	90	22	1	1	NUM
ejpam-6556	90	23	lb	lb	NUM
ejpam-6556	90	24	−	−	PROPN
ejpam-6556	90	25	la	la	INTJ
ejpam-6556	90	26	∫	∫	PROPN
ejpam-6556	90	27	lb	lb	PROPN
ejpam-6556	90	28	la	la	PROPN
ejpam-6556	90	29	λ(x)dx	λ(x)dx	PART
ejpam-6556	90	30	≤	≤	NUM
ejpam-6556	90	31	λ(la	λ(la	NUM
ejpam-6556	90	32	)	)	PUNCT
ejpam-6556	91	1	+	+	NUM
ejpam-6556	91	2	λ(lb	λ(lb	NOUN
ejpam-6556	91	3	)	)	PUNCT
ejpam-6556	91	4	2	2	NUM
ejpam-6556	91	5	.	.	PUNCT
ejpam-6556	92	1	(	(	PUNCT
ejpam-6556	92	2	2.2	2.2	NUM
ejpam-6556	92	3	)	)	PUNCT
ejpam-6556	92	4	the	the	DET
ejpam-6556	92	5	inequality	inequality	NOUN
ejpam-6556	92	6	has	have	AUX
ejpam-6556	92	7	been	be	AUX
ejpam-6556	92	8	used	use	VERB
ejpam-6556	92	9	to	to	PART
ejpam-6556	92	10	establish	establish	VERB
ejpam-6556	92	11	limits	limit	NOUN
ejpam-6556	92	12	and	and	CCONJ
ejpam-6556	92	13	estimates	estimate	NOUN
ejpam-6556	92	14	in	in	ADP
ejpam-6556	92	15	information	information	NOUN
ejpam-6556	92	16	theory	theory	NOUN
ejpam-6556	92	17	,	,	PUNCT
ejpam-6556	92	18	particularly	particularly	ADV
ejpam-6556	92	19	in	in	ADP
ejpam-6556	92	20	connection	connection	NOUN
ejpam-6556	92	21	with	with	ADP
ejpam-6556	92	22	quantum	quantum	NOUN
ejpam-6556	92	23	calculus	calculus	NOUN
ejpam-6556	92	24	and	and	CCONJ
ejpam-6556	92	25	quantum	quantum	ADJ
ejpam-6556	92	26	integral	integral	ADJ
ejpam-6556	92	27	inequalities	inequality	NOUN
ejpam-6556	92	28	.	.	PUNCT
ejpam-6556	93	1	geometric	geometric	ADJ
ejpam-6556	93	2	settings	setting	NOUN
ejpam-6556	93	3	of	of	ADP
ejpam-6556	93	4	this	this	DET
ejpam-6556	93	5	inequality	inequality	NOUN
ejpam-6556	93	6	help	help	VERB
ejpam-6556	93	7	to	to	PART
ejpam-6556	93	8	establish	establish	VERB
ejpam-6556	93	9	relationships	relationship	NOUN
ejpam-6556	93	10	between	between	ADP
ejpam-6556	93	11	the	the	DET
ejpam-6556	93	12	average	average	NOUN
ejpam-6556	93	13	over	over	ADP
ejpam-6556	93	14	an	an	DET
ejpam-6556	93	15	interval	interval	NOUN
ejpam-6556	93	16	and	and	CCONJ
ejpam-6556	93	17	the	the	DET
ejpam-6556	93	18	value	value	NOUN
ejpam-6556	93	19	of	of	ADP
ejpam-6556	93	20	a	a	DET
ejpam-6556	93	21	function	function	NOUN
ejpam-6556	93	22	at	at	ADP
ejpam-6556	93	23	its	its	PRON
ejpam-6556	93	24	midpoint	midpoint	NOUN
ejpam-6556	93	25	.	.	PUNCT
ejpam-6556	94	1	hermite	hermite	PROPN
ejpam-6556	94	2	-	-	PUNCT
ejpam-6556	94	3	hadamard	hadamard	ADJ
ejpam-6556	94	4	inequality	inequality	NOUN
ejpam-6556	94	5	is	be	AUX
ejpam-6556	94	6	a	a	DET
ejpam-6556	94	7	useful	useful	ADJ
ejpam-6556	94	8	tool	tool	NOUN
ejpam-6556	94	9	for	for	ADP
ejpam-6556	94	10	studying	study	VERB
ejpam-6556	94	11	a	a	DET
ejpam-6556	94	12	range	range	NOUN
ejpam-6556	94	13	of	of	ADP
ejpam-6556	94	14	economic	economic	ADJ
ejpam-6556	94	15	phenomena	phenomenon	NOUN
ejpam-6556	94	16	involving	involve	VERB
ejpam-6556	94	17	convex	convex	NOUN
ejpam-6556	94	18	functions	function	NOUN
ejpam-6556	94	19	,	,	PUNCT
ejpam-6556	94	20	including	include	VERB
ejpam-6556	94	21	asset	asset	NOUN
ejpam-6556	94	22	pricing	pricing	NOUN
ejpam-6556	94	23	and	and	CCONJ
ejpam-6556	94	24	optimization	optimization	NOUN
ejpam-6556	94	25	,	,	PUNCT
ejpam-6556	94	26	income	income	NOUN
ejpam-6556	94	27	distribution	distribution	NOUN
ejpam-6556	94	28	,	,	PUNCT
ejpam-6556	94	29	and	and	CCONJ
ejpam-6556	94	30	production	production	NOUN
ejpam-6556	94	31	.	.	PUNCT
ejpam-6556	95	1	raina	raina	PROPN
ejpam-6556	96	1	[	[	X
ejpam-6556	96	2	44	44	NUM
ejpam-6556	96	3	]	]	PUNCT
ejpam-6556	96	4	introduced	introduce	VERB
ejpam-6556	96	5	a	a	DET
ejpam-6556	96	6	generalized	generalized	ADJ
ejpam-6556	96	7	class	class	NOUN
ejpam-6556	96	8	of	of	ADP
ejpam-6556	96	9	functions	function	NOUN
ejpam-6556	96	10	defined	define	VERB
ejpam-6556	96	11	as	as	ADP
ejpam-6556	96	12	dκ	dκ	ADP
ejpam-6556	96	13	µ,δ(z	µ,δ(z	NOUN
ejpam-6556	96	14	)	)	PUNCT
ejpam-6556	96	15	=	=	SYM
ejpam-6556	97	1	d	d	X
ejpam-6556	97	2	κ(0	κ(0	PROPN
ejpam-6556	97	3	)	)	PUNCT
ejpam-6556	97	4	,	,	PUNCT
ejpam-6556	97	5	κ(1	κ(1	PROPN
ejpam-6556	97	6	)	)	PUNCT
ejpam-6556	97	7	,	,	PUNCT
ejpam-6556	97	8	...	...	PUNCT
ejpam-6556	98	1	µ,δ	µ,δ	INTJ
ejpam-6556	98	2	(	(	PUNCT
ejpam-6556	98	3	z	z	NOUN
ejpam-6556	98	4	)	)	PUNCT
ejpam-6556	98	5	=	=	NOUN
ejpam-6556	99	1	∞∑	∞∑	PRON
ejpam-6556	99	2	k=0	k=0	PROPN
ejpam-6556	99	3	κ(k	κ(k	PROPN
ejpam-6556	99	4	)	)	PUNCT
ejpam-6556	99	5	γ(µk	γ(µk	PROPN
ejpam-6556	99	6	+	+	PROPN
ejpam-6556	99	7	δ	δ	PROPN
ejpam-6556	99	8	)	)	PUNCT
ejpam-6556	99	9	zk	zk	PROPN
ejpam-6556	99	10	,	,	PUNCT
ejpam-6556	99	11	(	(	PUNCT
ejpam-6556	99	12	2.3	2.3	NUM
ejpam-6556	99	13	)	)	PUNCT
ejpam-6556	99	14	where	where	SCONJ
ejpam-6556	99	15	κ	κ	NOUN
ejpam-6556	99	16	=	=	SYM
ejpam-6556	99	17	(	(	PUNCT
ejpam-6556	99	18	κ(0	κ(0	PROPN
ejpam-6556	99	19	)	)	PUNCT
ejpam-6556	99	20	,	,	PUNCT
ejpam-6556	99	21	κ(1	κ(1	PROPN
ejpam-6556	99	22	)	)	PUNCT
ejpam-6556	99	23	,	,	PUNCT
ejpam-6556	99	24	.	.	PUNCT
ejpam-6556	99	25	.	.	PUNCT
ejpam-6556	99	26	.	.	PUNCT
ejpam-6556	99	27	,	,	PUNCT
ejpam-6556	99	28	κ(k	κ(k	PROPN
ejpam-6556	99	29	)	)	PUNCT
ejpam-6556	99	30	,	,	PUNCT
ejpam-6556	99	31	.	.	PUNCT
ejpam-6556	99	32	.	.	PUNCT
ejpam-6556	99	33	.	.	PUNCT
ejpam-6556	99	34	)	)	PUNCT
ejpam-6556	99	35	,	,	PUNCT
ejpam-6556	99	36	µ	µ	X
ejpam-6556	99	37	,	,	PUNCT
ejpam-6556	99	38	δ	δ	PROPN
ejpam-6556	99	39	>	>	X
ejpam-6556	99	40	0	0	NUM
ejpam-6556	99	41	,	,	PUNCT
ejpam-6556	99	42	and	and	CCONJ
ejpam-6556	99	43	|z|	|z|	VERB
ejpam-6556	99	44	<	<	X
ejpam-6556	99	45	r.	r.	PROPN
ejpam-6556	99	46	equation	equation	NOUN
ejpam-6556	99	47	(	(	PUNCT
ejpam-6556	99	48	2.3	2.3	NUM
ejpam-6556	99	49	)	)	PUNCT
ejpam-6556	99	50	serves	serve	VERB
ejpam-6556	99	51	as	as	ADP
ejpam-6556	99	52	a	a	DET
ejpam-6556	99	53	generalization	generalization	NOUN
ejpam-6556	99	54	of	of	ADP
ejpam-6556	99	55	the	the	DET
ejpam-6556	99	56	classical	classical	ADJ
ejpam-6556	99	57	mittag	mittag	ADJ
ejpam-6556	99	58	–	–	PUNCT
ejpam-6556	99	59	leffler	leffler	NOUN
ejpam-6556	99	60	function	function	NOUN
ejpam-6556	99	61	.	.	PUNCT
ejpam-6556	100	1	m.	m.	NOUN
ejpam-6556	100	2	tariq	tariq	PROPN
ejpam-6556	100	3	et	et	PROPN
ejpam-6556	100	4	al	al	PROPN
ejpam-6556	100	5	.	.	PUNCT
ejpam-6556	100	6	/	/	SYM
ejpam-6556	100	7	eur	eur	PROPN
ejpam-6556	100	8	.	.	PUNCT
ejpam-6556	101	1	j.	j.	PROPN
ejpam-6556	101	2	pure	pure	PROPN
ejpam-6556	101	3	appl	appl	PROPN
ejpam-6556	101	4	.	.	PROPN
ejpam-6556	101	5	math	math	PROPN
ejpam-6556	101	6	,	,	PUNCT
ejpam-6556	101	7	18	18	NUM
ejpam-6556	101	8	(	(	PUNCT
ejpam-6556	101	9	3	3	NUM
ejpam-6556	101	10	)	)	PUNCT
ejpam-6556	101	11	(	(	PUNCT
ejpam-6556	101	12	2025	2025	NUM
ejpam-6556	101	13	)	)	PUNCT
ejpam-6556	101	14	,	,	PUNCT
ejpam-6556	101	15	6556	6556	NUM
ejpam-6556	101	16	5	5	NUM
ejpam-6556	101	17	of	of	ADP
ejpam-6556	101	18	28	28	NUM
ejpam-6556	101	19	if	if	SCONJ
ejpam-6556	101	20	µ	µ	ADJ
ejpam-6556	101	21	=	=	SYM
ejpam-6556	101	22	1	1	NUM
ejpam-6556	101	23	,	,	PUNCT
ejpam-6556	101	24	δ	δ	PROPN
ejpam-6556	101	25	=	=	SYM
ejpam-6556	101	26	0	0	NUM
ejpam-6556	101	27	,	,	PUNCT
ejpam-6556	101	28	and	and	CCONJ
ejpam-6556	101	29	κ(k	κ(k	PROPN
ejpam-6556	101	30	)	)	PUNCT
ejpam-6556	101	31	=	=	PUNCT
ejpam-6556	101	32	(	(	PUNCT
ejpam-6556	101	33	η)k(θ)k	η)k(θ)k	PROPN
ejpam-6556	101	34	(	(	PUNCT
ejpam-6556	101	35	ξ)k	ξ)k	X
ejpam-6556	101	36	for	for	ADP
ejpam-6556	101	37	k	k	PROPN
ejpam-6556	101	38	=	=	SYM
ejpam-6556	101	39	0	0	NUM
ejpam-6556	101	40	,	,	PUNCT
ejpam-6556	101	41	1	1	NUM
ejpam-6556	101	42	,	,	PUNCT
ejpam-6556	101	43	2	2	NUM
ejpam-6556	101	44	,	,	PUNCT
ejpam-6556	101	45	.	.	PUNCT
ejpam-6556	101	46	.	.	PUNCT
ejpam-6556	102	1	.	.	PUNCT
ejpam-6556	102	2	,	,	PUNCT
ejpam-6556	102	3	where	where	SCONJ
ejpam-6556	102	4	η	η	PROPN
ejpam-6556	102	5	,	,	PUNCT
ejpam-6556	102	6	θ	θ	PROPN
ejpam-6556	102	7	,	,	PUNCT
ejpam-6556	102	8	ξ	ξ	X
ejpam-6556	102	9	are	be	AUX
ejpam-6556	102	10	complex	complex	ADJ
ejpam-6556	102	11	parameters	parameter	NOUN
ejpam-6556	102	12	such	such	ADJ
ejpam-6556	102	13	that	that	SCONJ
ejpam-6556	102	14	ξ	ξ	PROPN
ejpam-6556	102	15	/∈	/∈	PUNCT
ejpam-6556	102	16	{	{	PUNCT
ejpam-6556	102	17	0,−1,−2	0,−1,−2	NUM
ejpam-6556	102	18	,	,	PUNCT
ejpam-6556	102	19	.	.	PUNCT
ejpam-6556	102	20	.	.	PUNCT
ejpam-6556	103	1	.	.	PUNCT
ejpam-6556	103	2	}	}	PUNCT
ejpam-6556	103	3	,	,	PUNCT
ejpam-6556	103	4	and	and	CCONJ
ejpam-6556	103	5	where	where	SCONJ
ejpam-6556	103	6	the	the	DET
ejpam-6556	103	7	pochhammer	pochhammer	NOUN
ejpam-6556	103	8	symbol	symbol	NOUN
ejpam-6556	103	9	is	be	AUX
ejpam-6556	103	10	defined	define	VERB
ejpam-6556	103	11	by	by	ADP
ejpam-6556	103	12	(	(	PUNCT
ejpam-6556	103	13	η)k	η)k	X
ejpam-6556	103	14	=	=	PUNCT
ejpam-6556	104	1	γ(η	γ(η	PROPN
ejpam-6556	104	2	+	+	NUM
ejpam-6556	104	3	k	k	X
ejpam-6556	104	4	)	)	PUNCT
ejpam-6556	104	5	γ(η	γ(η	NOUN
ejpam-6556	104	6	)	)	PUNCT
ejpam-6556	105	1	=	=	SYM
ejpam-6556	105	2	η(η	η(η	NOUN
ejpam-6556	105	3	+	+	NOUN
ejpam-6556	105	4	1	1	NUM
ejpam-6556	105	5	)	)	PUNCT
ejpam-6556	105	6	·	·	PUNCT
ejpam-6556	105	7	·	·	PUNCT
ejpam-6556	105	8	·	·	PUNCT
ejpam-6556	105	9	(	(	PUNCT
ejpam-6556	105	10	η	η	PROPN
ejpam-6556	105	11	+	+	PROPN
ejpam-6556	105	12	k	k	PROPN
ejpam-6556	105	13	−	−	PROPN
ejpam-6556	105	14	1	1	NUM
ejpam-6556	105	15	)	)	PUNCT
ejpam-6556	105	16	,	,	PUNCT
ejpam-6556	105	17	k	k	X
ejpam-6556	105	18	=	=	SYM
ejpam-6556	105	19	0	0	NUM
ejpam-6556	105	20	,	,	PUNCT
ejpam-6556	105	21	1	1	NUM
ejpam-6556	105	22	,	,	PUNCT
ejpam-6556	105	23	2	2	NUM
ejpam-6556	105	24	,	,	PUNCT
ejpam-6556	105	25	.	.	PUNCT
ejpam-6556	105	26	.	.	PUNCT
ejpam-6556	105	27	.	.	PUNCT
ejpam-6556	106	1	,	,	PUNCT
ejpam-6556	106	2	and	and	CCONJ
ejpam-6556	106	3	the	the	DET
ejpam-6556	106	4	domain	domain	NOUN
ejpam-6556	106	5	is	be	AUX
ejpam-6556	106	6	restricted	restrict	VERB
ejpam-6556	106	7	to	to	ADP
ejpam-6556	106	8	|z|	|z|	NOUN
ejpam-6556	106	9	≤	≤	NUM
ejpam-6556	106	10	1	1	NUM
ejpam-6556	106	11	with	with	ADP
ejpam-6556	106	12	z	z	PROPN
ejpam-6556	106	13	∈	∈	PROPN
ejpam-6556	106	14	c	c	NOUN
ejpam-6556	106	15	,	,	PUNCT
ejpam-6556	106	16	then	then	ADV
ejpam-6556	106	17	equation	equation	NOUN
ejpam-6556	106	18	(	(	PUNCT
ejpam-6556	106	19	2.3	2.3	NUM
ejpam-6556	106	20	)	)	PUNCT
ejpam-6556	106	21	reduces	reduce	VERB
ejpam-6556	106	22	to	to	ADP
ejpam-6556	106	23	the	the	DET
ejpam-6556	106	24	classical	classical	ADJ
ejpam-6556	106	25	hypergeometric	hypergeometric	ADJ
ejpam-6556	106	26	function	function	NOUN
ejpam-6556	106	27	:	:	PUNCT
ejpam-6556	107	1	d(η	d(η	NOUN
ejpam-6556	107	2	,	,	PUNCT
ejpam-6556	107	3	θ	θ	PROPN
ejpam-6556	107	4	;	;	PUNCT
ejpam-6556	107	5	ξ	ξ	NUM
ejpam-6556	107	6	;	;	PUNCT
ejpam-6556	107	7	z	z	X
ejpam-6556	107	8	)	)	PUNCT
ejpam-6556	107	9	=	=	PUNCT
ejpam-6556	108	1	∞∑	∞∑	NUM
ejpam-6556	108	2	k=0	k=0	PROPN
ejpam-6556	108	3	(	(	PUNCT
ejpam-6556	108	4	η)k(θ)k	η)k(θ)k	PROPN
ejpam-6556	108	5	k!(ξ)k	k!(ξ)k	PROPN
ejpam-6556	108	6	zk	zk	PROPN
ejpam-6556	108	7	.	.	PUNCT
ejpam-6556	109	1	moreover	moreover	ADV
ejpam-6556	109	2	,	,	PUNCT
ejpam-6556	109	3	if	if	SCONJ
ejpam-6556	109	4	κ	κ	X
ejpam-6556	109	5	=	=	PUNCT
ejpam-6556	109	6	(	(	PUNCT
ejpam-6556	109	7	1	1	NUM
ejpam-6556	109	8	,	,	PUNCT
ejpam-6556	109	9	1	1	NUM
ejpam-6556	109	10	,	,	PUNCT
ejpam-6556	109	11	.	.	PUNCT
ejpam-6556	109	12	.	.	PUNCT
ejpam-6556	109	13	.	.	PUNCT
ejpam-6556	109	14	)	)	PUNCT
ejpam-6556	109	15	,	,	PUNCT
ejpam-6556	109	16	µ	µ	X
ejpam-6556	109	17	=	=	SYM
ejpam-6556	109	18	α	α	PROPN
ejpam-6556	109	19	,	,	PUNCT
ejpam-6556	109	20	δ	δ	X
ejpam-6556	109	21	=	=	SYM
ejpam-6556	109	22	1	1	NUM
ejpam-6556	109	23	,	,	PUNCT
ejpam-6556	109	24	with	with	ADP
ejpam-6556	109	25	ℜ(α	ℜ(α	NOUN
ejpam-6556	109	26	)	)	PUNCT
ejpam-6556	109	27	>	>	X
ejpam-6556	109	28	0	0	NUM
ejpam-6556	109	29	,	,	PUNCT
ejpam-6556	109	30	then	then	ADV
ejpam-6556	109	31	equation	equation	NOUN
ejpam-6556	109	32	(	(	PUNCT
ejpam-6556	109	33	2.3	2.3	NUM
ejpam-6556	109	34	)	)	PUNCT
ejpam-6556	109	35	reduces	reduce	VERB
ejpam-6556	109	36	to	to	ADP
ejpam-6556	109	37	the	the	DET
ejpam-6556	109	38	one	one	NUM
ejpam-6556	109	39	-	-	PUNCT
ejpam-6556	109	40	parameter	parameter	NOUN
ejpam-6556	109	41	mittag	mittag	ADJ
ejpam-6556	109	42	–	–	PUNCT
ejpam-6556	109	43	leffler	leffler	NOUN
ejpam-6556	109	44	function	function	NOUN
ejpam-6556	109	45	:	:	PUNCT
ejpam-6556	109	46	eα(z	eα(z	X
ejpam-6556	109	47	)	)	PUNCT
ejpam-6556	109	48	=	=	NOUN
ejpam-6556	110	1	∞∑	∞∑	NUM
ejpam-6556	110	2	k=0	k=0	PUNCT
ejpam-6556	110	3	zk	zk	PROPN
ejpam-6556	110	4	γ(1	γ(1	PROPN
ejpam-6556	110	5	+	+	CCONJ
ejpam-6556	110	6	αk	αk	NOUN
ejpam-6556	110	7	)	)	PUNCT
ejpam-6556	110	8	.	.	PUNCT
ejpam-6556	111	1	(	(	PUNCT
ejpam-6556	111	2	2.4	2.4	NUM
ejpam-6556	111	3	)	)	PUNCT
ejpam-6556	111	4	equation	equation	NOUN
ejpam-6556	111	5	(	(	PUNCT
ejpam-6556	111	6	2.4	2.4	NUM
ejpam-6556	111	7	)	)	PUNCT
ejpam-6556	111	8	is	be	AUX
ejpam-6556	111	9	referred	refer	VERB
ejpam-6556	111	10	to	to	ADP
ejpam-6556	111	11	as	as	ADP
ejpam-6556	111	12	a	a	DET
ejpam-6556	111	13	classical	classical	ADJ
ejpam-6556	111	14	mittag	mittag	ADJ
ejpam-6556	111	15	–	–	PUNCT
ejpam-6556	111	16	leffler	leffler	NOUN
ejpam-6556	111	17	function	function	NOUN
ejpam-6556	111	18	.	.	PUNCT
ejpam-6556	112	1	the	the	DET
ejpam-6556	112	2	mittag	mittag	ADJ
ejpam-6556	112	3	–	–	PUNCT
ejpam-6556	112	4	leffler	leffler	ADJ
ejpam-6556	112	5	function	function	NOUN
ejpam-6556	112	6	appears	appear	VERB
ejpam-6556	112	7	usually	usually	ADV
ejpam-6556	112	8	in	in	ADP
ejpam-6556	112	9	the	the	DET
ejpam-6556	112	10	study	study	NOUN
ejpam-6556	112	11	of	of	ADP
ejpam-6556	112	12	fractional	fractional	ADJ
ejpam-6556	112	13	calculus	calculus	NOUN
ejpam-6556	112	14	and	and	CCONJ
ejpam-6556	112	15	especially	especially	ADV
ejpam-6556	112	16	in	in	ADP
ejpam-6556	112	17	the	the	DET
ejpam-6556	112	18	studies	study	NOUN
ejpam-6556	112	19	of	of	ADP
ejpam-6556	112	20	fractional	fractional	ADJ
ejpam-6556	112	21	conjecture	conjecture	NOUN
ejpam-6556	112	22	of	of	ADP
ejpam-6556	112	23	the	the	DET
ejpam-6556	112	24	kinetic	kinetic	ADJ
ejpam-6556	112	25	equation	equation	NOUN
ejpam-6556	112	26	,	,	PUNCT
ejpam-6556	112	27	super	super	ADJ
ejpam-6556	112	28	diffusive	diffusive	ADJ
ejpam-6556	112	29	transport	transport	NOUN
ejpam-6556	112	30	,	,	PUNCT
ejpam-6556	112	31	random	random	ADJ
ejpam-6556	112	32	walks	walk	NOUN
ejpam-6556	112	33	,	,	PUNCT
ejpam-6556	112	34	lévy	lévy	X
ejpam-6556	112	35	flights	flight	NOUN
ejpam-6556	112	36	,	,	PUNCT
ejpam-6556	112	37	and	and	CCONJ
ejpam-6556	112	38	in	in	ADP
ejpam-6556	112	39	the	the	DET
ejpam-6556	112	40	studies	study	NOUN
ejpam-6556	112	41	of	of	ADP
ejpam-6556	112	42	complicated	complicated	ADJ
ejpam-6556	112	43	structures	structure	NOUN
ejpam-6556	112	44	.	.	PUNCT
ejpam-6556	113	1	cortez	cortez	PROPN
ejpam-6556	113	2	presented	present	VERB
ejpam-6556	113	3	the	the	DET
ejpam-6556	113	4	generalized	generalized	ADJ
ejpam-6556	113	5	convex	convex	NOUN
ejpam-6556	113	6	set	set	VERB
ejpam-6556	113	7	and	and	CCONJ
ejpam-6556	113	8	the	the	DET
ejpam-6556	113	9	convex	convex	NOUN
ejpam-6556	113	10	function	function	NOUN
ejpam-6556	113	11	pertaining	pertain	VERB
ejpam-6556	113	12	to	to	ADP
ejpam-6556	113	13	raina	raina	PROPN
ejpam-6556	113	14	’s	’s	PART
ejpam-6556	113	15	function	function	NOUN
ejpam-6556	113	16	in	in	ADP
ejpam-6556	113	17	[	[	X
ejpam-6556	113	18	45	45	NUM
ejpam-6556	113	19	,	,	PUNCT
ejpam-6556	113	20	46	46	NUM
ejpam-6556	113	21	]	]	PUNCT
ejpam-6556	113	22	.	.	PUNCT
ejpam-6556	114	1	definition	definition	NOUN
ejpam-6556	114	2	2	2	NUM
ejpam-6556	114	3	(	(	PUNCT
ejpam-6556	114	4	see	see	VERB
ejpam-6556	114	5	[	[	X
ejpam-6556	114	6	46	46	NUM
ejpam-6556	114	7	]	]	PUNCT
ejpam-6556	114	8	)	)	PUNCT
ejpam-6556	114	9	.	.	PUNCT
ejpam-6556	115	1	let	let	VERB
ejpam-6556	115	2	ϱ	ϱ	VERB
ejpam-6556	115	3	=	=	SYM
ejpam-6556	115	4	(	(	PUNCT
ejpam-6556	115	5	ϱ(0	ϱ(0	NOUN
ejpam-6556	115	6	)	)	PUNCT
ejpam-6556	115	7	,	,	PUNCT
ejpam-6556	115	8	.	.	PUNCT
ejpam-6556	115	9	.	.	PUNCT
ejpam-6556	116	1	.	.	PUNCT
ejpam-6556	117	1	,	,	PUNCT
ejpam-6556	117	2	ϱ(v	ϱ(v	PROPN
ejpam-6556	117	3	)	)	PUNCT
ejpam-6556	117	4	,	,	PUNCT
ejpam-6556	117	5	.	.	PUNCT
ejpam-6556	117	6	.	.	PUNCT
ejpam-6556	118	1	.	.	PUNCT
ejpam-6556	118	2	)	)	PUNCT
ejpam-6556	119	1	and	and	CCONJ
ejpam-6556	119	2	ϵ	ϵ	X
ejpam-6556	119	3	,	,	PUNCT
ejpam-6556	119	4	σ	σ	PROPN
ejpam-6556	119	5	>	>	X
ejpam-6556	119	6	0	0	X
ejpam-6556	119	7	.	.	PUNCT
ejpam-6556	120	1	a	a	DET
ejpam-6556	120	2	set	set	NOUN
ejpam-6556	120	3	x	x	PUNCT
ejpam-6556	120	4	̸=	̸=	NOUN
ejpam-6556	120	5	∅	∅	NOUN
ejpam-6556	120	6	is	be	AUX
ejpam-6556	120	7	said	say	VERB
ejpam-6556	120	8	to	to	PART
ejpam-6556	120	9	be	be	AUX
ejpam-6556	120	10	generalized	generalize	VERB
ejpam-6556	120	11	convex	convex	NOUN
ejpam-6556	120	12	,	,	PUNCT
ejpam-6556	120	13	if	if	SCONJ
ejpam-6556	120	14	la	la	PROPN
ejpam-6556	120	15	+	+	NOUN
ejpam-6556	120	16	x	x	PROPN
ejpam-6556	120	17	∆ϱ	∆ϱ	PROPN
ejpam-6556	120	18	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	120	19	−	−	PROPN
ejpam-6556	120	20	la	la	PROPN
ejpam-6556	120	21	)	)	PUNCT
ejpam-6556	120	22	∈	∈	PROPN
ejpam-6556	120	23	x	x	X
ejpam-6556	120	24	,	,	PUNCT
ejpam-6556	120	25	(	(	PUNCT
ejpam-6556	120	26	2.5	2.5	NUM
ejpam-6556	120	27	)	)	PUNCT
ejpam-6556	120	28	for	for	ADP
ejpam-6556	120	29	all	all	DET
ejpam-6556	120	30	la	la	ADJ
ejpam-6556	120	31	,	,	PUNCT
ejpam-6556	120	32	lb	lb	DET
ejpam-6556	120	33	∈	∈	PROPN
ejpam-6556	120	34	x	x	X
ejpam-6556	120	35	and	and	CCONJ
ejpam-6556	120	36	x	x	PUNCT
ejpam-6556	120	37	∈	∈	PROPN
ejpam-6556	121	1	[	[	X
ejpam-6556	121	2	0	0	NUM
ejpam-6556	121	3	,	,	PUNCT
ejpam-6556	121	4	1	1	NUM
ejpam-6556	121	5	]	]	PUNCT
ejpam-6556	121	6	.	.	PUNCT
ejpam-6556	122	1	definition	definition	NOUN
ejpam-6556	122	2	3	3	NUM
ejpam-6556	122	3	(	(	PUNCT
ejpam-6556	122	4	see	see	VERB
ejpam-6556	122	5	[	[	X
ejpam-6556	122	6	46	46	NUM
ejpam-6556	122	7	]	]	PUNCT
ejpam-6556	122	8	)	)	PUNCT
ejpam-6556	122	9	.	.	PUNCT
ejpam-6556	123	1	let	let	VERB
ejpam-6556	123	2	ϱ	ϱ	PART
ejpam-6556	123	3	represent	represent	VERB
ejpam-6556	123	4	a	a	DET
ejpam-6556	123	5	bounded	bounded	ADJ
ejpam-6556	123	6	sequence	sequence	NOUN
ejpam-6556	123	7	then	then	ADV
ejpam-6556	123	8	ϱ	ϱ	VERB
ejpam-6556	123	9	=	=	SYM
ejpam-6556	123	10	(	(	PUNCT
ejpam-6556	123	11	ϱ(0	ϱ(0	NOUN
ejpam-6556	123	12	)	)	PUNCT
ejpam-6556	123	13	,	,	PUNCT
ejpam-6556	123	14	.	.	PUNCT
ejpam-6556	123	15	.	.	PUNCT
ejpam-6556	124	1	.	.	PUNCT
ejpam-6556	125	1	,	,	PUNCT
ejpam-6556	125	2	ϱ(v	ϱ(v	PROPN
ejpam-6556	125	3	)	)	PUNCT
ejpam-6556	125	4	,	,	PUNCT
ejpam-6556	125	5	.	.	PUNCT
ejpam-6556	125	6	.	.	PUNCT
ejpam-6556	126	1	.	.	PUNCT
ejpam-6556	126	2	)	)	PUNCT
ejpam-6556	127	1	and	and	CCONJ
ejpam-6556	127	2	ϵ	ϵ	X
ejpam-6556	127	3	,	,	PUNCT
ejpam-6556	127	4	σ	σ	PROPN
ejpam-6556	127	5	>	>	X
ejpam-6556	127	6	0	0	X
ejpam-6556	127	7	.	.	PUNCT
ejpam-6556	128	1	if	if	SCONJ
ejpam-6556	128	2	real	real	ADV
ejpam-6556	128	3	-	-	PUNCT
ejpam-6556	128	4	valued	value	VERB
ejpam-6556	128	5	λ	λ	NOUN
ejpam-6556	128	6	holds	hold	VERB
ejpam-6556	128	7	the	the	DET
ejpam-6556	128	8	following	follow	VERB
ejpam-6556	128	9	inequality	inequality	NOUN
ejpam-6556	128	10	λ	λ	PROPN
ejpam-6556	128	11	(	(	PUNCT
ejpam-6556	128	12	la	la	X
ejpam-6556	128	13	+	+	PROPN
ejpam-6556	128	14	x	x	SYM
ejpam-6556	128	15	∆ϱ	∆ϱ	PROPN
ejpam-6556	128	16	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	128	17	−	−	PROPN
ejpam-6556	128	18	la	la	PROPN
ejpam-6556	128	19	)	)	PUNCT
ejpam-6556	128	20	)	)	PUNCT
ejpam-6556	128	21	≤	≤	NOUN
ejpam-6556	128	22	xλ(lb	xλ(lb	CCONJ
ejpam-6556	128	23	)	)	PUNCT
ejpam-6556	129	1	+	+	CCONJ
ejpam-6556	129	2	(	(	PUNCT
ejpam-6556	129	3	1−	1−	NUM
ejpam-6556	129	4	x)λ(la	x)λ(la	NUM
ejpam-6556	129	5	)	)	PUNCT
ejpam-6556	129	6	,	,	PUNCT
ejpam-6556	129	7	(	(	PUNCT
ejpam-6556	129	8	2.6	2.6	NUM
ejpam-6556	129	9	)	)	PUNCT
ejpam-6556	129	10	for	for	ADP
ejpam-6556	129	11	all	all	DET
ejpam-6556	129	12	la	la	ADJ
ejpam-6556	129	13	,	,	PUNCT
ejpam-6556	130	1	lb	lb	PRON
ejpam-6556	130	2	∈	∈	PROPN
ejpam-6556	130	3	x	x	NOUN
ejpam-6556	130	4	,	,	PUNCT
ejpam-6556	130	5	where	where	SCONJ
ejpam-6556	130	6	la	la	ADV
ejpam-6556	130	7	<	<	X
ejpam-6556	130	8	lb	lb	X
ejpam-6556	130	9	and	and	CCONJ
ejpam-6556	130	10	x	x	SYM
ejpam-6556	130	11	∈	∈	PROPN
ejpam-6556	131	1	[	[	X
ejpam-6556	131	2	0	0	NUM
ejpam-6556	131	3	,	,	PUNCT
ejpam-6556	131	4	1	1	NUM
ejpam-6556	131	5	]	]	PUNCT
ejpam-6556	131	6	,	,	PUNCT
ejpam-6556	131	7	then	then	ADV
ejpam-6556	131	8	λ	λ	PROPN
ejpam-6556	131	9	is	be	AUX
ejpam-6556	131	10	said	say	VERB
ejpam-6556	131	11	to	to	PART
ejpam-6556	131	12	be	be	AUX
ejpam-6556	131	13	generalized	generalize	VERB
ejpam-6556	131	14	convex	convex	NOUN
ejpam-6556	131	15	function	function	NOUN
ejpam-6556	131	16	.	.	PUNCT
ejpam-6556	132	1	remark	remark	PROPN
ejpam-6556	132	2	1	1	NUM
ejpam-6556	132	3	.	.	PUNCT
ejpam-6556	133	1	if	if	SCONJ
ejpam-6556	133	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	133	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	133	4	−	−	PROPN
ejpam-6556	133	5	la	la	PROPN
ejpam-6556	133	6	)	)	PUNCT
ejpam-6556	133	7	=	=	SYM
ejpam-6556	134	1	lb	lb	PRON
ejpam-6556	134	2	−	−	PROPN
ejpam-6556	134	3	la	la	INTJ
ejpam-6556	134	4	>	>	X
ejpam-6556	134	5	0	0	PROPN
ejpam-6556	134	6	,	,	PUNCT
ejpam-6556	134	7	then	then	ADV
ejpam-6556	134	8	achieve	achieve	VERB
ejpam-6556	134	9	definition	definition	NOUN
ejpam-6556	134	10	1	1	NUM
ejpam-6556	134	11	.	.	PUNCT
ejpam-6556	134	12	m.	m.	NOUN
ejpam-6556	134	13	tariq	tariq	PROPN
ejpam-6556	134	14	et	et	PROPN
ejpam-6556	134	15	al	al	PROPN
ejpam-6556	134	16	.	.	PUNCT
ejpam-6556	134	17	/	/	SYM
ejpam-6556	134	18	eur	eur	PROPN
ejpam-6556	134	19	.	.	PUNCT
ejpam-6556	135	1	j.	j.	PROPN
ejpam-6556	135	2	pure	pure	PROPN
ejpam-6556	135	3	appl	appl	PROPN
ejpam-6556	135	4	.	.	PROPN
ejpam-6556	135	5	math	math	PROPN
ejpam-6556	135	6	,	,	PUNCT
ejpam-6556	135	7	18	18	NUM
ejpam-6556	135	8	(	(	PUNCT
ejpam-6556	135	9	3	3	NUM
ejpam-6556	135	10	)	)	PUNCT
ejpam-6556	135	11	(	(	PUNCT
ejpam-6556	135	12	2025	2025	NUM
ejpam-6556	135	13	)	)	PUNCT
ejpam-6556	135	14	,	,	PUNCT
ejpam-6556	135	15	6556	6556	NUM
ejpam-6556	135	16	6	6	NUM
ejpam-6556	135	17	of	of	ADP
ejpam-6556	135	18	28	28	NUM
ejpam-6556	135	19	the	the	DET
ejpam-6556	135	20	following	follow	VERB
ejpam-6556	135	21	condition	condition	NOUN
ejpam-6556	135	22	-	-	PUNCT
ejpam-6556	135	23	a	a	DET
ejpam-6556	135	24	first	first	ADJ
ejpam-6556	135	25	time	time	NOUN
ejpam-6556	135	26	explored	explore	VERB
ejpam-6556	135	27	by	by	ADP
ejpam-6556	135	28	ahmad	ahmad	PROPN
ejpam-6556	135	29	et.al	et.al	PROPN
ejpam-6556	136	1	[	[	X
ejpam-6556	136	2	47	47	NUM
ejpam-6556	136	3	]	]	PUNCT
ejpam-6556	136	4	.	.	PUNCT
ejpam-6556	137	1	condition	condition	NOUN
ejpam-6556	137	2	c	c	X
ejpam-6556	137	3	:	:	PUNCT
ejpam-6556	137	4	let	let	VERB
ejpam-6556	137	5	x	x	PRON
ejpam-6556	137	6	be	be	AUX
ejpam-6556	137	7	generalized	generalize	VERB
ejpam-6556	137	8	convex	convex	NOUN
ejpam-6556	137	9	subset	subset	VERB
ejpam-6556	137	10	w.r.t	w.r.t	NOUN
ejpam-6556	137	11	.	.	PUNCT
ejpam-6556	138	1	∆ϱ	∆ϱ	PROPN
ejpam-6556	138	2	ϵ,σ	ϵ,σ	PROPN
ejpam-6556	138	3	(	(	PUNCT
ejpam-6556	138	4	·	·	PUNCT
ejpam-6556	138	5	)	)	PUNCT
ejpam-6556	138	6	.	.	PUNCT
ejpam-6556	139	1	for	for	ADP
ejpam-6556	139	2	any	any	DET
ejpam-6556	139	3	la	la	NOUN
ejpam-6556	139	4	,	,	PUNCT
ejpam-6556	139	5	lb	lb	DET
ejpam-6556	139	6	∈	∈	PROPN
ejpam-6556	139	7	x	x	X
ejpam-6556	139	8	and	and	CCONJ
ejpam-6556	139	9	x	x	PUNCT
ejpam-6556	139	10	∈	∈	PROPN
ejpam-6556	140	1	[	[	X
ejpam-6556	140	2	0	0	NUM
ejpam-6556	140	3	,	,	PUNCT
ejpam-6556	140	4	1	1	NUM
ejpam-6556	140	5	]	]	PUNCT
ejpam-6556	140	6	,	,	PUNCT
ejpam-6556	140	7	∆ϱ	∆ϱ	PROPN
ejpam-6556	140	8	ϵ,σ	ϵ,σ	PROPN
ejpam-6556	140	9	(	(	PUNCT
ejpam-6556	140	10	la	la	ADV
ejpam-6556	140	11	−	−	PROPN
ejpam-6556	140	12	(	(	PUNCT
ejpam-6556	140	13	la	la	PROPN
ejpam-6556	140	14	+	+	NOUN
ejpam-6556	140	15	x	x	SYM
ejpam-6556	140	16	∆ϱ	∆ϱ	PROPN
ejpam-6556	140	17	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	140	18	−	−	PROPN
ejpam-6556	140	19	la	la	NOUN
ejpam-6556	140	20	)	)	PUNCT
ejpam-6556	140	21	)	)	PUNCT
ejpam-6556	140	22	)	)	PUNCT
ejpam-6556	141	1	=	=	PUNCT
ejpam-6556	141	2	−x	−x	NUM
ejpam-6556	141	3	∆ϱ	∆ϱ	PROPN
ejpam-6556	141	4	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	141	5	−	−	PROPN
ejpam-6556	141	6	la	la	PROPN
ejpam-6556	141	7	)	)	PUNCT
ejpam-6556	141	8	,	,	PUNCT
ejpam-6556	142	1	∆ϱ	∆ϱ	PROPN
ejpam-6556	142	2	ϵ,σ	ϵ,σ	PROPN
ejpam-6556	142	3	(	(	PUNCT
ejpam-6556	142	4	lb	lb	INTJ
ejpam-6556	142	5	−	−	PROPN
ejpam-6556	142	6	(	(	PUNCT
ejpam-6556	142	7	la	la	PROPN
ejpam-6556	142	8	+	+	NOUN
ejpam-6556	142	9	x	x	SYM
ejpam-6556	142	10	∆ϱ	∆ϱ	PROPN
ejpam-6556	142	11	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	142	12	−	−	PROPN
ejpam-6556	142	13	la	la	NOUN
ejpam-6556	142	14	)	)	PUNCT
ejpam-6556	142	15	)	)	PUNCT
ejpam-6556	142	16	)	)	PUNCT
ejpam-6556	143	1	=	=	PUNCT
ejpam-6556	143	2	(	(	PUNCT
ejpam-6556	143	3	1−	1−	NUM
ejpam-6556	143	4	x	x	SYM
ejpam-6556	143	5	)	)	PUNCT
ejpam-6556	143	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	143	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	143	8	−	−	PROPN
ejpam-6556	143	9	la	la	PROPN
ejpam-6556	143	10	)	)	PUNCT
ejpam-6556	143	11	.	.	PUNCT
ejpam-6556	144	1	note	note	VERB
ejpam-6556	144	2	that	that	SCONJ
ejpam-6556	144	3	,	,	PUNCT
ejpam-6556	144	4	for	for	ADP
ejpam-6556	144	5	every	every	DET
ejpam-6556	144	6	la	la	NOUN
ejpam-6556	144	7	,	,	PUNCT
ejpam-6556	144	8	lb	lb	DET
ejpam-6556	144	9	∈	∈	PROPN
ejpam-6556	144	10	x	x	X
ejpam-6556	144	11	and	and	CCONJ
ejpam-6556	144	12	for	for	ADP
ejpam-6556	144	13	all	all	DET
ejpam-6556	144	14	x1	x1	PROPN
ejpam-6556	144	15	,	,	PUNCT
ejpam-6556	144	16	x2	x2	PROPN
ejpam-6556	144	17	∈	∈	PROPN
ejpam-6556	145	1	[	[	X
ejpam-6556	145	2	0	0	NUM
ejpam-6556	145	3	,	,	PUNCT
ejpam-6556	145	4	1	1	NUM
ejpam-6556	145	5	]	]	PUNCT
ejpam-6556	145	6	from	from	ADP
ejpam-6556	145	7	condition	condition	NOUN
ejpam-6556	145	8	-	-	PUNCT
ejpam-6556	145	9	a	a	NOUN
ejpam-6556	145	10	,	,	PUNCT
ejpam-6556	145	11	we	we	PRON
ejpam-6556	145	12	have	have	VERB
ejpam-6556	145	13	∆ϱ	∆ϱ	PROPN
ejpam-6556	145	14	ϵ,σ	ϵ,σ	PROPN
ejpam-6556	145	15	(	(	PUNCT
ejpam-6556	145	16	la	la	PROPN
ejpam-6556	145	17	+	+	CCONJ
ejpam-6556	145	18	x2	x2	PROPN
ejpam-6556	145	19	∆	∆	PROPN
ejpam-6556	145	20	ϱ	ϱ	ADP
ejpam-6556	145	21	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	145	22	−	−	NOUN
ejpam-6556	145	23	la)−	la)−	NOUN
ejpam-6556	145	24	(	(	PUNCT
ejpam-6556	145	25	la	la	X
ejpam-6556	145	26	+	+	SYM
ejpam-6556	145	27	x1	x1	PROPN
ejpam-6556	145	28	∆	∆	PROPN
ejpam-6556	145	29	ϱ	ϱ	ADP
ejpam-6556	145	30	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	145	31	−	−	PROPN
ejpam-6556	145	32	la	la	NOUN
ejpam-6556	145	33	)	)	PUNCT
ejpam-6556	145	34	)	)	PUNCT
ejpam-6556	145	35	)	)	PUNCT
ejpam-6556	146	1	=	=	PUNCT
ejpam-6556	146	2	(	(	PUNCT
ejpam-6556	146	3	x2	x2	INTJ
ejpam-6556	146	4	−	−	PROPN
ejpam-6556	146	5	x1	x1	PROPN
ejpam-6556	146	6	)	)	PUNCT
ejpam-6556	146	7	∆	∆	PROPN
ejpam-6556	146	8	ϱ	ϱ	ADP
ejpam-6556	146	9	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	146	10	−	−	PROPN
ejpam-6556	146	11	la	la	PROPN
ejpam-6556	146	12	)	)	PUNCT
ejpam-6556	146	13	.	.	PUNCT
ejpam-6556	147	1	(	(	PUNCT
ejpam-6556	147	2	2.7	2.7	NUM
ejpam-6556	147	3	)	)	PUNCT
ejpam-6556	147	4	some	some	DET
ejpam-6556	147	5	well	well	ADV
ejpam-6556	147	6	-	-	PUNCT
ejpam-6556	147	7	known	know	VERB
ejpam-6556	147	8	integral	integral	ADJ
ejpam-6556	147	9	inequalities	inequality	NOUN
ejpam-6556	147	10	such	such	ADJ
ejpam-6556	147	11	as	as	ADP
ejpam-6556	147	12	hölder	hölder	NOUN
ejpam-6556	147	13	inequality	inequality	NOUN
ejpam-6556	147	14	and	and	CCONJ
ejpam-6556	147	15	power	power	NOUN
ejpam-6556	147	16	-	-	PUNCT
ejpam-6556	147	17	mean	mean	NOUN
ejpam-6556	147	18	inequality	inequality	NOUN
ejpam-6556	147	19	will	will	AUX
ejpam-6556	147	20	be	be	AUX
ejpam-6556	147	21	used	use	VERB
ejpam-6556	147	22	.	.	PUNCT
ejpam-6556	148	1	theorem	theorem	NOUN
ejpam-6556	148	2	2	2	NUM
ejpam-6556	148	3	.	.	PUNCT
ejpam-6556	149	1	[	[	X
ejpam-6556	149	2	48	48	NUM
ejpam-6556	149	3	]	]	PUNCT
ejpam-6556	149	4	assume	assume	VERB
ejpam-6556	149	5	that	that	SCONJ
ejpam-6556	149	6	p	p	PROPN
ejpam-6556	149	7	>	>	X
ejpam-6556	149	8	1	1	NUM
ejpam-6556	149	9	and	and	CCONJ
ejpam-6556	149	10	1	1	NUM
ejpam-6556	149	11	p	p	NOUN
ejpam-6556	150	1	+	+	NOUN
ejpam-6556	150	2	1	1	NUM
ejpam-6556	150	3	q	q	NOUN
ejpam-6556	150	4	=	=	SYM
ejpam-6556	150	5	1	1	X
ejpam-6556	150	6	.	.	X
ejpam-6556	150	7	assume	assume	VERB
ejpam-6556	150	8	that	that	SCONJ
ejpam-6556	150	9	s	s	VERB
ejpam-6556	150	10	λ1,λ2	λ1,λ2	PROPN
ejpam-6556	150	11	:	:	PUNCT
ejpam-6556	151	1	[	[	X
ejpam-6556	151	2	x1	x1	X
ejpam-6556	151	3	,	,	PUNCT
ejpam-6556	151	4	x2	x2	PROPN
ejpam-6556	151	5	]	]	X
ejpam-6556	151	6	→	→	PUNCT
ejpam-6556	151	7	r	r	NOUN
ejpam-6556	151	8	are	be	AUX
ejpam-6556	151	9	such	such	ADJ
ejpam-6556	151	10	that	that	PRON
ejpam-6556	151	11	|λ1|p	|λ1|p	VERB
ejpam-6556	151	12	and	and	CCONJ
ejpam-6556	151	13	|λ2|q	|λ2|q	PROPN
ejpam-6556	151	14	are	be	AUX
ejpam-6556	151	15	integrable	integrable	ADJ
ejpam-6556	151	16	on	on	ADP
ejpam-6556	151	17	[	[	X
ejpam-6556	151	18	x1	x1	PROPN
ejpam-6556	151	19	,	,	PUNCT
ejpam-6556	151	20	x2	x2	PROPN
ejpam-6556	151	21	]	]	PUNCT
ejpam-6556	151	22	.	.	PUNCT
ejpam-6556	152	1	then∫	then∫	NOUN
ejpam-6556	152	2	1	1	NUM
ejpam-6556	152	3	0	0	NUM
ejpam-6556	152	4	|λ1(x)λ2(x)|dx	|λ1(x)λ2(x)|dx	PROPN
ejpam-6556	152	5	≤	≤	NUM
ejpam-6556	152	6	(	(	PUNCT
ejpam-6556	152	7	∫	∫	PROPN
ejpam-6556	152	8	1	1	NUM
ejpam-6556	152	9	0	0	NUM
ejpam-6556	152	10	|λ1(x)|pdx	|λ1(x)|pdx	NOUN
ejpam-6556	152	11	)	)	PUNCT
ejpam-6556	152	12	1	1	NUM
ejpam-6556	152	13	p	p	NOUN
ejpam-6556	152	14	(	(	PUNCT
ejpam-6556	152	15	∫	∫	PROPN
ejpam-6556	152	16	1	1	NUM
ejpam-6556	152	17	0	0	NUM
ejpam-6556	152	18	|λ2(x)|qdx	|λ2(x)|qdx	NOUN
ejpam-6556	152	19	)	)	PUNCT
ejpam-6556	152	20	1	1	NUM
ejpam-6556	152	21	q	q	NOUN
ejpam-6556	152	22	.	.	PUNCT
ejpam-6556	153	1	if	if	SCONJ
ejpam-6556	153	2	we	we	PRON
ejpam-6556	153	3	get	get	VERB
ejpam-6556	153	4	|λ1||λ2|	|λ1||λ2|	PROPN
ejpam-6556	153	5	=	=	SYM
ejpam-6556	153	6	(	(	PUNCT
ejpam-6556	153	7	|λ1|	|λ1|	ADP
ejpam-6556	153	8	1	1	NUM
ejpam-6556	153	9	p	p	NOUN
ejpam-6556	153	10	)	)	PUNCT
ejpam-6556	153	11	(	(	PUNCT
ejpam-6556	153	12	|λ1|	|λ1|	ADP
ejpam-6556	153	13	1	1	NUM
ejpam-6556	153	14	q	q	NOUN
ejpam-6556	153	15	|λ2|	|λ2|	NOUN
ejpam-6556	153	16	)	)	PUNCT
ejpam-6556	153	17	in	in	ADP
ejpam-6556	153	18	the	the	DET
ejpam-6556	153	19	hölder	hölder	NOUN
ejpam-6556	153	20	inequality	inequality	NOUN
ejpam-6556	153	21	,	,	PUNCT
ejpam-6556	153	22	then	then	ADV
ejpam-6556	153	23	we	we	PRON
ejpam-6556	153	24	obtain	obtain	VERB
ejpam-6556	153	25	the	the	DET
ejpam-6556	153	26	following	follow	VERB
ejpam-6556	153	27	power	power	NOUN
ejpam-6556	153	28	mean	mean	VERB
ejpam-6556	153	29	integral	integral	ADJ
ejpam-6556	153	30	inequality	inequality	NOUN
ejpam-6556	153	31	as	as	ADP
ejpam-6556	153	32	a	a	DET
ejpam-6556	153	33	simple	simple	ADJ
ejpam-6556	153	34	result	result	NOUN
ejpam-6556	153	35	of	of	ADP
ejpam-6556	153	36	the	the	DET
ejpam-6556	153	37	hölder	hölder	NOUN
ejpam-6556	153	38	integral	integral	ADJ
ejpam-6556	153	39	inequality	inequality	NOUN
ejpam-6556	153	40	.	.	PUNCT
ejpam-6556	154	1	theorem	theorem	NOUN
ejpam-6556	154	2	3	3	NUM
ejpam-6556	154	3	.	.	PUNCT
ejpam-6556	155	1	[	[	X
ejpam-6556	155	2	48	48	NUM
ejpam-6556	155	3	]	]	PUNCT
ejpam-6556	155	4	assume	assume	VERB
ejpam-6556	155	5	that	that	SCONJ
ejpam-6556	155	6	λ	λ	PROPN
ejpam-6556	155	7	≥	≥	NOUN
ejpam-6556	155	8	1	1	NUM
ejpam-6556	155	9	and	and	CCONJ
ejpam-6556	155	10	1	1	NUM
ejpam-6556	155	11	p	p	NOUN
ejpam-6556	156	1	+	+	NOUN
ejpam-6556	156	2	1	1	NUM
ejpam-6556	156	3	q	q	NOUN
ejpam-6556	156	4	=	=	SYM
ejpam-6556	156	5	1	1	X
ejpam-6556	156	6	.	.	X
ejpam-6556	156	7	assume	assume	VERB
ejpam-6556	156	8	that	that	SCONJ
ejpam-6556	156	9	s	s	VERB
ejpam-6556	156	10	λ1,λ2	λ1,λ2	PROPN
ejpam-6556	156	11	:	:	PUNCT
ejpam-6556	157	1	[	[	X
ejpam-6556	157	2	x1	x1	X
ejpam-6556	157	3	,	,	PUNCT
ejpam-6556	157	4	x2	x2	PROPN
ejpam-6556	157	5	]	]	X
ejpam-6556	157	6	→	→	PUNCT
ejpam-6556	157	7	r	r	NOUN
ejpam-6556	157	8	are	be	AUX
ejpam-6556	157	9	such	such	ADJ
ejpam-6556	157	10	that	that	PRON
ejpam-6556	157	11	|λ1|p	|λ1|p	VERB
ejpam-6556	157	12	and	and	CCONJ
ejpam-6556	157	13	|λ2|q	|λ2|q	PROPN
ejpam-6556	157	14	are	be	AUX
ejpam-6556	157	15	integrable	integrable	ADJ
ejpam-6556	157	16	on	on	ADP
ejpam-6556	157	17	[	[	X
ejpam-6556	157	18	x1	x1	PROPN
ejpam-6556	157	19	,	,	PUNCT
ejpam-6556	157	20	x2	x2	PROPN
ejpam-6556	157	21	]	]	PUNCT
ejpam-6556	157	22	.	.	PUNCT
ejpam-6556	158	1	then∫	then∫	NOUN
ejpam-6556	158	2	1	1	NUM
ejpam-6556	158	3	0	0	NUM
ejpam-6556	158	4	|λ1(x)λ2(x)|dx	|λ1(x)λ2(x)|dx	PROPN
ejpam-6556	158	5	≤	≤	NUM
ejpam-6556	158	6	(	(	PUNCT
ejpam-6556	158	7	∫	∫	PROPN
ejpam-6556	158	8	1	1	NUM
ejpam-6556	158	9	0	0	NUM
ejpam-6556	158	10	|λ1(x)|dx	|λ1(x)|dx	PROPN
ejpam-6556	158	11	)	)	PUNCT
ejpam-6556	158	12	1−	1−	PROPN
ejpam-6556	158	13	1	1	NUM
ejpam-6556	158	14	q	q	NOUN
ejpam-6556	158	15	(	(	PUNCT
ejpam-6556	158	16	∫	∫	PROPN
ejpam-6556	158	17	1	1	NUM
ejpam-6556	158	18	0	0	NUM
ejpam-6556	158	19	|λ1(x)|dx	|λ1(x)|dx	PROPN
ejpam-6556	158	20	∫	∫	NOUN
ejpam-6556	158	21	1	1	NUM
ejpam-6556	158	22	0	0	NUM
ejpam-6556	158	23	|λ2(x)|qdx	|λ2(x)|qdx	NOUN
ejpam-6556	158	24	)	)	PUNCT
ejpam-6556	158	25	1	1	NUM
ejpam-6556	158	26	q	q	NOUN
ejpam-6556	158	27	.	.	PUNCT
ejpam-6556	159	1	with	with	ADP
ejpam-6556	159	2	the	the	DET
ejpam-6556	159	3	advancement	advancement	NOUN
ejpam-6556	159	4	of	of	ADP
ejpam-6556	159	5	fractional	fractional	ADJ
ejpam-6556	159	6	calculus	calculus	NOUN
ejpam-6556	159	7	,	,	PUNCT
ejpam-6556	159	8	numerous	numerous	ADJ
ejpam-6556	159	9	mathematicians	mathematician	NOUN
ejpam-6556	159	10	have	have	AUX
ejpam-6556	159	11	introduced	introduce	VERB
ejpam-6556	159	12	a	a	DET
ejpam-6556	159	13	variety	variety	NOUN
ejpam-6556	159	14	of	of	ADP
ejpam-6556	159	15	fractional	fractional	ADJ
ejpam-6556	159	16	derivative	derivative	ADJ
ejpam-6556	159	17	and	and	CCONJ
ejpam-6556	159	18	integral	integral	ADJ
ejpam-6556	159	19	operators	operator	NOUN
ejpam-6556	159	20	to	to	PART
ejpam-6556	159	21	address	address	VERB
ejpam-6556	159	22	complex	complex	ADJ
ejpam-6556	159	23	phenomena	phenomenon	NOUN
ejpam-6556	159	24	arising	arise	VERB
ejpam-6556	159	25	in	in	ADP
ejpam-6556	159	26	real	real	ADJ
ejpam-6556	159	27	-	-	PUNCT
ejpam-6556	159	28	world	world	NOUN
ejpam-6556	159	29	applications	application	NOUN
ejpam-6556	159	30	.	.	PUNCT
ejpam-6556	160	1	these	these	DET
ejpam-6556	160	2	operators	operator	NOUN
ejpam-6556	160	3	aim	aim	VERB
ejpam-6556	160	4	to	to	PART
ejpam-6556	160	5	capture	capture	VERB
ejpam-6556	160	6	memory	memory	NOUN
ejpam-6556	160	7	effects	effect	NOUN
ejpam-6556	160	8	and	and	CCONJ
ejpam-6556	160	9	hereditary	hereditary	ADJ
ejpam-6556	160	10	properties	property	NOUN
ejpam-6556	160	11	inherent	inherent	ADJ
ejpam-6556	160	12	in	in	ADP
ejpam-6556	160	13	many	many	ADJ
ejpam-6556	160	14	physical	physical	ADJ
ejpam-6556	160	15	,	,	PUNCT
ejpam-6556	160	16	biological	biological	ADJ
ejpam-6556	160	17	,	,	PUNCT
ejpam-6556	160	18	and	and	CCONJ
ejpam-6556	160	19	engineering	engineering	NOUN
ejpam-6556	160	20	systems	system	NOUN
ejpam-6556	160	21	.	.	PUNCT
ejpam-6556	161	1	over	over	ADP
ejpam-6556	161	2	time	time	NOUN
ejpam-6556	161	3	,	,	PUNCT
ejpam-6556	161	4	several	several	ADJ
ejpam-6556	161	5	notable	notable	ADJ
ejpam-6556	161	6	formulations	formulation	NOUN
ejpam-6556	161	7	have	have	AUX
ejpam-6556	161	8	emerged	emerge	VERB
ejpam-6556	161	9	in	in	ADP
ejpam-6556	161	10	the	the	DET
ejpam-6556	161	11	literature	literature	NOUN
ejpam-6556	161	12	,	,	PUNCT
ejpam-6556	161	13	some	some	PRON
ejpam-6556	161	14	of	of	ADP
ejpam-6556	161	15	which	which	PRON
ejpam-6556	161	16	are	be	AUX
ejpam-6556	161	17	listed	list	VERB
ejpam-6556	161	18	below	below	ADV
ejpam-6556	161	19	.	.	PUNCT
ejpam-6556	162	1	in	in	ADP
ejpam-6556	162	2	caputo	caputo	PROPN
ejpam-6556	162	3	-	-	PUNCT
ejpam-6556	162	4	fabrizio	fabrizio	PROPN
ejpam-6556	162	5	(	(	PUNCT
ejpam-6556	162	6	c	c	NOUN
ejpam-6556	162	7	-	-	PUNCT
ejpam-6556	162	8	f	f	NOUN
ejpam-6556	162	9	)	)	PUNCT
ejpam-6556	162	10	derivative	derivative	ADJ
ejpam-6556	162	11	operator	operator	NOUN
ejpam-6556	162	12	,	,	PUNCT
ejpam-6556	162	13	atangana	atangana	NOUN
ejpam-6556	162	14	and	and	CCONJ
ejpam-6556	162	15	baleanu	baleanu	NOUN
ejpam-6556	162	16	utilizing	utilize	VERB
ejpam-6556	162	17	the	the	DET
ejpam-6556	162	18	mittag	mittag	ADJ
ejpam-6556	162	19	-	-	PUNCT
ejpam-6556	162	20	leffler	leffler	NOUN
ejpam-6556	162	21	function	function	NOUN
ejpam-6556	162	22	and	and	CCONJ
ejpam-6556	162	23	investigate	investigate	VERB
ejpam-6556	162	24	the	the	DET
ejpam-6556	162	25	new	new	ADJ
ejpam-6556	162	26	derivative	derivative	ADJ
ejpam-6556	162	27	operators	operator	NOUN
ejpam-6556	162	28	as	as	SCONJ
ejpam-6556	162	29	follows	follow	VERB
ejpam-6556	162	30	.	.	PUNCT
ejpam-6556	163	1	definition	definition	NOUN
ejpam-6556	163	2	4	4	NUM
ejpam-6556	163	3	.	.	PUNCT
ejpam-6556	164	1	[	[	X
ejpam-6556	164	2	49	49	NUM
ejpam-6556	164	3	]	]	PUNCT
ejpam-6556	164	4	let	let	VERB
ejpam-6556	164	5	λ	λ	X
ejpam-6556	164	6	∈	∈	PROPN
ejpam-6556	164	7	h1(la	h1(la	PROPN
ejpam-6556	164	8	,	,	PUNCT
ejpam-6556	164	9	lb	lb	NOUN
ejpam-6556	164	10	)	)	PUNCT
ejpam-6556	164	11	,	,	PUNCT
ejpam-6556	164	12	lb	lb	X
ejpam-6556	164	13	>	>	X
ejpam-6556	164	14	la	la	PROPN
ejpam-6556	164	15	,	,	PUNCT
ejpam-6556	164	16	γ	γ	X
ejpam-6556	164	17	∈	∈	PROPN
ejpam-6556	165	1	[	[	X
ejpam-6556	165	2	0	0	NUM
ejpam-6556	165	3	,	,	PUNCT
ejpam-6556	165	4	1	1	NUM
ejpam-6556	165	5	)	)	PUNCT
ejpam-6556	165	6	then	then	ADV
ejpam-6556	165	7	,	,	PUNCT
ejpam-6556	165	8	the	the	DET
ejpam-6556	165	9	definition	definition	NOUN
ejpam-6556	165	10	of	of	ADP
ejpam-6556	165	11	the	the	DET
ejpam-6556	165	12	caputofabrizio	caputofabrizio	NOUN
ejpam-6556	165	13	derivative	derivative	NOUN
ejpam-6556	165	14	is	be	AUX
ejpam-6556	165	15	given	give	VERB
ejpam-6556	165	16	by	by	ADP
ejpam-6556	165	17	abc	abc	PROPN
ejpam-6556	165	18	la	la	PROPN
ejpam-6556	165	19	dγ	dγ	PROPN
ejpam-6556	165	20	t	t	PROPN
ejpam-6556	166	1	[	[	X
ejpam-6556	166	2	λ(t	λ(t	NOUN
ejpam-6556	166	3	)	)	PUNCT
ejpam-6556	166	4	]	]	PUNCT
ejpam-6556	167	1	=	=	SYM
ejpam-6556	167	2	b(γ	b(γ	PROPN
ejpam-6556	167	3	)	)	PUNCT
ejpam-6556	167	4	1−	1−	NUM
ejpam-6556	168	1	γ	γ	PROPN
ejpam-6556	168	2	∫	∫	PROPN
ejpam-6556	168	3	t	t	PROPN
ejpam-6556	168	4	la	la	PROPN
ejpam-6556	168	5	λ′(x)eγ	λ′(x)eγ	PROPN
ejpam-6556	168	6	[	[	PUNCT
ejpam-6556	168	7	−γ	−γ	NOUN
ejpam-6556	168	8	(	(	PUNCT
ejpam-6556	168	9	t−	t−	PROPN
ejpam-6556	168	10	x)γ	x)γ	SYM
ejpam-6556	168	11	(	(	PUNCT
ejpam-6556	168	12	1−	1−	NUM
ejpam-6556	168	13	γ	γ	X
ejpam-6556	168	14	)	)	PUNCT
ejpam-6556	168	15	]	]	PUNCT
ejpam-6556	169	1	dx	dx	PROPN
ejpam-6556	169	2	.	.	PUNCT
ejpam-6556	170	1	(	(	PUNCT
ejpam-6556	170	2	2.8	2.8	NUM
ejpam-6556	170	3	)	)	PUNCT
ejpam-6556	170	4	definition	definition	NOUN
ejpam-6556	170	5	5	5	NUM
ejpam-6556	170	6	.	.	PUNCT
ejpam-6556	171	1	[	[	X
ejpam-6556	171	2	49	49	NUM
ejpam-6556	171	3	]	]	PUNCT
ejpam-6556	171	4	let	let	VERB
ejpam-6556	171	5	λ	λ	X
ejpam-6556	171	6	∈	∈	PROPN
ejpam-6556	171	7	h1(la	h1(la	PROPN
ejpam-6556	171	8	,	,	PUNCT
ejpam-6556	171	9	lb	lb	NOUN
ejpam-6556	171	10	)	)	PUNCT
ejpam-6556	171	11	,	,	PUNCT
ejpam-6556	171	12	lb	lb	X
ejpam-6556	171	13	>	>	X
ejpam-6556	171	14	la	la	PROPN
ejpam-6556	171	15	,	,	PUNCT
ejpam-6556	171	16	γ	γ	X
ejpam-6556	171	17	∈	∈	PROPN
ejpam-6556	172	1	[	[	X
ejpam-6556	172	2	0	0	NUM
ejpam-6556	172	3	,	,	PUNCT
ejpam-6556	172	4	1	1	NUM
ejpam-6556	172	5	)	)	PUNCT
ejpam-6556	172	6	then	then	ADV
ejpam-6556	172	7	,	,	PUNCT
ejpam-6556	172	8	the	the	DET
ejpam-6556	172	9	definition	definition	NOUN
ejpam-6556	172	10	of	of	ADP
ejpam-6556	172	11	the	the	DET
ejpam-6556	172	12	caputofabrizio	caputofabrizio	NOUN
ejpam-6556	172	13	derivative	derivative	NOUN
ejpam-6556	172	14	is	be	AUX
ejpam-6556	172	15	given	give	VERB
ejpam-6556	172	16	by	by	ADP
ejpam-6556	172	17	abr	abr	PROPN
ejpam-6556	172	18	la	la	PROPN
ejpam-6556	172	19	dγ	dγ	PROPN
ejpam-6556	172	20	t	t	PROPN
ejpam-6556	172	21	[	[	X
ejpam-6556	172	22	λ(t	λ(t	NOUN
ejpam-6556	172	23	)	)	PUNCT
ejpam-6556	172	24	]	]	PUNCT
ejpam-6556	172	25	=	=	SYM
ejpam-6556	172	26	b(γ	b(γ	PROPN
ejpam-6556	172	27	)	)	PUNCT
ejpam-6556	172	28	1−	1−	NUM
ejpam-6556	173	1	γ	γ	X
ejpam-6556	173	2	d	d	PROPN
ejpam-6556	173	3	dt	dt	X
ejpam-6556	173	4	∫	∫	PROPN
ejpam-6556	173	5	t	t	PROPN
ejpam-6556	173	6	la	la	ADV
ejpam-6556	173	7	λ(x)eγ	λ(x)eγ	X
ejpam-6556	173	8	[	[	PUNCT
ejpam-6556	173	9	−γ	−γ	NOUN
ejpam-6556	173	10	(	(	PUNCT
ejpam-6556	173	11	t−	t−	PROPN
ejpam-6556	173	12	x)γ	x)γ	SYM
ejpam-6556	173	13	(	(	PUNCT
ejpam-6556	173	14	1−	1−	NUM
ejpam-6556	173	15	γ	γ	X
ejpam-6556	173	16	)	)	PUNCT
ejpam-6556	173	17	]	]	PUNCT
ejpam-6556	174	1	dx	dx	PROPN
ejpam-6556	174	2	.	.	PUNCT
ejpam-6556	175	1	(	(	PUNCT
ejpam-6556	175	2	2.9	2.9	NUM
ejpam-6556	175	3	)	)	PUNCT
ejpam-6556	175	4	m.	m.	NOUN
ejpam-6556	175	5	tariq	tariq	PROPN
ejpam-6556	175	6	et	et	PROPN
ejpam-6556	175	7	al	al	PROPN
ejpam-6556	175	8	.	.	PUNCT
ejpam-6556	175	9	/	/	SYM
ejpam-6556	175	10	eur	eur	PROPN
ejpam-6556	175	11	.	.	PUNCT
ejpam-6556	176	1	j.	j.	PROPN
ejpam-6556	176	2	pure	pure	PROPN
ejpam-6556	176	3	appl	appl	PROPN
ejpam-6556	176	4	.	.	PROPN
ejpam-6556	176	5	math	math	PROPN
ejpam-6556	176	6	,	,	PUNCT
ejpam-6556	176	7	18	18	NUM
ejpam-6556	176	8	(	(	PUNCT
ejpam-6556	176	9	3	3	NUM
ejpam-6556	176	10	)	)	PUNCT
ejpam-6556	176	11	(	(	PUNCT
ejpam-6556	176	12	2025	2025	NUM
ejpam-6556	176	13	)	)	PUNCT
ejpam-6556	176	14	,	,	PUNCT
ejpam-6556	176	15	6556	6556	NUM
ejpam-6556	176	16	7	7	NUM
ejpam-6556	176	17	of	of	ADP
ejpam-6556	176	18	28	28	NUM
ejpam-6556	176	19	equations	equation	NOUN
ejpam-6556	176	20	(	(	PUNCT
ejpam-6556	176	21	2.8	2.8	NUM
ejpam-6556	176	22	)	)	PUNCT
ejpam-6556	176	23	and	and	CCONJ
ejpam-6556	176	24	(	(	PUNCT
ejpam-6556	176	25	2.9	2.9	NUM
ejpam-6556	176	26	)	)	PUNCT
ejpam-6556	176	27	have	have	VERB
ejpam-6556	176	28	a	a	DET
ejpam-6556	176	29	non	non	ADJ
ejpam-6556	176	30	-	-	ADJ
ejpam-6556	176	31	local	local	ADJ
ejpam-6556	176	32	kernel	kernel	NOUN
ejpam-6556	176	33	.	.	PUNCT
ejpam-6556	177	1	also	also	ADV
ejpam-6556	177	2	in	in	ADP
ejpam-6556	177	3	equation	equation	NOUN
ejpam-6556	177	4	(	(	PUNCT
ejpam-6556	177	5	2.8	2.8	NUM
ejpam-6556	177	6	)	)	PUNCT
ejpam-6556	177	7	when	when	SCONJ
ejpam-6556	177	8	the	the	DET
ejpam-6556	177	9	function	function	NOUN
ejpam-6556	177	10	is	be	AUX
ejpam-6556	177	11	constant	constant	ADJ
ejpam-6556	177	12	we	we	PRON
ejpam-6556	177	13	get	get	VERB
ejpam-6556	177	14	zero	zero	NUM
ejpam-6556	177	15	.	.	PUNCT
ejpam-6556	178	1	the	the	DET
ejpam-6556	178	2	related	relate	VERB
ejpam-6556	178	3	fractional	fractional	ADJ
ejpam-6556	178	4	integral	integral	ADJ
ejpam-6556	178	5	operator	operator	NOUN
ejpam-6556	178	6	has	have	AUX
ejpam-6556	178	7	been	be	AUX
ejpam-6556	178	8	defined	define	VERB
ejpam-6556	178	9	by	by	ADP
ejpam-6556	178	10	atangana	atangana	PROPN
ejpam-6556	178	11	-	-	PUNCT
ejpam-6556	178	12	baleanu	baleanu	PROPN
ejpam-6556	178	13	as	as	SCONJ
ejpam-6556	178	14	follows	follow	VERB
ejpam-6556	178	15	.	.	PUNCT
ejpam-6556	179	1	definition	definition	NOUN
ejpam-6556	179	2	6	6	NUM
ejpam-6556	179	3	.	.	PUNCT
ejpam-6556	180	1	[	[	X
ejpam-6556	180	2	49	49	NUM
ejpam-6556	180	3	]	]	PUNCT
ejpam-6556	180	4	the	the	DET
ejpam-6556	180	5	fractional	fractional	ADJ
ejpam-6556	180	6	integral	integral	ADJ
ejpam-6556	180	7	associated	associate	VERB
ejpam-6556	180	8	to	to	ADP
ejpam-6556	180	9	the	the	DET
ejpam-6556	180	10	new	new	ADJ
ejpam-6556	180	11	fractional	fractional	ADJ
ejpam-6556	180	12	derivative	derivative	NOUN
ejpam-6556	180	13	with	with	ADP
ejpam-6556	180	14	non	non	ADJ
ejpam-6556	180	15	-	-	ADJ
ejpam-6556	180	16	local	local	ADJ
ejpam-6556	180	17	kernel	kernel	NOUN
ejpam-6556	180	18	of	of	ADP
ejpam-6556	180	19	a	a	DET
ejpam-6556	180	20	function	function	NOUN
ejpam-6556	180	21	λ	λ	X
ejpam-6556	180	22	∈	∈	PROPN
ejpam-6556	180	23	h1(la	h1(la	PROPN
ejpam-6556	180	24	,	,	PUNCT
ejpam-6556	180	25	lb	lb	NUM
ejpam-6556	180	26	)	)	PUNCT
ejpam-6556	180	27	is	be	AUX
ejpam-6556	180	28	defined	define	VERB
ejpam-6556	180	29	:	:	PUNCT
ejpam-6556	180	30	ab	ab	PROPN
ejpam-6556	180	31	la	la	PROPN
ejpam-6556	180	32	iγ{λ(t	iγ{λ(t	PROPN
ejpam-6556	180	33	)	)	PUNCT
ejpam-6556	180	34	}	}	PUNCT
ejpam-6556	181	1	=	=	SYM
ejpam-6556	181	2	1−	1−	NUM
ejpam-6556	181	3	γ	γ	X
ejpam-6556	181	4	b(γ	b(γ	PROPN
ejpam-6556	181	5	)	)	PUNCT
ejpam-6556	181	6	λ(t	λ(t	NOUN
ejpam-6556	181	7	)	)	PUNCT
ejpam-6556	182	1	+	+	CCONJ
ejpam-6556	182	2	γ	γ	PROPN
ejpam-6556	182	3	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	182	4	)	)	PUNCT
ejpam-6556	183	1	∫	∫	PROPN
ejpam-6556	183	2	t	t	PROPN
ejpam-6556	183	3	la	la	X
ejpam-6556	184	1	λ(y)(t−	λ(y)(t−	PROPN
ejpam-6556	184	2	y)γ−1dy	y)γ−1dy	NOUN
ejpam-6556	184	3	,	,	PUNCT
ejpam-6556	184	4	where	where	SCONJ
ejpam-6556	184	5	b	b	X
ejpam-6556	184	6	>	>	X
ejpam-6556	184	7	a	a	X
ejpam-6556	184	8	,	,	PUNCT
ejpam-6556	184	9	γ	γ	PROPN
ejpam-6556	184	10	∈	∈	PROPN
ejpam-6556	184	11	(	(	PUNCT
ejpam-6556	184	12	0	0	NUM
ejpam-6556	184	13	,	,	PUNCT
ejpam-6556	184	14	1	1	NUM
ejpam-6556	184	15	]	]	PUNCT
ejpam-6556	184	16	.	.	PUNCT
ejpam-6556	185	1	in	in	ADP
ejpam-6556	185	2	[	[	X
ejpam-6556	185	3	50	50	NUM
ejpam-6556	185	4	]	]	PUNCT
ejpam-6556	185	5	,	,	PUNCT
ejpam-6556	185	6	abdeljawad	abdeljawad	NOUN
ejpam-6556	185	7	and	and	CCONJ
ejpam-6556	185	8	baleanu	baleanu	NOUN
ejpam-6556	185	9	introduced	introduce	VERB
ejpam-6556	185	10	right	right	ADJ
ejpam-6556	185	11	hand	hand	NOUN
ejpam-6556	185	12	side	side	NOUN
ejpam-6556	185	13	of	of	ADP
ejpam-6556	185	14	the	the	DET
ejpam-6556	185	15	integral	integral	ADJ
ejpam-6556	185	16	operator	operator	NOUN
ejpam-6556	185	17	as	as	SCONJ
ejpam-6556	185	18	follows	follow	VERB
ejpam-6556	185	19	:	:	PUNCT
ejpam-6556	185	20	the	the	DET
ejpam-6556	185	21	right	right	ADJ
ejpam-6556	185	22	fractional	fractional	ADJ
ejpam-6556	185	23	new	new	ADJ
ejpam-6556	185	24	integral	integral	ADJ
ejpam-6556	185	25	with	with	ADP
ejpam-6556	185	26	mittag	mittag	ADJ
ejpam-6556	185	27	-	-	PUNCT
ejpam-6556	185	28	leffler	leffler	NOUN
ejpam-6556	185	29	kernel	kernel	NOUN
ejpam-6556	185	30	of	of	ADP
ejpam-6556	185	31	order	order	NOUN
ejpam-6556	185	32	γ	γ	X
ejpam-6556	185	33	∈	∈	X
ejpam-6556	185	34	(	(	PUNCT
ejpam-6556	185	35	0	0	NUM
ejpam-6556	185	36	,	,	PUNCT
ejpam-6556	185	37	1	1	NUM
ejpam-6556	185	38	]	]	PUNCT
ejpam-6556	185	39	is	be	AUX
ejpam-6556	185	40	defined	define	VERB
ejpam-6556	185	41	by	by	ADP
ejpam-6556	185	42	abiγlb{λ(t	abiγlb{λ(t	NOUN
ejpam-6556	185	43	)	)	PUNCT
ejpam-6556	185	44	}	}	PUNCT
ejpam-6556	186	1	=	=	SYM
ejpam-6556	186	2	1−	1−	NUM
ejpam-6556	186	3	γ	γ	X
ejpam-6556	186	4	b(γ	b(γ	PROPN
ejpam-6556	186	5	)	)	PUNCT
ejpam-6556	186	6	λ(t	λ(t	NOUN
ejpam-6556	186	7	)	)	PUNCT
ejpam-6556	187	1	+	+	CCONJ
ejpam-6556	187	2	γ	γ	PROPN
ejpam-6556	187	3	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	187	4	)	)	PUNCT
ejpam-6556	187	5	∫	∫	PROPN
ejpam-6556	187	6	lb	lb	NUM
ejpam-6556	187	7	t	t	PROPN
ejpam-6556	187	8	λ(y)(y	λ(y)(y	NUM
ejpam-6556	187	9	−	−	PROPN
ejpam-6556	187	10	t)γ−1dy	t)γ−1dy	NOUN
ejpam-6556	187	11	.	.	PUNCT
ejpam-6556	188	1	3	3	X
ejpam-6556	188	2	.	.	X
ejpam-6556	188	3	the	the	DET
ejpam-6556	188	4	major	major	ADJ
ejpam-6556	188	5	results	result	NOUN
ejpam-6556	188	6	in	in	ADP
ejpam-6556	188	7	this	this	DET
ejpam-6556	188	8	section	section	NOUN
ejpam-6556	188	9	,	,	PUNCT
ejpam-6556	188	10	we	we	PRON
ejpam-6556	188	11	present	present	VERB
ejpam-6556	188	12	our	our	PRON
ejpam-6556	188	13	main	main	ADJ
ejpam-6556	188	14	results	result	NOUN
ejpam-6556	188	15	.	.	PUNCT
ejpam-6556	189	1	3.1	3.1	NUM
ejpam-6556	189	2	.	.	PUNCT
ejpam-6556	189	3	generalized	generalize	VERB
ejpam-6556	189	4	convex	convex	NOUN
ejpam-6556	189	5	function	function	NOUN
ejpam-6556	189	6	and	and	CCONJ
ejpam-6556	189	7	its	its	PRON
ejpam-6556	189	8	properties	property	NOUN
ejpam-6556	189	9	in	in	ADP
ejpam-6556	189	10	this	this	DET
ejpam-6556	189	11	section	section	NOUN
ejpam-6556	189	12	,	,	PUNCT
ejpam-6556	189	13	we	we	PRON
ejpam-6556	189	14	utilize	utilize	VERB
ejpam-6556	189	15	the	the	DET
ejpam-6556	189	16	definition	definition	NOUN
ejpam-6556	189	17	3	3	NUM
ejpam-6556	189	18	and	and	CCONJ
ejpam-6556	189	19	examine	examine	VERB
ejpam-6556	189	20	some	some	PRON
ejpam-6556	189	21	of	of	ADP
ejpam-6556	189	22	its	its	PRON
ejpam-6556	189	23	algebraic	algebraic	ADJ
ejpam-6556	189	24	properties	property	NOUN
ejpam-6556	189	25	.	.	PUNCT
ejpam-6556	190	1	theorem	theorem	VERB
ejpam-6556	190	2	4	4	NUM
ejpam-6556	190	3	.	.	PUNCT
ejpam-6556	191	1	if	if	SCONJ
ejpam-6556	191	2	λ1	λ1	ADJ
ejpam-6556	191	3	,	,	PUNCT
ejpam-6556	191	4	λ2	λ2	NOUN
ejpam-6556	191	5	are	be	AUX
ejpam-6556	191	6	two	two	NUM
ejpam-6556	191	7	gcf	gcf	PROPN
ejpam-6556	191	8	,	,	PUNCT
ejpam-6556	191	9	then	then	ADV
ejpam-6556	191	10	(	(	PUNCT
ejpam-6556	191	11	λ1	λ1	ADJ
ejpam-6556	191	12	+	+	SYM
ejpam-6556	191	13	λ2	λ2	NOUN
ejpam-6556	191	14	)	)	PUNCT
ejpam-6556	191	15	is	be	AUX
ejpam-6556	191	16	also	also	ADV
ejpam-6556	191	17	an	an	DET
ejpam-6556	191	18	gcf	gcf	PROPN
ejpam-6556	191	19	.	.	PUNCT
ejpam-6556	192	1	proof	proof	NOUN
ejpam-6556	192	2	.	.	PUNCT
ejpam-6556	193	1	since	since	SCONJ
ejpam-6556	193	2	given	give	VERB
ejpam-6556	193	3	that	that	PRON
ejpam-6556	193	4	λ1	λ1	ADJ
ejpam-6556	193	5	and	and	CCONJ
ejpam-6556	193	6	λ2	λ2	NOUN
ejpam-6556	193	7	be	be	VERB
ejpam-6556	193	8	two	two	NUM
ejpam-6556	193	9	gcf	gcf	PROPN
ejpam-6556	193	10	,	,	PUNCT
ejpam-6556	193	11	then	then	ADV
ejpam-6556	193	12	(	(	PUNCT
ejpam-6556	193	13	λ1	λ1	ADJ
ejpam-6556	193	14	+	+	SYM
ejpam-6556	193	15	λ2	λ2	NOUN
ejpam-6556	193	16	)	)	PUNCT
ejpam-6556	193	17	(	(	PUNCT
ejpam-6556	193	18	la	la	X
ejpam-6556	193	19	+	+	NUM
ejpam-6556	193	20	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	193	21	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	193	22	−	−	PROPN
ejpam-6556	193	23	la	la	NOUN
ejpam-6556	193	24	)	)	PUNCT
ejpam-6556	193	25	)	)	PUNCT
ejpam-6556	194	1	=	=	SYM
ejpam-6556	195	1	λ1(la	λ1(la	PROPN
ejpam-6556	195	2	+	+	NUM
ejpam-6556	195	3	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	195	4	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	195	5	−	−	PROPN
ejpam-6556	195	6	la	la	NOUN
ejpam-6556	195	7	)	)	PUNCT
ejpam-6556	195	8	)	)	PUNCT
ejpam-6556	196	1	+	+	CCONJ
ejpam-6556	196	2	λ2(la	λ2(la	PUNCT
ejpam-6556	196	3	+	+	NUM
ejpam-6556	196	4	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	196	5	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	196	6	−	−	PROPN
ejpam-6556	196	7	la	la	NOUN
ejpam-6556	196	8	)	)	PUNCT
ejpam-6556	196	9	)	)	PUNCT
ejpam-6556	197	1	≤	≤	NOUN
ejpam-6556	197	2	(	(	PUNCT
ejpam-6556	197	3	1−	1−	NUM
ejpam-6556	197	4	x	x	SYM
ejpam-6556	197	5	)	)	PUNCT
ejpam-6556	197	6	λ1	λ1	PROPN
ejpam-6556	197	7	(	(	PUNCT
ejpam-6556	197	8	la	la	NOUN
ejpam-6556	197	9	)	)	PUNCT
ejpam-6556	198	1	+	+	CCONJ
ejpam-6556	198	2	xλ1	xλ1	PROPN
ejpam-6556	198	3	(	(	PUNCT
ejpam-6556	198	4	lb	lb	NOUN
ejpam-6556	198	5	)	)	PUNCT
ejpam-6556	198	6	+	+	CCONJ
ejpam-6556	198	7	(	(	PUNCT
ejpam-6556	198	8	1−	1−	NUM
ejpam-6556	198	9	x	x	NOUN
ejpam-6556	198	10	)	)	PUNCT
ejpam-6556	198	11	λ2	λ2	NOUN
ejpam-6556	198	12	(	(	PUNCT
ejpam-6556	198	13	la	la	NOUN
ejpam-6556	198	14	)	)	PUNCT
ejpam-6556	198	15	+	+	CCONJ
ejpam-6556	198	16	xλ2	xλ2	PROPN
ejpam-6556	198	17	(	(	PUNCT
ejpam-6556	198	18	lb	lb	NOUN
ejpam-6556	198	19	)	)	PUNCT
ejpam-6556	198	20	=	=	SYM
ejpam-6556	198	21	(	(	PUNCT
ejpam-6556	198	22	1−	1−	NUM
ejpam-6556	198	23	x	x	NOUN
ejpam-6556	198	24	)	)	PUNCT
ejpam-6556	199	1	[	[	X
ejpam-6556	199	2	λ1	λ1	X
ejpam-6556	199	3	(	(	PUNCT
ejpam-6556	199	4	la	la	NOUN
ejpam-6556	199	5	)	)	PUNCT
ejpam-6556	199	6	+	+	NUM
ejpam-6556	199	7	λ2	λ2	NOUN
ejpam-6556	199	8	(	(	PUNCT
ejpam-6556	199	9	la	la	NOUN
ejpam-6556	199	10	)	)	PUNCT
ejpam-6556	199	11	]	]	PUNCT
ejpam-6556	200	1	+	+	CCONJ
ejpam-6556	200	2	x	x	PUNCT
ejpam-6556	201	1	[	[	X
ejpam-6556	201	2	λ1	λ1	X
ejpam-6556	201	3	(	(	PUNCT
ejpam-6556	201	4	lb	lb	NOUN
ejpam-6556	201	5	)	)	PUNCT
ejpam-6556	201	6	+	+	NUM
ejpam-6556	201	7	λ2	λ2	NOUN
ejpam-6556	201	8	(	(	PUNCT
ejpam-6556	201	9	lb	lb	NOUN
ejpam-6556	201	10	)	)	PUNCT
ejpam-6556	201	11	]	]	PUNCT
ejpam-6556	202	1	=	=	PUNCT
ejpam-6556	202	2	(	(	PUNCT
ejpam-6556	202	3	1−	1−	NUM
ejpam-6556	202	4	x	x	NOUN
ejpam-6556	202	5	)	)	PUNCT
ejpam-6556	202	6	(	(	PUNCT
ejpam-6556	202	7	λ1	λ1	PROPN
ejpam-6556	202	8	+	+	CCONJ
ejpam-6556	202	9	λ2)(la	λ2)(la	PROPN
ejpam-6556	202	10	)	)	PUNCT
ejpam-6556	203	1	+	+	CCONJ
ejpam-6556	203	2	x(λ1	x(λ1	X
ejpam-6556	203	3	+	+	CCONJ
ejpam-6556	203	4	λ2)(lb	λ2)(lb	PROPN
ejpam-6556	203	5	)	)	PUNCT
ejpam-6556	203	6	.	.	PUNCT
ejpam-6556	204	1	this	this	PRON
ejpam-6556	204	2	completes	complete	VERB
ejpam-6556	204	3	the	the	DET
ejpam-6556	204	4	proof	proof	NOUN
ejpam-6556	204	5	.	.	PUNCT
ejpam-6556	205	1	theorem	theorem	ADJ
ejpam-6556	205	2	5	5	NUM
ejpam-6556	205	3	.	.	PUNCT
ejpam-6556	206	1	if	if	SCONJ
ejpam-6556	206	2	λ	λ	PROPN
ejpam-6556	206	3	is	be	AUX
ejpam-6556	206	4	gcf	gcf	PROPN
ejpam-6556	206	5	,	,	PUNCT
ejpam-6556	206	6	then	then	ADV
ejpam-6556	206	7	(	(	PUNCT
ejpam-6556	206	8	cλ	cλ	NOUN
ejpam-6556	206	9	)	)	PUNCT
ejpam-6556	206	10	is	be	AUX
ejpam-6556	206	11	also	also	ADV
ejpam-6556	206	12	an	an	DET
ejpam-6556	206	13	gcf	gcf	PROPN
ejpam-6556	206	14	.	.	PUNCT
ejpam-6556	207	1	proof	proof	NOUN
ejpam-6556	207	2	.	.	PUNCT
ejpam-6556	208	1	since	since	SCONJ
ejpam-6556	208	2	λ	λ	PROPN
ejpam-6556	208	3	is	be	AUX
ejpam-6556	208	4	gcf	gcf	PROPN
ejpam-6556	208	5	,	,	PUNCT
ejpam-6556	208	6	and	and	CCONJ
ejpam-6556	208	7	c	c	NOUN
ejpam-6556	208	8	is	be	AUX
ejpam-6556	208	9	any	any	DET
ejpam-6556	208	10	constant	constant	ADJ
ejpam-6556	208	11	number	number	NOUN
ejpam-6556	208	12	,	,	PUNCT
ejpam-6556	208	13	then	then	ADV
ejpam-6556	208	14	(	(	PUNCT
ejpam-6556	208	15	cλ	cλ	PROPN
ejpam-6556	208	16	)	)	PUNCT
ejpam-6556	208	17	(	(	PUNCT
ejpam-6556	208	18	la	la	X
ejpam-6556	208	19	+	+	X
ejpam-6556	208	20	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	209	1	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	209	2	−	−	PROPN
ejpam-6556	209	3	la	la	NOUN
ejpam-6556	209	4	)	)	PUNCT
ejpam-6556	209	5	)	)	PUNCT
ejpam-6556	210	1	≤	≤	NUM
ejpam-6556	210	2	c	c	NOUN
ejpam-6556	210	3	(	(	PUNCT
ejpam-6556	210	4	(	(	PUNCT
ejpam-6556	210	5	1−	1−	NUM
ejpam-6556	210	6	x	x	NOUN
ejpam-6556	210	7	)	)	PUNCT
ejpam-6556	210	8	λ	λ	PROPN
ejpam-6556	210	9	(	(	PUNCT
ejpam-6556	210	10	la	la	PROPN
ejpam-6556	210	11	)	)	PUNCT
ejpam-6556	210	12	+	+	NUM
ejpam-6556	210	13	xλ	xλ	PROPN
ejpam-6556	210	14	(	(	PUNCT
ejpam-6556	210	15	lb	lb	NOUN
ejpam-6556	210	16	)	)	PUNCT
ejpam-6556	210	17	)	)	PUNCT
ejpam-6556	210	18	m.	m.	NOUN
ejpam-6556	210	19	tariq	tariq	PROPN
ejpam-6556	210	20	et	et	PROPN
ejpam-6556	210	21	al	al	PROPN
ejpam-6556	210	22	.	.	PUNCT
ejpam-6556	210	23	/	/	SYM
ejpam-6556	210	24	eur	eur	PROPN
ejpam-6556	210	25	.	.	PUNCT
ejpam-6556	211	1	j.	j.	PROPN
ejpam-6556	211	2	pure	pure	PROPN
ejpam-6556	211	3	appl	appl	PROPN
ejpam-6556	211	4	.	.	PROPN
ejpam-6556	211	5	math	math	PROPN
ejpam-6556	211	6	,	,	PUNCT
ejpam-6556	211	7	18	18	NUM
ejpam-6556	211	8	(	(	PUNCT
ejpam-6556	211	9	3	3	NUM
ejpam-6556	211	10	)	)	PUNCT
ejpam-6556	211	11	(	(	PUNCT
ejpam-6556	211	12	2025	2025	NUM
ejpam-6556	211	13	)	)	PUNCT
ejpam-6556	211	14	,	,	PUNCT
ejpam-6556	211	15	6556	6556	NUM
ejpam-6556	211	16	8	8	NUM
ejpam-6556	211	17	of	of	ADP
ejpam-6556	211	18	28	28	NUM
ejpam-6556	211	19	=	=	SYM
ejpam-6556	211	20	(	(	PUNCT
ejpam-6556	211	21	1−	1−	NUM
ejpam-6556	211	22	x	x	NOUN
ejpam-6556	211	23	)	)	PUNCT
ejpam-6556	211	24	cλ	cλ	PROPN
ejpam-6556	211	25	(	(	PUNCT
ejpam-6556	211	26	la	la	NOUN
ejpam-6556	211	27	)	)	PUNCT
ejpam-6556	212	1	+	+	NUM
ejpam-6556	212	2	xcλ	xcλ	PROPN
ejpam-6556	212	3	(	(	PUNCT
ejpam-6556	212	4	lb	lb	NOUN
ejpam-6556	212	5	)	)	PUNCT
ejpam-6556	212	6	=	=	SYM
ejpam-6556	212	7	(	(	PUNCT
ejpam-6556	212	8	1−	1−	NUM
ejpam-6556	212	9	x	x	NOUN
ejpam-6556	212	10	)	)	PUNCT
ejpam-6556	212	11	(	(	PUNCT
ejpam-6556	212	12	cλ	cλ	PROPN
ejpam-6556	212	13	)	)	PUNCT
ejpam-6556	212	14	(	(	PUNCT
ejpam-6556	212	15	la	la	PROPN
ejpam-6556	212	16	)	)	PUNCT
ejpam-6556	212	17	+	+	CCONJ
ejpam-6556	212	18	x(cλ	x(cλ	NOUN
ejpam-6556	212	19	)	)	PUNCT
ejpam-6556	212	20	(	(	PUNCT
ejpam-6556	212	21	lb	lb	NOUN
ejpam-6556	212	22	)	)	PUNCT
ejpam-6556	212	23	.	.	PUNCT
ejpam-6556	213	1	this	this	PRON
ejpam-6556	213	2	completes	complete	VERB
ejpam-6556	213	3	the	the	DET
ejpam-6556	213	4	proof	proof	NOUN
ejpam-6556	213	5	.	.	PUNCT
ejpam-6556	214	1	theorem	theorem	VERB
ejpam-6556	214	2	6	6	NUM
ejpam-6556	214	3	.	.	PUNCT
ejpam-6556	214	4	composition	composition	NOUN
ejpam-6556	214	5	of	of	ADP
ejpam-6556	214	6	two	two	NUM
ejpam-6556	214	7	gcf	gcf	PROPN
ejpam-6556	214	8	is	be	AUX
ejpam-6556	214	9	also	also	ADV
ejpam-6556	214	10	an	an	DET
ejpam-6556	214	11	gcf	gcf	PROPN
ejpam-6556	214	12	.	.	PUNCT
ejpam-6556	215	1	proof	proof	NOUN
ejpam-6556	215	2	.	.	PUNCT
ejpam-6556	216	1	(	(	PUNCT
ejpam-6556	216	2	λ2	λ2	NOUN
ejpam-6556	216	3	◦	◦	NOUN
ejpam-6556	216	4	λ1	λ1	NUM
ejpam-6556	216	5	)	)	PUNCT
ejpam-6556	216	6	(	(	PUNCT
ejpam-6556	216	7	la	la	X
ejpam-6556	216	8	+	+	NUM
ejpam-6556	216	9	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	217	1	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	217	2	−	−	PROPN
ejpam-6556	217	3	la	la	NOUN
ejpam-6556	217	4	)	)	PUNCT
ejpam-6556	217	5	)	)	PUNCT
ejpam-6556	218	1	=	=	PUNCT
ejpam-6556	219	1	λ2(λ1(la	λ2(λ1(la	X
ejpam-6556	220	1	+	+	CCONJ
ejpam-6556	220	2	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	220	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	220	4	−	−	PROPN
ejpam-6556	220	5	la	la	PROPN
ejpam-6556	220	6	)	)	PUNCT
ejpam-6556	220	7	)	)	PUNCT
ejpam-6556	220	8	)	)	PUNCT
ejpam-6556	221	1	≤	≤	NUM
ejpam-6556	221	2	λ2	λ2	NOUN
ejpam-6556	221	3	(	(	PUNCT
ejpam-6556	221	4	(	(	PUNCT
ejpam-6556	221	5	1−	1−	NUM
ejpam-6556	221	6	x	x	NOUN
ejpam-6556	221	7	)	)	PUNCT
ejpam-6556	221	8	λ1	λ1	PROPN
ejpam-6556	221	9	(	(	PUNCT
ejpam-6556	221	10	la	la	NOUN
ejpam-6556	221	11	)	)	PUNCT
ejpam-6556	221	12	+	+	CCONJ
ejpam-6556	221	13	xλ1	xλ1	PROPN
ejpam-6556	221	14	(	(	PUNCT
ejpam-6556	221	15	lb	lb	NOUN
ejpam-6556	221	16	)	)	PUNCT
ejpam-6556	221	17	)	)	PUNCT
ejpam-6556	221	18	≤	≤	NOUN
ejpam-6556	221	19	(	(	PUNCT
ejpam-6556	221	20	1−	1−	NUM
ejpam-6556	221	21	x	x	NOUN
ejpam-6556	221	22	)	)	PUNCT
ejpam-6556	221	23	λ2(λ1	λ2(λ1	X
ejpam-6556	221	24	(	(	PUNCT
ejpam-6556	221	25	la	la	NOUN
ejpam-6556	221	26	)	)	PUNCT
ejpam-6556	221	27	)	)	PUNCT
ejpam-6556	222	1	+	+	CCONJ
ejpam-6556	222	2	xλ2(λ1	xλ2(λ1	X
ejpam-6556	222	3	(	(	PUNCT
ejpam-6556	222	4	lb	lb	NOUN
ejpam-6556	222	5	)	)	PUNCT
ejpam-6556	222	6	)	)	PUNCT
ejpam-6556	222	7	=	=	PUNCT
ejpam-6556	223	1	(	(	PUNCT
ejpam-6556	223	2	1−	1−	NUM
ejpam-6556	223	3	x	x	NOUN
ejpam-6556	223	4	)	)	PUNCT
ejpam-6556	223	5	(	(	PUNCT
ejpam-6556	223	6	λ2	λ2	NOUN
ejpam-6556	223	7	◦	◦	NOUN
ejpam-6556	223	8	λ1	λ1	NUM
ejpam-6556	223	9	)	)	PUNCT
ejpam-6556	223	10	(	(	PUNCT
ejpam-6556	223	11	la	la	PROPN
ejpam-6556	223	12	)	)	PUNCT
ejpam-6556	223	13	+	+	NUM
ejpam-6556	223	14	x(λ2	x(λ2	X
ejpam-6556	223	15	◦	◦	NOUN
ejpam-6556	223	16	λ1	λ1	NUM
ejpam-6556	223	17	)	)	PUNCT
ejpam-6556	223	18	(	(	PUNCT
ejpam-6556	223	19	lb	lb	NOUN
ejpam-6556	223	20	)	)	PUNCT
ejpam-6556	223	21	.	.	PUNCT
ejpam-6556	224	1	this	this	PRON
ejpam-6556	224	2	completes	complete	VERB
ejpam-6556	224	3	the	the	DET
ejpam-6556	224	4	desired	desire	VERB
ejpam-6556	224	5	proof	proof	NOUN
ejpam-6556	224	6	.	.	PUNCT
ejpam-6556	225	1	theorem	theorem	VERB
ejpam-6556	225	2	7	7	NUM
ejpam-6556	225	3	.	.	PUNCT
ejpam-6556	226	1	let	let	VERB
ejpam-6556	226	2	0	0	NUM
ejpam-6556	226	3	<	<	X
ejpam-6556	226	4	la	la	X
ejpam-6556	226	5	<	<	X
ejpam-6556	226	6	lb	lb	PROPN
ejpam-6556	226	7	,	,	PUNCT
ejpam-6556	226	8	λj	λj	INTJ
ejpam-6556	226	9	:	:	PUNCT
ejpam-6556	226	10	x	x	X
ejpam-6556	226	11	=	=	PUNCT
ejpam-6556	227	1	[	[	X
ejpam-6556	227	2	la	la	X
ejpam-6556	227	3	,	,	PUNCT
ejpam-6556	227	4	lb	lb	NOUN
ejpam-6556	227	5	]	]	X
ejpam-6556	227	6	→	→	X
ejpam-6556	227	7	[	[	X
ejpam-6556	227	8	0,+∞	0,+∞	NUM
ejpam-6556	227	9	)	)	PUNCT
ejpam-6556	227	10	be	be	VERB
ejpam-6556	227	11	a	a	DET
ejpam-6556	227	12	family	family	NOUN
ejpam-6556	227	13	of	of	ADP
ejpam-6556	227	14	gcf	gcf	PROPN
ejpam-6556	227	15	and	and	CCONJ
ejpam-6556	227	16	λ(u	λ(u	PROPN
ejpam-6556	227	17	)	)	PUNCT
ejpam-6556	227	18	=	=	SYM
ejpam-6556	227	19	supj	supj	NOUN
ejpam-6556	227	20	λj(u	λj(u	NOUN
ejpam-6556	227	21	)	)	PUNCT
ejpam-6556	227	22	.	.	PUNCT
ejpam-6556	228	1	then	then	ADV
ejpam-6556	228	2	,	,	PUNCT
ejpam-6556	228	3	λ	λ	PROPN
ejpam-6556	228	4	is	be	AUX
ejpam-6556	228	5	an	an	DET
ejpam-6556	228	6	gcf	gcf	PROPN
ejpam-6556	228	7	for	for	ADP
ejpam-6556	228	8	m	m	PROPN
ejpam-6556	228	9	∈	∈	PROPN
ejpam-6556	228	10	(	(	PUNCT
ejpam-6556	228	11	0	0	NUM
ejpam-6556	228	12	,	,	PUNCT
ejpam-6556	228	13	1	1	NUM
ejpam-6556	228	14	]	]	PUNCT
ejpam-6556	228	15	,	,	PUNCT
ejpam-6556	228	16	x	x	SYM
ejpam-6556	228	17	∈	∈	PROPN
ejpam-6556	229	1	[	[	X
ejpam-6556	229	2	0	0	NUM
ejpam-6556	229	3	,	,	PUNCT
ejpam-6556	229	4	1	1	NUM
ejpam-6556	229	5	]	]	PUNCT
ejpam-6556	229	6	,	,	PUNCT
ejpam-6556	229	7	and	and	CCONJ
ejpam-6556	229	8	u	u	NOUN
ejpam-6556	229	9	=	=	PUNCT
ejpam-6556	229	10	{	{	PUNCT
ejpam-6556	229	11	λ	λ	X
ejpam-6556	229	12	∈	∈	PROPN
ejpam-6556	230	1	[	[	X
ejpam-6556	230	2	la	la	X
ejpam-6556	230	3	,	,	PUNCT
ejpam-6556	230	4	lb	lb	PROPN
ejpam-6556	230	5	]	]	X
ejpam-6556	230	6	:	:	PUNCT
ejpam-6556	230	7	λ(λx	λ(λx	X
ejpam-6556	230	8	)	)	PUNCT
ejpam-6556	230	9	<	<	X
ejpam-6556	230	10	∞	∞	PROPN
ejpam-6556	230	11	}	}	PUNCT
ejpam-6556	230	12	is	be	AUX
ejpam-6556	230	13	an	an	DET
ejpam-6556	230	14	interval	interval	NOUN
ejpam-6556	230	15	.	.	PUNCT
ejpam-6556	231	1	proof	proof	NOUN
ejpam-6556	231	2	.	.	PUNCT
ejpam-6556	232	1	let	let	VERB
ejpam-6556	232	2	la	la	ADJ
ejpam-6556	232	3	,	,	PUNCT
ejpam-6556	232	4	lb	lb	DET
ejpam-6556	232	5	∈	∈	PROPN
ejpam-6556	232	6	u	u	NOUN
ejpam-6556	232	7	,	,	PUNCT
ejpam-6556	232	8	and	and	CCONJ
ejpam-6556	232	9	x	x	PUNCT
ejpam-6556	232	10	∈	∈	PROPN
ejpam-6556	233	1	[	[	X
ejpam-6556	233	2	0	0	NUM
ejpam-6556	233	3	,	,	PUNCT
ejpam-6556	233	4	1	1	NUM
ejpam-6556	233	5	]	]	PUNCT
ejpam-6556	233	6	,	,	PUNCT
ejpam-6556	233	7	then	then	ADV
ejpam-6556	233	8	λ(la	λ(la	X
ejpam-6556	233	9	+	+	CCONJ
ejpam-6556	233	10	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	233	11	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	233	12	−	−	PROPN
ejpam-6556	233	13	la	la	NOUN
ejpam-6556	233	14	)	)	PUNCT
ejpam-6556	233	15	)	)	PUNCT
ejpam-6556	234	1	=	=	PUNCT
ejpam-6556	234	2	sup	sup	NOUN
ejpam-6556	234	3	j	j	NOUN
ejpam-6556	234	4	λj(la	λj(la	X
ejpam-6556	234	5	+	+	CCONJ
ejpam-6556	234	6	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	234	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	234	8	−	−	PROPN
ejpam-6556	234	9	la	la	NOUN
ejpam-6556	234	10	)	)	PUNCT
ejpam-6556	234	11	)	)	PUNCT
ejpam-6556	234	12	≤	≤	NOUN
ejpam-6556	234	13	(	(	PUNCT
ejpam-6556	234	14	1−	1−	NUM
ejpam-6556	234	15	x	x	NOUN
ejpam-6556	234	16	)	)	PUNCT
ejpam-6556	234	17	sup	sup	PROPN
ejpam-6556	234	18	j	j	PROPN
ejpam-6556	234	19	λj	λj	PROPN
ejpam-6556	234	20	(	(	PUNCT
ejpam-6556	234	21	la	la	NOUN
ejpam-6556	234	22	)	)	PUNCT
ejpam-6556	235	1	+	+	CCONJ
ejpam-6556	235	2	x	x	SYM
ejpam-6556	235	3	sup	sup	NOUN
ejpam-6556	235	4	j	j	PROPN
ejpam-6556	235	5	λj	λj	PROPN
ejpam-6556	235	6	(	(	PUNCT
ejpam-6556	235	7	lb	lb	NOUN
ejpam-6556	235	8	)	)	PUNCT
ejpam-6556	235	9	=	=	SYM
ejpam-6556	235	10	(	(	PUNCT
ejpam-6556	235	11	1−	1−	NUM
ejpam-6556	235	12	x	x	SYM
ejpam-6556	235	13	)	)	PUNCT
ejpam-6556	235	14	λ	λ	PROPN
ejpam-6556	235	15	(	(	PUNCT
ejpam-6556	235	16	la	la	PROPN
ejpam-6556	235	17	)	)	PUNCT
ejpam-6556	235	18	+	+	NUM
ejpam-6556	235	19	xλ	xλ	PROPN
ejpam-6556	235	20	(	(	PUNCT
ejpam-6556	235	21	lb	lb	NOUN
ejpam-6556	235	22	)	)	PUNCT
ejpam-6556	235	23	<	<	X
ejpam-6556	235	24	∞.	∞.	PROPN
ejpam-6556	235	25	this	this	PRON
ejpam-6556	235	26	completes	complete	VERB
ejpam-6556	235	27	the	the	DET
ejpam-6556	235	28	proof	proof	NOUN
ejpam-6556	235	29	.	.	PUNCT
ejpam-6556	236	1	4	4	X
ejpam-6556	236	2	.	.	X
ejpam-6556	236	3	hermite	hermite	ADJ
ejpam-6556	236	4	–	–	PUNCT
ejpam-6556	236	5	hadamard	hadamard	ADJ
ejpam-6556	236	6	inequality	inequality	NOUN
ejpam-6556	236	7	pertaining	pertain	VERB
ejpam-6556	236	8	to	to	ADP
ejpam-6556	236	9	ab	ab	PROPN
ejpam-6556	236	10	fractional	fractional	ADJ
ejpam-6556	236	11	integral	integral	ADJ
ejpam-6556	236	12	operator	operator	NOUN
ejpam-6556	236	13	the	the	DET
ejpam-6556	236	14	main	main	ADJ
ejpam-6556	236	15	goal	goal	NOUN
ejpam-6556	236	16	of	of	ADP
ejpam-6556	236	17	this	this	DET
ejpam-6556	236	18	portion	portion	NOUN
ejpam-6556	236	19	is	be	AUX
ejpam-6556	236	20	to	to	PART
ejpam-6556	236	21	provide	provide	VERB
ejpam-6556	236	22	a	a	DET
ejpam-6556	236	23	new	new	ADJ
ejpam-6556	236	24	sort	sort	NOUN
ejpam-6556	236	25	of	of	ADP
ejpam-6556	236	26	the	the	DET
ejpam-6556	236	27	hermite	hermite	PROPN
ejpam-6556	236	28	-	-	PUNCT
ejpam-6556	236	29	hadamard	hadamard	ADJ
ejpam-6556	236	30	-	-	PUNCT
ejpam-6556	236	31	type	type	NOUN
ejpam-6556	236	32	inequality	inequality	NOUN
ejpam-6556	236	33	for	for	ADP
ejpam-6556	236	34	a	a	DET
ejpam-6556	236	35	gcf	gcf	PROPN
ejpam-6556	236	36	via	via	ADP
ejpam-6556	236	37	abfio	abfio	PROPN
ejpam-6556	236	38	.	.	PUNCT
ejpam-6556	237	1	theorem	theorem	VERB
ejpam-6556	237	2	8	8	NUM
ejpam-6556	237	3	.	.	PUNCT
ejpam-6556	238	1	let	let	VERB
ejpam-6556	238	2	i	i	PRON
ejpam-6556	238	3	⊆	⊆	NUM
ejpam-6556	238	4	r	r	NOUN
ejpam-6556	238	5	be	be	VERB
ejpam-6556	238	6	an	an	DET
ejpam-6556	238	7	open	open	ADJ
ejpam-6556	238	8	and	and	CCONJ
ejpam-6556	238	9	non	non	ADJ
ejpam-6556	238	10	-	-	ADJ
ejpam-6556	238	11	empty	empty	ADJ
ejpam-6556	238	12	convex	convex	NOUN
ejpam-6556	238	13	subset	subset	NOUN
ejpam-6556	238	14	and	and	CCONJ
ejpam-6556	238	15	la	la	NOUN
ejpam-6556	238	16	,	,	PUNCT
ejpam-6556	238	17	lb	lb	PRON
ejpam-6556	238	18	∈	∈	NOUN
ejpam-6556	238	19	i	i	X
ejpam-6556	238	20	with	with	ADP
ejpam-6556	238	21	la	la	X
ejpam-6556	238	22	<	<	X
ejpam-6556	238	23	mla+∆ϱ	mla+∆ϱ	PRON
ejpam-6556	238	24	ϵ,σ(lb−	ϵ,σ(lb−	PROPN
ejpam-6556	238	25	la	la	PROPN
ejpam-6556	238	26	)	)	PUNCT
ejpam-6556	238	27	.	.	PUNCT
ejpam-6556	239	1	if	if	SCONJ
ejpam-6556	239	2	λ	λ	X
ejpam-6556	239	3	:	:	PUNCT
ejpam-6556	239	4	[	[	X
ejpam-6556	239	5	la	la	X
ejpam-6556	239	6	,	,	PUNCT
ejpam-6556	239	7	la	la	PROPN
ejpam-6556	239	8	+	+	PROPN
ejpam-6556	239	9	∆ϱ	∆ϱ	PROPN
ejpam-6556	239	10	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	239	11	−	−	PROPN
ejpam-6556	239	12	la	la	PROPN
ejpam-6556	239	13	)	)	PUNCT
ejpam-6556	239	14	]	]	PUNCT
ejpam-6556	240	1	→	→	PUNCT
ejpam-6556	240	2	r	r	NOUN
ejpam-6556	240	3	is	be	AUX
ejpam-6556	240	4	a	a	DET
ejpam-6556	240	5	gcf	gcf	PROPN
ejpam-6556	240	6	,	,	PUNCT
ejpam-6556	240	7	λ	λ	X
ejpam-6556	240	8	∈	∈	NOUN
ejpam-6556	240	9	l	l	NOUN
ejpam-6556	241	1	[	[	X
ejpam-6556	241	2	la	la	X
ejpam-6556	241	3	,	,	PUNCT
ejpam-6556	241	4	la	la	PROPN
ejpam-6556	241	5	+	+	PROPN
ejpam-6556	241	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	241	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	241	8	−	−	PROPN
ejpam-6556	241	9	la	la	PROPN
ejpam-6556	241	10	)	)	PUNCT
ejpam-6556	241	11	]	]	PUNCT
ejpam-6556	241	12	and	and	CCONJ
ejpam-6556	241	13	∆ϱ	∆ϱ	NOUN
ejpam-6556	241	14	ϵ,σ	ϵ,σ	PROPN
ejpam-6556	241	15	satisfies	satisfie	NOUN
ejpam-6556	241	16	condition	condition	NOUN
ejpam-6556	241	17	c	c	NOUN
ejpam-6556	241	18	,	,	PUNCT
ejpam-6556	241	19	the	the	DET
ejpam-6556	241	20	following	follow	VERB
ejpam-6556	241	21	inequalities	inequality	NOUN
ejpam-6556	241	22	for	for	ADP
ejpam-6556	241	23	abfio	abfio	PROPN
ejpam-6556	241	24	hold	hold	PROPN
ejpam-6556	241	25	λ	λ	PROPN
ejpam-6556	241	26	(	(	PUNCT
ejpam-6556	241	27	2la	2la	ADJ
ejpam-6556	241	28	+	+	PROPN
ejpam-6556	241	29	∆ϱ	∆ϱ	PROPN
ejpam-6556	241	30	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	241	31	−	−	PROPN
ejpam-6556	241	32	la	la	NOUN
ejpam-6556	241	33	)	)	PUNCT
ejpam-6556	241	34	2	2	NUM
ejpam-6556	241	35	)	)	PUNCT
ejpam-6556	241	36	≤	≤	NOUN
ejpam-6556	241	37	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	241	38	)	)	PUNCT
ejpam-6556	241	39	2	2	NUM
ejpam-6556	242	1	[	[	X
ejpam-6556	242	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	242	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	242	4	−	−	PROPN
ejpam-6556	242	5	la	la	PROPN
ejpam-6556	242	6	)	)	PUNCT
ejpam-6556	242	7	]	]	PUNCT
ejpam-6556	243	1	γ	γ	PROPN
ejpam-6556	243	2	[	[	PUNCT
ejpam-6556	243	3	ab	ab	X
ejpam-6556	243	4	la	la	PROPN
ejpam-6556	243	5	iγ	iγ	PROPN
ejpam-6556	243	6	{	{	PUNCT
ejpam-6556	243	7	λ	λ	X
ejpam-6556	243	8	(	(	PUNCT
ejpam-6556	243	9	la	la	PROPN
ejpam-6556	243	10	+	+	PROPN
ejpam-6556	243	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	243	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	243	13	−	−	PROPN
ejpam-6556	243	14	la	la	PROPN
ejpam-6556	243	15	)	)	PUNCT
ejpam-6556	243	16	)	)	PUNCT
ejpam-6556	243	17	}	}	PUNCT
ejpam-6556	244	1	+	+	NUM
ejpam-6556	244	2	abiγ	abiγ	NOUN
ejpam-6556	244	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	244	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	244	5	)	)	PUNCT
ejpam-6556	244	6	{	{	PUNCT
ejpam-6556	244	7	λ	λ	X
ejpam-6556	244	8	(	(	PUNCT
ejpam-6556	244	9	la	la	NOUN
ejpam-6556	244	10	)	)	PUNCT
ejpam-6556	244	11	}	}	PUNCT
ejpam-6556	244	12	]	]	PUNCT
ejpam-6556	245	1	m.	m.	NOUN
ejpam-6556	245	2	tariq	tariq	PROPN
ejpam-6556	245	3	et	et	PROPN
ejpam-6556	245	4	al	al	PROPN
ejpam-6556	245	5	.	.	PUNCT
ejpam-6556	245	6	/	/	SYM
ejpam-6556	245	7	eur	eur	PROPN
ejpam-6556	245	8	.	.	PUNCT
ejpam-6556	246	1	j.	j.	PROPN
ejpam-6556	246	2	pure	pure	PROPN
ejpam-6556	246	3	appl	appl	PROPN
ejpam-6556	246	4	.	.	PROPN
ejpam-6556	246	5	math	math	PROPN
ejpam-6556	246	6	,	,	PUNCT
ejpam-6556	246	7	18	18	NUM
ejpam-6556	246	8	(	(	PUNCT
ejpam-6556	246	9	3	3	NUM
ejpam-6556	246	10	)	)	PUNCT
ejpam-6556	246	11	(	(	PUNCT
ejpam-6556	246	12	2025	2025	NUM
ejpam-6556	246	13	)	)	PUNCT
ejpam-6556	246	14	,	,	PUNCT
ejpam-6556	246	15	6556	6556	NUM
ejpam-6556	246	16	9	9	NUM
ejpam-6556	246	17	of	of	ADP
ejpam-6556	246	18	28	28	NUM
ejpam-6556	246	19	−	−	PROPN
ejpam-6556	246	20	(	(	PUNCT
ejpam-6556	246	21	1−	1−	NUM
ejpam-6556	246	22	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	246	23	)	)	PUNCT
ejpam-6556	246	24	2	2	NUM
ejpam-6556	247	1	[	[	X
ejpam-6556	247	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	247	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	247	4	−	−	PROPN
ejpam-6556	247	5	la	la	PROPN
ejpam-6556	247	6	)	)	PUNCT
ejpam-6556	247	7	]	]	PUNCT
ejpam-6556	247	8	γ	γ	PROPN
ejpam-6556	247	9	[	[	PUNCT
ejpam-6556	247	10	λ	λ	X
ejpam-6556	247	11	(	(	PUNCT
ejpam-6556	247	12	la	la	ADJ
ejpam-6556	247	13	)	)	PUNCT
ejpam-6556	248	1	+	+	NUM
ejpam-6556	248	2	λ	λ	X
ejpam-6556	248	3	(	(	PUNCT
ejpam-6556	248	4	la	la	PROPN
ejpam-6556	248	5	+	+	PROPN
ejpam-6556	248	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	248	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	248	8	−	−	PROPN
ejpam-6556	248	9	la	la	PROPN
ejpam-6556	248	10	)	)	PUNCT
ejpam-6556	248	11	)	)	PUNCT
ejpam-6556	248	12	]	]	PUNCT
ejpam-6556	249	1	≤	≤	NUM
ejpam-6556	249	2	λ	λ	X
ejpam-6556	249	3	(	(	PUNCT
ejpam-6556	249	4	la	la	ADJ
ejpam-6556	249	5	)	)	PUNCT
ejpam-6556	249	6	+	+	NUM
ejpam-6556	249	7	λ	λ	X
ejpam-6556	249	8	(	(	PUNCT
ejpam-6556	249	9	lb	lb	NOUN
ejpam-6556	249	10	)	)	PUNCT
ejpam-6556	249	11	2	2	NUM
ejpam-6556	249	12	,	,	PUNCT
ejpam-6556	249	13	(	(	PUNCT
ejpam-6556	249	14	4.1	4.1	NUM
ejpam-6556	249	15	)	)	PUNCT
ejpam-6556	249	16	where	where	SCONJ
ejpam-6556	249	17	γ	γ	X
ejpam-6556	249	18	∈	∈	PROPN
ejpam-6556	249	19	(	(	PUNCT
ejpam-6556	249	20	0	0	NUM
ejpam-6556	249	21	,	,	PUNCT
ejpam-6556	249	22	1	1	NUM
ejpam-6556	249	23	]	]	PUNCT
ejpam-6556	249	24	,	,	PUNCT
ejpam-6556	249	25	b(γ	b(γ	PROPN
ejpam-6556	249	26	)	)	PUNCT
ejpam-6556	249	27	>	>	X
ejpam-6556	249	28	0	0	PUNCT
ejpam-6556	249	29	is	be	AUX
ejpam-6556	249	30	a	a	DET
ejpam-6556	249	31	normalization	normalization	NOUN
ejpam-6556	249	32	function	function	NOUN
ejpam-6556	249	33	,	,	PUNCT
ejpam-6556	249	34	and	and	CCONJ
ejpam-6556	249	35	γ	γ	X
ejpam-6556	249	36	(	(	PUNCT
ejpam-6556	249	37	·	·	PUNCT
ejpam-6556	249	38	)	)	PUNCT
ejpam-6556	249	39	denotes	denote	VERB
ejpam-6556	249	40	the	the	DET
ejpam-6556	249	41	gamma	gamma	PROPN
ejpam-6556	249	42	function	function	NOUN
ejpam-6556	249	43	.	.	PUNCT
ejpam-6556	250	1	proof	proof	NOUN
ejpam-6556	250	2	.	.	PUNCT
ejpam-6556	251	1	since	since	SCONJ
ejpam-6556	251	2	λ	λ	PROPN
ejpam-6556	251	3	is	be	AUX
ejpam-6556	251	4	gcf	gcf	PROPN
ejpam-6556	251	5	on	on	ADP
ejpam-6556	251	6	[	[	X
ejpam-6556	251	7	la	la	X
ejpam-6556	251	8	,	,	PUNCT
ejpam-6556	251	9	la	la	PROPN
ejpam-6556	251	10	+	+	PROPN
ejpam-6556	251	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	251	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	251	13	−	−	PROPN
ejpam-6556	251	14	la	la	PROPN
ejpam-6556	251	15	)	)	PUNCT
ejpam-6556	251	16	]	]	PUNCT
ejpam-6556	251	17	,	,	PUNCT
ejpam-6556	251	18	we	we	PRON
ejpam-6556	251	19	can	can	AUX
ejpam-6556	251	20	write	write	VERB
ejpam-6556	251	21	2λ	2λ	NOUN
ejpam-6556	251	22	(	(	PUNCT
ejpam-6556	252	1	2la	2la	ADJ
ejpam-6556	252	2	+	+	PROPN
ejpam-6556	252	3	∆ϱ	∆ϱ	PROPN
ejpam-6556	252	4	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	252	5	−	−	PROPN
ejpam-6556	252	6	la	la	NOUN
ejpam-6556	252	7	)	)	PUNCT
ejpam-6556	252	8	2	2	NUM
ejpam-6556	252	9	)	)	PUNCT
ejpam-6556	252	10	≤	≤	NOUN
ejpam-6556	252	11	λ	λ	PROPN
ejpam-6556	252	12	(	(	PUNCT
ejpam-6556	252	13	la	la	X
ejpam-6556	252	14	+	+	X
ejpam-6556	252	15	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	252	16	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	252	17	−	−	PROPN
ejpam-6556	252	18	la	la	NOUN
ejpam-6556	252	19	)	)	PUNCT
ejpam-6556	252	20	)	)	PUNCT
ejpam-6556	253	1	+	+	CCONJ
ejpam-6556	253	2	λ	λ	X
ejpam-6556	253	3	(	(	PUNCT
ejpam-6556	253	4	la	la	X
ejpam-6556	253	5	+	+	X
ejpam-6556	253	6	(	(	PUNCT
ejpam-6556	253	7	1−	1−	NUM
ejpam-6556	253	8	x)∆ϱ	x)∆ϱ	PROPN
ejpam-6556	253	9	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	253	10	−	−	PROPN
ejpam-6556	253	11	la	la	PROPN
ejpam-6556	253	12	)	)	PUNCT
ejpam-6556	253	13	)	)	PUNCT
ejpam-6556	253	14	.	.	PUNCT
ejpam-6556	254	1	(	(	PUNCT
ejpam-6556	254	2	4.2	4.2	X
ejpam-6556	254	3	)	)	PUNCT
ejpam-6556	254	4	multiplying	multiply	VERB
ejpam-6556	254	5	both	both	DET
ejpam-6556	254	6	sides	side	NOUN
ejpam-6556	254	7	of	of	ADP
ejpam-6556	254	8	inequality	inequality	NOUN
ejpam-6556	254	9	(	(	PUNCT
ejpam-6556	254	10	4.2	4.2	NUM
ejpam-6556	254	11	)	)	PUNCT
ejpam-6556	254	12	by	by	ADP
ejpam-6556	254	13	γ	γ	X
ejpam-6556	254	14	b(γ	b(γ	PROPN
ejpam-6556	254	15	)	)	PUNCT
ejpam-6556	254	16	γ(γ	γ(γ	PROPN
ejpam-6556	254	17	)	)	PUNCT
ejpam-6556	254	18	xγ−1	xγ−1	PROPN
ejpam-6556	254	19	and	and	CCONJ
ejpam-6556	254	20	integrating	integrate	VERB
ejpam-6556	254	21	the	the	DET
ejpam-6556	254	22	resulting	result	VERB
ejpam-6556	254	23	expression	expression	NOUN
ejpam-6556	254	24	with	with	ADP
ejpam-6556	254	25	respect	respect	NOUN
ejpam-6556	254	26	to	to	ADP
ejpam-6556	254	27	x	x	PUNCT
ejpam-6556	254	28	over	over	ADP
ejpam-6556	254	29	the	the	DET
ejpam-6556	254	30	interval	interval	NOUN
ejpam-6556	254	31	[	[	X
ejpam-6556	254	32	0	0	NUM
ejpam-6556	254	33	,	,	PUNCT
ejpam-6556	254	34	1	1	NUM
ejpam-6556	254	35	]	]	PUNCT
ejpam-6556	254	36	,	,	PUNCT
ejpam-6556	254	37	we	we	PRON
ejpam-6556	254	38	obtain	obtain	VERB
ejpam-6556	254	39	2	2	NUM
ejpam-6556	254	40	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	254	41	)	)	PUNCT
ejpam-6556	254	42	λ	λ	NOUN
ejpam-6556	254	43	(	(	PUNCT
ejpam-6556	254	44	2la	2la	ADJ
ejpam-6556	254	45	+	+	PROPN
ejpam-6556	254	46	∆ϱ	∆ϱ	PROPN
ejpam-6556	254	47	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	254	48	−	−	PROPN
ejpam-6556	254	49	la	la	NOUN
ejpam-6556	254	50	)	)	PUNCT
ejpam-6556	254	51	2	2	NUM
ejpam-6556	254	52	)	)	PUNCT
ejpam-6556	254	53	≤	≤	NOUN
ejpam-6556	254	54	γ	γ	NOUN
ejpam-6556	254	55	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	254	56	)	)	PUNCT
ejpam-6556	254	57	∫	∫	PROPN
ejpam-6556	254	58	1	1	NUM
ejpam-6556	254	59	0	0	NUM
ejpam-6556	254	60	xγ−1λ	xγ−1λ	PROPN
ejpam-6556	254	61	(	(	PUNCT
ejpam-6556	254	62	la	la	X
ejpam-6556	254	63	+	+	NUM
ejpam-6556	254	64	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	254	65	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	254	66	−	−	PROPN
ejpam-6556	254	67	la	la	PROPN
ejpam-6556	254	68	)	)	PUNCT
ejpam-6556	254	69	)	)	PUNCT
ejpam-6556	254	70	dx	dx	PROPN
ejpam-6556	255	1	+	+	CCONJ
ejpam-6556	255	2	γ	γ	X
ejpam-6556	255	3	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	255	4	)	)	PUNCT
ejpam-6556	255	5	∫	∫	PROPN
ejpam-6556	255	6	1	1	NUM
ejpam-6556	255	7	0	0	NUM
ejpam-6556	255	8	tγ−1λ	tγ−1λ	NUM
ejpam-6556	255	9	(	(	PUNCT
ejpam-6556	255	10	la	la	X
ejpam-6556	255	11	+	+	X
ejpam-6556	255	12	(	(	PUNCT
ejpam-6556	255	13	1−	1−	NUM
ejpam-6556	255	14	x)∆ϱ	x)∆ϱ	PROPN
ejpam-6556	255	15	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	255	16	−	−	PROPN
ejpam-6556	255	17	la	la	PROPN
ejpam-6556	255	18	)	)	PUNCT
ejpam-6556	255	19	)	)	PUNCT
ejpam-6556	256	1	dx	dx	PROPN
ejpam-6556	257	1	=	=	PUNCT
ejpam-6556	257	2	γ	γ	X
ejpam-6556	257	3	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	257	4	)	)	PUNCT
ejpam-6556	258	1	[	[	X
ejpam-6556	258	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	258	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	258	4	−	−	PROPN
ejpam-6556	258	5	la	la	PROPN
ejpam-6556	258	6	)	)	PUNCT
ejpam-6556	258	7	]	]	PUNCT
ejpam-6556	258	8	γ	γ	PROPN
ejpam-6556	258	9	∫	∫	PROPN
ejpam-6556	258	10	la+∆ϱ	la+∆ϱ	PROPN
ejpam-6556	258	11	ϵ,σ(lb−mla	ϵ,σ(lb−mla	PROPN
ejpam-6556	258	12	)	)	PUNCT
ejpam-6556	258	13	la	la	PROPN
ejpam-6556	258	14	(	(	PUNCT
ejpam-6556	258	15	x−	x−	PROPN
ejpam-6556	258	16	la	la	PROPN
ejpam-6556	258	17	)	)	PUNCT
ejpam-6556	259	1	γ−1	γ−1	PROPN
ejpam-6556	259	2	λ(x)dx	λ(x)dx	PART
ejpam-6556	259	3	+	+	NUM
ejpam-6556	259	4	γ	γ	NOUN
ejpam-6556	259	5	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	259	6	)	)	PUNCT
ejpam-6556	260	1	[	[	X
ejpam-6556	260	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	260	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	260	4	−	−	PROPN
ejpam-6556	260	5	la	la	PROPN
ejpam-6556	260	6	)	)	PUNCT
ejpam-6556	260	7	]	]	PUNCT
ejpam-6556	260	8	γ	γ	PROPN
ejpam-6556	260	9	∫	∫	PROPN
ejpam-6556	260	10	la+∆ϱ	la+∆ϱ	PROPN
ejpam-6556	260	11	ϵ,σ(lb−la	ϵ,σ(lb−la	PROPN
ejpam-6556	260	12	)	)	PUNCT
ejpam-6556	260	13	la	la	NOUN
ejpam-6556	260	14	(	(	PUNCT
ejpam-6556	260	15	la	la	X
ejpam-6556	260	16	+	+	PROPN
ejpam-6556	260	17	∆ϱ	∆ϱ	PROPN
ejpam-6556	260	18	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	260	19	−	−	PROPN
ejpam-6556	260	20	la)−	la)−	NOUN
ejpam-6556	260	21	y	y	X
ejpam-6556	260	22	)	)	PUNCT
ejpam-6556	261	1	γ−1	γ−1	PROPN
ejpam-6556	261	2	λ(y)dy	λ(y)dy	PROPN
ejpam-6556	261	3	.	.	PUNCT
ejpam-6556	262	1	then	then	ADV
ejpam-6556	262	2	we	we	PRON
ejpam-6556	262	3	can	can	AUX
ejpam-6556	262	4	write	write	VERB
ejpam-6556	262	5	2	2	NUM
ejpam-6556	262	6	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	262	7	)	)	PUNCT
ejpam-6556	262	8	λ	λ	NOUN
ejpam-6556	262	9	(	(	PUNCT
ejpam-6556	262	10	2la	2la	ADJ
ejpam-6556	262	11	+	+	PROPN
ejpam-6556	262	12	∆ϱ	∆ϱ	PROPN
ejpam-6556	262	13	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	262	14	−	−	PROPN
ejpam-6556	262	15	la	la	NOUN
ejpam-6556	262	16	)	)	PUNCT
ejpam-6556	262	17	2	2	NUM
ejpam-6556	262	18	)	)	PUNCT
ejpam-6556	262	19	≤	≤	NOUN
ejpam-6556	262	20	1	1	NUM
ejpam-6556	263	1	[	[	X
ejpam-6556	263	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	263	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	263	4	−	−	PROPN
ejpam-6556	263	5	la	la	PROPN
ejpam-6556	263	6	)	)	PUNCT
ejpam-6556	263	7	]	]	PUNCT
ejpam-6556	264	1	γ	γ	PROPN
ejpam-6556	264	2	[	[	PUNCT
ejpam-6556	264	3	γ	γ	X
ejpam-6556	264	4	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	264	5	)	)	PUNCT
ejpam-6556	264	6	∫	∫	PROPN
ejpam-6556	264	7	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	264	8	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	264	9	)	)	PUNCT
ejpam-6556	264	10	la	la	PROPN
ejpam-6556	264	11	(	(	PUNCT
ejpam-6556	264	12	x−	x−	PROPN
ejpam-6556	264	13	la	la	PROPN
ejpam-6556	264	14	)	)	PUNCT
ejpam-6556	265	1	γ−1	γ−1	PROPN
ejpam-6556	265	2	λ(x)dx+	λ(x)dx+	NOUN
ejpam-6556	265	3	(	(	PUNCT
ejpam-6556	265	4	1−	1−	NUM
ejpam-6556	265	5	γ	γ	X
ejpam-6556	265	6	)	)	PUNCT
ejpam-6556	265	7	b(γ	b(γ	PROPN
ejpam-6556	265	8	)	)	PUNCT
ejpam-6556	265	9	λ	λ	PROPN
ejpam-6556	265	10	(	(	PUNCT
ejpam-6556	265	11	la	la	PROPN
ejpam-6556	265	12	)	)	PUNCT
ejpam-6556	265	13	]	]	PUNCT
ejpam-6556	266	1	−	−	PROPN
ejpam-6556	266	2	(	(	PUNCT
ejpam-6556	266	3	1−	1−	NUM
ejpam-6556	266	4	γ	γ	X
ejpam-6556	266	5	)	)	PUNCT
ejpam-6556	266	6	b(γ	b(γ	PROPN
ejpam-6556	266	7	)	)	PUNCT
ejpam-6556	267	1	[	[	X
ejpam-6556	267	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	267	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	267	4	−	−	PROPN
ejpam-6556	267	5	la	la	PROPN
ejpam-6556	267	6	)	)	PUNCT
ejpam-6556	267	7	]	]	PUNCT
ejpam-6556	268	1	γλ	γλ	INTJ
ejpam-6556	268	2	(	(	PUNCT
ejpam-6556	268	3	la	la	PROPN
ejpam-6556	268	4	)	)	PUNCT
ejpam-6556	268	5	+	+	CCONJ
ejpam-6556	268	6	1	1	NUM
ejpam-6556	268	7	[	[	X
ejpam-6556	268	8	∆ϱ	∆ϱ	PROPN
ejpam-6556	268	9	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	268	10	−	−	PROPN
ejpam-6556	268	11	la	la	PROPN
ejpam-6556	268	12	)	)	PUNCT
ejpam-6556	268	13	]	]	PUNCT
ejpam-6556	269	1	γ	γ	PROPN
ejpam-6556	269	2	[	[	PUNCT
ejpam-6556	269	3	γ	γ	X
ejpam-6556	269	4	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	269	5	)	)	PUNCT
ejpam-6556	269	6	∫	∫	PROPN
ejpam-6556	269	7	la+∆ϱ	la+∆ϱ	PROPN
ejpam-6556	269	8	ϵ,σ(lb−mla	ϵ,σ(lb−mla	PROPN
ejpam-6556	269	9	)	)	PUNCT
ejpam-6556	269	10	la	la	PROPN
ejpam-6556	269	11	(	(	PUNCT
ejpam-6556	269	12	la	la	PROPN
ejpam-6556	269	13	+	+	PROPN
ejpam-6556	269	14	∆ϱ	∆ϱ	PROPN
ejpam-6556	269	15	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	269	16	−	−	PROPN
ejpam-6556	269	17	la)−	la)−	NOUN
ejpam-6556	269	18	y	y	X
ejpam-6556	269	19	)	)	PUNCT
ejpam-6556	269	20	γ−1	γ−1	PROPN
ejpam-6556	269	21	λ(y)dy	λ(y)dy	X
ejpam-6556	269	22	+	+	CCONJ
ejpam-6556	269	23	(	(	PUNCT
ejpam-6556	269	24	1−	1−	NUM
ejpam-6556	269	25	γ	γ	X
ejpam-6556	269	26	)	)	PUNCT
ejpam-6556	269	27	b(γ	b(γ	PROPN
ejpam-6556	269	28	)	)	PUNCT
ejpam-6556	269	29	λ	λ	PROPN
ejpam-6556	269	30	(	(	PUNCT
ejpam-6556	269	31	la	la	PROPN
ejpam-6556	269	32	+	+	PROPN
ejpam-6556	269	33	∆ϱ	∆ϱ	PROPN
ejpam-6556	269	34	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	269	35	−	−	PROPN
ejpam-6556	269	36	la	la	PROPN
ejpam-6556	269	37	)	)	PUNCT
ejpam-6556	269	38	)	)	PUNCT
ejpam-6556	269	39	]	]	PUNCT
ejpam-6556	270	1	−	−	PROPN
ejpam-6556	270	2	(	(	PUNCT
ejpam-6556	270	3	1−	1−	NUM
ejpam-6556	270	4	γ	γ	X
ejpam-6556	270	5	)	)	PUNCT
ejpam-6556	270	6	b(γ	b(γ	PROPN
ejpam-6556	270	7	)	)	PUNCT
ejpam-6556	271	1	[	[	X
ejpam-6556	271	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	271	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	271	4	−	−	PROPN
ejpam-6556	271	5	la	la	PROPN
ejpam-6556	271	6	)	)	PUNCT
ejpam-6556	271	7	]	]	PUNCT
ejpam-6556	272	1	γλ	γλ	INTJ
ejpam-6556	272	2	(	(	PUNCT
ejpam-6556	272	3	la	la	PROPN
ejpam-6556	272	4	+	+	PROPN
ejpam-6556	272	5	∆ϱ	∆ϱ	PROPN
ejpam-6556	272	6	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	272	7	−	−	PROPN
ejpam-6556	272	8	la	la	PROPN
ejpam-6556	272	9	)	)	PUNCT
ejpam-6556	272	10	)	)	PUNCT
ejpam-6556	272	11	.	.	PUNCT
ejpam-6556	273	1	m.	m.	NOUN
ejpam-6556	273	2	tariq	tariq	PROPN
ejpam-6556	273	3	et	et	PROPN
ejpam-6556	273	4	al	al	PROPN
ejpam-6556	273	5	.	.	PUNCT
ejpam-6556	273	6	/	/	SYM
ejpam-6556	273	7	eur	eur	PROPN
ejpam-6556	273	8	.	.	PUNCT
ejpam-6556	274	1	j.	j.	PROPN
ejpam-6556	274	2	pure	pure	PROPN
ejpam-6556	274	3	appl	appl	PROPN
ejpam-6556	274	4	.	.	PROPN
ejpam-6556	274	5	math	math	PROPN
ejpam-6556	274	6	,	,	PUNCT
ejpam-6556	274	7	18	18	NUM
ejpam-6556	274	8	(	(	PUNCT
ejpam-6556	274	9	3	3	NUM
ejpam-6556	274	10	)	)	PUNCT
ejpam-6556	274	11	(	(	PUNCT
ejpam-6556	274	12	2025	2025	NUM
ejpam-6556	274	13	)	)	PUNCT
ejpam-6556	274	14	,	,	PUNCT
ejpam-6556	274	15	6556	6556	NUM
ejpam-6556	274	16	10	10	NUM
ejpam-6556	274	17	of	of	ADP
ejpam-6556	274	18	28	28	NUM
ejpam-6556	274	19	so	so	ADV
ejpam-6556	274	20	,	,	PUNCT
ejpam-6556	274	21	using	use	VERB
ejpam-6556	274	22	abfio	abfio	PROPN
ejpam-6556	274	23	,	,	PUNCT
ejpam-6556	274	24	we	we	PRON
ejpam-6556	274	25	get	get	VERB
ejpam-6556	274	26	2	2	NUM
ejpam-6556	274	27	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	274	28	)	)	PUNCT
ejpam-6556	274	29	λ	λ	NOUN
ejpam-6556	274	30	(	(	PUNCT
ejpam-6556	274	31	2la	2la	ADJ
ejpam-6556	274	32	+	+	PROPN
ejpam-6556	274	33	∆ϱ	∆ϱ	PROPN
ejpam-6556	274	34	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	274	35	−	−	PROPN
ejpam-6556	274	36	la	la	NOUN
ejpam-6556	274	37	)	)	PUNCT
ejpam-6556	274	38	2	2	NUM
ejpam-6556	274	39	)	)	PUNCT
ejpam-6556	274	40	≤	≤	NOUN
ejpam-6556	274	41	1	1	NUM
ejpam-6556	275	1	[	[	X
ejpam-6556	275	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	275	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	275	4	−	−	PROPN
ejpam-6556	275	5	la	la	PROPN
ejpam-6556	275	6	)	)	PUNCT
ejpam-6556	275	7	]	]	PUNCT
ejpam-6556	276	1	γ	γ	PROPN
ejpam-6556	276	2	[	[	PUNCT
ejpam-6556	276	3	ab	ab	X
ejpam-6556	276	4	la	la	PROPN
ejpam-6556	276	5	iγ	iγ	PROPN
ejpam-6556	276	6	{	{	PUNCT
ejpam-6556	276	7	λ	λ	X
ejpam-6556	276	8	(	(	PUNCT
ejpam-6556	276	9	la	la	PROPN
ejpam-6556	276	10	+	+	PROPN
ejpam-6556	276	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	276	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	276	13	−	−	PROPN
ejpam-6556	276	14	la	la	PROPN
ejpam-6556	276	15	)	)	PUNCT
ejpam-6556	276	16	)	)	PUNCT
ejpam-6556	276	17	}	}	PUNCT
ejpam-6556	277	1	+	+	NUM
ejpam-6556	277	2	abiγ	abiγ	NOUN
ejpam-6556	277	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	277	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	277	5	)	)	PUNCT
ejpam-6556	277	6	{	{	PUNCT
ejpam-6556	277	7	λ	λ	X
ejpam-6556	277	8	(	(	PUNCT
ejpam-6556	277	9	la	la	NOUN
ejpam-6556	277	10	)	)	PUNCT
ejpam-6556	277	11	}	}	PUNCT
ejpam-6556	277	12	]	]	PUNCT
ejpam-6556	277	13	−	−	PROPN
ejpam-6556	277	14	(	(	PUNCT
ejpam-6556	277	15	1−	1−	NUM
ejpam-6556	277	16	γ	γ	X
ejpam-6556	277	17	)	)	PUNCT
ejpam-6556	277	18	b(γ	b(γ	PROPN
ejpam-6556	277	19	)	)	PUNCT
ejpam-6556	278	1	[	[	X
ejpam-6556	278	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	278	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	278	4	−	−	PROPN
ejpam-6556	278	5	la	la	PROPN
ejpam-6556	278	6	)	)	PUNCT
ejpam-6556	278	7	]	]	PUNCT
ejpam-6556	278	8	γ	γ	PROPN
ejpam-6556	278	9	[	[	PUNCT
ejpam-6556	278	10	λ	λ	X
ejpam-6556	278	11	(	(	PUNCT
ejpam-6556	278	12	la	la	ADJ
ejpam-6556	278	13	)	)	PUNCT
ejpam-6556	279	1	+	+	NUM
ejpam-6556	279	2	λ	λ	X
ejpam-6556	279	3	(	(	PUNCT
ejpam-6556	279	4	la	la	PROPN
ejpam-6556	279	5	+	+	PROPN
ejpam-6556	279	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	279	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	279	8	−	−	PROPN
ejpam-6556	279	9	la	la	PROPN
ejpam-6556	279	10	)	)	PUNCT
ejpam-6556	279	11	)	)	PUNCT
ejpam-6556	279	12	]	]	PUNCT
ejpam-6556	279	13	and	and	CCONJ
ejpam-6556	279	14	the	the	DET
ejpam-6556	279	15	first	first	ADJ
ejpam-6556	279	16	inequality	inequality	NOUN
ejpam-6556	279	17	is	be	AUX
ejpam-6556	279	18	proved	prove	VERB
ejpam-6556	279	19	.	.	PUNCT
ejpam-6556	280	1	for	for	ADP
ejpam-6556	280	2	the	the	DET
ejpam-6556	280	3	proof	proof	NOUN
ejpam-6556	280	4	of	of	ADP
ejpam-6556	280	5	the	the	DET
ejpam-6556	280	6	second	second	ADJ
ejpam-6556	280	7	inequality	inequality	NOUN
ejpam-6556	280	8	in	in	ADP
ejpam-6556	280	9	the	the	DET
ejpam-6556	280	10	above	above	ADJ
ejpam-6556	280	11	inequality	inequality	NOUN
ejpam-6556	280	12	(	(	PUNCT
ejpam-6556	280	13	4.1	4.1	NUM
ejpam-6556	280	14	)	)	PUNCT
ejpam-6556	280	15	,	,	PUNCT
ejpam-6556	280	16	we	we	PRON
ejpam-6556	280	17	first	first	ADV
ejpam-6556	280	18	note	note	VERB
ejpam-6556	280	19	that	that	SCONJ
ejpam-6556	280	20	if	if	SCONJ
ejpam-6556	280	21	λ	λ	PROPN
ejpam-6556	280	22	is	be	AUX
ejpam-6556	280	23	a	a	DET
ejpam-6556	280	24	gcf	gcf	PROPN
ejpam-6556	280	25	,	,	PUNCT
ejpam-6556	280	26	then	then	ADV
ejpam-6556	280	27	we	we	PRON
ejpam-6556	280	28	can	can	AUX
ejpam-6556	280	29	write	write	VERB
ejpam-6556	280	30	λ	λ	PROPN
ejpam-6556	280	31	(	(	PUNCT
ejpam-6556	280	32	la	la	X
ejpam-6556	280	33	+	+	X
ejpam-6556	280	34	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	280	35	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	280	36	−	−	PROPN
ejpam-6556	280	37	la	la	NOUN
ejpam-6556	280	38	)	)	PUNCT
ejpam-6556	280	39	)	)	PUNCT
ejpam-6556	280	40	≤	≤	NOUN
ejpam-6556	280	41	(	(	PUNCT
ejpam-6556	280	42	1−	1−	NUM
ejpam-6556	280	43	x)λ	x)λ	PUNCT
ejpam-6556	280	44	(	(	PUNCT
ejpam-6556	280	45	la	la	PROPN
ejpam-6556	280	46	)	)	PUNCT
ejpam-6556	280	47	+	+	NUM
ejpam-6556	280	48	xλ	xλ	PROPN
ejpam-6556	280	49	(	(	PUNCT
ejpam-6556	280	50	lb	lb	NOUN
ejpam-6556	280	51	)	)	PUNCT
ejpam-6556	280	52	and	and	CCONJ
ejpam-6556	280	53	λ	λ	X
ejpam-6556	280	54	(	(	PUNCT
ejpam-6556	280	55	la	la	X
ejpam-6556	280	56	+	+	X
ejpam-6556	280	57	(	(	PUNCT
ejpam-6556	280	58	1−	1−	NUM
ejpam-6556	280	59	x)∆ϱ	x)∆ϱ	PROPN
ejpam-6556	280	60	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	280	61	−	−	PROPN
ejpam-6556	280	62	la	la	PROPN
ejpam-6556	280	63	)	)	PUNCT
ejpam-6556	280	64	)	)	PUNCT
ejpam-6556	281	1	≤	≤	PROPN
ejpam-6556	281	2	mxλ	mxλ	X
ejpam-6556	281	3	(	(	PUNCT
ejpam-6556	281	4	la	la	NOUN
ejpam-6556	281	5	)	)	PUNCT
ejpam-6556	281	6	+	+	CCONJ
ejpam-6556	281	7	(	(	PUNCT
ejpam-6556	281	8	1−	1−	NUM
ejpam-6556	281	9	x)λ	x)λ	PUNCT
ejpam-6556	281	10	(	(	PUNCT
ejpam-6556	281	11	lb	lb	NOUN
ejpam-6556	281	12	)	)	PUNCT
ejpam-6556	281	13	.	.	PUNCT
ejpam-6556	282	1	by	by	ADP
ejpam-6556	282	2	summing	sum	VERB
ejpam-6556	282	3	the	the	DET
ejpam-6556	282	4	above	above	ADJ
ejpam-6556	282	5	inequalities	inequality	NOUN
ejpam-6556	282	6	term	term	NOUN
ejpam-6556	282	7	by	by	ADP
ejpam-6556	282	8	term	term	NOUN
ejpam-6556	282	9	,	,	PUNCT
ejpam-6556	282	10	we	we	PRON
ejpam-6556	282	11	arrive	arrive	VERB
ejpam-6556	282	12	at	at	ADP
ejpam-6556	282	13	λ	λ	PROPN
ejpam-6556	282	14	(	(	PUNCT
ejpam-6556	282	15	la	la	X
ejpam-6556	282	16	+	+	X
ejpam-6556	282	17	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	282	18	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	282	19	−	−	PROPN
ejpam-6556	282	20	la	la	NOUN
ejpam-6556	282	21	)	)	PUNCT
ejpam-6556	282	22	)	)	PUNCT
ejpam-6556	283	1	+	+	CCONJ
ejpam-6556	284	1	λ	λ	X
ejpam-6556	284	2	(	(	PUNCT
ejpam-6556	284	3	la	la	X
ejpam-6556	284	4	+	+	X
ejpam-6556	284	5	(	(	PUNCT
ejpam-6556	284	6	1−	1−	NUM
ejpam-6556	284	7	x)∆ϱ	x)∆ϱ	PROPN
ejpam-6556	284	8	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	284	9	−	−	PROPN
ejpam-6556	284	10	la	la	PROPN
ejpam-6556	284	11	)	)	PUNCT
ejpam-6556	284	12	)	)	PUNCT
ejpam-6556	285	1	≤	≤	NUM
ejpam-6556	285	2	λ	λ	X
ejpam-6556	285	3	(	(	PUNCT
ejpam-6556	285	4	la	la	ADJ
ejpam-6556	285	5	)	)	PUNCT
ejpam-6556	285	6	+	+	NUM
ejpam-6556	285	7	λ	λ	X
ejpam-6556	285	8	(	(	PUNCT
ejpam-6556	285	9	lb	lb	NOUN
ejpam-6556	285	10	)	)	PUNCT
ejpam-6556	285	11	.	.	PUNCT
ejpam-6556	286	1	(	(	PUNCT
ejpam-6556	286	2	4.3	4.3	NUM
ejpam-6556	286	3	)	)	PUNCT
ejpam-6556	286	4	next	next	ADV
ejpam-6556	286	5	,	,	PUNCT
ejpam-6556	286	6	we	we	PRON
ejpam-6556	286	7	multiply	multiply	VERB
ejpam-6556	286	8	both	both	DET
ejpam-6556	286	9	sides	side	NOUN
ejpam-6556	286	10	of	of	ADP
ejpam-6556	286	11	inequality	inequality	NOUN
ejpam-6556	286	12	(	(	PUNCT
ejpam-6556	286	13	4.3	4.3	NUM
ejpam-6556	286	14	)	)	PUNCT
ejpam-6556	286	15	by	by	ADP
ejpam-6556	286	16	γ	γ	NOUN
ejpam-6556	286	17	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	286	18	)	)	PUNCT
ejpam-6556	286	19	xγ−1	xγ−1	PROPN
ejpam-6556	286	20	and	and	CCONJ
ejpam-6556	286	21	integrate	integrate	VERB
ejpam-6556	286	22	the	the	DET
ejpam-6556	286	23	resulting	result	VERB
ejpam-6556	286	24	expression	expression	NOUN
ejpam-6556	286	25	with	with	ADP
ejpam-6556	286	26	respect	respect	NOUN
ejpam-6556	286	27	to	to	ADP
ejpam-6556	286	28	x	x	PUNCT
ejpam-6556	286	29	over	over	ADP
ejpam-6556	286	30	the	the	DET
ejpam-6556	286	31	interval	interval	NOUN
ejpam-6556	286	32	[	[	X
ejpam-6556	286	33	0	0	NUM
ejpam-6556	286	34	,	,	PUNCT
ejpam-6556	286	35	1	1	NUM
ejpam-6556	286	36	]	]	PUNCT
ejpam-6556	286	37	.	.	PUNCT
ejpam-6556	287	1	this	this	PRON
ejpam-6556	287	2	yields	yield	VERB
ejpam-6556	287	3	γ	γ	NOUN
ejpam-6556	287	4	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	287	5	)	)	PUNCT
ejpam-6556	287	6	∫	∫	PROPN
ejpam-6556	287	7	1	1	NUM
ejpam-6556	287	8	0	0	NUM
ejpam-6556	287	9	xγ−1λ	xγ−1λ	PROPN
ejpam-6556	287	10	(	(	PUNCT
ejpam-6556	287	11	la	la	X
ejpam-6556	287	12	+	+	NUM
ejpam-6556	287	13	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	287	14	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	287	15	−	−	PROPN
ejpam-6556	287	16	la	la	PROPN
ejpam-6556	287	17	)	)	PUNCT
ejpam-6556	287	18	)	)	PUNCT
ejpam-6556	288	1	dx	dx	PROPN
ejpam-6556	289	1	+	+	CCONJ
ejpam-6556	289	2	γ	γ	X
ejpam-6556	289	3	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	289	4	)	)	PUNCT
ejpam-6556	289	5	∫	∫	PROPN
ejpam-6556	289	6	1	1	NUM
ejpam-6556	289	7	0	0	NUM
ejpam-6556	289	8	xγ−1λ	xγ−1λ	PROPN
ejpam-6556	289	9	(	(	PUNCT
ejpam-6556	289	10	la	la	X
ejpam-6556	289	11	+	+	X
ejpam-6556	289	12	(	(	PUNCT
ejpam-6556	289	13	1−	1−	NUM
ejpam-6556	289	14	x)∆ϱ	x)∆ϱ	PROPN
ejpam-6556	289	15	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	289	16	−	−	PROPN
ejpam-6556	289	17	la	la	PROPN
ejpam-6556	289	18	)	)	PUNCT
ejpam-6556	289	19	)	)	PUNCT
ejpam-6556	289	20	dx	dx	PROPN
ejpam-6556	289	21	≤	≤	NUM
ejpam-6556	289	22	γ	γ	X
ejpam-6556	289	23	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	289	24	)	)	PUNCT
ejpam-6556	290	1	[	[	X
ejpam-6556	290	2	λ	λ	X
ejpam-6556	290	3	(	(	PUNCT
ejpam-6556	290	4	la	la	ADJ
ejpam-6556	290	5	)	)	PUNCT
ejpam-6556	291	1	+	+	NUM
ejpam-6556	291	2	λ	λ	X
ejpam-6556	291	3	(	(	PUNCT
ejpam-6556	291	4	lb	lb	NOUN
ejpam-6556	291	5	)	)	PUNCT
ejpam-6556	291	6	]	]	PUNCT
ejpam-6556	291	7	∫	∫	PROPN
ejpam-6556	292	1	1	1	NUM
ejpam-6556	292	2	0	0	NUM
ejpam-6556	292	3	xγ−1dx	xγ−1dx	NUM
ejpam-6556	292	4	.	.	PUNCT
ejpam-6556	293	1	then	then	ADV
ejpam-6556	293	2	,	,	PUNCT
ejpam-6556	293	3	we	we	PRON
ejpam-6556	293	4	can	can	AUX
ejpam-6556	293	5	write	write	VERB
ejpam-6556	293	6	1	1	NUM
ejpam-6556	293	7	[	[	X
ejpam-6556	293	8	∆ϱ	∆ϱ	PROPN
ejpam-6556	293	9	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	293	10	−	−	PROPN
ejpam-6556	293	11	la	la	PROPN
ejpam-6556	293	12	)	)	PUNCT
ejpam-6556	293	13	]	]	PUNCT
ejpam-6556	294	1	γ	γ	PROPN
ejpam-6556	294	2	[	[	PUNCT
ejpam-6556	294	3	ab	ab	X
ejpam-6556	294	4	la	la	PROPN
ejpam-6556	294	5	iγ	iγ	PROPN
ejpam-6556	294	6	{	{	PUNCT
ejpam-6556	294	7	λ	λ	X
ejpam-6556	294	8	(	(	PUNCT
ejpam-6556	294	9	la	la	PROPN
ejpam-6556	294	10	+	+	PROPN
ejpam-6556	294	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	294	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	294	13	−	−	PROPN
ejpam-6556	294	14	la	la	PROPN
ejpam-6556	294	15	)	)	PUNCT
ejpam-6556	294	16	)	)	PUNCT
ejpam-6556	294	17	}	}	PUNCT
ejpam-6556	295	1	+	+	NUM
ejpam-6556	295	2	abiγ	abiγ	NOUN
ejpam-6556	295	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	295	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	295	5	)	)	PUNCT
ejpam-6556	295	6	{	{	PUNCT
ejpam-6556	295	7	λ	λ	X
ejpam-6556	295	8	(	(	PUNCT
ejpam-6556	295	9	la	la	NOUN
ejpam-6556	295	10	)	)	PUNCT
ejpam-6556	295	11	}	}	PUNCT
ejpam-6556	295	12	]	]	PUNCT
ejpam-6556	295	13	−	−	PROPN
ejpam-6556	295	14	(	(	PUNCT
ejpam-6556	295	15	1−	1−	NUM
ejpam-6556	295	16	γ	γ	X
ejpam-6556	295	17	)	)	PUNCT
ejpam-6556	295	18	b(γ	b(γ	PROPN
ejpam-6556	295	19	)	)	PUNCT
ejpam-6556	296	1	[	[	X
ejpam-6556	296	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	296	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	296	4	−	−	PROPN
ejpam-6556	296	5	la	la	PROPN
ejpam-6556	296	6	)	)	PUNCT
ejpam-6556	296	7	]	]	PUNCT
ejpam-6556	296	8	γ	γ	PROPN
ejpam-6556	296	9	[	[	PUNCT
ejpam-6556	296	10	λ	λ	X
ejpam-6556	296	11	(	(	PUNCT
ejpam-6556	296	12	la	la	ADJ
ejpam-6556	296	13	)	)	PUNCT
ejpam-6556	297	1	+	+	NUM
ejpam-6556	297	2	λ	λ	X
ejpam-6556	297	3	(	(	PUNCT
ejpam-6556	297	4	la	la	PROPN
ejpam-6556	297	5	+	+	PROPN
ejpam-6556	297	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	297	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	297	8	−	−	PROPN
ejpam-6556	297	9	la	la	PROPN
ejpam-6556	297	10	)	)	PUNCT
ejpam-6556	297	11	)	)	PUNCT
ejpam-6556	297	12	]	]	PUNCT
ejpam-6556	298	1	≤	≤	NUM
ejpam-6556	298	2	λ	λ	X
ejpam-6556	298	3	(	(	PUNCT
ejpam-6556	298	4	la	la	ADJ
ejpam-6556	298	5	)	)	PUNCT
ejpam-6556	298	6	+	+	NUM
ejpam-6556	298	7	λ	λ	X
ejpam-6556	298	8	(	(	PUNCT
ejpam-6556	298	9	lb	lb	NOUN
ejpam-6556	298	10	)	)	PUNCT
ejpam-6556	298	11	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	298	12	)	)	PUNCT
ejpam-6556	298	13	.	.	PUNCT
ejpam-6556	299	1	so	so	ADV
ejpam-6556	299	2	,	,	PUNCT
ejpam-6556	299	3	the	the	DET
ejpam-6556	299	4	proof	proof	NOUN
ejpam-6556	299	5	of	of	ADP
ejpam-6556	299	6	this	this	DET
ejpam-6556	299	7	theorem	theorem	NOUN
ejpam-6556	299	8	is	be	AUX
ejpam-6556	299	9	completed	complete	VERB
ejpam-6556	299	10	.	.	PUNCT
ejpam-6556	300	1	m.	m.	NOUN
ejpam-6556	300	2	tariq	tariq	PROPN
ejpam-6556	300	3	et	et	PROPN
ejpam-6556	300	4	al	al	PROPN
ejpam-6556	300	5	.	.	PUNCT
ejpam-6556	300	6	/	/	SYM
ejpam-6556	300	7	eur	eur	PROPN
ejpam-6556	300	8	.	.	PUNCT
ejpam-6556	301	1	j.	j.	PROPN
ejpam-6556	301	2	pure	pure	PROPN
ejpam-6556	301	3	appl	appl	PROPN
ejpam-6556	301	4	.	.	PROPN
ejpam-6556	301	5	math	math	PROPN
ejpam-6556	301	6	,	,	PUNCT
ejpam-6556	301	7	18	18	NUM
ejpam-6556	301	8	(	(	PUNCT
ejpam-6556	301	9	3	3	NUM
ejpam-6556	301	10	)	)	PUNCT
ejpam-6556	301	11	(	(	PUNCT
ejpam-6556	301	12	2025	2025	NUM
ejpam-6556	301	13	)	)	PUNCT
ejpam-6556	301	14	,	,	PUNCT
ejpam-6556	301	15	6556	6556	NUM
ejpam-6556	301	16	11	11	NUM
ejpam-6556	301	17	of	of	ADP
ejpam-6556	301	18	28	28	NUM
ejpam-6556	301	19	remark	remark	NOUN
ejpam-6556	301	20	2	2	NUM
ejpam-6556	301	21	.	.	PUNCT
ejpam-6556	301	22	choosing	choose	VERB
ejpam-6556	301	23	∆ϱ	∆ϱ	PROPN
ejpam-6556	301	24	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	301	25	−	−	PROPN
ejpam-6556	301	26	la	la	PROPN
ejpam-6556	301	27	)	)	PUNCT
ejpam-6556	301	28	=	=	SYM
ejpam-6556	302	1	lb	lb	DET
ejpam-6556	302	2	−	−	PROPN
ejpam-6556	302	3	la	la	NOUN
ejpam-6556	302	4	in	in	ADP
ejpam-6556	302	5	the	the	DET
ejpam-6556	302	6	above	above	ADJ
ejpam-6556	302	7	theorem	theorem	NOUN
ejpam-6556	302	8	,	,	PUNCT
ejpam-6556	302	9	we	we	PRON
ejpam-6556	302	10	have	have	VERB
ejpam-6556	302	11	the	the	DET
ejpam-6556	302	12	result	result	NOUN
ejpam-6556	302	13	in	in	ADP
ejpam-6556	302	14	[	[	X
ejpam-6556	302	15	51	51	NUM
ejpam-6556	302	16	,	,	PUNCT
ejpam-6556	302	17	proposition	proposition	NOUN
ejpam-6556	302	18	2.1	2.1	NUM
ejpam-6556	302	19	]	]	PUNCT
ejpam-6556	302	20	,	,	PUNCT
ejpam-6556	302	21	inequality	inequality	NOUN
ejpam-6556	302	22	(	(	PUNCT
ejpam-6556	302	23	13	13	NUM
ejpam-6556	302	24	)	)	PUNCT
ejpam-6556	302	25	.	.	PUNCT
ejpam-6556	303	1	remark	remark	PROPN
ejpam-6556	303	2	3	3	NUM
ejpam-6556	303	3	.	.	PUNCT
ejpam-6556	304	1	considering	consider	VERB
ejpam-6556	304	2	theorem	theorem	NOUN
ejpam-6556	304	3	8	8	NUM
ejpam-6556	304	4	,	,	PUNCT
ejpam-6556	304	5	we	we	PRON
ejpam-6556	304	6	establish	establish	VERB
ejpam-6556	304	7	the	the	DET
ejpam-6556	304	8	following	follow	VERB
ejpam-6556	304	9	new	new	ADJ
ejpam-6556	304	10	mathematical	mathematical	ADJ
ejpam-6556	304	11	approach	approach	NOUN
ejpam-6556	304	12	of	of	ADP
ejpam-6556	304	13	hermite	hermite	PROPN
ejpam-6556	304	14	-	-	PUNCT
ejpam-6556	304	15	hadamard	hadamard	ADJ
ejpam-6556	304	16	inequality	inequality	NOUN
ejpam-6556	304	17	pertaining	pertain	VERB
ejpam-6556	304	18	to	to	ADP
ejpam-6556	304	19	the	the	DET
ejpam-6556	304	20	classical	classical	ADJ
ejpam-6556	304	21	mittag	mittag	ADJ
ejpam-6556	304	22	-	-	PUNCT
ejpam-6556	304	23	leffler	leffler	NOUN
ejpam-6556	304	24	function	function	NOUN
ejpam-6556	304	25	via	via	ADP
ejpam-6556	304	26	abfio	abfio	PROPN
ejpam-6556	304	27	if	if	SCONJ
ejpam-6556	304	28	we	we	PRON
ejpam-6556	304	29	pick	pick	VERB
ejpam-6556	304	30	ϱ	ϱ	ADP
ejpam-6556	304	31	=	=	SYM
ejpam-6556	304	32	(	(	PUNCT
ejpam-6556	304	33	1	1	NUM
ejpam-6556	304	34	,	,	PUNCT
ejpam-6556	304	35	1	1	NUM
ejpam-6556	304	36	,	,	PUNCT
ejpam-6556	304	37	...	...	PUNCT
ejpam-6556	304	38	)	)	PUNCT
ejpam-6556	304	39	with	with	ADP
ejpam-6556	304	40	ϵ	ϵ	PROPN
ejpam-6556	304	41	=	=	SYM
ejpam-6556	304	42	α	α	PROPN
ejpam-6556	304	43	and	and	CCONJ
ejpam-6556	304	44	σ	σ	NOUN
ejpam-6556	304	45	=	=	SYM
ejpam-6556	304	46	1	1	NUM
ejpam-6556	304	47	:	:	PUNCT
ejpam-6556	304	48	λ	λ	X
ejpam-6556	304	49	(	(	PUNCT
ejpam-6556	304	50	2la	2la	ADJ
ejpam-6556	304	51	+	+	CCONJ
ejpam-6556	304	52	eα(lb	eα(lb	ADJ
ejpam-6556	304	53	−	−	NOUN
ejpam-6556	304	54	la	la	NOUN
ejpam-6556	304	55	)	)	PUNCT
ejpam-6556	304	56	2	2	NUM
ejpam-6556	304	57	)	)	PUNCT
ejpam-6556	304	58	≤	≤	NOUN
ejpam-6556	304	59	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	304	60	)	)	PUNCT
ejpam-6556	304	61	2	2	NUM
ejpam-6556	304	62	[	[	X
ejpam-6556	304	63	eα(lb	eα(lb	X
ejpam-6556	304	64	−	−	PROPN
ejpam-6556	304	65	la	la	NOUN
ejpam-6556	304	66	)	)	PUNCT
ejpam-6556	304	67	]	]	PUNCT
ejpam-6556	305	1	γ	γ	PROPN
ejpam-6556	305	2	[	[	PUNCT
ejpam-6556	305	3	ab	ab	PROPN
ejpam-6556	305	4	mlai	mlai	PROPN
ejpam-6556	305	5	γ	γ	PROPN
ejpam-6556	305	6	{	{	PUNCT
ejpam-6556	305	7	λ	λ	PROPN
ejpam-6556	305	8	(	(	PUNCT
ejpam-6556	305	9	la	la	PROPN
ejpam-6556	305	10	+	+	CCONJ
ejpam-6556	305	11	eα(lb	eα(lb	PROPN
ejpam-6556	305	12	−	−	PROPN
ejpam-6556	305	13	la))}+	la))}+	NOUN
ejpam-6556	305	14	abiγla+eα(lb−mla	abiγla+eα(lb−mla	NOUN
ejpam-6556	305	15	)	)	PUNCT
ejpam-6556	305	16	{	{	PUNCT
ejpam-6556	305	17	λ	λ	X
ejpam-6556	305	18	(	(	PUNCT
ejpam-6556	305	19	la	la	NOUN
ejpam-6556	305	20	)	)	PUNCT
ejpam-6556	305	21	}	}	PUNCT
ejpam-6556	305	22	]	]	PUNCT
ejpam-6556	305	23	−	−	PROPN
ejpam-6556	305	24	(	(	PUNCT
ejpam-6556	305	25	1−	1−	NUM
ejpam-6556	305	26	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	305	27	)	)	PUNCT
ejpam-6556	305	28	2	2	NUM
ejpam-6556	305	29	[	[	X
ejpam-6556	305	30	eα(lb	eα(lb	X
ejpam-6556	305	31	−	−	PROPN
ejpam-6556	305	32	la	la	NOUN
ejpam-6556	305	33	)	)	PUNCT
ejpam-6556	305	34	]	]	PUNCT
ejpam-6556	306	1	γ	γ	X
ejpam-6556	306	2	[	[	X
ejpam-6556	306	3	λ	λ	X
ejpam-6556	306	4	(	(	PUNCT
ejpam-6556	306	5	la	la	ADJ
ejpam-6556	306	6	)	)	PUNCT
ejpam-6556	306	7	+	+	NUM
ejpam-6556	306	8	λ	λ	X
ejpam-6556	306	9	(	(	PUNCT
ejpam-6556	306	10	la	la	PROPN
ejpam-6556	306	11	+	+	CCONJ
ejpam-6556	306	12	eα(lb	eα(lb	ADJ
ejpam-6556	306	13	−	−	PROPN
ejpam-6556	306	14	la	la	NOUN
ejpam-6556	306	15	)	)	PUNCT
ejpam-6556	306	16	)	)	PUNCT
ejpam-6556	306	17	]	]	PUNCT
ejpam-6556	307	1	≤	≤	NUM
ejpam-6556	307	2	λ	λ	X
ejpam-6556	307	3	(	(	PUNCT
ejpam-6556	307	4	la	la	ADJ
ejpam-6556	307	5	)	)	PUNCT
ejpam-6556	307	6	+	+	NUM
ejpam-6556	307	7	λ	λ	X
ejpam-6556	307	8	(	(	PUNCT
ejpam-6556	307	9	lb	lb	NOUN
ejpam-6556	307	10	)	)	PUNCT
ejpam-6556	307	11	2	2	NUM
ejpam-6556	307	12	.	.	X
ejpam-6556	307	13	5	5	X
ejpam-6556	307	14	.	.	X
ejpam-6556	307	15	refinements	refinement	NOUN
ejpam-6556	307	16	of	of	ADP
ejpam-6556	307	17	hermite	hermite	ADJ
ejpam-6556	307	18	-	-	PUNCT
ejpam-6556	307	19	hadamard	hadamard	ADJ
ejpam-6556	307	20	type	type	NOUN
ejpam-6556	307	21	inequality	inequality	NOUN
ejpam-6556	307	22	via	via	ADP
ejpam-6556	307	23	ab	ab	PROPN
ejpam-6556	307	24	fractional	fractional	ADJ
ejpam-6556	307	25	integral	integral	ADJ
ejpam-6556	307	26	operator	operator	NOUN
ejpam-6556	307	27	this	this	DET
ejpam-6556	307	28	section	section	NOUN
ejpam-6556	307	29	’s	’s	PART
ejpam-6556	307	30	goal	goal	NOUN
ejpam-6556	307	31	is	be	AUX
ejpam-6556	307	32	to	to	PART
ejpam-6556	307	33	explore	explore	VERB
ejpam-6556	307	34	and	and	CCONJ
ejpam-6556	307	35	offer	offer	VERB
ejpam-6556	307	36	a	a	DET
ejpam-6556	307	37	novel	novel	ADJ
ejpam-6556	307	38	equality	equality	NOUN
ejpam-6556	307	39	.	.	PUNCT
ejpam-6556	308	1	we	we	PRON
ejpam-6556	308	2	derive	derive	VERB
ejpam-6556	308	3	some	some	DET
ejpam-6556	308	4	novel	novel	ADJ
ejpam-6556	308	5	enhancements	enhancement	NOUN
ejpam-6556	308	6	of	of	ADP
ejpam-6556	308	7	hermite	hermite	ADJ
ejpam-6556	308	8	-	-	PUNCT
ejpam-6556	308	9	hadamard	hadamard	ADJ
ejpam-6556	308	10	-	-	PUNCT
ejpam-6556	308	11	type	type	NOUN
ejpam-6556	308	12	inequalities	inequality	NOUN
ejpam-6556	308	13	using	use	VERB
ejpam-6556	308	14	an	an	DET
ejpam-6556	308	15	abfio	abfio	NOUN
ejpam-6556	308	16	based	base	VERB
ejpam-6556	308	17	on	on	ADP
ejpam-6556	308	18	this	this	DET
ejpam-6556	308	19	recently	recently	ADV
ejpam-6556	308	20	studied	study	VERB
ejpam-6556	308	21	equality	equality	NOUN
ejpam-6556	308	22	.	.	PUNCT
ejpam-6556	309	1	to	to	PART
ejpam-6556	309	2	improve	improve	VERB
ejpam-6556	309	3	the	the	DET
ejpam-6556	309	4	content	content	NOUN
ejpam-6556	309	5	and	and	CCONJ
ejpam-6556	309	6	grab	grab	VERB
ejpam-6556	309	7	readers	reader	NOUN
ejpam-6556	309	8	’	’	PART
ejpam-6556	309	9	attention	attention	NOUN
ejpam-6556	309	10	,	,	PUNCT
ejpam-6556	309	11	we	we	PRON
ejpam-6556	309	12	include	include	VERB
ejpam-6556	309	13	a	a	DET
ejpam-6556	309	14	few	few	ADJ
ejpam-6556	309	15	remarks	remark	NOUN
ejpam-6556	309	16	.	.	PUNCT
ejpam-6556	310	1	first	first	ADV
ejpam-6556	310	2	,	,	PUNCT
ejpam-6556	310	3	we	we	PRON
ejpam-6556	310	4	prove	prove	VERB
ejpam-6556	310	5	a	a	DET
ejpam-6556	310	6	lemma	lemma	PROPN
ejpam-6556	310	7	in	in	ADP
ejpam-6556	310	8	the	the	DET
ejpam-6556	310	9	frame	frame	NOUN
ejpam-6556	310	10	of	of	ADP
ejpam-6556	310	11	abfio	abfio	PROPN
ejpam-6556	310	12	.	.	PUNCT
ejpam-6556	311	1	throughout	throughout	ADP
ejpam-6556	311	2	in	in	ADP
ejpam-6556	311	3	this	this	DET
ejpam-6556	311	4	section	section	NOUN
ejpam-6556	311	5	,	,	PUNCT
ejpam-6556	311	6	b(γ	b(γ	PROPN
ejpam-6556	311	7	)	)	PUNCT
ejpam-6556	311	8	represents	represent	VERB
ejpam-6556	311	9	the	the	DET
ejpam-6556	311	10	normalization	normalization	NOUN
ejpam-6556	311	11	function	function	NOUN
ejpam-6556	311	12	and	and	CCONJ
ejpam-6556	311	13	γ	γ	X
ejpam-6556	311	14	(	(	PUNCT
ejpam-6556	311	15	.	.	PUNCT
ejpam-6556	311	16	)	)	PUNCT
ejpam-6556	311	17	represents	represent	VERB
ejpam-6556	311	18	the	the	DET
ejpam-6556	311	19	gamma	gamma	PROPN
ejpam-6556	311	20	function	function	NOUN
ejpam-6556	311	21	.	.	PUNCT
ejpam-6556	312	1	lemma	lemma	PROPN
ejpam-6556	312	2	1	1	X
ejpam-6556	312	3	.	.	PUNCT
ejpam-6556	313	1	let	let	VERB
ejpam-6556	313	2	i	i	PRON
ejpam-6556	313	3	⊆	⊆	NUM
ejpam-6556	313	4	r	r	NOUN
ejpam-6556	313	5	be	be	VERB
ejpam-6556	313	6	an	an	DET
ejpam-6556	313	7	open	open	ADJ
ejpam-6556	313	8	,	,	PUNCT
ejpam-6556	313	9	non	non	ADJ
ejpam-6556	313	10	-	-	ADJ
ejpam-6556	313	11	empty	empty	ADJ
ejpam-6556	313	12	convex	convex	NOUN
ejpam-6556	313	13	set	set	NOUN
ejpam-6556	313	14	,	,	PUNCT
ejpam-6556	313	15	and	and	CCONJ
ejpam-6556	313	16	let	let	VERB
ejpam-6556	313	17	la	la	ADJ
ejpam-6556	313	18	,	,	PUNCT
ejpam-6556	313	19	lb	lb	DET
ejpam-6556	313	20	∈	∈	PROPN
ejpam-6556	313	21	i	i	X
ejpam-6556	313	22	with	with	ADP
ejpam-6556	313	23	la	la	X
ejpam-6556	313	24	<	<	AUX
ejpam-6556	313	25	la	la	PROPN
ejpam-6556	313	26	+	+	PROPN
ejpam-6556	313	27	∆ϱ	∆ϱ	PROPN
ejpam-6556	313	28	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	313	29	−	−	PROPN
ejpam-6556	313	30	la	la	PROPN
ejpam-6556	313	31	)	)	PUNCT
ejpam-6556	313	32	.	.	PUNCT
ejpam-6556	314	1	suppose	suppose	VERB
ejpam-6556	314	2	that	that	SCONJ
ejpam-6556	314	3	λ	λ	X
ejpam-6556	314	4	:	:	PUNCT
ejpam-6556	314	5	i	i	PRON
ejpam-6556	314	6	→	→	PUNCT
ejpam-6556	314	7	r	r	NOUN
ejpam-6556	314	8	is	be	AUX
ejpam-6556	314	9	a	a	DET
ejpam-6556	314	10	differentiable	differentiable	ADJ
ejpam-6556	314	11	function	function	NOUN
ejpam-6556	314	12	such	such	ADJ
ejpam-6556	314	13	that	that	DET
ejpam-6556	314	14	λ′	λ′	X
ejpam-6556	314	15	∈	∈	NOUN
ejpam-6556	314	16	l	l	NOUN
ejpam-6556	314	17	[	[	PUNCT
ejpam-6556	314	18	la	la	X
ejpam-6556	314	19	,	,	PUNCT
ejpam-6556	314	20	la	la	PROPN
ejpam-6556	314	21	+	+	PROPN
ejpam-6556	314	22	∆ϱ	∆ϱ	PROPN
ejpam-6556	314	23	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	314	24	−	−	PROPN
ejpam-6556	314	25	la	la	PROPN
ejpam-6556	314	26	)	)	PUNCT
ejpam-6556	314	27	]	]	PUNCT
ejpam-6556	314	28	.	.	PUNCT
ejpam-6556	315	1	then	then	ADV
ejpam-6556	315	2	,	,	PUNCT
ejpam-6556	315	3	the	the	DET
ejpam-6556	315	4	following	follow	VERB
ejpam-6556	315	5	identity	identity	NOUN
ejpam-6556	315	6	involving	involve	VERB
ejpam-6556	315	7	the	the	DET
ejpam-6556	315	8	atangana	atangana	PROPN
ejpam-6556	315	9	–	–	PUNCT
ejpam-6556	315	10	baleanu	baleanu	ADJ
ejpam-6556	315	11	fractional	fractional	ADJ
ejpam-6556	315	12	integral	integral	ADJ
ejpam-6556	315	13	operator	operator	NOUN
ejpam-6556	315	14	holds	hold	VERB
ejpam-6556	315	15	:	:	PUNCT
ejpam-6556	315	16	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	315	17	)	)	PUNCT
ejpam-6556	316	1	[	[	X
ejpam-6556	316	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	316	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	316	4	−	−	PROPN
ejpam-6556	316	5	la	la	PROPN
ejpam-6556	316	6	)	)	PUNCT
ejpam-6556	316	7	]	]	PUNCT
ejpam-6556	317	1	γ+1	γ+1	PROPN
ejpam-6556	317	2	[	[	PUNCT
ejpam-6556	317	3	ab	ab	X
ejpam-6556	317	4	la	la	PROPN
ejpam-6556	317	5	iγ	iγ	PROPN
ejpam-6556	317	6	{	{	PUNCT
ejpam-6556	317	7	λ	λ	X
ejpam-6556	317	8	(	(	PUNCT
ejpam-6556	317	9	la	la	PROPN
ejpam-6556	317	10	+	+	PROPN
ejpam-6556	317	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	317	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	317	13	−	−	PROPN
ejpam-6556	317	14	la	la	PROPN
ejpam-6556	317	15	)	)	PUNCT
ejpam-6556	317	16	)	)	PUNCT
ejpam-6556	317	17	}	}	PUNCT
ejpam-6556	318	1	+	+	NUM
ejpam-6556	318	2	abiγ	abiγ	NOUN
ejpam-6556	318	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	318	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	318	5	)	)	PUNCT
ejpam-6556	318	6	{	{	PUNCT
ejpam-6556	318	7	λ	λ	X
ejpam-6556	318	8	(	(	PUNCT
ejpam-6556	318	9	la	la	NOUN
ejpam-6556	318	10	)	)	PUNCT
ejpam-6556	318	11	}	}	PUNCT
ejpam-6556	318	12	]	]	PUNCT
ejpam-6556	318	13	−	−	PROPN
ejpam-6556	319	1	(	(	PUNCT
ejpam-6556	319	2	[	[	X
ejpam-6556	319	3	∆ϱ	∆ϱ	PROPN
ejpam-6556	319	4	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	319	5	−	−	PROPN
ejpam-6556	319	6	la	la	PROPN
ejpam-6556	319	7	)	)	PUNCT
ejpam-6556	319	8	]	]	PUNCT
ejpam-6556	320	1	γ	γ	X
ejpam-6556	320	2	+	+	X
ejpam-6556	320	3	(	(	PUNCT
ejpam-6556	320	4	1−	1−	NUM
ejpam-6556	320	5	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	320	6	)	)	PUNCT
ejpam-6556	321	1	[	[	X
ejpam-6556	321	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	321	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	321	4	−	−	PROPN
ejpam-6556	321	5	la	la	PROPN
ejpam-6556	321	6	)	)	PUNCT
ejpam-6556	321	7	]	]	PUNCT
ejpam-6556	322	1	γ+1	γ+1	X
ejpam-6556	322	2	)	)	PUNCT
ejpam-6556	322	3	[	[	PUNCT
ejpam-6556	322	4	λ	λ	X
ejpam-6556	322	5	(	(	PUNCT
ejpam-6556	322	6	la	la	ADJ
ejpam-6556	322	7	)	)	PUNCT
ejpam-6556	323	1	+	+	NUM
ejpam-6556	323	2	λ	λ	X
ejpam-6556	323	3	(	(	PUNCT
ejpam-6556	323	4	la	la	PROPN
ejpam-6556	323	5	+	+	PROPN
ejpam-6556	323	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	323	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	323	8	−	−	PROPN
ejpam-6556	323	9	la	la	PROPN
ejpam-6556	323	10	)	)	PUNCT
ejpam-6556	323	11	)	)	PUNCT
ejpam-6556	323	12	]	]	PUNCT
ejpam-6556	324	1	=	=	PUNCT
ejpam-6556	324	2	∫	∫	PROPN
ejpam-6556	324	3	1	1	NUM
ejpam-6556	324	4	0	0	NUM
ejpam-6556	324	5	(	(	PUNCT
ejpam-6556	324	6	1−	1−	NUM
ejpam-6556	324	7	x)γλ′	x)γλ′	PROPN
ejpam-6556	324	8	(	(	PUNCT
ejpam-6556	324	9	la	la	X
ejpam-6556	324	10	+	+	NUM
ejpam-6556	324	11	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	324	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	324	13	−	−	PROPN
ejpam-6556	324	14	la	la	NOUN
ejpam-6556	324	15	)	)	PUNCT
ejpam-6556	324	16	)	)	PUNCT
ejpam-6556	325	1	dx−	dx−	X
ejpam-6556	325	2	∫	∫	PROPN
ejpam-6556	325	3	1	1	NUM
ejpam-6556	325	4	0	0	NUM
ejpam-6556	325	5	xγλ′	xγλ′	PROPN
ejpam-6556	325	6	(	(	PUNCT
ejpam-6556	325	7	la	la	X
ejpam-6556	325	8	+	+	X
ejpam-6556	325	9	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	325	10	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	325	11	−	−	PROPN
ejpam-6556	325	12	la	la	PROPN
ejpam-6556	325	13	)	)	PUNCT
ejpam-6556	325	14	)	)	PUNCT
ejpam-6556	325	15	dx	dx	PROPN
ejpam-6556	325	16	where	where	SCONJ
ejpam-6556	325	17	γ	γ	X
ejpam-6556	325	18	∈	∈	PROPN
ejpam-6556	325	19	(	(	PUNCT
ejpam-6556	325	20	0	0	NUM
ejpam-6556	325	21	,	,	PUNCT
ejpam-6556	325	22	1	1	NUM
ejpam-6556	325	23	]	]	PUNCT
ejpam-6556	325	24	,	,	PUNCT
ejpam-6556	325	25	x	x	SYM
ejpam-6556	325	26	∈	∈	PROPN
ejpam-6556	326	1	[	[	X
ejpam-6556	326	2	0	0	NUM
ejpam-6556	326	3	,	,	PUNCT
ejpam-6556	326	4	1	1	NUM
ejpam-6556	326	5	]	]	PUNCT
ejpam-6556	326	6	.	.	PUNCT
ejpam-6556	327	1	m.	m.	PROPN
ejpam-6556	327	2	tariq	tariq	PROPN
ejpam-6556	327	3	et	et	PROPN
ejpam-6556	327	4	al	al	PROPN
ejpam-6556	327	5	.	.	PUNCT
ejpam-6556	327	6	/	/	SYM
ejpam-6556	327	7	eur	eur	PROPN
ejpam-6556	327	8	.	.	PUNCT
ejpam-6556	328	1	j.	j.	PROPN
ejpam-6556	328	2	pure	pure	PROPN
ejpam-6556	328	3	appl	appl	PROPN
ejpam-6556	328	4	.	.	PROPN
ejpam-6556	328	5	math	math	PROPN
ejpam-6556	328	6	,	,	PUNCT
ejpam-6556	328	7	18	18	NUM
ejpam-6556	328	8	(	(	PUNCT
ejpam-6556	328	9	3	3	NUM
ejpam-6556	328	10	)	)	PUNCT
ejpam-6556	328	11	(	(	PUNCT
ejpam-6556	328	12	2025	2025	NUM
ejpam-6556	328	13	)	)	PUNCT
ejpam-6556	328	14	,	,	PUNCT
ejpam-6556	328	15	6556	6556	NUM
ejpam-6556	328	16	12	12	NUM
ejpam-6556	328	17	of	of	ADP
ejpam-6556	328	18	28	28	NUM
ejpam-6556	328	19	proof	proof	NOUN
ejpam-6556	328	20	.	.	PUNCT
ejpam-6556	329	1	by	by	ADP
ejpam-6556	329	2	using	use	VERB
ejpam-6556	329	3	integration	integration	NOUN
ejpam-6556	329	4	,	,	PUNCT
ejpam-6556	329	5	we	we	PRON
ejpam-6556	329	6	have∫	have∫	VERB
ejpam-6556	329	7	1	1	NUM
ejpam-6556	329	8	0	0	NUM
ejpam-6556	329	9	(	(	PUNCT
ejpam-6556	330	1	1−	1−	NUM
ejpam-6556	330	2	x)γλ′	x)γλ′	PROPN
ejpam-6556	330	3	(	(	PUNCT
ejpam-6556	330	4	la	la	X
ejpam-6556	330	5	+	+	NUM
ejpam-6556	330	6	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	330	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	330	8	−	−	PROPN
ejpam-6556	330	9	la	la	PROPN
ejpam-6556	330	10	)	)	PUNCT
ejpam-6556	330	11	)	)	PUNCT
ejpam-6556	331	1	dx	dx	PROPN
ejpam-6556	331	2	=	=	PUNCT
ejpam-6556	331	3	(	(	PUNCT
ejpam-6556	332	1	1−	1−	NUM
ejpam-6556	332	2	x)γλ	x)γλ	PROPN
ejpam-6556	332	3	(	(	PUNCT
ejpam-6556	332	4	la	la	X
ejpam-6556	332	5	+	+	X
ejpam-6556	332	6	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	332	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	332	8	−	−	PROPN
ejpam-6556	332	9	la	la	NOUN
ejpam-6556	332	10	)	)	PUNCT
ejpam-6556	332	11	)	)	PUNCT
ejpam-6556	332	12	∆ϱ	∆ϱ	PROPN
ejpam-6556	332	13	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	332	14	−	−	PROPN
ejpam-6556	332	15	la	la	PROPN
ejpam-6556	332	16	)	)	PUNCT
ejpam-6556	332	17	∣∣∣∣1	∣∣∣∣1	NOUN
ejpam-6556	332	18	0	0	NUM
ejpam-6556	333	1	+	+	CCONJ
ejpam-6556	333	2	γ	γ	PROPN
ejpam-6556	333	3	∆ϱ	∆ϱ	PROPN
ejpam-6556	333	4	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	333	5	−	−	PROPN
ejpam-6556	333	6	la	la	PROPN
ejpam-6556	333	7	)	)	PUNCT
ejpam-6556	333	8	∫	∫	PROPN
ejpam-6556	333	9	1	1	NUM
ejpam-6556	333	10	0	0	NUM
ejpam-6556	333	11	λ	λ	X
ejpam-6556	333	12	(	(	PUNCT
ejpam-6556	333	13	la	la	X
ejpam-6556	333	14	+	+	X
ejpam-6556	333	15	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	333	16	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	333	17	−	−	PROPN
ejpam-6556	333	18	la	la	NOUN
ejpam-6556	333	19	)	)	PUNCT
ejpam-6556	333	20	)	)	PUNCT
ejpam-6556	334	1	(	(	PUNCT
ejpam-6556	334	2	1−	1−	NUM
ejpam-6556	334	3	x)γ−1dx	x)γ−1dx	NOUN
ejpam-6556	334	4	=	=	SYM
ejpam-6556	334	5	−	−	PROPN
ejpam-6556	334	6	λ	λ	PROPN
ejpam-6556	334	7	(	(	PUNCT
ejpam-6556	334	8	la	la	PROPN
ejpam-6556	334	9	)	)	PUNCT
ejpam-6556	334	10	∆ϱ	∆ϱ	PROPN
ejpam-6556	334	11	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	334	12	−	−	PROPN
ejpam-6556	334	13	la	la	PROPN
ejpam-6556	334	14	)	)	PUNCT
ejpam-6556	334	15	+	+	CCONJ
ejpam-6556	334	16	γ	γ	PROPN
ejpam-6556	334	17	∆ϱ	∆ϱ	PROPN
ejpam-6556	334	18	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	334	19	−	−	PROPN
ejpam-6556	334	20	la	la	PROPN
ejpam-6556	334	21	)	)	PUNCT
ejpam-6556	334	22	∫	∫	PROPN
ejpam-6556	334	23	1	1	NUM
ejpam-6556	334	24	0	0	NUM
ejpam-6556	334	25	(	(	PUNCT
ejpam-6556	334	26	1−	1−	NUM
ejpam-6556	334	27	x)γ−1λ	x)γ−1λ	X
ejpam-6556	334	28	(	(	PUNCT
ejpam-6556	334	29	la	la	PROPN
ejpam-6556	334	30	+	+	X
ejpam-6556	334	31	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	334	32	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	334	33	−	−	PROPN
ejpam-6556	334	34	la	la	PROPN
ejpam-6556	334	35	)	)	PUNCT
ejpam-6556	334	36	)	)	PUNCT
ejpam-6556	334	37	dx	dx	PROPN
ejpam-6556	335	1	=	=	NOUN
ejpam-6556	335	2	−	−	PROPN
ejpam-6556	335	3	λ	λ	PROPN
ejpam-6556	335	4	(	(	PUNCT
ejpam-6556	335	5	la	la	PROPN
ejpam-6556	335	6	)	)	PUNCT
ejpam-6556	335	7	∆ϱ	∆ϱ	PROPN
ejpam-6556	335	8	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	335	9	−	−	PROPN
ejpam-6556	335	10	la	la	PROPN
ejpam-6556	335	11	)	)	PUNCT
ejpam-6556	336	1	+	+	CCONJ
ejpam-6556	336	2	γ	γ	PROPN
ejpam-6556	336	3	[	[	X
ejpam-6556	336	4	∆ϱ	∆ϱ	PROPN
ejpam-6556	336	5	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	336	6	−	−	PROPN
ejpam-6556	336	7	la	la	PROPN
ejpam-6556	336	8	)	)	PUNCT
ejpam-6556	336	9	]	]	PUNCT
ejpam-6556	337	1	γ+1	γ+1	NUM
ejpam-6556	337	2	∫	∫	PROPN
ejpam-6556	337	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	337	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	337	5	)	)	PUNCT
ejpam-6556	337	6	la	la	NOUN
ejpam-6556	337	7	(	(	PUNCT
ejpam-6556	337	8	la	la	X
ejpam-6556	337	9	+	+	PROPN
ejpam-6556	337	10	∆ϱ	∆ϱ	PROPN
ejpam-6556	337	11	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	337	12	−	−	NOUN
ejpam-6556	337	13	la)−	la)−	NOUN
ejpam-6556	337	14	x	x	X
ejpam-6556	337	15	)	)	PUNCT
ejpam-6556	337	16	γ−1	γ−1	PROPN
ejpam-6556	337	17	λ(x)dx	λ(x)dx	PROPN
ejpam-6556	337	18	.	.	PUNCT
ejpam-6556	338	1	(	(	PUNCT
ejpam-6556	338	2	5.1	5.1	NUM
ejpam-6556	338	3	)	)	PUNCT
ejpam-6556	338	4	multiplying	multiply	VERB
ejpam-6556	338	5	both	both	DET
ejpam-6556	338	6	sides	side	NOUN
ejpam-6556	338	7	of	of	ADP
ejpam-6556	338	8	inequality	inequality	NOUN
ejpam-6556	338	9	(	(	PUNCT
ejpam-6556	338	10	5.1	5.1	NUM
ejpam-6556	338	11	)	)	PUNCT
ejpam-6556	338	12	by	by	ADP
ejpam-6556	338	13	1	1	NUM
ejpam-6556	338	14	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	338	15	)	)	PUNCT
ejpam-6556	338	16	,	,	PUNCT
ejpam-6556	338	17	we	we	PRON
ejpam-6556	338	18	obtain	obtain	VERB
ejpam-6556	338	19	1	1	NUM
ejpam-6556	338	20	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	338	21	)	)	PUNCT
ejpam-6556	338	22	∫	∫	PROPN
ejpam-6556	338	23	1	1	NUM
ejpam-6556	338	24	0	0	NUM
ejpam-6556	338	25	(	(	PUNCT
ejpam-6556	338	26	1−	1−	NUM
ejpam-6556	338	27	x)γλ′	x)γλ′	PROPN
ejpam-6556	338	28	(	(	PUNCT
ejpam-6556	338	29	la	la	X
ejpam-6556	338	30	+	+	NUM
ejpam-6556	338	31	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	338	32	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	338	33	−	−	PROPN
ejpam-6556	338	34	la	la	PROPN
ejpam-6556	338	35	)	)	PUNCT
ejpam-6556	338	36	)	)	PUNCT
ejpam-6556	339	1	dx	dx	PROPN
ejpam-6556	340	1	=	=	SYM
ejpam-6556	340	2	−	−	PROPN
ejpam-6556	340	3	λ	λ	PROPN
ejpam-6556	340	4	(	(	PUNCT
ejpam-6556	340	5	la	la	ADJ
ejpam-6556	340	6	)	)	PUNCT
ejpam-6556	340	7	b(γ)γ(γ)∆ϱ	b(γ)γ(γ)∆ϱ	VERB
ejpam-6556	340	8	ϵ,σ(lb	ϵ,σ(lb	NOUN
ejpam-6556	340	9	−mla	−mla	NOUN
ejpam-6556	340	10	)	)	PUNCT
ejpam-6556	341	1	+	+	CCONJ
ejpam-6556	341	2	γ	γ	NOUN
ejpam-6556	341	3	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	341	4	)	)	PUNCT
ejpam-6556	342	1	[	[	X
ejpam-6556	342	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	342	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	342	4	−	−	PROPN
ejpam-6556	342	5	la	la	PROPN
ejpam-6556	342	6	)	)	PUNCT
ejpam-6556	342	7	]	]	PUNCT
ejpam-6556	343	1	γ+1	γ+1	NUM
ejpam-6556	343	2	∫	∫	PROPN
ejpam-6556	343	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	343	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	343	5	)	)	PUNCT
ejpam-6556	343	6	la	la	NOUN
ejpam-6556	343	7	(	(	PUNCT
ejpam-6556	343	8	la	la	X
ejpam-6556	343	9	+	+	PROPN
ejpam-6556	343	10	∆ϱ	∆ϱ	PROPN
ejpam-6556	343	11	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	343	12	−	−	NOUN
ejpam-6556	343	13	la)−	la)−	NOUN
ejpam-6556	343	14	x	x	X
ejpam-6556	343	15	)	)	PUNCT
ejpam-6556	343	16	γ−1	γ−1	PROPN
ejpam-6556	343	17	λ(x)dx	λ(x)dx	PROPN
ejpam-6556	343	18	.	.	PUNCT
ejpam-6556	344	1	then	then	ADV
ejpam-6556	344	2	,	,	PUNCT
ejpam-6556	344	3	we	we	PRON
ejpam-6556	344	4	can	can	AUX
ejpam-6556	344	5	write	write	VERB
ejpam-6556	344	6	1	1	NUM
ejpam-6556	344	7	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	344	8	)	)	PUNCT
ejpam-6556	344	9	∫	∫	PROPN
ejpam-6556	344	10	1	1	NUM
ejpam-6556	344	11	0	0	NUM
ejpam-6556	344	12	(	(	PUNCT
ejpam-6556	344	13	1−	1−	NUM
ejpam-6556	344	14	x)γλ′	x)γλ′	PROPN
ejpam-6556	344	15	(	(	PUNCT
ejpam-6556	344	16	la	la	X
ejpam-6556	344	17	+	+	NUM
ejpam-6556	344	18	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	344	19	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	344	20	−	−	PROPN
ejpam-6556	344	21	la	la	PROPN
ejpam-6556	344	22	)	)	PUNCT
ejpam-6556	344	23	)	)	PUNCT
ejpam-6556	345	1	dx	dx	PROPN
ejpam-6556	346	1	=	=	SYM
ejpam-6556	346	2	−	−	PROPN
ejpam-6556	346	3	λ	λ	PROPN
ejpam-6556	346	4	(	(	PUNCT
ejpam-6556	346	5	la	la	NOUN
ejpam-6556	346	6	)	)	PUNCT
ejpam-6556	346	7	b(γ)γ(γ)∆ϱ	b(γ)γ(γ)∆ϱ	VERB
ejpam-6556	347	1	ϵ,σ(lb	ϵ,σ(lb	INTJ
ejpam-6556	347	2	−	−	PROPN
ejpam-6556	347	3	la	la	NOUN
ejpam-6556	347	4	)	)	PUNCT
ejpam-6556	348	1	+	+	CCONJ
ejpam-6556	348	2	1	1	NUM
ejpam-6556	348	3	[	[	X
ejpam-6556	348	4	∆ϱ	∆ϱ	PROPN
ejpam-6556	348	5	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	348	6	−	−	PROPN
ejpam-6556	348	7	la	la	PROPN
ejpam-6556	348	8	)	)	PUNCT
ejpam-6556	348	9	]	]	PUNCT
ejpam-6556	349	1	γ+1	γ+1	PROPN
ejpam-6556	349	2	[	[	PUNCT
ejpam-6556	349	3	γ	γ	X
ejpam-6556	349	4	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	349	5	)	)	PUNCT
ejpam-6556	349	6	∫	∫	PROPN
ejpam-6556	349	7	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	349	8	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	349	9	)	)	PUNCT
ejpam-6556	349	10	la	la	NOUN
ejpam-6556	349	11	(	(	PUNCT
ejpam-6556	349	12	la	la	X
ejpam-6556	349	13	+	+	PROPN
ejpam-6556	349	14	∆ϱ	∆ϱ	PROPN
ejpam-6556	349	15	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	349	16	−	−	NOUN
ejpam-6556	349	17	la)−	la)−	NOUN
ejpam-6556	349	18	x	x	X
ejpam-6556	349	19	)	)	PUNCT
ejpam-6556	349	20	γ−1	γ−1	PROPN
ejpam-6556	349	21	λ(x)dx	λ(x)dx	PART
ejpam-6556	349	22	+	+	X
ejpam-6556	349	23	(	(	PUNCT
ejpam-6556	349	24	1−	1−	NUM
ejpam-6556	349	25	γ	γ	X
ejpam-6556	349	26	)	)	PUNCT
ejpam-6556	349	27	b(γ	b(γ	PROPN
ejpam-6556	349	28	)	)	PUNCT
ejpam-6556	350	1	λ	λ	PROPN
ejpam-6556	350	2	(	(	PUNCT
ejpam-6556	350	3	la	la	PROPN
ejpam-6556	350	4	+	+	PROPN
ejpam-6556	350	5	∆ϱ	∆ϱ	PROPN
ejpam-6556	350	6	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	350	7	−	−	PROPN
ejpam-6556	350	8	la	la	PROPN
ejpam-6556	350	9	)	)	PUNCT
ejpam-6556	350	10	)	)	PUNCT
ejpam-6556	350	11	]	]	PUNCT
ejpam-6556	351	1	−	−	PROPN
ejpam-6556	351	2	(	(	PUNCT
ejpam-6556	351	3	1−	1−	NUM
ejpam-6556	351	4	γ	γ	X
ejpam-6556	351	5	)	)	PUNCT
ejpam-6556	351	6	b(γ	b(γ	PROPN
ejpam-6556	351	7	)	)	PUNCT
ejpam-6556	352	1	[	[	X
ejpam-6556	352	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	352	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	352	4	−	−	PROPN
ejpam-6556	352	5	la	la	NOUN
ejpam-6556	352	6	)	)	PUNCT
ejpam-6556	352	7	]	]	PUNCT
ejpam-6556	353	1	γ+1λ	γ+1λ	PROPN
ejpam-6556	353	2	(	(	PUNCT
ejpam-6556	353	3	la	la	PROPN
ejpam-6556	353	4	+	+	PROPN
ejpam-6556	353	5	∆ϱ	∆ϱ	PROPN
ejpam-6556	353	6	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	353	7	−	−	PROPN
ejpam-6556	353	8	la	la	PROPN
ejpam-6556	353	9	)	)	PUNCT
ejpam-6556	353	10	)	)	PUNCT
ejpam-6556	353	11	.	.	PUNCT
ejpam-6556	354	1	using	use	VERB
ejpam-6556	354	2	abfio	abfio	PROPN
ejpam-6556	354	3	,	,	PUNCT
ejpam-6556	354	4	we	we	PRON
ejpam-6556	354	5	have	have	VERB
ejpam-6556	354	6	1	1	NUM
ejpam-6556	354	7	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	354	8	)	)	PUNCT
ejpam-6556	354	9	∫	∫	PROPN
ejpam-6556	354	10	1	1	NUM
ejpam-6556	354	11	0	0	NUM
ejpam-6556	354	12	(	(	PUNCT
ejpam-6556	354	13	1−	1−	NUM
ejpam-6556	354	14	x)γλ′	x)γλ′	PROPN
ejpam-6556	354	15	(	(	PUNCT
ejpam-6556	354	16	la	la	X
ejpam-6556	354	17	+	+	NUM
ejpam-6556	354	18	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	354	19	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	354	20	−	−	PROPN
ejpam-6556	354	21	la	la	PROPN
ejpam-6556	354	22	)	)	PUNCT
ejpam-6556	354	23	)	)	PUNCT
ejpam-6556	354	24	dx	dx	PROPN
ejpam-6556	355	1	=	=	NOUN
ejpam-6556	355	2	−	−	PROPN
ejpam-6556	355	3	λ	λ	PROPN
ejpam-6556	355	4	(	(	PUNCT
ejpam-6556	355	5	la	la	NOUN
ejpam-6556	355	6	)	)	PUNCT
ejpam-6556	355	7	b(γ)γ(γ)∆ϱ	b(γ)γ(γ)∆ϱ	VERB
ejpam-6556	356	1	ϵ,σ(lb	ϵ,σ(lb	INTJ
ejpam-6556	356	2	−	−	PROPN
ejpam-6556	356	3	la	la	NOUN
ejpam-6556	356	4	)	)	PUNCT
ejpam-6556	357	1	+	+	CCONJ
ejpam-6556	357	2	1	1	NUM
ejpam-6556	358	1	[	[	X
ejpam-6556	358	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	358	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	358	4	−	−	PROPN
ejpam-6556	358	5	la	la	PROPN
ejpam-6556	358	6	)	)	PUNCT
ejpam-6556	358	7	]	]	PUNCT
ejpam-6556	359	1	γ+1	γ+1	PROPN
ejpam-6556	359	2	[	[	PUNCT
ejpam-6556	359	3	ab	ab	X
ejpam-6556	359	4	la	la	PROPN
ejpam-6556	359	5	iγ	iγ	PROPN
ejpam-6556	359	6	{	{	PUNCT
ejpam-6556	359	7	λ	λ	X
ejpam-6556	359	8	(	(	PUNCT
ejpam-6556	359	9	la	la	PROPN
ejpam-6556	359	10	+	+	PROPN
ejpam-6556	359	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	359	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	359	13	−	−	PROPN
ejpam-6556	359	14	la	la	PROPN
ejpam-6556	359	15	)	)	PUNCT
ejpam-6556	359	16	)	)	PUNCT
ejpam-6556	359	17	}	}	PUNCT
ejpam-6556	359	18	]	]	PUNCT
ejpam-6556	359	19	−	−	PROPN
ejpam-6556	359	20	(	(	PUNCT
ejpam-6556	359	21	1−	1−	NUM
ejpam-6556	359	22	γ	γ	X
ejpam-6556	359	23	)	)	PUNCT
ejpam-6556	359	24	b(γ	b(γ	PROPN
ejpam-6556	359	25	)	)	PUNCT
ejpam-6556	360	1	[	[	X
ejpam-6556	360	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	360	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	360	4	−	−	PROPN
ejpam-6556	360	5	la	la	NOUN
ejpam-6556	360	6	)	)	PUNCT
ejpam-6556	360	7	]	]	PUNCT
ejpam-6556	361	1	γ+1λ	γ+1λ	PROPN
ejpam-6556	361	2	(	(	PUNCT
ejpam-6556	361	3	mla	mla	PROPN
ejpam-6556	361	4	+	+	PROPN
ejpam-6556	361	5	∆ϱ	∆ϱ	PROPN
ejpam-6556	361	6	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	361	7	−	−	PROPN
ejpam-6556	361	8	la	la	PROPN
ejpam-6556	361	9	)	)	PUNCT
ejpam-6556	361	10	)	)	PUNCT
ejpam-6556	361	11	.	.	PUNCT
ejpam-6556	362	1	(	(	PUNCT
ejpam-6556	362	2	5.2	5.2	NUM
ejpam-6556	362	3	)	)	PUNCT
ejpam-6556	362	4	m.	m.	NOUN
ejpam-6556	362	5	tariq	tariq	PROPN
ejpam-6556	362	6	et	et	PROPN
ejpam-6556	362	7	al	al	PROPN
ejpam-6556	362	8	.	.	PUNCT
ejpam-6556	362	9	/	/	SYM
ejpam-6556	362	10	eur	eur	PROPN
ejpam-6556	362	11	.	.	PUNCT
ejpam-6556	363	1	j.	j.	PROPN
ejpam-6556	363	2	pure	pure	PROPN
ejpam-6556	363	3	appl	appl	PROPN
ejpam-6556	363	4	.	.	PROPN
ejpam-6556	363	5	math	math	PROPN
ejpam-6556	363	6	,	,	PUNCT
ejpam-6556	363	7	18	18	NUM
ejpam-6556	363	8	(	(	PUNCT
ejpam-6556	363	9	3	3	NUM
ejpam-6556	363	10	)	)	PUNCT
ejpam-6556	363	11	(	(	PUNCT
ejpam-6556	363	12	2025	2025	NUM
ejpam-6556	363	13	)	)	PUNCT
ejpam-6556	363	14	,	,	PUNCT
ejpam-6556	363	15	6556	6556	NUM
ejpam-6556	363	16	13	13	NUM
ejpam-6556	363	17	of	of	ADP
ejpam-6556	363	18	28	28	NUM
ejpam-6556	363	19	similarly	similarly	ADV
ejpam-6556	363	20	,	,	PUNCT
ejpam-6556	363	21	using	use	VERB
ejpam-6556	363	22	integration	integration	NOUN
ejpam-6556	363	23	,	,	PUNCT
ejpam-6556	363	24	we	we	PRON
ejpam-6556	363	25	get∫	get∫	VERB
ejpam-6556	363	26	1	1	NUM
ejpam-6556	363	27	0	0	NUM
ejpam-6556	363	28	xγλ′	xγλ′	NOUN
ejpam-6556	363	29	(	(	PUNCT
ejpam-6556	363	30	la	la	X
ejpam-6556	363	31	+	+	X
ejpam-6556	363	32	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	363	33	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	363	34	−	−	PROPN
ejpam-6556	363	35	la	la	PROPN
ejpam-6556	363	36	)	)	PUNCT
ejpam-6556	363	37	)	)	PUNCT
ejpam-6556	364	1	dx	dx	PROPN
ejpam-6556	365	1	=	=	PUNCT
ejpam-6556	365	2	xγλ	xγλ	PROPN
ejpam-6556	365	3	(	(	PUNCT
ejpam-6556	365	4	la	la	X
ejpam-6556	365	5	+	+	X
ejpam-6556	365	6	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	365	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	365	8	−	−	PROPN
ejpam-6556	365	9	la	la	NOUN
ejpam-6556	365	10	)	)	PUNCT
ejpam-6556	365	11	)	)	PUNCT
ejpam-6556	365	12	∆ϱ	∆ϱ	PROPN
ejpam-6556	365	13	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	365	14	−	−	PROPN
ejpam-6556	365	15	la	la	PROPN
ejpam-6556	365	16	)	)	PUNCT
ejpam-6556	365	17	∣∣∣∣1	∣∣∣∣1	NOUN
ejpam-6556	365	18	0	0	NUM
ejpam-6556	365	19	−	−	PROPN
ejpam-6556	365	20	γ	γ	PROPN
ejpam-6556	365	21	∆ϱ	∆ϱ	PROPN
ejpam-6556	365	22	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	365	23	−	−	PROPN
ejpam-6556	365	24	la	la	PROPN
ejpam-6556	365	25	)	)	PUNCT
ejpam-6556	365	26	∫	∫	PROPN
ejpam-6556	365	27	1	1	NUM
ejpam-6556	365	28	0	0	NUM
ejpam-6556	365	29	λ	λ	X
ejpam-6556	365	30	(	(	PUNCT
ejpam-6556	365	31	la	la	X
ejpam-6556	365	32	+	+	X
ejpam-6556	365	33	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	365	34	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	365	35	−	−	PROPN
ejpam-6556	365	36	la	la	PROPN
ejpam-6556	365	37	)	)	PUNCT
ejpam-6556	365	38	)	)	PUNCT
ejpam-6556	366	1	xγ−1dx	xγ−1dx	X
ejpam-6556	367	1	=	=	PUNCT
ejpam-6556	367	2	λ(la	λ(la	SYM
ejpam-6556	367	3	+	+	SYM
ejpam-6556	367	4	∆ϱ	∆ϱ	PROPN
ejpam-6556	367	5	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	367	6	−	−	PROPN
ejpam-6556	367	7	la	la	NOUN
ejpam-6556	367	8	)	)	PUNCT
ejpam-6556	367	9	)	)	PUNCT
ejpam-6556	368	1	ω	ω	PROPN
ejpam-6556	368	2	(	(	PUNCT
ejpam-6556	368	3	lb	lb	NOUN
ejpam-6556	368	4	,	,	PUNCT
ejpam-6556	368	5	la	la	NOUN
ejpam-6556	368	6	)	)	PUNCT
ejpam-6556	368	7	−	−	PROPN
ejpam-6556	368	8	γ	γ	PROPN
ejpam-6556	368	9	∆ϱ	∆ϱ	PROPN
ejpam-6556	368	10	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	368	11	−	−	PROPN
ejpam-6556	368	12	la	la	PROPN
ejpam-6556	368	13	)	)	PUNCT
ejpam-6556	368	14	∫	∫	PROPN
ejpam-6556	368	15	1	1	NUM
ejpam-6556	368	16	0	0	NUM
ejpam-6556	368	17	xγ−1λ	xγ−1λ	PROPN
ejpam-6556	368	18	(	(	PUNCT
ejpam-6556	368	19	la	la	X
ejpam-6556	368	20	+	+	NUM
ejpam-6556	368	21	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	368	22	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	368	23	−	−	PROPN
ejpam-6556	368	24	la	la	PROPN
ejpam-6556	368	25	)	)	PUNCT
ejpam-6556	368	26	)	)	PUNCT
ejpam-6556	368	27	dx	dx	PROPN
ejpam-6556	368	28	=	=	PUNCT
ejpam-6556	369	1	λ(la	λ(la	PROPN
ejpam-6556	369	2	+	+	SYM
ejpam-6556	369	3	∆ϱ	∆ϱ	PROPN
ejpam-6556	369	4	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	369	5	−	−	PROPN
ejpam-6556	369	6	la	la	NOUN
ejpam-6556	369	7	)	)	PUNCT
ejpam-6556	369	8	)	)	PUNCT
ejpam-6556	369	9	∆ϱ	∆ϱ	PROPN
ejpam-6556	369	10	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	369	11	−	−	PROPN
ejpam-6556	369	12	la	la	PROPN
ejpam-6556	369	13	)	)	PUNCT
ejpam-6556	369	14	−	−	PROPN
ejpam-6556	369	15	γ	γ	PROPN
ejpam-6556	369	16	[	[	X
ejpam-6556	369	17	∆ϱ	∆ϱ	PROPN
ejpam-6556	369	18	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	369	19	−	−	PROPN
ejpam-6556	369	20	la	la	PROPN
ejpam-6556	369	21	)	)	PUNCT
ejpam-6556	369	22	]	]	PUNCT
ejpam-6556	370	1	γ+1	γ+1	NUM
ejpam-6556	370	2	∫	∫	PROPN
ejpam-6556	370	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	370	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	370	5	)	)	PUNCT
ejpam-6556	370	6	la	la	NOUN
ejpam-6556	370	7	(	(	PUNCT
ejpam-6556	370	8	u−	u−	PROPN
ejpam-6556	370	9	la	la	PROPN
ejpam-6556	370	10	)	)	PUNCT
ejpam-6556	370	11	γ−1	γ−1	PROPN
ejpam-6556	370	12	λ(u)du	λ(u)du	NUM
ejpam-6556	370	13	.	.	PUNCT
ejpam-6556	370	14	(	(	PUNCT
ejpam-6556	370	15	5.3	5.3	NUM
ejpam-6556	370	16	)	)	PUNCT
ejpam-6556	370	17	multiplying	multiply	VERB
ejpam-6556	370	18	both	both	DET
ejpam-6556	370	19	sides	side	NOUN
ejpam-6556	370	20	of	of	ADP
ejpam-6556	370	21	inequality	inequality	NOUN
ejpam-6556	370	22	(	(	PUNCT
ejpam-6556	370	23	5.3	5.3	NUM
ejpam-6556	370	24	)	)	PUNCT
ejpam-6556	370	25	by	by	ADP
ejpam-6556	370	26	−	−	PROPN
ejpam-6556	370	27	1	1	NUM
ejpam-6556	370	28	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	370	29	)	)	PUNCT
ejpam-6556	370	30	,	,	PUNCT
ejpam-6556	370	31	we	we	PRON
ejpam-6556	370	32	have	have	VERB
ejpam-6556	370	33	−	−	NUM
ejpam-6556	370	34	1	1	NUM
ejpam-6556	370	35	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	370	36	)	)	PUNCT
ejpam-6556	370	37	∫	∫	PROPN
ejpam-6556	370	38	1	1	NUM
ejpam-6556	370	39	0	0	NUM
ejpam-6556	370	40	xγλ′	xγλ′	PROPN
ejpam-6556	370	41	(	(	PUNCT
ejpam-6556	370	42	la	la	X
ejpam-6556	370	43	+	+	X
ejpam-6556	370	44	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	370	45	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	370	46	−	−	PROPN
ejpam-6556	370	47	la	la	PROPN
ejpam-6556	370	48	)	)	PUNCT
ejpam-6556	370	49	)	)	PUNCT
ejpam-6556	370	50	dx	dx	PROPN
ejpam-6556	371	1	=	=	NOUN
ejpam-6556	371	2	−	−	PROPN
ejpam-6556	371	3	λ	λ	X
ejpam-6556	371	4	(	(	PUNCT
ejpam-6556	371	5	la	la	PROPN
ejpam-6556	371	6	+	+	PROPN
ejpam-6556	371	7	∆ϱ	∆ϱ	PROPN
ejpam-6556	371	8	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	371	9	−	−	PROPN
ejpam-6556	371	10	la	la	NOUN
ejpam-6556	371	11	)	)	PUNCT
ejpam-6556	371	12	)	)	PUNCT
ejpam-6556	371	13	b(γ)γ(γ)∆ϱ	b(γ)γ(γ)∆ϱ	VERB
ejpam-6556	372	1	ϵ,σ(lb	ϵ,σ(lb	INTJ
ejpam-6556	372	2	−	−	PROPN
ejpam-6556	372	3	la	la	PROPN
ejpam-6556	372	4	)	)	PUNCT
ejpam-6556	372	5	+	+	CCONJ
ejpam-6556	372	6	γ	γ	NOUN
ejpam-6556	372	7	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	372	8	)	)	PUNCT
ejpam-6556	373	1	[	[	X
ejpam-6556	373	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	373	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	373	4	−	−	PROPN
ejpam-6556	373	5	la	la	PROPN
ejpam-6556	373	6	)	)	PUNCT
ejpam-6556	373	7	]	]	PUNCT
ejpam-6556	374	1	γ+1	γ+1	NUM
ejpam-6556	374	2	∫	∫	PROPN
ejpam-6556	374	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	374	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	374	5	)	)	PUNCT
ejpam-6556	374	6	la	la	NOUN
ejpam-6556	374	7	(	(	PUNCT
ejpam-6556	374	8	u−	u−	PROPN
ejpam-6556	374	9	la	la	PROPN
ejpam-6556	374	10	)	)	PUNCT
ejpam-6556	374	11	γ−1	γ−1	PROPN
ejpam-6556	374	12	λ(u)du	λ(u)du	NUM
ejpam-6556	374	13	.	.	PUNCT
ejpam-6556	375	1	then	then	ADV
ejpam-6556	375	2	we	we	PRON
ejpam-6556	375	3	can	can	AUX
ejpam-6556	375	4	write	write	VERB
ejpam-6556	375	5	−	−	PROPN
ejpam-6556	375	6	1	1	NUM
ejpam-6556	375	7	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	375	8	)	)	PUNCT
ejpam-6556	375	9	∫	∫	PROPN
ejpam-6556	375	10	1	1	NUM
ejpam-6556	375	11	0	0	NUM
ejpam-6556	375	12	xγλ′	xγλ′	PROPN
ejpam-6556	375	13	(	(	PUNCT
ejpam-6556	375	14	la	la	X
ejpam-6556	375	15	+	+	X
ejpam-6556	375	16	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	375	17	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	375	18	−	−	PROPN
ejpam-6556	375	19	la	la	PROPN
ejpam-6556	375	20	)	)	PUNCT
ejpam-6556	375	21	)	)	PUNCT
ejpam-6556	375	22	dx	dx	PROPN
ejpam-6556	376	1	=	=	SYM
ejpam-6556	377	1	−	−	PROPN
ejpam-6556	377	2	λ	λ	X
ejpam-6556	377	3	(	(	PUNCT
ejpam-6556	377	4	la	la	PROPN
ejpam-6556	377	5	+	+	PROPN
ejpam-6556	377	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	377	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	377	8	−	−	PROPN
ejpam-6556	377	9	la	la	NOUN
ejpam-6556	377	10	)	)	PUNCT
ejpam-6556	377	11	)	)	PUNCT
ejpam-6556	377	12	b(γ)γ(γ)∆ϱ	b(γ)γ(γ)∆ϱ	VERB
ejpam-6556	378	1	ϵ,σ(lb	ϵ,σ(lb	INTJ
ejpam-6556	378	2	−	−	PROPN
ejpam-6556	378	3	la	la	NOUN
ejpam-6556	378	4	)	)	PUNCT
ejpam-6556	379	1	+	+	CCONJ
ejpam-6556	379	2	1	1	NUM
ejpam-6556	379	3	[	[	X
ejpam-6556	379	4	∆ϱ	∆ϱ	PROPN
ejpam-6556	379	5	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	379	6	−	−	PROPN
ejpam-6556	379	7	la	la	PROPN
ejpam-6556	379	8	)	)	PUNCT
ejpam-6556	379	9	]	]	PUNCT
ejpam-6556	380	1	γ+1	γ+1	PROPN
ejpam-6556	380	2	[	[	PUNCT
ejpam-6556	380	3	γ	γ	X
ejpam-6556	380	4	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	380	5	)	)	PUNCT
ejpam-6556	380	6	∫	∫	PROPN
ejpam-6556	380	7	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	380	8	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	380	9	)	)	PUNCT
ejpam-6556	380	10	la	la	NOUN
ejpam-6556	380	11	(	(	PUNCT
ejpam-6556	380	12	u−	u−	PROPN
ejpam-6556	380	13	la	la	PROPN
ejpam-6556	380	14	)	)	PUNCT
ejpam-6556	380	15	γ−1	γ−1	PROPN
ejpam-6556	380	16	λ(u)du	λ(u)du	X
ejpam-6556	380	17	+	+	CCONJ
ejpam-6556	380	18	(	(	PUNCT
ejpam-6556	380	19	1−	1−	NUM
ejpam-6556	380	20	γ	γ	X
ejpam-6556	380	21	)	)	PUNCT
ejpam-6556	380	22	b(γ	b(γ	PROPN
ejpam-6556	380	23	)	)	PUNCT
ejpam-6556	380	24	λ	λ	PROPN
ejpam-6556	380	25	(	(	PUNCT
ejpam-6556	380	26	la	la	PROPN
ejpam-6556	380	27	)	)	PUNCT
ejpam-6556	380	28	]	]	PUNCT
ejpam-6556	381	1	−	−	PROPN
ejpam-6556	381	2	(	(	PUNCT
ejpam-6556	381	3	1−	1−	NUM
ejpam-6556	381	4	γ	γ	X
ejpam-6556	381	5	)	)	PUNCT
ejpam-6556	381	6	b(γ	b(γ	PROPN
ejpam-6556	381	7	)	)	PUNCT
ejpam-6556	382	1	[	[	X
ejpam-6556	382	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	382	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	382	4	−	−	PROPN
ejpam-6556	382	5	la	la	NOUN
ejpam-6556	382	6	)	)	PUNCT
ejpam-6556	382	7	]	]	PUNCT
ejpam-6556	383	1	γ+1λ	γ+1λ	PROPN
ejpam-6556	383	2	(	(	PUNCT
ejpam-6556	383	3	la	la	PROPN
ejpam-6556	383	4	)	)	PUNCT
ejpam-6556	383	5	.	.	PUNCT
ejpam-6556	384	1	using	use	VERB
ejpam-6556	384	2	abfio	abfio	PROPN
ejpam-6556	384	3	,	,	PUNCT
ejpam-6556	384	4	we	we	PRON
ejpam-6556	384	5	have	have	VERB
ejpam-6556	384	6	−	−	NUM
ejpam-6556	384	7	1	1	NUM
ejpam-6556	384	8	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	384	9	)	)	PUNCT
ejpam-6556	384	10	∫	∫	PROPN
ejpam-6556	384	11	1	1	NUM
ejpam-6556	384	12	0	0	NUM
ejpam-6556	384	13	xγλ′	xγλ′	PROPN
ejpam-6556	384	14	(	(	PUNCT
ejpam-6556	384	15	la	la	X
ejpam-6556	384	16	+	+	X
ejpam-6556	384	17	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	384	18	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	384	19	−	−	PROPN
ejpam-6556	384	20	la	la	PROPN
ejpam-6556	384	21	)	)	PUNCT
ejpam-6556	384	22	)	)	PUNCT
ejpam-6556	384	23	dx	dx	PROPN
ejpam-6556	385	1	=	=	NOUN
ejpam-6556	385	2	−	−	PROPN
ejpam-6556	385	3	λ	λ	X
ejpam-6556	385	4	(	(	PUNCT
ejpam-6556	385	5	la	la	PROPN
ejpam-6556	385	6	+	+	PROPN
ejpam-6556	385	7	∆ϱ	∆ϱ	PROPN
ejpam-6556	385	8	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	385	9	−	−	PROPN
ejpam-6556	385	10	la	la	NOUN
ejpam-6556	385	11	)	)	PUNCT
ejpam-6556	385	12	)	)	PUNCT
ejpam-6556	385	13	b(γ)γ(γ)∆ϱ	b(γ)γ(γ)∆ϱ	VERB
ejpam-6556	386	1	ϵ,σ(lb	ϵ,σ(lb	INTJ
ejpam-6556	386	2	−	−	PROPN
ejpam-6556	386	3	la	la	NOUN
ejpam-6556	386	4	)	)	PUNCT
ejpam-6556	387	1	+	+	CCONJ
ejpam-6556	387	2	1	1	NUM
ejpam-6556	387	3	[	[	X
ejpam-6556	387	4	∆ϱ	∆ϱ	PROPN
ejpam-6556	387	5	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	387	6	−	−	PROPN
ejpam-6556	387	7	la	la	PROPN
ejpam-6556	387	8	)	)	PUNCT
ejpam-6556	387	9	]	]	PUNCT
ejpam-6556	388	1	γ+1	γ+1	PROPN
ejpam-6556	388	2	[	[	PUNCT
ejpam-6556	388	3	abiγ	abiγ	NOUN
ejpam-6556	388	4	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	388	5	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	388	6	)	)	PUNCT
ejpam-6556	388	7	{	{	PUNCT
ejpam-6556	388	8	λ	λ	X
ejpam-6556	388	9	(	(	PUNCT
ejpam-6556	388	10	la	la	NOUN
ejpam-6556	388	11	)	)	PUNCT
ejpam-6556	388	12	}	}	PUNCT
ejpam-6556	388	13	]	]	PUNCT
ejpam-6556	388	14	−	−	PROPN
ejpam-6556	388	15	(	(	PUNCT
ejpam-6556	388	16	1−	1−	NUM
ejpam-6556	388	17	γ	γ	X
ejpam-6556	388	18	)	)	PUNCT
ejpam-6556	388	19	b(γ	b(γ	PROPN
ejpam-6556	388	20	)	)	PUNCT
ejpam-6556	389	1	[	[	X
ejpam-6556	389	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	389	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	389	4	−	−	PROPN
ejpam-6556	389	5	la	la	NOUN
ejpam-6556	389	6	)	)	PUNCT
ejpam-6556	389	7	]	]	PUNCT
ejpam-6556	390	1	γ+1λ	γ+1λ	PROPN
ejpam-6556	390	2	(	(	PUNCT
ejpam-6556	390	3	la	la	PROPN
ejpam-6556	390	4	)	)	PUNCT
ejpam-6556	390	5	.	.	PUNCT
ejpam-6556	391	1	(	(	PUNCT
ejpam-6556	391	2	5.4	5.4	NUM
ejpam-6556	391	3	)	)	PUNCT
ejpam-6556	391	4	by	by	ADP
ejpam-6556	391	5	adding	add	VERB
ejpam-6556	391	6	identities	identity	NOUN
ejpam-6556	391	7	(	(	PUNCT
ejpam-6556	391	8	5.2	5.2	NUM
ejpam-6556	391	9	)	)	PUNCT
ejpam-6556	391	10	and	and	CCONJ
ejpam-6556	391	11	(	(	PUNCT
ejpam-6556	391	12	5.4	5.4	NUM
ejpam-6556	391	13	)	)	PUNCT
ejpam-6556	391	14	,	,	PUNCT
ejpam-6556	391	15	we	we	PRON
ejpam-6556	391	16	obtain	obtain	VERB
ejpam-6556	391	17	the	the	DET
ejpam-6556	391	18	proof	proof	NOUN
ejpam-6556	391	19	of	of	ADP
ejpam-6556	391	20	lemma	lemma	PROPN
ejpam-6556	391	21	1	1	NUM
ejpam-6556	391	22	.	.	PUNCT
ejpam-6556	391	23	m.	m.	NOUN
ejpam-6556	391	24	tariq	tariq	PROPN
ejpam-6556	391	25	et	et	PROPN
ejpam-6556	391	26	al	al	PROPN
ejpam-6556	391	27	.	.	PUNCT
ejpam-6556	391	28	/	/	SYM
ejpam-6556	391	29	eur	eur	PROPN
ejpam-6556	391	30	.	.	PUNCT
ejpam-6556	392	1	j.	j.	PROPN
ejpam-6556	392	2	pure	pure	PROPN
ejpam-6556	392	3	appl	appl	PROPN
ejpam-6556	392	4	.	.	PROPN
ejpam-6556	392	5	math	math	PROPN
ejpam-6556	392	6	,	,	PUNCT
ejpam-6556	392	7	18	18	NUM
ejpam-6556	392	8	(	(	PUNCT
ejpam-6556	392	9	3	3	NUM
ejpam-6556	392	10	)	)	PUNCT
ejpam-6556	392	11	(	(	PUNCT
ejpam-6556	392	12	2025	2025	NUM
ejpam-6556	392	13	)	)	PUNCT
ejpam-6556	392	14	,	,	PUNCT
ejpam-6556	392	15	6556	6556	NUM
ejpam-6556	392	16	14	14	NUM
ejpam-6556	392	17	of	of	ADP
ejpam-6556	392	18	28	28	NUM
ejpam-6556	392	19	remark	remark	NOUN
ejpam-6556	392	20	4	4	NUM
ejpam-6556	392	21	.	.	PUNCT
ejpam-6556	393	1	if	if	SCONJ
ejpam-6556	393	2	we	we	PRON
ejpam-6556	393	3	put	put	VERB
ejpam-6556	393	4	∆ϱ	∆ϱ	NOUN
ejpam-6556	393	5	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	393	6	−	−	PROPN
ejpam-6556	393	7	la	la	PROPN
ejpam-6556	393	8	)	)	PUNCT
ejpam-6556	393	9	=	=	SYM
ejpam-6556	394	1	lb	lb	DET
ejpam-6556	394	2	−	−	PROPN
ejpam-6556	394	3	la	la	NOUN
ejpam-6556	394	4	in	in	ADP
ejpam-6556	394	5	lemma	lemma	PROPN
ejpam-6556	394	6	1	1	NUM
ejpam-6556	394	7	then	then	ADV
ejpam-6556	394	8	we	we	PRON
ejpam-6556	394	9	have	have	VERB
ejpam-6556	394	10	the	the	DET
ejpam-6556	394	11	result	result	NOUN
ejpam-6556	394	12	in	in	ADP
ejpam-6556	394	13	[	[	X
ejpam-6556	394	14	51	51	NUM
ejpam-6556	394	15	,	,	PUNCT
ejpam-6556	394	16	theorem	theorem	VERB
ejpam-6556	394	17	3.1	3.1	NUM
ejpam-6556	394	18	]	]	PUNCT
ejpam-6556	394	19	,	,	PUNCT
ejpam-6556	394	20	equality	equality	NOUN
ejpam-6556	394	21	(	(	PUNCT
ejpam-6556	394	22	29	29	NUM
ejpam-6556	394	23	)	)	PUNCT
ejpam-6556	394	24	.	.	PUNCT
ejpam-6556	395	1	theorem	theorem	NOUN
ejpam-6556	395	2	9	9	NUM
ejpam-6556	395	3	.	.	PUNCT
ejpam-6556	396	1	let	let	VERB
ejpam-6556	396	2	i	i	PRON
ejpam-6556	396	3	⊆	⊆	NUM
ejpam-6556	396	4	r	r	NOUN
ejpam-6556	396	5	be	be	VERB
ejpam-6556	396	6	an	an	DET
ejpam-6556	396	7	open	open	ADJ
ejpam-6556	396	8	and	and	CCONJ
ejpam-6556	396	9	non	non	ADJ
ejpam-6556	396	10	-	-	ADJ
ejpam-6556	396	11	empty	empty	ADJ
ejpam-6556	396	12	convex	convex	NOUN
ejpam-6556	396	13	set	set	NOUN
ejpam-6556	396	14	and	and	CCONJ
ejpam-6556	396	15	la	la	NOUN
ejpam-6556	396	16	,	,	PUNCT
ejpam-6556	396	17	lb	lb	PRON
ejpam-6556	396	18	∈	∈	NOUN
ejpam-6556	396	19	i	i	X
ejpam-6556	396	20	with	with	ADP
ejpam-6556	396	21	la	la	X
ejpam-6556	396	22	<	<	X
ejpam-6556	396	23	la	la	PROPN
ejpam-6556	396	24	+	+	PROPN
ejpam-6556	396	25	∆ϱ	∆ϱ	PROPN
ejpam-6556	396	26	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	396	27	−	−	PROPN
ejpam-6556	396	28	la	la	PROPN
ejpam-6556	396	29	)	)	PUNCT
ejpam-6556	396	30	.	.	PUNCT
ejpam-6556	397	1	suppose	suppose	VERB
ejpam-6556	397	2	that	that	SCONJ
ejpam-6556	397	3	λ	λ	X
ejpam-6556	397	4	:	:	PUNCT
ejpam-6556	397	5	i	i	PRON
ejpam-6556	397	6	→	→	PUNCT
ejpam-6556	397	7	r	r	NOUN
ejpam-6556	397	8	is	be	AUX
ejpam-6556	397	9	a	a	DET
ejpam-6556	397	10	differentiable	differentiable	ADJ
ejpam-6556	397	11	function	function	NOUN
ejpam-6556	397	12	and	and	CCONJ
ejpam-6556	397	13	λ′	λ′	X
ejpam-6556	397	14	∈	∈	PROPN
ejpam-6556	397	15	l	l	NOUN
ejpam-6556	398	1	[	[	X
ejpam-6556	398	2	la	la	X
ejpam-6556	398	3	,	,	PUNCT
ejpam-6556	398	4	la	la	PROPN
ejpam-6556	398	5	+	+	PROPN
ejpam-6556	398	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	398	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	398	8	−	−	PROPN
ejpam-6556	398	9	la	la	PROPN
ejpam-6556	398	10	)	)	PUNCT
ejpam-6556	398	11	]	]	PUNCT
ejpam-6556	398	12	.	.	PUNCT
ejpam-6556	399	1	if	if	SCONJ
ejpam-6556	399	2	|λ′|	|λ′|	PROPN
ejpam-6556	399	3	is	be	AUX
ejpam-6556	399	4	gcrf	gcrf	NOUN
ejpam-6556	399	5	,	,	PUNCT
ejpam-6556	399	6	then	then	ADV
ejpam-6556	399	7	we	we	PRON
ejpam-6556	399	8	have	have	VERB
ejpam-6556	399	9	the	the	DET
ejpam-6556	399	10	following	follow	VERB
ejpam-6556	399	11	inequality	inequality	NOUN
ejpam-6556	399	12	for	for	ADP
ejpam-6556	399	13	abfio	abfio	NOUN
ejpam-6556	399	14	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-6556	399	15	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	399	16	)	)	PUNCT
ejpam-6556	400	1	[	[	X
ejpam-6556	400	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	400	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	400	4	−	−	PROPN
ejpam-6556	400	5	la	la	PROPN
ejpam-6556	400	6	)	)	PUNCT
ejpam-6556	400	7	]	]	PUNCT
ejpam-6556	401	1	γ+1	γ+1	PROPN
ejpam-6556	401	2	[	[	PUNCT
ejpam-6556	401	3	ab	ab	PROPN
ejpam-6556	401	4	mlai	mlai	PROPN
ejpam-6556	401	5	γ	γ	PROPN
ejpam-6556	401	6	{	{	PUNCT
ejpam-6556	401	7	λ	λ	X
ejpam-6556	401	8	(	(	PUNCT
ejpam-6556	401	9	la	la	PROPN
ejpam-6556	401	10	+	+	PROPN
ejpam-6556	401	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	401	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	401	13	−	−	PROPN
ejpam-6556	401	14	la	la	PROPN
ejpam-6556	401	15	)	)	PUNCT
ejpam-6556	401	16	)	)	PUNCT
ejpam-6556	401	17	}	}	PUNCT
ejpam-6556	402	1	+	+	NUM
ejpam-6556	402	2	abiγ	abiγ	NOUN
ejpam-6556	402	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	402	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	402	5	)	)	PUNCT
ejpam-6556	402	6	{	{	PUNCT
ejpam-6556	402	7	λ	λ	X
ejpam-6556	402	8	(	(	PUNCT
ejpam-6556	402	9	la	la	NOUN
ejpam-6556	402	10	)	)	PUNCT
ejpam-6556	402	11	}	}	PUNCT
ejpam-6556	402	12	]	]	PUNCT
ejpam-6556	402	13	−	−	PROPN
ejpam-6556	403	1	(	(	PUNCT
ejpam-6556	403	2	[	[	X
ejpam-6556	403	3	∆ϱ	∆ϱ	PROPN
ejpam-6556	403	4	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	403	5	−	−	PROPN
ejpam-6556	403	6	la	la	PROPN
ejpam-6556	403	7	)	)	PUNCT
ejpam-6556	403	8	]	]	PUNCT
ejpam-6556	404	1	γ	γ	X
ejpam-6556	404	2	+	+	X
ejpam-6556	404	3	(	(	PUNCT
ejpam-6556	404	4	1−	1−	NUM
ejpam-6556	404	5	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	404	6	)	)	PUNCT
ejpam-6556	405	1	[	[	X
ejpam-6556	405	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	405	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	405	4	−	−	PROPN
ejpam-6556	405	5	la	la	PROPN
ejpam-6556	405	6	)	)	PUNCT
ejpam-6556	405	7	]	]	PUNCT
ejpam-6556	406	1	γ+1	γ+1	X
ejpam-6556	406	2	)	)	PUNCT
ejpam-6556	406	3	[	[	PUNCT
ejpam-6556	406	4	λ	λ	X
ejpam-6556	406	5	(	(	PUNCT
ejpam-6556	406	6	la	la	ADJ
ejpam-6556	406	7	)	)	PUNCT
ejpam-6556	407	1	+	+	NUM
ejpam-6556	407	2	λ	λ	X
ejpam-6556	407	3	(	(	PUNCT
ejpam-6556	407	4	la	la	PROPN
ejpam-6556	407	5	+	+	PROPN
ejpam-6556	407	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	407	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	407	8	−	−	PROPN
ejpam-6556	407	9	la	la	PROPN
ejpam-6556	407	10	)	)	PUNCT
ejpam-6556	407	11	)	)	PUNCT
ejpam-6556	408	1	]	]	PUNCT
ejpam-6556	408	2	∣∣∣∣∣	∣∣∣∣∣	ADJ
ejpam-6556	408	3	≤	≤	ADJ
ejpam-6556	408	4	|λ′	|λ′	NOUN
ejpam-6556	408	5	(	(	PUNCT
ejpam-6556	408	6	la)|+	la)|+	NOUN
ejpam-6556	408	7	|λ′	|λ′	NOUN
ejpam-6556	408	8	(	(	PUNCT
ejpam-6556	408	9	lb)|	lb)|	PROPN
ejpam-6556	408	10	γ	γ	NOUN
ejpam-6556	408	11	+	+	ADP
ejpam-6556	408	12	1	1	NUM
ejpam-6556	408	13	,	,	PUNCT
ejpam-6556	408	14	where	where	SCONJ
ejpam-6556	408	15	γ	γ	X
ejpam-6556	408	16	∈	∈	PROPN
ejpam-6556	408	17	(	(	PUNCT
ejpam-6556	408	18	0	0	NUM
ejpam-6556	408	19	,	,	PUNCT
ejpam-6556	408	20	1	1	NUM
ejpam-6556	408	21	]	]	PUNCT
ejpam-6556	408	22	.	.	PUNCT
ejpam-6556	409	1	proof	proof	NOUN
ejpam-6556	409	2	.	.	PUNCT
ejpam-6556	410	1	using	use	VERB
ejpam-6556	410	2	the	the	DET
ejpam-6556	410	3	identity	identity	NOUN
ejpam-6556	410	4	given	give	VERB
ejpam-6556	410	5	in	in	ADP
ejpam-6556	410	6	lemma	lemma	PROPN
ejpam-6556	410	7	1	1	NUM
ejpam-6556	410	8	and	and	CCONJ
ejpam-6556	410	9	the	the	DET
ejpam-6556	410	10	properties	property	NOUN
ejpam-6556	410	11	of	of	ADP
ejpam-6556	410	12	the	the	DET
ejpam-6556	410	13	modulus	modulus	NOUN
ejpam-6556	410	14	,	,	PUNCT
ejpam-6556	410	15	we	we	PRON
ejpam-6556	410	16	can	can	AUX
ejpam-6556	410	17	write	write	VERB
ejpam-6556	410	18	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-6556	410	19	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	410	20	)	)	PUNCT
ejpam-6556	411	1	[	[	X
ejpam-6556	411	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	411	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	411	4	−	−	PROPN
ejpam-6556	411	5	la	la	PROPN
ejpam-6556	411	6	)	)	PUNCT
ejpam-6556	411	7	]	]	PUNCT
ejpam-6556	412	1	γ+1	γ+1	PROPN
ejpam-6556	412	2	[	[	PUNCT
ejpam-6556	412	3	ab	ab	X
ejpam-6556	412	4	la	la	PROPN
ejpam-6556	412	5	iγ	iγ	PROPN
ejpam-6556	412	6	{	{	PUNCT
ejpam-6556	412	7	λ	λ	X
ejpam-6556	412	8	(	(	PUNCT
ejpam-6556	412	9	la	la	PROPN
ejpam-6556	412	10	+	+	PROPN
ejpam-6556	412	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	412	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	412	13	−	−	PROPN
ejpam-6556	412	14	la	la	PROPN
ejpam-6556	412	15	)	)	PUNCT
ejpam-6556	412	16	)	)	PUNCT
ejpam-6556	412	17	}	}	PUNCT
ejpam-6556	413	1	+	+	NUM
ejpam-6556	413	2	abiγ	abiγ	NOUN
ejpam-6556	413	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	413	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	413	5	)	)	PUNCT
ejpam-6556	413	6	{	{	PUNCT
ejpam-6556	413	7	λ	λ	X
ejpam-6556	413	8	(	(	PUNCT
ejpam-6556	413	9	la	la	NOUN
ejpam-6556	413	10	)	)	PUNCT
ejpam-6556	413	11	}	}	PUNCT
ejpam-6556	413	12	]	]	PUNCT
ejpam-6556	413	13	−	−	PROPN
ejpam-6556	414	1	(	(	PUNCT
ejpam-6556	414	2	[	[	X
ejpam-6556	414	3	∆ϱ	∆ϱ	PROPN
ejpam-6556	414	4	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	414	5	−	−	PROPN
ejpam-6556	414	6	la	la	PROPN
ejpam-6556	414	7	)	)	PUNCT
ejpam-6556	414	8	]	]	PUNCT
ejpam-6556	415	1	γ	γ	X
ejpam-6556	415	2	+	+	X
ejpam-6556	415	3	(	(	PUNCT
ejpam-6556	415	4	1−	1−	NUM
ejpam-6556	415	5	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	415	6	)	)	PUNCT
ejpam-6556	416	1	[	[	X
ejpam-6556	416	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	416	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	416	4	−	−	PROPN
ejpam-6556	416	5	la	la	PROPN
ejpam-6556	416	6	)	)	PUNCT
ejpam-6556	416	7	]	]	PUNCT
ejpam-6556	417	1	γ+1	γ+1	X
ejpam-6556	417	2	)	)	PUNCT
ejpam-6556	417	3	[	[	PUNCT
ejpam-6556	417	4	λ	λ	X
ejpam-6556	417	5	(	(	PUNCT
ejpam-6556	417	6	la	la	ADJ
ejpam-6556	417	7	)	)	PUNCT
ejpam-6556	418	1	+	+	NUM
ejpam-6556	418	2	λ	λ	X
ejpam-6556	418	3	(	(	PUNCT
ejpam-6556	418	4	la	la	PROPN
ejpam-6556	418	5	+	+	PROPN
ejpam-6556	418	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	418	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	418	8	−	−	PROPN
ejpam-6556	418	9	la	la	PROPN
ejpam-6556	418	10	)	)	PUNCT
ejpam-6556	418	11	)	)	PUNCT
ejpam-6556	419	1	]	]	PUNCT
ejpam-6556	419	2	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-6556	419	3	=	=	SYM
ejpam-6556	419	4	∣∣∣∣∫	∣∣∣∣∫	PRON
ejpam-6556	420	1	1	1	NUM
ejpam-6556	420	2	0	0	NUM
ejpam-6556	420	3	(	(	PUNCT
ejpam-6556	420	4	1−	1−	NUM
ejpam-6556	420	5	x)γλ′	x)γλ′	PROPN
ejpam-6556	420	6	(	(	PUNCT
ejpam-6556	420	7	la	la	X
ejpam-6556	420	8	+	+	NUM
ejpam-6556	420	9	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	420	10	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	420	11	−	−	PROPN
ejpam-6556	420	12	la	la	NOUN
ejpam-6556	420	13	)	)	PUNCT
ejpam-6556	420	14	)	)	PUNCT
ejpam-6556	421	1	dx−	dx−	X
ejpam-6556	421	2	∫	∫	PROPN
ejpam-6556	421	3	1	1	NUM
ejpam-6556	421	4	0	0	NUM
ejpam-6556	421	5	xγλ′	xγλ′	PROPN
ejpam-6556	421	6	(	(	PUNCT
ejpam-6556	421	7	la	la	X
ejpam-6556	421	8	+	+	X
ejpam-6556	421	9	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	421	10	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	421	11	−	−	PROPN
ejpam-6556	421	12	la	la	PROPN
ejpam-6556	421	13	)	)	PUNCT
ejpam-6556	421	14	)	)	PUNCT
ejpam-6556	421	15	dx	dx	PROPN
ejpam-6556	421	16	∣∣∣∣	∣∣∣∣	PROPN
ejpam-6556	421	17	≤	≤	PROPN
ejpam-6556	421	18	∫	∫	PROPN
ejpam-6556	421	19	1	1	NUM
ejpam-6556	421	20	0	0	NUM
ejpam-6556	421	21	(	(	PUNCT
ejpam-6556	421	22	1−	1−	NUM
ejpam-6556	421	23	x)γ	x)γ	PUNCT
ejpam-6556	421	24	∣∣λ′	∣∣λ′	NOUN
ejpam-6556	421	25	(	(	PUNCT
ejpam-6556	421	26	la	la	X
ejpam-6556	421	27	+	+	X
ejpam-6556	421	28	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	421	29	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	421	30	−	−	PROPN
ejpam-6556	421	31	la	la	PROPN
ejpam-6556	421	32	)	)	PUNCT
ejpam-6556	421	33	)	)	PUNCT
ejpam-6556	422	1	∣∣	∣∣	X
ejpam-6556	422	2	dx+	dx+	ADV
ejpam-6556	422	3	∫	∫	PROPN
ejpam-6556	422	4	1	1	NUM
ejpam-6556	422	5	0	0	NUM
ejpam-6556	422	6	xγ	xγ	PROPN
ejpam-6556	422	7	∣∣λ′	∣∣λ′	PROPN
ejpam-6556	422	8	(	(	PUNCT
ejpam-6556	422	9	la	la	X
ejpam-6556	422	10	+	+	NUM
ejpam-6556	422	11	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	422	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	422	13	−	−	PROPN
ejpam-6556	422	14	la	la	PROPN
ejpam-6556	422	15	)	)	PUNCT
ejpam-6556	422	16	)	)	PUNCT
ejpam-6556	423	1	∣∣	∣∣	PROPN
ejpam-6556	424	1	dx	dx	PROPN
ejpam-6556	424	2	.	.	PUNCT
ejpam-6556	425	1	since	since	SCONJ
ejpam-6556	425	2	|λ′|	|λ′|	PROPN
ejpam-6556	425	3	is	be	AUX
ejpam-6556	425	4	gcrf	gcrf	NOUN
ejpam-6556	425	5	,	,	PUNCT
ejpam-6556	425	6	we	we	PRON
ejpam-6556	425	7	obtain∣∣∣∣∣	obtain∣∣∣∣∣	ADJ
ejpam-6556	425	8	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	425	9	)	)	PUNCT
ejpam-6556	426	1	[	[	X
ejpam-6556	426	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	426	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	426	4	−	−	PROPN
ejpam-6556	426	5	la	la	PROPN
ejpam-6556	426	6	)	)	PUNCT
ejpam-6556	426	7	]	]	PUNCT
ejpam-6556	427	1	γ+1	γ+1	PROPN
ejpam-6556	427	2	[	[	PUNCT
ejpam-6556	427	3	ab	ab	X
ejpam-6556	427	4	la	la	PROPN
ejpam-6556	427	5	iγ	iγ	PROPN
ejpam-6556	427	6	{	{	PUNCT
ejpam-6556	427	7	λ	λ	X
ejpam-6556	427	8	(	(	PUNCT
ejpam-6556	427	9	la	la	PROPN
ejpam-6556	427	10	+	+	PROPN
ejpam-6556	427	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	427	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	427	13	−	−	PROPN
ejpam-6556	427	14	la	la	PROPN
ejpam-6556	427	15	)	)	PUNCT
ejpam-6556	427	16	)	)	PUNCT
ejpam-6556	427	17	}	}	PUNCT
ejpam-6556	428	1	+	+	NUM
ejpam-6556	428	2	abiγ	abiγ	NOUN
ejpam-6556	428	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	428	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	428	5	)	)	PUNCT
ejpam-6556	428	6	{	{	PUNCT
ejpam-6556	428	7	λ	λ	X
ejpam-6556	428	8	(	(	PUNCT
ejpam-6556	428	9	la	la	NOUN
ejpam-6556	428	10	)	)	PUNCT
ejpam-6556	428	11	}	}	PUNCT
ejpam-6556	428	12	]	]	PUNCT
ejpam-6556	428	13	−	−	PROPN
ejpam-6556	429	1	(	(	PUNCT
ejpam-6556	429	2	[	[	X
ejpam-6556	429	3	∆ϱ	∆ϱ	PROPN
ejpam-6556	429	4	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	429	5	−	−	PROPN
ejpam-6556	429	6	la	la	PROPN
ejpam-6556	429	7	)	)	PUNCT
ejpam-6556	429	8	]	]	PUNCT
ejpam-6556	430	1	γ	γ	X
ejpam-6556	430	2	+	+	X
ejpam-6556	430	3	(	(	PUNCT
ejpam-6556	430	4	1−	1−	NUM
ejpam-6556	430	5	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	430	6	)	)	PUNCT
ejpam-6556	431	1	[	[	X
ejpam-6556	431	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	431	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	431	4	−	−	PROPN
ejpam-6556	431	5	la	la	PROPN
ejpam-6556	431	6	)	)	PUNCT
ejpam-6556	431	7	]	]	PUNCT
ejpam-6556	432	1	γ+1	γ+1	X
ejpam-6556	432	2	)	)	PUNCT
ejpam-6556	432	3	[	[	PUNCT
ejpam-6556	432	4	λ	λ	X
ejpam-6556	432	5	(	(	PUNCT
ejpam-6556	432	6	la	la	ADJ
ejpam-6556	432	7	)	)	PUNCT
ejpam-6556	433	1	+	+	NUM
ejpam-6556	433	2	λ	λ	X
ejpam-6556	433	3	(	(	PUNCT
ejpam-6556	433	4	la	la	PROPN
ejpam-6556	433	5	+	+	PROPN
ejpam-6556	433	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	433	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	433	8	−	−	PROPN
ejpam-6556	433	9	la	la	PROPN
ejpam-6556	433	10	)	)	PUNCT
ejpam-6556	433	11	)	)	PUNCT
ejpam-6556	434	1	]	]	PUNCT
ejpam-6556	434	2	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-6556	434	3	≤	≤	NUM
ejpam-6556	434	4	∫	∫	PROPN
ejpam-6556	434	5	1	1	NUM
ejpam-6556	434	6	0	0	NUM
ejpam-6556	434	7	(	(	PUNCT
ejpam-6556	434	8	1−	1−	NUM
ejpam-6556	434	9	x)γ	x)γ	PUNCT
ejpam-6556	434	10	[	[	PUNCT
ejpam-6556	434	11	(	(	PUNCT
ejpam-6556	434	12	1−	1−	NUM
ejpam-6556	434	13	x	x	NOUN
ejpam-6556	434	14	)	)	PUNCT
ejpam-6556	434	15	∣∣λ′	∣∣λ′	NOUN
ejpam-6556	434	16	(	(	PUNCT
ejpam-6556	434	17	la	la	NOUN
ejpam-6556	434	18	)	)	PUNCT
ejpam-6556	434	19	∣∣+	∣∣+	NOUN
ejpam-6556	435	1	x	x	X
ejpam-6556	435	2	∣∣λ′	∣∣λ′	PROPN
ejpam-6556	435	3	(	(	PUNCT
ejpam-6556	435	4	lb	lb	NOUN
ejpam-6556	435	5	)	)	PUNCT
ejpam-6556	435	6	∣∣	∣∣	ADJ
ejpam-6556	435	7	]	]	X
ejpam-6556	435	8	dx+	dx+	ADJ
ejpam-6556	435	9	∫	∫	PROPN
ejpam-6556	435	10	1	1	NUM
ejpam-6556	435	11	0	0	NUM
ejpam-6556	435	12	xγ	xγ	NOUN
ejpam-6556	435	13	[	[	PUNCT
ejpam-6556	435	14	(	(	PUNCT
ejpam-6556	435	15	1−	1−	NUM
ejpam-6556	435	16	x	x	NOUN
ejpam-6556	435	17	)	)	PUNCT
ejpam-6556	435	18	∣∣λ′	∣∣λ′	NOUN
ejpam-6556	435	19	(	(	PUNCT
ejpam-6556	435	20	la	la	NOUN
ejpam-6556	435	21	)	)	PUNCT
ejpam-6556	435	22	∣∣+	∣∣+	NOUN
ejpam-6556	436	1	x	x	X
ejpam-6556	436	2	∣∣λ′	∣∣λ′	PROPN
ejpam-6556	436	3	(	(	PUNCT
ejpam-6556	436	4	lb	lb	NOUN
ejpam-6556	436	5	)	)	PUNCT
ejpam-6556	436	6	∣∣	∣∣	X
ejpam-6556	436	7	]	]	X
ejpam-6556	436	8	dx	dx	PROPN
ejpam-6556	436	9	=	=	SYM
ejpam-6556	436	10	|λ′	|λ′	PROPN
ejpam-6556	436	11	(	(	PUNCT
ejpam-6556	436	12	la)|+	la)|+	NOUN
ejpam-6556	436	13	|λ′	|λ′	NOUN
ejpam-6556	436	14	(	(	PUNCT
ejpam-6556	436	15	lb)|	lb)|	PROPN
ejpam-6556	436	16	γ	γ	NOUN
ejpam-6556	436	17	+	+	X
ejpam-6556	436	18	1	1	NUM
ejpam-6556	436	19	.	.	PUNCT
ejpam-6556	437	1	so	so	ADV
ejpam-6556	437	2	,	,	PUNCT
ejpam-6556	437	3	the	the	DET
ejpam-6556	437	4	proof	proof	NOUN
ejpam-6556	437	5	is	be	AUX
ejpam-6556	437	6	completed	complete	VERB
ejpam-6556	437	7	.	.	PUNCT
ejpam-6556	438	1	m.	m.	NOUN
ejpam-6556	438	2	tariq	tariq	PROPN
ejpam-6556	438	3	et	et	PROPN
ejpam-6556	438	4	al	al	PROPN
ejpam-6556	438	5	.	.	PUNCT
ejpam-6556	438	6	/	/	SYM
ejpam-6556	438	7	eur	eur	PROPN
ejpam-6556	438	8	.	.	PUNCT
ejpam-6556	439	1	j.	j.	PROPN
ejpam-6556	439	2	pure	pure	PROPN
ejpam-6556	439	3	appl	appl	PROPN
ejpam-6556	439	4	.	.	PROPN
ejpam-6556	439	5	math	math	PROPN
ejpam-6556	439	6	,	,	PUNCT
ejpam-6556	439	7	18	18	NUM
ejpam-6556	439	8	(	(	PUNCT
ejpam-6556	439	9	3	3	NUM
ejpam-6556	439	10	)	)	PUNCT
ejpam-6556	439	11	(	(	PUNCT
ejpam-6556	439	12	2025	2025	NUM
ejpam-6556	439	13	)	)	PUNCT
ejpam-6556	439	14	,	,	PUNCT
ejpam-6556	439	15	6556	6556	NUM
ejpam-6556	439	16	15	15	NUM
ejpam-6556	439	17	of	of	ADP
ejpam-6556	439	18	28	28	NUM
ejpam-6556	439	19	remark	remark	NOUN
ejpam-6556	439	20	5	5	NUM
ejpam-6556	439	21	.	.	PUNCT
ejpam-6556	439	22	considering	consider	VERB
ejpam-6556	439	23	theorem	theorem	VERB
ejpam-6556	439	24	9	9	NUM
ejpam-6556	439	25	,	,	PUNCT
ejpam-6556	439	26	we	we	PRON
ejpam-6556	439	27	establish	establish	VERB
ejpam-6556	439	28	the	the	DET
ejpam-6556	439	29	following	follow	VERB
ejpam-6556	439	30	new	new	ADJ
ejpam-6556	439	31	mathematical	mathematical	ADJ
ejpam-6556	439	32	approach	approach	NOUN
ejpam-6556	439	33	of	of	ADP
ejpam-6556	439	34	hermite	hermite	PROPN
ejpam-6556	439	35	-	-	PUNCT
ejpam-6556	439	36	hadamard	hadamard	ADJ
ejpam-6556	439	37	inequality	inequality	NOUN
ejpam-6556	439	38	pertaining	pertain	VERB
ejpam-6556	439	39	to	to	ADP
ejpam-6556	439	40	the	the	DET
ejpam-6556	439	41	classical	classical	ADJ
ejpam-6556	439	42	mittag	mittag	ADJ
ejpam-6556	439	43	-	-	PUNCT
ejpam-6556	439	44	leffler	leffler	NOUN
ejpam-6556	439	45	function	function	NOUN
ejpam-6556	439	46	via	via	ADP
ejpam-6556	439	47	abfio	abfio	PROPN
ejpam-6556	439	48	if	if	SCONJ
ejpam-6556	439	49	we	we	PRON
ejpam-6556	439	50	pick	pick	VERB
ejpam-6556	439	51	ϱ	ϱ	ADP
ejpam-6556	439	52	=	=	SYM
ejpam-6556	439	53	(	(	PUNCT
ejpam-6556	439	54	1	1	NUM
ejpam-6556	439	55	,	,	PUNCT
ejpam-6556	439	56	1	1	NUM
ejpam-6556	439	57	,	,	PUNCT
ejpam-6556	439	58	.	.	PUNCT
ejpam-6556	439	59	.	.	PUNCT
ejpam-6556	439	60	.	.	PUNCT
ejpam-6556	439	61	)	)	PUNCT
ejpam-6556	440	1	with	with	ADP
ejpam-6556	440	2	ϵ	ϵ	PROPN
ejpam-6556	440	3	=	=	SYM
ejpam-6556	440	4	α	α	PROPN
ejpam-6556	440	5	and	and	CCONJ
ejpam-6556	440	6	σ	σ	NUM
ejpam-6556	440	7	=	=	PROPN
ejpam-6556	440	8	1:∣∣∣∣	1:∣∣∣∣	NUM
ejpam-6556	440	9	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	440	10	)	)	PUNCT
ejpam-6556	440	11	[	[	X
ejpam-6556	440	12	eα(lb	eα(lb	X
ejpam-6556	440	13	−	−	X
ejpam-6556	440	14	la	la	NOUN
ejpam-6556	440	15	)	)	PUNCT
ejpam-6556	440	16	]	]	PUNCT
ejpam-6556	441	1	γ+1	γ+1	PROPN
ejpam-6556	441	2	[	[	PUNCT
ejpam-6556	441	3	ab	ab	X
ejpam-6556	441	4	la	la	PROPN
ejpam-6556	441	5	iγ	iγ	PROPN
ejpam-6556	441	6	{	{	PUNCT
ejpam-6556	441	7	λ	λ	X
ejpam-6556	441	8	(	(	PUNCT
ejpam-6556	441	9	la	la	PROPN
ejpam-6556	441	10	+	+	CCONJ
ejpam-6556	441	11	eα(lb	eα(lb	ADJ
ejpam-6556	441	12	−	−	PROPN
ejpam-6556	441	13	la))}+	la))}+	NOUN
ejpam-6556	441	14	abiγla+eα(lb−la	abiγla+eα(lb−la	NOUN
ejpam-6556	441	15	)	)	PUNCT
ejpam-6556	441	16	{	{	PUNCT
ejpam-6556	441	17	λ	λ	X
ejpam-6556	441	18	(	(	PUNCT
ejpam-6556	441	19	la	la	NOUN
ejpam-6556	441	20	)	)	PUNCT
ejpam-6556	441	21	}	}	PUNCT
ejpam-6556	441	22	]	]	PUNCT
ejpam-6556	441	23	−	−	PROPN
ejpam-6556	441	24	(	(	PUNCT
ejpam-6556	441	25	[	[	X
ejpam-6556	441	26	eα(lb	eα(lb	X
ejpam-6556	441	27	−	−	NOUN
ejpam-6556	441	28	la	la	NOUN
ejpam-6556	441	29	)	)	PUNCT
ejpam-6556	441	30	]	]	PUNCT
ejpam-6556	442	1	γ	γ	X
ejpam-6556	442	2	+	+	X
ejpam-6556	442	3	(	(	PUNCT
ejpam-6556	442	4	1−	1−	NUM
ejpam-6556	442	5	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	442	6	)	)	PUNCT
ejpam-6556	443	1	[	[	X
ejpam-6556	443	2	eα(lb	eα(lb	X
ejpam-6556	443	3	−	−	X
ejpam-6556	443	4	la	la	NOUN
ejpam-6556	443	5	)	)	PUNCT
ejpam-6556	443	6	]	]	PUNCT
ejpam-6556	444	1	γ+1	γ+1	X
ejpam-6556	444	2	)	)	PUNCT
ejpam-6556	445	1	[	[	X
ejpam-6556	445	2	λ	λ	X
ejpam-6556	445	3	(	(	PUNCT
ejpam-6556	445	4	la	la	ADJ
ejpam-6556	445	5	)	)	PUNCT
ejpam-6556	446	1	+	+	NUM
ejpam-6556	446	2	λ	λ	X
ejpam-6556	446	3	(	(	PUNCT
ejpam-6556	446	4	la	la	PROPN
ejpam-6556	446	5	+	+	CCONJ
ejpam-6556	446	6	eα(lb	eα(lb	ADJ
ejpam-6556	446	7	−	−	PROPN
ejpam-6556	446	8	la	la	NOUN
ejpam-6556	446	9	)	)	PUNCT
ejpam-6556	446	10	)	)	PUNCT
ejpam-6556	446	11	]	]	PUNCT
ejpam-6556	446	12	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6556	446	13	≤	≤	NUM
ejpam-6556	446	14	|λ′	|λ′	NOUN
ejpam-6556	446	15	(	(	PUNCT
ejpam-6556	446	16	la)|+	la)|+	NOUN
ejpam-6556	446	17	|λ′	|λ′	NOUN
ejpam-6556	446	18	(	(	PUNCT
ejpam-6556	446	19	lb)|	lb)|	PROPN
ejpam-6556	446	20	γ	γ	NOUN
ejpam-6556	446	21	+	+	CCONJ
ejpam-6556	446	22	1	1	NUM
ejpam-6556	446	23	,	,	PUNCT
ejpam-6556	446	24	corollary	corollary	ADJ
ejpam-6556	446	25	1	1	NUM
ejpam-6556	446	26	.	.	PUNCT
ejpam-6556	447	1	in	in	ADP
ejpam-6556	447	2	the	the	DET
ejpam-6556	447	3	above	above	ADJ
ejpam-6556	447	4	theorem	theorem	NOUN
ejpam-6556	447	5	9	9	NUM
ejpam-6556	447	6	,	,	PUNCT
ejpam-6556	447	7	if	if	SCONJ
ejpam-6556	447	8	we	we	PRON
ejpam-6556	447	9	choose	choose	VERB
ejpam-6556	447	10	∆ϱ	∆ϱ	PROPN
ejpam-6556	447	11	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	447	12	−	−	PROPN
ejpam-6556	447	13	la	la	PROPN
ejpam-6556	447	14	)	)	PUNCT
ejpam-6556	447	15	=	=	SYM
ejpam-6556	447	16	lb	lb	DET
ejpam-6556	447	17	−	−	PROPN
ejpam-6556	447	18	la	la	PROPN
ejpam-6556	447	19	,	,	PUNCT
ejpam-6556	447	20	then	then	ADV
ejpam-6556	447	21	we	we	PRON
ejpam-6556	447	22	obtain∣∣∣∣	obtain∣∣∣∣	ADJ
ejpam-6556	447	23	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	447	24	)	)	PUNCT
ejpam-6556	447	25	(	(	PUNCT
ejpam-6556	447	26	lb	lb	DET
ejpam-6556	447	27	−	−	PROPN
ejpam-6556	447	28	la	la	PROPN
ejpam-6556	447	29	)	)	PUNCT
ejpam-6556	447	30	γ+1	γ+1	PROPN
ejpam-6556	447	31	[	[	PUNCT
ejpam-6556	447	32	ab	ab	X
ejpam-6556	447	33	la	la	PROPN
ejpam-6556	447	34	iγ	iγ	PROPN
ejpam-6556	447	35	{	{	PUNCT
ejpam-6556	447	36	λ	λ	X
ejpam-6556	447	37	(	(	PUNCT
ejpam-6556	447	38	lb)}+	lb)}+	ADJ
ejpam-6556	447	39	abiγlb	abiγlb	NOUN
ejpam-6556	447	40	{	{	PUNCT
ejpam-6556	447	41	λ	λ	X
ejpam-6556	447	42	(	(	PUNCT
ejpam-6556	447	43	la	la	NOUN
ejpam-6556	447	44	)	)	PUNCT
ejpam-6556	447	45	}	}	PUNCT
ejpam-6556	447	46	]	]	PUNCT
ejpam-6556	447	47	−	−	PROPN
ejpam-6556	447	48	(	(	PUNCT
ejpam-6556	447	49	(	(	PUNCT
ejpam-6556	447	50	lb	lb	X
ejpam-6556	447	51	−	−	PROPN
ejpam-6556	447	52	la	la	PROPN
ejpam-6556	447	53	)	)	PUNCT
ejpam-6556	447	54	γ	γ	PROPN
ejpam-6556	447	55	+	+	X
ejpam-6556	447	56	(	(	PUNCT
ejpam-6556	447	57	1−	1−	NUM
ejpam-6556	447	58	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	447	59	)	)	PUNCT
ejpam-6556	447	60	(	(	PUNCT
ejpam-6556	447	61	lb	lb	X
ejpam-6556	447	62	−	−	PROPN
ejpam-6556	447	63	la	la	PROPN
ejpam-6556	447	64	)	)	PUNCT
ejpam-6556	447	65	γ+1	γ+1	NUM
ejpam-6556	447	66	)	)	PUNCT
ejpam-6556	448	1	[	[	X
ejpam-6556	448	2	λ	λ	X
ejpam-6556	448	3	(	(	PUNCT
ejpam-6556	448	4	la	la	ADJ
ejpam-6556	448	5	)	)	PUNCT
ejpam-6556	449	1	+	+	NUM
ejpam-6556	449	2	λ	λ	X
ejpam-6556	449	3	(	(	PUNCT
ejpam-6556	449	4	lb	lb	NOUN
ejpam-6556	449	5	)	)	PUNCT
ejpam-6556	449	6	]	]	PUNCT
ejpam-6556	449	7	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6556	449	8	≤	≤	NUM
ejpam-6556	449	9	|λ′	|λ′	NOUN
ejpam-6556	449	10	(	(	PUNCT
ejpam-6556	449	11	la)|+	la)|+	NOUN
ejpam-6556	449	12	|λ′	|λ′	NOUN
ejpam-6556	449	13	(	(	PUNCT
ejpam-6556	449	14	lb)|	lb)|	PROPN
ejpam-6556	449	15	γ	γ	NOUN
ejpam-6556	449	16	+	+	NOUN
ejpam-6556	449	17	1	1	NUM
ejpam-6556	449	18	.	.	PUNCT
ejpam-6556	449	19	theorem	theorem	NOUN
ejpam-6556	449	20	10	10	NUM
ejpam-6556	449	21	.	.	PUNCT
ejpam-6556	450	1	let	let	VERB
ejpam-6556	450	2	i	i	PRON
ejpam-6556	450	3	⊆	⊆	NUM
ejpam-6556	450	4	r	r	NOUN
ejpam-6556	450	5	be	be	VERB
ejpam-6556	450	6	an	an	DET
ejpam-6556	450	7	open	open	ADJ
ejpam-6556	450	8	and	and	CCONJ
ejpam-6556	450	9	non	non	ADJ
ejpam-6556	450	10	-	-	ADJ
ejpam-6556	450	11	empty	empty	ADJ
ejpam-6556	450	12	covex	covex	NOUN
ejpam-6556	450	13	set	set	NOUN
ejpam-6556	450	14	and	and	CCONJ
ejpam-6556	450	15	la	la	NOUN
ejpam-6556	450	16	,	,	PUNCT
ejpam-6556	450	17	lb	lb	PRON
ejpam-6556	450	18	∈	∈	NOUN
ejpam-6556	450	19	i	i	X
ejpam-6556	450	20	with	with	ADP
ejpam-6556	450	21	la	la	X
ejpam-6556	450	22	<	<	AUX
ejpam-6556	450	23	la	la	PROPN
ejpam-6556	450	24	+	+	PROPN
ejpam-6556	450	25	∆ϱ	∆ϱ	PROPN
ejpam-6556	450	26	ϵ,σ(lb	ϵ,σ(lb	NUM
ejpam-6556	450	27	−mla	−mla	NOUN
ejpam-6556	450	28	)	)	PUNCT
ejpam-6556	450	29	.	.	PUNCT
ejpam-6556	451	1	suppose	suppose	VERB
ejpam-6556	451	2	that	that	SCONJ
ejpam-6556	451	3	λ	λ	X
ejpam-6556	451	4	:	:	PUNCT
ejpam-6556	451	5	i	i	PRON
ejpam-6556	451	6	→	→	PUNCT
ejpam-6556	451	7	r	r	NOUN
ejpam-6556	451	8	is	be	AUX
ejpam-6556	451	9	a	a	DET
ejpam-6556	451	10	differentiable	differentiable	ADJ
ejpam-6556	451	11	function	function	NOUN
ejpam-6556	451	12	and	and	CCONJ
ejpam-6556	451	13	λ′	λ′	X
ejpam-6556	451	14	∈	∈	PROPN
ejpam-6556	451	15	l	l	NOUN
ejpam-6556	451	16	[	[	PUNCT
ejpam-6556	451	17	la	la	X
ejpam-6556	451	18	,	,	PUNCT
ejpam-6556	451	19	la	la	PROPN
ejpam-6556	451	20	+	+	PROPN
ejpam-6556	451	21	∆ϱ	∆ϱ	PROPN
ejpam-6556	451	22	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	451	23	−	−	PROPN
ejpam-6556	451	24	la	la	PROPN
ejpam-6556	451	25	)	)	PUNCT
ejpam-6556	451	26	]	]	PUNCT
ejpam-6556	451	27	.	.	PUNCT
ejpam-6556	452	1	if	if	SCONJ
ejpam-6556	452	2	|λ′|q	|λ′|q	NUM
ejpam-6556	452	3	is	be	AUX
ejpam-6556	452	4	a	a	DET
ejpam-6556	452	5	gcf	gcf	PROPN
ejpam-6556	452	6	,	,	PUNCT
ejpam-6556	452	7	then	then	ADV
ejpam-6556	452	8	we	we	PRON
ejpam-6556	452	9	have	have	VERB
ejpam-6556	452	10	the	the	DET
ejpam-6556	452	11	following	follow	VERB
ejpam-6556	452	12	inequality	inequality	NOUN
ejpam-6556	452	13	for	for	ADP
ejpam-6556	452	14	abfio∣∣∣∣∣	abfio∣∣∣∣∣	PROPN
ejpam-6556	452	15	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	452	16	)	)	PUNCT
ejpam-6556	453	1	[	[	X
ejpam-6556	453	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	453	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	453	4	−	−	PROPN
ejpam-6556	453	5	la	la	PROPN
ejpam-6556	453	6	)	)	PUNCT
ejpam-6556	453	7	]	]	PUNCT
ejpam-6556	454	1	γ+1	γ+1	PROPN
ejpam-6556	454	2	[	[	PUNCT
ejpam-6556	454	3	ab	ab	X
ejpam-6556	454	4	la	la	PROPN
ejpam-6556	454	5	iγ	iγ	PROPN
ejpam-6556	454	6	{	{	PUNCT
ejpam-6556	454	7	λ	λ	X
ejpam-6556	454	8	(	(	PUNCT
ejpam-6556	454	9	la	la	PROPN
ejpam-6556	454	10	+	+	PROPN
ejpam-6556	454	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	454	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	454	13	−	−	PROPN
ejpam-6556	454	14	la	la	PROPN
ejpam-6556	454	15	)	)	PUNCT
ejpam-6556	454	16	)	)	PUNCT
ejpam-6556	454	17	}	}	PUNCT
ejpam-6556	454	18	+	+	NUM
ejpam-6556	454	19	abiγ	abiγ	NOUN
ejpam-6556	454	20	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	454	21	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	454	22	)	)	PUNCT
ejpam-6556	454	23	{	{	PUNCT
ejpam-6556	454	24	λ	λ	X
ejpam-6556	454	25	(	(	PUNCT
ejpam-6556	454	26	mla	mla	PROPN
ejpam-6556	454	27	)	)	PUNCT
ejpam-6556	454	28	}	}	PUNCT
ejpam-6556	454	29	]	]	PUNCT
ejpam-6556	454	30	−	−	PROPN
ejpam-6556	454	31	(	(	PUNCT
ejpam-6556	454	32	[	[	X
ejpam-6556	454	33	∆ϱ	∆ϱ	PROPN
ejpam-6556	454	34	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	454	35	−	−	PROPN
ejpam-6556	454	36	la	la	PROPN
ejpam-6556	454	37	)	)	PUNCT
ejpam-6556	454	38	]	]	PUNCT
ejpam-6556	455	1	γ	γ	X
ejpam-6556	455	2	+	+	X
ejpam-6556	455	3	(	(	PUNCT
ejpam-6556	455	4	1−	1−	NUM
ejpam-6556	455	5	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	455	6	)	)	PUNCT
ejpam-6556	456	1	[	[	X
ejpam-6556	456	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	456	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	456	4	−	−	PROPN
ejpam-6556	456	5	la	la	PROPN
ejpam-6556	456	6	)	)	PUNCT
ejpam-6556	456	7	]	]	PUNCT
ejpam-6556	457	1	γ+1	γ+1	X
ejpam-6556	457	2	)	)	PUNCT
ejpam-6556	457	3	[	[	PUNCT
ejpam-6556	457	4	λ	λ	X
ejpam-6556	457	5	(	(	PUNCT
ejpam-6556	457	6	la	la	ADJ
ejpam-6556	457	7	)	)	PUNCT
ejpam-6556	458	1	+	+	NUM
ejpam-6556	458	2	λ	λ	X
ejpam-6556	458	3	(	(	PUNCT
ejpam-6556	458	4	la	la	PROPN
ejpam-6556	458	5	+	+	PROPN
ejpam-6556	458	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	458	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	458	8	−	−	PROPN
ejpam-6556	458	9	la	la	PROPN
ejpam-6556	458	10	)	)	PUNCT
ejpam-6556	458	11	)	)	PUNCT
ejpam-6556	459	1	]	]	PUNCT
ejpam-6556	459	2	∣∣∣∣∣	∣∣∣∣∣	SYM
ejpam-6556	459	3	≤	≤	ADV
ejpam-6556	459	4	2	2	NUM
ejpam-6556	459	5	(	(	PUNCT
ejpam-6556	459	6	1	1	NUM
ejpam-6556	459	7	γp+	γp+	ADJ
ejpam-6556	459	8	1	1	NUM
ejpam-6556	459	9	)	)	PUNCT
ejpam-6556	459	10	1	1	NUM
ejpam-6556	459	11	p	p	NOUN
ejpam-6556	459	12	(	(	PUNCT
ejpam-6556	459	13	|λ′	|λ′	PROPN
ejpam-6556	459	14	(	(	PUNCT
ejpam-6556	459	15	la)|q	la)|q	VERB
ejpam-6556	459	16	+	+	CCONJ
ejpam-6556	459	17	|λ′	|λ′	VERB
ejpam-6556	459	18	(	(	PUNCT
ejpam-6556	459	19	lb)|q	lb)|q	PROPN
ejpam-6556	459	20	2	2	NUM
ejpam-6556	459	21	)	)	PUNCT
ejpam-6556	459	22	1	1	NUM
ejpam-6556	459	23	q	q	NOUN
ejpam-6556	459	24	,	,	PUNCT
ejpam-6556	459	25	where	where	SCONJ
ejpam-6556	459	26	p−1	p−1	PROPN
ejpam-6556	459	27	+	+	PROPN
ejpam-6556	459	28	q−1	q−1	PROPN
ejpam-6556	459	29	=	=	PUNCT
ejpam-6556	459	30	1	1	NUM
ejpam-6556	459	31	,	,	PUNCT
ejpam-6556	459	32	q	q	ADJ
ejpam-6556	459	33	>	>	X
ejpam-6556	459	34	1	1	NUM
ejpam-6556	459	35	,	,	PUNCT
ejpam-6556	459	36	γ	γ	X
ejpam-6556	459	37	∈	∈	PROPN
ejpam-6556	459	38	(	(	PUNCT
ejpam-6556	459	39	0	0	NUM
ejpam-6556	459	40	,	,	PUNCT
ejpam-6556	459	41	1	1	NUM
ejpam-6556	459	42	]	]	PUNCT
ejpam-6556	459	43	.	.	PUNCT
ejpam-6556	460	1	proof	proof	NOUN
ejpam-6556	460	2	.	.	PUNCT
ejpam-6556	461	1	by	by	ADP
ejpam-6556	461	2	using	use	VERB
ejpam-6556	461	3	lemma	lemma	PROPN
ejpam-6556	461	4	1	1	NUM
ejpam-6556	461	5	,	,	PUNCT
ejpam-6556	461	6	we	we	PRON
ejpam-6556	461	7	get∣∣∣∣∣	get∣∣∣∣∣	VERB
ejpam-6556	461	8	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	461	9	)	)	PUNCT
ejpam-6556	462	1	[	[	X
ejpam-6556	462	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	462	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	462	4	−	−	PROPN
ejpam-6556	462	5	la	la	PROPN
ejpam-6556	462	6	)	)	PUNCT
ejpam-6556	462	7	]	]	PUNCT
ejpam-6556	463	1	γ+1	γ+1	PROPN
ejpam-6556	463	2	[	[	PUNCT
ejpam-6556	463	3	ab	ab	X
ejpam-6556	463	4	la	la	PROPN
ejpam-6556	463	5	iγ	iγ	PROPN
ejpam-6556	463	6	{	{	PUNCT
ejpam-6556	463	7	λ	λ	X
ejpam-6556	463	8	(	(	PUNCT
ejpam-6556	463	9	la	la	PROPN
ejpam-6556	463	10	+	+	PROPN
ejpam-6556	463	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	463	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	463	13	−	−	PROPN
ejpam-6556	463	14	la	la	PROPN
ejpam-6556	463	15	)	)	PUNCT
ejpam-6556	463	16	)	)	PUNCT
ejpam-6556	463	17	}	}	PUNCT
ejpam-6556	464	1	+	+	NUM
ejpam-6556	464	2	abiγ	abiγ	NOUN
ejpam-6556	464	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	464	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	464	5	)	)	PUNCT
ejpam-6556	464	6	{	{	PUNCT
ejpam-6556	464	7	λ	λ	X
ejpam-6556	464	8	(	(	PUNCT
ejpam-6556	464	9	la	la	NOUN
ejpam-6556	464	10	)	)	PUNCT
ejpam-6556	464	11	}	}	PUNCT
ejpam-6556	464	12	]	]	PUNCT
ejpam-6556	464	13	−	−	PROPN
ejpam-6556	465	1	(	(	PUNCT
ejpam-6556	465	2	[	[	X
ejpam-6556	465	3	∆ϱ	∆ϱ	PROPN
ejpam-6556	465	4	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	465	5	−	−	PROPN
ejpam-6556	465	6	la	la	PROPN
ejpam-6556	465	7	)	)	PUNCT
ejpam-6556	465	8	]	]	PUNCT
ejpam-6556	466	1	γ	γ	X
ejpam-6556	466	2	+	+	X
ejpam-6556	466	3	(	(	PUNCT
ejpam-6556	466	4	1−	1−	NUM
ejpam-6556	466	5	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	466	6	)	)	PUNCT
ejpam-6556	467	1	[	[	X
ejpam-6556	467	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	467	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	467	4	−	−	PROPN
ejpam-6556	467	5	la	la	PROPN
ejpam-6556	467	6	)	)	PUNCT
ejpam-6556	467	7	]	]	PUNCT
ejpam-6556	468	1	γ+1	γ+1	X
ejpam-6556	468	2	)	)	PUNCT
ejpam-6556	468	3	[	[	PUNCT
ejpam-6556	468	4	λ	λ	X
ejpam-6556	468	5	(	(	PUNCT
ejpam-6556	468	6	la	la	ADJ
ejpam-6556	468	7	)	)	PUNCT
ejpam-6556	469	1	+	+	NUM
ejpam-6556	469	2	λ	λ	X
ejpam-6556	469	3	(	(	PUNCT
ejpam-6556	469	4	la	la	PROPN
ejpam-6556	469	5	+	+	PROPN
ejpam-6556	469	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	469	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	469	8	−	−	PROPN
ejpam-6556	469	9	la	la	PROPN
ejpam-6556	469	10	)	)	PUNCT
ejpam-6556	469	11	)	)	PUNCT
ejpam-6556	470	1	]	]	PUNCT
ejpam-6556	470	2	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-6556	470	3	≤	≤	NUM
ejpam-6556	470	4	∫	∫	PROPN
ejpam-6556	470	5	1	1	NUM
ejpam-6556	470	6	0	0	NUM
ejpam-6556	470	7	(	(	PUNCT
ejpam-6556	470	8	1−	1−	NUM
ejpam-6556	470	9	x)γ	x)γ	PUNCT
ejpam-6556	470	10	∣∣λ′	∣∣λ′	NOUN
ejpam-6556	470	11	(	(	PUNCT
ejpam-6556	470	12	la	la	X
ejpam-6556	470	13	+	+	X
ejpam-6556	470	14	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	470	15	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	470	16	−	−	PROPN
ejpam-6556	470	17	la	la	PROPN
ejpam-6556	470	18	)	)	PUNCT
ejpam-6556	470	19	)	)	PUNCT
ejpam-6556	471	1	∣∣	∣∣	X
ejpam-6556	471	2	dx+	dx+	ADV
ejpam-6556	471	3	∫	∫	PROPN
ejpam-6556	471	4	1	1	NUM
ejpam-6556	471	5	0	0	NUM
ejpam-6556	471	6	xγ	xγ	AUX
ejpam-6556	471	7	∣∣λ′	∣∣λ′	PROPN
ejpam-6556	471	8	(	(	PUNCT
ejpam-6556	471	9	la	la	X
ejpam-6556	471	10	+	+	NUM
ejpam-6556	471	11	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	471	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	471	13	−	−	PROPN
ejpam-6556	471	14	la	la	PROPN
ejpam-6556	471	15	)	)	PUNCT
ejpam-6556	471	16	)	)	PUNCT
ejpam-6556	472	1	∣∣	∣∣	PROPN
ejpam-6556	473	1	dx	dx	PROPN
ejpam-6556	473	2	.	.	PUNCT
ejpam-6556	473	3	m.	m.	PROPN
ejpam-6556	473	4	tariq	tariq	PROPN
ejpam-6556	473	5	et	et	PROPN
ejpam-6556	473	6	al	al	PROPN
ejpam-6556	473	7	.	.	PUNCT
ejpam-6556	473	8	/	/	SYM
ejpam-6556	473	9	eur	eur	PROPN
ejpam-6556	473	10	.	.	PUNCT
ejpam-6556	474	1	j.	j.	PROPN
ejpam-6556	474	2	pure	pure	PROPN
ejpam-6556	474	3	appl	appl	PROPN
ejpam-6556	474	4	.	.	PROPN
ejpam-6556	474	5	math	math	PROPN
ejpam-6556	474	6	,	,	PUNCT
ejpam-6556	474	7	18	18	NUM
ejpam-6556	474	8	(	(	PUNCT
ejpam-6556	474	9	3	3	NUM
ejpam-6556	474	10	)	)	PUNCT
ejpam-6556	474	11	(	(	PUNCT
ejpam-6556	474	12	2025	2025	NUM
ejpam-6556	474	13	)	)	PUNCT
ejpam-6556	474	14	,	,	PUNCT
ejpam-6556	474	15	6556	6556	NUM
ejpam-6556	474	16	16	16	NUM
ejpam-6556	474	17	of	of	ADP
ejpam-6556	474	18	28	28	NUM
ejpam-6556	474	19	by	by	ADP
ejpam-6556	474	20	applying	apply	VERB
ejpam-6556	474	21	hölder	hölder	NOUN
ejpam-6556	474	22	inequality	inequality	NOUN
ejpam-6556	474	23	,	,	PUNCT
ejpam-6556	474	24	we	we	PRON
ejpam-6556	474	25	get∣∣∣∣∣	get∣∣∣∣∣	VERB
ejpam-6556	474	26	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	474	27	)	)	PUNCT
ejpam-6556	475	1	[	[	X
ejpam-6556	475	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	475	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	475	4	−	−	PROPN
ejpam-6556	475	5	la	la	PROPN
ejpam-6556	475	6	)	)	PUNCT
ejpam-6556	475	7	]	]	PUNCT
ejpam-6556	476	1	γ+1	γ+1	PROPN
ejpam-6556	476	2	[	[	PUNCT
ejpam-6556	476	3	ab	ab	X
ejpam-6556	476	4	la	la	PROPN
ejpam-6556	476	5	iγ	iγ	PROPN
ejpam-6556	476	6	{	{	PUNCT
ejpam-6556	476	7	λ	λ	X
ejpam-6556	476	8	(	(	PUNCT
ejpam-6556	476	9	la	la	PROPN
ejpam-6556	476	10	+	+	PROPN
ejpam-6556	476	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	476	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	476	13	−	−	PROPN
ejpam-6556	476	14	la	la	PROPN
ejpam-6556	476	15	)	)	PUNCT
ejpam-6556	476	16	)	)	PUNCT
ejpam-6556	476	17	}	}	PUNCT
ejpam-6556	477	1	+	+	NUM
ejpam-6556	477	2	abiγ	abiγ	NOUN
ejpam-6556	477	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	477	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	477	5	)	)	PUNCT
ejpam-6556	477	6	{	{	PUNCT
ejpam-6556	477	7	λ	λ	X
ejpam-6556	477	8	(	(	PUNCT
ejpam-6556	477	9	la	la	NOUN
ejpam-6556	477	10	)	)	PUNCT
ejpam-6556	477	11	}	}	PUNCT
ejpam-6556	477	12	]	]	PUNCT
ejpam-6556	477	13	−	−	PROPN
ejpam-6556	478	1	(	(	PUNCT
ejpam-6556	478	2	[	[	X
ejpam-6556	478	3	∆ϱ	∆ϱ	PROPN
ejpam-6556	478	4	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	478	5	−	−	PROPN
ejpam-6556	478	6	la	la	PROPN
ejpam-6556	478	7	)	)	PUNCT
ejpam-6556	478	8	]	]	PUNCT
ejpam-6556	479	1	γ	γ	X
ejpam-6556	479	2	+	+	X
ejpam-6556	479	3	(	(	PUNCT
ejpam-6556	479	4	1−	1−	NUM
ejpam-6556	479	5	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	479	6	)	)	PUNCT
ejpam-6556	480	1	[	[	X
ejpam-6556	480	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	480	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	480	4	−	−	PROPN
ejpam-6556	480	5	la	la	PROPN
ejpam-6556	480	6	)	)	PUNCT
ejpam-6556	480	7	]	]	PUNCT
ejpam-6556	481	1	γ+1	γ+1	X
ejpam-6556	481	2	)	)	PUNCT
ejpam-6556	481	3	[	[	PUNCT
ejpam-6556	481	4	λ	λ	X
ejpam-6556	481	5	(	(	PUNCT
ejpam-6556	481	6	la	la	ADJ
ejpam-6556	481	7	)	)	PUNCT
ejpam-6556	482	1	+	+	NUM
ejpam-6556	482	2	λ	λ	X
ejpam-6556	482	3	(	(	PUNCT
ejpam-6556	482	4	la	la	PROPN
ejpam-6556	482	5	+	+	PROPN
ejpam-6556	482	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	482	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	482	8	−	−	PROPN
ejpam-6556	482	9	la	la	PROPN
ejpam-6556	482	10	)	)	PUNCT
ejpam-6556	482	11	)	)	PUNCT
ejpam-6556	483	1	]	]	PUNCT
ejpam-6556	483	2	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-6556	483	3	≤	≤	NUM
ejpam-6556	483	4	(	(	PUNCT
ejpam-6556	483	5	∫	∫	PROPN
ejpam-6556	483	6	1	1	NUM
ejpam-6556	483	7	0	0	NUM
ejpam-6556	483	8	(	(	PUNCT
ejpam-6556	483	9	1−	1−	NUM
ejpam-6556	483	10	x)γpdx	x)γpdx	NUM
ejpam-6556	483	11	)	)	PUNCT
ejpam-6556	483	12	1	1	NUM
ejpam-6556	483	13	p	p	NOUN
ejpam-6556	483	14	(	(	PUNCT
ejpam-6556	483	15	∫	∫	PROPN
ejpam-6556	483	16	1	1	NUM
ejpam-6556	483	17	0	0	NUM
ejpam-6556	483	18	∣∣λ′	∣∣λ′	NOUN
ejpam-6556	483	19	(	(	PUNCT
ejpam-6556	483	20	la	la	NOUN
ejpam-6556	483	21	+	+	X
ejpam-6556	483	22	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	483	23	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	483	24	−	−	PROPN
ejpam-6556	483	25	la	la	PROPN
ejpam-6556	483	26	)	)	PUNCT
ejpam-6556	483	27	)	)	PUNCT
ejpam-6556	483	28	∣∣q	∣∣q	NUM
ejpam-6556	483	29	dx	dx	PROPN
ejpam-6556	483	30	)	)	PUNCT
ejpam-6556	483	31	1	1	NUM
ejpam-6556	483	32	q	q	NOUN
ejpam-6556	484	1	+	+	CCONJ
ejpam-6556	484	2	(	(	PUNCT
ejpam-6556	484	3	∫	∫	PROPN
ejpam-6556	484	4	1	1	NUM
ejpam-6556	484	5	0	0	NUM
ejpam-6556	484	6	xγpdx	xγpdx	PROPN
ejpam-6556	484	7	)	)	PUNCT
ejpam-6556	484	8	1	1	NUM
ejpam-6556	484	9	p	p	NOUN
ejpam-6556	484	10	(	(	PUNCT
ejpam-6556	484	11	∫	∫	PROPN
ejpam-6556	484	12	1	1	NUM
ejpam-6556	484	13	0	0	NUM
ejpam-6556	484	14	∣∣λ′	∣∣λ′	NOUN
ejpam-6556	484	15	(	(	PUNCT
ejpam-6556	484	16	la	la	NOUN
ejpam-6556	484	17	+	+	X
ejpam-6556	484	18	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	484	19	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	484	20	−	−	PROPN
ejpam-6556	484	21	la	la	PROPN
ejpam-6556	484	22	)	)	PUNCT
ejpam-6556	484	23	)	)	PUNCT
ejpam-6556	484	24	∣∣q	∣∣q	NUM
ejpam-6556	484	25	dx	dx	PROPN
ejpam-6556	484	26	)	)	PUNCT
ejpam-6556	484	27	1	1	NUM
ejpam-6556	484	28	q	q	NOUN
ejpam-6556	484	29	.	.	PUNCT
ejpam-6556	485	1	by	by	ADP
ejpam-6556	485	2	using	use	VERB
ejpam-6556	485	3	gmcf	gmcf	NOUN
ejpam-6556	485	4	of	of	ADP
ejpam-6556	485	5	|λ′|q	|λ′|q	PROPN
ejpam-6556	485	6	,	,	PUNCT
ejpam-6556	485	7	we	we	PRON
ejpam-6556	485	8	obtain∣∣∣∣	obtain∣∣∣∣	ADJ
ejpam-6556	485	9	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	485	10	)	)	PUNCT
ejpam-6556	486	1	[	[	X
ejpam-6556	486	2	ω	ω	X
ejpam-6556	486	3	(	(	PUNCT
ejpam-6556	486	4	lb	lb	NOUN
ejpam-6556	486	5	,	,	PUNCT
ejpam-6556	486	6	la	la	NOUN
ejpam-6556	486	7	)	)	PUNCT
ejpam-6556	486	8	]	]	PUNCT
ejpam-6556	487	1	γ+1	γ+1	PROPN
ejpam-6556	487	2	[	[	PUNCT
ejpam-6556	487	3	ab	ab	X
ejpam-6556	487	4	la	la	PROPN
ejpam-6556	487	5	iγ	iγ	PROPN
ejpam-6556	487	6	{	{	PUNCT
ejpam-6556	487	7	λ	λ	X
ejpam-6556	487	8	(	(	PUNCT
ejpam-6556	487	9	la	la	PROPN
ejpam-6556	487	10	+	+	PROPN
ejpam-6556	487	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	487	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	487	13	−	−	PROPN
ejpam-6556	487	14	la	la	PROPN
ejpam-6556	487	15	)	)	PUNCT
ejpam-6556	487	16	)	)	PUNCT
ejpam-6556	487	17	}	}	PUNCT
ejpam-6556	488	1	+	+	NUM
ejpam-6556	488	2	abiγ	abiγ	NOUN
ejpam-6556	488	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	488	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	488	5	)	)	PUNCT
ejpam-6556	488	6	{	{	PUNCT
ejpam-6556	488	7	λ	λ	X
ejpam-6556	488	8	(	(	PUNCT
ejpam-6556	488	9	la	la	NOUN
ejpam-6556	488	10	)	)	PUNCT
ejpam-6556	488	11	}	}	PUNCT
ejpam-6556	488	12	]	]	PUNCT
ejpam-6556	488	13	−	−	PROPN
ejpam-6556	489	1	(	(	PUNCT
ejpam-6556	489	2	[	[	X
ejpam-6556	489	3	∆ϱ	∆ϱ	PROPN
ejpam-6556	489	4	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	489	5	−	−	PROPN
ejpam-6556	489	6	la	la	PROPN
ejpam-6556	489	7	)	)	PUNCT
ejpam-6556	489	8	]	]	PUNCT
ejpam-6556	490	1	γ	γ	X
ejpam-6556	490	2	+	+	X
ejpam-6556	490	3	(	(	PUNCT
ejpam-6556	490	4	1−	1−	NUM
ejpam-6556	490	5	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	490	6	)	)	PUNCT
ejpam-6556	491	1	[	[	X
ejpam-6556	491	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	491	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	491	4	−	−	PROPN
ejpam-6556	491	5	la	la	PROPN
ejpam-6556	491	6	)	)	PUNCT
ejpam-6556	491	7	]	]	PUNCT
ejpam-6556	492	1	γ+1	γ+1	X
ejpam-6556	492	2	)	)	PUNCT
ejpam-6556	492	3	[	[	PUNCT
ejpam-6556	492	4	λ	λ	X
ejpam-6556	492	5	(	(	PUNCT
ejpam-6556	492	6	la	la	ADJ
ejpam-6556	492	7	)	)	PUNCT
ejpam-6556	493	1	+	+	NUM
ejpam-6556	493	2	λ	λ	X
ejpam-6556	493	3	(	(	PUNCT
ejpam-6556	493	4	la	la	PROPN
ejpam-6556	493	5	+	+	PROPN
ejpam-6556	493	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	493	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	493	8	−	−	PROPN
ejpam-6556	493	9	la	la	PROPN
ejpam-6556	493	10	)	)	PUNCT
ejpam-6556	493	11	)	)	PUNCT
ejpam-6556	494	1	]	]	PUNCT
ejpam-6556	494	2	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-6556	494	3	≤	≤	NUM
ejpam-6556	494	4	(	(	PUNCT
ejpam-6556	494	5	∫	∫	PROPN
ejpam-6556	494	6	1	1	NUM
ejpam-6556	494	7	0	0	NUM
ejpam-6556	494	8	(	(	PUNCT
ejpam-6556	494	9	1−	1−	NUM
ejpam-6556	494	10	x)γpdx	x)γpdx	NUM
ejpam-6556	494	11	)	)	PUNCT
ejpam-6556	494	12	1	1	NUM
ejpam-6556	494	13	p	p	NOUN
ejpam-6556	494	14	(	(	PUNCT
ejpam-6556	494	15	∫	∫	PROPN
ejpam-6556	494	16	1	1	NUM
ejpam-6556	494	17	0	0	NUM
ejpam-6556	494	18	[	[	PUNCT
ejpam-6556	494	19	(	(	PUNCT
ejpam-6556	494	20	1−	1−	NUM
ejpam-6556	494	21	x	x	NOUN
ejpam-6556	494	22	)	)	PUNCT
ejpam-6556	494	23	∣∣λ′	∣∣λ′	NOUN
ejpam-6556	494	24	(	(	PUNCT
ejpam-6556	494	25	la	la	ADJ
ejpam-6556	494	26	)	)	PUNCT
ejpam-6556	494	27	∣∣q	∣∣q	PROPN
ejpam-6556	494	28	+	+	CCONJ
ejpam-6556	494	29	x	x	SYM
ejpam-6556	494	30	∣∣λ′	∣∣λ′	NOUN
ejpam-6556	494	31	(	(	PUNCT
ejpam-6556	494	32	lb	lb	X
ejpam-6556	494	33	)	)	PUNCT
ejpam-6556	494	34	∣∣q	∣∣q	NUM
ejpam-6556	494	35	]	]	PUNCT
ejpam-6556	494	36	dx	dx	PROPN
ejpam-6556	494	37	)	)	PUNCT
ejpam-6556	494	38	1	1	NUM
ejpam-6556	494	39	q	q	NOUN
ejpam-6556	494	40	+	+	CCONJ
ejpam-6556	494	41	(	(	PUNCT
ejpam-6556	494	42	∫	∫	PROPN
ejpam-6556	494	43	1	1	NUM
ejpam-6556	494	44	0	0	NUM
ejpam-6556	494	45	xγpdx	xγpdx	PROPN
ejpam-6556	494	46	)	)	PUNCT
ejpam-6556	495	1	1	1	NUM
ejpam-6556	495	2	p	p	NOUN
ejpam-6556	495	3	(	(	PUNCT
ejpam-6556	495	4	∫	∫	PROPN
ejpam-6556	495	5	1	1	NUM
ejpam-6556	495	6	0	0	NUM
ejpam-6556	495	7	[	[	PUNCT
ejpam-6556	495	8	(	(	PUNCT
ejpam-6556	495	9	1−	1−	NUM
ejpam-6556	495	10	x	x	NOUN
ejpam-6556	495	11	)	)	PUNCT
ejpam-6556	495	12	∣∣λ′	∣∣λ′	NOUN
ejpam-6556	495	13	(	(	PUNCT
ejpam-6556	495	14	la	la	ADJ
ejpam-6556	495	15	)	)	PUNCT
ejpam-6556	495	16	∣∣q	∣∣q	PROPN
ejpam-6556	496	1	+	+	CCONJ
ejpam-6556	496	2	x	x	SYM
ejpam-6556	496	3	∣∣λ′	∣∣λ′	NOUN
ejpam-6556	496	4	(	(	PUNCT
ejpam-6556	496	5	lb	lb	X
ejpam-6556	496	6	)	)	PUNCT
ejpam-6556	496	7	∣∣q	∣∣q	NUM
ejpam-6556	496	8	]	]	PUNCT
ejpam-6556	496	9	dx	dx	PROPN
ejpam-6556	496	10	)	)	PUNCT
ejpam-6556	496	11	1	1	NUM
ejpam-6556	496	12	q	q	NOUN
ejpam-6556	496	13	.	.	PUNCT
ejpam-6556	497	1	by	by	ADP
ejpam-6556	497	2	calculating	calculate	VERB
ejpam-6556	497	3	the	the	DET
ejpam-6556	497	4	integrals	integral	NOUN
ejpam-6556	497	5	in	in	ADP
ejpam-6556	497	6	the	the	DET
ejpam-6556	497	7	above	above	ADJ
ejpam-6556	497	8	inequality	inequality	NOUN
ejpam-6556	497	9	,	,	PUNCT
ejpam-6556	497	10	we	we	PRON
ejpam-6556	497	11	get	get	VERB
ejpam-6556	497	12	the	the	DET
ejpam-6556	497	13	desired	desire	VERB
ejpam-6556	497	14	result	result	NOUN
ejpam-6556	497	15	.	.	PUNCT
ejpam-6556	498	1	remark	remark	VERB
ejpam-6556	498	2	6	6	NUM
ejpam-6556	498	3	.	.	PUNCT
ejpam-6556	499	1	considering	consider	VERB
ejpam-6556	499	2	theorem	theorem	NOUN
ejpam-6556	499	3	10	10	NUM
ejpam-6556	499	4	,	,	PUNCT
ejpam-6556	499	5	we	we	PRON
ejpam-6556	499	6	establish	establish	VERB
ejpam-6556	499	7	the	the	DET
ejpam-6556	499	8	following	follow	VERB
ejpam-6556	499	9	new	new	ADJ
ejpam-6556	499	10	mathematical	mathematical	ADJ
ejpam-6556	499	11	approach	approach	NOUN
ejpam-6556	499	12	of	of	ADP
ejpam-6556	499	13	hermite	hermite	PROPN
ejpam-6556	499	14	-	-	PUNCT
ejpam-6556	499	15	hadamard	hadamard	ADJ
ejpam-6556	499	16	inequality	inequality	NOUN
ejpam-6556	499	17	pertaining	pertain	VERB
ejpam-6556	499	18	to	to	ADP
ejpam-6556	499	19	the	the	DET
ejpam-6556	499	20	classical	classical	ADJ
ejpam-6556	499	21	mittag	mittag	ADJ
ejpam-6556	499	22	-	-	PUNCT
ejpam-6556	499	23	leffler	leffler	NOUN
ejpam-6556	499	24	function	function	NOUN
ejpam-6556	499	25	via	via	ADP
ejpam-6556	499	26	abfio	abfio	PROPN
ejpam-6556	499	27	if	if	SCONJ
ejpam-6556	499	28	we	we	PRON
ejpam-6556	499	29	pick	pick	VERB
ejpam-6556	499	30	ϱ	ϱ	ADP
ejpam-6556	499	31	=	=	SYM
ejpam-6556	499	32	(	(	PUNCT
ejpam-6556	499	33	1	1	NUM
ejpam-6556	499	34	,	,	PUNCT
ejpam-6556	499	35	1	1	NUM
ejpam-6556	499	36	,	,	PUNCT
ejpam-6556	499	37	...	...	PUNCT
ejpam-6556	499	38	)	)	PUNCT
ejpam-6556	499	39	with	with	ADP
ejpam-6556	499	40	ϵ	ϵ	PROPN
ejpam-6556	499	41	=	=	SYM
ejpam-6556	499	42	α	α	PROPN
ejpam-6556	499	43	and	and	CCONJ
ejpam-6556	499	44	σ	σ	NUM
ejpam-6556	499	45	=	=	PROPN
ejpam-6556	499	46	1:∣∣∣∣	1:∣∣∣∣	NUM
ejpam-6556	499	47	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	499	48	)	)	PUNCT
ejpam-6556	500	1	[	[	X
ejpam-6556	500	2	eα(lb	eα(lb	X
ejpam-6556	500	3	−	−	X
ejpam-6556	500	4	la	la	NOUN
ejpam-6556	500	5	)	)	PUNCT
ejpam-6556	500	6	]	]	PUNCT
ejpam-6556	501	1	γ+1	γ+1	PROPN
ejpam-6556	501	2	[	[	PUNCT
ejpam-6556	501	3	ab	ab	X
ejpam-6556	501	4	la	la	PROPN
ejpam-6556	501	5	iγ	iγ	PROPN
ejpam-6556	501	6	{	{	PUNCT
ejpam-6556	501	7	λ	λ	X
ejpam-6556	501	8	(	(	PUNCT
ejpam-6556	501	9	la	la	PROPN
ejpam-6556	501	10	+	+	CCONJ
ejpam-6556	501	11	eα(lb	eα(lb	ADJ
ejpam-6556	501	12	−	−	PROPN
ejpam-6556	501	13	la))}+	la))}+	NOUN
ejpam-6556	501	14	abiγla+eα(lb−la	abiγla+eα(lb−la	NOUN
ejpam-6556	501	15	)	)	PUNCT
ejpam-6556	501	16	{	{	PUNCT
ejpam-6556	501	17	λ	λ	X
ejpam-6556	501	18	(	(	PUNCT
ejpam-6556	501	19	la	la	NOUN
ejpam-6556	501	20	)	)	PUNCT
ejpam-6556	501	21	}	}	PUNCT
ejpam-6556	501	22	]	]	PUNCT
ejpam-6556	501	23	−	−	PROPN
ejpam-6556	501	24	(	(	PUNCT
ejpam-6556	501	25	[	[	X
ejpam-6556	501	26	eα(lb	eα(lb	X
ejpam-6556	501	27	−	−	NOUN
ejpam-6556	501	28	la	la	NOUN
ejpam-6556	501	29	)	)	PUNCT
ejpam-6556	501	30	]	]	PUNCT
ejpam-6556	502	1	γ	γ	X
ejpam-6556	502	2	+	+	X
ejpam-6556	502	3	(	(	PUNCT
ejpam-6556	502	4	1−	1−	NUM
ejpam-6556	502	5	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	502	6	)	)	PUNCT
ejpam-6556	503	1	[	[	X
ejpam-6556	503	2	eα(lb	eα(lb	X
ejpam-6556	503	3	−	−	X
ejpam-6556	503	4	la	la	NOUN
ejpam-6556	503	5	)	)	PUNCT
ejpam-6556	503	6	]	]	PUNCT
ejpam-6556	504	1	γ+1	γ+1	X
ejpam-6556	504	2	)	)	PUNCT
ejpam-6556	505	1	[	[	X
ejpam-6556	505	2	λ	λ	X
ejpam-6556	505	3	(	(	PUNCT
ejpam-6556	505	4	la	la	ADJ
ejpam-6556	505	5	)	)	PUNCT
ejpam-6556	506	1	+	+	NUM
ejpam-6556	506	2	λ	λ	X
ejpam-6556	506	3	(	(	PUNCT
ejpam-6556	506	4	la	la	PROPN
ejpam-6556	506	5	+	+	CCONJ
ejpam-6556	506	6	eα(lb	eα(lb	ADJ
ejpam-6556	506	7	−	−	PROPN
ejpam-6556	506	8	la	la	NOUN
ejpam-6556	506	9	)	)	PUNCT
ejpam-6556	506	10	)	)	PUNCT
ejpam-6556	506	11	]	]	PUNCT
ejpam-6556	507	1	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6556	507	2	≤	≤	NUM
ejpam-6556	507	3	2	2	NUM
ejpam-6556	507	4	(	(	PUNCT
ejpam-6556	507	5	1	1	NUM
ejpam-6556	507	6	γp+	γp+	ADJ
ejpam-6556	507	7	1	1	NUM
ejpam-6556	507	8	)	)	PUNCT
ejpam-6556	507	9	1	1	NUM
ejpam-6556	507	10	p	p	NOUN
ejpam-6556	507	11	(	(	PUNCT
ejpam-6556	507	12	|λ′	|λ′	PROPN
ejpam-6556	507	13	(	(	PUNCT
ejpam-6556	507	14	la)|q	la)|q	VERB
ejpam-6556	507	15	+	+	CCONJ
ejpam-6556	507	16	|λ′	|λ′	VERB
ejpam-6556	507	17	(	(	PUNCT
ejpam-6556	507	18	lb)|q	lb)|q	PROPN
ejpam-6556	507	19	2	2	NUM
ejpam-6556	507	20	)	)	PUNCT
ejpam-6556	507	21	1	1	NUM
ejpam-6556	507	22	q	q	NOUN
ejpam-6556	507	23	.	.	PUNCT
ejpam-6556	508	1	corollary	corollary	ADJ
ejpam-6556	508	2	2	2	NUM
ejpam-6556	508	3	.	.	PUNCT
ejpam-6556	509	1	in	in	ADP
ejpam-6556	509	2	the	the	DET
ejpam-6556	509	3	above	above	ADJ
ejpam-6556	509	4	theorem	theorem	NOUN
ejpam-6556	509	5	,	,	PUNCT
ejpam-6556	509	6	if	if	SCONJ
ejpam-6556	509	7	we	we	PRON
ejpam-6556	509	8	choose	choose	VERB
ejpam-6556	509	9	∆ϱ	∆ϱ	PROPN
ejpam-6556	509	10	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	509	11	−	−	PROPN
ejpam-6556	509	12	la	la	PROPN
ejpam-6556	509	13	)	)	PUNCT
ejpam-6556	509	14	=	=	SYM
ejpam-6556	509	15	lb	lb	DET
ejpam-6556	509	16	−	−	PROPN
ejpam-6556	509	17	la	la	PROPN
ejpam-6556	509	18	,	,	PUNCT
ejpam-6556	509	19	then	then	ADV
ejpam-6556	509	20	we	we	PRON
ejpam-6556	509	21	obtain∣∣∣∣	obtain∣∣∣∣	ADJ
ejpam-6556	509	22	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	509	23	)	)	PUNCT
ejpam-6556	509	24	(	(	PUNCT
ejpam-6556	509	25	lb	lb	DET
ejpam-6556	509	26	−	−	PROPN
ejpam-6556	509	27	la	la	PROPN
ejpam-6556	509	28	)	)	PUNCT
ejpam-6556	509	29	γ+1	γ+1	PROPN
ejpam-6556	509	30	[	[	PUNCT
ejpam-6556	509	31	ab	ab	X
ejpam-6556	509	32	la	la	PROPN
ejpam-6556	509	33	iγ	iγ	PROPN
ejpam-6556	509	34	{	{	PUNCT
ejpam-6556	509	35	λ	λ	X
ejpam-6556	509	36	(	(	PUNCT
ejpam-6556	509	37	lb)}+	lb)}+	ADJ
ejpam-6556	509	38	abiγlb	abiγlb	NOUN
ejpam-6556	509	39	{	{	PUNCT
ejpam-6556	509	40	λ	λ	X
ejpam-6556	509	41	(	(	PUNCT
ejpam-6556	509	42	la	la	NOUN
ejpam-6556	509	43	)	)	PUNCT
ejpam-6556	509	44	}	}	PUNCT
ejpam-6556	509	45	]	]	PUNCT
ejpam-6556	509	46	m.	m.	NOUN
ejpam-6556	509	47	tariq	tariq	PROPN
ejpam-6556	509	48	et	et	PROPN
ejpam-6556	509	49	al	al	PROPN
ejpam-6556	509	50	.	.	PUNCT
ejpam-6556	509	51	/	/	SYM
ejpam-6556	509	52	eur	eur	PROPN
ejpam-6556	509	53	.	.	PUNCT
ejpam-6556	510	1	j.	j.	PROPN
ejpam-6556	510	2	pure	pure	PROPN
ejpam-6556	510	3	appl	appl	PROPN
ejpam-6556	510	4	.	.	PROPN
ejpam-6556	510	5	math	math	PROPN
ejpam-6556	510	6	,	,	PUNCT
ejpam-6556	510	7	18	18	NUM
ejpam-6556	510	8	(	(	PUNCT
ejpam-6556	510	9	3	3	NUM
ejpam-6556	510	10	)	)	PUNCT
ejpam-6556	510	11	(	(	PUNCT
ejpam-6556	510	12	2025	2025	NUM
ejpam-6556	510	13	)	)	PUNCT
ejpam-6556	510	14	,	,	PUNCT
ejpam-6556	510	15	6556	6556	NUM
ejpam-6556	510	16	17	17	NUM
ejpam-6556	510	17	of	of	ADP
ejpam-6556	510	18	28	28	NUM
ejpam-6556	510	19	−	−	PROPN
ejpam-6556	511	1	(	(	PUNCT
ejpam-6556	511	2	(	(	PUNCT
ejpam-6556	511	3	lb	lb	X
ejpam-6556	511	4	−	−	PROPN
ejpam-6556	511	5	la	la	PROPN
ejpam-6556	511	6	)	)	PUNCT
ejpam-6556	511	7	γ	γ	PROPN
ejpam-6556	511	8	+	+	X
ejpam-6556	511	9	(	(	PUNCT
ejpam-6556	511	10	1−	1−	NUM
ejpam-6556	511	11	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	511	12	)	)	PUNCT
ejpam-6556	511	13	(	(	PUNCT
ejpam-6556	511	14	lb	lb	X
ejpam-6556	511	15	−	−	PROPN
ejpam-6556	511	16	la	la	PROPN
ejpam-6556	511	17	)	)	PUNCT
ejpam-6556	511	18	γ+1	γ+1	NUM
ejpam-6556	511	19	)	)	PUNCT
ejpam-6556	512	1	[	[	X
ejpam-6556	512	2	λ	λ	X
ejpam-6556	512	3	(	(	PUNCT
ejpam-6556	512	4	la	la	ADJ
ejpam-6556	512	5	)	)	PUNCT
ejpam-6556	513	1	+	+	NUM
ejpam-6556	513	2	λ	λ	X
ejpam-6556	513	3	(	(	PUNCT
ejpam-6556	513	4	lb	lb	NOUN
ejpam-6556	513	5	)	)	PUNCT
ejpam-6556	513	6	]	]	PUNCT
ejpam-6556	513	7	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6556	513	8	≤	≤	NUM
ejpam-6556	513	9	2	2	NUM
ejpam-6556	513	10	(	(	PUNCT
ejpam-6556	513	11	1	1	NUM
ejpam-6556	513	12	γp+	γp+	ADJ
ejpam-6556	513	13	1	1	NUM
ejpam-6556	513	14	)	)	PUNCT
ejpam-6556	513	15	1	1	NUM
ejpam-6556	513	16	p	p	NOUN
ejpam-6556	513	17	(	(	PUNCT
ejpam-6556	513	18	|λ′	|λ′	PROPN
ejpam-6556	513	19	(	(	PUNCT
ejpam-6556	513	20	la)|q	la)|q	VERB
ejpam-6556	513	21	+	+	CCONJ
ejpam-6556	513	22	|λ′	|λ′	VERB
ejpam-6556	513	23	(	(	PUNCT
ejpam-6556	513	24	lb)|q	lb)|q	PROPN
ejpam-6556	513	25	2	2	NUM
ejpam-6556	513	26	)	)	PUNCT
ejpam-6556	513	27	1	1	NUM
ejpam-6556	513	28	q	q	NOUN
ejpam-6556	513	29	.	.	PUNCT
ejpam-6556	514	1	theorem	theorem	ADJ
ejpam-6556	514	2	11	11	NUM
ejpam-6556	514	3	.	.	PUNCT
ejpam-6556	515	1	let	let	VERB
ejpam-6556	515	2	i	i	PRON
ejpam-6556	515	3	⊆	⊆	NUM
ejpam-6556	515	4	r	r	NOUN
ejpam-6556	515	5	be	be	VERB
ejpam-6556	515	6	an	an	DET
ejpam-6556	515	7	open	open	ADJ
ejpam-6556	515	8	and	and	CCONJ
ejpam-6556	515	9	non	non	ADJ
ejpam-6556	515	10	-	-	ADJ
ejpam-6556	515	11	empty	empty	ADJ
ejpam-6556	515	12	convex	convex	NOUN
ejpam-6556	515	13	set	set	NOUN
ejpam-6556	515	14	and	and	CCONJ
ejpam-6556	515	15	la	la	NOUN
ejpam-6556	515	16	,	,	PUNCT
ejpam-6556	515	17	lb	lb	PRON
ejpam-6556	515	18	∈	∈	NOUN
ejpam-6556	515	19	i	i	X
ejpam-6556	515	20	with	with	ADP
ejpam-6556	515	21	la	la	X
ejpam-6556	515	22	<	<	X
ejpam-6556	515	23	la	la	PROPN
ejpam-6556	515	24	+	+	PROPN
ejpam-6556	515	25	∆ϱ	∆ϱ	PROPN
ejpam-6556	515	26	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	515	27	−	−	PROPN
ejpam-6556	515	28	la	la	PROPN
ejpam-6556	515	29	)	)	PUNCT
ejpam-6556	515	30	.	.	PUNCT
ejpam-6556	516	1	suppose	suppose	VERB
ejpam-6556	516	2	that	that	SCONJ
ejpam-6556	516	3	λ	λ	X
ejpam-6556	516	4	:	:	PUNCT
ejpam-6556	516	5	i	i	PRON
ejpam-6556	516	6	→	→	PUNCT
ejpam-6556	516	7	r	r	NOUN
ejpam-6556	516	8	is	be	AUX
ejpam-6556	516	9	a	a	DET
ejpam-6556	516	10	differentiable	differentiable	ADJ
ejpam-6556	516	11	function	function	NOUN
ejpam-6556	516	12	and	and	CCONJ
ejpam-6556	516	13	λ′	λ′	X
ejpam-6556	516	14	∈	∈	PROPN
ejpam-6556	516	15	l	l	NOUN
ejpam-6556	517	1	[	[	X
ejpam-6556	517	2	la	la	X
ejpam-6556	517	3	,	,	PUNCT
ejpam-6556	517	4	la	la	PROPN
ejpam-6556	517	5	+	+	PROPN
ejpam-6556	517	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	517	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	517	8	−	−	PROPN
ejpam-6556	517	9	la	la	PROPN
ejpam-6556	517	10	)	)	PUNCT
ejpam-6556	517	11	]	]	PUNCT
ejpam-6556	517	12	.	.	PUNCT
ejpam-6556	518	1	if	if	SCONJ
ejpam-6556	518	2	|λ′|q	|λ′|q	NUM
ejpam-6556	518	3	is	be	AUX
ejpam-6556	518	4	a	a	DET
ejpam-6556	518	5	gcf	gcf	PROPN
ejpam-6556	518	6	,	,	PUNCT
ejpam-6556	518	7	then	then	ADV
ejpam-6556	518	8	we	we	PRON
ejpam-6556	518	9	have	have	VERB
ejpam-6556	518	10	the	the	DET
ejpam-6556	518	11	following	follow	VERB
ejpam-6556	518	12	inequality	inequality	NOUN
ejpam-6556	518	13	for	for	ADP
ejpam-6556	518	14	abfio	abfio	NOUN
ejpam-6556	518	15	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-6556	518	16	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	518	17	)	)	PUNCT
ejpam-6556	519	1	[	[	X
ejpam-6556	519	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	519	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	519	4	−	−	PROPN
ejpam-6556	519	5	la	la	PROPN
ejpam-6556	519	6	)	)	PUNCT
ejpam-6556	519	7	]	]	PUNCT
ejpam-6556	520	1	γ+1	γ+1	PROPN
ejpam-6556	520	2	[	[	PUNCT
ejpam-6556	520	3	ab	ab	X
ejpam-6556	520	4	la	la	PROPN
ejpam-6556	520	5	iγ	iγ	PROPN
ejpam-6556	520	6	{	{	PUNCT
ejpam-6556	520	7	λ	λ	X
ejpam-6556	520	8	(	(	PUNCT
ejpam-6556	520	9	la	la	PROPN
ejpam-6556	520	10	+	+	PROPN
ejpam-6556	520	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	520	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	520	13	−	−	PROPN
ejpam-6556	520	14	la	la	PROPN
ejpam-6556	520	15	)	)	PUNCT
ejpam-6556	520	16	)	)	PUNCT
ejpam-6556	520	17	}	}	PUNCT
ejpam-6556	521	1	+	+	NUM
ejpam-6556	521	2	abiγ	abiγ	NOUN
ejpam-6556	521	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	521	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	521	5	)	)	PUNCT
ejpam-6556	521	6	{	{	PUNCT
ejpam-6556	521	7	λ	λ	X
ejpam-6556	521	8	(	(	PUNCT
ejpam-6556	521	9	la	la	NOUN
ejpam-6556	521	10	)	)	PUNCT
ejpam-6556	521	11	}	}	PUNCT
ejpam-6556	521	12	]	]	PUNCT
ejpam-6556	521	13	−	−	PROPN
ejpam-6556	522	1	(	(	PUNCT
ejpam-6556	522	2	[	[	X
ejpam-6556	522	3	∆ϱ	∆ϱ	PROPN
ejpam-6556	522	4	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	522	5	−	−	PROPN
ejpam-6556	522	6	la	la	PROPN
ejpam-6556	522	7	)	)	PUNCT
ejpam-6556	522	8	]	]	PUNCT
ejpam-6556	523	1	γ	γ	X
ejpam-6556	523	2	+	+	X
ejpam-6556	523	3	(	(	PUNCT
ejpam-6556	523	4	1−	1−	NUM
ejpam-6556	523	5	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	523	6	)	)	PUNCT
ejpam-6556	524	1	[	[	X
ejpam-6556	524	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	524	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	524	4	−	−	PROPN
ejpam-6556	524	5	la	la	PROPN
ejpam-6556	524	6	)	)	PUNCT
ejpam-6556	524	7	]	]	PUNCT
ejpam-6556	525	1	γ+1	γ+1	X
ejpam-6556	525	2	)	)	PUNCT
ejpam-6556	525	3	[	[	PUNCT
ejpam-6556	525	4	λ	λ	X
ejpam-6556	525	5	(	(	PUNCT
ejpam-6556	525	6	la	la	ADJ
ejpam-6556	525	7	)	)	PUNCT
ejpam-6556	526	1	+	+	NUM
ejpam-6556	526	2	λ	λ	X
ejpam-6556	526	3	(	(	PUNCT
ejpam-6556	526	4	la	la	PROPN
ejpam-6556	526	5	+	+	PROPN
ejpam-6556	526	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	526	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	526	8	−	−	PROPN
ejpam-6556	526	9	la	la	PROPN
ejpam-6556	526	10	)	)	PUNCT
ejpam-6556	526	11	)	)	PUNCT
ejpam-6556	527	1	]	]	PUNCT
ejpam-6556	527	2	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-6556	527	3	≤	≤	NUM
ejpam-6556	527	4	(	(	PUNCT
ejpam-6556	527	5	1	1	NUM
ejpam-6556	527	6	γ	γ	X
ejpam-6556	527	7	+	+	NOUN
ejpam-6556	527	8	1	1	NUM
ejpam-6556	527	9	)	)	PUNCT
ejpam-6556	527	10	1−	1−	NUM
ejpam-6556	527	11	1	1	NUM
ejpam-6556	527	12	q	q	NOUN
ejpam-6556	527	13	[	[	X
ejpam-6556	527	14	(	(	PUNCT
ejpam-6556	527	15	|λ′	|λ′	PROPN
ejpam-6556	527	16	(	(	PUNCT
ejpam-6556	527	17	la)|q	la)|q	ADP
ejpam-6556	527	18	γ	γ	PROPN
ejpam-6556	527	19	+	+	CCONJ
ejpam-6556	527	20	2	2	NUM
ejpam-6556	527	21	+	+	CCONJ
ejpam-6556	527	22	|λ′	|λ′	NOUN
ejpam-6556	527	23	(	(	PUNCT
ejpam-6556	527	24	lb)|q	lb)|q	INTJ
ejpam-6556	527	25	(	(	PUNCT
ejpam-6556	527	26	γ	γ	X
ejpam-6556	527	27	+	+	X
ejpam-6556	527	28	1)(γ	1)(γ	NUM
ejpam-6556	527	29	+	+	CCONJ
ejpam-6556	527	30	2	2	NUM
ejpam-6556	527	31	)	)	PUNCT
ejpam-6556	527	32	)	)	PUNCT
ejpam-6556	528	1	1	1	NUM
ejpam-6556	528	2	q	q	NOUN
ejpam-6556	528	3	+	+	CCONJ
ejpam-6556	528	4	(	(	PUNCT
ejpam-6556	528	5	|λ′	|λ′	PROPN
ejpam-6556	528	6	(	(	PUNCT
ejpam-6556	528	7	la)|q	la)|q	INTJ
ejpam-6556	528	8	(	(	PUNCT
ejpam-6556	528	9	γ	γ	X
ejpam-6556	528	10	+	+	X
ejpam-6556	528	11	1)(γ	1)(γ	NUM
ejpam-6556	528	12	+	+	CCONJ
ejpam-6556	528	13	2	2	NUM
ejpam-6556	528	14	)	)	PUNCT
ejpam-6556	528	15	+	+	CCONJ
ejpam-6556	528	16	|λ′	|λ′	NOUN
ejpam-6556	528	17	(	(	PUNCT
ejpam-6556	528	18	lb)|q	lb)|q	VERB
ejpam-6556	528	19	γ	γ	X
ejpam-6556	528	20	+	+	NOUN
ejpam-6556	528	21	2	2	NUM
ejpam-6556	528	22	)	)	PUNCT
ejpam-6556	528	23	1	1	NUM
ejpam-6556	528	24	q	q	NOUN
ejpam-6556	528	25	]	]	PUNCT
ejpam-6556	528	26	,	,	PUNCT
ejpam-6556	528	27	where	where	SCONJ
ejpam-6556	528	28	γ	γ	X
ejpam-6556	528	29	∈	∈	PROPN
ejpam-6556	528	30	(	(	PUNCT
ejpam-6556	528	31	0	0	NUM
ejpam-6556	528	32	,	,	PUNCT
ejpam-6556	528	33	1	1	NUM
ejpam-6556	528	34	]	]	PUNCT
ejpam-6556	528	35	,	,	PUNCT
ejpam-6556	528	36	q	q	X
ejpam-6556	528	37	≥	≥	NOUN
ejpam-6556	528	38	1	1	NUM
ejpam-6556	528	39	.	.	PUNCT
ejpam-6556	529	1	proof	proof	NOUN
ejpam-6556	529	2	.	.	PUNCT
ejpam-6556	530	1	employing	employ	VERB
ejpam-6556	530	2	lemma	lemma	PROPN
ejpam-6556	530	3	1	1	NUM
ejpam-6556	530	4	and	and	CCONJ
ejpam-6556	530	5	utilizing	utilize	VERB
ejpam-6556	530	6	the	the	DET
ejpam-6556	530	7	power	power	NOUN
ejpam-6556	530	8	mean	mean	NOUN
ejpam-6556	530	9	inequality	inequality	NOUN
ejpam-6556	530	10	,	,	PUNCT
ejpam-6556	530	11	we	we	PRON
ejpam-6556	530	12	get∣∣∣∣∣	get∣∣∣∣∣	VERB
ejpam-6556	530	13	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	530	14	)	)	PUNCT
ejpam-6556	531	1	[	[	X
ejpam-6556	531	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	531	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	531	4	−	−	PROPN
ejpam-6556	531	5	la	la	PROPN
ejpam-6556	531	6	)	)	PUNCT
ejpam-6556	531	7	]	]	PUNCT
ejpam-6556	532	1	γ+1	γ+1	PROPN
ejpam-6556	532	2	[	[	PUNCT
ejpam-6556	532	3	ab	ab	X
ejpam-6556	532	4	la	la	PROPN
ejpam-6556	532	5	iγ	iγ	PROPN
ejpam-6556	532	6	{	{	PUNCT
ejpam-6556	532	7	λ	λ	X
ejpam-6556	532	8	(	(	PUNCT
ejpam-6556	532	9	la	la	PROPN
ejpam-6556	532	10	+	+	PROPN
ejpam-6556	532	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	532	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	532	13	−	−	PROPN
ejpam-6556	532	14	la	la	PROPN
ejpam-6556	532	15	)	)	PUNCT
ejpam-6556	532	16	)	)	PUNCT
ejpam-6556	532	17	}	}	PUNCT
ejpam-6556	533	1	+	+	NUM
ejpam-6556	533	2	abiγ	abiγ	NOUN
ejpam-6556	533	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	533	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	533	5	)	)	PUNCT
ejpam-6556	533	6	{	{	PUNCT
ejpam-6556	533	7	λ	λ	X
ejpam-6556	533	8	(	(	PUNCT
ejpam-6556	533	9	la	la	NOUN
ejpam-6556	533	10	)	)	PUNCT
ejpam-6556	533	11	}	}	PUNCT
ejpam-6556	533	12	]	]	PUNCT
ejpam-6556	533	13	−	−	PROPN
ejpam-6556	534	1	(	(	PUNCT
ejpam-6556	534	2	[	[	X
ejpam-6556	534	3	∆ϱ	∆ϱ	PROPN
ejpam-6556	534	4	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	534	5	−	−	PROPN
ejpam-6556	534	6	la	la	PROPN
ejpam-6556	534	7	)	)	PUNCT
ejpam-6556	534	8	]	]	PUNCT
ejpam-6556	535	1	γ	γ	X
ejpam-6556	535	2	+	+	X
ejpam-6556	535	3	(	(	PUNCT
ejpam-6556	535	4	1−	1−	NUM
ejpam-6556	535	5	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	535	6	)	)	PUNCT
ejpam-6556	536	1	[	[	X
ejpam-6556	536	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	536	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	536	4	−	−	PROPN
ejpam-6556	536	5	la	la	PROPN
ejpam-6556	536	6	)	)	PUNCT
ejpam-6556	536	7	]	]	PUNCT
ejpam-6556	537	1	γ+1	γ+1	X
ejpam-6556	537	2	)	)	PUNCT
ejpam-6556	537	3	[	[	PUNCT
ejpam-6556	537	4	λ	λ	X
ejpam-6556	537	5	(	(	PUNCT
ejpam-6556	537	6	la	la	ADJ
ejpam-6556	537	7	)	)	PUNCT
ejpam-6556	538	1	+	+	NUM
ejpam-6556	538	2	λ	λ	X
ejpam-6556	538	3	(	(	PUNCT
ejpam-6556	538	4	la	la	PROPN
ejpam-6556	538	5	+	+	PROPN
ejpam-6556	538	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	538	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	538	8	−	−	PROPN
ejpam-6556	538	9	la	la	PROPN
ejpam-6556	538	10	)	)	PUNCT
ejpam-6556	538	11	)	)	PUNCT
ejpam-6556	539	1	]	]	PUNCT
ejpam-6556	539	2	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-6556	539	3	≤	≤	NUM
ejpam-6556	539	4	∫	∫	PROPN
ejpam-6556	539	5	1	1	NUM
ejpam-6556	539	6	0	0	NUM
ejpam-6556	539	7	(	(	PUNCT
ejpam-6556	539	8	1−	1−	NUM
ejpam-6556	539	9	x)γ	x)γ	PUNCT
ejpam-6556	539	10	∣∣λ′	∣∣λ′	NOUN
ejpam-6556	539	11	(	(	PUNCT
ejpam-6556	539	12	la	la	X
ejpam-6556	539	13	+	+	X
ejpam-6556	539	14	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	539	15	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	539	16	−	−	PROPN
ejpam-6556	539	17	la	la	PROPN
ejpam-6556	539	18	)	)	PUNCT
ejpam-6556	539	19	)	)	PUNCT
ejpam-6556	540	1	∣∣	∣∣	X
ejpam-6556	540	2	dx+	dx+	ADV
ejpam-6556	540	3	∫	∫	PROPN
ejpam-6556	540	4	1	1	NUM
ejpam-6556	540	5	0	0	NUM
ejpam-6556	540	6	xγ	xγ	PROPN
ejpam-6556	540	7	∣∣λ′	∣∣λ′	PROPN
ejpam-6556	540	8	(	(	PUNCT
ejpam-6556	540	9	la	la	X
ejpam-6556	540	10	+	+	NUM
ejpam-6556	540	11	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	540	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	540	13	−	−	PROPN
ejpam-6556	540	14	la	la	PROPN
ejpam-6556	540	15	)	)	PUNCT
ejpam-6556	540	16	)	)	PUNCT
ejpam-6556	541	1	∣∣	∣∣	X
ejpam-6556	541	2	dx	dx	PROPN
ejpam-6556	541	3	≤	≤	NUM
ejpam-6556	541	4	(	(	PUNCT
ejpam-6556	541	5	∫	∫	PROPN
ejpam-6556	541	6	1	1	NUM
ejpam-6556	541	7	0	0	NUM
ejpam-6556	541	8	(	(	PUNCT
ejpam-6556	541	9	1−	1−	NUM
ejpam-6556	541	10	x)γdx	x)γdx	PROPN
ejpam-6556	541	11	)	)	PUNCT
ejpam-6556	541	12	1−	1−	PROPN
ejpam-6556	541	13	1	1	NUM
ejpam-6556	541	14	q	q	NOUN
ejpam-6556	541	15	(	(	PUNCT
ejpam-6556	541	16	∫	∫	PROPN
ejpam-6556	541	17	1	1	NUM
ejpam-6556	541	18	0	0	NUM
ejpam-6556	541	19	(	(	PUNCT
ejpam-6556	541	20	1−	1−	NUM
ejpam-6556	541	21	x)γ	x)γ	PUNCT
ejpam-6556	541	22	∣∣λ′	∣∣λ′	NOUN
ejpam-6556	541	23	(	(	PUNCT
ejpam-6556	541	24	la	la	X
ejpam-6556	541	25	+	+	X
ejpam-6556	541	26	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	541	27	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	541	28	−	−	PROPN
ejpam-6556	541	29	la	la	PROPN
ejpam-6556	541	30	)	)	PUNCT
ejpam-6556	541	31	)	)	PUNCT
ejpam-6556	541	32	∣∣q	∣∣q	NUM
ejpam-6556	541	33	dx	dx	PROPN
ejpam-6556	541	34	)	)	PUNCT
ejpam-6556	541	35	1	1	NUM
ejpam-6556	541	36	q	q	NOUN
ejpam-6556	541	37	+	+	CCONJ
ejpam-6556	541	38	(	(	PUNCT
ejpam-6556	541	39	∫	∫	PROPN
ejpam-6556	541	40	1	1	NUM
ejpam-6556	541	41	0	0	NUM
ejpam-6556	541	42	xγdx	xγdx	PROPN
ejpam-6556	541	43	)	)	PUNCT
ejpam-6556	541	44	1−	1−	PROPN
ejpam-6556	541	45	1	1	NUM
ejpam-6556	541	46	q	q	NOUN
ejpam-6556	541	47	(	(	PUNCT
ejpam-6556	541	48	∫	∫	PROPN
ejpam-6556	541	49	1	1	NUM
ejpam-6556	541	50	0	0	NUM
ejpam-6556	541	51	xγ	xγ	PROPN
ejpam-6556	541	52	∣∣λ′	∣∣λ′	PROPN
ejpam-6556	541	53	(	(	PUNCT
ejpam-6556	541	54	la	la	X
ejpam-6556	541	55	+	+	NUM
ejpam-6556	541	56	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	541	57	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	541	58	−	−	PROPN
ejpam-6556	541	59	la	la	PROPN
ejpam-6556	541	60	)	)	PUNCT
ejpam-6556	541	61	)	)	PUNCT
ejpam-6556	541	62	∣∣q	∣∣q	NUM
ejpam-6556	541	63	dx	dx	PROPN
ejpam-6556	541	64	)	)	PUNCT
ejpam-6556	541	65	1	1	NUM
ejpam-6556	541	66	q	q	NOUN
ejpam-6556	541	67	·	·	PUNCT
ejpam-6556	541	68	by	by	ADP
ejpam-6556	541	69	using	use	VERB
ejpam-6556	541	70	gcf	gcf	PROPN
ejpam-6556	541	71	of	of	ADP
ejpam-6556	541	72	|λ′|q	|λ′|q	PROPN
ejpam-6556	541	73	,	,	PUNCT
ejpam-6556	541	74	we	we	PRON
ejpam-6556	541	75	have∣∣∣∣∣	have∣∣∣∣∣	PROPN
ejpam-6556	541	76	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	541	77	)	)	PUNCT
ejpam-6556	542	1	[	[	X
ejpam-6556	542	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	542	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	542	4	−	−	PROPN
ejpam-6556	542	5	la	la	PROPN
ejpam-6556	542	6	)	)	PUNCT
ejpam-6556	542	7	]	]	PUNCT
ejpam-6556	543	1	γ+1	γ+1	PROPN
ejpam-6556	543	2	[	[	PUNCT
ejpam-6556	543	3	ab	ab	X
ejpam-6556	543	4	la	la	PROPN
ejpam-6556	543	5	iγ	iγ	PROPN
ejpam-6556	543	6	{	{	PUNCT
ejpam-6556	543	7	λ	λ	X
ejpam-6556	543	8	(	(	PUNCT
ejpam-6556	543	9	la	la	PROPN
ejpam-6556	543	10	+	+	PROPN
ejpam-6556	543	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	543	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	543	13	−	−	PROPN
ejpam-6556	543	14	la	la	PROPN
ejpam-6556	543	15	)	)	PUNCT
ejpam-6556	543	16	)	)	PUNCT
ejpam-6556	543	17	}	}	PUNCT
ejpam-6556	544	1	+	+	NUM
ejpam-6556	544	2	abiγ	abiγ	NOUN
ejpam-6556	544	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	544	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	544	5	)	)	PUNCT
ejpam-6556	544	6	{	{	PUNCT
ejpam-6556	544	7	λ	λ	X
ejpam-6556	544	8	(	(	PUNCT
ejpam-6556	544	9	la	la	NOUN
ejpam-6556	544	10	)	)	PUNCT
ejpam-6556	544	11	}	}	PUNCT
ejpam-6556	544	12	]	]	PUNCT
ejpam-6556	544	13	−	−	PROPN
ejpam-6556	545	1	(	(	PUNCT
ejpam-6556	545	2	[	[	X
ejpam-6556	545	3	∆ϱ	∆ϱ	PROPN
ejpam-6556	545	4	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	545	5	−	−	PROPN
ejpam-6556	545	6	la	la	PROPN
ejpam-6556	545	7	)	)	PUNCT
ejpam-6556	545	8	]	]	PUNCT
ejpam-6556	546	1	γ	γ	X
ejpam-6556	546	2	+	+	X
ejpam-6556	546	3	(	(	PUNCT
ejpam-6556	546	4	1−	1−	NUM
ejpam-6556	546	5	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	546	6	)	)	PUNCT
ejpam-6556	547	1	[	[	X
ejpam-6556	547	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	547	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	547	4	−	−	PROPN
ejpam-6556	547	5	la	la	PROPN
ejpam-6556	547	6	)	)	PUNCT
ejpam-6556	547	7	]	]	PUNCT
ejpam-6556	548	1	γ+1	γ+1	X
ejpam-6556	548	2	)	)	PUNCT
ejpam-6556	548	3	[	[	PUNCT
ejpam-6556	548	4	λ	λ	X
ejpam-6556	548	5	(	(	PUNCT
ejpam-6556	548	6	la	la	ADJ
ejpam-6556	548	7	)	)	PUNCT
ejpam-6556	549	1	+	+	NUM
ejpam-6556	549	2	λ	λ	X
ejpam-6556	549	3	(	(	PUNCT
ejpam-6556	549	4	la	la	PROPN
ejpam-6556	549	5	+	+	PROPN
ejpam-6556	549	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	549	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	549	8	−	−	PROPN
ejpam-6556	549	9	la	la	PROPN
ejpam-6556	549	10	)	)	PUNCT
ejpam-6556	549	11	)	)	PUNCT
ejpam-6556	550	1	]	]	PUNCT
ejpam-6556	550	2	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-6556	550	3	≤	≤	NUM
ejpam-6556	550	4	(	(	PUNCT
ejpam-6556	550	5	∫	∫	PROPN
ejpam-6556	550	6	1	1	NUM
ejpam-6556	550	7	0	0	NUM
ejpam-6556	550	8	(	(	PUNCT
ejpam-6556	550	9	1−	1−	NUM
ejpam-6556	550	10	x)γdx	x)γdx	PROPN
ejpam-6556	550	11	)	)	PUNCT
ejpam-6556	550	12	1−	1−	PROPN
ejpam-6556	550	13	1	1	NUM
ejpam-6556	550	14	q	q	NOUN
ejpam-6556	550	15	(	(	PUNCT
ejpam-6556	550	16	∫	∫	PROPN
ejpam-6556	550	17	1	1	NUM
ejpam-6556	550	18	0	0	NUM
ejpam-6556	550	19	(	(	PUNCT
ejpam-6556	550	20	1−	1−	NUM
ejpam-6556	550	21	x)γ	x)γ	PUNCT
ejpam-6556	551	1	[	[	PUNCT
ejpam-6556	551	2	(	(	PUNCT
ejpam-6556	551	3	1−	1−	NUM
ejpam-6556	551	4	x	x	NOUN
ejpam-6556	551	5	)	)	PUNCT
ejpam-6556	551	6	∣∣λ′	∣∣λ′	NOUN
ejpam-6556	551	7	(	(	PUNCT
ejpam-6556	551	8	la	la	ADJ
ejpam-6556	551	9	)	)	PUNCT
ejpam-6556	551	10	∣∣q	∣∣q	PROPN
ejpam-6556	552	1	+	+	CCONJ
ejpam-6556	552	2	x	x	SYM
ejpam-6556	552	3	∣∣λ′	∣∣λ′	NOUN
ejpam-6556	552	4	(	(	PUNCT
ejpam-6556	552	5	lb	lb	X
ejpam-6556	552	6	)	)	PUNCT
ejpam-6556	552	7	∣∣q	∣∣q	NUM
ejpam-6556	552	8	]	]	PUNCT
ejpam-6556	552	9	dx	dx	PROPN
ejpam-6556	552	10	)	)	PUNCT
ejpam-6556	552	11	1	1	NUM
ejpam-6556	552	12	q	q	NOUN
ejpam-6556	552	13	m.	m.	NOUN
ejpam-6556	552	14	tariq	tariq	PROPN
ejpam-6556	552	15	et	et	PROPN
ejpam-6556	552	16	al	al	PROPN
ejpam-6556	552	17	.	.	PUNCT
ejpam-6556	552	18	/	/	SYM
ejpam-6556	552	19	eur	eur	PROPN
ejpam-6556	552	20	.	.	PUNCT
ejpam-6556	553	1	j.	j.	PROPN
ejpam-6556	553	2	pure	pure	PROPN
ejpam-6556	553	3	appl	appl	PROPN
ejpam-6556	553	4	.	.	PROPN
ejpam-6556	553	5	math	math	PROPN
ejpam-6556	553	6	,	,	PUNCT
ejpam-6556	553	7	18	18	NUM
ejpam-6556	553	8	(	(	PUNCT
ejpam-6556	553	9	3	3	NUM
ejpam-6556	553	10	)	)	PUNCT
ejpam-6556	553	11	(	(	PUNCT
ejpam-6556	553	12	2025	2025	NUM
ejpam-6556	553	13	)	)	PUNCT
ejpam-6556	553	14	,	,	PUNCT
ejpam-6556	553	15	6556	6556	NUM
ejpam-6556	553	16	18	18	NUM
ejpam-6556	553	17	of	of	ADP
ejpam-6556	553	18	28	28	NUM
ejpam-6556	553	19	+	+	CCONJ
ejpam-6556	553	20	(	(	PUNCT
ejpam-6556	553	21	∫	∫	PROPN
ejpam-6556	553	22	1	1	NUM
ejpam-6556	553	23	0	0	NUM
ejpam-6556	553	24	xγdx	xγdx	PROPN
ejpam-6556	553	25	)	)	PUNCT
ejpam-6556	553	26	1−	1−	PROPN
ejpam-6556	554	1	1	1	NUM
ejpam-6556	554	2	q	q	NOUN
ejpam-6556	554	3	(	(	PUNCT
ejpam-6556	554	4	∫	∫	PROPN
ejpam-6556	554	5	1	1	NUM
ejpam-6556	554	6	0	0	NUM
ejpam-6556	554	7	xγ	xγ	NOUN
ejpam-6556	554	8	[	[	PUNCT
ejpam-6556	554	9	(	(	PUNCT
ejpam-6556	554	10	1−	1−	NUM
ejpam-6556	554	11	x	x	NOUN
ejpam-6556	554	12	)	)	PUNCT
ejpam-6556	554	13	∣∣λ′	∣∣λ′	NOUN
ejpam-6556	554	14	(	(	PUNCT
ejpam-6556	554	15	la	la	ADJ
ejpam-6556	554	16	)	)	PUNCT
ejpam-6556	554	17	∣∣q	∣∣q	PROPN
ejpam-6556	555	1	+	+	CCONJ
ejpam-6556	555	2	x	x	SYM
ejpam-6556	555	3	∣∣λ′	∣∣λ′	NOUN
ejpam-6556	555	4	(	(	PUNCT
ejpam-6556	555	5	lb	lb	X
ejpam-6556	555	6	)	)	PUNCT
ejpam-6556	555	7	∣∣q	∣∣q	NUM
ejpam-6556	555	8	]	]	PUNCT
ejpam-6556	555	9	dx	dx	PROPN
ejpam-6556	555	10	)	)	PUNCT
ejpam-6556	555	11	1	1	NUM
ejpam-6556	555	12	q	q	NOUN
ejpam-6556	555	13	=	=	PUNCT
ejpam-6556	555	14	(	(	PUNCT
ejpam-6556	555	15	1	1	NUM
ejpam-6556	555	16	γ	γ	X
ejpam-6556	555	17	+	+	NOUN
ejpam-6556	555	18	1	1	NUM
ejpam-6556	555	19	)	)	PUNCT
ejpam-6556	555	20	1−	1−	NUM
ejpam-6556	555	21	1	1	NUM
ejpam-6556	555	22	q	q	NOUN
ejpam-6556	556	1	[	[	X
ejpam-6556	556	2	(	(	PUNCT
ejpam-6556	556	3	|λ′	|λ′	PROPN
ejpam-6556	556	4	(	(	PUNCT
ejpam-6556	556	5	la)|q	la)|q	ADP
ejpam-6556	556	6	γ	γ	PROPN
ejpam-6556	556	7	+	+	CCONJ
ejpam-6556	556	8	2	2	NUM
ejpam-6556	556	9	+	+	CCONJ
ejpam-6556	556	10	|λ′	|λ′	NOUN
ejpam-6556	556	11	(	(	PUNCT
ejpam-6556	556	12	lb)|q	lb)|q	INTJ
ejpam-6556	556	13	(	(	PUNCT
ejpam-6556	556	14	γ	γ	X
ejpam-6556	556	15	+	+	X
ejpam-6556	556	16	1)(γ	1)(γ	NUM
ejpam-6556	556	17	+	+	CCONJ
ejpam-6556	556	18	2	2	NUM
ejpam-6556	556	19	)	)	PUNCT
ejpam-6556	556	20	)	)	PUNCT
ejpam-6556	556	21	1	1	NUM
ejpam-6556	556	22	q	q	NOUN
ejpam-6556	556	23	+	+	CCONJ
ejpam-6556	556	24	(	(	PUNCT
ejpam-6556	556	25	|λ′	|λ′	PROPN
ejpam-6556	556	26	(	(	PUNCT
ejpam-6556	556	27	la)|q	la)|q	INTJ
ejpam-6556	556	28	(	(	PUNCT
ejpam-6556	556	29	γ	γ	X
ejpam-6556	556	30	+	+	X
ejpam-6556	556	31	1)(γ	1)(γ	NUM
ejpam-6556	556	32	+	+	CCONJ
ejpam-6556	556	33	2	2	NUM
ejpam-6556	556	34	)	)	PUNCT
ejpam-6556	556	35	+	+	CCONJ
ejpam-6556	556	36	|λ′	|λ′	NOUN
ejpam-6556	556	37	(	(	PUNCT
ejpam-6556	556	38	lb)|q	lb)|q	VERB
ejpam-6556	556	39	γ	γ	X
ejpam-6556	556	40	+	+	NOUN
ejpam-6556	556	41	2	2	NUM
ejpam-6556	556	42	)	)	PUNCT
ejpam-6556	556	43	1	1	NUM
ejpam-6556	556	44	q	q	NOUN
ejpam-6556	556	45	]	]	PUNCT
ejpam-6556	556	46	.	.	PUNCT
ejpam-6556	557	1	th	th	X
ejpam-6556	557	2	proof	proof	NOUN
ejpam-6556	557	3	is	be	AUX
ejpam-6556	557	4	completed	complete	VERB
ejpam-6556	557	5	.	.	PUNCT
ejpam-6556	558	1	remark	remark	PROPN
ejpam-6556	558	2	7	7	NUM
ejpam-6556	558	3	.	.	PUNCT
ejpam-6556	558	4	considering	consider	VERB
ejpam-6556	558	5	theorem	theorem	VERB
ejpam-6556	558	6	11	11	NUM
ejpam-6556	558	7	,	,	PUNCT
ejpam-6556	558	8	we	we	PRON
ejpam-6556	558	9	establish	establish	VERB
ejpam-6556	558	10	the	the	DET
ejpam-6556	558	11	following	follow	VERB
ejpam-6556	558	12	new	new	ADJ
ejpam-6556	558	13	mathematical	mathematical	ADJ
ejpam-6556	558	14	approach	approach	NOUN
ejpam-6556	558	15	of	of	ADP
ejpam-6556	558	16	hermite	hermite	PROPN
ejpam-6556	558	17	-	-	PUNCT
ejpam-6556	558	18	hadamard	hadamard	ADJ
ejpam-6556	558	19	inequality	inequality	NOUN
ejpam-6556	558	20	pertaining	pertain	VERB
ejpam-6556	558	21	to	to	ADP
ejpam-6556	558	22	the	the	DET
ejpam-6556	558	23	classical	classical	ADJ
ejpam-6556	558	24	mittag	mittag	ADJ
ejpam-6556	558	25	-	-	PUNCT
ejpam-6556	558	26	leffler	leffler	NOUN
ejpam-6556	558	27	function	function	NOUN
ejpam-6556	558	28	via	via	ADP
ejpam-6556	558	29	abfio	abfio	PROPN
ejpam-6556	558	30	if	if	SCONJ
ejpam-6556	558	31	we	we	PRON
ejpam-6556	558	32	pick	pick	VERB
ejpam-6556	558	33	ϱ	ϱ	ADP
ejpam-6556	558	34	=	=	SYM
ejpam-6556	558	35	(	(	PUNCT
ejpam-6556	558	36	1	1	NUM
ejpam-6556	558	37	,	,	PUNCT
ejpam-6556	558	38	1	1	NUM
ejpam-6556	558	39	,	,	PUNCT
ejpam-6556	558	40	.	.	PUNCT
ejpam-6556	558	41	.	.	PUNCT
ejpam-6556	558	42	.	.	PUNCT
ejpam-6556	558	43	)	)	PUNCT
ejpam-6556	559	1	with	with	ADP
ejpam-6556	559	2	ϵ	ϵ	PROPN
ejpam-6556	559	3	=	=	SYM
ejpam-6556	559	4	α	α	PROPN
ejpam-6556	559	5	and	and	CCONJ
ejpam-6556	559	6	σ	σ	NUM
ejpam-6556	559	7	=	=	PROPN
ejpam-6556	559	8	1:∣∣∣∣	1:∣∣∣∣	NUM
ejpam-6556	559	9	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	559	10	)	)	PUNCT
ejpam-6556	559	11	[	[	X
ejpam-6556	559	12	eα(lb	eα(lb	X
ejpam-6556	559	13	−	−	X
ejpam-6556	559	14	la	la	NOUN
ejpam-6556	559	15	)	)	PUNCT
ejpam-6556	559	16	]	]	PUNCT
ejpam-6556	560	1	γ+1	γ+1	PROPN
ejpam-6556	560	2	[	[	PUNCT
ejpam-6556	560	3	ab	ab	X
ejpam-6556	560	4	la	la	PROPN
ejpam-6556	560	5	iγ	iγ	PROPN
ejpam-6556	560	6	{	{	PUNCT
ejpam-6556	560	7	λ	λ	X
ejpam-6556	560	8	(	(	PUNCT
ejpam-6556	560	9	la	la	PROPN
ejpam-6556	560	10	+	+	CCONJ
ejpam-6556	560	11	eα(lb	eα(lb	ADJ
ejpam-6556	560	12	−	−	PROPN
ejpam-6556	560	13	la))}+	la))}+	NOUN
ejpam-6556	560	14	abiγla+eα(lb−la	abiγla+eα(lb−la	NOUN
ejpam-6556	560	15	)	)	PUNCT
ejpam-6556	560	16	{	{	PUNCT
ejpam-6556	560	17	λ	λ	X
ejpam-6556	560	18	(	(	PUNCT
ejpam-6556	560	19	mla	mla	PROPN
ejpam-6556	560	20	)	)	PUNCT
ejpam-6556	560	21	}	}	PUNCT
ejpam-6556	560	22	]	]	PUNCT
ejpam-6556	560	23	−	−	PROPN
ejpam-6556	560	24	(	(	PUNCT
ejpam-6556	560	25	[	[	X
ejpam-6556	560	26	eα(lb	eα(lb	X
ejpam-6556	560	27	−	−	NOUN
ejpam-6556	560	28	la	la	NOUN
ejpam-6556	560	29	)	)	PUNCT
ejpam-6556	560	30	]	]	PUNCT
ejpam-6556	561	1	γ	γ	X
ejpam-6556	561	2	+	+	X
ejpam-6556	561	3	(	(	PUNCT
ejpam-6556	561	4	1−	1−	NUM
ejpam-6556	561	5	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	561	6	)	)	PUNCT
ejpam-6556	562	1	[	[	X
ejpam-6556	562	2	eα(lb	eα(lb	X
ejpam-6556	562	3	−	−	X
ejpam-6556	562	4	la	la	NOUN
ejpam-6556	562	5	)	)	PUNCT
ejpam-6556	562	6	]	]	PUNCT
ejpam-6556	563	1	γ+1	γ+1	X
ejpam-6556	563	2	)	)	PUNCT
ejpam-6556	564	1	[	[	X
ejpam-6556	564	2	λ	λ	X
ejpam-6556	564	3	(	(	PUNCT
ejpam-6556	564	4	la	la	ADJ
ejpam-6556	564	5	)	)	PUNCT
ejpam-6556	565	1	+	+	NUM
ejpam-6556	565	2	λ	λ	X
ejpam-6556	565	3	(	(	PUNCT
ejpam-6556	565	4	la	la	PROPN
ejpam-6556	565	5	+	+	CCONJ
ejpam-6556	565	6	eα(lb	eα(lb	ADJ
ejpam-6556	565	7	−	−	PROPN
ejpam-6556	565	8	la	la	NOUN
ejpam-6556	565	9	)	)	PUNCT
ejpam-6556	565	10	)	)	PUNCT
ejpam-6556	565	11	]	]	PUNCT
ejpam-6556	566	1	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6556	566	2	≤	≤	NOUN
ejpam-6556	566	3	(	(	PUNCT
ejpam-6556	566	4	1	1	NUM
ejpam-6556	566	5	γ	γ	X
ejpam-6556	566	6	+	+	NOUN
ejpam-6556	566	7	1	1	NUM
ejpam-6556	566	8	)	)	PUNCT
ejpam-6556	566	9	1−	1−	NUM
ejpam-6556	566	10	1	1	NUM
ejpam-6556	566	11	q	q	NOUN
ejpam-6556	567	1	[	[	X
ejpam-6556	567	2	(	(	PUNCT
ejpam-6556	567	3	|λ′	|λ′	PROPN
ejpam-6556	567	4	(	(	PUNCT
ejpam-6556	567	5	la)|q	la)|q	ADP
ejpam-6556	567	6	γ	γ	PROPN
ejpam-6556	567	7	+	+	CCONJ
ejpam-6556	567	8	2	2	NUM
ejpam-6556	567	9	+	+	CCONJ
ejpam-6556	567	10	|λ′	|λ′	NOUN
ejpam-6556	567	11	(	(	PUNCT
ejpam-6556	567	12	lb)|q	lb)|q	INTJ
ejpam-6556	567	13	(	(	PUNCT
ejpam-6556	567	14	γ	γ	X
ejpam-6556	567	15	+	+	X
ejpam-6556	567	16	1)(γ	1)(γ	NUM
ejpam-6556	567	17	+	+	CCONJ
ejpam-6556	567	18	2	2	NUM
ejpam-6556	567	19	)	)	PUNCT
ejpam-6556	567	20	)	)	PUNCT
ejpam-6556	567	21	1	1	NUM
ejpam-6556	567	22	q	q	NOUN
ejpam-6556	567	23	+	+	CCONJ
ejpam-6556	567	24	(	(	PUNCT
ejpam-6556	567	25	|λ′	|λ′	PROPN
ejpam-6556	567	26	(	(	PUNCT
ejpam-6556	567	27	la)|q	la)|q	INTJ
ejpam-6556	567	28	(	(	PUNCT
ejpam-6556	567	29	γ	γ	X
ejpam-6556	567	30	+	+	X
ejpam-6556	567	31	1)(γ	1)(γ	NUM
ejpam-6556	567	32	+	+	CCONJ
ejpam-6556	567	33	2	2	NUM
ejpam-6556	567	34	)	)	PUNCT
ejpam-6556	567	35	+	+	CCONJ
ejpam-6556	567	36	|λ′	|λ′	NOUN
ejpam-6556	567	37	(	(	PUNCT
ejpam-6556	567	38	lb)|q	lb)|q	VERB
ejpam-6556	567	39	γ	γ	X
ejpam-6556	567	40	+	+	NOUN
ejpam-6556	567	41	2	2	NUM
ejpam-6556	567	42	)	)	PUNCT
ejpam-6556	567	43	1	1	NUM
ejpam-6556	567	44	q	q	NOUN
ejpam-6556	567	45	]	]	PUNCT
ejpam-6556	567	46	,	,	PUNCT
ejpam-6556	567	47	corollary	corollary	ADJ
ejpam-6556	567	48	3	3	X
ejpam-6556	567	49	.	.	PUNCT
ejpam-6556	568	1	in	in	ADP
ejpam-6556	568	2	the	the	DET
ejpam-6556	568	3	above	above	ADJ
ejpam-6556	568	4	theorem	theorem	NOUN
ejpam-6556	568	5	,	,	PUNCT
ejpam-6556	568	6	if	if	SCONJ
ejpam-6556	568	7	we	we	PRON
ejpam-6556	568	8	choose	choose	VERB
ejpam-6556	568	9	∆ϱ	∆ϱ	PROPN
ejpam-6556	568	10	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	568	11	−	−	PROPN
ejpam-6556	568	12	la	la	PROPN
ejpam-6556	568	13	)	)	PUNCT
ejpam-6556	568	14	=	=	SYM
ejpam-6556	568	15	lb	lb	DET
ejpam-6556	568	16	−	−	PROPN
ejpam-6556	568	17	la	la	PROPN
ejpam-6556	568	18	,	,	PUNCT
ejpam-6556	568	19	we	we	PRON
ejpam-6556	568	20	obtain∣∣∣∣	obtain∣∣∣∣	ADJ
ejpam-6556	568	21	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	568	22	)	)	PUNCT
ejpam-6556	568	23	(	(	PUNCT
ejpam-6556	568	24	lb	lb	DET
ejpam-6556	568	25	−	−	PROPN
ejpam-6556	568	26	la	la	PROPN
ejpam-6556	568	27	)	)	PUNCT
ejpam-6556	568	28	γ+1	γ+1	PROPN
ejpam-6556	569	1	[	[	PUNCT
ejpam-6556	569	2	ab	ab	X
ejpam-6556	569	3	la	la	PROPN
ejpam-6556	569	4	iγ	iγ	PROPN
ejpam-6556	569	5	{	{	PUNCT
ejpam-6556	569	6	λ	λ	X
ejpam-6556	569	7	(	(	PUNCT
ejpam-6556	569	8	lb)}+	lb)}+	ADJ
ejpam-6556	569	9	abiγlb	abiγlb	NOUN
ejpam-6556	569	10	{	{	PUNCT
ejpam-6556	569	11	λ	λ	X
ejpam-6556	569	12	(	(	PUNCT
ejpam-6556	569	13	la	la	NOUN
ejpam-6556	569	14	)	)	PUNCT
ejpam-6556	569	15	}	}	PUNCT
ejpam-6556	569	16	]	]	PUNCT
ejpam-6556	569	17	−	−	PROPN
ejpam-6556	569	18	(	(	PUNCT
ejpam-6556	569	19	(	(	PUNCT
ejpam-6556	569	20	lb	lb	X
ejpam-6556	569	21	−	−	PROPN
ejpam-6556	569	22	la	la	PROPN
ejpam-6556	569	23	)	)	PUNCT
ejpam-6556	569	24	γ	γ	PROPN
ejpam-6556	569	25	+	+	X
ejpam-6556	569	26	(	(	PUNCT
ejpam-6556	569	27	1−	1−	NUM
ejpam-6556	569	28	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	569	29	)	)	PUNCT
ejpam-6556	569	30	(	(	PUNCT
ejpam-6556	569	31	lb	lb	X
ejpam-6556	569	32	−	−	PROPN
ejpam-6556	569	33	la	la	PROPN
ejpam-6556	569	34	)	)	PUNCT
ejpam-6556	569	35	γ+1	γ+1	NUM
ejpam-6556	569	36	)	)	PUNCT
ejpam-6556	570	1	[	[	X
ejpam-6556	570	2	λ	λ	X
ejpam-6556	570	3	(	(	PUNCT
ejpam-6556	570	4	la	la	ADJ
ejpam-6556	570	5	)	)	PUNCT
ejpam-6556	571	1	+	+	NUM
ejpam-6556	571	2	λ	λ	X
ejpam-6556	571	3	(	(	PUNCT
ejpam-6556	571	4	lb	lb	NOUN
ejpam-6556	571	5	)	)	PUNCT
ejpam-6556	571	6	]	]	PUNCT
ejpam-6556	571	7	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6556	571	8	≤	≤	NOUN
ejpam-6556	571	9	(	(	PUNCT
ejpam-6556	571	10	1	1	NUM
ejpam-6556	571	11	γ	γ	X
ejpam-6556	571	12	+	+	NOUN
ejpam-6556	571	13	1	1	NUM
ejpam-6556	571	14	)	)	PUNCT
ejpam-6556	571	15	1−	1−	NUM
ejpam-6556	571	16	1	1	NUM
ejpam-6556	571	17	q	q	NOUN
ejpam-6556	572	1	[	[	X
ejpam-6556	572	2	(	(	PUNCT
ejpam-6556	572	3	|λ′	|λ′	PROPN
ejpam-6556	572	4	(	(	PUNCT
ejpam-6556	572	5	la)|q	la)|q	ADP
ejpam-6556	572	6	γ	γ	PROPN
ejpam-6556	572	7	+	+	CCONJ
ejpam-6556	572	8	2	2	NUM
ejpam-6556	572	9	+	+	CCONJ
ejpam-6556	572	10	|λ′	|λ′	NOUN
ejpam-6556	572	11	(	(	PUNCT
ejpam-6556	572	12	lb)|q	lb)|q	INTJ
ejpam-6556	572	13	(	(	PUNCT
ejpam-6556	572	14	γ	γ	X
ejpam-6556	572	15	+	+	X
ejpam-6556	572	16	1)(γ	1)(γ	NUM
ejpam-6556	572	17	+	+	CCONJ
ejpam-6556	572	18	2	2	NUM
ejpam-6556	572	19	)	)	PUNCT
ejpam-6556	572	20	)	)	PUNCT
ejpam-6556	572	21	1	1	NUM
ejpam-6556	572	22	q	q	NOUN
ejpam-6556	572	23	+	+	CCONJ
ejpam-6556	572	24	(	(	PUNCT
ejpam-6556	572	25	|λ′	|λ′	PROPN
ejpam-6556	572	26	(	(	PUNCT
ejpam-6556	572	27	la)|q	la)|q	INTJ
ejpam-6556	572	28	(	(	PUNCT
ejpam-6556	572	29	γ	γ	X
ejpam-6556	572	30	+	+	X
ejpam-6556	572	31	1)(γ	1)(γ	NUM
ejpam-6556	572	32	+	+	CCONJ
ejpam-6556	572	33	2	2	NUM
ejpam-6556	572	34	)	)	PUNCT
ejpam-6556	572	35	+	+	CCONJ
ejpam-6556	572	36	|λ′	|λ′	NOUN
ejpam-6556	572	37	(	(	PUNCT
ejpam-6556	572	38	lb)|q	lb)|q	VERB
ejpam-6556	572	39	γ	γ	X
ejpam-6556	572	40	+	+	NOUN
ejpam-6556	572	41	2	2	NUM
ejpam-6556	572	42	)	)	PUNCT
ejpam-6556	572	43	1	1	NUM
ejpam-6556	572	44	q	q	NOUN
ejpam-6556	572	45	]	]	PUNCT
ejpam-6556	572	46	.	.	PUNCT
ejpam-6556	573	1	theorem	theorem	NOUN
ejpam-6556	573	2	12	12	NUM
ejpam-6556	573	3	.	.	PUNCT
ejpam-6556	574	1	let	let	VERB
ejpam-6556	574	2	i	i	PRON
ejpam-6556	574	3	⊆	⊆	NUM
ejpam-6556	574	4	r	r	NOUN
ejpam-6556	574	5	be	be	VERB
ejpam-6556	574	6	an	an	DET
ejpam-6556	574	7	open	open	ADJ
ejpam-6556	574	8	and	and	CCONJ
ejpam-6556	574	9	non	non	ADJ
ejpam-6556	574	10	-	-	ADJ
ejpam-6556	574	11	empty	empty	ADJ
ejpam-6556	574	12	convex	convex	NOUN
ejpam-6556	574	13	set	set	NOUN
ejpam-6556	574	14	and	and	CCONJ
ejpam-6556	574	15	la	la	NOUN
ejpam-6556	574	16	,	,	PUNCT
ejpam-6556	574	17	lb	lb	PRON
ejpam-6556	574	18	∈	∈	NOUN
ejpam-6556	574	19	i	i	X
ejpam-6556	574	20	with	with	ADP
ejpam-6556	574	21	la	la	X
ejpam-6556	574	22	<	<	X
ejpam-6556	574	23	la	la	PROPN
ejpam-6556	574	24	+	+	PROPN
ejpam-6556	574	25	∆ϱ	∆ϱ	PROPN
ejpam-6556	574	26	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	574	27	−	−	PROPN
ejpam-6556	574	28	la	la	PROPN
ejpam-6556	574	29	)	)	PUNCT
ejpam-6556	574	30	.	.	PUNCT
ejpam-6556	575	1	suppose	suppose	VERB
ejpam-6556	575	2	that	that	SCONJ
ejpam-6556	575	3	λ	λ	X
ejpam-6556	575	4	:	:	PUNCT
ejpam-6556	575	5	i	i	PRON
ejpam-6556	575	6	→	→	PUNCT
ejpam-6556	575	7	r	r	NOUN
ejpam-6556	575	8	is	be	AUX
ejpam-6556	575	9	a	a	DET
ejpam-6556	575	10	differentiable	differentiable	ADJ
ejpam-6556	575	11	function	function	NOUN
ejpam-6556	575	12	and	and	CCONJ
ejpam-6556	575	13	λ′	λ′	X
ejpam-6556	575	14	∈	∈	PROPN
ejpam-6556	575	15	l	l	NOUN
ejpam-6556	576	1	[	[	X
ejpam-6556	576	2	la	la	X
ejpam-6556	576	3	,	,	PUNCT
ejpam-6556	576	4	la	la	PROPN
ejpam-6556	576	5	+	+	PROPN
ejpam-6556	576	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	576	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	576	8	−	−	PROPN
ejpam-6556	576	9	la	la	PROPN
ejpam-6556	576	10	)	)	PUNCT
ejpam-6556	576	11	]	]	PUNCT
ejpam-6556	576	12	.	.	PUNCT
ejpam-6556	577	1	if	if	SCONJ
ejpam-6556	577	2	|λ′|q	|λ′|q	NUM
ejpam-6556	577	3	is	be	AUX
ejpam-6556	577	4	a	a	DET
ejpam-6556	577	5	gcf	gcf	PROPN
ejpam-6556	577	6	,	,	PUNCT
ejpam-6556	577	7	then	then	ADV
ejpam-6556	577	8	we	we	PRON
ejpam-6556	577	9	have	have	VERB
ejpam-6556	577	10	the	the	DET
ejpam-6556	577	11	following	follow	VERB
ejpam-6556	577	12	inequality	inequality	NOUN
ejpam-6556	577	13	for	for	ADP
ejpam-6556	577	14	abfio	abfio	NOUN
ejpam-6556	577	15	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-6556	577	16	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	577	17	)	)	PUNCT
ejpam-6556	578	1	[	[	X
ejpam-6556	578	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	578	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	578	4	−	−	PROPN
ejpam-6556	578	5	la	la	PROPN
ejpam-6556	578	6	)	)	PUNCT
ejpam-6556	578	7	]	]	PUNCT
ejpam-6556	579	1	γ+1	γ+1	PROPN
ejpam-6556	579	2	[	[	PUNCT
ejpam-6556	579	3	ab	ab	X
ejpam-6556	579	4	la	la	PROPN
ejpam-6556	579	5	iγ	iγ	PROPN
ejpam-6556	579	6	{	{	PUNCT
ejpam-6556	579	7	λ	λ	X
ejpam-6556	579	8	(	(	PUNCT
ejpam-6556	579	9	la	la	PROPN
ejpam-6556	579	10	+	+	PROPN
ejpam-6556	579	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	579	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	579	13	−	−	PROPN
ejpam-6556	579	14	la	la	PROPN
ejpam-6556	579	15	)	)	PUNCT
ejpam-6556	579	16	)	)	PUNCT
ejpam-6556	579	17	}	}	PUNCT
ejpam-6556	580	1	+	+	NUM
ejpam-6556	580	2	abiγ	abiγ	NOUN
ejpam-6556	580	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	580	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	580	5	)	)	PUNCT
ejpam-6556	580	6	{	{	PUNCT
ejpam-6556	580	7	λ	λ	X
ejpam-6556	580	8	(	(	PUNCT
ejpam-6556	580	9	la	la	NOUN
ejpam-6556	580	10	)	)	PUNCT
ejpam-6556	580	11	}	}	PUNCT
ejpam-6556	580	12	]	]	PUNCT
ejpam-6556	580	13	−	−	PROPN
ejpam-6556	581	1	(	(	PUNCT
ejpam-6556	581	2	[	[	X
ejpam-6556	581	3	∆ϱ	∆ϱ	PROPN
ejpam-6556	581	4	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	581	5	−	−	PROPN
ejpam-6556	581	6	la	la	PROPN
ejpam-6556	581	7	)	)	PUNCT
ejpam-6556	581	8	]	]	PUNCT
ejpam-6556	582	1	γ	γ	X
ejpam-6556	582	2	+	+	X
ejpam-6556	582	3	(	(	PUNCT
ejpam-6556	582	4	1−	1−	NUM
ejpam-6556	582	5	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	582	6	)	)	PUNCT
ejpam-6556	583	1	[	[	X
ejpam-6556	583	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	583	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	583	4	−	−	PROPN
ejpam-6556	583	5	la	la	PROPN
ejpam-6556	583	6	)	)	PUNCT
ejpam-6556	583	7	]	]	PUNCT
ejpam-6556	584	1	γ+1	γ+1	X
ejpam-6556	584	2	)	)	PUNCT
ejpam-6556	584	3	[	[	PUNCT
ejpam-6556	584	4	λ	λ	X
ejpam-6556	584	5	(	(	PUNCT
ejpam-6556	584	6	la	la	ADJ
ejpam-6556	584	7	)	)	PUNCT
ejpam-6556	585	1	+	+	NUM
ejpam-6556	585	2	λ	λ	X
ejpam-6556	585	3	(	(	PUNCT
ejpam-6556	585	4	la	la	PROPN
ejpam-6556	585	5	+	+	PROPN
ejpam-6556	585	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	585	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	585	8	−	−	PROPN
ejpam-6556	585	9	la	la	PROPN
ejpam-6556	585	10	)	)	PUNCT
ejpam-6556	585	11	)	)	PUNCT
ejpam-6556	586	1	]	]	PUNCT
ejpam-6556	586	2	∣∣∣∣∣	∣∣∣∣∣	SYM
ejpam-6556	586	3	≤	≤	NOUN
ejpam-6556	586	4	2	2	NUM
ejpam-6556	586	5	p(γp+	p(γp+	NOUN
ejpam-6556	586	6	1	1	NUM
ejpam-6556	586	7	)	)	PUNCT
ejpam-6556	586	8	+	+	CCONJ
ejpam-6556	586	9	|λ′	|λ′	VERB
ejpam-6556	586	10	(	(	PUNCT
ejpam-6556	586	11	la)|q	la)|q	VERB
ejpam-6556	586	12	+	+	CCONJ
ejpam-6556	586	13	|λ′	|λ′	VERB
ejpam-6556	586	14	(	(	PUNCT
ejpam-6556	586	15	lb)|q	lb)|q	INTJ
ejpam-6556	586	16	q	q	X
ejpam-6556	586	17	,	,	PUNCT
ejpam-6556	586	18	where	where	SCONJ
ejpam-6556	586	19	p−1	p−1	PROPN
ejpam-6556	586	20	+	+	PROPN
ejpam-6556	586	21	q−1	q−1	PROPN
ejpam-6556	586	22	=	=	PUNCT
ejpam-6556	586	23	1	1	NUM
ejpam-6556	586	24	,	,	PUNCT
ejpam-6556	586	25	q	q	ADJ
ejpam-6556	586	26	>	>	X
ejpam-6556	586	27	1	1	NUM
ejpam-6556	586	28	,	,	PUNCT
ejpam-6556	586	29	γ	γ	X
ejpam-6556	586	30	∈	∈	PROPN
ejpam-6556	586	31	(	(	PUNCT
ejpam-6556	586	32	0	0	NUM
ejpam-6556	586	33	,	,	PUNCT
ejpam-6556	586	34	1	1	NUM
ejpam-6556	586	35	]	]	PUNCT
ejpam-6556	586	36	.	.	PUNCT
ejpam-6556	587	1	m.	m.	PROPN
ejpam-6556	587	2	tariq	tariq	PROPN
ejpam-6556	587	3	et	et	PROPN
ejpam-6556	587	4	al	al	PROPN
ejpam-6556	587	5	.	.	PUNCT
ejpam-6556	587	6	/	/	SYM
ejpam-6556	587	7	eur	eur	PROPN
ejpam-6556	587	8	.	.	PUNCT
ejpam-6556	588	1	j.	j.	PROPN
ejpam-6556	588	2	pure	pure	PROPN
ejpam-6556	588	3	appl	appl	PROPN
ejpam-6556	588	4	.	.	PROPN
ejpam-6556	588	5	math	math	PROPN
ejpam-6556	588	6	,	,	PUNCT
ejpam-6556	588	7	18	18	NUM
ejpam-6556	588	8	(	(	PUNCT
ejpam-6556	588	9	3	3	NUM
ejpam-6556	588	10	)	)	PUNCT
ejpam-6556	588	11	(	(	PUNCT
ejpam-6556	588	12	2025	2025	NUM
ejpam-6556	588	13	)	)	PUNCT
ejpam-6556	588	14	,	,	PUNCT
ejpam-6556	588	15	6556	6556	NUM
ejpam-6556	588	16	19	19	NUM
ejpam-6556	588	17	of	of	ADP
ejpam-6556	588	18	28	28	NUM
ejpam-6556	588	19	proof	proof	NOUN
ejpam-6556	588	20	.	.	PUNCT
ejpam-6556	589	1	by	by	ADP
ejpam-6556	589	2	using	use	VERB
ejpam-6556	589	3	the	the	DET
ejpam-6556	589	4	identity	identity	NOUN
ejpam-6556	589	5	given	give	VERB
ejpam-6556	589	6	in	in	ADP
ejpam-6556	589	7	lemma	lemma	PROPN
ejpam-6556	589	8	1	1	NUM
ejpam-6556	589	9	and	and	CCONJ
ejpam-6556	589	10	applying	apply	VERB
ejpam-6556	589	11	the	the	DET
ejpam-6556	589	12	young	young	ADJ
ejpam-6556	589	13	inequality	inequality	NOUN
ejpam-6556	589	14	xy	xy	ADP
ejpam-6556	589	15	≤	≤	ADV
ejpam-6556	589	16	1	1	NUM
ejpam-6556	589	17	px	px	PROPN
ejpam-6556	589	18	p	p	PROPN
ejpam-6556	589	19	+	+	PROPN
ejpam-6556	589	20	1	1	NUM
ejpam-6556	589	21	qy	qy	NOUN
ejpam-6556	589	22	q	q	NOUN
ejpam-6556	589	23	,	,	PUNCT
ejpam-6556	589	24	we	we	PRON
ejpam-6556	589	25	get∣∣∣∣∣	get∣∣∣∣∣	VERB
ejpam-6556	589	26	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	589	27	)	)	PUNCT
ejpam-6556	590	1	[	[	X
ejpam-6556	590	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	590	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	590	4	−	−	PROPN
ejpam-6556	590	5	la	la	PROPN
ejpam-6556	590	6	)	)	PUNCT
ejpam-6556	590	7	]	]	PUNCT
ejpam-6556	591	1	γ+1	γ+1	PROPN
ejpam-6556	591	2	[	[	PUNCT
ejpam-6556	591	3	ab	ab	X
ejpam-6556	591	4	la	la	PROPN
ejpam-6556	591	5	iγ	iγ	PROPN
ejpam-6556	591	6	{	{	PUNCT
ejpam-6556	591	7	λ	λ	X
ejpam-6556	591	8	(	(	PUNCT
ejpam-6556	591	9	la	la	PROPN
ejpam-6556	591	10	+	+	PROPN
ejpam-6556	591	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	591	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	591	13	−	−	PROPN
ejpam-6556	591	14	la	la	PROPN
ejpam-6556	591	15	)	)	PUNCT
ejpam-6556	591	16	)	)	PUNCT
ejpam-6556	591	17	}	}	PUNCT
ejpam-6556	592	1	+	+	NUM
ejpam-6556	592	2	abiγ	abiγ	NOUN
ejpam-6556	592	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	592	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	592	5	)	)	PUNCT
ejpam-6556	592	6	{	{	PUNCT
ejpam-6556	592	7	λ	λ	X
ejpam-6556	592	8	(	(	PUNCT
ejpam-6556	592	9	la	la	NOUN
ejpam-6556	592	10	)	)	PUNCT
ejpam-6556	592	11	}	}	PUNCT
ejpam-6556	592	12	]	]	PUNCT
ejpam-6556	592	13	−	−	PROPN
ejpam-6556	593	1	(	(	PUNCT
ejpam-6556	593	2	[	[	X
ejpam-6556	593	3	∆ϱ	∆ϱ	PROPN
ejpam-6556	593	4	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	593	5	−	−	PROPN
ejpam-6556	593	6	la	la	PROPN
ejpam-6556	593	7	)	)	PUNCT
ejpam-6556	593	8	]	]	PUNCT
ejpam-6556	594	1	γ	γ	X
ejpam-6556	594	2	+	+	X
ejpam-6556	594	3	(	(	PUNCT
ejpam-6556	594	4	1−	1−	NUM
ejpam-6556	594	5	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	594	6	)	)	PUNCT
ejpam-6556	595	1	[	[	X
ejpam-6556	595	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	595	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	595	4	−	−	PROPN
ejpam-6556	595	5	la	la	PROPN
ejpam-6556	595	6	)	)	PUNCT
ejpam-6556	595	7	]	]	PUNCT
ejpam-6556	596	1	γ+1	γ+1	X
ejpam-6556	596	2	)	)	PUNCT
ejpam-6556	596	3	[	[	PUNCT
ejpam-6556	596	4	λ	λ	X
ejpam-6556	596	5	(	(	PUNCT
ejpam-6556	596	6	la	la	ADJ
ejpam-6556	596	7	)	)	PUNCT
ejpam-6556	597	1	+	+	NUM
ejpam-6556	597	2	λ	λ	X
ejpam-6556	597	3	(	(	PUNCT
ejpam-6556	597	4	la	la	PROPN
ejpam-6556	597	5	+	+	PROPN
ejpam-6556	597	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	597	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	597	8	−	−	PROPN
ejpam-6556	597	9	la	la	PROPN
ejpam-6556	597	10	)	)	PUNCT
ejpam-6556	597	11	)	)	PUNCT
ejpam-6556	598	1	]	]	PUNCT
ejpam-6556	598	2	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-6556	598	3	≤	≤	NUM
ejpam-6556	598	4	∫	∫	PROPN
ejpam-6556	598	5	1	1	NUM
ejpam-6556	598	6	0	0	NUM
ejpam-6556	598	7	(	(	PUNCT
ejpam-6556	598	8	1−	1−	NUM
ejpam-6556	598	9	x)γ	x)γ	PUNCT
ejpam-6556	598	10	∣∣λ′	∣∣λ′	NOUN
ejpam-6556	598	11	(	(	PUNCT
ejpam-6556	598	12	la	la	X
ejpam-6556	598	13	+	+	X
ejpam-6556	598	14	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	598	15	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	598	16	−	−	PROPN
ejpam-6556	598	17	la	la	PROPN
ejpam-6556	598	18	)	)	PUNCT
ejpam-6556	598	19	)	)	PUNCT
ejpam-6556	599	1	∣∣	∣∣	X
ejpam-6556	599	2	dx+	dx+	ADV
ejpam-6556	599	3	∫	∫	PROPN
ejpam-6556	599	4	1	1	NUM
ejpam-6556	599	5	0	0	NUM
ejpam-6556	599	6	xγ	xγ	AUX
ejpam-6556	599	7	∣∣λ′	∣∣λ′	PROPN
ejpam-6556	599	8	(	(	PUNCT
ejpam-6556	599	9	la	la	X
ejpam-6556	599	10	+	+	NUM
ejpam-6556	599	11	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	599	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	599	13	−	−	PROPN
ejpam-6556	599	14	la	la	PROPN
ejpam-6556	599	15	)	)	PUNCT
ejpam-6556	599	16	)	)	PUNCT
ejpam-6556	599	17	∣∣	∣∣	PROPN
ejpam-6556	599	18	dx	dx	PROPN
ejpam-6556	599	19	.	.	PUNCT
ejpam-6556	600	1	≤	≤	NUM
ejpam-6556	600	2	1	1	NUM
ejpam-6556	600	3	p	p	NOUN
ejpam-6556	600	4	∫	∫	PROPN
ejpam-6556	600	5	1	1	NUM
ejpam-6556	600	6	0	0	NUM
ejpam-6556	600	7	(	(	PUNCT
ejpam-6556	600	8	1−	1−	NUM
ejpam-6556	600	9	x)γpdx+	x)γpdx+	NOUN
ejpam-6556	600	10	1	1	NUM
ejpam-6556	600	11	q	q	NOUN
ejpam-6556	600	12	∫	∫	PROPN
ejpam-6556	600	13	1	1	NUM
ejpam-6556	600	14	0	0	NUM
ejpam-6556	600	15	∣∣λ′	∣∣λ′	NOUN
ejpam-6556	600	16	(	(	PUNCT
ejpam-6556	600	17	la	la	NOUN
ejpam-6556	600	18	+	+	X
ejpam-6556	600	19	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	600	20	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	600	21	−	−	PROPN
ejpam-6556	600	22	la	la	PROPN
ejpam-6556	600	23	)	)	PUNCT
ejpam-6556	600	24	)	)	PUNCT
ejpam-6556	600	25	∣∣q	∣∣q	NUM
ejpam-6556	600	26	dx	dx	PROPN
ejpam-6556	600	27	+	+	NOUN
ejpam-6556	600	28	1	1	NUM
ejpam-6556	600	29	p	p	NOUN
ejpam-6556	600	30	∫	∫	PROPN
ejpam-6556	600	31	1	1	NUM
ejpam-6556	600	32	0	0	NUM
ejpam-6556	601	1	xγpdx+	xγpdx+	SYM
ejpam-6556	601	2	1	1	NUM
ejpam-6556	601	3	q	q	NOUN
ejpam-6556	601	4	∫	∫	PROPN
ejpam-6556	601	5	1	1	NUM
ejpam-6556	601	6	0	0	NUM
ejpam-6556	601	7	∣∣λ′	∣∣λ′	NOUN
ejpam-6556	601	8	(	(	PUNCT
ejpam-6556	601	9	la	la	NOUN
ejpam-6556	601	10	+	+	X
ejpam-6556	601	11	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	601	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	601	13	−	−	PROPN
ejpam-6556	601	14	la	la	PROPN
ejpam-6556	601	15	)	)	PUNCT
ejpam-6556	601	16	)	)	PUNCT
ejpam-6556	601	17	∣∣q	∣∣q	NUM
ejpam-6556	601	18	dx	dx	PROPN
ejpam-6556	601	19	.	.	PUNCT
ejpam-6556	602	1	by	by	ADP
ejpam-6556	602	2	using	use	VERB
ejpam-6556	602	3	gcf	gcf	PROPN
ejpam-6556	602	4	of	of	ADP
ejpam-6556	602	5	|λ′|q	|λ′|q	PROPN
ejpam-6556	602	6	and	and	CCONJ
ejpam-6556	602	7	by	by	ADP
ejpam-6556	602	8	a	a	DET
ejpam-6556	602	9	simple	simple	ADJ
ejpam-6556	602	10	computation	computation	NOUN
ejpam-6556	602	11	,	,	PUNCT
ejpam-6556	602	12	we	we	PRON
ejpam-6556	602	13	have	have	VERB
ejpam-6556	602	14	the	the	DET
ejpam-6556	602	15	desired	desire	VERB
ejpam-6556	602	16	result	result	NOUN
ejpam-6556	602	17	.	.	PUNCT
ejpam-6556	603	1	remark	remark	PROPN
ejpam-6556	603	2	8	8	NUM
ejpam-6556	603	3	.	.	PUNCT
ejpam-6556	604	1	considering	consider	VERB
ejpam-6556	604	2	theorem	theorem	NOUN
ejpam-6556	604	3	12	12	NUM
ejpam-6556	604	4	,	,	PUNCT
ejpam-6556	604	5	we	we	PRON
ejpam-6556	604	6	establish	establish	VERB
ejpam-6556	604	7	the	the	DET
ejpam-6556	604	8	following	follow	VERB
ejpam-6556	604	9	new	new	ADJ
ejpam-6556	604	10	mathematical	mathematical	ADJ
ejpam-6556	604	11	approach	approach	NOUN
ejpam-6556	604	12	of	of	ADP
ejpam-6556	604	13	hermite	hermite	PROPN
ejpam-6556	604	14	-	-	PUNCT
ejpam-6556	604	15	hadamard	hadamard	ADJ
ejpam-6556	604	16	inequality	inequality	NOUN
ejpam-6556	604	17	pertaining	pertain	VERB
ejpam-6556	604	18	to	to	ADP
ejpam-6556	604	19	the	the	DET
ejpam-6556	604	20	classical	classical	ADJ
ejpam-6556	604	21	mittag	mittag	ADJ
ejpam-6556	604	22	-	-	PUNCT
ejpam-6556	604	23	leffler	leffler	NOUN
ejpam-6556	604	24	function	function	NOUN
ejpam-6556	604	25	via	via	ADP
ejpam-6556	604	26	abfio	abfio	PROPN
ejpam-6556	604	27	if	if	SCONJ
ejpam-6556	604	28	we	we	PRON
ejpam-6556	604	29	pick	pick	VERB
ejpam-6556	604	30	ϱ	ϱ	ADP
ejpam-6556	604	31	=	=	SYM
ejpam-6556	604	32	(	(	PUNCT
ejpam-6556	604	33	1	1	NUM
ejpam-6556	604	34	,	,	PUNCT
ejpam-6556	604	35	1	1	NUM
ejpam-6556	604	36	,	,	PUNCT
ejpam-6556	604	37	.	.	PUNCT
ejpam-6556	604	38	.	.	PUNCT
ejpam-6556	604	39	.	.	PUNCT
ejpam-6556	604	40	)	)	PUNCT
ejpam-6556	605	1	with	with	ADP
ejpam-6556	605	2	ϵ	ϵ	PROPN
ejpam-6556	605	3	=	=	SYM
ejpam-6556	605	4	α	α	PROPN
ejpam-6556	605	5	and	and	CCONJ
ejpam-6556	605	6	σ	σ	NUM
ejpam-6556	605	7	=	=	PROPN
ejpam-6556	605	8	1:∣∣∣∣	1:∣∣∣∣	NUM
ejpam-6556	605	9	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	605	10	)	)	PUNCT
ejpam-6556	605	11	[	[	X
ejpam-6556	605	12	eα(lb	eα(lb	X
ejpam-6556	605	13	−	−	X
ejpam-6556	605	14	la	la	NOUN
ejpam-6556	605	15	)	)	PUNCT
ejpam-6556	605	16	]	]	PUNCT
ejpam-6556	606	1	γ+1	γ+1	PROPN
ejpam-6556	606	2	[	[	PUNCT
ejpam-6556	606	3	ab	ab	X
ejpam-6556	606	4	la	la	PROPN
ejpam-6556	606	5	iγ	iγ	PROPN
ejpam-6556	606	6	{	{	PUNCT
ejpam-6556	606	7	λ	λ	X
ejpam-6556	606	8	(	(	PUNCT
ejpam-6556	606	9	la	la	PROPN
ejpam-6556	606	10	+	+	CCONJ
ejpam-6556	606	11	eα(lb	eα(lb	PROPN
ejpam-6556	606	12	−	−	PROPN
ejpam-6556	606	13	la))}+	la))}+	PROPN
ejpam-6556	606	14	abiγla+ω(lb	abiγla+ω(lb	PROPN
ejpam-6556	606	15	,	,	PUNCT
ejpam-6556	606	16	la	la	NOUN
ejpam-6556	606	17	)	)	PUNCT
ejpam-6556	606	18	{	{	PUNCT
ejpam-6556	606	19	λ	λ	X
ejpam-6556	606	20	(	(	PUNCT
ejpam-6556	606	21	la	la	NOUN
ejpam-6556	606	22	)	)	PUNCT
ejpam-6556	606	23	}	}	PUNCT
ejpam-6556	606	24	]	]	PUNCT
ejpam-6556	606	25	−	−	PROPN
ejpam-6556	606	26	(	(	PUNCT
ejpam-6556	606	27	[	[	X
ejpam-6556	606	28	eα(lb	eα(lb	X
ejpam-6556	606	29	−	−	NOUN
ejpam-6556	606	30	la	la	NOUN
ejpam-6556	606	31	)	)	PUNCT
ejpam-6556	606	32	]	]	PUNCT
ejpam-6556	606	33	γ	γ	X
ejpam-6556	606	34	+	+	X
ejpam-6556	606	35	(	(	PUNCT
ejpam-6556	606	36	1−	1−	NUM
ejpam-6556	606	37	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	606	38	)	)	PUNCT
ejpam-6556	607	1	[	[	X
ejpam-6556	607	2	eα(lb	eα(lb	X
ejpam-6556	607	3	−	−	X
ejpam-6556	607	4	la	la	NOUN
ejpam-6556	607	5	)	)	PUNCT
ejpam-6556	607	6	]	]	PUNCT
ejpam-6556	608	1	γ+1	γ+1	X
ejpam-6556	608	2	)	)	PUNCT
ejpam-6556	608	3	[	[	PUNCT
ejpam-6556	608	4	λ	λ	X
ejpam-6556	608	5	(	(	PUNCT
ejpam-6556	608	6	la	la	ADJ
ejpam-6556	608	7	)	)	PUNCT
ejpam-6556	609	1	+	+	NUM
ejpam-6556	609	2	λ	λ	X
ejpam-6556	609	3	(	(	PUNCT
ejpam-6556	609	4	la	la	PROPN
ejpam-6556	609	5	+	+	PROPN
ejpam-6556	609	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	609	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	609	8	−	−	PROPN
ejpam-6556	609	9	la	la	PROPN
ejpam-6556	609	10	)	)	PUNCT
ejpam-6556	609	11	)	)	PUNCT
ejpam-6556	609	12	]	]	PUNCT
ejpam-6556	609	13	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6556	609	14	≤	≤	ADV
ejpam-6556	609	15	2	2	NUM
ejpam-6556	609	16	p(γp+	p(γp+	NOUN
ejpam-6556	609	17	1	1	NUM
ejpam-6556	609	18	)	)	PUNCT
ejpam-6556	609	19	+	+	CCONJ
ejpam-6556	609	20	|λ′	|λ′	VERB
ejpam-6556	609	21	(	(	PUNCT
ejpam-6556	609	22	la)|q	la)|q	VERB
ejpam-6556	609	23	+	+	CCONJ
ejpam-6556	609	24	|λ′	|λ′	VERB
ejpam-6556	609	25	(	(	PUNCT
ejpam-6556	609	26	lb)|q	lb)|q	INTJ
ejpam-6556	609	27	q	q	ADJ
ejpam-6556	609	28	,	,	PUNCT
ejpam-6556	609	29	corollary	corollary	ADJ
ejpam-6556	609	30	4	4	NUM
ejpam-6556	609	31	.	.	PUNCT
ejpam-6556	610	1	in	in	ADP
ejpam-6556	610	2	the	the	DET
ejpam-6556	610	3	above	above	ADJ
ejpam-6556	610	4	theorem	theorem	NOUN
ejpam-6556	610	5	12	12	NUM
ejpam-6556	610	6	,	,	PUNCT
ejpam-6556	610	7	if	if	SCONJ
ejpam-6556	610	8	we	we	PRON
ejpam-6556	610	9	choose	choose	VERB
ejpam-6556	610	10	∆ϱ	∆ϱ	PROPN
ejpam-6556	610	11	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	610	12	−	−	PROPN
ejpam-6556	610	13	la	la	PROPN
ejpam-6556	610	14	)	)	PUNCT
ejpam-6556	610	15	=	=	SYM
ejpam-6556	611	1	lb	lb	DET
ejpam-6556	611	2	−	−	PROPN
ejpam-6556	611	3	la	la	PROPN
ejpam-6556	611	4	,	,	PUNCT
ejpam-6556	611	5	we	we	PRON
ejpam-6556	611	6	obtain∣∣∣∣	obtain∣∣∣∣	ADJ
ejpam-6556	611	7	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	611	8	)	)	PUNCT
ejpam-6556	611	9	(	(	PUNCT
ejpam-6556	611	10	lb	lb	DET
ejpam-6556	611	11	−	−	PROPN
ejpam-6556	611	12	la	la	PROPN
ejpam-6556	611	13	)	)	PUNCT
ejpam-6556	611	14	γ+1	γ+1	PROPN
ejpam-6556	612	1	[	[	PUNCT
ejpam-6556	612	2	ab	ab	X
ejpam-6556	612	3	la	la	PROPN
ejpam-6556	612	4	iγ	iγ	PROPN
ejpam-6556	612	5	{	{	PUNCT
ejpam-6556	612	6	λ	λ	X
ejpam-6556	612	7	(	(	PUNCT
ejpam-6556	612	8	lb)}+	lb)}+	ADJ
ejpam-6556	612	9	abiγlb	abiγlb	NOUN
ejpam-6556	612	10	{	{	PUNCT
ejpam-6556	612	11	λ	λ	X
ejpam-6556	612	12	(	(	PUNCT
ejpam-6556	612	13	la	la	NOUN
ejpam-6556	612	14	)	)	PUNCT
ejpam-6556	612	15	}	}	PUNCT
ejpam-6556	612	16	]	]	PUNCT
ejpam-6556	612	17	−	−	PROPN
ejpam-6556	612	18	(	(	PUNCT
ejpam-6556	612	19	(	(	PUNCT
ejpam-6556	612	20	lb	lb	X
ejpam-6556	612	21	−	−	PROPN
ejpam-6556	612	22	la	la	PROPN
ejpam-6556	612	23	)	)	PUNCT
ejpam-6556	612	24	γ	γ	PROPN
ejpam-6556	612	25	+	+	X
ejpam-6556	612	26	(	(	PUNCT
ejpam-6556	612	27	1−	1−	NUM
ejpam-6556	612	28	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	612	29	)	)	PUNCT
ejpam-6556	612	30	(	(	PUNCT
ejpam-6556	612	31	lb	lb	X
ejpam-6556	612	32	−	−	PROPN
ejpam-6556	612	33	la	la	PROPN
ejpam-6556	612	34	)	)	PUNCT
ejpam-6556	612	35	γ+1	γ+1	NUM
ejpam-6556	612	36	)	)	PUNCT
ejpam-6556	613	1	[	[	X
ejpam-6556	613	2	λ	λ	X
ejpam-6556	613	3	(	(	PUNCT
ejpam-6556	613	4	la	la	ADJ
ejpam-6556	613	5	)	)	PUNCT
ejpam-6556	614	1	+	+	NUM
ejpam-6556	614	2	λ	λ	X
ejpam-6556	614	3	(	(	PUNCT
ejpam-6556	614	4	lb	lb	NOUN
ejpam-6556	614	5	)	)	PUNCT
ejpam-6556	614	6	]	]	PUNCT
ejpam-6556	614	7	∣∣∣∣	∣∣∣∣	NOUN
ejpam-6556	614	8	≤	≤	NOUN
ejpam-6556	614	9	2	2	NUM
ejpam-6556	614	10	p(γp+	p(γp+	NOUN
ejpam-6556	614	11	1	1	NUM
ejpam-6556	614	12	)	)	PUNCT
ejpam-6556	614	13	+	+	CCONJ
ejpam-6556	614	14	|λ′	|λ′	VERB
ejpam-6556	614	15	(	(	PUNCT
ejpam-6556	614	16	la)|q	la)|q	VERB
ejpam-6556	614	17	+	+	CCONJ
ejpam-6556	614	18	|λ′	|λ′	VERB
ejpam-6556	614	19	(	(	PUNCT
ejpam-6556	614	20	lb)|q	lb)|q	INTJ
ejpam-6556	614	21	q	q	NOUN
ejpam-6556	614	22	.	.	PUNCT
ejpam-6556	615	1	6	6	X
ejpam-6556	615	2	.	.	X
ejpam-6556	615	3	pachpatte	pachpatte	NOUN
ejpam-6556	615	4	-	-	PUNCT
ejpam-6556	615	5	type	type	NOUN
ejpam-6556	615	6	inequality	inequality	NOUN
ejpam-6556	615	7	via	via	ADP
ejpam-6556	615	8	ab	ab	PROPN
ejpam-6556	615	9	fractional	fractional	ADJ
ejpam-6556	615	10	integral	integral	ADJ
ejpam-6556	615	11	operator	operator	NOUN
ejpam-6556	615	12	in	in	ADP
ejpam-6556	615	13	this	this	DET
ejpam-6556	615	14	section	section	NOUN
ejpam-6556	615	15	,	,	PUNCT
ejpam-6556	615	16	we	we	PRON
ejpam-6556	615	17	study	study	VERB
ejpam-6556	615	18	and	and	CCONJ
ejpam-6556	615	19	explore	explore	VERB
ejpam-6556	615	20	the	the	DET
ejpam-6556	615	21	pachpatte	pachpatte	NOUN
ejpam-6556	615	22	-	-	PUNCT
ejpam-6556	615	23	type	type	NOUN
ejpam-6556	615	24	inequality	inequality	NOUN
ejpam-6556	615	25	via	via	ADP
ejpam-6556	615	26	abfio	abfio	PROPN
ejpam-6556	615	27	.	.	PUNCT
ejpam-6556	616	1	we	we	PRON
ejpam-6556	616	2	enhance	enhance	VERB
ejpam-6556	616	3	this	this	DET
ejpam-6556	616	4	section	section	NOUN
ejpam-6556	616	5	’s	’s	PART
ejpam-6556	616	6	utility	utility	NOUN
ejpam-6556	616	7	through	through	ADP
ejpam-6556	616	8	the	the	DET
ejpam-6556	616	9	notes	note	NOUN
ejpam-6556	616	10	that	that	PRON
ejpam-6556	616	11	are	be	AUX
ejpam-6556	616	12	provided	provide	VERB
ejpam-6556	616	13	.	.	PUNCT
ejpam-6556	617	1	m.	m.	NOUN
ejpam-6556	617	2	tariq	tariq	PROPN
ejpam-6556	617	3	et	et	PROPN
ejpam-6556	617	4	al	al	PROPN
ejpam-6556	617	5	.	.	PUNCT
ejpam-6556	617	6	/	/	SYM
ejpam-6556	617	7	eur	eur	PROPN
ejpam-6556	617	8	.	.	PUNCT
ejpam-6556	618	1	j.	j.	PROPN
ejpam-6556	618	2	pure	pure	PROPN
ejpam-6556	618	3	appl	appl	PROPN
ejpam-6556	618	4	.	.	PROPN
ejpam-6556	618	5	math	math	PROPN
ejpam-6556	618	6	,	,	PUNCT
ejpam-6556	618	7	18	18	NUM
ejpam-6556	618	8	(	(	PUNCT
ejpam-6556	618	9	3	3	NUM
ejpam-6556	618	10	)	)	PUNCT
ejpam-6556	618	11	(	(	PUNCT
ejpam-6556	618	12	2025	2025	NUM
ejpam-6556	618	13	)	)	PUNCT
ejpam-6556	618	14	,	,	PUNCT
ejpam-6556	618	15	6556	6556	NUM
ejpam-6556	618	16	20	20	NUM
ejpam-6556	618	17	of	of	ADP
ejpam-6556	618	18	28	28	NUM
ejpam-6556	618	19	theorem	theorem	NOUN
ejpam-6556	618	20	13	13	NUM
ejpam-6556	618	21	.	.	PUNCT
ejpam-6556	619	1	let	let	VERB
ejpam-6556	619	2	i	i	PRON
ejpam-6556	619	3	⊆	⊆	NUM
ejpam-6556	619	4	r	r	NOUN
ejpam-6556	619	5	be	be	VERB
ejpam-6556	619	6	an	an	DET
ejpam-6556	619	7	open	open	ADJ
ejpam-6556	619	8	and	and	CCONJ
ejpam-6556	619	9	non	non	ADJ
ejpam-6556	619	10	-	-	ADJ
ejpam-6556	619	11	empty	empty	ADJ
ejpam-6556	619	12	convex	convex	NOUN
ejpam-6556	619	13	set	set	NOUN
ejpam-6556	619	14	and	and	CCONJ
ejpam-6556	619	15	la	la	NOUN
ejpam-6556	619	16	,	,	PUNCT
ejpam-6556	619	17	lb	lb	PRON
ejpam-6556	619	18	∈	∈	NOUN
ejpam-6556	619	19	i	i	X
ejpam-6556	619	20	with	with	ADP
ejpam-6556	619	21	la	la	X
ejpam-6556	619	22	<	<	X
ejpam-6556	619	23	la	la	PROPN
ejpam-6556	619	24	+	+	PROPN
ejpam-6556	619	25	∆ϱ	∆ϱ	PROPN
ejpam-6556	619	26	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	619	27	−	−	PROPN
ejpam-6556	619	28	la	la	PROPN
ejpam-6556	619	29	)	)	PUNCT
ejpam-6556	619	30	.	.	PUNCT
ejpam-6556	620	1	if	if	SCONJ
ejpam-6556	620	2	λ1,λ2	λ1,λ2	PROPN
ejpam-6556	620	3	:	:	PUNCT
ejpam-6556	621	1	[	[	X
ejpam-6556	621	2	la	la	X
ejpam-6556	621	3	,	,	PUNCT
ejpam-6556	621	4	la	la	PROPN
ejpam-6556	621	5	+	+	PROPN
ejpam-6556	621	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	621	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	621	8	−	−	PROPN
ejpam-6556	621	9	la	la	PROPN
ejpam-6556	621	10	)	)	PUNCT
ejpam-6556	621	11	]	]	PUNCT
ejpam-6556	621	12	→	→	PUNCT
ejpam-6556	621	13	r	r	NOUN
ejpam-6556	621	14	are	be	AUX
ejpam-6556	621	15	gcf	gcf	PROPN
ejpam-6556	621	16	,	,	PUNCT
ejpam-6556	621	17	λ1,λ2	λ1,λ2	PROPN
ejpam-6556	621	18	∈	∈	PROPN
ejpam-6556	621	19	l	l	NOUN
ejpam-6556	622	1	[	[	X
ejpam-6556	622	2	la	la	X
ejpam-6556	622	3	,	,	PUNCT
ejpam-6556	622	4	la	la	PROPN
ejpam-6556	622	5	+	+	PROPN
ejpam-6556	622	6	∆ϱ	∆ϱ	PROPN
ejpam-6556	622	7	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	622	8	−	−	PROPN
ejpam-6556	622	9	la	la	PROPN
ejpam-6556	622	10	)	)	PUNCT
ejpam-6556	622	11	]	]	PUNCT
ejpam-6556	622	12	,	,	PUNCT
ejpam-6556	622	13	then	then	ADV
ejpam-6556	622	14	the	the	DET
ejpam-6556	622	15	following	follow	VERB
ejpam-6556	622	16	inequality	inequality	NOUN
ejpam-6556	622	17	for	for	ADP
ejpam-6556	622	18	abfio	abfio	NOUN
ejpam-6556	622	19	holds	hold	VERB
ejpam-6556	622	20	1	1	NUM
ejpam-6556	622	21	[	[	X
ejpam-6556	622	22	∆ϱ	∆ϱ	PROPN
ejpam-6556	622	23	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	622	24	−	−	PROPN
ejpam-6556	622	25	la	la	PROPN
ejpam-6556	622	26	)	)	PUNCT
ejpam-6556	622	27	]	]	PUNCT
ejpam-6556	623	1	γ	γ	PROPN
ejpam-6556	623	2	[	[	PUNCT
ejpam-6556	623	3	ab	ab	X
ejpam-6556	623	4	la	la	PROPN
ejpam-6556	623	5	iγ	iγ	PROPN
ejpam-6556	623	6	{	{	PUNCT
ejpam-6556	623	7	λ1λ2	λ1λ2	X
ejpam-6556	623	8	(	(	PUNCT
ejpam-6556	623	9	la	la	X
ejpam-6556	623	10	+	+	PROPN
ejpam-6556	623	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	623	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	623	13	−	−	PROPN
ejpam-6556	623	14	la	la	PROPN
ejpam-6556	623	15	)	)	PUNCT
ejpam-6556	623	16	)	)	PUNCT
ejpam-6556	623	17	}	}	PUNCT
ejpam-6556	624	1	+	+	NUM
ejpam-6556	624	2	abiγ	abiγ	NOUN
ejpam-6556	624	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	624	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	624	5	)	)	PUNCT
ejpam-6556	624	6	{	{	PUNCT
ejpam-6556	625	1	λ1λ2	λ1λ2	X
ejpam-6556	625	2	(	(	PUNCT
ejpam-6556	625	3	la	la	NOUN
ejpam-6556	625	4	)	)	PUNCT
ejpam-6556	625	5	}	}	PUNCT
ejpam-6556	625	6	]	]	PUNCT
ejpam-6556	625	7	≤	≤	NUM
ejpam-6556	625	8	γ	γ	X
ejpam-6556	625	9	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	625	10	)	)	PUNCT
ejpam-6556	625	11	[	[	PUNCT
ejpam-6556	625	12	[	[	X
ejpam-6556	625	13	λ1	λ1	ADJ
ejpam-6556	625	14	(	(	PUNCT
ejpam-6556	625	15	la	la	ADJ
ejpam-6556	625	16	)	)	PUNCT
ejpam-6556	625	17	λ2	λ2	PROPN
ejpam-6556	625	18	(	(	PUNCT
ejpam-6556	625	19	la	la	NOUN
ejpam-6556	625	20	)	)	PUNCT
ejpam-6556	625	21	+	+	CCONJ
ejpam-6556	625	22	λ1	λ1	ADJ
ejpam-6556	625	23	(	(	PUNCT
ejpam-6556	625	24	lb	lb	NOUN
ejpam-6556	625	25	)	)	PUNCT
ejpam-6556	625	26	λ2	λ2	NOUN
ejpam-6556	625	27	(	(	PUNCT
ejpam-6556	625	28	lb	lb	NOUN
ejpam-6556	625	29	)	)	PUNCT
ejpam-6556	625	30	]	]	PUNCT
ejpam-6556	626	1	(	(	PUNCT
ejpam-6556	626	2	2	2	NUM
ejpam-6556	626	3	γ(γ	γ(γ	PROPN
ejpam-6556	626	4	+	+	CCONJ
ejpam-6556	626	5	1)(γ	1)(γ	NUM
ejpam-6556	626	6	+	+	CCONJ
ejpam-6556	626	7	2	2	NUM
ejpam-6556	626	8	)	)	PUNCT
ejpam-6556	626	9	+	+	CCONJ
ejpam-6556	626	10	1	1	NUM
ejpam-6556	626	11	γ	γ	NOUN
ejpam-6556	626	12	+	+	NOUN
ejpam-6556	626	13	2	2	NUM
ejpam-6556	626	14	)	)	PUNCT
ejpam-6556	626	15	+2	+2	PROPN
ejpam-6556	627	1	[	[	X
ejpam-6556	627	2	λ1	λ1	X
ejpam-6556	627	3	(	(	PUNCT
ejpam-6556	627	4	la	la	ADJ
ejpam-6556	627	5	)	)	PUNCT
ejpam-6556	627	6	λ2	λ2	NOUN
ejpam-6556	627	7	(	(	PUNCT
ejpam-6556	627	8	lb	lb	NOUN
ejpam-6556	627	9	)	)	PUNCT
ejpam-6556	627	10	+	+	NOUN
ejpam-6556	627	11	λ1	λ1	ADJ
ejpam-6556	627	12	(	(	PUNCT
ejpam-6556	627	13	lb	lb	NOUN
ejpam-6556	627	14	)	)	PUNCT
ejpam-6556	627	15	λ2	λ2	NOUN
ejpam-6556	627	16	(	(	PUNCT
ejpam-6556	627	17	la	la	NOUN
ejpam-6556	627	18	)	)	PUNCT
ejpam-6556	627	19	]	]	PUNCT
ejpam-6556	628	1	(	(	PUNCT
ejpam-6556	628	2	γ	γ	X
ejpam-6556	628	3	+	+	X
ejpam-6556	628	4	1)(γ	1)(γ	NUM
ejpam-6556	628	5	+	+	CCONJ
ejpam-6556	628	6	2	2	NUM
ejpam-6556	628	7	)	)	PUNCT
ejpam-6556	628	8	]	]	PUNCT
ejpam-6556	629	1	+	+	CCONJ
ejpam-6556	629	2	(	(	PUNCT
ejpam-6556	629	3	1−	1−	NUM
ejpam-6556	629	4	γ	γ	X
ejpam-6556	629	5	)	)	PUNCT
ejpam-6556	629	6	b(γ	b(γ	PROPN
ejpam-6556	629	7	)	)	PUNCT
ejpam-6556	630	1	[	[	X
ejpam-6556	630	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	630	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	630	4	−	−	PROPN
ejpam-6556	630	5	la	la	PROPN
ejpam-6556	630	6	)	)	PUNCT
ejpam-6556	630	7	]	]	PUNCT
ejpam-6556	630	8	γ	γ	X
ejpam-6556	630	9	[	[	PUNCT
ejpam-6556	630	10	λ1	λ1	PROPN
ejpam-6556	630	11	(	(	PUNCT
ejpam-6556	630	12	la	la	ADJ
ejpam-6556	630	13	)	)	PUNCT
ejpam-6556	630	14	λ2	λ2	PROPN
ejpam-6556	630	15	(	(	PUNCT
ejpam-6556	630	16	la	la	NOUN
ejpam-6556	630	17	)	)	PUNCT
ejpam-6556	630	18	+	+	NOUN
ejpam-6556	630	19	λ1	λ1	ADJ
ejpam-6556	630	20	(	(	PUNCT
ejpam-6556	630	21	la	la	PROPN
ejpam-6556	630	22	+	+	PROPN
ejpam-6556	630	23	∆ϱ	∆ϱ	PROPN
ejpam-6556	630	24	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	630	25	−	−	PROPN
ejpam-6556	630	26	la	la	PROPN
ejpam-6556	630	27	)	)	PUNCT
ejpam-6556	630	28	)	)	PUNCT
ejpam-6556	631	1	λ2	λ2	NOUN
ejpam-6556	631	2	(	(	PUNCT
ejpam-6556	631	3	la	la	X
ejpam-6556	631	4	+	+	PROPN
ejpam-6556	631	5	∆ϱ	∆ϱ	PROPN
ejpam-6556	631	6	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	631	7	−	−	PROPN
ejpam-6556	631	8	la	la	PROPN
ejpam-6556	631	9	)	)	PUNCT
ejpam-6556	631	10	)	)	PUNCT
ejpam-6556	631	11	]	]	PUNCT
ejpam-6556	631	12	,	,	PUNCT
ejpam-6556	631	13	where	where	SCONJ
ejpam-6556	631	14	γ	γ	X
ejpam-6556	631	15	∈	∈	PROPN
ejpam-6556	631	16	(	(	PUNCT
ejpam-6556	631	17	0	0	NUM
ejpam-6556	631	18	,	,	PUNCT
ejpam-6556	631	19	1	1	NUM
ejpam-6556	631	20	]	]	PUNCT
ejpam-6556	631	21	.	.	PUNCT
ejpam-6556	632	1	proof	proof	NOUN
ejpam-6556	632	2	.	.	PUNCT
ejpam-6556	633	1	since	since	SCONJ
ejpam-6556	633	2	λ1	λ1	PROPN
ejpam-6556	633	3	and	and	CCONJ
ejpam-6556	633	4	λ2	λ2	NOUN
ejpam-6556	633	5	are	be	AUX
ejpam-6556	633	6	gcf	gcf	PROPN
ejpam-6556	633	7	on	on	ADP
ejpam-6556	633	8	[	[	X
ejpam-6556	633	9	la	la	X
ejpam-6556	633	10	,	,	PUNCT
ejpam-6556	633	11	la	la	PROPN
ejpam-6556	633	12	+	+	PROPN
ejpam-6556	633	13	∆ϱ	∆ϱ	PROPN
ejpam-6556	633	14	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	633	15	−	−	PROPN
ejpam-6556	633	16	la	la	PROPN
ejpam-6556	633	17	)	)	PUNCT
ejpam-6556	633	18	]	]	PUNCT
ejpam-6556	633	19	,	,	PUNCT
ejpam-6556	633	20	we	we	PRON
ejpam-6556	633	21	get	get	VERB
ejpam-6556	633	22	λ1	λ1	ADJ
ejpam-6556	633	23	(	(	PUNCT
ejpam-6556	633	24	la	la	X
ejpam-6556	633	25	+	+	X
ejpam-6556	633	26	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	633	27	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	633	28	−	−	PROPN
ejpam-6556	633	29	la	la	NOUN
ejpam-6556	633	30	)	)	PUNCT
ejpam-6556	633	31	)	)	PUNCT
ejpam-6556	634	1	≤	≤	NOUN
ejpam-6556	635	1	(	(	PUNCT
ejpam-6556	635	2	1−	1−	NUM
ejpam-6556	635	3	x)λ1	x)λ1	PROPN
ejpam-6556	635	4	(	(	PUNCT
ejpam-6556	635	5	la	la	NOUN
ejpam-6556	635	6	)	)	PUNCT
ejpam-6556	635	7	+	+	CCONJ
ejpam-6556	635	8	xλ1	xλ1	PROPN
ejpam-6556	635	9	(	(	PUNCT
ejpam-6556	635	10	lb	lb	NOUN
ejpam-6556	635	11	)	)	PUNCT
ejpam-6556	635	12	(	(	PUNCT
ejpam-6556	635	13	6.1	6.1	NUM
ejpam-6556	635	14	)	)	PUNCT
ejpam-6556	635	15	and	and	CCONJ
ejpam-6556	635	16	λ2	λ2	NOUN
ejpam-6556	635	17	(	(	PUNCT
ejpam-6556	635	18	la	la	X
ejpam-6556	635	19	+	+	X
ejpam-6556	635	20	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	635	21	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	635	22	−	−	PROPN
ejpam-6556	635	23	la	la	NOUN
ejpam-6556	635	24	)	)	PUNCT
ejpam-6556	635	25	)	)	PUNCT
ejpam-6556	636	1	≤	≤	NOUN
ejpam-6556	636	2	(	(	PUNCT
ejpam-6556	636	3	1−	1−	NUM
ejpam-6556	636	4	x)λ2	x)λ2	PROPN
ejpam-6556	636	5	(	(	PUNCT
ejpam-6556	636	6	la	la	PROPN
ejpam-6556	636	7	)	)	PUNCT
ejpam-6556	636	8	+	+	CCONJ
ejpam-6556	636	9	xλ2	xλ2	NOUN
ejpam-6556	636	10	(	(	PUNCT
ejpam-6556	636	11	lb	lb	NOUN
ejpam-6556	636	12	)	)	PUNCT
ejpam-6556	636	13	.	.	PUNCT
ejpam-6556	637	1	(	(	PUNCT
ejpam-6556	637	2	6.2	6.2	NUM
ejpam-6556	637	3	)	)	PUNCT
ejpam-6556	637	4	by	by	ADP
ejpam-6556	637	5	multiplying	multiply	VERB
ejpam-6556	637	6	both	both	DET
ejpam-6556	637	7	inequalities	inequality	NOUN
ejpam-6556	637	8	6.1	6.1	NUM
ejpam-6556	637	9	and	and	CCONJ
ejpam-6556	637	10	6.2	6.2	NUM
ejpam-6556	637	11	side	side	NOUN
ejpam-6556	637	12	by	by	ADP
ejpam-6556	637	13	side	side	NOUN
ejpam-6556	637	14	,	,	PUNCT
ejpam-6556	637	15	we	we	PRON
ejpam-6556	637	16	get	get	VERB
ejpam-6556	637	17	λ1	λ1	ADJ
ejpam-6556	637	18	(	(	PUNCT
ejpam-6556	637	19	la	la	X
ejpam-6556	637	20	+	+	X
ejpam-6556	637	21	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	637	22	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	637	23	−	−	PROPN
ejpam-6556	637	24	la	la	PROPN
ejpam-6556	637	25	)	)	PUNCT
ejpam-6556	637	26	)	)	PUNCT
ejpam-6556	638	1	λ2	λ2	NOUN
ejpam-6556	638	2	(	(	PUNCT
ejpam-6556	638	3	la	la	X
ejpam-6556	638	4	+	+	X
ejpam-6556	638	5	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	638	6	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	638	7	−	−	PROPN
ejpam-6556	638	8	la	la	NOUN
ejpam-6556	638	9	)	)	PUNCT
ejpam-6556	638	10	)	)	PUNCT
ejpam-6556	638	11	≤	≤	NOUN
ejpam-6556	638	12	(	(	PUNCT
ejpam-6556	638	13	1−	1−	NUM
ejpam-6556	638	14	x)2λ1	x)2λ1	NUM
ejpam-6556	638	15	(	(	PUNCT
ejpam-6556	638	16	la	la	ADJ
ejpam-6556	638	17	)	)	PUNCT
ejpam-6556	638	18	λ2	λ2	PROPN
ejpam-6556	638	19	(	(	PUNCT
ejpam-6556	638	20	la	la	NOUN
ejpam-6556	638	21	)	)	PUNCT
ejpam-6556	639	1	+	+	CCONJ
ejpam-6556	639	2	x2λ1	x2λ1	NUM
ejpam-6556	639	3	(	(	PUNCT
ejpam-6556	639	4	lb	lb	X
ejpam-6556	639	5	)	)	PUNCT
ejpam-6556	639	6	λ2	λ2	NOUN
ejpam-6556	639	7	(	(	PUNCT
ejpam-6556	639	8	lb	lb	NOUN
ejpam-6556	639	9	)	)	PUNCT
ejpam-6556	639	10	+	+	NOUN
ejpam-6556	639	11	x(1−	x(1−	PROPN
ejpam-6556	639	12	x	x	X
ejpam-6556	639	13	)	)	PUNCT
ejpam-6556	640	1	[	[	X
ejpam-6556	640	2	λ1	λ1	X
ejpam-6556	640	3	(	(	PUNCT
ejpam-6556	640	4	la	la	ADJ
ejpam-6556	640	5	)	)	PUNCT
ejpam-6556	640	6	λ2	λ2	NOUN
ejpam-6556	640	7	(	(	PUNCT
ejpam-6556	640	8	lb	lb	NOUN
ejpam-6556	640	9	)	)	PUNCT
ejpam-6556	640	10	+	+	NOUN
ejpam-6556	640	11	λ1	λ1	ADJ
ejpam-6556	640	12	(	(	PUNCT
ejpam-6556	640	13	lb	lb	NOUN
ejpam-6556	640	14	)	)	PUNCT
ejpam-6556	640	15	λ2	λ2	NOUN
ejpam-6556	640	16	(	(	PUNCT
ejpam-6556	640	17	la	la	NOUN
ejpam-6556	640	18	)	)	PUNCT
ejpam-6556	640	19	]	]	PUNCT
ejpam-6556	640	20	.	.	PUNCT
ejpam-6556	641	1	(	(	PUNCT
ejpam-6556	641	2	6.3	6.3	NUM
ejpam-6556	641	3	)	)	PUNCT
ejpam-6556	641	4	by	by	ADP
ejpam-6556	641	5	multiplying	multiply	VERB
ejpam-6556	641	6	both	both	DET
ejpam-6556	641	7	sides	side	NOUN
ejpam-6556	641	8	of	of	ADP
ejpam-6556	641	9	(	(	PUNCT
ejpam-6556	641	10	6.3	6.3	NUM
ejpam-6556	641	11	)	)	PUNCT
ejpam-6556	641	12	with	with	ADP
ejpam-6556	641	13	(	(	PUNCT
ejpam-6556	641	14	1	1	NUM
ejpam-6556	641	15	−	−	NOUN
ejpam-6556	641	16	x)γ−1	x)γ−1	PUNCT
ejpam-6556	641	17	and	and	CCONJ
ejpam-6556	641	18	integrating	integrate	VERB
ejpam-6556	641	19	the	the	DET
ejpam-6556	641	20	resulting	result	VERB
ejpam-6556	641	21	inequality	inequality	NOUN
ejpam-6556	641	22	w.r.t	w.r.t	VERB
ejpam-6556	641	23	.	.	PUNCT
ejpam-6556	642	1	x	x	PUNCT
ejpam-6556	642	2	over	over	ADP
ejpam-6556	642	3	[	[	X
ejpam-6556	642	4	0	0	NUM
ejpam-6556	642	5	,	,	PUNCT
ejpam-6556	642	6	1	1	NUM
ejpam-6556	642	7	]	]	PUNCT
ejpam-6556	642	8	,	,	PUNCT
ejpam-6556	642	9	we	we	PRON
ejpam-6556	642	10	obtain∫	obtain∫	VERB
ejpam-6556	642	11	1	1	NUM
ejpam-6556	642	12	0	0	NUM
ejpam-6556	642	13	(	(	PUNCT
ejpam-6556	642	14	1−	1−	NUM
ejpam-6556	642	15	x)γ−1λ1	x)γ−1λ1	PROPN
ejpam-6556	642	16	(	(	PUNCT
ejpam-6556	642	17	la	la	X
ejpam-6556	642	18	+	+	X
ejpam-6556	642	19	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	642	20	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	642	21	−	−	PROPN
ejpam-6556	642	22	la	la	PROPN
ejpam-6556	642	23	)	)	PUNCT
ejpam-6556	642	24	)	)	PUNCT
ejpam-6556	643	1	λ2	λ2	NOUN
ejpam-6556	643	2	(	(	PUNCT
ejpam-6556	643	3	la	la	X
ejpam-6556	643	4	+	+	X
ejpam-6556	643	5	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	643	6	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	643	7	−	−	PROPN
ejpam-6556	643	8	la	la	PROPN
ejpam-6556	643	9	)	)	PUNCT
ejpam-6556	643	10	)	)	PUNCT
ejpam-6556	644	1	dx	dx	PROPN
ejpam-6556	645	1	≤	≤	NUM
ejpam-6556	645	2	∫	∫	PROPN
ejpam-6556	645	3	1	1	NUM
ejpam-6556	645	4	0	0	NUM
ejpam-6556	645	5	(	(	PUNCT
ejpam-6556	645	6	1−	1−	NUM
ejpam-6556	645	7	x)γ−1	x)γ−1	X
ejpam-6556	646	1	[	[	PUNCT
ejpam-6556	646	2	(	(	PUNCT
ejpam-6556	646	3	1−	1−	NUM
ejpam-6556	646	4	x)2λ1	x)2λ1	NUM
ejpam-6556	646	5	(	(	PUNCT
ejpam-6556	646	6	la	la	ADJ
ejpam-6556	646	7	)	)	PUNCT
ejpam-6556	646	8	λ2	λ2	PROPN
ejpam-6556	646	9	(	(	PUNCT
ejpam-6556	646	10	la	la	NOUN
ejpam-6556	646	11	)	)	PUNCT
ejpam-6556	646	12	+	+	CCONJ
ejpam-6556	646	13	x2λ1	x2λ1	NUM
ejpam-6556	646	14	(	(	PUNCT
ejpam-6556	646	15	lb	lb	X
ejpam-6556	646	16	)	)	PUNCT
ejpam-6556	646	17	λ2	λ2	NOUN
ejpam-6556	646	18	(	(	PUNCT
ejpam-6556	646	19	lb	lb	NOUN
ejpam-6556	646	20	)	)	PUNCT
ejpam-6556	647	1	+	+	NOUN
ejpam-6556	647	2	x(1−	x(1−	PROPN
ejpam-6556	647	3	x	x	X
ejpam-6556	647	4	)	)	PUNCT
ejpam-6556	648	1	[	[	X
ejpam-6556	648	2	λ1	λ1	X
ejpam-6556	648	3	(	(	PUNCT
ejpam-6556	648	4	la	la	ADJ
ejpam-6556	648	5	)	)	PUNCT
ejpam-6556	648	6	λ2	λ2	NOUN
ejpam-6556	648	7	(	(	PUNCT
ejpam-6556	648	8	lb	lb	NOUN
ejpam-6556	648	9	)	)	PUNCT
ejpam-6556	648	10	+	+	NOUN
ejpam-6556	648	11	λ1	λ1	ADJ
ejpam-6556	648	12	(	(	PUNCT
ejpam-6556	648	13	lb	lb	NOUN
ejpam-6556	648	14	)	)	PUNCT
ejpam-6556	648	15	λ2	λ2	NOUN
ejpam-6556	648	16	(	(	PUNCT
ejpam-6556	648	17	la	la	PROPN
ejpam-6556	648	18	)	)	PUNCT
ejpam-6556	648	19	]	]	PUNCT
ejpam-6556	648	20	]	]	X
ejpam-6556	648	21	dx	dx	PROPN
ejpam-6556	648	22	=	=	SYM
ejpam-6556	648	23	λ1	λ1	PROPN
ejpam-6556	648	24	(	(	PUNCT
ejpam-6556	648	25	la	la	ADJ
ejpam-6556	648	26	)	)	PUNCT
ejpam-6556	648	27	λ2	λ2	NOUN
ejpam-6556	648	28	(	(	PUNCT
ejpam-6556	648	29	la	la	NOUN
ejpam-6556	648	30	)	)	PUNCT
ejpam-6556	648	31	γ	γ	NOUN
ejpam-6556	648	32	+	+	NOUN
ejpam-6556	648	33	2	2	NUM
ejpam-6556	648	34	+	+	SYM
ejpam-6556	648	35	2	2	NUM
ejpam-6556	648	36	λ1	λ1	ADJ
ejpam-6556	648	37	(	(	PUNCT
ejpam-6556	648	38	lb	lb	NOUN
ejpam-6556	648	39	)	)	PUNCT
ejpam-6556	648	40	λ2	λ2	NOUN
ejpam-6556	648	41	(	(	PUNCT
ejpam-6556	648	42	lb	lb	NOUN
ejpam-6556	648	43	)	)	PUNCT
ejpam-6556	648	44	γ(γ	γ(γ	PROPN
ejpam-6556	648	45	+	+	CCONJ
ejpam-6556	648	46	1)(γ	1)(γ	NUM
ejpam-6556	648	47	+	+	CCONJ
ejpam-6556	648	48	2	2	NUM
ejpam-6556	648	49	)	)	PUNCT
ejpam-6556	648	50	+	+	CCONJ
ejpam-6556	649	1	[	[	X
ejpam-6556	649	2	λ1	λ1	ADJ
ejpam-6556	649	3	(	(	PUNCT
ejpam-6556	649	4	la	la	ADJ
ejpam-6556	649	5	)	)	PUNCT
ejpam-6556	649	6	λ2	λ2	NOUN
ejpam-6556	649	7	(	(	PUNCT
ejpam-6556	649	8	lb	lb	NOUN
ejpam-6556	649	9	)	)	PUNCT
ejpam-6556	649	10	+	+	NOUN
ejpam-6556	649	11	λ1	λ1	ADJ
ejpam-6556	649	12	(	(	PUNCT
ejpam-6556	649	13	lb	lb	NOUN
ejpam-6556	649	14	)	)	PUNCT
ejpam-6556	649	15	λ2	λ2	NOUN
ejpam-6556	649	16	(	(	PUNCT
ejpam-6556	649	17	la	la	NOUN
ejpam-6556	649	18	)	)	PUNCT
ejpam-6556	649	19	]	]	PUNCT
ejpam-6556	650	1	(	(	PUNCT
ejpam-6556	650	2	γ	γ	X
ejpam-6556	650	3	+	+	X
ejpam-6556	650	4	1)(γ	1)(γ	NUM
ejpam-6556	650	5	+	+	CCONJ
ejpam-6556	650	6	2	2	NUM
ejpam-6556	650	7	)	)	PUNCT
ejpam-6556	650	8	.	.	PUNCT
ejpam-6556	651	1	by	by	ADP
ejpam-6556	651	2	changing	change	VERB
ejpam-6556	651	3	the	the	DET
ejpam-6556	651	4	variable	variable	ADJ
ejpam-6556	651	5	la+	la+	NOUN
ejpam-6556	651	6	x∆ϱ	x∆ϱ	PROPN
ejpam-6556	651	7	ϵ,σ(lb−	ϵ,σ(lb−	PROPN
ejpam-6556	651	8	la	la	PROPN
ejpam-6556	651	9	)	)	PUNCT
ejpam-6556	652	1	=	=	SYM
ejpam-6556	653	1	x	x	X
ejpam-6556	653	2	,	,	PUNCT
ejpam-6556	653	3	we	we	PRON
ejpam-6556	653	4	can	can	AUX
ejpam-6556	653	5	write	write	VERB
ejpam-6556	653	6	the	the	DET
ejpam-6556	653	7	inequality	inequality	NOUN
ejpam-6556	653	8	in	in	ADP
ejpam-6556	653	9	(	(	PUNCT
ejpam-6556	653	10	6.4	6.4	NUM
ejpam-6556	653	11	)	)	PUNCT
ejpam-6556	653	12	as	as	ADP
ejpam-6556	653	13	1	1	NUM
ejpam-6556	653	14	[	[	X
ejpam-6556	653	15	∆ϱ	∆ϱ	PROPN
ejpam-6556	653	16	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	653	17	−	−	PROPN
ejpam-6556	653	18	la	la	PROPN
ejpam-6556	653	19	)	)	PUNCT
ejpam-6556	653	20	]	]	PUNCT
ejpam-6556	654	1	γ	γ	PROPN
ejpam-6556	654	2	∫	∫	PROPN
ejpam-6556	654	3	la+∆ϱ	la+∆ϱ	PROPN
ejpam-6556	654	4	ϵ,σ(lb−la	ϵ,σ(lb−la	PROPN
ejpam-6556	654	5	)	)	PUNCT
ejpam-6556	654	6	la	la	NOUN
ejpam-6556	654	7	(	(	PUNCT
ejpam-6556	654	8	la	la	X
ejpam-6556	654	9	+	+	PROPN
ejpam-6556	654	10	∆ϱ	∆ϱ	PROPN
ejpam-6556	654	11	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	654	12	−	−	NOUN
ejpam-6556	654	13	la)−	la)−	NOUN
ejpam-6556	654	14	x	x	X
ejpam-6556	654	15	)	)	PUNCT
ejpam-6556	654	16	γ−1	γ−1	PROPN
ejpam-6556	654	17	λ1(x)λ2(x)dx	λ1(x)λ2(x)dx	PROPN
ejpam-6556	654	18	m.	m.	NOUN
ejpam-6556	654	19	tariq	tariq	NOUN
ejpam-6556	654	20	et	et	PROPN
ejpam-6556	654	21	al	al	PROPN
ejpam-6556	654	22	.	.	PUNCT
ejpam-6556	654	23	/	/	SYM
ejpam-6556	654	24	eur	eur	PROPN
ejpam-6556	654	25	.	.	PUNCT
ejpam-6556	655	1	j.	j.	PROPN
ejpam-6556	655	2	pure	pure	PROPN
ejpam-6556	655	3	appl	appl	PROPN
ejpam-6556	655	4	.	.	PROPN
ejpam-6556	655	5	math	math	PROPN
ejpam-6556	655	6	,	,	PUNCT
ejpam-6556	655	7	18	18	NUM
ejpam-6556	655	8	(	(	PUNCT
ejpam-6556	655	9	3	3	NUM
ejpam-6556	655	10	)	)	PUNCT
ejpam-6556	655	11	(	(	PUNCT
ejpam-6556	655	12	2025	2025	NUM
ejpam-6556	655	13	)	)	PUNCT
ejpam-6556	655	14	,	,	PUNCT
ejpam-6556	655	15	6556	6556	NUM
ejpam-6556	655	16	21	21	NUM
ejpam-6556	655	17	of	of	ADP
ejpam-6556	655	18	28	28	NUM
ejpam-6556	655	19	≤	≤	NUM
ejpam-6556	655	20	λ1	λ1	PROPN
ejpam-6556	655	21	(	(	PUNCT
ejpam-6556	655	22	la	la	ADJ
ejpam-6556	655	23	)	)	PUNCT
ejpam-6556	655	24	λ2	λ2	NOUN
ejpam-6556	655	25	(	(	PUNCT
ejpam-6556	655	26	la	la	NOUN
ejpam-6556	655	27	)	)	PUNCT
ejpam-6556	655	28	γ	γ	NOUN
ejpam-6556	655	29	+	+	NOUN
ejpam-6556	655	30	2	2	NUM
ejpam-6556	655	31	+	+	SYM
ejpam-6556	655	32	2	2	NUM
ejpam-6556	655	33	λ1	λ1	ADJ
ejpam-6556	655	34	(	(	PUNCT
ejpam-6556	655	35	lb	lb	NOUN
ejpam-6556	655	36	)	)	PUNCT
ejpam-6556	655	37	λ2	λ2	NOUN
ejpam-6556	655	38	(	(	PUNCT
ejpam-6556	655	39	lb	lb	NOUN
ejpam-6556	655	40	)	)	PUNCT
ejpam-6556	655	41	γ(γ	γ(γ	PROPN
ejpam-6556	656	1	+	+	CCONJ
ejpam-6556	656	2	1)(γ	1)(γ	NUM
ejpam-6556	656	3	+	+	CCONJ
ejpam-6556	656	4	2	2	NUM
ejpam-6556	656	5	)	)	PUNCT
ejpam-6556	656	6	+	+	CCONJ
ejpam-6556	657	1	[	[	X
ejpam-6556	657	2	λ1	λ1	ADJ
ejpam-6556	657	3	(	(	PUNCT
ejpam-6556	657	4	la	la	ADJ
ejpam-6556	657	5	)	)	PUNCT
ejpam-6556	657	6	λ2	λ2	NOUN
ejpam-6556	657	7	(	(	PUNCT
ejpam-6556	657	8	lb	lb	NOUN
ejpam-6556	657	9	)	)	PUNCT
ejpam-6556	657	10	+	+	NOUN
ejpam-6556	657	11	λ1	λ1	ADJ
ejpam-6556	657	12	(	(	PUNCT
ejpam-6556	657	13	lb	lb	NOUN
ejpam-6556	657	14	)	)	PUNCT
ejpam-6556	657	15	λ2	λ2	NOUN
ejpam-6556	657	16	(	(	PUNCT
ejpam-6556	657	17	la	la	NOUN
ejpam-6556	657	18	)	)	PUNCT
ejpam-6556	657	19	]	]	PUNCT
ejpam-6556	658	1	(	(	PUNCT
ejpam-6556	658	2	γ	γ	X
ejpam-6556	658	3	+	+	X
ejpam-6556	658	4	1)(γ	1)(γ	NUM
ejpam-6556	658	5	+	+	CCONJ
ejpam-6556	658	6	2	2	NUM
ejpam-6556	658	7	)	)	PUNCT
ejpam-6556	658	8	.	.	PUNCT
ejpam-6556	659	1	(	(	PUNCT
ejpam-6556	659	2	6.4	6.4	NUM
ejpam-6556	659	3	)	)	PUNCT
ejpam-6556	659	4	by	by	ADP
ejpam-6556	659	5	multiplying	multiply	VERB
ejpam-6556	659	6	the	the	DET
ejpam-6556	659	7	both	both	DET
ejpam-6556	659	8	sides	side	NOUN
ejpam-6556	659	9	of	of	ADP
ejpam-6556	659	10	(	(	PUNCT
ejpam-6556	659	11	6.4	6.4	NUM
ejpam-6556	659	12	)	)	PUNCT
ejpam-6556	659	13	by	by	ADP
ejpam-6556	659	14	γ	γ	NOUN
ejpam-6556	659	15	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	659	16	)	)	PUNCT
ejpam-6556	659	17	and	and	CCONJ
ejpam-6556	659	18	then	then	ADV
ejpam-6556	659	19	adding	add	VERB
ejpam-6556	659	20	the	the	DET
ejpam-6556	659	21	term	term	NOUN
ejpam-6556	659	22	(	(	PUNCT
ejpam-6556	659	23	1−γ	1−γ	NUM
ejpam-6556	659	24	)	)	PUNCT
ejpam-6556	659	25	b(γ)[∆ϱ	b(γ)[∆ϱ	ADJ
ejpam-6556	659	26	ϵ,σ(lb−la	ϵ,σ(lb−la	NUM
ejpam-6556	659	27	)	)	PUNCT
ejpam-6556	659	28	]	]	PUNCT
ejpam-6556	659	29	γλ1	γλ1	PROPN
ejpam-6556	659	30	(	(	PUNCT
ejpam-6556	659	31	la	la	X
ejpam-6556	659	32	+	+	PROPN
ejpam-6556	659	33	∆ϱ	∆ϱ	PROPN
ejpam-6556	659	34	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	659	35	−	−	PROPN
ejpam-6556	659	36	la	la	NOUN
ejpam-6556	659	37	)	)	PUNCT
ejpam-6556	659	38	)	)	PUNCT
ejpam-6556	659	39	λ2	λ2	NOUN
ejpam-6556	659	40	(	(	PUNCT
ejpam-6556	659	41	la	la	X
ejpam-6556	659	42	+	+	PROPN
ejpam-6556	659	43	∆ϱ	∆ϱ	PROPN
ejpam-6556	659	44	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	659	45	−	−	PROPN
ejpam-6556	659	46	la	la	PROPN
ejpam-6556	659	47	)	)	PUNCT
ejpam-6556	659	48	)	)	PUNCT
ejpam-6556	659	49	to	to	ADP
ejpam-6556	659	50	both	both	DET
ejpam-6556	659	51	sides	side	NOUN
ejpam-6556	659	52	of	of	ADP
ejpam-6556	659	53	(	(	PUNCT
ejpam-6556	659	54	6.4	6.4	NUM
ejpam-6556	659	55	)	)	PUNCT
ejpam-6556	659	56	and	and	CCONJ
ejpam-6556	659	57	finally	finally	ADV
ejpam-6556	659	58	using	use	VERB
ejpam-6556	659	59	abfio	abfio	PROPN
ejpam-6556	659	60	,	,	PUNCT
ejpam-6556	659	61	we	we	PRON
ejpam-6556	659	62	get	get	VERB
ejpam-6556	659	63	1	1	NUM
ejpam-6556	659	64	[	[	X
ejpam-6556	659	65	∆ϱ	∆ϱ	PROPN
ejpam-6556	659	66	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	659	67	−	−	PROPN
ejpam-6556	659	68	la	la	PROPN
ejpam-6556	659	69	)	)	PUNCT
ejpam-6556	659	70	]	]	PUNCT
ejpam-6556	660	1	γ	γ	PROPN
ejpam-6556	660	2	[	[	PUNCT
ejpam-6556	660	3	ab	ab	X
ejpam-6556	660	4	la	la	PROPN
ejpam-6556	660	5	iγ	iγ	PROPN
ejpam-6556	660	6	{	{	PUNCT
ejpam-6556	660	7	λ1λ2	λ1λ2	X
ejpam-6556	660	8	(	(	PUNCT
ejpam-6556	660	9	la	la	X
ejpam-6556	660	10	+	+	PROPN
ejpam-6556	660	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	660	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	660	13	−	−	PROPN
ejpam-6556	660	14	la	la	PROPN
ejpam-6556	660	15	)	)	PUNCT
ejpam-6556	660	16	)	)	PUNCT
ejpam-6556	660	17	}	}	PUNCT
ejpam-6556	660	18	]	]	PUNCT
ejpam-6556	660	19	≤	≤	NUM
ejpam-6556	660	20	γ	γ	X
ejpam-6556	660	21	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	660	22	)	)	PUNCT
ejpam-6556	660	23	[	[	PUNCT
ejpam-6556	660	24	λ1	λ1	PROPN
ejpam-6556	660	25	(	(	PUNCT
ejpam-6556	660	26	la	la	ADJ
ejpam-6556	660	27	)	)	PUNCT
ejpam-6556	660	28	λ2	λ2	NOUN
ejpam-6556	660	29	(	(	PUNCT
ejpam-6556	660	30	la	la	NOUN
ejpam-6556	660	31	)	)	PUNCT
ejpam-6556	660	32	γ	γ	NOUN
ejpam-6556	660	33	+	+	NOUN
ejpam-6556	660	34	2	2	NUM
ejpam-6556	660	35	+	+	SYM
ejpam-6556	660	36	2	2	NUM
ejpam-6556	660	37	λ1	λ1	ADJ
ejpam-6556	660	38	(	(	PUNCT
ejpam-6556	660	39	lb	lb	NOUN
ejpam-6556	660	40	)	)	PUNCT
ejpam-6556	660	41	λ2	λ2	NOUN
ejpam-6556	660	42	(	(	PUNCT
ejpam-6556	660	43	lb	lb	NOUN
ejpam-6556	660	44	)	)	PUNCT
ejpam-6556	660	45	γ(γ	γ(γ	PROPN
ejpam-6556	660	46	+	+	CCONJ
ejpam-6556	661	1	1)(γ	1)(γ	NUM
ejpam-6556	661	2	+	+	CCONJ
ejpam-6556	661	3	2	2	NUM
ejpam-6556	661	4	)	)	PUNCT
ejpam-6556	661	5	+	+	CCONJ
ejpam-6556	662	1	[	[	X
ejpam-6556	662	2	λ1	λ1	ADJ
ejpam-6556	662	3	(	(	PUNCT
ejpam-6556	662	4	la	la	ADJ
ejpam-6556	662	5	)	)	PUNCT
ejpam-6556	662	6	λ2	λ2	NOUN
ejpam-6556	662	7	(	(	PUNCT
ejpam-6556	662	8	lb	lb	NOUN
ejpam-6556	662	9	)	)	PUNCT
ejpam-6556	662	10	+	+	NOUN
ejpam-6556	662	11	λ1	λ1	ADJ
ejpam-6556	662	12	(	(	PUNCT
ejpam-6556	662	13	lb	lb	NOUN
ejpam-6556	662	14	)	)	PUNCT
ejpam-6556	662	15	λ2	λ2	NOUN
ejpam-6556	662	16	(	(	PUNCT
ejpam-6556	662	17	la	la	NOUN
ejpam-6556	662	18	)	)	PUNCT
ejpam-6556	662	19	]	]	PUNCT
ejpam-6556	663	1	(	(	PUNCT
ejpam-6556	663	2	γ	γ	X
ejpam-6556	663	3	+	+	X
ejpam-6556	663	4	1)(γ	1)(γ	NUM
ejpam-6556	663	5	+	+	CCONJ
ejpam-6556	663	6	2	2	NUM
ejpam-6556	663	7	)	)	PUNCT
ejpam-6556	663	8	]	]	PUNCT
ejpam-6556	664	1	+	+	CCONJ
ejpam-6556	664	2	(	(	PUNCT
ejpam-6556	664	3	1−	1−	NUM
ejpam-6556	664	4	γ	γ	X
ejpam-6556	664	5	)	)	PUNCT
ejpam-6556	664	6	b(γ	b(γ	PROPN
ejpam-6556	664	7	)	)	PUNCT
ejpam-6556	665	1	[	[	X
ejpam-6556	665	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	665	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	665	4	−	−	PROPN
ejpam-6556	665	5	la	la	PROPN
ejpam-6556	665	6	)	)	PUNCT
ejpam-6556	665	7	]	]	PUNCT
ejpam-6556	665	8	γλ1	γλ1	PROPN
ejpam-6556	665	9	(	(	PUNCT
ejpam-6556	665	10	la	la	PROPN
ejpam-6556	665	11	+	+	PROPN
ejpam-6556	665	12	∆ϱ	∆ϱ	PROPN
ejpam-6556	665	13	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	665	14	−	−	PROPN
ejpam-6556	665	15	la	la	PROPN
ejpam-6556	665	16	)	)	PUNCT
ejpam-6556	665	17	)	)	PUNCT
ejpam-6556	666	1	λ2	λ2	NOUN
ejpam-6556	666	2	(	(	PUNCT
ejpam-6556	666	3	la	la	X
ejpam-6556	666	4	+	+	PROPN
ejpam-6556	666	5	∆ϱ	∆ϱ	PROPN
ejpam-6556	666	6	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	666	7	−	−	PROPN
ejpam-6556	666	8	la	la	PROPN
ejpam-6556	666	9	)	)	PUNCT
ejpam-6556	666	10	)	)	PUNCT
ejpam-6556	666	11	.	.	PUNCT
ejpam-6556	667	1	(	(	PUNCT
ejpam-6556	667	2	6.5	6.5	NUM
ejpam-6556	667	3	)	)	PUNCT
ejpam-6556	667	4	similarly	similarly	ADV
ejpam-6556	667	5	,	,	PUNCT
ejpam-6556	667	6	by	by	ADP
ejpam-6556	667	7	multiplying	multiply	VERB
ejpam-6556	667	8	both	both	DET
ejpam-6556	667	9	sides	side	NOUN
ejpam-6556	667	10	of	of	ADP
ejpam-6556	667	11	(	(	PUNCT
ejpam-6556	667	12	6.3	6.3	NUM
ejpam-6556	667	13	)	)	PUNCT
ejpam-6556	667	14	with	with	ADP
ejpam-6556	667	15	xγ−1	xγ−1	PROPN
ejpam-6556	667	16	and	and	CCONJ
ejpam-6556	667	17	integrating	integrate	VERB
ejpam-6556	667	18	the	the	DET
ejpam-6556	667	19	resulting	result	VERB
ejpam-6556	667	20	inequality	inequality	NOUN
ejpam-6556	667	21	w.r.t	w.r.t	VERB
ejpam-6556	667	22	.	.	PUNCT
ejpam-6556	668	1	x	x	PUNCT
ejpam-6556	668	2	over	over	ADP
ejpam-6556	668	3	[	[	X
ejpam-6556	668	4	0	0	NUM
ejpam-6556	668	5	,	,	PUNCT
ejpam-6556	668	6	1	1	NUM
ejpam-6556	668	7	]	]	PUNCT
ejpam-6556	668	8	,	,	PUNCT
ejpam-6556	668	9	we	we	PRON
ejpam-6556	668	10	obtain∫	obtain∫	VERB
ejpam-6556	668	11	1	1	NUM
ejpam-6556	668	12	0	0	NUM
ejpam-6556	668	13	xγ−1λ1	xγ−1λ1	NOUN
ejpam-6556	669	1	(	(	PUNCT
ejpam-6556	669	2	la	la	X
ejpam-6556	669	3	+	+	NUM
ejpam-6556	669	4	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	669	5	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	669	6	−	−	PROPN
ejpam-6556	669	7	la	la	PROPN
ejpam-6556	669	8	)	)	PUNCT
ejpam-6556	669	9	)	)	PUNCT
ejpam-6556	670	1	λ2	λ2	NOUN
ejpam-6556	670	2	(	(	PUNCT
ejpam-6556	670	3	la	la	X
ejpam-6556	670	4	+	+	X
ejpam-6556	670	5	x∆ϱ	x∆ϱ	ADJ
ejpam-6556	670	6	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	670	7	−	−	PROPN
ejpam-6556	670	8	la	la	PROPN
ejpam-6556	670	9	)	)	PUNCT
ejpam-6556	670	10	)	)	PUNCT
ejpam-6556	671	1	dx	dx	PROPN
ejpam-6556	672	1	≤	≤	NUM
ejpam-6556	672	2	∫	∫	PROPN
ejpam-6556	672	3	1	1	NUM
ejpam-6556	672	4	0	0	NUM
ejpam-6556	672	5	xγ−1	xγ−1	PROPN
ejpam-6556	673	1	[	[	PUNCT
ejpam-6556	673	2	(	(	PUNCT
ejpam-6556	673	3	1−	1−	NUM
ejpam-6556	673	4	x)2λ1	x)2λ1	NUM
ejpam-6556	673	5	(	(	PUNCT
ejpam-6556	673	6	la	la	ADJ
ejpam-6556	673	7	)	)	PUNCT
ejpam-6556	673	8	λ2	λ2	PROPN
ejpam-6556	673	9	(	(	PUNCT
ejpam-6556	673	10	la	la	NOUN
ejpam-6556	673	11	)	)	PUNCT
ejpam-6556	673	12	+	+	CCONJ
ejpam-6556	673	13	x2λ1	x2λ1	NUM
ejpam-6556	673	14	(	(	PUNCT
ejpam-6556	673	15	lb	lb	X
ejpam-6556	673	16	)	)	PUNCT
ejpam-6556	673	17	λ2	λ2	NOUN
ejpam-6556	673	18	(	(	PUNCT
ejpam-6556	673	19	lb	lb	NOUN
ejpam-6556	673	20	)	)	PUNCT
ejpam-6556	673	21	+	+	NOUN
ejpam-6556	673	22	x(1−	x(1−	PROPN
ejpam-6556	673	23	x	x	X
ejpam-6556	673	24	)	)	PUNCT
ejpam-6556	674	1	[	[	X
ejpam-6556	674	2	λ1	λ1	X
ejpam-6556	674	3	(	(	PUNCT
ejpam-6556	674	4	la	la	ADJ
ejpam-6556	674	5	)	)	PUNCT
ejpam-6556	674	6	λ2	λ2	NOUN
ejpam-6556	674	7	(	(	PUNCT
ejpam-6556	674	8	lb	lb	NOUN
ejpam-6556	674	9	)	)	PUNCT
ejpam-6556	674	10	+	+	NOUN
ejpam-6556	674	11	λ1	λ1	ADJ
ejpam-6556	674	12	(	(	PUNCT
ejpam-6556	674	13	lb	lb	NOUN
ejpam-6556	674	14	)	)	PUNCT
ejpam-6556	674	15	λ2	λ2	NOUN
ejpam-6556	674	16	(	(	PUNCT
ejpam-6556	674	17	la	la	PROPN
ejpam-6556	674	18	)	)	PUNCT
ejpam-6556	674	19	]	]	PUNCT
ejpam-6556	674	20	]	]	X
ejpam-6556	674	21	dx	dx	PROPN
ejpam-6556	674	22	=	=	SYM
ejpam-6556	674	23	2	2	NUM
ejpam-6556	674	24	λ1	λ1	ADJ
ejpam-6556	674	25	(	(	PUNCT
ejpam-6556	674	26	la	la	ADJ
ejpam-6556	674	27	)	)	PUNCT
ejpam-6556	674	28	λ2	λ2	PROPN
ejpam-6556	674	29	(	(	PUNCT
ejpam-6556	674	30	la	la	NOUN
ejpam-6556	674	31	)	)	PUNCT
ejpam-6556	674	32	γ(γ	γ(γ	PROPN
ejpam-6556	675	1	+	+	CCONJ
ejpam-6556	676	1	1)(γ	1)(γ	NUM
ejpam-6556	676	2	+	+	CCONJ
ejpam-6556	676	3	2	2	NUM
ejpam-6556	676	4	)	)	PUNCT
ejpam-6556	676	5	+	+	CCONJ
ejpam-6556	676	6	λ1	λ1	ADJ
ejpam-6556	676	7	(	(	PUNCT
ejpam-6556	676	8	lb	lb	NOUN
ejpam-6556	676	9	)	)	PUNCT
ejpam-6556	676	10	λ2	λ2	NOUN
ejpam-6556	676	11	(	(	PUNCT
ejpam-6556	676	12	lb	lb	NOUN
ejpam-6556	676	13	)	)	PUNCT
ejpam-6556	676	14	γ	γ	NOUN
ejpam-6556	676	15	+	+	NOUN
ejpam-6556	676	16	2	2	NUM
ejpam-6556	676	17	+	+	CCONJ
ejpam-6556	676	18	[	[	X
ejpam-6556	676	19	λ1	λ1	ADJ
ejpam-6556	676	20	(	(	PUNCT
ejpam-6556	676	21	la	la	ADJ
ejpam-6556	676	22	)	)	PUNCT
ejpam-6556	676	23	λ2	λ2	NOUN
ejpam-6556	676	24	(	(	PUNCT
ejpam-6556	676	25	lb	lb	NOUN
ejpam-6556	676	26	)	)	PUNCT
ejpam-6556	676	27	+	+	NOUN
ejpam-6556	676	28	λ1	λ1	ADJ
ejpam-6556	676	29	(	(	PUNCT
ejpam-6556	676	30	lb	lb	NOUN
ejpam-6556	676	31	)	)	PUNCT
ejpam-6556	676	32	λ2	λ2	NOUN
ejpam-6556	676	33	(	(	PUNCT
ejpam-6556	676	34	la	la	NOUN
ejpam-6556	676	35	)	)	PUNCT
ejpam-6556	676	36	]	]	PUNCT
ejpam-6556	676	37	(	(	PUNCT
ejpam-6556	676	38	γ	γ	X
ejpam-6556	676	39	+	+	X
ejpam-6556	676	40	1)(γ	1)(γ	NUM
ejpam-6556	676	41	+	+	CCONJ
ejpam-6556	676	42	2	2	NUM
ejpam-6556	676	43	)	)	PUNCT
ejpam-6556	676	44	.	.	PUNCT
ejpam-6556	677	1	by	by	ADP
ejpam-6556	677	2	making	make	VERB
ejpam-6556	677	3	calculations	calculation	NOUN
ejpam-6556	677	4	similar	similar	ADJ
ejpam-6556	677	5	to	to	ADP
ejpam-6556	677	6	those	those	PRON
ejpam-6556	677	7	in	in	ADP
ejpam-6556	677	8	the	the	DET
ejpam-6556	677	9	proof	proof	NOUN
ejpam-6556	677	10	of	of	ADP
ejpam-6556	677	11	(	(	PUNCT
ejpam-6556	677	12	6.5	6.5	NUM
ejpam-6556	677	13	)	)	PUNCT
ejpam-6556	677	14	,	,	PUNCT
ejpam-6556	677	15	we	we	PRON
ejpam-6556	677	16	obtain	obtain	VERB
ejpam-6556	677	17	1	1	NUM
ejpam-6556	677	18	[	[	X
ejpam-6556	677	19	∆ϱ	∆ϱ	PROPN
ejpam-6556	677	20	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	677	21	−	−	PROPN
ejpam-6556	677	22	la	la	PROPN
ejpam-6556	677	23	)	)	PUNCT
ejpam-6556	677	24	]	]	PUNCT
ejpam-6556	678	1	γ	γ	PROPN
ejpam-6556	678	2	[	[	PUNCT
ejpam-6556	678	3	abiγ	abiγ	NOUN
ejpam-6556	678	4	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	678	5	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	678	6	)	)	PUNCT
ejpam-6556	678	7	{	{	PUNCT
ejpam-6556	678	8	λ1λ2	λ1λ2	X
ejpam-6556	678	9	(	(	PUNCT
ejpam-6556	678	10	la	la	NOUN
ejpam-6556	678	11	)	)	PUNCT
ejpam-6556	678	12	}	}	PUNCT
ejpam-6556	678	13	]	]	PUNCT
ejpam-6556	678	14	≤	≤	NUM
ejpam-6556	678	15	γ	γ	X
ejpam-6556	678	16	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	678	17	)	)	PUNCT
ejpam-6556	678	18	[	[	PUNCT
ejpam-6556	678	19	2	2	NUM
ejpam-6556	678	20	λ1	λ1	ADJ
ejpam-6556	678	21	(	(	PUNCT
ejpam-6556	678	22	la	la	ADJ
ejpam-6556	678	23	)	)	PUNCT
ejpam-6556	678	24	λ2	λ2	PROPN
ejpam-6556	678	25	(	(	PUNCT
ejpam-6556	678	26	la	la	NOUN
ejpam-6556	678	27	)	)	PUNCT
ejpam-6556	678	28	γ(γ	γ(γ	PROPN
ejpam-6556	678	29	+	+	CCONJ
ejpam-6556	678	30	1)(γ	1)(γ	NUM
ejpam-6556	678	31	+	+	CCONJ
ejpam-6556	678	32	2	2	NUM
ejpam-6556	678	33	)	)	PUNCT
ejpam-6556	678	34	+	+	CCONJ
ejpam-6556	678	35	2	2	NUM
ejpam-6556	678	36	λ1	λ1	ADJ
ejpam-6556	678	37	(	(	PUNCT
ejpam-6556	678	38	lb	lb	NOUN
ejpam-6556	678	39	)	)	PUNCT
ejpam-6556	678	40	λ2	λ2	NOUN
ejpam-6556	678	41	(	(	PUNCT
ejpam-6556	678	42	lb	lb	NOUN
ejpam-6556	678	43	)	)	PUNCT
ejpam-6556	678	44	γ	γ	NOUN
ejpam-6556	678	45	+	+	NOUN
ejpam-6556	678	46	2	2	NUM
ejpam-6556	678	47	+	+	CCONJ
ejpam-6556	678	48	[	[	X
ejpam-6556	678	49	λ1	λ1	ADJ
ejpam-6556	678	50	(	(	PUNCT
ejpam-6556	678	51	la	la	ADJ
ejpam-6556	678	52	)	)	PUNCT
ejpam-6556	678	53	λ2	λ2	NOUN
ejpam-6556	678	54	(	(	PUNCT
ejpam-6556	678	55	lb	lb	NOUN
ejpam-6556	678	56	)	)	PUNCT
ejpam-6556	678	57	+	+	NOUN
ejpam-6556	678	58	λ1	λ1	ADJ
ejpam-6556	678	59	(	(	PUNCT
ejpam-6556	678	60	lb	lb	NOUN
ejpam-6556	678	61	)	)	PUNCT
ejpam-6556	678	62	λ2	λ2	NOUN
ejpam-6556	678	63	(	(	PUNCT
ejpam-6556	678	64	la	la	NOUN
ejpam-6556	678	65	)	)	PUNCT
ejpam-6556	678	66	]	]	PUNCT
ejpam-6556	678	67	(	(	PUNCT
ejpam-6556	678	68	γ	γ	X
ejpam-6556	678	69	+	+	X
ejpam-6556	678	70	1)(γ	1)(γ	NUM
ejpam-6556	678	71	+	+	CCONJ
ejpam-6556	678	72	2	2	NUM
ejpam-6556	678	73	)	)	PUNCT
ejpam-6556	678	74	]	]	PUNCT
ejpam-6556	679	1	+	+	CCONJ
ejpam-6556	679	2	(	(	PUNCT
ejpam-6556	679	3	1−	1−	NUM
ejpam-6556	679	4	γ	γ	X
ejpam-6556	679	5	)	)	PUNCT
ejpam-6556	679	6	b(γ	b(γ	PROPN
ejpam-6556	679	7	)	)	PUNCT
ejpam-6556	680	1	[	[	X
ejpam-6556	680	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	680	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	680	4	−	−	PROPN
ejpam-6556	680	5	la	la	PROPN
ejpam-6556	680	6	)	)	PUNCT
ejpam-6556	680	7	]	]	PUNCT
ejpam-6556	680	8	γλ1	γλ1	PROPN
ejpam-6556	680	9	(	(	PUNCT
ejpam-6556	680	10	la	la	ADJ
ejpam-6556	680	11	)	)	PUNCT
ejpam-6556	680	12	λ2	λ2	PROPN
ejpam-6556	680	13	(	(	PUNCT
ejpam-6556	680	14	la	la	NOUN
ejpam-6556	680	15	)	)	PUNCT
ejpam-6556	680	16	.	.	PUNCT
ejpam-6556	681	1	(	(	PUNCT
ejpam-6556	681	2	6.6	6.6	NUM
ejpam-6556	681	3	)	)	PUNCT
ejpam-6556	681	4	adding	add	VERB
ejpam-6556	681	5	(	(	PUNCT
ejpam-6556	681	6	6.5	6.5	NUM
ejpam-6556	681	7	)	)	PUNCT
ejpam-6556	681	8	and	and	CCONJ
ejpam-6556	681	9	(	(	PUNCT
ejpam-6556	681	10	6.6	6.6	NUM
ejpam-6556	681	11	)	)	PUNCT
ejpam-6556	681	12	side	side	NOUN
ejpam-6556	681	13	by	by	ADP
ejpam-6556	681	14	side	side	NOUN
ejpam-6556	681	15	,	,	PUNCT
ejpam-6556	681	16	we	we	PRON
ejpam-6556	681	17	get	get	VERB
ejpam-6556	681	18	1	1	NUM
ejpam-6556	681	19	[	[	X
ejpam-6556	681	20	∆ϱ	∆ϱ	PROPN
ejpam-6556	681	21	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	681	22	−	−	PROPN
ejpam-6556	681	23	la	la	PROPN
ejpam-6556	681	24	)	)	PUNCT
ejpam-6556	681	25	]	]	PUNCT
ejpam-6556	682	1	γ	γ	PROPN
ejpam-6556	682	2	[	[	PUNCT
ejpam-6556	682	3	ab	ab	X
ejpam-6556	682	4	la	la	PROPN
ejpam-6556	682	5	iγ	iγ	PROPN
ejpam-6556	682	6	{	{	PUNCT
ejpam-6556	682	7	λ1λ2	λ1λ2	X
ejpam-6556	682	8	(	(	PUNCT
ejpam-6556	682	9	la	la	X
ejpam-6556	682	10	+	+	PROPN
ejpam-6556	682	11	∆ϱ	∆ϱ	PROPN
ejpam-6556	682	12	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	682	13	−	−	PROPN
ejpam-6556	682	14	la	la	PROPN
ejpam-6556	682	15	)	)	PUNCT
ejpam-6556	682	16	)	)	PUNCT
ejpam-6556	682	17	}	}	PUNCT
ejpam-6556	683	1	+	+	NOUN
ejpam-6556	683	2	abiγ	abiγ	NOUN
ejpam-6556	683	3	la+∆ϱ	la+∆ϱ	NOUN
ejpam-6556	683	4	ϵ,σ(lb−la	ϵ,σ(lb−la	NOUN
ejpam-6556	683	5	)	)	PUNCT
ejpam-6556	683	6	{	{	PUNCT
ejpam-6556	683	7	λ1λ2	λ1λ2	X
ejpam-6556	683	8	(	(	PUNCT
ejpam-6556	683	9	la	la	NOUN
ejpam-6556	683	10	)	)	PUNCT
ejpam-6556	683	11	}	}	PUNCT
ejpam-6556	683	12	]	]	PUNCT
ejpam-6556	683	13	≤	≤	NUM
ejpam-6556	683	14	γ	γ	X
ejpam-6556	683	15	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	683	16	)	)	PUNCT
ejpam-6556	683	17	[	[	PUNCT
ejpam-6556	683	18	[	[	X
ejpam-6556	683	19	λ1	λ1	ADJ
ejpam-6556	683	20	(	(	PUNCT
ejpam-6556	683	21	la	la	ADJ
ejpam-6556	683	22	)	)	PUNCT
ejpam-6556	683	23	λ2	λ2	PROPN
ejpam-6556	683	24	(	(	PUNCT
ejpam-6556	683	25	la	la	NOUN
ejpam-6556	683	26	)	)	PUNCT
ejpam-6556	683	27	+	+	CCONJ
ejpam-6556	683	28	λ1	λ1	ADJ
ejpam-6556	683	29	(	(	PUNCT
ejpam-6556	683	30	lb	lb	NOUN
ejpam-6556	683	31	)	)	PUNCT
ejpam-6556	683	32	λ2	λ2	NOUN
ejpam-6556	683	33	(	(	PUNCT
ejpam-6556	683	34	lb	lb	NOUN
ejpam-6556	683	35	)	)	PUNCT
ejpam-6556	683	36	]	]	PUNCT
ejpam-6556	684	1	(	(	PUNCT
ejpam-6556	684	2	2	2	NUM
ejpam-6556	684	3	γ(γ	γ(γ	PROPN
ejpam-6556	684	4	+	+	CCONJ
ejpam-6556	684	5	1)(γ	1)(γ	NUM
ejpam-6556	684	6	+	+	CCONJ
ejpam-6556	684	7	2	2	NUM
ejpam-6556	684	8	)	)	PUNCT
ejpam-6556	684	9	+	+	CCONJ
ejpam-6556	684	10	1	1	NUM
ejpam-6556	684	11	γ	γ	NOUN
ejpam-6556	684	12	+	+	NOUN
ejpam-6556	684	13	2	2	NUM
ejpam-6556	684	14	)	)	PUNCT
ejpam-6556	684	15	+2	+2	PROPN
ejpam-6556	685	1	[	[	X
ejpam-6556	685	2	λ1	λ1	X
ejpam-6556	685	3	(	(	PUNCT
ejpam-6556	685	4	la	la	ADJ
ejpam-6556	685	5	)	)	PUNCT
ejpam-6556	685	6	λ2	λ2	NOUN
ejpam-6556	685	7	(	(	PUNCT
ejpam-6556	685	8	lb	lb	NOUN
ejpam-6556	685	9	)	)	PUNCT
ejpam-6556	685	10	+	+	NOUN
ejpam-6556	685	11	λ1	λ1	ADJ
ejpam-6556	685	12	(	(	PUNCT
ejpam-6556	685	13	lb	lb	NOUN
ejpam-6556	685	14	)	)	PUNCT
ejpam-6556	685	15	λ2	λ2	NOUN
ejpam-6556	685	16	(	(	PUNCT
ejpam-6556	685	17	la	la	NOUN
ejpam-6556	685	18	)	)	PUNCT
ejpam-6556	685	19	]	]	PUNCT
ejpam-6556	686	1	(	(	PUNCT
ejpam-6556	686	2	γ	γ	X
ejpam-6556	686	3	+	+	X
ejpam-6556	686	4	1)(γ	1)(γ	NUM
ejpam-6556	686	5	+	+	CCONJ
ejpam-6556	686	6	2	2	NUM
ejpam-6556	686	7	)	)	PUNCT
ejpam-6556	686	8	]	]	PUNCT
ejpam-6556	686	9	m.	m.	NOUN
ejpam-6556	686	10	tariq	tariq	PROPN
ejpam-6556	686	11	et	et	PROPN
ejpam-6556	686	12	al	al	PROPN
ejpam-6556	686	13	.	.	PUNCT
ejpam-6556	686	14	/	/	SYM
ejpam-6556	686	15	eur	eur	PROPN
ejpam-6556	686	16	.	.	PUNCT
ejpam-6556	687	1	j.	j.	PROPN
ejpam-6556	687	2	pure	pure	PROPN
ejpam-6556	687	3	appl	appl	PROPN
ejpam-6556	687	4	.	.	PROPN
ejpam-6556	687	5	math	math	PROPN
ejpam-6556	687	6	,	,	PUNCT
ejpam-6556	687	7	18	18	NUM
ejpam-6556	687	8	(	(	PUNCT
ejpam-6556	687	9	3	3	NUM
ejpam-6556	687	10	)	)	PUNCT
ejpam-6556	687	11	(	(	PUNCT
ejpam-6556	687	12	2025	2025	NUM
ejpam-6556	687	13	)	)	PUNCT
ejpam-6556	687	14	,	,	PUNCT
ejpam-6556	687	15	6556	6556	NUM
ejpam-6556	687	16	22	22	NUM
ejpam-6556	687	17	of	of	ADP
ejpam-6556	687	18	28	28	NUM
ejpam-6556	687	19	+	+	CCONJ
ejpam-6556	687	20	(	(	PUNCT
ejpam-6556	687	21	1−	1−	NUM
ejpam-6556	687	22	γ	γ	X
ejpam-6556	687	23	)	)	PUNCT
ejpam-6556	687	24	b(γ	b(γ	PROPN
ejpam-6556	687	25	)	)	PUNCT
ejpam-6556	688	1	[	[	X
ejpam-6556	688	2	∆ϱ	∆ϱ	PROPN
ejpam-6556	688	3	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	688	4	−	−	PROPN
ejpam-6556	688	5	la	la	PROPN
ejpam-6556	688	6	)	)	PUNCT
ejpam-6556	688	7	]	]	PUNCT
ejpam-6556	688	8	γ	γ	X
ejpam-6556	688	9	[	[	PUNCT
ejpam-6556	688	10	λ1	λ1	PROPN
ejpam-6556	688	11	(	(	PUNCT
ejpam-6556	688	12	la	la	ADJ
ejpam-6556	688	13	)	)	PUNCT
ejpam-6556	688	14	λ2	λ2	PROPN
ejpam-6556	688	15	(	(	PUNCT
ejpam-6556	688	16	la	la	NOUN
ejpam-6556	688	17	)	)	PUNCT
ejpam-6556	688	18	+	+	NOUN
ejpam-6556	688	19	λ1	λ1	ADJ
ejpam-6556	688	20	(	(	PUNCT
ejpam-6556	688	21	la	la	PROPN
ejpam-6556	688	22	+	+	PROPN
ejpam-6556	688	23	∆ϱ	∆ϱ	PROPN
ejpam-6556	688	24	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	688	25	−	−	PROPN
ejpam-6556	688	26	la	la	PROPN
ejpam-6556	688	27	)	)	PUNCT
ejpam-6556	688	28	)	)	PUNCT
ejpam-6556	689	1	λ2	λ2	NOUN
ejpam-6556	689	2	(	(	PUNCT
ejpam-6556	689	3	la	la	X
ejpam-6556	689	4	+	+	PROPN
ejpam-6556	689	5	∆ϱ	∆ϱ	PROPN
ejpam-6556	689	6	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	689	7	−	−	PROPN
ejpam-6556	689	8	la	la	PROPN
ejpam-6556	689	9	)	)	PUNCT
ejpam-6556	689	10	)	)	PUNCT
ejpam-6556	689	11	]	]	PUNCT
ejpam-6556	689	12	.	.	PUNCT
ejpam-6556	690	1	the	the	DET
ejpam-6556	690	2	proof	proof	NOUN
ejpam-6556	690	3	is	be	AUX
ejpam-6556	690	4	completed	complete	VERB
ejpam-6556	690	5	.	.	PUNCT
ejpam-6556	691	1	remark	remark	NOUN
ejpam-6556	691	2	9	9	NUM
ejpam-6556	691	3	.	.	PUNCT
ejpam-6556	692	1	considering	consider	VERB
ejpam-6556	692	2	theorem	theorem	NOUN
ejpam-6556	692	3	13	13	NUM
ejpam-6556	692	4	,	,	PUNCT
ejpam-6556	692	5	we	we	PRON
ejpam-6556	692	6	establish	establish	VERB
ejpam-6556	692	7	the	the	DET
ejpam-6556	692	8	following	follow	VERB
ejpam-6556	692	9	new	new	ADJ
ejpam-6556	692	10	mathematical	mathematical	ADJ
ejpam-6556	692	11	approach	approach	NOUN
ejpam-6556	692	12	of	of	ADP
ejpam-6556	692	13	pachpatte	pachpatte	NOUN
ejpam-6556	692	14	-	-	PUNCT
ejpam-6556	692	15	type	type	NOUN
ejpam-6556	692	16	inequality	inequality	NOUN
ejpam-6556	692	17	pertaining	pertain	VERB
ejpam-6556	692	18	to	to	ADP
ejpam-6556	692	19	the	the	DET
ejpam-6556	692	20	classical	classical	ADJ
ejpam-6556	692	21	mittag	mittag	ADJ
ejpam-6556	692	22	-	-	PUNCT
ejpam-6556	692	23	leffler	leffler	NOUN
ejpam-6556	692	24	function	function	NOUN
ejpam-6556	692	25	via	via	ADP
ejpam-6556	692	26	abfio	abfio	PROPN
ejpam-6556	692	27	if	if	SCONJ
ejpam-6556	692	28	we	we	PRON
ejpam-6556	692	29	pick	pick	VERB
ejpam-6556	692	30	ϱ	ϱ	ADP
ejpam-6556	692	31	=	=	SYM
ejpam-6556	692	32	(	(	PUNCT
ejpam-6556	692	33	1	1	NUM
ejpam-6556	692	34	,	,	PUNCT
ejpam-6556	692	35	1	1	NUM
ejpam-6556	692	36	,	,	PUNCT
ejpam-6556	692	37	...	...	PUNCT
ejpam-6556	692	38	)	)	PUNCT
ejpam-6556	692	39	with	with	ADP
ejpam-6556	692	40	ϵ	ϵ	PROPN
ejpam-6556	692	41	=	=	SYM
ejpam-6556	692	42	α	α	PROPN
ejpam-6556	692	43	and	and	CCONJ
ejpam-6556	692	44	σ	σ	NOUN
ejpam-6556	692	45	=	=	SYM
ejpam-6556	692	46	1	1	NUM
ejpam-6556	692	47	:	:	SYM
ejpam-6556	692	48	1	1	NUM
ejpam-6556	693	1	[	[	X
ejpam-6556	693	2	ω	ω	X
ejpam-6556	693	3	(	(	PUNCT
ejpam-6556	693	4	lb	lb	NOUN
ejpam-6556	693	5	,	,	PUNCT
ejpam-6556	693	6	la	la	NOUN
ejpam-6556	693	7	,	,	PUNCT
ejpam-6556	693	8	)	)	PUNCT
ejpam-6556	693	9	]	]	PUNCT
ejpam-6556	694	1	γ	γ	PROPN
ejpam-6556	694	2	[	[	PUNCT
ejpam-6556	694	3	ab	ab	X
ejpam-6556	694	4	la	la	PROPN
ejpam-6556	694	5	iγ	iγ	PROPN
ejpam-6556	694	6	{	{	PUNCT
ejpam-6556	694	7	λ1λ2	λ1λ2	X
ejpam-6556	694	8	(	(	PUNCT
ejpam-6556	694	9	la	la	X
ejpam-6556	694	10	+	+	CCONJ
ejpam-6556	694	11	eα(lb	eα(lb	ADJ
ejpam-6556	694	12	−	−	PROPN
ejpam-6556	694	13	la))}+	la))}+	NOUN
ejpam-6556	694	14	abiγla+eα(lb−la	abiγla+eα(lb−la	NOUN
ejpam-6556	694	15	)	)	PUNCT
ejpam-6556	694	16	{	{	PUNCT
ejpam-6556	694	17	λ1λ2	λ1λ2	X
ejpam-6556	694	18	(	(	PUNCT
ejpam-6556	694	19	la	la	NOUN
ejpam-6556	694	20	)	)	PUNCT
ejpam-6556	694	21	}	}	PUNCT
ejpam-6556	694	22	]	]	PUNCT
ejpam-6556	694	23	≤	≤	NUM
ejpam-6556	694	24	γ	γ	X
ejpam-6556	694	25	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	694	26	)	)	PUNCT
ejpam-6556	694	27	[	[	PUNCT
ejpam-6556	694	28	[	[	X
ejpam-6556	694	29	λ1	λ1	ADJ
ejpam-6556	694	30	(	(	PUNCT
ejpam-6556	694	31	la	la	ADJ
ejpam-6556	694	32	)	)	PUNCT
ejpam-6556	694	33	λ2	λ2	PROPN
ejpam-6556	694	34	(	(	PUNCT
ejpam-6556	694	35	la	la	NOUN
ejpam-6556	694	36	)	)	PUNCT
ejpam-6556	694	37	+	+	CCONJ
ejpam-6556	694	38	λ1	λ1	ADJ
ejpam-6556	694	39	(	(	PUNCT
ejpam-6556	694	40	lb	lb	NOUN
ejpam-6556	694	41	)	)	PUNCT
ejpam-6556	694	42	λ2	λ2	NOUN
ejpam-6556	694	43	(	(	PUNCT
ejpam-6556	694	44	lb	lb	NOUN
ejpam-6556	694	45	)	)	PUNCT
ejpam-6556	694	46	]	]	PUNCT
ejpam-6556	694	47	(	(	PUNCT
ejpam-6556	694	48	2	2	NUM
ejpam-6556	694	49	γ(γ	γ(γ	PROPN
ejpam-6556	694	50	+	+	CCONJ
ejpam-6556	694	51	1)(γ	1)(γ	NUM
ejpam-6556	694	52	+	+	CCONJ
ejpam-6556	694	53	2	2	NUM
ejpam-6556	694	54	)	)	PUNCT
ejpam-6556	694	55	+	+	CCONJ
ejpam-6556	694	56	1	1	NUM
ejpam-6556	694	57	γ	γ	NOUN
ejpam-6556	694	58	+	+	NOUN
ejpam-6556	694	59	2	2	NUM
ejpam-6556	694	60	)	)	PUNCT
ejpam-6556	694	61	+2	+2	PROPN
ejpam-6556	695	1	[	[	X
ejpam-6556	695	2	λ1	λ1	X
ejpam-6556	695	3	(	(	PUNCT
ejpam-6556	695	4	la	la	ADJ
ejpam-6556	695	5	)	)	PUNCT
ejpam-6556	695	6	λ2	λ2	NOUN
ejpam-6556	695	7	(	(	PUNCT
ejpam-6556	695	8	lb	lb	NOUN
ejpam-6556	695	9	)	)	PUNCT
ejpam-6556	695	10	+	+	NOUN
ejpam-6556	695	11	λ1	λ1	ADJ
ejpam-6556	695	12	(	(	PUNCT
ejpam-6556	695	13	lb	lb	NOUN
ejpam-6556	695	14	)	)	PUNCT
ejpam-6556	695	15	λ2	λ2	NOUN
ejpam-6556	695	16	(	(	PUNCT
ejpam-6556	695	17	la	la	NOUN
ejpam-6556	695	18	)	)	PUNCT
ejpam-6556	695	19	]	]	PUNCT
ejpam-6556	696	1	(	(	PUNCT
ejpam-6556	696	2	γ	γ	X
ejpam-6556	696	3	+	+	X
ejpam-6556	696	4	1)(γ	1)(γ	NUM
ejpam-6556	696	5	+	+	CCONJ
ejpam-6556	696	6	2	2	NUM
ejpam-6556	696	7	)	)	PUNCT
ejpam-6556	696	8	]	]	PUNCT
ejpam-6556	697	1	+	+	CCONJ
ejpam-6556	697	2	(	(	PUNCT
ejpam-6556	697	3	1−	1−	NUM
ejpam-6556	697	4	γ	γ	X
ejpam-6556	697	5	)	)	PUNCT
ejpam-6556	697	6	b(γ	b(γ	PROPN
ejpam-6556	697	7	)	)	PUNCT
ejpam-6556	698	1	[	[	X
ejpam-6556	698	2	eα(lb	eα(lb	X
ejpam-6556	698	3	−	−	X
ejpam-6556	698	4	la	la	NOUN
ejpam-6556	698	5	)	)	PUNCT
ejpam-6556	698	6	]	]	PUNCT
ejpam-6556	698	7	γ	γ	X
ejpam-6556	698	8	[	[	PUNCT
ejpam-6556	698	9	λ1	λ1	PROPN
ejpam-6556	698	10	(	(	PUNCT
ejpam-6556	698	11	la	la	ADJ
ejpam-6556	698	12	)	)	PUNCT
ejpam-6556	698	13	λ2	λ2	PROPN
ejpam-6556	698	14	(	(	PUNCT
ejpam-6556	698	15	la	la	NOUN
ejpam-6556	698	16	)	)	PUNCT
ejpam-6556	698	17	+	+	NOUN
ejpam-6556	698	18	λ1	λ1	ADJ
ejpam-6556	698	19	(	(	PUNCT
ejpam-6556	698	20	la	la	NOUN
ejpam-6556	698	21	+	+	CCONJ
ejpam-6556	698	22	eα(lb	eα(lb	ADJ
ejpam-6556	698	23	−	−	PROPN
ejpam-6556	698	24	la	la	NOUN
ejpam-6556	698	25	)	)	PUNCT
ejpam-6556	698	26	)	)	PUNCT
ejpam-6556	699	1	λ2	λ2	NOUN
ejpam-6556	699	2	(	(	PUNCT
ejpam-6556	699	3	la	la	NOUN
ejpam-6556	699	4	+	+	CCONJ
ejpam-6556	699	5	eα(lb	eα(lb	ADJ
ejpam-6556	699	6	−	−	PROPN
ejpam-6556	699	7	la	la	NOUN
ejpam-6556	699	8	)	)	PUNCT
ejpam-6556	699	9	)	)	PUNCT
ejpam-6556	699	10	]	]	PUNCT
ejpam-6556	699	11	.	.	PUNCT
ejpam-6556	700	1	also	also	ADV
ejpam-6556	700	2	,	,	PUNCT
ejpam-6556	700	3	in	in	ADP
ejpam-6556	700	4	the	the	DET
ejpam-6556	700	5	above	above	ADJ
ejpam-6556	700	6	theorem	theorem	NOUN
ejpam-6556	700	7	13	13	NUM
ejpam-6556	700	8	,	,	PUNCT
ejpam-6556	700	9	if	if	SCONJ
ejpam-6556	700	10	we	we	PRON
ejpam-6556	700	11	put	put	VERB
ejpam-6556	700	12	∆ϱ	∆ϱ	NOUN
ejpam-6556	700	13	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	700	14	−	−	PROPN
ejpam-6556	700	15	la	la	PROPN
ejpam-6556	700	16	)	)	PUNCT
ejpam-6556	700	17	=	=	SYM
ejpam-6556	700	18	lb	lb	DET
ejpam-6556	700	19	−	−	PROPN
ejpam-6556	700	20	la	la	PROPN
ejpam-6556	700	21	,	,	PUNCT
ejpam-6556	700	22	then	then	ADV
ejpam-6556	700	23	we	we	PRON
ejpam-6556	700	24	get	get	VERB
ejpam-6556	700	25	the	the	DET
ejpam-6556	700	26	new	new	ADJ
ejpam-6556	700	27	variant	variant	NOUN
ejpam-6556	700	28	of	of	ADP
ejpam-6556	700	29	pachpatte	pachpatte	NOUN
ejpam-6556	700	30	-	-	PUNCT
ejpam-6556	700	31	type	type	NOUN
ejpam-6556	700	32	integral	integral	ADJ
ejpam-6556	700	33	inequality	inequality	NOUN
ejpam-6556	700	34	involving	involve	VERB
ejpam-6556	700	35	convexity	convexity	NOUN
ejpam-6556	700	36	via	via	ADP
ejpam-6556	700	37	abfio	abfio	PROPN
ejpam-6556	700	38	.	.	PUNCT
ejpam-6556	701	1	theorem	theorem	VERB
ejpam-6556	701	2	14	14	NUM
ejpam-6556	701	3	.	.	PUNCT
ejpam-6556	702	1	if	if	SCONJ
ejpam-6556	702	2	λ1,λ2	λ1,λ2	PROPN
ejpam-6556	702	3	:	:	PUNCT
ejpam-6556	703	1	[	[	X
ejpam-6556	703	2	la	la	X
ejpam-6556	703	3	,	,	PUNCT
ejpam-6556	703	4	lb	lb	NOUN
ejpam-6556	703	5	]	]	X
ejpam-6556	703	6	→	→	PUNCT
ejpam-6556	703	7	r	r	NOUN
ejpam-6556	703	8	are	be	AUX
ejpam-6556	703	9	convex	convex	NOUN
ejpam-6556	703	10	functions	function	NOUN
ejpam-6556	703	11	,	,	PUNCT
ejpam-6556	703	12	λ1,λ2	λ1,λ2	PROPN
ejpam-6556	703	13	∈	∈	PROPN
ejpam-6556	703	14	l	l	NOUN
ejpam-6556	704	1	[	[	X
ejpam-6556	704	2	la	la	X
ejpam-6556	704	3	,	,	PUNCT
ejpam-6556	704	4	lb	lb	PROPN
ejpam-6556	704	5	]	]	X
ejpam-6556	704	6	,	,	PUNCT
ejpam-6556	704	7	then	then	ADV
ejpam-6556	704	8	the	the	DET
ejpam-6556	704	9	following	follow	VERB
ejpam-6556	704	10	inequality	inequality	NOUN
ejpam-6556	704	11	for	for	ADP
ejpam-6556	704	12	abfio	abfio	NOUN
ejpam-6556	704	13	holds	hold	VERB
ejpam-6556	704	14	1	1	NUM
ejpam-6556	704	15	(	(	PUNCT
ejpam-6556	704	16	lb	lb	PRON
ejpam-6556	704	17	−	−	PROPN
ejpam-6556	704	18	la	la	PROPN
ejpam-6556	704	19	)	)	PUNCT
ejpam-6556	704	20	γ	γ	PROPN
ejpam-6556	704	21	[	[	PUNCT
ejpam-6556	704	22	ab	ab	X
ejpam-6556	704	23	la	la	PROPN
ejpam-6556	704	24	iγ	iγ	PROPN
ejpam-6556	704	25	{	{	PUNCT
ejpam-6556	704	26	λ1λ2	λ1λ2	X
ejpam-6556	704	27	(	(	PUNCT
ejpam-6556	704	28	lb)}+	lb)}+	ADJ
ejpam-6556	704	29	abiγlb	abiγlb	NOUN
ejpam-6556	704	30	{	{	PUNCT
ejpam-6556	704	31	λ1λ2	λ1λ2	X
ejpam-6556	704	32	(	(	PUNCT
ejpam-6556	704	33	la	la	NOUN
ejpam-6556	704	34	)	)	PUNCT
ejpam-6556	704	35	}	}	PUNCT
ejpam-6556	704	36	]	]	PUNCT
ejpam-6556	704	37	≤	≤	NUM
ejpam-6556	704	38	γ	γ	X
ejpam-6556	704	39	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	704	40	)	)	PUNCT
ejpam-6556	704	41	[	[	PUNCT
ejpam-6556	704	42	[	[	X
ejpam-6556	704	43	λ1	λ1	ADJ
ejpam-6556	704	44	(	(	PUNCT
ejpam-6556	704	45	la	la	ADJ
ejpam-6556	704	46	)	)	PUNCT
ejpam-6556	704	47	λ2	λ2	PROPN
ejpam-6556	704	48	(	(	PUNCT
ejpam-6556	704	49	la	la	NOUN
ejpam-6556	704	50	)	)	PUNCT
ejpam-6556	705	1	+	+	CCONJ
ejpam-6556	705	2	λ1	λ1	ADJ
ejpam-6556	705	3	(	(	PUNCT
ejpam-6556	705	4	lb	lb	NOUN
ejpam-6556	705	5	)	)	PUNCT
ejpam-6556	705	6	λ2	λ2	NOUN
ejpam-6556	705	7	(	(	PUNCT
ejpam-6556	705	8	lb	lb	NOUN
ejpam-6556	705	9	)	)	PUNCT
ejpam-6556	705	10	]	]	PUNCT
ejpam-6556	705	11	(	(	PUNCT
ejpam-6556	705	12	2	2	NUM
ejpam-6556	705	13	γ(γ	γ(γ	PROPN
ejpam-6556	705	14	+	+	CCONJ
ejpam-6556	705	15	1)(γ	1)(γ	NUM
ejpam-6556	705	16	+	+	CCONJ
ejpam-6556	705	17	2	2	NUM
ejpam-6556	705	18	)	)	PUNCT
ejpam-6556	705	19	+	+	CCONJ
ejpam-6556	705	20	1	1	NUM
ejpam-6556	705	21	γ	γ	NOUN
ejpam-6556	705	22	+	+	NOUN
ejpam-6556	705	23	2	2	NUM
ejpam-6556	705	24	)	)	PUNCT
ejpam-6556	705	25	+2	+2	PROPN
ejpam-6556	706	1	[	[	X
ejpam-6556	706	2	λ1	λ1	X
ejpam-6556	706	3	(	(	PUNCT
ejpam-6556	706	4	la	la	ADJ
ejpam-6556	706	5	)	)	PUNCT
ejpam-6556	706	6	λ2	λ2	NOUN
ejpam-6556	706	7	(	(	PUNCT
ejpam-6556	706	8	lb	lb	NOUN
ejpam-6556	706	9	)	)	PUNCT
ejpam-6556	706	10	+	+	NOUN
ejpam-6556	706	11	λ1	λ1	ADJ
ejpam-6556	706	12	(	(	PUNCT
ejpam-6556	706	13	lb	lb	NOUN
ejpam-6556	706	14	)	)	PUNCT
ejpam-6556	706	15	λ2	λ2	NOUN
ejpam-6556	706	16	(	(	PUNCT
ejpam-6556	706	17	la	la	NOUN
ejpam-6556	706	18	)	)	PUNCT
ejpam-6556	706	19	]	]	PUNCT
ejpam-6556	707	1	(	(	PUNCT
ejpam-6556	707	2	γ	γ	X
ejpam-6556	707	3	+	+	X
ejpam-6556	707	4	1)(γ	1)(γ	NUM
ejpam-6556	707	5	+	+	CCONJ
ejpam-6556	707	6	2	2	NUM
ejpam-6556	707	7	)	)	PUNCT
ejpam-6556	707	8	]	]	PUNCT
ejpam-6556	708	1	+	+	CCONJ
ejpam-6556	708	2	(	(	PUNCT
ejpam-6556	708	3	1−	1−	NUM
ejpam-6556	708	4	γ	γ	X
ejpam-6556	708	5	)	)	PUNCT
ejpam-6556	708	6	b(γ	b(γ	PROPN
ejpam-6556	708	7	)	)	PUNCT
ejpam-6556	708	8	(	(	PUNCT
ejpam-6556	708	9	lb	lb	X
ejpam-6556	708	10	−	−	PROPN
ejpam-6556	708	11	la	la	PROPN
ejpam-6556	708	12	)	)	PUNCT
ejpam-6556	708	13	γ	γ	PROPN
ejpam-6556	708	14	[	[	X
ejpam-6556	708	15	λ1	λ1	X
ejpam-6556	708	16	(	(	PUNCT
ejpam-6556	708	17	la	la	ADJ
ejpam-6556	708	18	)	)	PUNCT
ejpam-6556	708	19	λ2	λ2	PROPN
ejpam-6556	708	20	(	(	PUNCT
ejpam-6556	708	21	la	la	NOUN
ejpam-6556	708	22	)	)	PUNCT
ejpam-6556	709	1	+	+	CCONJ
ejpam-6556	709	2	λ1	λ1	ADJ
ejpam-6556	709	3	(	(	PUNCT
ejpam-6556	709	4	lb	lb	NOUN
ejpam-6556	709	5	)	)	PUNCT
ejpam-6556	709	6	λ2	λ2	NOUN
ejpam-6556	709	7	(	(	PUNCT
ejpam-6556	709	8	lb	lb	NOUN
ejpam-6556	709	9	)	)	PUNCT
ejpam-6556	709	10	]	]	PUNCT
ejpam-6556	709	11	.	.	PUNCT
ejpam-6556	710	1	7	7	X
ejpam-6556	710	2	.	.	X
ejpam-6556	710	3	applications	application	NOUN
ejpam-6556	710	4	to	to	PART
ejpam-6556	710	5	entropy	entropy	VERB
ejpam-6556	710	6	entropy	entropy	PROPN
ejpam-6556	710	7	is	be	AUX
ejpam-6556	710	8	important	important	ADJ
ejpam-6556	710	9	because	because	SCONJ
ejpam-6556	710	10	it	it	PRON
ejpam-6556	710	11	provides	provide	VERB
ejpam-6556	710	12	a	a	DET
ejpam-6556	710	13	fundamental	fundamental	ADJ
ejpam-6556	710	14	measure	measure	NOUN
ejpam-6556	710	15	of	of	ADP
ejpam-6556	710	16	uncertainty	uncertainty	NOUN
ejpam-6556	710	17	,	,	PUNCT
ejpam-6556	710	18	disorder	disorder	NOUN
ejpam-6556	710	19	,	,	PUNCT
ejpam-6556	710	20	or	or	CCONJ
ejpam-6556	710	21	information	information	NOUN
ejpam-6556	710	22	content	content	NOUN
ejpam-6556	710	23	across	across	ADP
ejpam-6556	710	24	various	various	ADJ
ejpam-6556	710	25	scientific	scientific	ADJ
ejpam-6556	710	26	disciplines	discipline	NOUN
ejpam-6556	710	27	.	.	PUNCT
ejpam-6556	711	1	it	it	PRON
ejpam-6556	711	2	also	also	ADV
ejpam-6556	711	3	has	have	VERB
ejpam-6556	711	4	a	a	DET
ejpam-6556	711	5	strong	strong	ADJ
ejpam-6556	711	6	relation	relation	NOUN
ejpam-6556	711	7	with	with	ADP
ejpam-6556	711	8	integral	integral	ADJ
ejpam-6556	711	9	inequalities	inequality	NOUN
ejpam-6556	711	10	,	,	PUNCT
ejpam-6556	711	11	particularly	particularly	ADV
ejpam-6556	711	12	in	in	ADP
ejpam-6556	711	13	the	the	DET
ejpam-6556	711	14	study	study	NOUN
ejpam-6556	711	15	of	of	ADP
ejpam-6556	711	16	convex	convex	NOUN
ejpam-6556	711	17	functions	function	NOUN
ejpam-6556	711	18	and	and	CCONJ
ejpam-6556	711	19	functional	functional	ADJ
ejpam-6556	711	20	analysis	analysis	NOUN
ejpam-6556	711	21	.	.	PUNCT
ejpam-6556	712	1	for	for	ADP
ejpam-6556	712	2	example	example	NOUN
ejpam-6556	712	3	,	,	PUNCT
ejpam-6556	712	4	many	many	ADJ
ejpam-6556	712	5	entropy	entropy	NOUN
ejpam-6556	712	6	-	-	PUNCT
ejpam-6556	712	7	based	base	VERB
ejpam-6556	712	8	inequalities	inequality	NOUN
ejpam-6556	712	9	,	,	PUNCT
ejpam-6556	712	10	such	such	ADJ
ejpam-6556	712	11	as	as	ADP
ejpam-6556	712	12	the	the	DET
ejpam-6556	712	13	gibbs	gibbs	PROPN
ejpam-6556	712	14	inequality	inequality	NOUN
ejpam-6556	712	15	or	or	CCONJ
ejpam-6556	712	16	logarithmic	logarithmic	ADJ
ejpam-6556	712	17	sobolev	sobolev	NOUN
ejpam-6556	712	18	inequalities	inequality	NOUN
ejpam-6556	712	19	,	,	PUNCT
ejpam-6556	712	20	are	be	AUX
ejpam-6556	712	21	special	special	ADJ
ejpam-6556	712	22	cases	case	NOUN
ejpam-6556	712	23	or	or	CCONJ
ejpam-6556	712	24	extensions	extension	NOUN
ejpam-6556	712	25	of	of	ADP
ejpam-6556	712	26	classical	classical	ADJ
ejpam-6556	712	27	integral	integral	ADJ
ejpam-6556	712	28	m.	m.	NOUN
ejpam-6556	712	29	tariq	tariq	PROPN
ejpam-6556	712	30	et	et	PROPN
ejpam-6556	712	31	al	al	PROPN
ejpam-6556	712	32	.	.	PUNCT
ejpam-6556	712	33	/	/	SYM
ejpam-6556	712	34	eur	eur	PROPN
ejpam-6556	712	35	.	.	PUNCT
ejpam-6556	713	1	j.	j.	PROPN
ejpam-6556	713	2	pure	pure	PROPN
ejpam-6556	713	3	appl	appl	PROPN
ejpam-6556	713	4	.	.	PROPN
ejpam-6556	713	5	math	math	PROPN
ejpam-6556	713	6	,	,	PUNCT
ejpam-6556	713	7	18	18	NUM
ejpam-6556	713	8	(	(	PUNCT
ejpam-6556	713	9	3	3	NUM
ejpam-6556	713	10	)	)	PUNCT
ejpam-6556	713	11	(	(	PUNCT
ejpam-6556	713	12	2025	2025	NUM
ejpam-6556	713	13	)	)	PUNCT
ejpam-6556	713	14	,	,	PUNCT
ejpam-6556	713	15	6556	6556	NUM
ejpam-6556	713	16	23	23	NUM
ejpam-6556	713	17	of	of	ADP
ejpam-6556	713	18	28	28	NUM
ejpam-6556	713	19	inequalities	inequality	NOUN
ejpam-6556	713	20	.	.	PUNCT
ejpam-6556	714	1	these	these	DET
ejpam-6556	714	2	relationships	relationship	NOUN
ejpam-6556	714	3	allow	allow	VERB
ejpam-6556	714	4	researchers	researcher	NOUN
ejpam-6556	714	5	to	to	PART
ejpam-6556	714	6	analyze	analyze	VERB
ejpam-6556	714	7	the	the	DET
ejpam-6556	714	8	behavior	behavior	NOUN
ejpam-6556	714	9	of	of	ADP
ejpam-6556	714	10	complex	complex	ADJ
ejpam-6556	714	11	systems	system	NOUN
ejpam-6556	714	12	by	by	ADP
ejpam-6556	714	13	connecting	connect	VERB
ejpam-6556	714	14	probabilistic	probabilistic	ADJ
ejpam-6556	714	15	concepts	concept	NOUN
ejpam-6556	714	16	with	with	ADP
ejpam-6556	714	17	analytical	analytical	ADJ
ejpam-6556	714	18	tools	tool	NOUN
ejpam-6556	714	19	.	.	PUNCT
ejpam-6556	715	1	this	this	DET
ejpam-6556	715	2	interplay	interplay	NOUN
ejpam-6556	715	3	between	between	ADP
ejpam-6556	715	4	entropy	entropy	NOUN
ejpam-6556	715	5	and	and	CCONJ
ejpam-6556	715	6	integral	integral	ADJ
ejpam-6556	715	7	inequalities	inequality	NOUN
ejpam-6556	715	8	is	be	AUX
ejpam-6556	715	9	crucial	crucial	ADJ
ejpam-6556	715	10	in	in	ADP
ejpam-6556	715	11	various	various	ADJ
ejpam-6556	715	12	fields	field	NOUN
ejpam-6556	715	13	,	,	PUNCT
ejpam-6556	715	14	including	include	VERB
ejpam-6556	715	15	mathematical	mathematical	ADJ
ejpam-6556	715	16	physics	physics	NOUN
ejpam-6556	715	17	,	,	PUNCT
ejpam-6556	715	18	optimization	optimization	NOUN
ejpam-6556	715	19	,	,	PUNCT
ejpam-6556	715	20	statistical	statistical	ADJ
ejpam-6556	715	21	mechanics	mechanic	NOUN
ejpam-6556	715	22	,	,	PUNCT
ejpam-6556	715	23	and	and	CCONJ
ejpam-6556	715	24	information	information	NOUN
ejpam-6556	715	25	geometry	geometry	NOUN
ejpam-6556	715	26	,	,	PUNCT
ejpam-6556	715	27	where	where	SCONJ
ejpam-6556	715	28	it	it	PRON
ejpam-6556	715	29	helps	help	VERB
ejpam-6556	715	30	to	to	PART
ejpam-6556	715	31	derive	derive	VERB
ejpam-6556	715	32	bounds	bound	NOUN
ejpam-6556	715	33	,	,	PUNCT
ejpam-6556	715	34	characterize	characterize	VERB
ejpam-6556	715	35	stability	stability	NOUN
ejpam-6556	715	36	,	,	PUNCT
ejpam-6556	715	37	and	and	CCONJ
ejpam-6556	715	38	study	study	VERB
ejpam-6556	715	39	the	the	DET
ejpam-6556	715	40	distribution	distribution	NOUN
ejpam-6556	715	41	of	of	ADP
ejpam-6556	715	42	measures	measure	NOUN
ejpam-6556	715	43	.	.	PUNCT
ejpam-6556	716	1	consider	consider	VERB
ejpam-6556	716	2	the	the	DET
ejpam-6556	716	3	exponential	exponential	ADJ
ejpam-6556	716	4	random	random	ADJ
ejpam-6556	716	5	variable	variable	NOUN
ejpam-6556	716	6	eλ	eλ	NOUN
ejpam-6556	716	7	with	with	ADP
ejpam-6556	716	8	parameter	parameter	PROPN
ejpam-6556	716	9	λ	λ	PROPN
ejpam-6556	716	10	>	>	X
ejpam-6556	716	11	0	0	PROPN
ejpam-6556	716	12	,	,	PUNCT
ejpam-6556	716	13	whose	whose	DET
ejpam-6556	716	14	probability	probability	NOUN
ejpam-6556	716	15	density	density	NOUN
ejpam-6556	716	16	function	function	NOUN
ejpam-6556	716	17	(	(	PUNCT
ejpam-6556	716	18	pdf	pdf	NOUN
ejpam-6556	716	19	)	)	PUNCT
ejpam-6556	716	20	is	be	AUX
ejpam-6556	716	21	f(x	f(x	PROPN
ejpam-6556	716	22	)	)	PUNCT
ejpam-6556	716	23	=	=	PUNCT
ejpam-6556	717	1	λe−λx	λe−λx	NOUN
ejpam-6556	717	2	,	,	PUNCT
ejpam-6556	717	3	x	x	X
ejpam-6556	717	4	≥	≥	NOUN
ejpam-6556	717	5	0	0	NUM
ejpam-6556	717	6	.	.	PUNCT
ejpam-6556	718	1	the	the	DET
ejpam-6556	718	2	shannon	shannon	PROPN
ejpam-6556	718	3	entropy	entropy	PROPN
ejpam-6556	718	4	of	of	ADP
ejpam-6556	718	5	eλ	eλ	PROPN
ejpam-6556	718	6	is	be	AUX
ejpam-6556	718	7	defined	define	VERB
ejpam-6556	718	8	by	by	ADP
ejpam-6556	718	9	h(eλ	h(eλ	NOUN
ejpam-6556	718	10	)	)	PUNCT
ejpam-6556	718	11	=	=	PUNCT
ejpam-6556	719	1	−	−	PROPN
ejpam-6556	719	2	∫	∫	PROPN
ejpam-6556	719	3	∞	∞	PROPN
ejpam-6556	719	4	0	0	NUM
ejpam-6556	720	1	f(x	f(x	PROPN
ejpam-6556	720	2	)	)	PUNCT
ejpam-6556	720	3	log	log	VERB
ejpam-6556	720	4	f(x	f(x	PROPN
ejpam-6556	720	5	)	)	PUNCT
ejpam-6556	720	6	dx	dx	PROPN
ejpam-6556	721	1	=	=	SYM
ejpam-6556	722	1	−	−	PROPN
ejpam-6556	722	2	∫	∫	PROPN
ejpam-6556	722	3	∞	∞	NOUN
ejpam-6556	722	4	0	0	NUM
ejpam-6556	723	1	λe−λx	λe−λx	X
ejpam-6556	723	2	log	log	NOUN
ejpam-6556	723	3	(	(	PUNCT
ejpam-6556	723	4	λe−λx	λe−λx	X
ejpam-6556	723	5	)	)	PUNCT
ejpam-6556	723	6	dx	dx	PROPN
ejpam-6556	723	7	.	.	PUNCT
ejpam-6556	723	8	compute	compute	VERB
ejpam-6556	723	9	the	the	DET
ejpam-6556	723	10	shannon	shannon	PROPN
ejpam-6556	723	11	entropy	entropy	PROPN
ejpam-6556	723	12	explicitly	explicitly	ADV
ejpam-6556	723	13	using	use	VERB
ejpam-6556	723	14	standard	standard	ADJ
ejpam-6556	723	15	integration	integration	NOUN
ejpam-6556	723	16	,	,	PUNCT
ejpam-6556	723	17	h(eλ	h(eλ	NUM
ejpam-6556	723	18	)	)	PUNCT
ejpam-6556	723	19	=	=	PUNCT
ejpam-6556	724	1	−	−	PROPN
ejpam-6556	724	2	∫	∫	PROPN
ejpam-6556	724	3	∞	∞	NOUN
ejpam-6556	724	4	0	0	NUM
ejpam-6556	725	1	λe−λx	λe−λx	X
ejpam-6556	725	2	(	(	PUNCT
ejpam-6556	725	3	log	log	VERB
ejpam-6556	725	4	λ−	λ−	PROPN
ejpam-6556	725	5	λx	λx	PROPN
ejpam-6556	725	6	)	)	PUNCT
ejpam-6556	725	7	dx	dx	PROPN
ejpam-6556	726	1	=	=	PUNCT
ejpam-6556	727	1	−	−	PROPN
ejpam-6556	727	2	log	log	NOUN
ejpam-6556	727	3	λ	λ	X
ejpam-6556	727	4	∫	∫	PROPN
ejpam-6556	727	5	∞	∞	PROPN
ejpam-6556	727	6	0	0	NUM
ejpam-6556	728	1	λe−λx	λe−λx	X
ejpam-6556	728	2	dx+	dx+	NOUN
ejpam-6556	729	1	λ	λ	X
ejpam-6556	729	2	∫	∫	PROPN
ejpam-6556	729	3	∞	∞	NUM
ejpam-6556	729	4	0	0	NUM
ejpam-6556	729	5	λxe−λx	λxe−λx	NOUN
ejpam-6556	729	6	dx	dx	PROPN
ejpam-6556	730	1	=	=	SYM
ejpam-6556	730	2	−	−	PROPN
ejpam-6556	730	3	log	log	NOUN
ejpam-6556	730	4	λ	λ	X
ejpam-6556	730	5	·	·	PUNCT
ejpam-6556	730	6	1	1	NUM
ejpam-6556	730	7	+	+	CCONJ
ejpam-6556	730	8	λ	λ	X
ejpam-6556	730	9	·	·	PUNCT
ejpam-6556	730	10	1	1	NUM
ejpam-6556	730	11	λ	λ	X
ejpam-6556	730	12	=	=	SYM
ejpam-6556	730	13	1−	1−	NUM
ejpam-6556	730	14	log	log	PROPN
ejpam-6556	730	15	λ	λ	PROPN
ejpam-6556	730	16	.	.	PROPN
ejpam-6556	730	17	define	define	VERB
ejpam-6556	730	18	the	the	DET
ejpam-6556	730	19	function	function	NOUN
ejpam-6556	730	20	λ	λ	NOUN
ejpam-6556	730	21	related	relate	VERB
ejpam-6556	730	22	to	to	ADP
ejpam-6556	730	23	the	the	DET
ejpam-6556	730	24	integrand	integrand	NOUN
ejpam-6556	730	25	and	and	CCONJ
ejpam-6556	730	26	consider	consider	VERB
ejpam-6556	730	27	λ(x	λ(x	PROPN
ejpam-6556	730	28	)	)	PUNCT
ejpam-6556	730	29	:	:	PUNCT
ejpam-6556	731	1	=	=	PUNCT
ejpam-6556	731	2	−	−	NOUN
ejpam-6556	731	3	log	log	VERB
ejpam-6556	731	4	f(x	f(x	PROPN
ejpam-6556	731	5	)	)	PUNCT
ejpam-6556	731	6	=	=	PUNCT
ejpam-6556	732	1	−	−	PROPN
ejpam-6556	732	2	log	log	NOUN
ejpam-6556	732	3	(	(	PUNCT
ejpam-6556	732	4	λe−λx	λe−λx	X
ejpam-6556	732	5	)	)	PUNCT
ejpam-6556	733	1	=	=	PUNCT
ejpam-6556	734	1	λx−	λx−	NUM
ejpam-6556	734	2	log	log	NOUN
ejpam-6556	734	3	λ	λ	NOUN
ejpam-6556	734	4	,	,	PUNCT
ejpam-6556	734	5	which	which	PRON
ejpam-6556	734	6	is	be	AUX
ejpam-6556	734	7	linear	linear	ADJ
ejpam-6556	734	8	(	(	PUNCT
ejpam-6556	734	9	hence	hence	ADV
ejpam-6556	734	10	convex	convex	VERB
ejpam-6556	734	11	)	)	PUNCT
ejpam-6556	734	12	on	on	ADP
ejpam-6556	734	13	[	[	X
ejpam-6556	734	14	0,∞	0,∞	NOUN
ejpam-6556	734	15	)	)	PUNCT
ejpam-6556	734	16	.	.	PUNCT
ejpam-6556	735	1	choose	choose	VERB
ejpam-6556	735	2	the	the	DET
ejpam-6556	735	3	interval	interval	NOUN
ejpam-6556	735	4	and	and	CCONJ
ejpam-6556	735	5	mittag	mittag	ADJ
ejpam-6556	735	6	-	-	PUNCT
ejpam-6556	735	7	leffler	leffler	NOUN
ejpam-6556	735	8	deformation	deformation	NOUN
ejpam-6556	735	9	and	and	CCONJ
ejpam-6556	735	10	restrict	restrict	VERB
ejpam-6556	735	11	the	the	DET
ejpam-6556	735	12	domain	domain	NOUN
ejpam-6556	735	13	to	to	ADP
ejpam-6556	735	14	the	the	DET
ejpam-6556	735	15	compact	compact	ADJ
ejpam-6556	735	16	interval	interval	NOUN
ejpam-6556	735	17	[	[	X
ejpam-6556	735	18	la	la	X
ejpam-6556	735	19	,	,	PUNCT
ejpam-6556	735	20	lb	lb	PROPN
ejpam-6556	735	21	]	]	X
ejpam-6556	735	22	:	:	PUNCT
ejpam-6556	735	23	=	=	SYM
ejpam-6556	735	24	[	[	PUNCT
ejpam-6556	735	25	0	0	NUM
ejpam-6556	735	26	,	,	PUNCT
ejpam-6556	735	27	1	1	NUM
ejpam-6556	735	28	λ	λ	NOUN
ejpam-6556	735	29	]	]	PUNCT
ejpam-6556	735	30	.	.	PUNCT
ejpam-6556	736	1	define	define	VERB
ejpam-6556	736	2	the	the	DET
ejpam-6556	736	3	mittag	mittag	ADJ
ejpam-6556	736	4	-	-	PUNCT
ejpam-6556	736	5	leffler	leffler	NOUN
ejpam-6556	736	6	type	type	NOUN
ejpam-6556	736	7	deformation	deformation	NOUN
ejpam-6556	736	8	∆ϱϵ,σ(lb	∆ϱϵ,σ(lb	PROPN
ejpam-6556	736	9	)	)	PUNCT
ejpam-6556	736	10	:	:	PUNCT
ejpam-6556	737	1	=	=	NOUN
ejpam-6556	737	2	∞∑	∞∑	NUM
ejpam-6556	737	3	k=0	k=0	PUNCT
ejpam-6556	737	4	ϱ(k	ϱ(k	ADV
ejpam-6556	737	5	)	)	PUNCT
ejpam-6556	737	6	γ(ϵk	γ(ϵk	NOUN
ejpam-6556	737	7	+	+	PROPN
ejpam-6556	737	8	σ	σ	NOUN
ejpam-6556	737	9	)	)	PUNCT
ejpam-6556	737	10	(	(	PUNCT
ejpam-6556	737	11	1	1	NUM
ejpam-6556	737	12	λ	λ	NOUN
ejpam-6556	737	13	)	)	PUNCT
ejpam-6556	737	14	k	k	PROPN
ejpam-6556	737	15	,	,	PUNCT
ejpam-6556	737	16	with	with	ADP
ejpam-6556	737	17	parameters	parameter	NOUN
ejpam-6556	737	18	ϱ(k	ϱ(k	ADV
ejpam-6556	737	19	)	)	PUNCT
ejpam-6556	737	20	=	=	SYM
ejpam-6556	737	21	1	1	NUM
ejpam-6556	737	22	,	,	PUNCT
ejpam-6556	737	23	ϵ	ϵ	X
ejpam-6556	737	24	=	=	SYM
ejpam-6556	737	25	α	α	PROPN
ejpam-6556	737	26	∈	∈	PROPN
ejpam-6556	737	27	(	(	PUNCT
ejpam-6556	737	28	0	0	NUM
ejpam-6556	737	29	,	,	PUNCT
ejpam-6556	737	30	1	1	NUM
ejpam-6556	737	31	)	)	PUNCT
ejpam-6556	737	32	,	,	PUNCT
ejpam-6556	737	33	σ	σ	PROPN
ejpam-6556	737	34	=	=	SYM
ejpam-6556	737	35	1	1	NUM
ejpam-6556	737	36	,	,	PUNCT
ejpam-6556	737	37	so	so	SCONJ
ejpam-6556	737	38	that	that	SCONJ
ejpam-6556	737	39	∆	∆	PROPN
ejpam-6556	737	40	(	(	PUNCT
ejpam-6556	737	41	1	1	X
ejpam-6556	737	42	)	)	PUNCT
ejpam-6556	737	43	α,1	α,1	NOUN
ejpam-6556	737	44	(	(	PUNCT
ejpam-6556	737	45	1	1	NUM
ejpam-6556	737	46	λ	λ	NOUN
ejpam-6556	737	47	)	)	PUNCT
ejpam-6556	737	48	=	=	PUNCT
ejpam-6556	738	1	∞∑	∞∑	NUM
ejpam-6556	738	2	k=0	k=0	PROPN
ejpam-6556	738	3	(	(	PUNCT
ejpam-6556	738	4	1	1	NUM
ejpam-6556	738	5	λ	λ	NOUN
ejpam-6556	738	6	)	)	PUNCT
ejpam-6556	738	7	k	k	PROPN
ejpam-6556	739	1	γ(1	γ(1	PROPN
ejpam-6556	739	2	+	+	CCONJ
ejpam-6556	739	3	αk	αk	X
ejpam-6556	739	4	)	)	PUNCT
ejpam-6556	739	5	=	=	NOUN
ejpam-6556	739	6	:	:	PUNCT
ejpam-6556	739	7	eα	eα	PROPN
ejpam-6556	739	8	(	(	PUNCT
ejpam-6556	739	9	1	1	NUM
ejpam-6556	739	10	λ	λ	NOUN
ejpam-6556	739	11	)	)	PUNCT
ejpam-6556	739	12	,	,	PUNCT
ejpam-6556	739	13	the	the	DET
ejpam-6556	739	14	classical	classical	ADJ
ejpam-6556	739	15	mittag	mittag	ADJ
ejpam-6556	739	16	-	-	PUNCT
ejpam-6556	739	17	leffler	leffler	NOUN
ejpam-6556	739	18	function	function	NOUN
ejpam-6556	739	19	.	.	PUNCT
ejpam-6556	740	1	m.	m.	NOUN
ejpam-6556	740	2	tariq	tariq	PROPN
ejpam-6556	740	3	et	et	PROPN
ejpam-6556	740	4	al	al	PROPN
ejpam-6556	740	5	.	.	PUNCT
ejpam-6556	740	6	/	/	SYM
ejpam-6556	740	7	eur	eur	PROPN
ejpam-6556	740	8	.	.	PUNCT
ejpam-6556	741	1	j.	j.	PROPN
ejpam-6556	741	2	pure	pure	PROPN
ejpam-6556	741	3	appl	appl	PROPN
ejpam-6556	741	4	.	.	PROPN
ejpam-6556	741	5	math	math	PROPN
ejpam-6556	741	6	,	,	PUNCT
ejpam-6556	741	7	18	18	NUM
ejpam-6556	741	8	(	(	PUNCT
ejpam-6556	741	9	3	3	NUM
ejpam-6556	741	10	)	)	PUNCT
ejpam-6556	741	11	(	(	PUNCT
ejpam-6556	741	12	2025	2025	NUM
ejpam-6556	741	13	)	)	PUNCT
ejpam-6556	741	14	,	,	PUNCT
ejpam-6556	741	15	6556	6556	NUM
ejpam-6556	741	16	24	24	NUM
ejpam-6556	741	17	of	of	ADP
ejpam-6556	741	18	28	28	NUM
ejpam-6556	741	19	applying	apply	VERB
ejpam-6556	741	20	theorem	theorem	NOUN
ejpam-6556	741	21	8	8	NUM
ejpam-6556	741	22	to	to	ADP
ejpam-6556	741	23	λ	λ	PROPN
ejpam-6556	741	24	.	.	PROPN
ejpam-6556	741	25	from	from	ADP
ejpam-6556	741	26	the	the	DET
ejpam-6556	741	27	integral	integral	ADJ
ejpam-6556	741	28	inequality	inequality	NOUN
ejpam-6556	741	29	theorem	theorem	VERB
ejpam-6556	741	30	for	for	ADP
ejpam-6556	741	31	generalized	generalize	VERB
ejpam-6556	741	32	-	-	PUNCT
ejpam-6556	741	33	convex	convex	NOUN
ejpam-6556	741	34	functions	function	NOUN
ejpam-6556	741	35	and	and	CCONJ
ejpam-6556	741	36	ab	ab	ADJ
ejpam-6556	741	37	-	-	PUNCT
ejpam-6556	741	38	fractional	fractional	ADJ
ejpam-6556	741	39	integrals	integral	NOUN
ejpam-6556	741	40	,	,	PUNCT
ejpam-6556	741	41	we	we	PRON
ejpam-6556	741	42	have	have	VERB
ejpam-6556	741	43	the	the	DET
ejpam-6556	741	44	double	double	ADJ
ejpam-6556	741	45	inequality	inequality	NOUN
ejpam-6556	741	46	:	:	PUNCT
ejpam-6556	741	47	λ	λ	X
ejpam-6556	741	48	(	(	PUNCT
ejpam-6556	741	49	2la	2la	ADJ
ejpam-6556	741	50	+	+	CCONJ
ejpam-6556	741	51	∆	∆	PROPN
ejpam-6556	741	52	ϱ	ϱ	ADP
ejpam-6556	741	53	ϵ,σ(lb	ϵ,σ(lb	PROPN
ejpam-6556	741	54	)	)	PUNCT
ejpam-6556	741	55	2	2	NUM
ejpam-6556	741	56	)	)	PUNCT
ejpam-6556	741	57	≤	≤	NOUN
ejpam-6556	741	58	b(γ)γ(γ	b(γ)γ(γ	NOUN
ejpam-6556	741	59	)	)	PUNCT
ejpam-6556	741	60	2	2	NUM
ejpam-6556	742	1	[	[	X
ejpam-6556	742	2	∆ϱϵ,σ(lb	∆ϱϵ,σ(lb	NOUN
ejpam-6556	742	3	)	)	PUNCT
ejpam-6556	742	4	]	]	PUNCT
ejpam-6556	743	1	γ	γ	X
ejpam-6556	743	2	[	[	PUNCT
ejpam-6556	743	3	0∆ϱϵ,σ(lb)λ	0∆ϱϵ,σ(lb)λ	ADJ
ejpam-6556	743	4	(	(	PUNCT
ejpam-6556	743	5	∆ϱϵ,σ(lb	∆ϱϵ,σ(lb	PROPN
ejpam-6556	743	6	)	)	PUNCT
ejpam-6556	743	7	)	)	PUNCT
ejpam-6556	744	1	+	+	CCONJ
ejpam-6556	744	2	∆ϱϵ,σ(lb)0λ(0	∆ϱϵ,σ(lb)0λ(0	NOUN
ejpam-6556	744	3	)	)	PUNCT
ejpam-6556	744	4	]	]	PUNCT
ejpam-6556	744	5	(	(	PUNCT
ejpam-6556	744	6	7.1	7.1	NUM
ejpam-6556	744	7	)	)	PUNCT
ejpam-6556	744	8	−	−	PROPN
ejpam-6556	744	9	(	(	PUNCT
ejpam-6556	744	10	1−	1−	NUM
ejpam-6556	744	11	γ)γ(γ	γ)γ(γ	NOUN
ejpam-6556	744	12	)	)	PUNCT
ejpam-6556	745	1	2	2	NUM
ejpam-6556	746	1	[	[	X
ejpam-6556	746	2	∆ϱϵ,σ(lb	∆ϱϵ,σ(lb	NOUN
ejpam-6556	746	3	)	)	PUNCT
ejpam-6556	746	4	]	]	PUNCT
ejpam-6556	747	1	γ	γ	X
ejpam-6556	747	2	[	[	PUNCT
ejpam-6556	747	3	λ(0	λ(0	PROPN
ejpam-6556	747	4	)	)	PUNCT
ejpam-6556	748	1	+	+	NUM
ejpam-6556	748	2	λ	λ	X
ejpam-6556	748	3	(	(	PUNCT
ejpam-6556	748	4	∆ϱϵ,σ(lb	∆ϱϵ,σ(lb	PROPN
ejpam-6556	748	5	)	)	PUNCT
ejpam-6556	748	6	)	)	PUNCT
ejpam-6556	748	7	]	]	PUNCT
ejpam-6556	748	8	≤	≤	NUM
ejpam-6556	748	9	λ(0	λ(0	NOUN
ejpam-6556	748	10	)	)	PUNCT
ejpam-6556	748	11	+	+	NUM
ejpam-6556	748	12	λ(lb	λ(lb	NOUN
ejpam-6556	748	13	)	)	PUNCT
ejpam-6556	748	14	2	2	NUM
ejpam-6556	748	15	.	.	PUNCT
ejpam-6556	748	16	substitute	substitute	VERB
ejpam-6556	748	17	the	the	DET
ejpam-6556	748	18	values	value	NOUN
ejpam-6556	748	19	:	:	PUNCT
ejpam-6556	748	20	la	la	X
ejpam-6556	748	21	=	=	SYM
ejpam-6556	748	22	0	0	PROPN
ejpam-6556	748	23	,	,	PUNCT
ejpam-6556	748	24	lb	lb	NOUN
ejpam-6556	748	25	=	=	SYM
ejpam-6556	748	26	1	1	NUM
ejpam-6556	748	27	λ	λ	PROPN
ejpam-6556	748	28	,	,	PUNCT
ejpam-6556	748	29	∆ϱϵ,σ(lb	∆ϱϵ,σ(lb	PROPN
ejpam-6556	748	30	)	)	PUNCT
ejpam-6556	748	31	=	=	SYM
ejpam-6556	748	32	eα	eα	PROPN
ejpam-6556	748	33	(	(	PUNCT
ejpam-6556	748	34	1	1	NUM
ejpam-6556	748	35	λ	λ	NOUN
ejpam-6556	748	36	)	)	PUNCT
ejpam-6556	748	37	,	,	PUNCT
ejpam-6556	748	38	and	and	CCONJ
ejpam-6556	748	39	recall	recall	VERB
ejpam-6556	748	40	λ(x	λ(x	PROPN
ejpam-6556	748	41	)	)	PUNCT
ejpam-6556	749	1	=	=	PUNCT
ejpam-6556	750	1	λx−	λx−	NUM
ejpam-6556	750	2	log	log	NOUN
ejpam-6556	750	3	λ	λ	NOUN
ejpam-6556	750	4	.	.	PUNCT
ejpam-6556	751	1	thus	thus	ADV
ejpam-6556	751	2	,	,	PUNCT
ejpam-6556	751	3	λ	λ	PROPN
ejpam-6556	751	4	(	(	PUNCT
ejpam-6556	751	5	eα	eα	PROPN
ejpam-6556	751	6	(	(	PUNCT
ejpam-6556	751	7	1	1	NUM
ejpam-6556	751	8	λ	λ	NOUN
ejpam-6556	751	9	)	)	PUNCT
ejpam-6556	751	10	2	2	NUM
ejpam-6556	751	11	)	)	PUNCT
ejpam-6556	751	12	=	=	PUNCT
ejpam-6556	751	13	λ	λ	PROPN
ejpam-6556	751	14	·	·	PUNCT
ejpam-6556	751	15	eα	eα	PROPN
ejpam-6556	751	16	(	(	PUNCT
ejpam-6556	751	17	1	1	NUM
ejpam-6556	751	18	λ	λ	NOUN
ejpam-6556	751	19	)	)	PUNCT
ejpam-6556	751	20	2	2	NUM
ejpam-6556	751	21	−	−	NOUN
ejpam-6556	751	22	log	log	NOUN
ejpam-6556	751	23	λ	λ	PROPN
ejpam-6556	751	24	,	,	PUNCT
ejpam-6556	751	25	and	and	CCONJ
ejpam-6556	751	26	λ(0	λ(0	PROPN
ejpam-6556	751	27	)	)	PUNCT
ejpam-6556	752	1	+	+	NUM
ejpam-6556	752	2	λ	λ	X
ejpam-6556	752	3	(	(	PUNCT
ejpam-6556	752	4	1	1	NUM
ejpam-6556	752	5	λ	λ	NOUN
ejpam-6556	752	6	)	)	PUNCT
ejpam-6556	752	7	2	2	NUM
ejpam-6556	752	8	=	=	SYM
ejpam-6556	752	9	(	(	PUNCT
ejpam-6556	752	10	−	−	PROPN
ejpam-6556	752	11	log	log	PROPN
ejpam-6556	752	12	λ	λ	NOUN
ejpam-6556	752	13	)	)	PUNCT
ejpam-6556	752	14	+	+	CCONJ
ejpam-6556	752	15	(	(	PUNCT
ejpam-6556	752	16	1−	1−	NUM
ejpam-6556	752	17	log	log	PROPN
ejpam-6556	752	18	λ	λ	NOUN
ejpam-6556	752	19	)	)	PUNCT
ejpam-6556	752	20	2	2	NUM
ejpam-6556	752	21	=	=	SYM
ejpam-6556	752	22	1−	1−	NUM
ejpam-6556	752	23	2	2	NUM
ejpam-6556	752	24	log	log	NOUN
ejpam-6556	752	25	λ	λ	NOUN
ejpam-6556	752	26	2	2	NUM
ejpam-6556	752	27	.	.	PUNCT
ejpam-6556	753	1	therefore	therefore	ADV
ejpam-6556	753	2	,	,	PUNCT
ejpam-6556	753	3	inequality	inequality	NOUN
ejpam-6556	753	4	(	(	PUNCT
ejpam-6556	753	5	7.1	7.1	NUM
ejpam-6556	753	6	)	)	PUNCT
ejpam-6556	753	7	becomes	become	VERB
ejpam-6556	753	8	λ	λ	PROPN
ejpam-6556	753	9	·	·	PUNCT
ejpam-6556	753	10	eα	eα	PROPN
ejpam-6556	753	11	(	(	PUNCT
ejpam-6556	753	12	1	1	NUM
ejpam-6556	753	13	λ	λ	NOUN
ejpam-6556	753	14	)	)	PUNCT
ejpam-6556	753	15	2	2	NUM
ejpam-6556	753	16	−	−	NOUN
ejpam-6556	753	17	log	log	NOUN
ejpam-6556	753	18	λ	λ	NOUN
ejpam-6556	753	19	≤	≤	NUM
ejpam-6556	753	20	(	(	PUNCT
ejpam-6556	753	21	fractional	fractional	ADJ
ejpam-6556	753	22	ab	ab	ADJ
ejpam-6556	753	23	integral	integral	ADJ
ejpam-6556	753	24	expression	expression	NOUN
ejpam-6556	753	25	)	)	PUNCT
ejpam-6556	753	26	≤	≤	NUM
ejpam-6556	753	27	1−	1−	NUM
ejpam-6556	753	28	2	2	NUM
ejpam-6556	753	29	log	log	NOUN
ejpam-6556	753	30	λ	λ	NOUN
ejpam-6556	753	31	2	2	NUM
ejpam-6556	753	32	.	.	PUNCT
ejpam-6556	754	1	this	this	DET
ejpam-6556	754	2	inequality	inequality	NOUN
ejpam-6556	754	3	provides	provide	VERB
ejpam-6556	754	4	fractional	fractional	ADJ
ejpam-6556	754	5	integral	integral	ADJ
ejpam-6556	754	6	bounds	bound	NOUN
ejpam-6556	754	7	on	on	ADP
ejpam-6556	754	8	the	the	DET
ejpam-6556	754	9	entropy	entropy	ADV
ejpam-6556	754	10	-	-	PUNCT
ejpam-6556	754	11	related	relate	VERB
ejpam-6556	754	12	function	function	NOUN
ejpam-6556	754	13	λ	λ	NOUN
ejpam-6556	754	14	,	,	PUNCT
ejpam-6556	754	15	linking	link	VERB
ejpam-6556	754	16	fractional	fractional	ADJ
ejpam-6556	754	17	calculus	calculus	NOUN
ejpam-6556	754	18	,	,	PUNCT
ejpam-6556	754	19	mittag	mittag	ADJ
ejpam-6556	754	20	-	-	PUNCT
ejpam-6556	754	21	leffler	leffler	NOUN
ejpam-6556	754	22	functions	function	NOUN
ejpam-6556	754	23	,	,	PUNCT
ejpam-6556	754	24	and	and	CCONJ
ejpam-6556	754	25	information	information	NOUN
ejpam-6556	754	26	-	-	PUNCT
ejpam-6556	754	27	theoretic	theoretic	NOUN
ejpam-6556	754	28	measures	measure	NOUN
ejpam-6556	754	29	.	.	PUNCT
ejpam-6556	755	1	8	8	X
ejpam-6556	755	2	.	.	PUNCT
ejpam-6556	755	3	conclusions	conclusion	NOUN
ejpam-6556	755	4	fractional	fractional	PROPN
ejpam-6556	755	5	calculus	calculus	PROPN
ejpam-6556	755	6	has	have	AUX
ejpam-6556	755	7	attracted	attract	VERB
ejpam-6556	755	8	considerable	considerable	ADJ
ejpam-6556	755	9	attention	attention	NOUN
ejpam-6556	755	10	from	from	ADP
ejpam-6556	755	11	researchers	researcher	NOUN
ejpam-6556	755	12	and	and	CCONJ
ejpam-6556	755	13	scholars	scholar	NOUN
ejpam-6556	755	14	across	across	ADP
ejpam-6556	755	15	a	a	DET
ejpam-6556	755	16	wide	wide	ADJ
ejpam-6556	755	17	range	range	NOUN
ejpam-6556	755	18	of	of	ADP
ejpam-6556	755	19	disciplines	discipline	NOUN
ejpam-6556	755	20	.	.	PUNCT
ejpam-6556	756	1	at	at	ADP
ejpam-6556	756	2	the	the	DET
ejpam-6556	756	3	same	same	ADJ
ejpam-6556	756	4	time	time	NOUN
ejpam-6556	756	5	,	,	PUNCT
ejpam-6556	756	6	convexity	convexity	NOUN
ejpam-6556	756	7	theory	theory	NOUN
ejpam-6556	756	8	has	have	AUX
ejpam-6556	756	9	emerged	emerge	VERB
ejpam-6556	756	10	as	as	ADP
ejpam-6556	756	11	a	a	DET
ejpam-6556	756	12	powerful	powerful	ADJ
ejpam-6556	756	13	analytical	analytical	ADJ
ejpam-6556	756	14	framework	framework	NOUN
ejpam-6556	756	15	for	for	ADP
ejpam-6556	756	16	constructing	construct	VERB
ejpam-6556	756	17	novel	novel	ADJ
ejpam-6556	756	18	numerical	numerical	ADJ
ejpam-6556	756	19	models	model	NOUN
ejpam-6556	756	20	that	that	PRON
ejpam-6556	756	21	address	address	VERB
ejpam-6556	756	22	complex	complex	ADJ
ejpam-6556	756	23	problems	problem	NOUN
ejpam-6556	756	24	in	in	ADP
ejpam-6556	756	25	both	both	CCONJ
ejpam-6556	756	26	pure	pure	ADJ
ejpam-6556	756	27	and	and	CCONJ
ejpam-6556	756	28	applied	applied	ADJ
ejpam-6556	756	29	sciences	science	NOUN
ejpam-6556	756	30	.	.	PUNCT
ejpam-6556	757	1	the	the	DET
ejpam-6556	757	2	growing	grow	VERB
ejpam-6556	757	3	interest	interest	NOUN
ejpam-6556	757	4	in	in	ADP
ejpam-6556	757	5	convex	convex	ADJ
ejpam-6556	757	6	analysis	analysis	NOUN
ejpam-6556	757	7	and	and	CCONJ
ejpam-6556	757	8	its	its	PRON
ejpam-6556	757	9	related	related	ADJ
ejpam-6556	757	10	inequalities	inequality	NOUN
ejpam-6556	757	11	is	be	AUX
ejpam-6556	757	12	driven	drive	VERB
ejpam-6556	757	13	by	by	ADP
ejpam-6556	757	14	ongoing	ongoing	ADJ
ejpam-6556	757	15	theoretical	theoretical	ADJ
ejpam-6556	757	16	advancements	advancement	NOUN
ejpam-6556	757	17	,	,	PUNCT
ejpam-6556	757	18	generalizations	generalization	NOUN
ejpam-6556	757	19	,	,	PUNCT
ejpam-6556	757	20	and	and	CCONJ
ejpam-6556	757	21	diverse	diverse	ADJ
ejpam-6556	757	22	applications	application	NOUN
ejpam-6556	757	23	.	.	PUNCT
ejpam-6556	758	1	in	in	ADP
ejpam-6556	758	2	this	this	DET
ejpam-6556	758	3	work	work	NOUN
ejpam-6556	758	4	,	,	PUNCT
ejpam-6556	758	5	we	we	PRON
ejpam-6556	758	6	first	first	ADV
ejpam-6556	758	7	present	present	VERB
ejpam-6556	758	8	a	a	DET
ejpam-6556	758	9	novel	novel	ADJ
ejpam-6556	758	10	approach	approach	NOUN
ejpam-6556	758	11	to	to	ADP
ejpam-6556	758	12	the	the	DET
ejpam-6556	758	13	hermite	hermite	ADJ
ejpam-6556	758	14	–	–	PUNCT
ejpam-6556	758	15	hadamard	hadamard	ADJ
ejpam-6556	758	16	inequality	inequality	NOUN
ejpam-6556	758	17	via	via	ADP
ejpam-6556	758	18	generalized	generalized	ADJ
ejpam-6556	758	19	convex	convex	NOUN
ejpam-6556	758	20	functions	function	NOUN
ejpam-6556	758	21	(	(	PUNCT
ejpam-6556	758	22	gcf	gcf	PROPN
ejpam-6556	758	23	)	)	PUNCT
ejpam-6556	758	24	over	over	ADP
ejpam-6556	758	25	the	the	DET
ejpam-6556	758	26	atangana	atangana	PROPN
ejpam-6556	758	27	–	–	PUNCT
ejpam-6556	758	28	baleanu	baleanu	ADJ
ejpam-6556	758	29	fractional	fractional	ADJ
ejpam-6556	758	30	integral	integral	ADJ
ejpam-6556	758	31	operator	operator	NOUN
ejpam-6556	758	32	(	(	PUNCT
ejpam-6556	758	33	abfio	abfio	PROPN
ejpam-6556	758	34	)	)	PUNCT
ejpam-6556	758	35	,	,	PUNCT
ejpam-6556	758	36	accompanied	accompany	VERB
ejpam-6556	758	37	by	by	ADP
ejpam-6556	758	38	several	several	ADJ
ejpam-6556	758	39	remarks	remark	NOUN
ejpam-6556	758	40	and	and	CCONJ
ejpam-6556	758	41	corollaries	corollary	NOUN
ejpam-6556	758	42	.	.	PUNCT
ejpam-6556	759	1	secondly	secondly	ADV
ejpam-6556	759	2	,	,	PUNCT
ejpam-6556	759	3	we	we	PRON
ejpam-6556	759	4	establish	establish	VERB
ejpam-6556	759	5	a	a	DET
ejpam-6556	759	6	new	new	ADJ
ejpam-6556	759	7	identity	identity	NOUN
ejpam-6556	759	8	involving	involve	VERB
ejpam-6556	759	9	the	the	DET
ejpam-6556	759	10	raina	raina	PROPN
ejpam-6556	759	11	function	function	PROPN
ejpam-6556	759	12	and	and	CCONJ
ejpam-6556	759	13	derive	derive	VERB
ejpam-6556	759	14	refined	refined	ADJ
ejpam-6556	759	15	versions	version	NOUN
ejpam-6556	759	16	of	of	ADP
ejpam-6556	759	17	the	the	DET
ejpam-6556	759	18	hermite	hermite	ADJ
ejpam-6556	759	19	–	–	PUNCT
ejpam-6556	759	20	hadamard	hadamard	ADJ
ejpam-6556	759	21	inequality	inequality	NOUN
ejpam-6556	759	22	using	use	VERB
ejpam-6556	759	23	classical	classical	ADJ
ejpam-6556	759	24	tools	tool	NOUN
ejpam-6556	759	25	such	such	ADJ
ejpam-6556	759	26	as	as	ADP
ejpam-6556	759	27	hölder	hölder	NOUN
ejpam-6556	759	28	’s	’s	PART
ejpam-6556	759	29	inequality	inequality	NOUN
ejpam-6556	759	30	,	,	PUNCT
ejpam-6556	759	31	the	the	DET
ejpam-6556	759	32	power	power	NOUN
ejpam-6556	759	33	mean	mean	VERB
ejpam-6556	759	34	inequality	inequality	NOUN
ejpam-6556	759	35	,	,	PUNCT
ejpam-6556	759	36	and	and	CCONJ
ejpam-6556	759	37	young	young	ADJ
ejpam-6556	759	38	’s	’s	PART
ejpam-6556	759	39	inequality	inequality	NOUN
ejpam-6556	759	40	.	.	PUNCT
ejpam-6556	760	1	thirdly	thirdly	ADV
ejpam-6556	760	2	,	,	PUNCT
ejpam-6556	760	3	we	we	PRON
ejpam-6556	760	4	propose	propose	VERB
ejpam-6556	760	5	a	a	DET
ejpam-6556	760	6	new	new	ADJ
ejpam-6556	760	7	modification	modification	NOUN
ejpam-6556	760	8	of	of	ADP
ejpam-6556	760	9	a	a	DET
ejpam-6556	760	10	pachpatte	pachpatte	NOUN
ejpam-6556	760	11	-	-	PUNCT
ejpam-6556	760	12	type	type	NOUN
ejpam-6556	760	13	inequality	inequality	NOUN
ejpam-6556	760	14	based	base	VERB
ejpam-6556	760	15	on	on	ADP
ejpam-6556	760	16	a	a	DET
ejpam-6556	760	17	recently	recently	ADV
ejpam-6556	760	18	introduced	introduce	VERB
ejpam-6556	760	19	concept	concept	NOUN
ejpam-6556	760	20	within	within	ADP
ejpam-6556	760	21	the	the	DET
ejpam-6556	760	22	m.	m.	NOUN
ejpam-6556	760	23	tariq	tariq	PROPN
ejpam-6556	760	24	et	et	PROPN
ejpam-6556	760	25	al	al	PROPN
ejpam-6556	760	26	.	.	PUNCT
ejpam-6556	760	27	/	/	SYM
ejpam-6556	760	28	eur	eur	PROPN
ejpam-6556	760	29	.	.	PUNCT
ejpam-6556	761	1	j.	j.	PROPN
ejpam-6556	761	2	pure	pure	PROPN
ejpam-6556	761	3	appl	appl	PROPN
ejpam-6556	761	4	.	.	PROPN
ejpam-6556	761	5	math	math	PROPN
ejpam-6556	761	6	,	,	PUNCT
ejpam-6556	761	7	18	18	NUM
ejpam-6556	761	8	(	(	PUNCT
ejpam-6556	761	9	3	3	NUM
ejpam-6556	761	10	)	)	PUNCT
ejpam-6556	761	11	(	(	PUNCT
ejpam-6556	761	12	2025	2025	NUM
ejpam-6556	761	13	)	)	PUNCT
ejpam-6556	761	14	,	,	PUNCT
ejpam-6556	761	15	6556	6556	NUM
ejpam-6556	761	16	25	25	NUM
ejpam-6556	761	17	of	of	ADP
ejpam-6556	761	18	28	28	NUM
ejpam-6556	761	19	abfio	abfio	NOUN
ejpam-6556	761	20	framework	framework	NOUN
ejpam-6556	761	21	.	.	PUNCT
ejpam-6556	762	1	moreover	moreover	ADV
ejpam-6556	762	2	,	,	PUNCT
ejpam-6556	762	3	the	the	DET
ejpam-6556	762	4	established	establish	VERB
ejpam-6556	762	5	inequalities	inequality	NOUN
ejpam-6556	762	6	have	have	VERB
ejpam-6556	762	7	potential	potential	ADJ
ejpam-6556	762	8	implications	implication	NOUN
ejpam-6556	762	9	in	in	ADP
ejpam-6556	762	10	the	the	DET
ejpam-6556	762	11	contexts	context	NOUN
ejpam-6556	762	12	of	of	ADP
ejpam-6556	762	13	interval	interval	NOUN
ejpam-6556	762	14	analysis	analysis	NOUN
ejpam-6556	762	15	and	and	CCONJ
ejpam-6556	762	16	quantum	quantum	NOUN
ejpam-6556	762	17	calculus	calculus	NOUN
ejpam-6556	762	18	.	.	PUNCT
ejpam-6556	763	1	integral	integral	ADJ
ejpam-6556	763	2	inequalities	inequality	NOUN
ejpam-6556	763	3	,	,	PUNCT
ejpam-6556	763	4	in	in	ADP
ejpam-6556	763	5	particular	particular	ADJ
ejpam-6556	763	6	,	,	PUNCT
ejpam-6556	763	7	represent	represent	VERB
ejpam-6556	763	8	a	a	DET
ejpam-6556	763	9	rapidly	rapidly	ADV
ejpam-6556	763	10	evolving	evolve	VERB
ejpam-6556	763	11	area	area	NOUN
ejpam-6556	763	12	of	of	ADP
ejpam-6556	763	13	research	research	NOUN
ejpam-6556	763	14	.	.	PUNCT
ejpam-6556	764	1	the	the	DET
ejpam-6556	764	2	integration	integration	NOUN
ejpam-6556	764	3	of	of	ADP
ejpam-6556	764	4	interval	interval	NOUN
ejpam-6556	764	5	-	-	PUNCT
ejpam-6556	764	6	valued	value	VERB
ejpam-6556	764	7	analysis	analysis	NOUN
ejpam-6556	764	8	and	and	CCONJ
ejpam-6556	764	9	quantum	quantum	NOUN
ejpam-6556	764	10	calculus	calculus	NOUN
ejpam-6556	764	11	into	into	ADP
ejpam-6556	764	12	this	this	DET
ejpam-6556	764	13	field	field	NOUN
ejpam-6556	764	14	opens	open	VERB
ejpam-6556	764	15	up	up	ADP
ejpam-6556	764	16	intriguing	intriguing	ADJ
ejpam-6556	764	17	avenues	avenue	NOUN
ejpam-6556	764	18	for	for	ADP
ejpam-6556	764	19	further	further	ADJ
ejpam-6556	764	20	development	development	NOUN
ejpam-6556	764	21	,	,	PUNCT
ejpam-6556	764	22	likely	likely	ADJ
ejpam-6556	764	23	to	to	PART
ejpam-6556	764	24	captivate	captivate	VERB
ejpam-6556	764	25	future	future	ADJ
ejpam-6556	764	26	investigations	investigation	NOUN
ejpam-6556	764	27	.	.	PUNCT
ejpam-6556	765	1	acknowledgements	acknowledgement	NOUN
ejpam-6556	765	2	the	the	DET
ejpam-6556	765	3	authors	author	NOUN
ejpam-6556	765	4	would	would	AUX
ejpam-6556	765	5	like	like	VERB
ejpam-6556	765	6	to	to	PART
ejpam-6556	765	7	thank	thank	VERB
ejpam-6556	765	8	the	the	DET
ejpam-6556	765	9	anonymous	anonymous	ADJ
ejpam-6556	765	10	reviewers	reviewer	NOUN
ejpam-6556	765	11	for	for	ADP
ejpam-6556	765	12	their	their	PRON
ejpam-6556	765	13	valuable	valuable	ADJ
ejpam-6556	765	14	suggestions	suggestion	NOUN
ejpam-6556	765	15	and	and	CCONJ
ejpam-6556	765	16	comments	comment	NOUN
ejpam-6556	765	17	,	,	PUNCT
ejpam-6556	765	18	which	which	PRON
ejpam-6556	765	19	helped	help	VERB
ejpam-6556	765	20	to	to	PART
ejpam-6556	765	21	improve	improve	VERB
ejpam-6556	765	22	the	the	DET
ejpam-6556	765	23	quality	quality	NOUN
ejpam-6556	765	24	of	of	ADP
ejpam-6556	765	25	this	this	DET
ejpam-6556	765	26	manuscript	manuscript	NOUN
ejpam-6556	765	27	.	.	PUNCT
ejpam-6556	766	1	references	reference	NOUN
ejpam-6556	766	2	[	[	X
ejpam-6556	766	3	1	1	X
ejpam-6556	766	4	]	]	PUNCT
ejpam-6556	766	5	godfrey	godfrey	PROPN
ejpam-6556	766	6	harold	harold	PROPN
ejpam-6556	766	7	hardy	hardy	PROPN
ejpam-6556	766	8	,	,	PUNCT
ejpam-6556	766	9	john	john	PROPN
ejpam-6556	766	10	edensor	edensor	PROPN
ejpam-6556	766	11	littlewood	littlewood	PROPN
ejpam-6556	766	12	,	,	PUNCT
ejpam-6556	766	13	and	and	CCONJ
ejpam-6556	766	14	george	george	PROPN
ejpam-6556	766	15	pólya	pólya	PROPN
ejpam-6556	766	16	.	.	PUNCT
ejpam-6556	767	1	inequalities	inequality	NOUN
ejpam-6556	767	2	.	.	PUNCT
ejpam-6556	768	1	cambridge	cambridge	PROPN
ejpam-6556	768	2	university	university	PROPN
ejpam-6556	768	3	press	press	NOUN
ejpam-6556	768	4	,	,	PUNCT
ejpam-6556	768	5	1952	1952	NUM
ejpam-6556	768	6	.	.	PUNCT
ejpam-6556	769	1	[	[	X
ejpam-6556	769	2	2	2	X
ejpam-6556	769	3	]	]	PUNCT
ejpam-6556	769	4	j.	j.	PROPN
ejpam-6556	769	5	pelczynski	pelczynski	PROPN
ejpam-6556	769	6	.	.	PUNCT
ejpam-6556	770	1	application	application	NOUN
ejpam-6556	770	2	of	of	ADP
ejpam-6556	770	3	the	the	DET
ejpam-6556	770	4	theory	theory	NOUN
ejpam-6556	770	5	of	of	ADP
ejpam-6556	770	6	convex	convex	PROPN
ejpam-6556	770	7	sets	set	NOUN
ejpam-6556	770	8	for	for	ADP
ejpam-6556	770	9	engineering	engineering	NOUN
ejpam-6556	770	10	structures	structure	NOUN
ejpam-6556	770	11	with	with	ADP
ejpam-6556	770	12	uncertain	uncertain	ADJ
ejpam-6556	770	13	parameters	parameter	NOUN
ejpam-6556	770	14	.	.	PUNCT
ejpam-6556	771	1	applied	apply	VERB
ejpam-6556	771	2	sciences	science	NOUN
ejpam-6556	771	3	,	,	PUNCT
ejpam-6556	771	4	10:6864	10:6864	NUM
ejpam-6556	771	5	,	,	PUNCT
ejpam-6556	771	6	2020	2020	NUM
ejpam-6556	771	7	.	.	PUNCT
ejpam-6556	772	1	[	[	X
ejpam-6556	772	2	3	3	NUM
ejpam-6556	772	3	]	]	X
ejpam-6556	772	4	waqar	waqar	PROPN
ejpam-6556	772	5	afzal	afzal	PROPN
ejpam-6556	772	6	,	,	PUNCT
ejpam-6556	772	7	mujahid	mujahid	PROPN
ejpam-6556	772	8	abbas	abbas	PROPN
ejpam-6556	772	9	,	,	PUNCT
ejpam-6556	772	10	waleed	waleed	PROPN
ejpam-6556	772	11	hamali	hamali	PROPN
ejpam-6556	772	12	,	,	PUNCT
ejpam-6556	772	13	ali	ali	PROPN
ejpam-6556	772	14	m	m	PROPN
ejpam-6556	772	15	mahnashi	mahnashi	PROPN
ejpam-6556	772	16	,	,	PUNCT
ejpam-6556	772	17	and	and	CCONJ
ejpam-6556	772	18	m	m	PROPN
ejpam-6556	772	19	de	de	X
ejpam-6556	772	20	la	la	PROPN
ejpam-6556	772	21	sen	sen	PROPN
ejpam-6556	772	22	.	.	PROPN
ejpam-6556	772	23	hermite	hermite	PROPN
ejpam-6556	772	24	–	–	PUNCT
ejpam-6556	772	25	hadamard	hadamard	ADJ
ejpam-6556	772	26	-	-	PUNCT
ejpam-6556	772	27	type	type	NOUN
ejpam-6556	772	28	inequalities	inequality	NOUN
ejpam-6556	772	29	via	via	ADP
ejpam-6556	772	30	caputo	caputo	PROPN
ejpam-6556	772	31	–	–	PUNCT
ejpam-6556	772	32	fabrizio	fabrizio	PROPN
ejpam-6556	772	33	fractional	fractional	NOUN
ejpam-6556	772	34	integral	integral	ADJ
ejpam-6556	772	35	for	for	ADP
ejpam-6556	772	36	hgodunova	hgodunova	PROPN
ejpam-6556	772	37	–	–	PUNCT
ejpam-6556	772	38	levin	levin	PROPN
ejpam-6556	772	39	and	and	CCONJ
ejpam-6556	772	40	(	(	PUNCT
ejpam-6556	772	41	h1	h1	PROPN
ejpam-6556	772	42	,	,	PUNCT
ejpam-6556	772	43	h2)-convex	h2)-convex	NOUN
ejpam-6556	772	44	functions	function	NOUN
ejpam-6556	772	45	.	.	PUNCT
ejpam-6556	773	1	fractal	fractal	ADJ
ejpam-6556	773	2	and	and	CCONJ
ejpam-6556	773	3	fractional	fractional	ADJ
ejpam-6556	773	4	,	,	PUNCT
ejpam-6556	773	5	7(9):687	7(9):687	NUM
ejpam-6556	773	6	,	,	PUNCT
ejpam-6556	773	7	2023	2023	NUM
ejpam-6556	773	8	.	.	PUNCT
ejpam-6556	774	1	[	[	X
ejpam-6556	774	2	4	4	X
ejpam-6556	774	3	]	]	X
ejpam-6556	774	4	xiaoju	xiaoju	PROPN
ejpam-6556	774	5	zhang	zhang	PROPN
ejpam-6556	774	6	,	,	PUNCT
ejpam-6556	774	7	khurram	khurram	PROPN
ejpam-6556	774	8	shabbir	shabbir	PROPN
ejpam-6556	774	9	,	,	PUNCT
ejpam-6556	774	10	waqar	waqar	PROPN
ejpam-6556	774	11	afzal	afzal	PROPN
ejpam-6556	774	12	,	,	PUNCT
ejpam-6556	774	13	he	he	PRON
ejpam-6556	774	14	xiao	xiao	PROPN
ejpam-6556	774	15	,	,	PUNCT
ejpam-6556	774	16	and	and	CCONJ
ejpam-6556	774	17	dong	dong	PROPN
ejpam-6556	774	18	lin	lin	PROPN
ejpam-6556	774	19	.	.	PUNCT
ejpam-6556	775	1	hermite	hermite	PROPN
ejpam-6556	775	2	–	–	PUNCT
ejpam-6556	775	3	hadamard	hadamard	NOUN
ejpam-6556	775	4	and	and	CCONJ
ejpam-6556	775	5	jensen	jensen	PROPN
ejpam-6556	775	6	-	-	PUNCT
ejpam-6556	775	7	type	type	NOUN
ejpam-6556	775	8	inequalities	inequality	NOUN
ejpam-6556	775	9	via	via	ADP
ejpam-6556	775	10	riemann	riemann	PROPN
ejpam-6556	775	11	integral	integral	ADJ
ejpam-6556	775	12	operator	operator	NOUN
ejpam-6556	775	13	for	for	ADP
ejpam-6556	775	14	a	a	DET
ejpam-6556	775	15	generalized	generalized	ADJ
ejpam-6556	775	16	class	class	NOUN
ejpam-6556	775	17	of	of	ADP
ejpam-6556	775	18	godunova	godunova	PROPN
ejpam-6556	775	19	–	–	PUNCT
ejpam-6556	775	20	levin	levin	PROPN
ejpam-6556	775	21	functions	function	NOUN
ejpam-6556	775	22	.	.	PUNCT
ejpam-6556	776	1	volume	volume	NOUN
ejpam-6556	776	2	2022	2022	NUM
ejpam-6556	776	3	,	,	PUNCT
ejpam-6556	776	4	page	page	NOUN
ejpam-6556	776	5	3830324	3830324	NUM
ejpam-6556	776	6	.	.	PUNCT
ejpam-6556	777	1	wiley	wiley	PROPN
ejpam-6556	777	2	online	online	PROPN
ejpam-6556	777	3	library	library	PROPN
ejpam-6556	777	4	,	,	PUNCT
ejpam-6556	777	5	2022	2022	NUM
ejpam-6556	777	6	.	.	PUNCT
ejpam-6556	778	1	[	[	X
ejpam-6556	778	2	5	5	X
ejpam-6556	778	3	]	]	X
ejpam-6556	778	4	abdullah	abdullah	PROPN
ejpam-6556	778	5	ali	ali	PROPN
ejpam-6556	778	6	h	h	PROPN
ejpam-6556	778	7	ahmadini	ahmadini	PROPN
ejpam-6556	778	8	,	,	PUNCT
ejpam-6556	778	9	waqar	waqar	PROPN
ejpam-6556	778	10	afzal	afzal	PROPN
ejpam-6556	778	11	,	,	PUNCT
ejpam-6556	778	12	mujahid	mujahid	NOUN
ejpam-6556	778	13	abbas	abbas	NOUN
ejpam-6556	778	14	,	,	PUNCT
ejpam-6556	778	15	and	and	CCONJ
ejpam-6556	778	16	elkhateeb	elkhateeb	PROPN
ejpam-6556	778	17	s	s	PROPN
ejpam-6556	778	18	aly	aly	PROPN
ejpam-6556	778	19	.	.	PROPN
ejpam-6556	779	1	weighted	weight	VERB
ejpam-6556	779	2	fejér	fejér	NOUN
ejpam-6556	779	3	,	,	PUNCT
ejpam-6556	779	4	hermite	hermite	ADJ
ejpam-6556	779	5	–	–	PUNCT
ejpam-6556	779	6	hadamard	hadamard	ADJ
ejpam-6556	779	7	,	,	PUNCT
ejpam-6556	779	8	and	and	CCONJ
ejpam-6556	779	9	trapezium	trapezium	NOUN
ejpam-6556	779	10	-	-	PUNCT
ejpam-6556	779	11	type	type	NOUN
ejpam-6556	779	12	inequalities	inequality	NOUN
ejpam-6556	779	13	for	for	ADP
ejpam-6556	779	14	(	(	PUNCT
ejpam-6556	779	15	h1	h1	PROPN
ejpam-6556	779	16	,	,	PUNCT
ejpam-6556	779	17	h2	h2	PROPN
ejpam-6556	779	18	)	)	PUNCT
ejpam-6556	779	19	–	–	PUNCT
ejpam-6556	779	20	godunova	godunova	PROPN
ejpam-6556	779	21	–	–	PUNCT
ejpam-6556	779	22	levin	levin	PROPN
ejpam-6556	779	23	preinvex	preinvex	PROPN
ejpam-6556	779	24	function	function	NOUN
ejpam-6556	779	25	with	with	ADP
ejpam-6556	779	26	applications	application	NOUN
ejpam-6556	779	27	and	and	CCONJ
ejpam-6556	779	28	two	two	NUM
ejpam-6556	779	29	open	open	ADJ
ejpam-6556	779	30	problems	problem	NOUN
ejpam-6556	779	31	.	.	PUNCT
ejpam-6556	780	1	mathematics	mathematic	NOUN
ejpam-6556	780	2	,	,	PUNCT
ejpam-6556	780	3	12(3):382	12(3):382	NUM
ejpam-6556	780	4	,	,	PUNCT
ejpam-6556	780	5	2024	2024	NUM
ejpam-6556	780	6	.	.	PUNCT
ejpam-6556	781	1	[	[	X
ejpam-6556	781	2	6	6	NUM
ejpam-6556	781	3	]	]	PUNCT
ejpam-6556	781	4	pietro	pietro	NOUN
ejpam-6556	781	5	cerone	cerone	NOUN
ejpam-6556	781	6	and	and	CCONJ
ejpam-6556	781	7	sever	sever	VERB
ejpam-6556	781	8	s	s	VERB
ejpam-6556	781	9	dragomir	dragomir	ADJ
ejpam-6556	781	10	.	.	PUNCT
ejpam-6556	781	11	trapezoidal	trapezoidal	ADJ
ejpam-6556	781	12	-	-	PUNCT
ejpam-6556	781	13	type	type	NOUN
ejpam-6556	781	14	rules	rule	NOUN
ejpam-6556	781	15	from	from	ADP
ejpam-6556	781	16	an	an	DET
ejpam-6556	781	17	inequalities	inequality	NOUN
ejpam-6556	781	18	point	point	NOUN
ejpam-6556	781	19	of	of	ADP
ejpam-6556	781	20	view	view	NOUN
ejpam-6556	781	21	.	.	PUNCT
ejpam-6556	782	1	in	in	ADP
ejpam-6556	782	2	handbook	handbook	NOUN
ejpam-6556	782	3	of	of	ADP
ejpam-6556	782	4	analytic	analytic	ADJ
ejpam-6556	782	5	computational	computational	ADJ
ejpam-6556	782	6	methods	method	NOUN
ejpam-6556	782	7	in	in	ADP
ejpam-6556	782	8	applied	applied	ADJ
ejpam-6556	782	9	mathematics	mathematic	NOUN
ejpam-6556	782	10	,	,	PUNCT
ejpam-6556	782	11	pages	page	NOUN
ejpam-6556	782	12	65–134	65–134	NUM
ejpam-6556	782	13	.	.	PUNCT
ejpam-6556	783	1	chapman	chapman	NOUN
ejpam-6556	783	2	and	and	CCONJ
ejpam-6556	783	3	hall	hall	PROPN
ejpam-6556	783	4	/	/	SYM
ejpam-6556	783	5	crc	crc	NOUN
ejpam-6556	783	6	,	,	PUNCT
ejpam-6556	783	7	2019	2019	NUM
ejpam-6556	783	8	.	.	PUNCT
ejpam-6556	784	1	[	[	X
ejpam-6556	784	2	7	7	X
ejpam-6556	784	3	]	]	PUNCT
ejpam-6556	784	4	zareen	zareen	X
ejpam-6556	784	5	a	a	DET
ejpam-6556	784	6	khan	khan	PROPN
ejpam-6556	784	7	,	,	PUNCT
ejpam-6556	784	8	waqar	waqar	PROPN
ejpam-6556	784	9	afzal	afzal	PROPN
ejpam-6556	784	10	,	,	PUNCT
ejpam-6556	784	11	mujahid	mujahid	NOUN
ejpam-6556	784	12	abbas	abbas	PROPN
ejpam-6556	784	13	,	,	PUNCT
ejpam-6556	784	14	jongsuk	jongsuk	PROPN
ejpam-6556	784	15	ro	ro	NOUN
ejpam-6556	784	16	,	,	PUNCT
ejpam-6556	784	17	and	and	CCONJ
ejpam-6556	784	18	najla	najla	ADJ
ejpam-6556	784	19	m	m	PROPN
ejpam-6556	784	20	aloraini	aloraini	PROPN
ejpam-6556	784	21	.	.	PUNCT
ejpam-6556	785	1	a	a	DET
ejpam-6556	785	2	novel	novel	ADJ
ejpam-6556	785	3	fractional	fractional	ADJ
ejpam-6556	785	4	approach	approach	NOUN
ejpam-6556	785	5	to	to	ADP
ejpam-6556	785	6	finding	find	VERB
ejpam-6556	785	7	the	the	DET
ejpam-6556	785	8	upper	upper	ADJ
ejpam-6556	785	9	bounds	bound	NOUN
ejpam-6556	785	10	of	of	ADP
ejpam-6556	785	11	simpson	simpson	NOUN
ejpam-6556	785	12	and	and	CCONJ
ejpam-6556	785	13	hermitehadamard	hermitehadamard	NOUN
ejpam-6556	785	14	-	-	PUNCT
ejpam-6556	785	15	type	type	NOUN
ejpam-6556	785	16	inequalities	inequality	NOUN
ejpam-6556	785	17	in	in	ADP
ejpam-6556	785	18	tensorial	tensorial	ADJ
ejpam-6556	785	19	hilbert	hilbert	NOUN
ejpam-6556	785	20	spaces	space	NOUN
ejpam-6556	785	21	by	by	ADP
ejpam-6556	785	22	using	use	VERB
ejpam-6556	785	23	differentiable	differentiable	ADJ
ejpam-6556	785	24	convex	convex	NOUN
ejpam-6556	785	25	mappings	mapping	NOUN
ejpam-6556	785	26	.	.	PUNCT
ejpam-6556	786	1	aims	aim	VERB
ejpam-6556	786	2	mathematics	mathematic	NOUN
ejpam-6556	786	3	,	,	PUNCT
ejpam-6556	786	4	9(12):35151–35180	9(12):35151–35180	NUM
ejpam-6556	786	5	,	,	PUNCT
ejpam-6556	786	6	2024	2024	NUM
ejpam-6556	786	7	.	.	PUNCT
ejpam-6556	787	1	[	[	X
ejpam-6556	787	2	8	8	X
ejpam-6556	787	3	]	]	X
ejpam-6556	787	4	yahya	yahya	PROPN
ejpam-6556	787	5	almalki	almalki	ADV
ejpam-6556	787	6	and	and	CCONJ
ejpam-6556	787	7	waqar	waqar	PROPN
ejpam-6556	787	8	afzal	afzal	PROPN
ejpam-6556	787	9	.	.	PUNCT
ejpam-6556	788	1	some	some	DET
ejpam-6556	788	2	new	new	ADJ
ejpam-6556	788	3	estimates	estimate	NOUN
ejpam-6556	788	4	of	of	ADP
ejpam-6556	788	5	hermite	hermite	ADJ
ejpam-6556	788	6	–	–	PUNCT
ejpam-6556	788	7	hadamard	hadamard	ADJ
ejpam-6556	788	8	inequalities	inequality	NOUN
ejpam-6556	788	9	for	for	ADP
ejpam-6556	788	10	harmonical	harmonical	ADJ
ejpam-6556	788	11	cr	cr	PROPN
ejpam-6556	788	12	-	-	PUNCT
ejpam-6556	788	13	h	h	NOUN
ejpam-6556	788	14	-	-	PUNCT
ejpam-6556	788	15	convex	convex	NOUN
ejpam-6556	788	16	functions	function	NOUN
ejpam-6556	788	17	via	via	ADP
ejpam-6556	788	18	generalized	generalized	ADJ
ejpam-6556	788	19	fractional	fractional	ADJ
ejpam-6556	788	20	integral	integral	ADJ
ejpam-6556	788	21	operator	operator	NOUN
ejpam-6556	788	22	on	on	ADP
ejpam-6556	788	23	set	set	NOUN
ejpam-6556	788	24	-	-	PUNCT
ejpam-6556	788	25	valued	value	VERB
ejpam-6556	788	26	mappings	mapping	NOUN
ejpam-6556	788	27	.	.	PUNCT
ejpam-6556	789	1	volume	volume	NOUN
ejpam-6556	789	2	11	11	NUM
ejpam-6556	789	3	,	,	PUNCT
ejpam-6556	789	4	page	page	NOUN
ejpam-6556	789	5	4041	4041	NUM
ejpam-6556	789	6	.	.	PUNCT
ejpam-6556	790	1	mdpi	mdpi	PROPN
ejpam-6556	790	2	,	,	PUNCT
ejpam-6556	790	3	2023	2023	NUM
ejpam-6556	790	4	.	.	PUNCT
ejpam-6556	791	1	[	[	X
ejpam-6556	791	2	9	9	NUM
ejpam-6556	791	3	]	]	X
ejpam-6556	791	4	e.	e.	PROPN
ejpam-6556	791	5	c.	c.	PROPN
ejpam-6556	791	6	oliveira	oliveira	PROPN
ejpam-6556	791	7	,	,	PUNCT
ejpam-6556	791	8	s.	s.	PROPN
ejpam-6556	791	9	jarosz	jarosz	PROPN
ejpam-6556	791	10	,	,	PUNCT
ejpam-6556	791	11	and	and	CCONJ
ejpam-6556	791	12	j.	j.	PROPN
ejpam-6556	791	13	vaz	vaz	PROPN
ejpam-6556	791	14	.	.	PUNCT
ejpam-6556	791	15	fractional	fractional	ADJ
ejpam-6556	791	16	calculus	calculus	NOUN
ejpam-6556	791	17	via	via	ADP
ejpam-6556	791	18	laplace	laplace	NOUN
ejpam-6556	791	19	transform	transform	NOUN
ejpam-6556	791	20	and	and	CCONJ
ejpam-6556	791	21	its	its	PRON
ejpam-6556	791	22	application	application	NOUN
ejpam-6556	791	23	in	in	ADP
ejpam-6556	791	24	relaxation	relaxation	NOUN
ejpam-6556	791	25	processes	process	NOUN
ejpam-6556	791	26	.	.	PUNCT
ejpam-6556	792	1	communications	communication	NOUN
ejpam-6556	792	2	in	in	ADP
ejpam-6556	792	3	nonlinear	nonlinear	ADJ
ejpam-6556	792	4	science	science	NOUN
ejpam-6556	792	5	and	and	CCONJ
ejpam-6556	792	6	numerical	numerical	PROPN
ejpam-6556	792	7	simulation	simulation	PROPN
ejpam-6556	792	8	,	,	PUNCT
ejpam-6556	792	9	69:58–72	69:58–72	PROPN
ejpam-6556	792	10	,	,	PUNCT
ejpam-6556	792	11	2019	2019	NUM
ejpam-6556	792	12	.	.	PUNCT
ejpam-6556	793	1	[	[	X
ejpam-6556	793	2	10	10	NUM
ejpam-6556	793	3	]	]	X
ejpam-6556	793	4	d.	d.	PROPN
ejpam-6556	793	5	baleanu	baleanu	PROPN
ejpam-6556	793	6	,	,	PUNCT
ejpam-6556	793	7	z.	z.	PROPN
ejpam-6556	793	8	b.	b.	PROPN
ejpam-6556	793	9	güvenç	güvenç	PROPN
ejpam-6556	793	10	,	,	PUNCT
ejpam-6556	793	11	and	and	CCONJ
ejpam-6556	793	12	j.	j.	PROPN
ejpam-6556	793	13	t.	t.	PROPN
ejpam-6556	793	14	machado	machado	PROPN
ejpam-6556	793	15	.	.	PUNCT
ejpam-6556	794	1	new	new	ADJ
ejpam-6556	794	2	trends	trend	NOUN
ejpam-6556	794	3	in	in	ADP
ejpam-6556	794	4	nanotechnology	nanotechnology	NOUN
ejpam-6556	794	5	and	and	CCONJ
ejpam-6556	794	6	fractional	fractional	ADJ
ejpam-6556	794	7	calculus	calculus	NOUN
ejpam-6556	794	8	applications	application	NOUN
ejpam-6556	794	9	.	.	PUNCT
ejpam-6556	795	1	springer	springer	NOUN
ejpam-6556	795	2	,	,	PUNCT
ejpam-6556	795	3	new	new	PROPN
ejpam-6556	795	4	york	york	PROPN
ejpam-6556	795	5	,	,	PUNCT
ejpam-6556	795	6	ny	ny	PROPN
ejpam-6556	795	7	,	,	PUNCT
ejpam-6556	795	8	usa	usa	PROPN
ejpam-6556	795	9	,	,	PUNCT
ejpam-6556	795	10	2010	2010	NUM
ejpam-6556	795	11	.	.	PUNCT
ejpam-6556	796	1	m.	m.	NOUN
ejpam-6556	796	2	tariq	tariq	PROPN
ejpam-6556	796	3	et	et	PROPN
ejpam-6556	796	4	al	al	PROPN
ejpam-6556	796	5	.	.	PUNCT
ejpam-6556	796	6	/	/	SYM
ejpam-6556	796	7	eur	eur	PROPN
ejpam-6556	796	8	.	.	PUNCT
ejpam-6556	797	1	j.	j.	PROPN
ejpam-6556	797	2	pure	pure	PROPN
ejpam-6556	797	3	appl	appl	PROPN
ejpam-6556	797	4	.	.	PROPN
ejpam-6556	797	5	math	math	PROPN
ejpam-6556	797	6	,	,	PUNCT
ejpam-6556	797	7	18	18	NUM
ejpam-6556	797	8	(	(	PUNCT
ejpam-6556	797	9	3	3	NUM
ejpam-6556	797	10	)	)	PUNCT
ejpam-6556	797	11	(	(	PUNCT
ejpam-6556	797	12	2025	2025	NUM
ejpam-6556	797	13	)	)	PUNCT
ejpam-6556	797	14	,	,	PUNCT
ejpam-6556	797	15	6556	6556	NUM
ejpam-6556	797	16	26	26	NUM
ejpam-6556	797	17	of	of	ADP
ejpam-6556	797	18	28	28	NUM
ejpam-6556	798	1	[	[	X
ejpam-6556	798	2	11	11	NUM
ejpam-6556	798	3	]	]	PUNCT
ejpam-6556	798	4	m.	m.	NOUN
ejpam-6556	798	5	a.	a.	PROPN
ejpam-6556	798	6	el	el	PROPN
ejpam-6556	798	7	shaed	shaed	PROPN
ejpam-6556	798	8	.	.	PUNCT
ejpam-6556	799	1	fractional	fractional	ADJ
ejpam-6556	799	2	calculus	calculus	NOUN
ejpam-6556	799	3	model	model	NOUN
ejpam-6556	799	4	of	of	ADP
ejpam-6556	799	5	semilunar	semilunar	PROPN
ejpam-6556	799	6	heart	heart	NOUN
ejpam-6556	799	7	valve	valve	NOUN
ejpam-6556	799	8	vibrations	vibration	NOUN
ejpam-6556	799	9	.	.	PUNCT
ejpam-6556	800	1	in	in	ADP
ejpam-6556	800	2	proceedings	proceeding	NOUN
ejpam-6556	800	3	of	of	ADP
ejpam-6556	800	4	the	the	DET
ejpam-6556	800	5	international	international	PROPN
ejpam-6556	800	6	mathematica	mathematica	PROPN
ejpam-6556	800	7	symposium	symposium	PROPN
ejpam-6556	800	8	,	,	PUNCT
ejpam-6556	800	9	london	london	PROPN
ejpam-6556	800	10	,	,	PUNCT
ejpam-6556	800	11	uk	uk	PROPN
ejpam-6556	800	12	,	,	PUNCT
ejpam-6556	800	13	july	july	PROPN
ejpam-6556	800	14	2003	2003	NUM
ejpam-6556	800	15	.	.	PUNCT
ejpam-6556	801	1	[	[	X
ejpam-6556	801	2	12	12	NUM
ejpam-6556	801	3	]	]	X
ejpam-6556	801	4	l.	l.	PROPN
ejpam-6556	801	5	v.	v.	PROPN
ejpam-6556	801	6	c.	c.	PROPN
ejpam-6556	801	7	hoan	hoan	PROPN
ejpam-6556	801	8	,	,	PUNCT
ejpam-6556	801	9	m.	m.	NOUN
ejpam-6556	801	10	a.	a.	NOUN
ejpam-6556	801	11	akinlar	akinlar	PROPN
ejpam-6556	801	12	,	,	PUNCT
ejpam-6556	801	13	m.	m.	PROPN
ejpam-6556	801	14	inc	inc	PROPN
ejpam-6556	801	15	,	,	PUNCT
ejpam-6556	801	16	j.	j.	PROPN
ejpam-6556	801	17	f.	f.	PROPN
ejpam-6556	801	18	gomez	gomez	PROPN
ejpam-6556	801	19	-	-	PUNCT
ejpam-6556	801	20	aguilar	aguilar	PROPN
ejpam-6556	801	21	,	,	PUNCT
ejpam-6556	801	22	y.	y.	PROPN
ejpam-6556	801	23	m.	m.	PROPN
ejpam-6556	801	24	chu	chu	PROPN
ejpam-6556	801	25	,	,	PUNCT
ejpam-6556	801	26	and	and	CCONJ
ejpam-6556	801	27	b.	b.	PROPN
ejpam-6556	801	28	almohsen	almohsen	PROPN
ejpam-6556	801	29	.	.	PUNCT
ejpam-6556	802	1	a	a	DET
ejpam-6556	802	2	new	new	ADJ
ejpam-6556	802	3	fractional	fractional	ADJ
ejpam-6556	802	4	-	-	PUNCT
ejpam-6556	802	5	order	order	NOUN
ejpam-6556	802	6	compartmental	compartmental	ADJ
ejpam-6556	802	7	disease	disease	NOUN
ejpam-6556	802	8	model	model	NOUN
ejpam-6556	802	9	.	.	PUNCT
ejpam-6556	803	1	alexandria	alexandria	PROPN
ejpam-6556	803	2	engineering	engineering	PROPN
ejpam-6556	803	3	journal	journal	PROPN
ejpam-6556	803	4	,	,	PUNCT
ejpam-6556	803	5	59:3187–3196	59:3187–3196	NUM
ejpam-6556	803	6	,	,	PUNCT
ejpam-6556	803	7	2020	2020	NUM
ejpam-6556	803	8	.	.	PUNCT
ejpam-6556	804	1	[	[	X
ejpam-6556	804	2	13	13	NUM
ejpam-6556	804	3	]	]	X
ejpam-6556	804	4	v.	v.	PROPN
ejpam-6556	804	5	v.	v.	CCONJ
ejpam-6556	804	6	kulish	kulish	PROPN
ejpam-6556	804	7	and	and	CCONJ
ejpam-6556	804	8	j.	j.	PROPN
ejpam-6556	804	9	l.	l.	PROPN
ejpam-6556	804	10	lage	lage	PROPN
ejpam-6556	804	11	.	.	PUNCT
ejpam-6556	805	1	application	application	NOUN
ejpam-6556	805	2	of	of	ADP
ejpam-6556	805	3	fractional	fractional	ADJ
ejpam-6556	805	4	calculus	calculus	NOUN
ejpam-6556	805	5	to	to	ADP
ejpam-6556	805	6	fluid	fluid	ADJ
ejpam-6556	805	7	mechanics	mechanic	NOUN
ejpam-6556	805	8	.	.	PUNCT
ejpam-6556	806	1	journal	journal	PROPN
ejpam-6556	806	2	of	of	ADP
ejpam-6556	806	3	fluids	fluid	NOUN
ejpam-6556	806	4	engineering	engineering	NOUN
ejpam-6556	806	5	,	,	PUNCT
ejpam-6556	806	6	124:803–806	124:803–806	NUM
ejpam-6556	806	7	,	,	PUNCT
ejpam-6556	806	8	2002	2002	NUM
ejpam-6556	806	9	.	.	PUNCT
ejpam-6556	807	1	[	[	X
ejpam-6556	807	2	14	14	NUM
ejpam-6556	807	3	]	]	X
ejpam-6556	807	4	r.	r.	PROPN
ejpam-6556	807	5	l.	l.	PROPN
ejpam-6556	807	6	magin	magin	PROPN
ejpam-6556	807	7	.	.	PUNCT
ejpam-6556	808	1	fractional	fractional	ADJ
ejpam-6556	808	2	calculus	calculus	NOUN
ejpam-6556	808	3	in	in	ADP
ejpam-6556	808	4	bio	bio	NOUN
ejpam-6556	808	5	-	-	ADJ
ejpam-6556	808	6	engineering	engineering	NOUN
ejpam-6556	808	7	.	.	PUNCT
ejpam-6556	809	1	begell	begell	PROPN
ejpam-6556	809	2	house	house	PROPN
ejpam-6556	809	3	inc	inc	PROPN
ejpam-6556	809	4	.	.	PROPN
ejpam-6556	809	5	publishers	publisher	NOUN
ejpam-6556	809	6	,	,	PUNCT
ejpam-6556	809	7	danbury	danbury	PROPN
ejpam-6556	809	8	,	,	PUNCT
ejpam-6556	809	9	ct	ct	PROPN
ejpam-6556	809	10	,	,	PUNCT
ejpam-6556	809	11	usa	usa	PROPN
ejpam-6556	809	12	,	,	PUNCT
ejpam-6556	809	13	2006	2006	NUM
ejpam-6556	809	14	.	.	PUNCT
ejpam-6556	810	1	[	[	X
ejpam-6556	810	2	15	15	NUM
ejpam-6556	810	3	]	]	PUNCT
ejpam-6556	810	4	a.	a.	NOUN
ejpam-6556	810	5	atangana	atangana	PROPN
ejpam-6556	810	6	.	.	PUNCT
ejpam-6556	811	1	application	application	NOUN
ejpam-6556	811	2	of	of	ADP
ejpam-6556	811	3	fractional	fractional	ADJ
ejpam-6556	811	4	calculus	calculus	NOUN
ejpam-6556	811	5	to	to	ADP
ejpam-6556	811	6	epidemiology	epidemiology	NOUN
ejpam-6556	811	7	.	.	PUNCT
ejpam-6556	812	1	in	in	ADP
ejpam-6556	812	2	fractional	fractional	ADJ
ejpam-6556	812	3	dynamics	dynamic	NOUN
ejpam-6556	812	4	,	,	PUNCT
ejpam-6556	812	5	pages	page	NOUN
ejpam-6556	812	6	174–190	174–190	NUM
ejpam-6556	812	7	.	.	PUNCT
ejpam-6556	812	8	de	de	X
ejpam-6556	812	9	gruyter	gruyter	NOUN
ejpam-6556	812	10	open	open	PROPN
ejpam-6556	812	11	poland	poland	PROPN
ejpam-6556	812	12	,	,	PUNCT
ejpam-6556	812	13	warsaw	warsaw	PROPN
ejpam-6556	812	14	,	,	PUNCT
ejpam-6556	812	15	poland	poland	PROPN
ejpam-6556	812	16	,	,	PUNCT
ejpam-6556	812	17	2016	2016	NUM
ejpam-6556	812	18	.	.	PUNCT
ejpam-6556	813	1	[	[	X
ejpam-6556	813	2	16	16	NUM
ejpam-6556	813	3	]	]	PUNCT
ejpam-6556	813	4	zareen	zareen	X
ejpam-6556	813	5	a	a	DET
ejpam-6556	813	6	khan	khan	PROPN
ejpam-6556	813	7	,	,	PUNCT
ejpam-6556	813	8	waqar	waqar	PROPN
ejpam-6556	813	9	afzal	afzal	PROPN
ejpam-6556	813	10	,	,	PUNCT
ejpam-6556	813	11	mujahid	mujahid	NOUN
ejpam-6556	813	12	abbas	abbas	PROPN
ejpam-6556	813	13	,	,	PUNCT
ejpam-6556	813	14	jongsuk	jongsuk	PROPN
ejpam-6556	813	15	ro	ro	NOUN
ejpam-6556	813	16	,	,	PUNCT
ejpam-6556	813	17	and	and	CCONJ
ejpam-6556	813	18	najla	najla	ADJ
ejpam-6556	813	19	m	m	PROPN
ejpam-6556	813	20	aloraini	aloraini	PROPN
ejpam-6556	813	21	.	.	PUNCT
ejpam-6556	814	1	a	a	DET
ejpam-6556	814	2	novel	novel	ADJ
ejpam-6556	814	3	fractional	fractional	ADJ
ejpam-6556	814	4	approach	approach	NOUN
ejpam-6556	814	5	to	to	ADP
ejpam-6556	814	6	finding	find	VERB
ejpam-6556	814	7	the	the	DET
ejpam-6556	814	8	upper	upper	ADJ
ejpam-6556	814	9	bounds	bound	NOUN
ejpam-6556	814	10	of	of	ADP
ejpam-6556	814	11	simpson	simpson	NOUN
ejpam-6556	814	12	and	and	CCONJ
ejpam-6556	814	13	hermitehadamard	hermitehadamard	NOUN
ejpam-6556	814	14	-	-	PUNCT
ejpam-6556	814	15	type	type	NOUN
ejpam-6556	814	16	inequalities	inequality	NOUN
ejpam-6556	814	17	in	in	ADP
ejpam-6556	814	18	tensorial	tensorial	ADJ
ejpam-6556	814	19	hilbert	hilbert	NOUN
ejpam-6556	814	20	spaces	space	NOUN
ejpam-6556	814	21	by	by	ADP
ejpam-6556	814	22	using	use	VERB
ejpam-6556	814	23	differentiable	differentiable	ADJ
ejpam-6556	814	24	convex	convex	NOUN
ejpam-6556	814	25	mappings	mapping	NOUN
ejpam-6556	814	26	.	.	PUNCT
ejpam-6556	815	1	aims	aim	VERB
ejpam-6556	815	2	mathematics	mathematic	NOUN
ejpam-6556	815	3	,	,	PUNCT
ejpam-6556	815	4	9(12):35151–35180	9(12):35151–35180	NUM
ejpam-6556	815	5	,	,	PUNCT
ejpam-6556	815	6	2024	2024	NUM
ejpam-6556	815	7	.	.	PUNCT
ejpam-6556	816	1	[	[	X
ejpam-6556	816	2	17	17	NUM
ejpam-6556	816	3	]	]	PUNCT
ejpam-6556	816	4	a.	a.	NOUN
ejpam-6556	816	5	ebrahimzadeh	ebrahimzadeh	NOUN
ejpam-6556	816	6	,	,	PUNCT
ejpam-6556	816	7	a.	a.	PROPN
ejpam-6556	816	8	jajarmi	jajarmi	PROPN
ejpam-6556	816	9	,	,	PUNCT
ejpam-6556	816	10	and	and	CCONJ
ejpam-6556	816	11	d.	d.	PROPN
ejpam-6556	816	12	baleanu	baleanu	PROPN
ejpam-6556	816	13	.	.	PUNCT
ejpam-6556	817	1	enhancing	enhance	VERB
ejpam-6556	817	2	water	water	NOUN
ejpam-6556	817	3	pollution	pollution	NOUN
ejpam-6556	817	4	management	management	NOUN
ejpam-6556	817	5	through	through	ADP
ejpam-6556	817	6	a	a	DET
ejpam-6556	817	7	comprehensive	comprehensive	ADJ
ejpam-6556	817	8	fractional	fractional	ADJ
ejpam-6556	817	9	modeling	modeling	NOUN
ejpam-6556	817	10	framework	framework	NOUN
ejpam-6556	817	11	and	and	CCONJ
ejpam-6556	817	12	optimal	optimal	ADJ
ejpam-6556	817	13	control	control	NOUN
ejpam-6556	817	14	techniques	technique	NOUN
ejpam-6556	817	15	.	.	PUNCT
ejpam-6556	818	1	journal	journal	PROPN
ejpam-6556	818	2	of	of	ADP
ejpam-6556	818	3	nonlinear	nonlinear	PROPN
ejpam-6556	818	4	mathematical	mathematical	ADJ
ejpam-6556	818	5	physics	physics	NOUN
ejpam-6556	818	6	,	,	PUNCT
ejpam-6556	818	7	31:48	31:48	NUM
ejpam-6556	818	8	,	,	PUNCT
ejpam-6556	818	9	2024	2024	NUM
ejpam-6556	818	10	.	.	PUNCT
ejpam-6556	819	1	[	[	X
ejpam-6556	819	2	18	18	NUM
ejpam-6556	819	3	]	]	X
ejpam-6556	819	4	d.	d.	PROPN
ejpam-6556	819	5	baleanu	baleanu	PROPN
ejpam-6556	819	6	,	,	PUNCT
ejpam-6556	819	7	a.	a.	PROPN
ejpam-6556	819	8	jajarmi	jajarmi	PROPN
ejpam-6556	819	9	,	,	PUNCT
ejpam-6556	819	10	o.	o.	PROPN
ejpam-6556	819	11	defterli	defterli	PROPN
ejpam-6556	819	12	,	,	PUNCT
ejpam-6556	819	13	r.	r.	PROPN
ejpam-6556	819	14	wannan	wannan	PROPN
ejpam-6556	819	15	,	,	PUNCT
ejpam-6556	819	16	s.	s.	PROPN
ejpam-6556	819	17	s.	s.	PROPN
ejpam-6556	819	18	sajjadi	sajjadi	PROPN
ejpam-6556	819	19	,	,	PUNCT
ejpam-6556	819	20	and	and	CCONJ
ejpam-6556	819	21	j.	j.	PROPN
ejpam-6556	819	22	h.	h.	PROPN
ejpam-6556	819	23	asad	asad	PROPN
ejpam-6556	819	24	.	.	PUNCT
ejpam-6556	820	1	fractional	fractional	ADJ
ejpam-6556	820	2	investigation	investigation	NOUN
ejpam-6556	820	3	of	of	ADP
ejpam-6556	820	4	time	time	NOUN
ejpam-6556	820	5	-	-	PUNCT
ejpam-6556	820	6	dependent	dependent	ADJ
ejpam-6556	820	7	mass	mass	NOUN
ejpam-6556	820	8	pendulum	pendulum	NOUN
ejpam-6556	820	9	.	.	PUNCT
ejpam-6556	821	1	journal	journal	NOUN
ejpam-6556	821	2	of	of	ADP
ejpam-6556	821	3	low	low	ADJ
ejpam-6556	821	4	frequency	frequency	NOUN
ejpam-6556	821	5	noise	noise	NOUN
ejpam-6556	821	6	,	,	PUNCT
ejpam-6556	821	7	vibration	vibration	NOUN
ejpam-6556	821	8	and	and	CCONJ
ejpam-6556	821	9	active	active	ADJ
ejpam-6556	821	10	control	control	NOUN
ejpam-6556	821	11	,	,	PUNCT
ejpam-6556	821	12	43(1):196–207	43(1):196–207	NOUN
ejpam-6556	821	13	,	,	PUNCT
ejpam-6556	821	14	2024	2024	NUM
ejpam-6556	821	15	.	.	PUNCT
ejpam-6556	822	1	[	[	X
ejpam-6556	822	2	19	19	NUM
ejpam-6556	822	3	]	]	X
ejpam-6556	822	4	farhat	farhat	PROPN
ejpam-6556	822	5	safdar	safdar	PROPN
ejpam-6556	822	6	,	,	PUNCT
ejpam-6556	822	7	muhammad	muhammad	PROPN
ejpam-6556	822	8	aslam	aslam	PROPN
ejpam-6556	822	9	noor	noor	PROPN
ejpam-6556	822	10	,	,	PUNCT
ejpam-6556	822	11	khalida	khalida	PROPN
ejpam-6556	822	12	inayat	inayat	PROPN
ejpam-6556	822	13	noor	noor	PROPN
ejpam-6556	822	14	,	,	PUNCT
ejpam-6556	822	15	and	and	CCONJ
ejpam-6556	822	16	saima	saima	PROPN
ejpam-6556	822	17	rashid	rashid	PROPN
ejpam-6556	822	18	.	.	PUNCT
ejpam-6556	823	1	some	some	DET
ejpam-6556	823	2	new	new	ADJ
ejpam-6556	823	3	estimates	estimate	NOUN
ejpam-6556	823	4	of	of	ADP
ejpam-6556	823	5	generalized	generalized	ADJ
ejpam-6556	823	6	(	(	PUNCT
ejpam-6556	823	7	h1	h1	PROPN
ejpam-6556	823	8	,	,	PUNCT
ejpam-6556	823	9	h2)-convex	h2)-convex	NOUN
ejpam-6556	823	10	functions	function	NOUN
ejpam-6556	823	11	.	.	PUNCT
ejpam-6556	824	1	journal	journal	NOUN
ejpam-6556	824	2	of	of	ADP
ejpam-6556	824	3	prime	prime	ADJ
ejpam-6556	824	4	research	research	NOUN
ejpam-6556	824	5	in	in	ADP
ejpam-6556	824	6	mathematics	mathematic	NOUN
ejpam-6556	824	7	,	,	PUNCT
ejpam-6556	824	8	15:129–146	15:129–146	NUM
ejpam-6556	824	9	,	,	PUNCT
ejpam-6556	824	10	2019	2019	NUM
ejpam-6556	824	11	.	.	PUNCT
ejpam-6556	825	1	[	[	X
ejpam-6556	825	2	20	20	NUM
ejpam-6556	825	3	]	]	PUNCT
ejpam-6556	825	4	zareen	zareen	X
ejpam-6556	825	5	a	a	DET
ejpam-6556	825	6	khan	khan	PROPN
ejpam-6556	825	7	and	and	CCONJ
ejpam-6556	825	8	waqar	waqar	PROPN
ejpam-6556	825	9	afzal	afzal	PROPN
ejpam-6556	825	10	.	.	PUNCT
ejpam-6556	826	1	an	an	DET
ejpam-6556	826	2	estimation	estimation	NOUN
ejpam-6556	826	3	of	of	ADP
ejpam-6556	826	4	different	different	ADJ
ejpam-6556	826	5	kinds	kind	NOUN
ejpam-6556	826	6	of	of	ADP
ejpam-6556	826	7	integral	integral	ADJ
ejpam-6556	826	8	inequalities	inequality	NOUN
ejpam-6556	826	9	for	for	ADP
ejpam-6556	826	10	a	a	DET
ejpam-6556	826	11	generalized	generalized	ADJ
ejpam-6556	826	12	class	class	NOUN
ejpam-6556	826	13	of	of	ADP
ejpam-6556	826	14	godunova	godunova	PROPN
ejpam-6556	826	15	–	–	PUNCT
ejpam-6556	826	16	levin	levin	PROPN
ejpam-6556	826	17	convex	convex	PROPN
ejpam-6556	826	18	and	and	CCONJ
ejpam-6556	826	19	preinvex	preinvex	NOUN
ejpam-6556	826	20	functions	function	NOUN
ejpam-6556	826	21	via	via	ADP
ejpam-6556	826	22	pseudo	pseudo	NOUN
ejpam-6556	826	23	and	and	CCONJ
ejpam-6556	826	24	standard	standard	ADJ
ejpam-6556	826	25	order	order	NOUN
ejpam-6556	826	26	relations	relation	NOUN
ejpam-6556	826	27	.	.	PUNCT
ejpam-6556	827	1	journal	journal	PROPN
ejpam-6556	827	2	of	of	ADP
ejpam-6556	827	3	function	function	NOUN
ejpam-6556	827	4	spaces	space	NOUN
ejpam-6556	827	5	,	,	PUNCT
ejpam-6556	827	6	2025(1):3942793	2025(1):3942793	NUM
ejpam-6556	827	7	,	,	PUNCT
ejpam-6556	827	8	2025	2025	NUM
ejpam-6556	827	9	.	.	PUNCT
ejpam-6556	828	1	[	[	X
ejpam-6556	828	2	21	21	NUM
ejpam-6556	828	3	]	]	X
ejpam-6556	828	4	waqar	waqar	PROPN
ejpam-6556	828	5	afzal	afzal	PROPN
ejpam-6556	828	6	,	,	PUNCT
ejpam-6556	828	7	najla	najla	PROPN
ejpam-6556	828	8	m	m	PROPN
ejpam-6556	828	9	aloraini	aloraini	PROPN
ejpam-6556	828	10	,	,	PUNCT
ejpam-6556	828	11	mujahid	mujahid	NOUN
ejpam-6556	828	12	abbas	abbas	PROPN
ejpam-6556	828	13	,	,	PUNCT
ejpam-6556	828	14	jong	jong	PROPN
ejpam-6556	828	15	-	-	PUNCT
ejpam-6556	828	16	suk	suk	PROPN
ejpam-6556	828	17	ro	ro	NOUN
ejpam-6556	828	18	,	,	PUNCT
ejpam-6556	828	19	and	and	CCONJ
ejpam-6556	828	20	abdullah	abdullah	VERB
ejpam-6556	828	21	a	a	DET
ejpam-6556	828	22	zaagan	zaagan	NOUN
ejpam-6556	828	23	.	.	PUNCT
ejpam-6556	829	1	some	some	DET
ejpam-6556	829	2	novel	novel	ADJ
ejpam-6556	829	3	kulisch	kulisch	ADJ
ejpam-6556	829	4	-	-	PUNCT
ejpam-6556	829	5	miranker	miranker	NOUN
ejpam-6556	829	6	type	type	NOUN
ejpam-6556	829	7	inclusions	inclusion	NOUN
ejpam-6556	829	8	for	for	ADP
ejpam-6556	829	9	a	a	DET
ejpam-6556	829	10	generalized	generalized	ADJ
ejpam-6556	829	11	class	class	NOUN
ejpam-6556	829	12	of	of	ADP
ejpam-6556	829	13	godunovalevin	godunovalevin	ADJ
ejpam-6556	829	14	stochastic	stochastic	NOUN
ejpam-6556	829	15	processes	process	NOUN
ejpam-6556	829	16	.	.	PUNCT
ejpam-6556	830	1	aims	aim	VERB
ejpam-6556	830	2	mathematics	mathematic	NOUN
ejpam-6556	830	3	,	,	PUNCT
ejpam-6556	830	4	9(2):5122–5146	9(2):5122–5146	PROPN
ejpam-6556	830	5	,	,	PUNCT
ejpam-6556	830	6	2024	2024	NUM
ejpam-6556	830	7	.	.	PUNCT
ejpam-6556	831	1	[	[	X
ejpam-6556	831	2	22	22	NUM
ejpam-6556	831	3	]	]	X
ejpam-6556	831	4	cheng	cheng	PROPN
ejpam-6556	831	5	peng	peng	PROPN
ejpam-6556	831	6	,	,	PUNCT
ejpam-6556	831	7	chang	chang	PROPN
ejpam-6556	831	8	zhou	zhou	PROPN
ejpam-6556	831	9	,	,	PUNCT
ejpam-6556	831	10	and	and	CCONJ
ejpam-6556	831	11	tingsong	tingsong	PROPN
ejpam-6556	831	12	du	du	PROPN
ejpam-6556	831	13	.	.	PUNCT
ejpam-6556	831	14	riemann	riemann	PROPN
ejpam-6556	831	15	-	-	PUNCT
ejpam-6556	831	16	liouville	liouville	VERB
ejpam-6556	831	17	fractional	fractional	PROPN
ejpam-6556	831	18	simpson	simpson	PROPN
ejpam-6556	831	19	’s	’s	PART
ejpam-6556	831	20	inequalities	inequality	NOUN
ejpam-6556	831	21	through	through	ADP
ejpam-6556	831	22	generalized	generalize	VERB
ejpam-6556	831	23	(	(	PUNCT
ejpam-6556	831	24	m	m	PROPN
ejpam-6556	831	25	,	,	PUNCT
ejpam-6556	831	26	h1	h1	NOUN
ejpam-6556	831	27	,	,	PUNCT
ejpam-6556	831	28	h2)-preinvexity	h2)-preinvexity	PROPN
ejpam-6556	831	29	.	.	PUNCT
ejpam-6556	831	30	italian	italian	ADJ
ejpam-6556	831	31	journal	journal	NOUN
ejpam-6556	831	32	of	of	ADP
ejpam-6556	831	33	pure	pure	ADJ
ejpam-6556	831	34	and	and	CCONJ
ejpam-6556	831	35	applied	applied	ADJ
ejpam-6556	831	36	mathematics	mathematic	NOUN
ejpam-6556	831	37	,	,	PUNCT
ejpam-6556	831	38	38:345–367	38:345–367	NUM
ejpam-6556	831	39	,	,	PUNCT
ejpam-6556	831	40	2017	2017	NUM
ejpam-6556	831	41	.	.	PUNCT
ejpam-6556	832	1	[	[	X
ejpam-6556	832	2	23	23	NUM
ejpam-6556	832	3	]	]	X
ejpam-6556	832	4	soubhagya	soubhagya	PROPN
ejpam-6556	832	5	kumar	kumar	PROPN
ejpam-6556	832	6	sahoo	sahoo	PROPN
ejpam-6556	832	7	,	,	PUNCT
ejpam-6556	832	8	pshtiwan	pshtiwan	PROPN
ejpam-6556	832	9	othman	othman	PROPN
ejpam-6556	832	10	mohammed	mohammed	PROPN
ejpam-6556	832	11	,	,	PUNCT
ejpam-6556	832	12	donal	donal	PROPN
ejpam-6556	832	13	o	o	NOUN
ejpam-6556	832	14	’	'	PUNCT
ejpam-6556	832	15	regan	regan	PROPN
ejpam-6556	832	16	,	,	PUNCT
ejpam-6556	832	17	muhammad	muhammad	PROPN
ejpam-6556	832	18	tariq	tariq	PROPN
ejpam-6556	832	19	,	,	PUNCT
ejpam-6556	832	20	and	and	CCONJ
ejpam-6556	832	21	kamsing	kamse	VERB
ejpam-6556	832	22	nonlaopon	nonlaopon	ADV
ejpam-6556	832	23	.	.	PUNCT
ejpam-6556	833	1	new	new	ADJ
ejpam-6556	833	2	hermite	hermite	ADJ
ejpam-6556	833	3	–	–	PUNCT
ejpam-6556	833	4	hadamard	hadamard	ADJ
ejpam-6556	833	5	type	type	NOUN
ejpam-6556	833	6	inequalities	inequality	NOUN
ejpam-6556	833	7	for	for	ADP
ejpam-6556	833	8	interval	interval	NOUN
ejpam-6556	833	9	-	-	PUNCT
ejpam-6556	833	10	valued	value	VERB
ejpam-6556	833	11	generalized	generalize	VERB
ejpam-6556	833	12	harmonically	harmonically	ADV
ejpam-6556	833	13	(	(	PUNCT
ejpam-6556	833	14	h1	h1	PROPN
ejpam-6556	833	15	,	,	PUNCT
ejpam-6556	833	16	h2)-godunova	h2)-godunova	PROPN
ejpam-6556	833	17	–	–	PUNCT
ejpam-6556	833	18	levin	levin	NOUN
ejpam-6556	833	19	functions	function	NOUN
ejpam-6556	833	20	.	.	PUNCT
ejpam-6556	834	1	symmetry	symmetry	NOUN
ejpam-6556	834	2	,	,	PUNCT
ejpam-6556	834	3	14(10):1964	14(10):1964	NUM
ejpam-6556	834	4	,	,	PUNCT
ejpam-6556	834	5	2022	2022	NUM
ejpam-6556	834	6	.	.	PUNCT
ejpam-6556	835	1	[	[	X
ejpam-6556	835	2	24	24	NUM
ejpam-6556	835	3	]	]	X
ejpam-6556	835	4	waqar	waqar	PROPN
ejpam-6556	835	5	afzal	afzal	PROPN
ejpam-6556	835	6	,	,	PUNCT
ejpam-6556	835	7	mujahid	mujahid	PROPN
ejpam-6556	835	8	abbas	abbas	PROPN
ejpam-6556	835	9	,	,	PUNCT
ejpam-6556	835	10	jorge	jorge	PROPN
ejpam-6556	835	11	e	e	PROPN
ejpam-6556	835	12	maćıas	maćıas	PROPN
ejpam-6556	835	13	-	-	PUNCT
ejpam-6556	835	14	dı́az	dı́az	NOUN
ejpam-6556	835	15	,	,	PUNCT
ejpam-6556	835	16	armando	armando	PROPN
ejpam-6556	835	17	gallegos	gallegos	PROPN
ejpam-6556	835	18	,	,	PUNCT
ejpam-6556	835	19	and	and	CCONJ
ejpam-6556	835	20	yahya	yahya	PROPN
ejpam-6556	835	21	almalki	almalki	ADV
ejpam-6556	835	22	.	.	PUNCT
ejpam-6556	836	1	boundedness	boundedness	PROPN
ejpam-6556	836	2	and	and	CCONJ
ejpam-6556	836	3	sobolev	sobolev	NOUN
ejpam-6556	836	4	-	-	PUNCT
ejpam-6556	836	5	type	type	NOUN
ejpam-6556	836	6	estimates	estimate	NOUN
ejpam-6556	836	7	for	for	ADP
ejpam-6556	836	8	the	the	DET
ejpam-6556	836	9	exponentially	exponentially	ADV
ejpam-6556	836	10	damped	damp	VERB
ejpam-6556	836	11	riesz	riesz	NOUN
ejpam-6556	836	12	potential	potential	NOUN
ejpam-6556	836	13	with	with	ADP
ejpam-6556	836	14	applications	application	NOUN
ejpam-6556	836	15	to	to	ADP
ejpam-6556	836	16	the	the	DET
ejpam-6556	836	17	regularity	regularity	NOUN
ejpam-6556	836	18	theory	theory	NOUN
ejpam-6556	836	19	of	of	ADP
ejpam-6556	836	20	elliptic	elliptic	ADJ
ejpam-6556	836	21	pdes	pde	NOUN
ejpam-6556	836	22	.	.	PUNCT
ejpam-6556	837	1	fractal	fractal	ADJ
ejpam-6556	837	2	and	and	CCONJ
ejpam-6556	837	3	fractional	fractional	ADJ
ejpam-6556	837	4	,	,	PUNCT
ejpam-6556	837	5	2025	2025	NUM
ejpam-6556	837	6	.	.	PUNCT
ejpam-6556	838	1	[	[	X
ejpam-6556	838	2	25	25	NUM
ejpam-6556	838	3	]	]	PUNCT
ejpam-6556	838	4	m.	m.	NOUN
ejpam-6556	838	5	samraiz	samraiz	PROPN
ejpam-6556	838	6	,	,	PUNCT
ejpam-6556	838	7	f.	f.	PROPN
ejpam-6556	838	8	nawaz	nawaz	PROPN
ejpam-6556	838	9	,	,	PUNCT
ejpam-6556	838	10	s.	s.	PROPN
ejpam-6556	838	11	iqbal	iqbal	PROPN
ejpam-6556	838	12	,	,	PUNCT
ejpam-6556	838	13	t.	t.	PROPN
ejpam-6556	838	14	abdeljawad	abdeljawad	PROPN
ejpam-6556	838	15	,	,	PUNCT
ejpam-6556	838	16	g.	g.	PROPN
ejpam-6556	838	17	rahman	rahman	PROPN
ejpam-6556	838	18	,	,	PUNCT
ejpam-6556	838	19	and	and	CCONJ
ejpam-6556	838	20	k.	k.	PROPN
ejpam-6556	838	21	s.	s.	PROPN
ejpam-6556	838	22	nisar	nisar	PROPN
ejpam-6556	838	23	.	.	PUNCT
ejpam-6556	839	1	certain	certain	ADJ
ejpam-6556	839	2	m.	m.	NOUN
ejpam-6556	839	3	tariq	tariq	PROPN
ejpam-6556	839	4	et	et	PROPN
ejpam-6556	839	5	al	al	PROPN
ejpam-6556	839	6	.	.	PUNCT
ejpam-6556	839	7	/	/	SYM
ejpam-6556	839	8	eur	eur	PROPN
ejpam-6556	839	9	.	.	PUNCT
ejpam-6556	840	1	j.	j.	PROPN
ejpam-6556	840	2	pure	pure	PROPN
ejpam-6556	840	3	appl	appl	PROPN
ejpam-6556	840	4	.	.	PROPN
ejpam-6556	840	5	math	math	PROPN
ejpam-6556	840	6	,	,	PUNCT
ejpam-6556	840	7	18	18	NUM
ejpam-6556	840	8	(	(	PUNCT
ejpam-6556	840	9	3	3	NUM
ejpam-6556	840	10	)	)	PUNCT
ejpam-6556	840	11	(	(	PUNCT
ejpam-6556	840	12	2025	2025	NUM
ejpam-6556	840	13	)	)	PUNCT
ejpam-6556	840	14	,	,	PUNCT
ejpam-6556	840	15	6556	6556	NUM
ejpam-6556	840	16	27	27	NUM
ejpam-6556	840	17	of	of	ADP
ejpam-6556	840	18	28	28	NUM
ejpam-6556	840	19	mean	mean	ADJ
ejpam-6556	840	20	-	-	PUNCT
ejpam-6556	840	21	type	type	NOUN
ejpam-6556	840	22	fractional	fractional	ADJ
ejpam-6556	840	23	integral	integral	ADJ
ejpam-6556	840	24	inequalities	inequality	NOUN
ejpam-6556	840	25	via	via	ADP
ejpam-6556	840	26	different	different	ADJ
ejpam-6556	840	27	convexities	convexity	NOUN
ejpam-6556	840	28	with	with	ADP
ejpam-6556	840	29	applications	application	NOUN
ejpam-6556	840	30	.	.	PUNCT
ejpam-6556	841	1	journal	journal	PROPN
ejpam-6556	841	2	of	of	ADP
ejpam-6556	841	3	inequalities	inequality	NOUN
ejpam-6556	841	4	and	and	CCONJ
ejpam-6556	841	5	applications	application	NOUN
ejpam-6556	841	6	,	,	PUNCT
ejpam-6556	841	7	2020(1):208	2020(1):208	NUM
ejpam-6556	841	8	,	,	PUNCT
ejpam-6556	841	9	2020	2020	NUM
ejpam-6556	841	10	.	.	PUNCT
ejpam-6556	842	1	[	[	X
ejpam-6556	842	2	26	26	NUM
ejpam-6556	842	3	]	]	PUNCT
ejpam-6556	842	4	l.	l.	PROPN
ejpam-6556	842	5	akın	akın	PROPN
ejpam-6556	842	6	.	.	PUNCT
ejpam-6556	843	1	on	on	ADP
ejpam-6556	843	2	the	the	DET
ejpam-6556	843	3	fractional	fractional	ADJ
ejpam-6556	843	4	maximal	maximal	ADJ
ejpam-6556	843	5	delta	delta	NOUN
ejpam-6556	843	6	integral	integral	ADJ
ejpam-6556	843	7	type	type	NOUN
ejpam-6556	843	8	inequalities	inequality	NOUN
ejpam-6556	843	9	on	on	ADP
ejpam-6556	843	10	time	time	NOUN
ejpam-6556	843	11	scales	scale	NOUN
ejpam-6556	843	12	.	.	PUNCT
ejpam-6556	844	1	fractal	fractal	ADJ
ejpam-6556	844	2	and	and	CCONJ
ejpam-6556	844	3	fractional	fractional	ADJ
ejpam-6556	844	4	,	,	PUNCT
ejpam-6556	844	5	4(2):26	4(2):26	NUM
ejpam-6556	844	6	,	,	PUNCT
ejpam-6556	844	7	2020	2020	NUM
ejpam-6556	844	8	.	.	PUNCT
ejpam-6556	845	1	[	[	X
ejpam-6556	845	2	27	27	NUM
ejpam-6556	845	3	]	]	X
ejpam-6556	845	4	p.	p.	NOUN
ejpam-6556	845	5	o.	o.	PROPN
ejpam-6556	845	6	mohammed	mohammed	PROPN
ejpam-6556	845	7	,	,	PUNCT
ejpam-6556	845	8	m.	m.	NOUN
ejpam-6556	845	9	z.	z.	PROPN
ejpam-6556	845	10	sarikaya	sarikaya	PROPN
ejpam-6556	845	11	,	,	PUNCT
ejpam-6556	845	12	and	and	CCONJ
ejpam-6556	845	13	d.	d.	PROPN
ejpam-6556	845	14	baleanu	baleanu	PROPN
ejpam-6556	845	15	.	.	PUNCT
ejpam-6556	846	1	on	on	ADP
ejpam-6556	846	2	the	the	DET
ejpam-6556	846	3	generalized	generalize	VERB
ejpam-6556	846	4	hermite	hermite	ADJ
ejpam-6556	846	5	–	–	PUNCT
ejpam-6556	846	6	hadamard	hadamard	ADJ
ejpam-6556	846	7	inequalities	inequality	NOUN
ejpam-6556	846	8	via	via	ADP
ejpam-6556	846	9	the	the	DET
ejpam-6556	846	10	tempered	temper	VERB
ejpam-6556	846	11	fractional	fractional	ADJ
ejpam-6556	846	12	integrals	integral	NOUN
ejpam-6556	846	13	.	.	PUNCT
ejpam-6556	847	1	symmetry	symmetry	NOUN
ejpam-6556	847	2	,	,	PUNCT
ejpam-6556	847	3	12(4):595	12(4):595	NUM
ejpam-6556	847	4	,	,	PUNCT
ejpam-6556	847	5	2020	2020	NUM
ejpam-6556	847	6	.	.	PUNCT
ejpam-6556	848	1	[	[	X
ejpam-6556	848	2	28	28	NUM
ejpam-6556	848	3	]	]	X
ejpam-6556	848	4	g.	g.	PROPN
ejpam-6556	848	5	rahman	rahman	PROPN
ejpam-6556	848	6	,	,	PUNCT
ejpam-6556	848	7	k.	k.	PROPN
ejpam-6556	848	8	s.	s.	PROPN
ejpam-6556	848	9	nisar	nisar	PROPN
ejpam-6556	848	10	,	,	PUNCT
ejpam-6556	848	11	s.	s.	PROPN
ejpam-6556	848	12	u.	u.	PROPN
ejpam-6556	848	13	khan	khan	PROPN
ejpam-6556	848	14	,	,	PUNCT
ejpam-6556	848	15	d.	d.	PROPN
ejpam-6556	848	16	baleanu	baleanu	PROPN
ejpam-6556	848	17	,	,	PUNCT
ejpam-6556	848	18	and	and	CCONJ
ejpam-6556	848	19	v.	v.	ADP
ejpam-6556	848	20	vijayakumar	vijayakumar	PROPN
ejpam-6556	848	21	.	.	PUNCT
ejpam-6556	849	1	on	on	ADP
ejpam-6556	849	2	the	the	DET
ejpam-6556	849	3	weighted	weight	VERB
ejpam-6556	849	4	fractional	fractional	ADJ
ejpam-6556	849	5	integral	integral	ADJ
ejpam-6556	849	6	inequalities	inequality	NOUN
ejpam-6556	849	7	for	for	ADP
ejpam-6556	849	8	chebyshev	chebyshev	NOUN
ejpam-6556	849	9	functionals	functional	NOUN
ejpam-6556	849	10	.	.	PUNCT
ejpam-6556	850	1	advances	advance	NOUN
ejpam-6556	850	2	in	in	ADP
ejpam-6556	850	3	difference	difference	NOUN
ejpam-6556	850	4	equations	equation	NOUN
ejpam-6556	850	5	,	,	PUNCT
ejpam-6556	850	6	2021(1):18	2021(1):18	NUM
ejpam-6556	850	7	,	,	PUNCT
ejpam-6556	850	8	2021	2021	NUM
ejpam-6556	850	9	.	.	PUNCT
ejpam-6556	851	1	[	[	X
ejpam-6556	851	2	29	29	NUM
ejpam-6556	851	3	]	]	PUNCT
ejpam-6556	851	4	s.	s.	PROPN
ejpam-6556	851	5	rashid	rashid	PROPN
ejpam-6556	851	6	,	,	PUNCT
ejpam-6556	851	7	a.	a.	PROPN
ejpam-6556	851	8	o.	o.	PROPN
ejpam-6556	851	9	akdemir	akdemir	PROPN
ejpam-6556	851	10	,	,	PUNCT
ejpam-6556	851	11	k.	k.	PROPN
ejpam-6556	851	12	s.	s.	PROPN
ejpam-6556	851	13	nisar	nisar	PROPN
ejpam-6556	851	14	,	,	PUNCT
ejpam-6556	851	15	t.	t.	NOUN
ejpam-6556	851	16	abdeljawad	abdeljawad	NOUN
ejpam-6556	851	17	,	,	PUNCT
ejpam-6556	851	18	and	and	CCONJ
ejpam-6556	851	19	g.	g.	PROPN
ejpam-6556	851	20	rahman	rahman	PROPN
ejpam-6556	851	21	.	.	PUNCT
ejpam-6556	852	1	new	new	ADJ
ejpam-6556	852	2	generalized	generalized	ADJ
ejpam-6556	852	3	reverse	reverse	NOUN
ejpam-6556	852	4	minkowski	minkowski	ADJ
ejpam-6556	852	5	and	and	CCONJ
ejpam-6556	852	6	related	relate	VERB
ejpam-6556	852	7	integral	integral	ADJ
ejpam-6556	852	8	inequalities	inequality	NOUN
ejpam-6556	852	9	involving	involve	VERB
ejpam-6556	852	10	generalized	generalize	VERB
ejpam-6556	852	11	fractional	fractional	ADJ
ejpam-6556	852	12	conformable	conformable	ADJ
ejpam-6556	852	13	integrals	integral	NOUN
ejpam-6556	852	14	.	.	PUNCT
ejpam-6556	853	1	journal	journal	NOUN
ejpam-6556	853	2	of	of	ADP
ejpam-6556	853	3	inequalities	inequality	NOUN
ejpam-6556	853	4	and	and	CCONJ
ejpam-6556	853	5	applications	application	NOUN
ejpam-6556	853	6	,	,	PUNCT
ejpam-6556	853	7	2020:1–15	2020:1–15	NUM
ejpam-6556	853	8	,	,	PUNCT
ejpam-6556	853	9	2020	2020	NUM
ejpam-6556	853	10	.	.	PUNCT
ejpam-6556	854	1	[	[	X
ejpam-6556	854	2	30	30	NUM
ejpam-6556	854	3	]	]	X
ejpam-6556	854	4	g.	g.	PROPN
ejpam-6556	854	5	rahman	rahman	PROPN
ejpam-6556	854	6	,	,	PUNCT
ejpam-6556	854	7	n.	n.	PROPN
ejpam-6556	854	8	mlaiki	mlaiki	PROPN
ejpam-6556	854	9	,	,	PUNCT
ejpam-6556	854	10	a.	a.	PROPN
ejpam-6556	854	11	aloqaily	aloqaily	ADV
ejpam-6556	854	12	,	,	PUNCT
ejpam-6556	854	13	m.	m.	NOUN
ejpam-6556	854	14	samraiz	samraiz	PROPN
ejpam-6556	854	15	,	,	PUNCT
ejpam-6556	854	16	and	and	CCONJ
ejpam-6556	854	17	ç.	ç.	ADP
ejpam-6556	854	18	yildiz	yildiz	NOUN
ejpam-6556	854	19	.	.	PUNCT
ejpam-6556	855	1	advancements	advancement	NOUN
ejpam-6556	855	2	in	in	ADP
ejpam-6556	855	3	integral	integral	ADJ
ejpam-6556	855	4	inequalities	inequality	NOUN
ejpam-6556	855	5	through	through	ADP
ejpam-6556	855	6	hattaf	hattaf	NOUN
ejpam-6556	855	7	fractional	fractional	PROPN
ejpam-6556	855	8	operators	operator	NOUN
ejpam-6556	855	9	.	.	PUNCT
ejpam-6556	856	1	contemporary	contemporary	ADJ
ejpam-6556	856	2	mathematics	mathematic	NOUN
ejpam-6556	856	3	,	,	PUNCT
ejpam-6556	856	4	pages	page	NOUN
ejpam-6556	856	5	1110–1126	1110–1126	NUM
ejpam-6556	856	6	,	,	PUNCT
ejpam-6556	856	7	2025	2025	NUM
ejpam-6556	856	8	.	.	PUNCT
ejpam-6556	857	1	[	[	X
ejpam-6556	857	2	31	31	NUM
ejpam-6556	857	3	]	]	PUNCT
ejpam-6556	857	4	t.	t.	PROPN
ejpam-6556	857	5	tunç	tunç	PROPN
ejpam-6556	857	6	,	,	PUNCT
ejpam-6556	857	7	h.	h.	PROPN
ejpam-6556	857	8	budak	budak	PROPN
ejpam-6556	857	9	,	,	PUNCT
ejpam-6556	857	10	f.	f.	PROPN
ejpam-6556	857	11	usta	usta	PROPN
ejpam-6556	857	12	,	,	PUNCT
ejpam-6556	857	13	and	and	CCONJ
ejpam-6556	857	14	m.	m.	PROPN
ejpam-6556	857	15	z.	z.	PROPN
ejpam-6556	857	16	sarıkaya	sarıkaya	PROPN
ejpam-6556	857	17	.	.	PUNCT
ejpam-6556	858	1	on	on	ADP
ejpam-6556	858	2	new	new	ADJ
ejpam-6556	858	3	generalized	generalized	ADJ
ejpam-6556	858	4	fractional	fractional	ADJ
ejpam-6556	858	5	integral	integral	ADJ
ejpam-6556	858	6	operators	operator	NOUN
ejpam-6556	858	7	and	and	CCONJ
ejpam-6556	858	8	related	relate	VERB
ejpam-6556	858	9	fractional	fractional	ADJ
ejpam-6556	858	10	inequalities	inequality	NOUN
ejpam-6556	858	11	.	.	PUNCT
ejpam-6556	859	1	konuralp	konuralp	PROPN
ejpam-6556	859	2	journal	journal	PROPN
ejpam-6556	859	3	of	of	ADP
ejpam-6556	859	4	mathematics	mathematic	NOUN
ejpam-6556	859	5	,	,	PUNCT
ejpam-6556	859	6	8(2):268–278	8(2):268–278	NUM
ejpam-6556	859	7	,	,	PUNCT
ejpam-6556	859	8	2020	2020	NUM
ejpam-6556	859	9	.	.	PUNCT
ejpam-6556	860	1	[	[	X
ejpam-6556	860	2	32	32	NUM
ejpam-6556	860	3	]	]	PUNCT
ejpam-6556	860	4	s.	s.	PROPN
ejpam-6556	860	5	k.	k.	PROPN
ejpam-6556	860	6	sahoo	sahoo	PROPN
ejpam-6556	860	7	,	,	PUNCT
ejpam-6556	860	8	m.	m.	NOUN
ejpam-6556	860	9	tariq	tariq	PROPN
ejpam-6556	860	10	,	,	PUNCT
ejpam-6556	860	11	h.	h.	PROPN
ejpam-6556	860	12	ahmad	ahmad	PROPN
ejpam-6556	860	13	,	,	PUNCT
ejpam-6556	860	14	j.	j.	PROPN
ejpam-6556	860	15	nasir	nasir	PROPN
ejpam-6556	860	16	,	,	PUNCT
ejpam-6556	860	17	h.	h.	PROPN
ejpam-6556	860	18	aydi	aydi	PROPN
ejpam-6556	860	19	,	,	PUNCT
ejpam-6556	860	20	and	and	CCONJ
ejpam-6556	860	21	a.	a.	NOUN
ejpam-6556	860	22	mukheimer	mukheimer	PROPN
ejpam-6556	860	23	.	.	PUNCT
ejpam-6556	860	24	new	new	ADJ
ejpam-6556	860	25	ostrowski	ostrowski	ADJ
ejpam-6556	860	26	-	-	PUNCT
ejpam-6556	860	27	type	type	NOUN
ejpam-6556	860	28	fractional	fractional	ADJ
ejpam-6556	860	29	integral	integral	ADJ
ejpam-6556	860	30	inequalities	inequality	NOUN
ejpam-6556	860	31	via	via	ADP
ejpam-6556	860	32	generalized	generalized	ADJ
ejpam-6556	860	33	exponential	exponential	ADJ
ejpam-6556	860	34	-	-	PUNCT
ejpam-6556	860	35	type	type	NOUN
ejpam-6556	860	36	convex	convex	NOUN
ejpam-6556	860	37	functions	function	NOUN
ejpam-6556	860	38	and	and	CCONJ
ejpam-6556	860	39	applications	application	NOUN
ejpam-6556	860	40	.	.	PUNCT
ejpam-6556	861	1	symmetry	symmetry	NOUN
ejpam-6556	861	2	,	,	PUNCT
ejpam-6556	861	3	13(8):1429	13(8):1429	NUM
ejpam-6556	861	4	,	,	PUNCT
ejpam-6556	861	5	2021	2021	NUM
ejpam-6556	861	6	.	.	PUNCT
ejpam-6556	862	1	[	[	X
ejpam-6556	862	2	33	33	NUM
ejpam-6556	862	3	]	]	PUNCT
ejpam-6556	862	4	a.	a.	NOUN
ejpam-6556	862	5	kashuri	kashuri	PROPN
ejpam-6556	862	6	,	,	PUNCT
ejpam-6556	862	7	t.	t.	PROPN
ejpam-6556	862	8	m.	m.	PROPN
ejpam-6556	862	9	rassias	rassias	PROPN
ejpam-6556	862	10	,	,	PUNCT
ejpam-6556	862	11	and	and	CCONJ
ejpam-6556	862	12	r.	r.	PROPN
ejpam-6556	862	13	liko	liko	PROPN
ejpam-6556	862	14	.	.	PUNCT
ejpam-6556	863	1	some	some	DET
ejpam-6556	863	2	new	new	ADJ
ejpam-6556	863	3	integral	integral	ADJ
ejpam-6556	863	4	inequalities	inequality	NOUN
ejpam-6556	863	5	via	via	ADP
ejpam-6556	863	6	general	general	ADJ
ejpam-6556	863	7	fractional	fractional	ADJ
ejpam-6556	863	8	operators	operator	NOUN
ejpam-6556	863	9	.	.	PUNCT
ejpam-6556	864	1	computational	computational	ADJ
ejpam-6556	864	2	mathematics	mathematic	NOUN
ejpam-6556	864	3	and	and	CCONJ
ejpam-6556	864	4	variational	variational	ADJ
ejpam-6556	864	5	analysis	analysis	NOUN
ejpam-6556	864	6	,	,	PUNCT
ejpam-6556	864	7	pages	page	NOUN
ejpam-6556	864	8	153–175	153–175	NUM
ejpam-6556	864	9	,	,	PUNCT
ejpam-6556	864	10	2020	2020	NUM
ejpam-6556	864	11	.	.	PUNCT
ejpam-6556	865	1	[	[	X
ejpam-6556	865	2	34	34	NUM
ejpam-6556	865	3	]	]	PUNCT
ejpam-6556	865	4	p.	p.	NOUN
ejpam-6556	865	5	o.	o.	PROPN
ejpam-6556	866	1	mohammed	mohammed	PROPN
ejpam-6556	866	2	and	and	CCONJ
ejpam-6556	866	3	a.	a.	NOUN
ejpam-6556	866	4	fernandez	fernandez	PROPN
ejpam-6556	866	5	.	.	PUNCT
ejpam-6556	867	1	integral	integral	ADJ
ejpam-6556	867	2	inequalities	inequality	NOUN
ejpam-6556	867	3	in	in	ADP
ejpam-6556	867	4	fractional	fractional	ADJ
ejpam-6556	867	5	calculus	calculus	NOUN
ejpam-6556	867	6	with	with	ADP
ejpam-6556	867	7	general	general	ADJ
ejpam-6556	867	8	analytic	analytic	ADJ
ejpam-6556	867	9	kernels	kernel	NOUN
ejpam-6556	867	10	.	.	PUNCT
ejpam-6556	868	1	filomat	filomat	NOUN
ejpam-6556	868	2	,	,	PUNCT
ejpam-6556	868	3	37(11):3659–3669	37(11):3659–3669	NUM
ejpam-6556	868	4	,	,	PUNCT
ejpam-6556	868	5	2023	2023	NUM
ejpam-6556	868	6	.	.	PUNCT
ejpam-6556	869	1	[	[	X
ejpam-6556	869	2	35	35	NUM
ejpam-6556	869	3	]	]	X
ejpam-6556	869	4	g.	g.	PROPN
ejpam-6556	869	5	rahman	rahman	PROPN
ejpam-6556	869	6	,	,	PUNCT
ejpam-6556	869	7	k.	k.	PROPN
ejpam-6556	869	8	s.	s.	PROPN
ejpam-6556	869	9	nisar	nisar	PROPN
ejpam-6556	869	10	,	,	PUNCT
ejpam-6556	869	11	b.	b.	PROPN
ejpam-6556	869	12	ghanbari	ghanbari	PROPN
ejpam-6556	869	13	,	,	PUNCT
ejpam-6556	869	14	and	and	CCONJ
ejpam-6556	869	15	t.	t.	PROPN
ejpam-6556	869	16	abdeljawad	abdeljawad	NOUN
ejpam-6556	869	17	.	.	PUNCT
ejpam-6556	870	1	on	on	ADP
ejpam-6556	870	2	generalized	generalized	ADJ
ejpam-6556	870	3	fractional	fractional	ADJ
ejpam-6556	870	4	integral	integral	ADJ
ejpam-6556	870	5	inequalities	inequality	NOUN
ejpam-6556	870	6	for	for	ADP
ejpam-6556	870	7	the	the	DET
ejpam-6556	870	8	monotone	monotone	NOUN
ejpam-6556	870	9	weighted	weight	VERB
ejpam-6556	870	10	chebyshev	chebyshev	NOUN
ejpam-6556	870	11	functionals	functional	NOUN
ejpam-6556	870	12	.	.	PUNCT
ejpam-6556	871	1	advances	advance	NOUN
ejpam-6556	871	2	in	in	ADP
ejpam-6556	871	3	difference	difference	NOUN
ejpam-6556	871	4	equations	equation	NOUN
ejpam-6556	871	5	,	,	PUNCT
ejpam-6556	871	6	2020:1–19	2020:1–19	NUM
ejpam-6556	871	7	,	,	PUNCT
ejpam-6556	871	8	2020	2020	NUM
ejpam-6556	871	9	.	.	PUNCT
ejpam-6556	872	1	[	[	X
ejpam-6556	872	2	36	36	NUM
ejpam-6556	872	3	]	]	X
ejpam-6556	872	4	waqar	waqar	PROPN
ejpam-6556	872	5	afzal	afzal	PROPN
ejpam-6556	872	6	,	,	PUNCT
ejpam-6556	872	7	thongchai	thongchai	PROPN
ejpam-6556	872	8	botmart	botmart	PROPN
ejpam-6556	872	9	,	,	PUNCT
ejpam-6556	872	10	w	w	PROPN
ejpam-6556	872	11	afzal	afzal	PROPN
ejpam-6556	872	12	,	,	PUNCT
ejpam-6556	872	13	and	and	CCONJ
ejpam-6556	872	14	t	t	PROPN
ejpam-6556	872	15	botmart	botmart	NOUN
ejpam-6556	872	16	.	.	PUNCT
ejpam-6556	873	1	some	some	DET
ejpam-6556	873	2	novel	novel	ADJ
ejpam-6556	873	3	estimates	estimate	NOUN
ejpam-6556	873	4	of	of	ADP
ejpam-6556	873	5	jensen	jensen	PROPN
ejpam-6556	873	6	and	and	CCONJ
ejpam-6556	873	7	hermite	hermite	PROPN
ejpam-6556	873	8	-	-	PUNCT
ejpam-6556	873	9	hadamard	hadamard	ADJ
ejpam-6556	873	10	inequalities	inequality	NOUN
ejpam-6556	873	11	for	for	ADP
ejpam-6556	873	12	h	h	NOUN
ejpam-6556	873	13	-	-	PUNCT
ejpam-6556	873	14	godunova	godunova	ADJ
ejpam-6556	873	15	–	–	PUNCT
ejpam-6556	873	16	levin	levin	PROPN
ejpam-6556	873	17	stochastic	stochastic	NOUN
ejpam-6556	873	18	processes	process	NOUN
ejpam-6556	873	19	.	.	PUNCT
ejpam-6556	874	1	aims	aim	VERB
ejpam-6556	874	2	mathematics	mathematic	NOUN
ejpam-6556	874	3	,	,	PUNCT
ejpam-6556	874	4	8:7277–7291	8:7277–7291	NUM
ejpam-6556	874	5	,	,	PUNCT
ejpam-6556	874	6	2023	2023	NUM
ejpam-6556	874	7	.	.	PUNCT
ejpam-6556	875	1	[	[	X
ejpam-6556	875	2	37	37	NUM
ejpam-6556	875	3	]	]	PUNCT
ejpam-6556	875	4	muhammad	muhammad	PROPN
ejpam-6556	875	5	uzair	uzair	PROPN
ejpam-6556	875	6	awan	awan	PROPN
ejpam-6556	875	7	,	,	PUNCT
ejpam-6556	875	8	muhammad	muhammad	PROPN
ejpam-6556	875	9	aslam	aslam	PROPN
ejpam-6556	875	10	noor	noor	PROPN
ejpam-6556	875	11	,	,	PUNCT
ejpam-6556	875	12	khalida	khalida	PROPN
ejpam-6556	875	13	inayat	inayat	PROPN
ejpam-6556	875	14	noor	noor	PROPN
ejpam-6556	875	15	,	,	PUNCT
ejpam-6556	875	16	and	and	CCONJ
ejpam-6556	875	17	awais	awais	PROPN
ejpam-6556	875	18	gul	gul	PROPN
ejpam-6556	875	19	khan	khan	PROPN
ejpam-6556	875	20	.	.	PUNCT
ejpam-6556	876	1	some	some	DET
ejpam-6556	876	2	new	new	ADJ
ejpam-6556	876	3	classes	class	NOUN
ejpam-6556	876	4	of	of	ADP
ejpam-6556	876	5	convex	convex	NOUN
ejpam-6556	876	6	functions	function	NOUN
ejpam-6556	876	7	and	and	CCONJ
ejpam-6556	876	8	inequalities	inequality	NOUN
ejpam-6556	876	9	.	.	PUNCT
ejpam-6556	877	1	miskolc	miskolc	ADJ
ejpam-6556	877	2	mathematical	mathematical	ADJ
ejpam-6556	877	3	notes	note	NOUN
ejpam-6556	877	4	,	,	PUNCT
ejpam-6556	877	5	19(1):77–94	19(1):77–94	NUM
ejpam-6556	877	6	,	,	PUNCT
ejpam-6556	877	7	2018	2018	NUM
ejpam-6556	877	8	.	.	PUNCT
ejpam-6556	878	1	[	[	X
ejpam-6556	878	2	38	38	NUM
ejpam-6556	878	3	]	]	PUNCT
ejpam-6556	878	4	waqar	waqar	PROPN
ejpam-6556	878	5	afzal	afzal	PROPN
ejpam-6556	878	6	,	,	PUNCT
ejpam-6556	878	7	mehreen	mehreen	NOUN
ejpam-6556	878	8	s	s	PROPN
ejpam-6556	878	9	khan	khan	PROPN
ejpam-6556	878	10	,	,	PUNCT
ejpam-6556	878	11	mutum	mutum	PROPN
ejpam-6556	878	12	zico	zico	PROPN
ejpam-6556	878	13	meetei	meetei	PROPN
ejpam-6556	878	14	,	,	PUNCT
ejpam-6556	878	15	mujahid	mujahid	PROPN
ejpam-6556	878	16	abbas	abbas	PROPN
ejpam-6556	878	17	,	,	PUNCT
ejpam-6556	878	18	jorge	jorge	PROPN
ejpam-6556	878	19	e	e	PROPN
ejpam-6556	878	20	mac	mac	PROPN
ejpam-6556	878	21	,	,	PUNCT
ejpam-6556	878	22	hector	hector	PROPN
ejpam-6556	878	23	varlas	varlas	PROPN
ejpam-6556	878	24	-	-	PUNCT
ejpam-6556	878	25	rodriguez	rodriguez	NOUN
ejpam-6556	878	26	,	,	PUNCT
ejpam-6556	878	27	et	et	PROPN
ejpam-6556	878	28	al	al	PROPN
ejpam-6556	878	29	.	.	PUNCT
ejpam-6556	879	1	some	some	DET
ejpam-6556	879	2	new	new	ADJ
ejpam-6556	879	3	fractional	fractional	ADJ
ejpam-6556	879	4	hermite	hermite	ADJ
ejpam-6556	879	5	-	-	PUNCT
ejpam-6556	879	6	hadamard	hadamard	ADJ
ejpam-6556	879	7	type	type	NOUN
ejpam-6556	879	8	inequalities	inequality	NOUN
ejpam-6556	879	9	for	for	ADP
ejpam-6556	879	10	generalized	generalized	ADJ
ejpam-6556	879	11	class	class	NOUN
ejpam-6556	879	12	of	of	ADP
ejpam-6556	879	13	godunova	godunova	PROPN
ejpam-6556	879	14	-	-	PUNCT
ejpam-6556	879	15	levin	levin	PROPN
ejpam-6556	879	16	functions	function	NOUN
ejpam-6556	879	17	by	by	ADP
ejpam-6556	879	18	means	mean	NOUN
ejpam-6556	879	19	of	of	ADP
ejpam-6556	879	20	interval	interval	NOUN
ejpam-6556	879	21	center	center	NOUN
ejpam-6556	879	22	-	-	PUNCT
ejpam-6556	879	23	radius	radius	NOUN
ejpam-6556	879	24	order	order	NOUN
ejpam-6556	879	25	relation	relation	NOUN
ejpam-6556	879	26	with	with	ADP
ejpam-6556	879	27	applications	application	NOUN
ejpam-6556	879	28	.	.	PUNCT
ejpam-6556	880	1	european	european	ADJ
ejpam-6556	880	2	journal	journal	PROPN
ejpam-6556	880	3	of	of	ADP
ejpam-6556	880	4	pure	pure	ADJ
ejpam-6556	880	5	and	and	CCONJ
ejpam-6556	880	6	applied	applied	ADJ
ejpam-6556	880	7	mathematics	mathematic	NOUN
ejpam-6556	880	8	,	,	PUNCT
ejpam-6556	880	9	17(4):4014–4049	17(4):4014–4049	NUM
ejpam-6556	880	10	,	,	PUNCT
ejpam-6556	880	11	2024	2024	NUM
ejpam-6556	880	12	.	.	PUNCT
ejpam-6556	881	1	[	[	X
ejpam-6556	881	2	39	39	NUM
ejpam-6556	881	3	]	]	PUNCT
ejpam-6556	881	4	gou	gou	PROPN
ejpam-6556	881	5	-	-	PUNCT
ejpam-6556	881	6	sheng	sheng	PROPN
ejpam-6556	881	7	yang	yang	PROPN
ejpam-6556	881	8	and	and	CCONJ
ejpam-6556	881	9	kuei	kuei	PROPN
ejpam-6556	881	10	-	-	PUNCT
ejpam-6556	881	11	lin	lin	PROPN
ejpam-6556	881	12	tseng	tseng	PROPN
ejpam-6556	881	13	.	.	PUNCT
ejpam-6556	882	1	on	on	ADP
ejpam-6556	882	2	certain	certain	ADJ
ejpam-6556	882	3	integral	integral	ADJ
ejpam-6556	882	4	inequalities	inequality	NOUN
ejpam-6556	882	5	related	relate	VERB
ejpam-6556	882	6	to	to	ADP
ejpam-6556	882	7	m.	m.	NOUN
ejpam-6556	882	8	tariq	tariq	PROPN
ejpam-6556	882	9	et	et	PROPN
ejpam-6556	882	10	al	al	PROPN
ejpam-6556	882	11	.	.	PUNCT
ejpam-6556	882	12	/	/	SYM
ejpam-6556	882	13	eur	eur	PROPN
ejpam-6556	882	14	.	.	PUNCT
ejpam-6556	883	1	j.	j.	PROPN
ejpam-6556	883	2	pure	pure	PROPN
ejpam-6556	883	3	appl	appl	PROPN
ejpam-6556	883	4	.	.	PROPN
ejpam-6556	883	5	math	math	PROPN
ejpam-6556	883	6	,	,	PUNCT
ejpam-6556	883	7	18	18	NUM
ejpam-6556	883	8	(	(	PUNCT
ejpam-6556	883	9	3	3	NUM
ejpam-6556	883	10	)	)	PUNCT
ejpam-6556	883	11	(	(	PUNCT
ejpam-6556	883	12	2025	2025	NUM
ejpam-6556	883	13	)	)	PUNCT
ejpam-6556	883	14	,	,	PUNCT
ejpam-6556	883	15	6556	6556	NUM
ejpam-6556	883	16	28	28	NUM
ejpam-6556	883	17	of	of	ADP
ejpam-6556	883	18	28	28	NUM
ejpam-6556	883	19	hermite	hermite	ADJ
ejpam-6556	883	20	–	–	PUNCT
ejpam-6556	883	21	hadamard	hadamard	ADJ
ejpam-6556	883	22	inequalities	inequality	NOUN
ejpam-6556	883	23	.	.	PUNCT
ejpam-6556	884	1	journal	journal	PROPN
ejpam-6556	884	2	of	of	ADP
ejpam-6556	884	3	mathematical	mathematical	ADJ
ejpam-6556	884	4	analysis	analysis	NOUN
ejpam-6556	884	5	and	and	CCONJ
ejpam-6556	884	6	applications	application	NOUN
ejpam-6556	884	7	,	,	PUNCT
ejpam-6556	884	8	239(1):180–187	239(1):180–187	NUM
ejpam-6556	884	9	,	,	PUNCT
ejpam-6556	884	10	1999	1999	NUM
ejpam-6556	884	11	.	.	PUNCT
ejpam-6556	885	1	[	[	X
ejpam-6556	885	2	40	40	NUM
ejpam-6556	885	3	]	]	PUNCT
ejpam-6556	885	4	waqar	waqar	PROPN
ejpam-6556	885	5	afzal	afzal	PROPN
ejpam-6556	885	6	,	,	PUNCT
ejpam-6556	885	7	mujahid	mujahid	NOUN
ejpam-6556	885	8	abbas	abbas	PROPN
ejpam-6556	885	9	,	,	PUNCT
ejpam-6556	885	10	and	and	CCONJ
ejpam-6556	885	11	omar	omar	PROPN
ejpam-6556	885	12	mutab	mutab	PROPN
ejpam-6556	885	13	alsalami	alsalami	NOUN
ejpam-6556	885	14	.	.	PUNCT
ejpam-6556	886	1	bounds	bound	NOUN
ejpam-6556	886	2	of	of	ADP
ejpam-6556	886	3	different	different	ADJ
ejpam-6556	886	4	integral	integral	ADJ
ejpam-6556	886	5	operators	operator	NOUN
ejpam-6556	886	6	in	in	ADP
ejpam-6556	886	7	tensorial	tensorial	ADJ
ejpam-6556	886	8	hilbert	hilbert	NOUN
ejpam-6556	886	9	and	and	CCONJ
ejpam-6556	886	10	variable	variable	ADJ
ejpam-6556	886	11	exponent	exponent	NOUN
ejpam-6556	886	12	function	function	NOUN
ejpam-6556	886	13	spaces	space	VERB
ejpam-6556	886	14	.	.	PUNCT
ejpam-6556	887	1	mathematics	mathematic	NOUN
ejpam-6556	887	2	,	,	PUNCT
ejpam-6556	887	3	12(16):1–33	12(16):1–33	NUM
ejpam-6556	887	4	,	,	PUNCT
ejpam-6556	887	5	2024	2024	NUM
ejpam-6556	887	6	.	.	PUNCT
ejpam-6556	888	1	[	[	X
ejpam-6556	888	2	41	41	NUM
ejpam-6556	888	3	]	]	X
ejpam-6556	888	4	j.	j.	PROPN
ejpam-6556	888	5	hadamard	hadamard	PROPN
ejpam-6556	888	6	.	.	PUNCT
ejpam-6556	889	1	étude	étude	VERB
ejpam-6556	889	2	sur	sur	PROPN
ejpam-6556	889	3	les	les	PROPN
ejpam-6556	889	4	propriétés	propriétés	PROPN
ejpam-6556	889	5	des	des	PROPN
ejpam-6556	889	6	fonctions	fonction	NOUN
ejpam-6556	889	7	entières	entière	NOUN
ejpam-6556	889	8	en	en	ADP
ejpam-6556	889	9	particulier	particulier	NOUN
ejpam-6556	889	10	d’une	d’une	CCONJ
ejpam-6556	889	11	fonction	fonction	PROPN
ejpam-6556	889	12	considérée	considérée	PROPN
ejpam-6556	889	13	par	par	PROPN
ejpam-6556	889	14	riemann	riemann	PROPN
ejpam-6556	889	15	.	.	PROPN
ejpam-6556	890	1	journal	journal	PROPN
ejpam-6556	890	2	de	de	PROPN
ejpam-6556	890	3	mathématiques	mathématiques	PROPN
ejpam-6556	890	4	pures	pure	NOUN
ejpam-6556	890	5	et	et	NOUN
ejpam-6556	890	6	appliquées	appliquée	NOUN
ejpam-6556	890	7	,	,	PUNCT
ejpam-6556	890	8	58:171–215	58:171–215	NUM
ejpam-6556	890	9	,	,	PUNCT
ejpam-6556	890	10	1893	1893	NUM
ejpam-6556	890	11	.	.	PUNCT
ejpam-6556	891	1	[	[	X
ejpam-6556	891	2	42	42	NUM
ejpam-6556	891	3	]	]	X
ejpam-6556	891	4	ahsan	ahsan	PROPN
ejpam-6556	891	5	fareed	fareed	PROPN
ejpam-6556	891	6	shah	shah	PROPN
ejpam-6556	891	7	,	,	PUNCT
ejpam-6556	891	8	serap	serap	NOUN
ejpam-6556	891	9	özcan	özcan	PROPN
ejpam-6556	891	10	,	,	PUNCT
ejpam-6556	891	11	miguel	miguel	PROPN
ejpam-6556	891	12	vivas	vivas	PROPN
ejpam-6556	891	13	-	-	PROPN
ejpam-6556	891	14	cortez	cortez	PROPN
ejpam-6556	891	15	,	,	PUNCT
ejpam-6556	891	16	muhammad	muhammad	PROPN
ejpam-6556	891	17	shoaib	shoaib	PROPN
ejpam-6556	891	18	saleem	saleem	PROPN
ejpam-6556	891	19	,	,	PUNCT
ejpam-6556	891	20	and	and	CCONJ
ejpam-6556	891	21	artion	artion	PROPN
ejpam-6556	891	22	kashuri	kashuri	PROPN
ejpam-6556	891	23	.	.	PUNCT
ejpam-6556	891	24	fractional	fractional	ADJ
ejpam-6556	891	25	hermite	hermite	PROPN
ejpam-6556	891	26	–	–	PUNCT
ejpam-6556	891	27	hadamard	hadamard	NOUN
ejpam-6556	891	28	–	–	PUNCT
ejpam-6556	891	29	mercer	mercer	NOUN
ejpam-6556	891	30	-	-	PUNCT
ejpam-6556	891	31	type	type	NOUN
ejpam-6556	891	32	inequalities	inequality	NOUN
ejpam-6556	891	33	for	for	ADP
ejpam-6556	891	34	interval	interval	NOUN
ejpam-6556	891	35	-	-	PUNCT
ejpam-6556	891	36	valued	value	VERB
ejpam-6556	891	37	convex	convex	NOUN
ejpam-6556	891	38	stochastic	stochastic	NOUN
ejpam-6556	891	39	processes	process	NOUN
ejpam-6556	891	40	with	with	ADP
ejpam-6556	891	41	center	center	ADJ
ejpam-6556	891	42	-	-	PUNCT
ejpam-6556	891	43	radius	radius	NOUN
ejpam-6556	891	44	order	order	NOUN
ejpam-6556	891	45	and	and	CCONJ
ejpam-6556	891	46	their	their	PRON
ejpam-6556	891	47	related	related	ADJ
ejpam-6556	891	48	applications	application	NOUN
ejpam-6556	891	49	in	in	ADP
ejpam-6556	891	50	entropy	entropy	NOUN
ejpam-6556	891	51	and	and	CCONJ
ejpam-6556	891	52	information	information	NOUN
ejpam-6556	891	53	theory	theory	NOUN
ejpam-6556	891	54	.	.	PUNCT
ejpam-6556	892	1	fractal	fractal	PROPN
ejpam-6556	892	2	and	and	CCONJ
ejpam-6556	892	3	fractional	fractional	ADJ
ejpam-6556	892	4	,	,	PUNCT
ejpam-6556	892	5	8(7):408	8(7):408	NUM
ejpam-6556	892	6	,	,	PUNCT
ejpam-6556	892	7	2024	2024	NUM
ejpam-6556	892	8	.	.	PUNCT
ejpam-6556	893	1	[	[	X
ejpam-6556	893	2	43	43	NUM
ejpam-6556	893	3	]	]	X
ejpam-6556	893	4	miguel	miguel	PROPN
ejpam-6556	893	5	vivas	vivas	PROPN
ejpam-6556	893	6	-	-	PROPN
ejpam-6556	893	7	cortez	cortez	PROPN
ejpam-6556	893	8	,	,	PUNCT
ejpam-6556	893	9	muhammad	muhammad	PROPN
ejpam-6556	893	10	shoaib	shoaib	PROPN
ejpam-6556	893	11	saleem	saleem	PROPN
ejpam-6556	893	12	,	,	PUNCT
ejpam-6556	893	13	ahsan	ahsan	PROPN
ejpam-6556	893	14	fareed	fareed	PROPN
ejpam-6556	893	15	shah	shah	PROPN
ejpam-6556	893	16	,	,	PUNCT
ejpam-6556	893	17	waqas	waqas	PROPN
ejpam-6556	893	18	nazeer	nazeer	PROPN
ejpam-6556	893	19	,	,	PUNCT
ejpam-6556	893	20	jorge	jorge	PROPN
ejpam-6556	893	21	eliecer	eliecer	PROPN
ejpam-6556	893	22	,	,	PUNCT
ejpam-6556	893	23	and	and	CCONJ
ejpam-6556	893	24	hernández	hernández	PROPN
ejpam-6556	893	25	hernández	hernández	PROPN
ejpam-6556	893	26	.	.	PUNCT
ejpam-6556	894	1	on	on	ADP
ejpam-6556	894	2	generalized	generalized	ADJ
ejpam-6556	894	3	harmonically	harmonically	ADV
ejpam-6556	894	4	ψ	ψ	NOUN
ejpam-6556	894	5	-	-	ADJ
ejpam-6556	894	6	mt	mt	ADJ
ejpam-6556	894	7	-	-	PUNCT
ejpam-6556	894	8	convex	convex	NOUN
ejpam-6556	894	9	functions	function	NOUN
ejpam-6556	894	10	via	via	ADP
ejpam-6556	894	11	local	local	ADJ
ejpam-6556	894	12	fractional	fractional	ADJ
ejpam-6556	894	13	integrals	integral	NOUN
ejpam-6556	894	14	and	and	CCONJ
ejpam-6556	894	15	some	some	DET
ejpam-6556	894	16	applications	application	NOUN
ejpam-6556	894	17	.	.	PUNCT
ejpam-6556	895	1	applied	apply	VERB
ejpam-6556	895	2	mathematics	mathematic	NOUN
ejpam-6556	895	3	,	,	PUNCT
ejpam-6556	895	4	17(3):417–429	17(3):417–429	NUM
ejpam-6556	895	5	,	,	PUNCT
ejpam-6556	895	6	2023	2023	NUM
ejpam-6556	895	7	.	.	PUNCT
ejpam-6556	896	1	[	[	X
ejpam-6556	896	2	44	44	NUM
ejpam-6556	896	3	]	]	PUNCT
ejpam-6556	896	4	r.	r.	PROPN
ejpam-6556	896	5	k.	k.	PROPN
ejpam-6556	896	6	raina	raina	PROPN
ejpam-6556	896	7	.	.	PUNCT
ejpam-6556	897	1	on	on	ADP
ejpam-6556	897	2	generalized	generalized	PROPN
ejpam-6556	897	3	wright	wright	PROPN
ejpam-6556	897	4	’s	’s	PART
ejpam-6556	897	5	hypergeometric	hypergeometric	ADJ
ejpam-6556	897	6	functions	function	NOUN
ejpam-6556	897	7	and	and	CCONJ
ejpam-6556	897	8	fractional	fractional	ADJ
ejpam-6556	897	9	calculus	calculus	NOUN
ejpam-6556	897	10	operators	operator	NOUN
ejpam-6556	897	11	.	.	PUNCT
ejpam-6556	898	1	east	east	PROPN
ejpam-6556	898	2	asian	asian	PROPN
ejpam-6556	898	3	mathematical	mathematical	ADJ
ejpam-6556	898	4	journal	journal	NOUN
ejpam-6556	898	5	,	,	PUNCT
ejpam-6556	898	6	21:191–203	21:191–203	PROPN
ejpam-6556	898	7	,	,	PUNCT
ejpam-6556	898	8	2005	2005	NUM
ejpam-6556	898	9	.	.	PUNCT
ejpam-6556	899	1	[	[	X
ejpam-6556	899	2	45	45	NUM
ejpam-6556	899	3	]	]	PUNCT
ejpam-6556	899	4	m.	m.	NOUN
ejpam-6556	899	5	j.	j.	PROPN
ejpam-6556	899	6	v.	v.	PROPN
ejpam-6556	899	7	cortez	cortez	PROPN
ejpam-6556	899	8	,	,	PUNCT
ejpam-6556	899	9	r.	r.	PROPN
ejpam-6556	899	10	liko	liko	PROPN
ejpam-6556	899	11	,	,	PUNCT
ejpam-6556	899	12	a.	a.	NOUN
ejpam-6556	899	13	kashuri	kashuri	PROPN
ejpam-6556	899	14	,	,	PUNCT
ejpam-6556	899	15	and	and	CCONJ
ejpam-6556	899	16	j.	j.	PROPN
ejpam-6556	899	17	e.	e.	PROPN
ejpam-6556	899	18	h.	h.	PROPN
ejpam-6556	899	19	hernández	hernández	PROPN
ejpam-6556	899	20	.	.	PUNCT
ejpam-6556	900	1	new	new	ADJ
ejpam-6556	900	2	quantum	quantum	ADJ
ejpam-6556	900	3	estimates	estimate	NOUN
ejpam-6556	900	4	of	of	ADP
ejpam-6556	900	5	trapezium	trapezium	NOUN
ejpam-6556	900	6	-	-	PUNCT
ejpam-6556	900	7	type	type	NOUN
ejpam-6556	900	8	inequalities	inequality	NOUN
ejpam-6556	900	9	for	for	ADP
ejpam-6556	900	10	generalized	generalized	ADJ
ejpam-6556	900	11	ϕ–convex	ϕ–convex	PROPN
ejpam-6556	900	12	functions	function	NOUN
ejpam-6556	900	13	.	.	PUNCT
ejpam-6556	901	1	mathematics	mathematic	NOUN
ejpam-6556	901	2	,	,	PUNCT
ejpam-6556	901	3	7:1047	7:1047	NUM
ejpam-6556	901	4	,	,	PUNCT
ejpam-6556	901	5	2019	2019	NUM
ejpam-6556	901	6	.	.	PUNCT
ejpam-6556	902	1	[	[	X
ejpam-6556	902	2	46	46	NUM
ejpam-6556	902	3	]	]	PUNCT
ejpam-6556	902	4	m.	m.	NOUN
ejpam-6556	902	5	j.	j.	PROPN
ejpam-6556	902	6	v.	v.	PROPN
ejpam-6556	902	7	cortez	cortez	PROPN
ejpam-6556	902	8	,	,	PUNCT
ejpam-6556	902	9	a.	a.	NOUN
ejpam-6556	902	10	kashuri	kashuri	PROPN
ejpam-6556	902	11	,	,	PUNCT
ejpam-6556	902	12	and	and	CCONJ
ejpam-6556	903	1	j.	j.	PROPN
ejpam-6556	903	2	e.	e.	PROPN
ejpam-6556	903	3	h.	h.	PROPN
ejpam-6556	903	4	hernández	hernández	PROPN
ejpam-6556	903	5	.	.	PUNCT
ejpam-6556	903	6	trapezium	trapezium	NOUN
ejpam-6556	903	7	-	-	PUNCT
ejpam-6556	903	8	type	type	NOUN
ejpam-6556	903	9	inequalities	inequality	NOUN
ejpam-6556	903	10	for	for	ADP
ejpam-6556	903	11	raina	raina	PROPN
ejpam-6556	903	12	’s	’s	PART
ejpam-6556	903	13	fractional	fractional	ADJ
ejpam-6556	903	14	integrals	integral	NOUN
ejpam-6556	903	15	operator	operator	NOUN
ejpam-6556	903	16	using	use	VERB
ejpam-6556	903	17	generalized	generalized	ADJ
ejpam-6556	903	18	convex	convex	NOUN
ejpam-6556	903	19	functions	function	NOUN
ejpam-6556	903	20	.	.	PUNCT
ejpam-6556	904	1	symmetry	symmetry	NOUN
ejpam-6556	904	2	,	,	PUNCT
ejpam-6556	904	3	12:1034	12:1034	NUM
ejpam-6556	904	4	,	,	PUNCT
ejpam-6556	904	5	2020	2020	NUM
ejpam-6556	904	6	.	.	PUNCT
ejpam-6556	905	1	[	[	X
ejpam-6556	905	2	47	47	NUM
ejpam-6556	905	3	]	]	X
ejpam-6556	905	4	h.	h.	PROPN
ejpam-6556	905	5	ahmad	ahmad	PROPN
ejpam-6556	905	6	,	,	PUNCT
ejpam-6556	905	7	m.	m.	NOUN
ejpam-6556	905	8	tariq	tariq	PROPN
ejpam-6556	905	9	,	,	PUNCT
ejpam-6556	905	10	s.	s.	PROPN
ejpam-6556	905	11	k.	k.	PROPN
ejpam-6556	905	12	sahoo	sahoo	PROPN
ejpam-6556	905	13	,	,	PUNCT
ejpam-6556	905	14	j.	j.	PROPN
ejpam-6556	905	15	baili	baili	PROPN
ejpam-6556	905	16	,	,	PUNCT
ejpam-6556	905	17	and	and	CCONJ
ejpam-6556	905	18	c.	c.	PROPN
ejpam-6556	905	19	cesarano	cesarano	PROPN
ejpam-6556	905	20	.	.	PUNCT
ejpam-6556	906	1	new	new	ADJ
ejpam-6556	906	2	estimations	estimation	NOUN
ejpam-6556	906	3	of	of	ADP
ejpam-6556	906	4	hermite	hermite	ADJ
ejpam-6556	906	5	-	-	PUNCT
ejpam-6556	906	6	hadamard	hadamard	ADJ
ejpam-6556	906	7	type	type	NOUN
ejpam-6556	906	8	integral	integral	ADJ
ejpam-6556	906	9	inequalities	inequality	NOUN
ejpam-6556	906	10	for	for	ADP
ejpam-6556	906	11	special	special	ADJ
ejpam-6556	906	12	functions	function	NOUN
ejpam-6556	906	13	.	.	PUNCT
ejpam-6556	907	1	fractal	fractal	ADJ
ejpam-6556	907	2	and	and	CCONJ
ejpam-6556	907	3	fractional	fractional	ADJ
ejpam-6556	907	4	,	,	PUNCT
ejpam-6556	907	5	5:144	5:144	NUM
ejpam-6556	907	6	,	,	PUNCT
ejpam-6556	907	7	2021	2021	NUM
ejpam-6556	907	8	.	.	PUNCT
ejpam-6556	908	1	[	[	X
ejpam-6556	908	2	48	48	NUM
ejpam-6556	908	3	]	]	PUNCT
ejpam-6556	908	4	d.	d.	PROPN
ejpam-6556	908	5	s.	s.	PROPN
ejpam-6556	908	6	mitrinovic	mitrinovic	PROPN
ejpam-6556	908	7	,	,	PUNCT
ejpam-6556	908	8	j.	j.	PROPN
ejpam-6556	908	9	e.	e.	PROPN
ejpam-6556	908	10	pecaric	pecaric	PROPN
ejpam-6556	908	11	,	,	PUNCT
ejpam-6556	908	12	and	and	CCONJ
ejpam-6556	908	13	a.	a.	NOUN
ejpam-6556	908	14	m.	m.	NOUN
ejpam-6556	908	15	fink	fink	PROPN
ejpam-6556	908	16	.	.	PUNCT
ejpam-6556	909	1	classical	classical	ADJ
ejpam-6556	909	2	and	and	CCONJ
ejpam-6556	909	3	new	new	ADJ
ejpam-6556	909	4	inequalities	inequality	NOUN
ejpam-6556	909	5	in	in	ADP
ejpam-6556	909	6	analysis	analysis	NOUN
ejpam-6556	909	7	.	.	PUNCT
ejpam-6556	910	1	kluwer	kluwer	NOUN
ejpam-6556	910	2	academic	academic	PROPN
ejpam-6556	910	3	,	,	PUNCT
ejpam-6556	910	4	dordrecht	dordrecht	PROPN
ejpam-6556	910	5	,	,	PUNCT
ejpam-6556	910	6	the	the	DET
ejpam-6556	910	7	netherlands	netherlands	PROPN
ejpam-6556	910	8	,	,	PUNCT
ejpam-6556	910	9	1993	1993	NUM
ejpam-6556	910	10	.	.	PUNCT
ejpam-6556	911	1	[	[	X
ejpam-6556	911	2	49	49	NUM
ejpam-6556	911	3	]	]	PUNCT
ejpam-6556	911	4	a.	a.	NOUN
ejpam-6556	911	5	atangana	atangana	PROPN
ejpam-6556	911	6	and	and	CCONJ
ejpam-6556	911	7	d.	d.	PROPN
ejpam-6556	911	8	baleanu	baleanu	PROPN
ejpam-6556	911	9	.	.	PUNCT
ejpam-6556	912	1	new	new	ADJ
ejpam-6556	912	2	fractional	fractional	ADJ
ejpam-6556	912	3	derivatives	derivative	NOUN
ejpam-6556	912	4	with	with	ADP
ejpam-6556	912	5	non	non	ADJ
ejpam-6556	912	6	-	-	ADJ
ejpam-6556	912	7	local	local	ADJ
ejpam-6556	912	8	and	and	CCONJ
ejpam-6556	912	9	nonsingular	nonsingular	ADJ
ejpam-6556	912	10	kernel	kernel	PROPN
ejpam-6556	912	11	.	.	PUNCT
ejpam-6556	913	1	thermal	thermal	ADJ
ejpam-6556	913	2	science	science	NOUN
ejpam-6556	913	3	,	,	PUNCT
ejpam-6556	913	4	20:763–769	20:763–769	PROPN
ejpam-6556	913	5	,	,	PUNCT
ejpam-6556	913	6	2016	2016	NUM
ejpam-6556	913	7	.	.	PUNCT
ejpam-6556	914	1	[	[	X
ejpam-6556	914	2	50	50	NUM
ejpam-6556	914	3	]	]	PUNCT
ejpam-6556	914	4	t.	t.	NOUN
ejpam-6556	914	5	abdeljawad	abdeljawad	PROPN
ejpam-6556	914	6	and	and	CCONJ
ejpam-6556	914	7	d.	d.	PROPN
ejpam-6556	914	8	baleanu	baleanu	PROPN
ejpam-6556	914	9	.	.	PUNCT
ejpam-6556	915	1	integration	integration	NOUN
ejpam-6556	915	2	by	by	ADP
ejpam-6556	915	3	parts	part	NOUN
ejpam-6556	915	4	and	and	CCONJ
ejpam-6556	915	5	its	its	PRON
ejpam-6556	915	6	applications	application	NOUN
ejpam-6556	915	7	of	of	ADP
ejpam-6556	915	8	a	a	DET
ejpam-6556	915	9	new	new	ADJ
ejpam-6556	915	10	nonlocal	nonlocal	ADJ
ejpam-6556	915	11	fractional	fractional	ADJ
ejpam-6556	915	12	derivative	derivative	NOUN
ejpam-6556	915	13	with	with	ADP
ejpam-6556	915	14	mittag	mittag	ADJ
ejpam-6556	915	15	-	-	PUNCT
ejpam-6556	915	16	leffler	leffler	NOUN
ejpam-6556	915	17	nonsingular	nonsingular	ADJ
ejpam-6556	915	18	kernel	kernel	PROPN
ejpam-6556	915	19	.	.	PUNCT
ejpam-6556	916	1	journal	journal	PROPN
ejpam-6556	916	2	of	of	ADP
ejpam-6556	916	3	nonlinear	nonlinear	PROPN
ejpam-6556	916	4	sciences	sciences	PROPN
ejpam-6556	916	5	and	and	CCONJ
ejpam-6556	916	6	applications	application	NOUN
ejpam-6556	916	7	,	,	PUNCT
ejpam-6556	916	8	10:1098–1107	10:1098–1107	NUM
ejpam-6556	916	9	,	,	PUNCT
ejpam-6556	916	10	2017	2017	NUM
ejpam-6556	916	11	.	.	PUNCT
ejpam-6556	917	1	[	[	X
ejpam-6556	917	2	51	51	NUM
ejpam-6556	917	3	]	]	PUNCT
ejpam-6556	917	4	a.	a.	NOUN
ejpam-6556	917	5	fernandez	fernandez	PROPN
ejpam-6556	917	6	and	and	CCONJ
ejpam-6556	917	7	p.	p.	PROPN
ejpam-6556	917	8	mohammed	mohammed	PROPN
ejpam-6556	917	9	.	.	PUNCT
ejpam-6556	918	1	hermite	hermite	PROPN
ejpam-6556	918	2	-	-	PUNCT
ejpam-6556	918	3	hadamard	hadamard	ADJ
ejpam-6556	918	4	inequalities	inequality	NOUN
ejpam-6556	918	5	in	in	ADP
ejpam-6556	918	6	fractional	fractional	ADJ
ejpam-6556	918	7	calculus	calculus	NOUN
ejpam-6556	918	8	defined	define	VERB
ejpam-6556	918	9	using	use	VERB
ejpam-6556	918	10	mittag	mittag	ADJ
ejpam-6556	918	11	-	-	PUNCT
ejpam-6556	918	12	leffler	leffler	NOUN
ejpam-6556	918	13	kernels	kernel	NOUN
ejpam-6556	918	14	.	.	PUNCT
ejpam-6556	919	1	mathematical	mathematical	ADJ
ejpam-6556	919	2	methods	method	NOUN
ejpam-6556	919	3	in	in	ADP
ejpam-6556	919	4	the	the	DET
ejpam-6556	919	5	applied	apply	VERB
ejpam-6556	919	6	sciences	science	NOUN
ejpam-6556	919	7	,	,	PUNCT
ejpam-6556	919	8	44:1–8	44:1–8	NOUN
ejpam-6556	919	9	,	,	PUNCT
ejpam-6556	919	10	2020	2020	NUM
ejpam-6556	919	11	.	.	PUNCT