id	sid	tid	token	lemma	pos
ejpam-5725	1	1	european	european	PROPN
ejpam-5725	1	2	journal	journal	PROPN
ejpam-5725	1	3	of	of	ADP
ejpam-5725	1	4	pure	pure	ADJ
ejpam-5725	1	5	and	and	CCONJ
ejpam-5725	1	6	applied	applied	ADJ
ejpam-5725	1	7	mathematics	mathematic	NOUN
ejpam-5725	1	8	2025	2025	NUM
ejpam-5725	1	9	,	,	PUNCT
ejpam-5725	1	10	vol	vol	NOUN
ejpam-5725	1	11	.	.	PROPN
ejpam-5725	1	12	18	18	NUM
ejpam-5725	1	13	,	,	PUNCT
ejpam-5725	1	14	issue	issue	NOUN
ejpam-5725	1	15	1	1	NUM
ejpam-5725	1	16	,	,	PUNCT
ejpam-5725	1	17	article	article	NOUN
ejpam-5725	1	18	number	number	NOUN
ejpam-5725	1	19	5725	5725	NUM
ejpam-5725	1	20	issn	issn	VERB
ejpam-5725	1	21	1307	1307	NUM
ejpam-5725	1	22	-	-	SYM
ejpam-5725	1	23	5543	5543	NUM
ejpam-5725	1	24	–	–	PUNCT
ejpam-5725	1	25	ejpam.com	ejpam.com	X
ejpam-5725	1	26	published	publish	VERB
ejpam-5725	1	27	by	by	ADP
ejpam-5725	1	28	new	new	PROPN
ejpam-5725	1	29	york	york	PROPN
ejpam-5725	1	30	business	business	PROPN
ejpam-5725	1	31	global	global	ADJ
ejpam-5725	1	32	new	new	ADJ
ejpam-5725	1	33	study	study	NOUN
ejpam-5725	1	34	of	of	ADP
ejpam-5725	1	35	prabhakar	prabhakar	NOUN
ejpam-5725	1	36	operators	operator	NOUN
ejpam-5725	1	37	associated	associate	VERB
ejpam-5725	1	38	with	with	ADP
ejpam-5725	1	39	inequalities	inequality	NOUN
ejpam-5725	1	40	and	and	CCONJ
ejpam-5725	1	41	its	its	PRON
ejpam-5725	1	42	significant	significant	ADJ
ejpam-5725	1	43	applications	application	NOUN
ejpam-5725	1	44	with	with	ADP
ejpam-5725	1	45	different	different	ADJ
ejpam-5725	1	46	convexity	convexity	NOUN
ejpam-5725	1	47	rana	rana	PROPN
ejpam-5725	1	48	safdar	safdar	PROPN
ejpam-5725	1	49	ali1,∗	ali1,∗	PROPN
ejpam-5725	1	50	,	,	PUNCT
ejpam-5725	1	51	nazia	nazia	PROPN
ejpam-5725	1	52	yaseen1	yaseen1	PROPN
ejpam-5725	1	53	,	,	PUNCT
ejpam-5725	1	54	gauhar	gauhar	PROPN
ejpam-5725	1	55	rahman2	rahman2	PROPN
ejpam-5725	1	56	,	,	PUNCT
ejpam-5725	1	57	ahmad	ahmad	PROPN
ejpam-5725	1	58	aloqaily3	aloqaily3	PROPN
ejpam-5725	1	59	,	,	PUNCT
ejpam-5725	1	60	nabil	nabil	PROPN
ejpam-5725	1	61	mlaiki3	mlaiki3	PROPN
ejpam-5725	1	62	1	1	NUM
ejpam-5725	1	63	department	department	NOUN
ejpam-5725	1	64	of	of	ADP
ejpam-5725	1	65	mathematics	mathematic	NOUN
ejpam-5725	1	66	and	and	CCONJ
ejpam-5725	1	67	statistics	statistic	NOUN
ejpam-5725	1	68	,	,	PUNCT
ejpam-5725	1	69	faculty	faculty	NOUN
ejpam-5725	1	70	of	of	ADP
ejpam-5725	1	71	science	science	NOUN
ejpam-5725	1	72	,	,	PUNCT
ejpam-5725	1	73	the	the	DET
ejpam-5725	1	74	university	university	NOUN
ejpam-5725	1	75	of	of	ADP
ejpam-5725	1	76	lahore	lahore	PROPN
ejpam-5725	1	77	,	,	PUNCT
ejpam-5725	1	78	sargodha	sargodha	PROPN
ejpam-5725	1	79	campus	campus	PROPN
ejpam-5725	1	80	,	,	PUNCT
ejpam-5725	1	81	sargodha	sargodha	PROPN
ejpam-5725	1	82	,	,	PUNCT
ejpam-5725	1	83	punjab	punjab	PROPN
ejpam-5725	1	84	,	,	PUNCT
ejpam-5725	1	85	pakistan	pakistan	PROPN
ejpam-5725	1	86	2	2	NUM
ejpam-5725	1	87	department	department	NOUN
ejpam-5725	1	88	of	of	ADP
ejpam-5725	1	89	mathematics	mathematic	NOUN
ejpam-5725	1	90	and	and	CCONJ
ejpam-5725	1	91	statistics	statistic	NOUN
ejpam-5725	1	92	,	,	PUNCT
ejpam-5725	1	93	faculty	faculty	NOUN
ejpam-5725	1	94	of	of	ADP
ejpam-5725	1	95	science	science	NOUN
ejpam-5725	1	96	,	,	PUNCT
ejpam-5725	1	97	hazara	hazara	PROPN
ejpam-5725	1	98	university	university	PROPN
ejpam-5725	1	99	,	,	PUNCT
ejpam-5725	1	100	mansehra	mansehra	ADJ
ejpam-5725	1	101	,	,	PUNCT
ejpam-5725	1	102	kpk	kpk	PROPN
ejpam-5725	1	103	,	,	PUNCT
ejpam-5725	1	104	pakistan	pakistan	PROPN
ejpam-5725	1	105	3	3	NUM
ejpam-5725	1	106	department	department	NOUN
ejpam-5725	1	107	of	of	ADP
ejpam-5725	1	108	mathematics	mathematic	NOUN
ejpam-5725	1	109	and	and	CCONJ
ejpam-5725	1	110	sciences	science	NOUN
ejpam-5725	1	111	,	,	PUNCT
ejpam-5725	1	112	prince	prince	PROPN
ejpam-5725	1	113	sultan	sultan	PROPN
ejpam-5725	1	114	university	university	PROPN
ejpam-5725	1	115	,	,	PUNCT
ejpam-5725	1	116	riyadh	riyadh	PROPN
ejpam-5725	1	117	11586	11586	NUM
ejpam-5725	1	118	,	,	PUNCT
ejpam-5725	1	119	saudi	saudi	PROPN
ejpam-5725	1	120	arabia	arabia	PROPN
ejpam-5725	1	121	abstract	abstract	NOUN
ejpam-5725	1	122	.	.	PUNCT
ejpam-5725	2	1	convexity	convexity	NOUN
ejpam-5725	2	2	plays	play	VERB
ejpam-5725	2	3	a	a	DET
ejpam-5725	2	4	dominant	dominant	ADJ
ejpam-5725	2	5	role	role	NOUN
ejpam-5725	2	6	in	in	ADP
ejpam-5725	2	7	the	the	DET
ejpam-5725	2	8	modification	modification	NOUN
ejpam-5725	2	9	of	of	ADP
ejpam-5725	2	10	fractional	fractional	ADJ
ejpam-5725	2	11	inequalities	inequality	NOUN
ejpam-5725	2	12	.	.	PUNCT
ejpam-5725	3	1	most	most	ADV
ejpam-5725	3	2	fractional	fractional	ADJ
ejpam-5725	3	3	inequalities	inequality	NOUN
ejpam-5725	3	4	are	be	AUX
ejpam-5725	3	5	proved	prove	VERB
ejpam-5725	3	6	based	base	VERB
ejpam-5725	3	7	on	on	ADP
ejpam-5725	3	8	different	different	ADJ
ejpam-5725	3	9	types	type	NOUN
ejpam-5725	3	10	of	of	ADP
ejpam-5725	3	11	convexity	convexity	NOUN
ejpam-5725	3	12	and	and	CCONJ
ejpam-5725	3	13	fractional	fractional	ADJ
ejpam-5725	3	14	operators	operator	NOUN
ejpam-5725	3	15	,	,	PUNCT
ejpam-5725	3	16	which	which	PRON
ejpam-5725	3	17	have	have	VERB
ejpam-5725	3	18	immense	immense	ADJ
ejpam-5725	3	19	applications	application	NOUN
ejpam-5725	3	20	in	in	ADP
ejpam-5725	3	21	various	various	ADJ
ejpam-5725	3	22	areas	area	NOUN
ejpam-5725	3	23	of	of	ADP
ejpam-5725	3	24	mathematics	mathematic	NOUN
ejpam-5725	3	25	.	.	PUNCT
ejpam-5725	4	1	this	this	DET
ejpam-5725	4	2	article	article	NOUN
ejpam-5725	4	3	aims	aim	VERB
ejpam-5725	4	4	to	to	PART
ejpam-5725	4	5	investigate	investigate	VERB
ejpam-5725	4	6	the	the	DET
ejpam-5725	4	7	hermite	hermite	PROPN
ejpam-5725	4	8	-	-	PUNCT
ejpam-5725	4	9	hadamard	hadamard	ADJ
ejpam-5725	4	10	type	type	NOUN
ejpam-5725	4	11	inequalities	inequality	NOUN
ejpam-5725	4	12	with	with	ADP
ejpam-5725	4	13	a	a	DET
ejpam-5725	4	14	different	different	ADJ
ejpam-5725	4	15	kind	kind	NOUN
ejpam-5725	4	16	of	of	ADP
ejpam-5725	4	17	convexity	convexity	NOUN
ejpam-5725	4	18	by	by	ADP
ejpam-5725	4	19	the	the	DET
ejpam-5725	4	20	implementation	implementation	NOUN
ejpam-5725	4	21	of	of	ADP
ejpam-5725	4	22	prabhakar	prabhakar	PROPN
ejpam-5725	4	23	fractional	fractional	ADJ
ejpam-5725	4	24	operators	operator	NOUN
ejpam-5725	4	25	.	.	PUNCT
ejpam-5725	5	1	moreover	moreover	ADV
ejpam-5725	5	2	,	,	PUNCT
ejpam-5725	5	3	we	we	PRON
ejpam-5725	5	4	discuss	discuss	VERB
ejpam-5725	5	5	the	the	DET
ejpam-5725	5	6	behavior	behavior	NOUN
ejpam-5725	5	7	of	of	ADP
ejpam-5725	5	8	trapezoidal	trapezoidal	ADJ
ejpam-5725	5	9	type	type	NOUN
ejpam-5725	5	10	inequalities	inequality	NOUN
ejpam-5725	5	11	for	for	ADP
ejpam-5725	5	12	the	the	DET
ejpam-5725	5	13	h	h	NOUN
ejpam-5725	5	14	-	-	PUNCT
ejpam-5725	5	15	godunova	godunova	ADJ
ejpam-5725	5	16	-	-	PUNCT
ejpam-5725	5	17	levin	levin	PROPN
ejpam-5725	5	18	pre	pre	PROPN
ejpam-5725	5	19	-	-	ADJ
ejpam-5725	5	20	invex	invex	ADJ
ejpam-5725	5	21	function	function	NOUN
ejpam-5725	5	22	through	through	ADP
ejpam-5725	5	23	prabhakar	prabhakar	NOUN
ejpam-5725	5	24	fractional	fractional	ADJ
ejpam-5725	5	25	operators	operator	NOUN
ejpam-5725	5	26	.	.	PUNCT
ejpam-5725	6	1	additionally	additionally	ADV
ejpam-5725	6	2	,	,	PUNCT
ejpam-5725	6	3	we	we	PRON
ejpam-5725	6	4	present	present	VERB
ejpam-5725	6	5	a	a	DET
ejpam-5725	6	6	comparison	comparison	NOUN
ejpam-5725	6	7	of	of	ADP
ejpam-5725	6	8	our	our	PRON
ejpam-5725	6	9	findings	finding	NOUN
ejpam-5725	6	10	with	with	ADP
ejpam-5725	6	11	existing	exist	VERB
ejpam-5725	6	12	literature	literature	NOUN
ejpam-5725	6	13	,	,	PUNCT
ejpam-5725	6	14	which	which	PRON
ejpam-5725	6	15	are	be	AUX
ejpam-5725	6	16	summarized	summarize	VERB
ejpam-5725	6	17	through	through	ADP
ejpam-5725	6	18	corollaries	corollary	NOUN
ejpam-5725	6	19	.	.	PUNCT
ejpam-5725	7	1	2020	2020	NUM
ejpam-5725	7	2	mathematics	mathematic	NOUN
ejpam-5725	7	3	subject	subject	NOUN
ejpam-5725	7	4	classifications	classification	NOUN
ejpam-5725	7	5	:	:	PUNCT
ejpam-5725	7	6	26a51	26a51	NUM
ejpam-5725	7	7	,	,	PUNCT
ejpam-5725	7	8	26d10,2	26d10,2	NUM
ejpam-5725	7	9	6a33	6a33	NOUN
ejpam-5725	7	10	,	,	PUNCT
ejpam-5725	7	11	26d20	26d20	NUM
ejpam-5725	7	12	key	key	ADJ
ejpam-5725	7	13	words	word	NOUN
ejpam-5725	7	14	and	and	CCONJ
ejpam-5725	7	15	phrases	phrase	NOUN
ejpam-5725	7	16	:	:	PUNCT
ejpam-5725	7	17	convexity	convexity	NOUN
ejpam-5725	7	18	,	,	PUNCT
ejpam-5725	7	19	hermite	hermite	ADJ
ejpam-5725	7	20	-	-	PUNCT
ejpam-5725	7	21	hadamard	hadamard	ADJ
ejpam-5725	7	22	inequalities	inequality	NOUN
ejpam-5725	7	23	,	,	PUNCT
ejpam-5725	7	24	prabhaker	prabhaker	NOUN
ejpam-5725	7	25	fractional	fractional	ADJ
ejpam-5725	7	26	integral	integral	ADJ
ejpam-5725	7	27	operators	operator	NOUN
ejpam-5725	7	28	,	,	PUNCT
ejpam-5725	7	29	trapezoid	trapezoid	ADJ
ejpam-5725	7	30	inequalities	inequality	NOUN
ejpam-5725	7	31	1	1	NUM
ejpam-5725	7	32	.	.	PUNCT
ejpam-5725	7	33	introduction	introduction	NOUN
ejpam-5725	7	34	fractional	fractional	ADJ
ejpam-5725	7	35	integrals	integral	NOUN
ejpam-5725	7	36	and	and	CCONJ
ejpam-5725	7	37	inequalities	inequality	NOUN
ejpam-5725	7	38	define	define	VERB
ejpam-5725	7	39	an	an	DET
ejpam-5725	7	40	essential	essential	ADJ
ejpam-5725	7	41	area	area	NOUN
ejpam-5725	7	42	of	of	ADP
ejpam-5725	7	43	research	research	NOUN
ejpam-5725	7	44	in	in	ADP
ejpam-5725	7	45	the	the	DET
ejpam-5725	7	46	field	field	NOUN
ejpam-5725	7	47	of	of	ADP
ejpam-5725	7	48	mathematical	mathematical	ADJ
ejpam-5725	7	49	analysis	analysis	NOUN
ejpam-5725	7	50	and	and	CCONJ
ejpam-5725	7	51	its	its	PRON
ejpam-5725	7	52	great	great	ADJ
ejpam-5725	7	53	applications	application	NOUN
ejpam-5725	7	54	[	[	X
ejpam-5725	7	55	1	1	NUM
ejpam-5725	7	56	,	,	PUNCT
ejpam-5725	7	57	16–19	16–19	NUM
ejpam-5725	7	58	,	,	PUNCT
ejpam-5725	7	59	21–23	21–23	NOUN
ejpam-5725	7	60	]	]	PUNCT
ejpam-5725	7	61	.	.	PUNCT
ejpam-5725	8	1	these	these	DET
ejpam-5725	8	2	notions	notion	NOUN
ejpam-5725	8	3	are	be	AUX
ejpam-5725	8	4	a	a	DET
ejpam-5725	8	5	generalization	generalization	NOUN
ejpam-5725	8	6	of	of	ADP
ejpam-5725	8	7	classical	classical	ADJ
ejpam-5725	8	8	integral	integral	ADJ
ejpam-5725	8	9	inequalities	inequality	NOUN
ejpam-5725	8	10	and	and	CCONJ
ejpam-5725	8	11	provide	provide	VERB
ejpam-5725	8	12	important	important	ADJ
ejpam-5725	8	13	new	new	ADJ
ejpam-5725	8	14	ideas	idea	NOUN
ejpam-5725	8	15	with	with	ADP
ejpam-5725	8	16	wide	wide	ADJ
ejpam-5725	8	17	areas	area	NOUN
ejpam-5725	8	18	of	of	ADP
ejpam-5725	8	19	eventual	eventual	ADJ
ejpam-5725	8	20	application	application	NOUN
ejpam-5725	8	21	.	.	PUNCT
ejpam-5725	9	1	with	with	ADP
ejpam-5725	9	2	regard	regard	NOUN
ejpam-5725	9	3	to	to	ADP
ejpam-5725	9	4	the	the	DET
ejpam-5725	9	5	integral	integral	ADJ
ejpam-5725	9	6	type	type	NOUN
ejpam-5725	9	7	of	of	ADP
ejpam-5725	9	8	inequalities	inequality	NOUN
ejpam-5725	9	9	,	,	PUNCT
ejpam-5725	9	10	it	it	PRON
ejpam-5725	9	11	is	be	AUX
ejpam-5725	9	12	also	also	ADV
ejpam-5725	9	13	observed	observe	VERB
ejpam-5725	9	14	that	that	SCONJ
ejpam-5725	9	15	an	an	DET
ejpam-5725	9	16	impressive	impressive	ADJ
ejpam-5725	9	17	development	development	NOUN
ejpam-5725	9	18	has	have	AUX
ejpam-5725	9	19	been	be	AUX
ejpam-5725	9	20	achieved	achieve	VERB
ejpam-5725	9	21	in	in	ADP
ejpam-5725	9	22	this	this	DET
ejpam-5725	9	23	area	area	NOUN
ejpam-5725	9	24	of	of	ADP
ejpam-5725	9	25	study	study	NOUN
ejpam-5725	9	26	as	as	SCONJ
ejpam-5725	9	27	these	these	DET
ejpam-5725	9	28	inequalities	inequality	NOUN
ejpam-5725	9	29	are	be	AUX
ejpam-5725	9	30	becoming	become	VERB
ejpam-5725	9	31	more	more	ADV
ejpam-5725	9	32	significant	significant	ADJ
ejpam-5725	10	1	to	to	AUX
ejpam-5725	10	2	pure	pure	ADJ
ejpam-5725	10	3	and	and	CCONJ
ejpam-5725	10	4	applied	applied	ADJ
ejpam-5725	10	5	mathematics	mathematic	NOUN
ejpam-5725	11	1	[	[	X
ejpam-5725	11	2	6	6	NUM
ejpam-5725	11	3	,	,	PUNCT
ejpam-5725	11	4	14	14	NUM
ejpam-5725	11	5	]	]	PUNCT
ejpam-5725	11	6	.	.	PUNCT
ejpam-5725	12	1	∗corresponding	∗corresponde	VERB
ejpam-5725	12	2	author	author	NOUN
ejpam-5725	12	3	.	.	PUNCT
ejpam-5725	13	1	doi	doi	NOUN
ejpam-5725	13	2	:	:	PUNCT
ejpam-5725	13	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5725	https://doi.org/10.29020/nybg.ejpam.v18i1.5725	ADJ
ejpam-5725	13	4	email	email	NOUN
ejpam-5725	13	5	addresses	address	NOUN
ejpam-5725	13	6	:	:	PUNCT
ejpam-5725	13	7	rsafdar0@gmail.com	rsafdar0@gmail.com	X
ejpam-5725	13	8	(	(	PUNCT
ejpam-5725	13	9	r.	r.	PROPN
ejpam-5725	13	10	s.	s.	PROPN
ejpam-5725	13	11	ali	ali	PROPN
ejpam-5725	13	12	)	)	PUNCT
ejpam-5725	13	13	,	,	PUNCT
ejpam-5725	13	14	naziaimran145@gmail.com	naziaimran145@gmail.com	X
ejpam-5725	14	1	(	(	PUNCT
ejpam-5725	14	2	n.	n.	NOUN
ejpam-5725	14	3	yaseen	yaseen	PROPN
ejpam-5725	14	4	)	)	PUNCT
ejpam-5725	14	5	,	,	PUNCT
ejpam-5725	14	6	gauhar55uom@gmail.com	gauhar55uom@gmail.com	X
ejpam-5725	14	7	(	(	PUNCT
ejpam-5725	14	8	g.	g.	PROPN
ejpam-5725	14	9	rehman	rehman	PROPN
ejpam-5725	14	10	)	)	PUNCT
ejpam-5725	14	11	,	,	PUNCT
ejpam-5725	15	1	maloqaily@psu.edu.sa	maloqaily@psu.edu.sa	PROPN
ejpam-5725	15	2	(	(	PUNCT
ejpam-5725	15	3	a.	a.	NOUN
ejpam-5725	15	4	aloqaily	aloqaily	ADV
ejpam-5725	15	5	)	)	PUNCT
ejpam-5725	15	6	,	,	PUNCT
ejpam-5725	15	7	nmlaiki@psu.edu.sa	nmlaiki@psu.edu.sa	NOUN
ejpam-5725	15	8	;	;	PUNCT
ejpam-5725	15	9	nmlaiki2012@gmail.com	nmlaiki2012@gmail.com	X
ejpam-5725	16	1	(	(	PUNCT
ejpam-5725	16	2	n.	n.	PROPN
ejpam-5725	16	3	mlaiki	mlaiki	PROPN
ejpam-5725	16	4	)	)	PUNCT
ejpam-5725	16	5	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5725	17	1	1	1	NUM
ejpam-5725	17	2	copyright	copyright	NOUN
ejpam-5725	17	3	:	:	PUNCT
ejpam-5725	17	4	©	©	PROPN
ejpam-5725	17	5	2025	2025	NUM
ejpam-5725	17	6	the	the	DET
ejpam-5725	17	7	author(s	author(s	NOUN
ejpam-5725	17	8	)	)	PUNCT
ejpam-5725	17	9	.	.	PUNCT
ejpam-5725	18	1	(	(	PUNCT
ejpam-5725	18	2	cc	cc	NOUN
ejpam-5725	18	3	by	by	ADP
ejpam-5725	18	4	-	-	PUNCT
ejpam-5725	18	5	nc	nc	PROPN
ejpam-5725	18	6	4.0	4.0	NUM
ejpam-5725	18	7	)	)	PUNCT
ejpam-5725	18	8	r.	r.	PROPN
ejpam-5725	18	9	s.	s.	PROPN
ejpam-5725	18	10	ali	ali	PROPN
ejpam-5725	18	11	et	et	PROPN
ejpam-5725	18	12	al	al	PROPN
ejpam-5725	18	13	.	.	PUNCT
ejpam-5725	18	14	/	/	SYM
ejpam-5725	18	15	eur	eur	PROPN
ejpam-5725	18	16	.	.	PUNCT
ejpam-5725	19	1	j.	j.	PROPN
ejpam-5725	19	2	pure	pure	PROPN
ejpam-5725	19	3	appl	appl	PROPN
ejpam-5725	19	4	.	.	PROPN
ejpam-5725	19	5	math	math	PROPN
ejpam-5725	19	6	,	,	PUNCT
ejpam-5725	19	7	18	18	NUM
ejpam-5725	19	8	(	(	PUNCT
ejpam-5725	19	9	1	1	NUM
ejpam-5725	19	10	)	)	PUNCT
ejpam-5725	19	11	(	(	PUNCT
ejpam-5725	19	12	2025	2025	NUM
ejpam-5725	19	13	)	)	PUNCT
ejpam-5725	19	14	,	,	PUNCT
ejpam-5725	19	15	5725	5725	NUM
ejpam-5725	19	16	2	2	NUM
ejpam-5725	19	17	of	of	ADP
ejpam-5725	19	18	14	14	NUM
ejpam-5725	19	19	the	the	DET
ejpam-5725	19	20	development	development	NOUN
ejpam-5725	19	21	of	of	ADP
ejpam-5725	19	22	the	the	DET
ejpam-5725	19	23	theory	theory	NOUN
ejpam-5725	19	24	of	of	ADP
ejpam-5725	19	25	convexity	convexity	NOUN
ejpam-5725	19	26	,	,	PUNCT
ejpam-5725	19	27	which	which	PRON
ejpam-5725	19	28	is	be	AUX
ejpam-5725	19	29	very	very	ADV
ejpam-5725	19	30	closely	closely	ADV
ejpam-5725	19	31	linked	link	VERB
ejpam-5725	19	32	to	to	ADP
ejpam-5725	19	33	inequality	inequality	NOUN
ejpam-5725	19	34	,	,	PUNCT
ejpam-5725	19	35	has	have	AUX
ejpam-5725	19	36	progressed	progress	VERB
ejpam-5725	19	37	considerably	considerably	ADV
ejpam-5725	19	38	.	.	PUNCT
ejpam-5725	20	1	it	it	PRON
ejpam-5725	20	2	is	be	AUX
ejpam-5725	20	3	worth	worth	ADJ
ejpam-5725	20	4	noting	note	VERB
ejpam-5725	20	5	that	that	SCONJ
ejpam-5725	20	6	convex	convex	NOUN
ejpam-5725	20	7	functions	function	NOUN
ejpam-5725	20	8	are	be	AUX
ejpam-5725	20	9	very	very	ADV
ejpam-5725	20	10	important	important	ADJ
ejpam-5725	20	11	in	in	ADP
ejpam-5725	20	12	the	the	DET
ejpam-5725	20	13	study	study	NOUN
ejpam-5725	20	14	and	and	CCONJ
ejpam-5725	20	15	derivation	derivation	NOUN
ejpam-5725	20	16	of	of	ADP
ejpam-5725	20	17	many	many	ADJ
ejpam-5725	20	18	integral	integral	ADJ
ejpam-5725	20	19	inequalities	inequality	NOUN
ejpam-5725	20	20	[	[	X
ejpam-5725	20	21	3	3	NUM
ejpam-5725	20	22	,	,	PUNCT
ejpam-5725	20	23	7	7	NUM
ejpam-5725	20	24	,	,	PUNCT
ejpam-5725	20	25	8	8	NUM
ejpam-5725	20	26	]	]	PUNCT
ejpam-5725	20	27	.	.	PUNCT
ejpam-5725	21	1	one	one	NUM
ejpam-5725	21	2	such	such	ADJ
ejpam-5725	21	3	is	be	AUX
ejpam-5725	21	4	the	the	DET
ejpam-5725	21	5	well	well	ADV
ejpam-5725	21	6	-	-	PUNCT
ejpam-5725	21	7	known	know	VERB
ejpam-5725	21	8	hermite	hermite	ADJ
ejpam-5725	21	9	-	-	PUNCT
ejpam-5725	21	10	hadamard	hadamard	ADJ
ejpam-5725	21	11	inequality	inequality	NOUN
ejpam-5725	21	12	.	.	PUNCT
ejpam-5725	22	1	formulated	formulate	VERB
ejpam-5725	22	2	by	by	ADP
ejpam-5725	22	3	charles	charle	NOUN
ejpam-5725	22	4	hermite	hermite	PROPN
ejpam-5725	22	5	in	in	ADP
ejpam-5725	22	6	1881	1881	NUM
ejpam-5725	22	7	and	and	CCONJ
ejpam-5725	22	8	modernized	modernize	VERB
ejpam-5725	22	9	by	by	ADP
ejpam-5725	22	10	jacques	jacques	PROPN
ejpam-5725	22	11	hadamard	hadamard	PROPN
ejpam-5725	22	12	in	in	ADP
ejpam-5725	22	13	1893	1893	NUM
ejpam-5725	22	14	,	,	PUNCT
ejpam-5725	22	15	the	the	DET
ejpam-5725	22	16	inequality	inequality	NOUN
ejpam-5725	22	17	has	have	AUX
ejpam-5725	22	18	been	be	AUX
ejpam-5725	22	19	a	a	DET
ejpam-5725	22	20	part	part	NOUN
ejpam-5725	22	21	of	of	ADP
ejpam-5725	22	22	fundamental	fundamental	ADJ
ejpam-5725	22	23	concepts	concept	NOUN
ejpam-5725	22	24	of	of	ADP
ejpam-5725	22	25	convexity	convexity	NOUN
ejpam-5725	22	26	.	.	PUNCT
ejpam-5725	23	1	the	the	DET
ejpam-5725	23	2	historical	historical	ADJ
ejpam-5725	23	3	background	background	NOUN
ejpam-5725	23	4	of	of	ADP
ejpam-5725	23	5	the	the	DET
ejpam-5725	23	6	hermite	hermite	PROPN
ejpam-5725	23	7	-	-	PUNCT
ejpam-5725	23	8	hadamard	hadamard	ADJ
ejpam-5725	23	9	inequality	inequality	NOUN
ejpam-5725	23	10	would	would	AUX
ejpam-5725	23	11	suggest	suggest	VERB
ejpam-5725	23	12	that	that	SCONJ
ejpam-5725	23	13	it	it	PRON
ejpam-5725	23	14	thrived	thrive	VERB
ejpam-5725	23	15	long	long	ADV
ejpam-5725	23	16	before	before	ADP
ejpam-5725	23	17	the	the	DET
ejpam-5725	23	18	mid-1970s	mid-1970s	NUM
ejpam-5725	23	19	revival	revival	NOUN
ejpam-5725	23	20	by	by	ADP
ejpam-5725	23	21	dragoslav	dragoslav	PROPN
ejpam-5725	23	22	mitrinović	mitrinović	PROPN
ejpam-5725	23	23	,	,	PUNCT
ejpam-5725	23	24	who	who	PRON
ejpam-5725	23	25	published	publish	VERB
ejpam-5725	23	26	several	several	ADJ
ejpam-5725	23	27	books	book	NOUN
ejpam-5725	23	28	on	on	ADP
ejpam-5725	23	29	the	the	DET
ejpam-5725	23	30	history	history	NOUN
ejpam-5725	23	31	of	of	ADP
ejpam-5725	23	32	mathematics	mathematic	NOUN
ejpam-5725	23	33	in	in	ADP
ejpam-5725	23	34	general	general	ADJ
ejpam-5725	23	35	and	and	CCONJ
ejpam-5725	23	36	convex	convex	ADJ
ejpam-5725	23	37	inequalities	inequality	NOUN
ejpam-5725	23	38	in	in	ADP
ejpam-5725	23	39	particular	particular	ADJ
ejpam-5725	23	40	[	[	PUNCT
ejpam-5725	23	41	9	9	NUM
ejpam-5725	23	42	,	,	PUNCT
ejpam-5725	23	43	15	15	NUM
ejpam-5725	23	44	]	]	PUNCT
ejpam-5725	23	45	.	.	PUNCT
ejpam-5725	24	1	recently	recently	ADV
ejpam-5725	24	2	,	,	PUNCT
ejpam-5725	24	3	various	various	ADJ
ejpam-5725	24	4	generalizations	generalization	NOUN
ejpam-5725	24	5	have	have	AUX
ejpam-5725	24	6	turned	turn	VERB
ejpam-5725	24	7	the	the	DET
ejpam-5725	24	8	studies	study	NOUN
ejpam-5725	24	9	in	in	ADP
ejpam-5725	24	10	inequality	inequality	NOUN
ejpam-5725	24	11	areas	area	NOUN
ejpam-5725	24	12	to	to	ADP
ejpam-5725	24	13	another	another	DET
ejpam-5725	24	14	range	range	NOUN
ejpam-5725	24	15	.	.	PUNCT
ejpam-5725	25	1	the	the	DET
ejpam-5725	25	2	classical	classical	ADJ
ejpam-5725	25	3	structure	structure	NOUN
ejpam-5725	25	4	of	of	ADP
ejpam-5725	25	5	differentiable	differentiable	ADJ
ejpam-5725	25	6	convex	convex	NOUN
ejpam-5725	25	7	functions	function	NOUN
ejpam-5725	25	8	was	be	AUX
ejpam-5725	25	9	broadened	broaden	VERB
ejpam-5725	25	10	by	by	ADP
ejpam-5725	25	11	the	the	DET
ejpam-5725	25	12	term	term	NOUN
ejpam-5725	25	13	invexity	invexity	NOUN
ejpam-5725	25	14	,	,	PUNCT
ejpam-5725	25	15	introduced	introduce	VERB
ejpam-5725	25	16	in	in	ADP
ejpam-5725	25	17	1981	1981	NUM
ejpam-5725	25	18	by	by	ADP
ejpam-5725	25	19	robert	robert	PROPN
ejpam-5725	25	20	hanson	hanson	PROPN
ejpam-5725	26	1	[	[	X
ejpam-5725	26	2	13	13	NUM
ejpam-5725	26	3	]	]	PUNCT
ejpam-5725	26	4	,	,	PUNCT
ejpam-5725	26	5	and	and	CCONJ
ejpam-5725	26	6	so	so	ADV
ejpam-5725	26	7	new	new	ADJ
ejpam-5725	26	8	optimization	optimization	NOUN
ejpam-5725	26	9	and	and	CCONJ
ejpam-5725	26	10	analysis	analysis	NOUN
ejpam-5725	26	11	areas	area	NOUN
ejpam-5725	26	12	could	could	AUX
ejpam-5725	26	13	be	be	AUX
ejpam-5725	26	14	developed	develop	VERB
ejpam-5725	26	15	.	.	PUNCT
ejpam-5725	27	1	building	build	VERB
ejpam-5725	27	2	on	on	ADP
ejpam-5725	27	3	this	this	PRON
ejpam-5725	27	4	,	,	PUNCT
ejpam-5725	27	5	mond	mond	PROPN
ejpam-5725	27	6	[	[	X
ejpam-5725	27	7	28	28	NUM
ejpam-5725	27	8	]	]	PUNCT
ejpam-5725	27	9	and	and	CCONJ
ejpam-5725	27	10	weir	weir	PROPN
ejpam-5725	27	11	[	[	X
ejpam-5725	27	12	27	27	NUM
ejpam-5725	27	13	]	]	PUNCT
ejpam-5725	27	14	further	far	ADV
ejpam-5725	27	15	developed	develop	VERB
ejpam-5725	27	16	the	the	DET
ejpam-5725	27	17	notion	notion	NOUN
ejpam-5725	27	18	of	of	ADP
ejpam-5725	27	19	preinvexity	preinvexity	NOUN
ejpam-5725	27	20	,	,	PUNCT
ejpam-5725	27	21	which	which	PRON
ejpam-5725	27	22	has	have	AUX
ejpam-5725	27	23	been	be	AUX
ejpam-5725	27	24	helpful	helpful	ADJ
ejpam-5725	27	25	in	in	ADP
ejpam-5725	27	26	perfecting	perfect	VERB
ejpam-5725	27	27	optimization	optimization	NOUN
ejpam-5725	27	28	theory	theory	NOUN
ejpam-5725	27	29	.	.	PUNCT
ejpam-5725	28	1	further	further	ADJ
ejpam-5725	28	2	advancements	advancement	NOUN
ejpam-5725	28	3	have	have	AUX
ejpam-5725	28	4	been	be	AUX
ejpam-5725	28	5	inclusive	inclusive	ADJ
ejpam-5725	28	6	of	of	ADP
ejpam-5725	28	7	various	various	ADJ
ejpam-5725	28	8	generalized	generalized	ADJ
ejpam-5725	28	9	concepts	concept	NOUN
ejpam-5725	28	10	of	of	ADP
ejpam-5725	28	11	convexity	convexity	NOUN
ejpam-5725	28	12	that	that	PRON
ejpam-5725	28	13	were	be	AUX
ejpam-5725	28	14	defined	define	VERB
ejpam-5725	28	15	.	.	PUNCT
ejpam-5725	29	1	dragomir	dragomir	PROPN
ejpam-5725	29	2	[	[	X
ejpam-5725	29	3	7	7	NUM
ejpam-5725	29	4	]	]	PUNCT
ejpam-5725	29	5	presented	present	VERB
ejpam-5725	29	6	the	the	DET
ejpam-5725	29	7	s	s	PROPN
ejpam-5725	29	8	-	-	PUNCT
ejpam-5725	29	9	godunova	godunova	ADJ
ejpam-5725	29	10	-	-	PUNCT
ejpam-5725	29	11	levin	levin	PROPN
ejpam-5725	29	12	type	type	NOUN
ejpam-5725	29	13	convexity	convexity	NOUN
ejpam-5725	29	14	,	,	PUNCT
ejpam-5725	29	15	which	which	PRON
ejpam-5725	29	16	has	have	AUX
ejpam-5725	29	17	been	be	AUX
ejpam-5725	29	18	the	the	DET
ejpam-5725	29	19	focus	focus	NOUN
ejpam-5725	29	20	of	of	ADP
ejpam-5725	29	21	many	many	ADJ
ejpam-5725	29	22	studies	study	NOUN
ejpam-5725	29	23	in	in	ADP
ejpam-5725	29	24	the	the	DET
ejpam-5725	29	25	subsequent	subsequent	ADJ
ejpam-5725	29	26	period	period	NOUN
ejpam-5725	29	27	[	[	X
ejpam-5725	29	28	20	20	NUM
ejpam-5725	29	29	]	]	PUNCT
ejpam-5725	29	30	.	.	PUNCT
ejpam-5725	30	1	moreover	moreover	ADV
ejpam-5725	30	2	,	,	PUNCT
ejpam-5725	30	3	the	the	DET
ejpam-5725	30	4	productive	productive	ADJ
ejpam-5725	30	5	concept	concept	NOUN
ejpam-5725	30	6	of	of	ADP
ejpam-5725	30	7	h	h	NOUN
ejpam-5725	30	8	-	-	PUNCT
ejpam-5725	30	9	convexity	convexity	NOUN
ejpam-5725	30	10	by	by	ADP
ejpam-5725	30	11	varošanec	varošanec	PROPN
ejpam-5725	30	12	[	[	X
ejpam-5725	30	13	26	26	NUM
ejpam-5725	30	14	]	]	PUNCT
ejpam-5725	30	15	and	and	CCONJ
ejpam-5725	30	16	also	also	ADV
ejpam-5725	30	17	h	h	ADJ
ejpam-5725	30	18	-	-	PUNCT
ejpam-5725	30	19	godunova	godunova	ADJ
ejpam-5725	30	20	-	-	PUNCT
ejpam-5725	30	21	levin	levin	PROPN
ejpam-5725	30	22	convexity	convexity	NOUN
ejpam-5725	30	23	and	and	CCONJ
ejpam-5725	30	24	preinvexity	preinvexity	NOUN
ejpam-5725	30	25	by	by	ADP
ejpam-5725	30	26	almutari	almutari	NOUN
ejpam-5725	30	27	[	[	X
ejpam-5725	30	28	4	4	NUM
ejpam-5725	30	29	]	]	PUNCT
ejpam-5725	30	30	opened	open	VERB
ejpam-5725	30	31	new	new	ADJ
ejpam-5725	30	32	avenues	avenue	NOUN
ejpam-5725	30	33	and	and	CCONJ
ejpam-5725	30	34	methods	method	NOUN
ejpam-5725	30	35	in	in	ADP
ejpam-5725	30	36	this	this	DET
ejpam-5725	30	37	area	area	NOUN
ejpam-5725	30	38	.	.	PUNCT
ejpam-5725	31	1	this	this	DET
ejpam-5725	31	2	paper	paper	NOUN
ejpam-5725	31	3	study	study	NOUN
ejpam-5725	31	4	h	h	PROPN
ejpam-5725	31	5	-	-	PUNCT
ejpam-5725	31	6	godunova	godunova	ADJ
ejpam-5725	31	7	-	-	PUNCT
ejpam-5725	31	8	levin	levin	PROPN
ejpam-5725	31	9	types	type	NOUN
ejpam-5725	31	10	of	of	ADP
ejpam-5725	31	11	convex	convex	NOUN
ejpam-5725	31	12	and	and	CCONJ
ejpam-5725	31	13	preinvex	preinvex	NOUN
ejpam-5725	31	14	functions	function	NOUN
ejpam-5725	31	15	and	and	CCONJ
ejpam-5725	31	16	the	the	DET
ejpam-5725	31	17	fractional	fractional	ADJ
ejpam-5725	31	18	integral	integral	ADJ
ejpam-5725	31	19	operators	operator	NOUN
ejpam-5725	31	20	,	,	PUNCT
ejpam-5725	31	21	including	include	VERB
ejpam-5725	31	22	the	the	DET
ejpam-5725	31	23	mittag	mittag	ADJ
ejpam-5725	31	24	-	-	PUNCT
ejpam-5725	31	25	leffler	leffler	NOUN
ejpam-5725	31	26	functions	function	NOUN
ejpam-5725	31	27	,	,	PUNCT
ejpam-5725	31	28	to	to	PART
ejpam-5725	31	29	achieve	achieve	VERB
ejpam-5725	31	30	the	the	DET
ejpam-5725	31	31	new	new	ADJ
ejpam-5725	31	32	fractional	fractional	ADJ
ejpam-5725	31	33	hermite	hermite	NOUN
ejpam-5725	31	34	-	-	PUNCT
ejpam-5725	31	35	hadamard	hadamard	PROPN
ejpam-5725	31	36	and	and	CCONJ
ejpam-5725	31	37	the	the	DET
ejpam-5725	31	38	trapezoid	trapezoid	ADJ
ejpam-5725	31	39	inequalities	inequality	NOUN
ejpam-5725	31	40	.	.	PUNCT
ejpam-5725	32	1	2	2	X
ejpam-5725	32	2	.	.	X
ejpam-5725	32	3	preliminaries	preliminary	NOUN
ejpam-5725	32	4	in	in	ADP
ejpam-5725	32	5	this	this	DET
ejpam-5725	32	6	section	section	NOUN
ejpam-5725	32	7	,	,	PUNCT
ejpam-5725	32	8	we	we	PRON
ejpam-5725	32	9	discuss	discuss	VERB
ejpam-5725	32	10	the	the	DET
ejpam-5725	32	11	basic	basic	ADJ
ejpam-5725	32	12	definitions	definition	NOUN
ejpam-5725	32	13	which	which	PRON
ejpam-5725	32	14	help	help	VERB
ejpam-5725	32	15	to	to	PART
ejpam-5725	32	16	understand	understand	VERB
ejpam-5725	32	17	our	our	PRON
ejpam-5725	32	18	main	main	ADJ
ejpam-5725	32	19	results	result	NOUN
ejpam-5725	32	20	.	.	PUNCT
ejpam-5725	33	1	definition	definition	NOUN
ejpam-5725	33	2	1	1	NUM
ejpam-5725	33	3	.	.	PUNCT
ejpam-5725	34	1	[	[	X
ejpam-5725	34	2	2	2	X
ejpam-5725	34	3	]	]	PUNCT
ejpam-5725	34	4	a	a	DET
ejpam-5725	34	5	function	function	NOUN
ejpam-5725	34	6	§	§	PROPN
ejpam-5725	34	7	:	:	PUNCT
ejpam-5725	34	8	i	i	PRON
ejpam-5725	34	9	→	→	PUNCT
ejpam-5725	34	10	r	r	NOUN
ejpam-5725	34	11	is	be	AUX
ejpam-5725	34	12	termed	term	VERB
ejpam-5725	34	13	convex	convex	ADJ
ejpam-5725	34	14	if	if	SCONJ
ejpam-5725	34	15	it	it	PRON
ejpam-5725	34	16	satisfies	satisfy	VERB
ejpam-5725	34	17	the	the	DET
ejpam-5725	34	18	following	follow	VERB
ejpam-5725	34	19	condition	condition	NOUN
ejpam-5725	34	20	:	:	PUNCT
ejpam-5725	35	1	§	§	PROPN
ejpam-5725	35	2	[	[	X
ejpam-5725	35	3	tos̊+	tos̊+	X
ejpam-5725	35	4	(	(	PUNCT
ejpam-5725	35	5	1−	1−	NUM
ejpam-5725	35	6	to)æ	to)æ	NOUN
ejpam-5725	35	7	]	]	PUNCT
ejpam-5725	35	8	≤	≤	NUM
ejpam-5725	35	9	to§(̊s	to§(̊s	NOUN
ejpam-5725	35	10	)	)	PUNCT
ejpam-5725	35	11	+	+	CCONJ
ejpam-5725	35	12	(	(	PUNCT
ejpam-5725	35	13	1−	1−	NUM
ejpam-5725	35	14	to)§(æ	to)§(æ	NOUN
ejpam-5725	35	15	)	)	PUNCT
ejpam-5725	35	16	,	,	PUNCT
ejpam-5725	35	17	for	for	SCONJ
ejpam-5725	35	18	all	all	PRON
ejpam-5725	35	19	to	to	AUX
ejpam-5725	35	20	∈	∈	PROPN
ejpam-5725	36	1	[	[	X
ejpam-5725	36	2	0	0	NUM
ejpam-5725	36	3	,	,	PUNCT
ejpam-5725	36	4	1	1	NUM
ejpam-5725	36	5	]	]	PUNCT
ejpam-5725	36	6	,	,	PUNCT
ejpam-5725	36	7	s̊,æ	s̊,æ	PROPN
ejpam-5725	36	8	∈	∈	PROPN
ejpam-5725	36	9	i.	i.	NOUN
ejpam-5725	36	10	building	building	NOUN
ejpam-5725	36	11	upon	upon	SCONJ
ejpam-5725	36	12	this	this	DET
ejpam-5725	36	13	concept	concept	NOUN
ejpam-5725	36	14	of	of	ADP
ejpam-5725	36	15	convexity	convexity	NOUN
ejpam-5725	36	16	,	,	PUNCT
ejpam-5725	36	17	we	we	PRON
ejpam-5725	36	18	can	can	AUX
ejpam-5725	36	19	establish	establish	VERB
ejpam-5725	36	20	the	the	DET
ejpam-5725	36	21	hermite	hermite	PROPN
ejpam-5725	36	22	-	-	PUNCT
ejpam-5725	36	23	hadamard	hadamard	ADJ
ejpam-5725	36	24	(	(	PUNCT
ejpam-5725	36	25	h	h	NOUN
ejpam-5725	36	26	-	-	PUNCT
ejpam-5725	36	27	h	h	NOUN
ejpam-5725	36	28	)	)	PUNCT
ejpam-5725	36	29	type	type	NOUN
ejpam-5725	36	30	inequality	inequality	NOUN
ejpam-5725	36	31	as	as	ADP
ejpam-5725	36	32	:	:	PUNCT
ejpam-5725	36	33	§	§	PROPN
ejpam-5725	36	34	(	(	PUNCT
ejpam-5725	36	35	s̊+æ	s̊+æ	PROPN
ejpam-5725	36	36	2	2	NUM
ejpam-5725	36	37	)	)	PUNCT
ejpam-5725	36	38	≤	≤	NOUN
ejpam-5725	36	39	1	1	NUM
ejpam-5725	37	1	æ−	æ−	PROPN
ejpam-5725	37	2	s̊	s̊	NOUN
ejpam-5725	37	3	∫	∫	PROPN
ejpam-5725	37	4	æ	æ	PROPN
ejpam-5725	37	5	s̊	s̊	PROPN
ejpam-5725	37	6	§	§	PROPN
ejpam-5725	37	7	(	(	PUNCT
ejpam-5725	37	8	to	to	PART
ejpam-5725	37	9	)	)	PUNCT
ejpam-5725	37	10	dto	dto	VERB
ejpam-5725	37	11	≤	≤	NUM
ejpam-5725	37	12	§	§	PROPN
ejpam-5725	37	13	(	(	PUNCT
ejpam-5725	37	14	̊s	̊s	ADJ
ejpam-5725	37	15	)	)	PUNCT
ejpam-5725	38	1	+	+	CCONJ
ejpam-5725	38	2	§	§	PROPN
ejpam-5725	38	3	(	(	PUNCT
ejpam-5725	38	4	æ	æ	NOUN
ejpam-5725	38	5	)	)	PUNCT
ejpam-5725	38	6	2	2	NUM
ejpam-5725	38	7	.	.	PUNCT
ejpam-5725	39	1	(	(	PUNCT
ejpam-5725	39	2	1	1	X
ejpam-5725	39	3	)	)	PUNCT
ejpam-5725	39	4	numerous	numerous	ADJ
ejpam-5725	39	5	related	related	ADJ
ejpam-5725	39	6	results	result	NOUN
ejpam-5725	39	7	are	be	AUX
ejpam-5725	39	8	presented	present	VERB
ejpam-5725	39	9	in	in	ADP
ejpam-5725	39	10	[	[	X
ejpam-5725	39	11	25	25	NUM
ejpam-5725	39	12	]	]	PUNCT
ejpam-5725	39	13	,	,	PUNCT
ejpam-5725	39	14	assuming	assume	VERB
ejpam-5725	39	15	s̊,æ	s̊,æ	NOUN
ejpam-5725	39	16	∈	∈	PROPN
ejpam-5725	39	17	i	i	PRON
ejpam-5725	39	18	⊆	⊆	NUM
ejpam-5725	39	19	rand̊s	rand̊s	ADJ
ejpam-5725	39	20	<	<	X
ejpam-5725	39	21	æ	æ	PROPN
ejpam-5725	39	22	.	.	PUNCT
ejpam-5725	39	23	definition	definition	NOUN
ejpam-5725	39	24	2	2	NUM
ejpam-5725	39	25	.	.	PUNCT
ejpam-5725	40	1	[	[	X
ejpam-5725	40	2	24	24	NUM
ejpam-5725	40	3	]	]	PUNCT
ejpam-5725	40	4	consider	consider	VERB
ejpam-5725	40	5	an	an	DET
ejpam-5725	40	6	invex	invex	NOUN
ejpam-5725	40	7	set	set	VERB
ejpam-5725	40	8	i	i	PRON
ejpam-5725	40	9	⊆	⊆	NUM
ejpam-5725	40	10	r	r	NOUN
ejpam-5725	40	11	defined	define	VERB
ejpam-5725	40	12	in	in	ADP
ejpam-5725	40	13	relation	relation	NOUN
ejpam-5725	40	14	to	to	ADP
ejpam-5725	40	15	a	a	DET
ejpam-5725	40	16	bifunction	bifunction	NOUN
ejpam-5725	40	17	§	§	PROPN
ejpam-5725	40	18	:	:	PUNCT
ejpam-5725	40	19	i	i	PRON
ejpam-5725	40	20	×	×	VERB
ejpam-5725	40	21	i	i	PRON
ejpam-5725	40	22	→	→	SYM
ejpam-5725	40	23	r.	r.	PROPN
ejpam-5725	40	24	for	for	ADP
ejpam-5725	40	25	æ	æ	PROPN
ejpam-5725	40	26	,	,	PUNCT
ejpam-5725	40	27	s̊	s̊	PROPN
ejpam-5725	40	28	∈	∈	PROPN
ejpam-5725	41	1	i	i	PRON
ejpam-5725	41	2	and	and	CCONJ
ejpam-5725	41	3	λ	λ	X
ejpam-5725	41	4	∈	∈	PROPN
ejpam-5725	42	1	[	[	X
ejpam-5725	42	2	0	0	NUM
ejpam-5725	42	3	,	,	PUNCT
ejpam-5725	42	4	1	1	NUM
ejpam-5725	42	5	]	]	PUNCT
ejpam-5725	42	6	,	,	PUNCT
ejpam-5725	42	7	we	we	PRON
ejpam-5725	42	8	define	define	VERB
ejpam-5725	42	9	:	:	PUNCT
ejpam-5725	42	10	s̊+	s̊+	NUM
ejpam-5725	42	11	λ§(æ	λ§(æ	ADJ
ejpam-5725	42	12	,	,	PUNCT
ejpam-5725	42	13	s̊	s̊	ADJ
ejpam-5725	42	14	)	)	PUNCT
ejpam-5725	42	15	∈	∈	PROPN
ejpam-5725	43	1	i	i	PRON
ejpam-5725	43	2	r.	r.	PROPN
ejpam-5725	43	3	s.	s.	PROPN
ejpam-5725	43	4	ali	ali	PROPN
ejpam-5725	43	5	et	et	PROPN
ejpam-5725	43	6	al	al	PROPN
ejpam-5725	43	7	.	.	PUNCT
ejpam-5725	43	8	/	/	SYM
ejpam-5725	43	9	eur	eur	PROPN
ejpam-5725	43	10	.	.	PUNCT
ejpam-5725	44	1	j.	j.	PROPN
ejpam-5725	44	2	pure	pure	PROPN
ejpam-5725	44	3	appl	appl	PROPN
ejpam-5725	44	4	.	.	PROPN
ejpam-5725	44	5	math	math	PROPN
ejpam-5725	44	6	,	,	PUNCT
ejpam-5725	44	7	18	18	NUM
ejpam-5725	44	8	(	(	PUNCT
ejpam-5725	44	9	1	1	NUM
ejpam-5725	44	10	)	)	PUNCT
ejpam-5725	44	11	(	(	PUNCT
ejpam-5725	44	12	2025	2025	NUM
ejpam-5725	44	13	)	)	PUNCT
ejpam-5725	44	14	,	,	PUNCT
ejpam-5725	44	15	5725	5725	NUM
ejpam-5725	44	16	3	3	NUM
ejpam-5725	44	17	of	of	ADP
ejpam-5725	44	18	14	14	NUM
ejpam-5725	44	19	definition	definition	NOUN
ejpam-5725	44	20	3	3	NUM
ejpam-5725	44	21	.	.	PUNCT
ejpam-5725	45	1	[	[	X
ejpam-5725	45	2	24	24	NUM
ejpam-5725	45	3	]	]	PUNCT
ejpam-5725	45	4	a	a	DET
ejpam-5725	45	5	function	function	NOUN
ejpam-5725	45	6	§	§	PROPN
ejpam-5725	45	7	:	:	PUNCT
ejpam-5725	45	8	i	i	PRON
ejpam-5725	45	9	→	→	PUNCT
ejpam-5725	45	10	r	r	NOUN
ejpam-5725	45	11	is	be	AUX
ejpam-5725	45	12	called	call	VERB
ejpam-5725	45	13	preinvex	preinvex	NOUN
ejpam-5725	45	14	for	for	ADP
ejpam-5725	45	15	æ	æ	PROPN
ejpam-5725	45	16	,	,	PUNCT
ejpam-5725	45	17	s̊	s̊	PROPN
ejpam-5725	45	18	∈	∈	PROPN
ejpam-5725	45	19	i	i	PRON
ejpam-5725	45	20	and	and	CCONJ
ejpam-5725	45	21	to	to	ADP
ejpam-5725	45	22	∈	∈	PROPN
ejpam-5725	46	1	[	[	X
ejpam-5725	46	2	0	0	NUM
ejpam-5725	46	3	,	,	PUNCT
ejpam-5725	46	4	1	1	NUM
ejpam-5725	46	5	]	]	PUNCT
ejpam-5725	46	6	if	if	SCONJ
ejpam-5725	46	7	:	:	PUNCT
ejpam-5725	46	8	§	§	PROPN
ejpam-5725	46	9	(	(	PUNCT
ejpam-5725	46	10	̊s+	̊s+	PROPN
ejpam-5725	46	11	toζ(æ	toζ(æ	PROPN
ejpam-5725	46	12	,	,	PUNCT
ejpam-5725	46	13	s̊	s̊	ADJ
ejpam-5725	46	14	)	)	PUNCT
ejpam-5725	46	15	)	)	PUNCT
ejpam-5725	46	16	≤	≤	NOUN
ejpam-5725	46	17	to§(æ	to§(æ	NOUN
ejpam-5725	46	18	)	)	PUNCT
ejpam-5725	46	19	+	+	CCONJ
ejpam-5725	46	20	(	(	PUNCT
ejpam-5725	46	21	1−	1−	NUM
ejpam-5725	46	22	to)§(̊s	to)§(̊s	PROPN
ejpam-5725	46	23	)	)	PUNCT
ejpam-5725	46	24	,	,	PUNCT
ejpam-5725	46	25	where	where	SCONJ
ejpam-5725	46	26	i	i	PRON
ejpam-5725	46	27	is	be	AUX
ejpam-5725	46	28	an	an	DET
ejpam-5725	46	29	invex	invex	NOUN
ejpam-5725	46	30	set	set	VERB
ejpam-5725	46	31	relative	relative	ADJ
ejpam-5725	46	32	to	to	ADP
ejpam-5725	46	33	the	the	DET
ejpam-5725	46	34	binary	binary	PROPN
ejpam-5725	46	35	function	function	PROPN
ejpam-5725	46	36	ζ	ζ	PROPN
ejpam-5725	46	37	.	.	PUNCT
ejpam-5725	46	38	definition	definition	NOUN
ejpam-5725	46	39	4	4	NUM
ejpam-5725	46	40	.	.	PUNCT
ejpam-5725	47	1	[	[	X
ejpam-5725	47	2	10	10	NUM
ejpam-5725	47	3	]	]	X
ejpam-5725	47	4	a	a	DET
ejpam-5725	47	5	function	function	NOUN
ejpam-5725	47	6	§	§	PROPN
ejpam-5725	47	7	:	:	PUNCT
ejpam-5725	47	8	i	i	PRON
ejpam-5725	47	9	⊆	⊆	NUM
ejpam-5725	47	10	r	r	NOUN
ejpam-5725	47	11	→	→	SYM
ejpam-5725	47	12	r	r	NOUN
ejpam-5725	47	13	,	,	PUNCT
ejpam-5725	47	14	which	which	PRON
ejpam-5725	47	15	takes	take	VERB
ejpam-5725	47	16	only	only	ADV
ejpam-5725	47	17	positive	positive	ADJ
ejpam-5725	47	18	values	value	NOUN
ejpam-5725	47	19	,	,	PUNCT
ejpam-5725	47	20	is	be	AUX
ejpam-5725	47	21	known	know	VERB
ejpam-5725	47	22	as	as	ADP
ejpam-5725	47	23	a	a	DET
ejpam-5725	47	24	godunova	godunova	PROPN
ejpam-5725	47	25	-	-	PUNCT
ejpam-5725	47	26	levin	levin	PROPN
ejpam-5725	47	27	function	function	PROPN
ejpam-5725	47	28	if	if	SCONJ
ejpam-5725	47	29	,	,	PUNCT
ejpam-5725	47	30	for	for	ADP
ejpam-5725	47	31	all	all	DET
ejpam-5725	47	32	æ	æ	PROPN
ejpam-5725	47	33	,	,	PUNCT
ejpam-5725	47	34	s̊	s̊	PROPN
ejpam-5725	47	35	∈	∈	PROPN
ejpam-5725	47	36	i	i	PRON
ejpam-5725	47	37	and	and	CCONJ
ejpam-5725	47	38	to	to	ADP
ejpam-5725	47	39	∈	∈	PROPN
ejpam-5725	47	40	(	(	PUNCT
ejpam-5725	47	41	0	0	NUM
ejpam-5725	47	42	,	,	PUNCT
ejpam-5725	47	43	1	1	NUM
ejpam-5725	47	44	)	)	PUNCT
ejpam-5725	47	45	,	,	PUNCT
ejpam-5725	47	46	the	the	DET
ejpam-5725	47	47	following	follow	VERB
ejpam-5725	47	48	inequality	inequality	NOUN
ejpam-5725	47	49	holds	hold	VERB
ejpam-5725	47	50	:	:	PUNCT
ejpam-5725	48	1	§	§	PROPN
ejpam-5725	48	2	(	(	PUNCT
ejpam-5725	48	3	toæ+	toæ+	NOUN
ejpam-5725	48	4	(	(	PUNCT
ejpam-5725	48	5	1−	1−	NUM
ejpam-5725	48	6	to)̊s	to)̊s	NOUN
ejpam-5725	48	7	)	)	PUNCT
ejpam-5725	48	8	≤	≤	NOUN
ejpam-5725	48	9	§	§	PROPN
ejpam-5725	48	10	(	(	PUNCT
ejpam-5725	48	11	æ	æ	NOUN
ejpam-5725	48	12	)	)	PUNCT
ejpam-5725	48	13	to	to	ADP
ejpam-5725	48	14	+	+	ADJ
ejpam-5725	48	15	§	§	PROPN
ejpam-5725	48	16	(	(	PUNCT
ejpam-5725	48	17	̊s	̊s	NOUN
ejpam-5725	48	18	)	)	PUNCT
ejpam-5725	48	19	1−	1−	NUM
ejpam-5725	48	20	to	to	ADP
ejpam-5725	48	21	,	,	PUNCT
ejpam-5725	48	22	for	for	ADP
ejpam-5725	48	23	all	all	DET
ejpam-5725	48	24	æ	æ	PROPN
ejpam-5725	48	25	,	,	PUNCT
ejpam-5725	48	26	s̊	s̊	PROPN
ejpam-5725	48	27	∈	∈	PROPN
ejpam-5725	48	28	i	i	PRON
ejpam-5725	48	29	,	,	PUNCT
ejpam-5725	48	30	to	to	ADP
ejpam-5725	48	31	∈	∈	PROPN
ejpam-5725	48	32	(	(	PUNCT
ejpam-5725	48	33	0	0	NUM
ejpam-5725	48	34	,	,	PUNCT
ejpam-5725	48	35	1	1	NUM
ejpam-5725	48	36	)	)	PUNCT
ejpam-5725	48	37	.	.	PUNCT
ejpam-5725	49	1	definition	definition	NOUN
ejpam-5725	49	2	5	5	NUM
ejpam-5725	49	3	.	.	PUNCT
ejpam-5725	50	1	[	[	X
ejpam-5725	50	2	4	4	X
ejpam-5725	50	3	]	]	PUNCT
ejpam-5725	50	4	assume	assume	VERB
ejpam-5725	50	5	h	h	NOUN
ejpam-5725	50	6	:	:	PUNCT
ejpam-5725	50	7	(	(	PUNCT
ejpam-5725	50	8	0	0	NUM
ejpam-5725	50	9	,	,	PUNCT
ejpam-5725	50	10	1	1	NUM
ejpam-5725	50	11	)	)	PUNCT
ejpam-5725	50	12	→	→	SYM
ejpam-5725	50	13	r	r	NOUN
ejpam-5725	50	14	is	be	AUX
ejpam-5725	50	15	a	a	DET
ejpam-5725	50	16	non	non	ADJ
ejpam-5725	50	17	-	-	ADJ
ejpam-5725	50	18	negative	negative	ADJ
ejpam-5725	50	19	function	function	NOUN
ejpam-5725	50	20	.	.	PUNCT
ejpam-5725	51	1	we	we	PRON
ejpam-5725	51	2	say	say	VERB
ejpam-5725	51	3	a	a	DET
ejpam-5725	51	4	function	function	NOUN
ejpam-5725	51	5	§	§	PROPN
ejpam-5725	51	6	:	:	PUNCT
ejpam-5725	51	7	i	i	PRON
ejpam-5725	51	8	→	→	PUNCT
ejpam-5725	51	9	r	r	NOUN
ejpam-5725	51	10	is	be	AUX
ejpam-5725	51	11	h	h	NOUN
ejpam-5725	51	12	-	-	PUNCT
ejpam-5725	51	13	godunova	godunova	ADJ
ejpam-5725	51	14	-	-	PUNCT
ejpam-5725	51	15	levin	levin	PROPN
ejpam-5725	51	16	if	if	SCONJ
ejpam-5725	51	17	,	,	PUNCT
ejpam-5725	51	18	for	for	ADP
ejpam-5725	51	19	any	any	DET
ejpam-5725	51	20	æ	æ	PROPN
ejpam-5725	51	21	,	,	PUNCT
ejpam-5725	51	22	s̊	s̊	PROPN
ejpam-5725	51	23	∈	∈	PROPN
ejpam-5725	51	24	i	i	PRON
ejpam-5725	51	25	and	and	CCONJ
ejpam-5725	51	26	to	to	ADP
ejpam-5725	51	27	∈	∈	PROPN
ejpam-5725	51	28	(	(	PUNCT
ejpam-5725	51	29	0	0	NUM
ejpam-5725	51	30	,	,	PUNCT
ejpam-5725	51	31	1	1	NUM
ejpam-5725	51	32	)	)	PUNCT
ejpam-5725	51	33	,	,	PUNCT
ejpam-5725	51	34	the	the	DET
ejpam-5725	51	35	following	follow	VERB
ejpam-5725	51	36	inequality	inequality	NOUN
ejpam-5725	51	37	holds	hold	VERB
ejpam-5725	51	38	:	:	PUNCT
ejpam-5725	51	39	§	§	PROPN
ejpam-5725	51	40	(	(	PUNCT
ejpam-5725	51	41	toæ+	toæ+	NOUN
ejpam-5725	51	42	(	(	PUNCT
ejpam-5725	51	43	1−	1−	NUM
ejpam-5725	51	44	to)̊s	to)̊s	NOUN
ejpam-5725	51	45	)	)	PUNCT
ejpam-5725	51	46	≤	≤	NOUN
ejpam-5725	51	47	§	§	PROPN
ejpam-5725	51	48	(	(	PUNCT
ejpam-5725	51	49	æ	æ	NOUN
ejpam-5725	51	50	)	)	PUNCT
ejpam-5725	51	51	h(to	h(to	NOUN
ejpam-5725	51	52	)	)	PUNCT
ejpam-5725	51	53	+	+	CCONJ
ejpam-5725	52	1	§	§	PROPN
ejpam-5725	52	2	(	(	PUNCT
ejpam-5725	52	3	̊s	̊s	ADJ
ejpam-5725	52	4	)	)	PUNCT
ejpam-5725	52	5	h(1−	h(1−	NOUN
ejpam-5725	52	6	to	to	PART
ejpam-5725	52	7	)	)	PUNCT
ejpam-5725	52	8	.	.	PUNCT
ejpam-5725	53	1	definition	definition	NOUN
ejpam-5725	53	2	6	6	NUM
ejpam-5725	53	3	.	.	PUNCT
ejpam-5725	54	1	[	[	X
ejpam-5725	54	2	4	4	X
ejpam-5725	54	3	]	]	X
ejpam-5725	54	4	a	a	DET
ejpam-5725	54	5	function	function	NOUN
ejpam-5725	54	6	§	§	PROPN
ejpam-5725	54	7	:	:	PUNCT
ejpam-5725	54	8	i	i	PRON
ejpam-5725	54	9	→	→	PUNCT
ejpam-5725	54	10	r	r	NOUN
ejpam-5725	54	11	is	be	AUX
ejpam-5725	54	12	called	call	VERB
ejpam-5725	54	13	h	h	NOUN
ejpam-5725	54	14	-	-	PUNCT
ejpam-5725	54	15	godunova	godunova	ADJ
ejpam-5725	54	16	-	-	PUNCT
ejpam-5725	54	17	levin	levin	PROPN
ejpam-5725	54	18	preinvex	preinvex	PROPN
ejpam-5725	54	19	with	with	ADP
ejpam-5725	54	20	respect	respect	NOUN
ejpam-5725	54	21	to	to	ADP
ejpam-5725	54	22	ζ	ζ	NOUN
ejpam-5725	54	23	if	if	SCONJ
ejpam-5725	54	24	,	,	PUNCT
ejpam-5725	54	25	for	for	ADP
ejpam-5725	54	26	any	any	DET
ejpam-5725	54	27	æ	æ	PROPN
ejpam-5725	54	28	,	,	PUNCT
ejpam-5725	54	29	s̊	s̊	PROPN
ejpam-5725	54	30	∈	∈	PROPN
ejpam-5725	54	31	i	i	PRON
ejpam-5725	54	32	and	and	CCONJ
ejpam-5725	54	33	to	to	ADP
ejpam-5725	54	34	∈	∈	PROPN
ejpam-5725	54	35	(	(	PUNCT
ejpam-5725	54	36	0	0	NUM
ejpam-5725	54	37	,	,	PUNCT
ejpam-5725	54	38	1	1	NUM
ejpam-5725	54	39	)	)	PUNCT
ejpam-5725	54	40	,	,	PUNCT
ejpam-5725	54	41	the	the	DET
ejpam-5725	54	42	inequality	inequality	NOUN
ejpam-5725	54	43	§	§	PROPN
ejpam-5725	54	44	(	(	PUNCT
ejpam-5725	54	45	æ	æ	PROPN
ejpam-5725	54	46	+	+	NUM
ejpam-5725	54	47	toζ	toζ	NOUN
ejpam-5725	54	48	(	(	PUNCT
ejpam-5725	54	49	̊s	̊s	PROPN
ejpam-5725	54	50	,	,	PUNCT
ejpam-5725	54	51	æ	æ	NOUN
ejpam-5725	54	52	)	)	PUNCT
ejpam-5725	54	53	)	)	PUNCT
ejpam-5725	54	54	≤	≤	NUM
ejpam-5725	54	55	§	§	PROPN
ejpam-5725	54	56	(	(	PUNCT
ejpam-5725	54	57	æ	æ	NOUN
ejpam-5725	54	58	)	)	PUNCT
ejpam-5725	54	59	h(1−	h(1−	NOUN
ejpam-5725	54	60	to	to	PART
ejpam-5725	54	61	)	)	PUNCT
ejpam-5725	55	1	+	+	CCONJ
ejpam-5725	55	2	§	§	PROPN
ejpam-5725	55	3	(	(	PUNCT
ejpam-5725	55	4	̊s	̊s	NOUN
ejpam-5725	55	5	)	)	PUNCT
ejpam-5725	55	6	h(to	h(to	NOUN
ejpam-5725	55	7	)	)	PUNCT
ejpam-5725	55	8	,	,	PUNCT
ejpam-5725	55	9	is	be	AUX
ejpam-5725	55	10	satisfied	satisfied	ADJ
ejpam-5725	55	11	.	.	PUNCT
ejpam-5725	56	1	definition	definition	NOUN
ejpam-5725	56	2	7	7	NUM
ejpam-5725	56	3	.	.	PUNCT
ejpam-5725	57	1	[	[	X
ejpam-5725	57	2	12	12	NUM
ejpam-5725	57	3	]	]	PUNCT
ejpam-5725	57	4	let	let	VERB
ejpam-5725	57	5	§	§	PROPN
ejpam-5725	57	6	∈	∈	PROPN
ejpam-5725	57	7	l1[æ	l1[æ	NOUN
ejpam-5725	57	8	,	,	PUNCT
ejpam-5725	57	9	s̊	s̊	ADJ
ejpam-5725	57	10	]	]	PUNCT
ejpam-5725	57	11	,	,	PUNCT
ejpam-5725	57	12	then	then	ADV
ejpam-5725	57	13	the	the	DET
ejpam-5725	57	14	riemann	riemann	PROPN
ejpam-5725	57	15	-	-	PUNCT
ejpam-5725	57	16	liouville	liouville	NOUN
ejpam-5725	57	17	left	left	ADJ
ejpam-5725	57	18	and	and	CCONJ
ejpam-5725	57	19	right	right	ADJ
ejpam-5725	57	20	fractional	fractional	ADJ
ejpam-5725	57	21	integrals	integral	NOUN
ejpam-5725	57	22	are	be	AUX
ejpam-5725	57	23	defined	define	VERB
ejpam-5725	57	24	as	as	SCONJ
ejpam-5725	57	25	follows	follow	VERB
ejpam-5725	57	26	:	:	PUNCT
ejpam-5725	57	27	iαæ+§(z	iαæ+§(z	X
ejpam-5725	57	28	)	)	PUNCT
ejpam-5725	57	29	=	=	SYM
ejpam-5725	57	30	1	1	NUM
ejpam-5725	57	31	γ(α	γ(α	NOUN
ejpam-5725	57	32	)	)	PUNCT
ejpam-5725	58	1	∫	∫	PROPN
ejpam-5725	59	1	z	z	PROPN
ejpam-5725	59	2	æ	æ	PROPN
ejpam-5725	60	1	(	(	PUNCT
ejpam-5725	60	2	z	z	NOUN
ejpam-5725	60	3	−	−	NOUN
ejpam-5725	60	4	u)α−1§(u	u)α−1§(u	NOUN
ejpam-5725	60	5	)	)	PUNCT
ejpam-5725	60	6	du	du	NOUN
ejpam-5725	60	7	,	,	PUNCT
ejpam-5725	60	8	z	z	NOUN
ejpam-5725	60	9	>	>	X
ejpam-5725	60	10	æ	æ	PROPN
ejpam-5725	60	11	,	,	PUNCT
ejpam-5725	60	12	iαs̊−§(z	iαs̊−§(z	PROPN
ejpam-5725	60	13	)	)	PUNCT
ejpam-5725	60	14	=	=	SYM
ejpam-5725	60	15	1	1	NUM
ejpam-5725	60	16	γ(α	γ(α	NOUN
ejpam-5725	60	17	)	)	PUNCT
ejpam-5725	60	18	∫	∫	PROPN
ejpam-5725	61	1	s̊	s̊	PROPN
ejpam-5725	61	2	z	z	PROPN
ejpam-5725	61	3	(	(	PUNCT
ejpam-5725	61	4	u−	u−	PROPN
ejpam-5725	61	5	z)α−1§(u	z)α−1§(u	PUNCT
ejpam-5725	61	6	)	)	PUNCT
ejpam-5725	61	7	du	du	PROPN
ejpam-5725	61	8	,	,	PUNCT
ejpam-5725	61	9	z	z	NOUN
ejpam-5725	61	10	<	<	X
ejpam-5725	61	11	s̊.	s̊.	PROPN
ejpam-5725	61	12	definition	definition	NOUN
ejpam-5725	61	13	8	8	NUM
ejpam-5725	61	14	.	.	PUNCT
ejpam-5725	62	1	[	[	X
ejpam-5725	62	2	29	29	NUM
ejpam-5725	62	3	]	]	PUNCT
ejpam-5725	62	4	the	the	DET
ejpam-5725	62	5	gamma	gamma	NOUN
ejpam-5725	62	6	function	function	NOUN
ejpam-5725	62	7	is	be	AUX
ejpam-5725	62	8	defined	define	VERB
ejpam-5725	62	9	by	by	ADP
ejpam-5725	62	10	the	the	DET
ejpam-5725	62	11	following	follow	VERB
ejpam-5725	62	12	integral	integral	ADJ
ejpam-5725	62	13	representation	representation	NOUN
ejpam-5725	62	14	:	:	PUNCT
ejpam-5725	62	15	γ(z	γ(z	NUM
ejpam-5725	62	16	)	)	PUNCT
ejpam-5725	62	17	=	=	SYM
ejpam-5725	63	1	∫	∫	PROPN
ejpam-5725	64	1	+	+	NUM
ejpam-5725	64	2	∞	∞	PROPN
ejpam-5725	64	3	0	0	NUM
ejpam-5725	64	4	uz−1e−udu	uz−1e−udu	NOUN
ejpam-5725	64	5	,	,	PUNCT
ejpam-5725	64	6	for	for	ADP
ejpam-5725	64	7	ℜ(z	ℜ(z	NOUN
ejpam-5725	64	8	)	)	PUNCT
ejpam-5725	64	9	>	>	X
ejpam-5725	64	10	0	0	X
ejpam-5725	64	11	.	.	PUNCT
ejpam-5725	65	1	definition	definition	NOUN
ejpam-5725	65	2	9	9	NUM
ejpam-5725	65	3	.	.	PUNCT
ejpam-5725	66	1	[	[	X
ejpam-5725	66	2	29	29	NUM
ejpam-5725	66	3	]	]	PUNCT
ejpam-5725	66	4	the	the	DET
ejpam-5725	66	5	pochhammer	pochhammer	NOUN
ejpam-5725	66	6	symbol	symbol	NOUN
ejpam-5725	66	7	is	be	AUX
ejpam-5725	66	8	defined	define	VERB
ejpam-5725	66	9	as	as	SCONJ
ejpam-5725	66	10	follows	follow	VERB
ejpam-5725	66	11	:	:	PUNCT
ejpam-5725	66	12	(	(	PUNCT
ejpam-5725	67	1	z)k	z)k	NOUN
ejpam-5725	67	2	=	=	SYM
ejpam-5725	67	3	{	{	PUNCT
ejpam-5725	67	4	1	1	NUM
ejpam-5725	67	5	,	,	PUNCT
ejpam-5725	67	6	for	for	ADP
ejpam-5725	67	7	k	k	PROPN
ejpam-5725	67	8	=	=	SYM
ejpam-5725	67	9	0	0	NUM
ejpam-5725	67	10	,	,	PUNCT
ejpam-5725	67	11	z	z	PROPN
ejpam-5725	67	12	̸=	̸=	PROPN
ejpam-5725	67	13	0	0	NUM
ejpam-5725	67	14	,	,	PUNCT
ejpam-5725	67	15	z(z	z(z	NOUN
ejpam-5725	67	16	+	+	CCONJ
ejpam-5725	67	17	1	1	NUM
ejpam-5725	67	18	)	)	PUNCT
ejpam-5725	67	19	·	·	PUNCT
ejpam-5725	67	20	·	·	PUNCT
ejpam-5725	67	21	·	·	PUNCT
ejpam-5725	67	22	(	(	PUNCT
ejpam-5725	67	23	z	z	X
ejpam-5725	67	24	+	+	CCONJ
ejpam-5725	67	25	k	k	PROPN
ejpam-5725	67	26	−	−	NOUN
ejpam-5725	67	27	1	1	NUM
ejpam-5725	67	28	)	)	PUNCT
ejpam-5725	67	29	,	,	PUNCT
ejpam-5725	67	30	for	for	ADP
ejpam-5725	67	31	k	k	PROPN
ejpam-5725	67	32	≥	≥	PROPN
ejpam-5725	67	33	1	1	NUM
ejpam-5725	67	34	.	.	PUNCT
ejpam-5725	68	1	for	for	ADP
ejpam-5725	68	2	k	k	PROPN
ejpam-5725	68	3	∈	∈	PROPN
ejpam-5725	68	4	n	n	PROPN
ejpam-5725	68	5	and	and	CCONJ
ejpam-5725	68	6	z	z	PROPN
ejpam-5725	68	7	∈	∈	PROPN
ejpam-5725	68	8	c.	c.	NOUN
ejpam-5725	68	9	(	(	PUNCT
ejpam-5725	68	10	z)k	z)k	NOUN
ejpam-5725	68	11	=	=	SYM
ejpam-5725	68	12	γ(z	γ(z	PROPN
ejpam-5725	68	13	+	+	CCONJ
ejpam-5725	68	14	k	k	ADJ
ejpam-5725	68	15	)	)	PUNCT
ejpam-5725	68	16	γ(z	γ(z	PROPN
ejpam-5725	68	17	)	)	PUNCT
ejpam-5725	68	18	,	,	PUNCT
ejpam-5725	68	19	where	where	SCONJ
ejpam-5725	68	20	γ	γ	PROPN
ejpam-5725	68	21	is	be	AUX
ejpam-5725	68	22	the	the	DET
ejpam-5725	68	23	gamma	gamma	PROPN
ejpam-5725	68	24	function	function	NOUN
ejpam-5725	68	25	.	.	PUNCT
ejpam-5725	69	1	r.	r.	PROPN
ejpam-5725	69	2	s.	s.	PROPN
ejpam-5725	69	3	ali	ali	PROPN
ejpam-5725	69	4	et	et	PROPN
ejpam-5725	69	5	al	al	PROPN
ejpam-5725	69	6	.	.	PUNCT
ejpam-5725	69	7	/	/	SYM
ejpam-5725	69	8	eur	eur	PROPN
ejpam-5725	69	9	.	.	PUNCT
ejpam-5725	70	1	j.	j.	PROPN
ejpam-5725	70	2	pure	pure	PROPN
ejpam-5725	70	3	appl	appl	PROPN
ejpam-5725	70	4	.	.	PROPN
ejpam-5725	70	5	math	math	PROPN
ejpam-5725	70	6	,	,	PUNCT
ejpam-5725	70	7	18	18	NUM
ejpam-5725	70	8	(	(	PUNCT
ejpam-5725	70	9	1	1	NUM
ejpam-5725	70	10	)	)	PUNCT
ejpam-5725	70	11	(	(	PUNCT
ejpam-5725	70	12	2025	2025	NUM
ejpam-5725	70	13	)	)	PUNCT
ejpam-5725	70	14	,	,	PUNCT
ejpam-5725	70	15	5725	5725	NUM
ejpam-5725	70	16	4	4	NUM
ejpam-5725	70	17	of	of	ADP
ejpam-5725	70	18	14	14	NUM
ejpam-5725	70	19	definition	definition	NOUN
ejpam-5725	70	20	10	10	NUM
ejpam-5725	70	21	.	.	PUNCT
ejpam-5725	71	1	[	[	X
ejpam-5725	71	2	5	5	X
ejpam-5725	71	3	]	]	PUNCT
ejpam-5725	71	4	the	the	DET
ejpam-5725	71	5	mittag	mittag	ADJ
ejpam-5725	71	6	-	-	PUNCT
ejpam-5725	71	7	leffler	leffler	NOUN
ejpam-5725	71	8	function	function	NOUN
ejpam-5725	71	9	of	of	ADP
ejpam-5725	71	10	three	three	NUM
ejpam-5725	71	11	parameters	parameter	NOUN
ejpam-5725	71	12	:	:	PUNCT
ejpam-5725	71	13	eα	eα	PROPN
ejpam-5725	71	14	β	β	X
ejpam-5725	71	15	,	,	PUNCT
ejpam-5725	71	16	γ(w	γ(w	X
ejpam-5725	71	17	;	;	PUNCT
ejpam-5725	71	18	p	p	X
ejpam-5725	71	19	)	)	PUNCT
ejpam-5725	71	20	=	=	PUNCT
ejpam-5725	72	1	+	+	ADP
ejpam-5725	72	2	∞∑	∞∑	NUM
ejpam-5725	72	3	n=0	n=0	NUM
ejpam-5725	72	4	(	(	PUNCT
ejpam-5725	72	5	γ)n	γ)n	X
ejpam-5725	72	6	γ(βn+	γ(βn+	ADJ
ejpam-5725	72	7	α	α	X
ejpam-5725	72	8	)	)	PUNCT
ejpam-5725	72	9	wn	wn	PROPN
ejpam-5725	72	10	n	n	CCONJ
ejpam-5725	72	11	!	!	PROPN
ejpam-5725	72	12	,	,	PUNCT
ejpam-5725	72	13	(	(	PUNCT
ejpam-5725	72	14	w	w	NOUN
ejpam-5725	72	15	,	,	PUNCT
ejpam-5725	72	16	α	α	PROPN
ejpam-5725	72	17	,	,	PUNCT
ejpam-5725	72	18	β	β	X
ejpam-5725	72	19	,	,	PUNCT
ejpam-5725	72	20	γ	γ	PROPN
ejpam-5725	72	21	∈	∈	PROPN
ejpam-5725	72	22	c,ℜ(β	c,ℜ(β	PROPN
ejpam-5725	72	23	)	)	PUNCT
ejpam-5725	72	24	>	>	X
ejpam-5725	72	25	0	0	NUM
ejpam-5725	72	26	)	)	PUNCT
ejpam-5725	72	27	.	.	PUNCT
ejpam-5725	73	1	definition	definition	NOUN
ejpam-5725	73	2	11	11	NUM
ejpam-5725	73	3	.	.	PUNCT
ejpam-5725	74	1	[	[	X
ejpam-5725	74	2	11	11	NUM
ejpam-5725	74	3	]	]	PUNCT
ejpam-5725	74	4	let	let	VERB
ejpam-5725	74	5	α	α	PRON
ejpam-5725	74	6	,	,	PUNCT
ejpam-5725	74	7	β	β	X
ejpam-5725	74	8	,	,	PUNCT
ejpam-5725	74	9	γ	γ	PROPN
ejpam-5725	74	10	∈	∈	PROPN
ejpam-5725	74	11	c,ℜ(α	c,ℜ(α	PROPN
ejpam-5725	74	12	)	)	PUNCT
ejpam-5725	74	13	>	>	X
ejpam-5725	74	14	0,ℜ(β	0,ℜ(β	PROPN
ejpam-5725	74	15	)	)	PUNCT
ejpam-5725	74	16	>	>	X
ejpam-5725	75	1	0	0	X
ejpam-5725	75	2	.	.	PUNCT
ejpam-5725	76	1	let	let	VERB
ejpam-5725	76	2	§	§	PROPN
ejpam-5725	76	3	∈	∈	PROPN
ejpam-5725	76	4	l1[æ	l1[æ	NOUN
ejpam-5725	76	5	,	,	PUNCT
ejpam-5725	76	6	s̊	s̊	X
ejpam-5725	76	7	]	]	PUNCT
ejpam-5725	76	8	and	and	CCONJ
ejpam-5725	76	9	x	x	PUNCT
ejpam-5725	76	10	∈	∈	PROPN
ejpam-5725	77	1	[	[	X
ejpam-5725	77	2	æ	æ	X
ejpam-5725	77	3	,	,	PUNCT
ejpam-5725	77	4	s̊	s̊	X
ejpam-5725	77	5	]	]	PUNCT
ejpam-5725	77	6	.	.	PUNCT
ejpam-5725	78	1	then	then	ADV
ejpam-5725	78	2	the	the	DET
ejpam-5725	78	3	left	left	ADV
ejpam-5725	78	4	-	-	PUNCT
ejpam-5725	78	5	sided	side	VERB
ejpam-5725	78	6	and	and	CCONJ
ejpam-5725	78	7	the	the	DET
ejpam-5725	78	8	right	right	ADV
ejpam-5725	78	9	-	-	PUNCT
ejpam-5725	78	10	sided	sided	ADJ
ejpam-5725	78	11	prabhakar	prabhakar	NOUN
ejpam-5725	78	12	fractional	fractional	PROPN
ejpam-5725	78	13	operators	operator	NOUN
ejpam-5725	78	14	jα	jα	PROPN
ejpam-5725	78	15	,	,	PUNCT
ejpam-5725	78	16	γ	γ	PROPN
ejpam-5725	78	17	β;æ+§	β;æ+§	PROPN
ejpam-5725	78	18	and	and	CCONJ
ejpam-5725	78	19	jα	jα	PROPN
ejpam-5725	78	20	,	,	PUNCT
ejpam-5725	78	21	γ	γ	X
ejpam-5725	78	22	β	β	X
ejpam-5725	78	23	;	;	PUNCT
ejpam-5725	78	24	̊s−§	̊s−§	PROPN
ejpam-5725	78	25	,	,	PUNCT
ejpam-5725	78	26	are	be	AUX
ejpam-5725	78	27	defined	define	VERB
ejpam-5725	78	28	by	by	ADP
ejpam-5725	78	29	(	(	PUNCT
ejpam-5725	78	30	jα	jα	PROPN
ejpam-5725	78	31	,	,	PUNCT
ejpam-5725	78	32	γ	γ	NOUN
ejpam-5725	78	33	β;æ+§	β;æ+§	PROPN
ejpam-5725	78	34	)	)	PUNCT
ejpam-5725	79	1	(	(	PUNCT
ejpam-5725	79	2	x	x	X
ejpam-5725	79	3	;	;	PUNCT
ejpam-5725	79	4	r	r	X
ejpam-5725	79	5	)	)	PUNCT
ejpam-5725	79	6	=	=	SYM
ejpam-5725	79	7	∫	∫	PROPN
ejpam-5725	79	8	x	x	X
ejpam-5725	80	1	æ	æ	X
ejpam-5725	80	2	(	(	PUNCT
ejpam-5725	80	3	x−	x−	PROPN
ejpam-5725	80	4	t)β−1eα	t)β−1eα	PROPN
ejpam-5725	80	5	β	β	PROPN
ejpam-5725	80	6	,	,	PUNCT
ejpam-5725	80	7	γ	γ	X
ejpam-5725	80	8	(	(	PUNCT
ejpam-5725	80	9	ω(x−	ω(x−	NOUN
ejpam-5725	80	10	t)α	t)α	NOUN
ejpam-5725	80	11	;	;	PUNCT
ejpam-5725	80	12	r	r	X
ejpam-5725	80	13	)	)	PUNCT
ejpam-5725	80	14	§	§	PROPN
ejpam-5725	80	15	(	(	PUNCT
ejpam-5725	80	16	t)dt	t)dt	PROPN
ejpam-5725	80	17	,	,	PUNCT
ejpam-5725	80	18	(	(	PUNCT
ejpam-5725	80	19	jα	jα	PROPN
ejpam-5725	80	20	,	,	PUNCT
ejpam-5725	80	21	γ	γ	X
ejpam-5725	80	22	β	β	X
ejpam-5725	80	23	;	;	PUNCT
ejpam-5725	80	24	̊s−§	̊s−§	PROPN
ejpam-5725	80	25	)	)	PUNCT
ejpam-5725	80	26	(	(	PUNCT
ejpam-5725	80	27	x	x	X
ejpam-5725	80	28	;	;	PUNCT
ejpam-5725	80	29	r	r	X
ejpam-5725	80	30	)	)	PUNCT
ejpam-5725	80	31	=	=	SYM
ejpam-5725	80	32	∫	∫	PROPN
ejpam-5725	80	33	s̊	s̊	X
ejpam-5725	80	34	x	x	X
ejpam-5725	80	35	(	(	PUNCT
ejpam-5725	80	36	t−	t−	PROPN
ejpam-5725	80	37	x)β−1eα	x)β−1eα	PROPN
ejpam-5725	80	38	β	β	PROPN
ejpam-5725	80	39	,	,	PUNCT
ejpam-5725	80	40	γ	γ	X
ejpam-5725	80	41	(	(	PUNCT
ejpam-5725	80	42	ω(t−	ω(t−	PROPN
ejpam-5725	80	43	x)α	x)α	NUM
ejpam-5725	80	44	;	;	PUNCT
ejpam-5725	80	45	r	r	X
ejpam-5725	80	46	)	)	PUNCT
ejpam-5725	80	47	§	§	PROPN
ejpam-5725	80	48	(	(	PUNCT
ejpam-5725	80	49	t)dt	t)dt	PROPN
ejpam-5725	80	50	.	.	PROPN
ejpam-5725	80	51	in	in	ADP
ejpam-5725	80	52	this	this	DET
ejpam-5725	80	53	work	work	NOUN
ejpam-5725	80	54	,	,	PUNCT
ejpam-5725	80	55	the	the	DET
ejpam-5725	80	56	following	follow	VERB
ejpam-5725	80	57	notations	notation	NOUN
ejpam-5725	80	58	will	will	AUX
ejpam-5725	80	59	be	be	AUX
ejpam-5725	80	60	used	use	VERB
ejpam-5725	80	61	:(	:(	PUNCT
ejpam-5725	81	1	jæ	jæ	PRON
ejpam-5725	81	2	+	+	X
ejpam-5725	81	3	s̊,β	s̊,β	PROPN
ejpam-5725	81	4	)	)	PUNCT
ejpam-5725	81	5	(	(	PUNCT
ejpam-5725	81	6	ω	ω	NOUN
ejpam-5725	81	7	,	,	PUNCT
ejpam-5725	81	8	§	§	PROPN
ejpam-5725	81	9	)	)	PUNCT
ejpam-5725	81	10	=	=	SYM
ejpam-5725	81	11	(	(	PUNCT
ejpam-5725	81	12	jα	jα	PROPN
ejpam-5725	81	13	,	,	PUNCT
ejpam-5725	81	14	γ	γ	NOUN
ejpam-5725	81	15	β;æ+§	β;æ+§	PROPN
ejpam-5725	81	16	)	)	PUNCT
ejpam-5725	81	17	(	(	PUNCT
ejpam-5725	81	18	̊s	̊s	ADV
ejpam-5725	81	19	,	,	PUNCT
ejpam-5725	81	20	p	p	NOUN
ejpam-5725	81	21	)	)	PUNCT
ejpam-5725	81	22	(	(	PUNCT
ejpam-5725	81	23	js̊	js̊	PROPN
ejpam-5725	81	24	−	−	PROPN
ejpam-5725	82	1	æ	æ	PROPN
ejpam-5725	82	2	,	,	PUNCT
ejpam-5725	82	3	β	β	X
ejpam-5725	82	4	)	)	PUNCT
ejpam-5725	82	5	(	(	PUNCT
ejpam-5725	82	6	ω	ω	NOUN
ejpam-5725	82	7	,	,	PUNCT
ejpam-5725	82	8	§	§	PROPN
ejpam-5725	82	9	)	)	PUNCT
ejpam-5725	82	10	=	=	SYM
ejpam-5725	82	11	(	(	PUNCT
ejpam-5725	82	12	jα	jα	PROPN
ejpam-5725	82	13	,	,	PUNCT
ejpam-5725	82	14	γ	γ	X
ejpam-5725	82	15	β	β	X
ejpam-5725	82	16	;	;	PUNCT
ejpam-5725	82	17	̊s−§	̊s−§	PROPN
ejpam-5725	82	18	)	)	PUNCT
ejpam-5725	82	19	(	(	PUNCT
ejpam-5725	82	20	æ	æ	X
ejpam-5725	82	21	;	;	PUNCT
ejpam-5725	82	22	p	p	X
ejpam-5725	82	23	)	)	PUNCT
ejpam-5725	82	24	3	3	NUM
ejpam-5725	82	25	.	.	PUNCT
ejpam-5725	82	26	fractional	fractional	ADJ
ejpam-5725	82	27	analysis	analysis	NOUN
ejpam-5725	82	28	of	of	ADP
ejpam-5725	82	29	the	the	DET
ejpam-5725	82	30	hermite	hermite	PROPN
ejpam-5725	82	31	-	-	PUNCT
ejpam-5725	82	32	hadamard	hadamard	ADJ
ejpam-5725	82	33	(	(	PUNCT
ejpam-5725	82	34	h	h	NOUN
ejpam-5725	82	35	-	-	PUNCT
ejpam-5725	82	36	h	h	NOUN
ejpam-5725	82	37	)	)	PUNCT
ejpam-5725	82	38	type	type	NOUN
ejpam-5725	82	39	inequalities	inequality	NOUN
ejpam-5725	82	40	via	via	ADP
ejpam-5725	82	41	h	h	PROPN
ejpam-5725	82	42	-	-	PUNCT
ejpam-5725	82	43	godunova	godunova	ADJ
ejpam-5725	82	44	-	-	PUNCT
ejpam-5725	82	45	levin	levin	PROPN
ejpam-5725	82	46	convexity	convexity	PROPN
ejpam-5725	82	47	(	(	PUNCT
ejpam-5725	82	48	h	h	NOUN
ejpam-5725	82	49	-	-	PUNCT
ejpam-5725	82	50	gl	gl	NOUN
ejpam-5725	82	51	)	)	PUNCT
ejpam-5725	82	52	.	.	PUNCT
ejpam-5725	83	1	this	this	DET
ejpam-5725	83	2	section	section	NOUN
ejpam-5725	83	3	focuses	focus	VERB
ejpam-5725	83	4	on	on	ADP
ejpam-5725	83	5	deriving	derive	VERB
ejpam-5725	83	6	hermite	hermite	ADJ
ejpam-5725	83	7	-	-	PUNCT
ejpam-5725	83	8	hadamard	hadamard	ADJ
ejpam-5725	83	9	type	type	NOUN
ejpam-5725	83	10	inequalities	inequality	NOUN
ejpam-5725	83	11	for	for	ADP
ejpam-5725	83	12	h	h	NOUN
ejpam-5725	83	13	-	-	PUNCT
ejpam-5725	83	14	godunovalevin	godunovalevin	ADJ
ejpam-5725	83	15	convex	convex	NOUN
ejpam-5725	83	16	functions	function	NOUN
ejpam-5725	83	17	by	by	ADP
ejpam-5725	83	18	means	mean	NOUN
ejpam-5725	83	19	of	of	ADP
ejpam-5725	83	20	the	the	DET
ejpam-5725	83	21	fractional	fractional	ADJ
ejpam-5725	83	22	function	function	NOUN
ejpam-5725	83	23	operator	operator	NOUN
ejpam-5725	83	24	,	,	PUNCT
ejpam-5725	83	25	which	which	PRON
ejpam-5725	83	26	is	be	AUX
ejpam-5725	83	27	detailed	detail	VERB
ejpam-5725	83	28	below	below	ADV
ejpam-5725	83	29	.	.	PUNCT
ejpam-5725	84	1	theorem	theorem	NOUN
ejpam-5725	84	2	1	1	NUM
ejpam-5725	84	3	.	.	PUNCT
ejpam-5725	85	1	let	let	VERB
ejpam-5725	85	2	§	§	PROPN
ejpam-5725	85	3	:	:	PUNCT
ejpam-5725	86	1	[	[	X
ejpam-5725	86	2	æ	æ	X
ejpam-5725	86	3	,	,	PUNCT
ejpam-5725	86	4	s̊	s̊	X
ejpam-5725	86	5	]	]	X
ejpam-5725	86	6	→	→	PUNCT
ejpam-5725	86	7	r	r	NOUN
ejpam-5725	86	8	be	be	AUX
ejpam-5725	86	9	an	an	DET
ejpam-5725	86	10	h	h	NOUN
ejpam-5725	86	11	-	-	PUNCT
ejpam-5725	86	12	godunova	godunova	ADJ
ejpam-5725	86	13	-	-	PUNCT
ejpam-5725	86	14	levin	levin	PROPN
ejpam-5725	86	15	convex	convex	PROPN
ejpam-5725	86	16	function	function	NOUN
ejpam-5725	86	17	,	,	PUNCT
ejpam-5725	86	18	where	where	SCONJ
ejpam-5725	86	19	0	0	X
ejpam-5725	86	20	<	<	X
ejpam-5725	86	21	æ	æ	X
ejpam-5725	86	22	<	<	X
ejpam-5725	86	23	s̊	s̊	X
ejpam-5725	86	24	and	and	CCONJ
ejpam-5725	86	25	§	§	PROPN
ejpam-5725	86	26	∈	∈	PROPN
ejpam-5725	86	27	l1[æ	l1[æ	NOUN
ejpam-5725	86	28	,	,	PUNCT
ejpam-5725	86	29	s̊	s̊	ADJ
ejpam-5725	86	30	]	]	PUNCT
ejpam-5725	86	31	.	.	PUNCT
ejpam-5725	87	1	assume	assume	VERB
ejpam-5725	87	2	h	h	NOUN
ejpam-5725	87	3	:	:	PUNCT
ejpam-5725	87	4	(	(	PUNCT
ejpam-5725	87	5	0	0	NUM
ejpam-5725	87	6	,	,	PUNCT
ejpam-5725	87	7	1	1	NUM
ejpam-5725	87	8	)	)	PUNCT
ejpam-5725	87	9	→	→	SYM
ejpam-5725	87	10	r	r	NOUN
ejpam-5725	87	11	is	be	AUX
ejpam-5725	87	12	a	a	DET
ejpam-5725	87	13	positive	positive	ADJ
ejpam-5725	87	14	function	function	NOUN
ejpam-5725	87	15	with	with	ADP
ejpam-5725	87	16	h(to	h(to	NOUN
ejpam-5725	87	17	)	)	PUNCT
ejpam-5725	87	18	̸=	̸=	PROPN
ejpam-5725	87	19	0	0	NUM
ejpam-5725	87	20	;	;	PUNCT
ejpam-5725	87	21	then	then	ADV
ejpam-5725	87	22	,	,	PUNCT
ejpam-5725	87	23	h(1/2	h(1/2	PROPN
ejpam-5725	87	24	)	)	PUNCT
ejpam-5725	87	25	2	2	NUM
ejpam-5725	87	26	§	§	PROPN
ejpam-5725	87	27	(	(	PUNCT
ejpam-5725	87	28	æ+	æ+	PUNCT
ejpam-5725	87	29	s̊	s̊	PROPN
ejpam-5725	87	30	2	2	NUM
ejpam-5725	87	31	)	)	PUNCT
ejpam-5725	87	32	(	(	PUNCT
ejpam-5725	87	33	js̊	js̊	PROPN
ejpam-5725	87	34	−	−	PROPN
ejpam-5725	87	35	æ	æ	PROPN
ejpam-5725	87	36	,	,	PUNCT
ejpam-5725	87	37	β	β	X
ejpam-5725	87	38	)	)	PUNCT
ejpam-5725	87	39	(	(	PUNCT
ejpam-5725	87	40	ω′	ω′	PROPN
ejpam-5725	87	41	,	,	PUNCT
ejpam-5725	87	42	1	1	NUM
ejpam-5725	87	43	)	)	PUNCT
ejpam-5725	87	44	≤	≤	NOUN
ejpam-5725	87	45	1	1	NUM
ejpam-5725	87	46	2	2	NUM
ejpam-5725	87	47	[	[	X
ejpam-5725	87	48	(	(	PUNCT
ejpam-5725	87	49	ℑs̊−	ℑs̊−	X
ejpam-5725	87	50	æ	æ	PROPN
ejpam-5725	87	51	,	,	PUNCT
ejpam-5725	87	52	β	β	X
ejpam-5725	87	53	)	)	PUNCT
ejpam-5725	87	54	(	(	PUNCT
ejpam-5725	87	55	ω′	ω′	X
ejpam-5725	87	56	,	,	PUNCT
ejpam-5725	87	57	§	§	PROPN
ejpam-5725	87	58	)	)	PUNCT
ejpam-5725	88	1	+	+	CCONJ
ejpam-5725	88	2	(	(	PUNCT
ejpam-5725	88	3	jæ	jæ	X
ejpam-5725	88	4	+	+	CCONJ
ejpam-5725	88	5	s̊,β	s̊,β	PROPN
ejpam-5725	88	6	)	)	PUNCT
ejpam-5725	88	7	(	(	PUNCT
ejpam-5725	88	8	ω′	ω′	X
ejpam-5725	88	9	,	,	PUNCT
ejpam-5725	88	10	§	§	PROPN
ejpam-5725	88	11	)	)	PUNCT
ejpam-5725	88	12	]	]	PUNCT
ejpam-5725	89	1	≤	≤	NUM
ejpam-5725	89	2	§	§	PROPN
ejpam-5725	89	3	(	(	PUNCT
ejpam-5725	89	4	æ	æ	NOUN
ejpam-5725	89	5	)	)	PUNCT
ejpam-5725	89	6	+	+	CCONJ
ejpam-5725	89	7	§	§	PROPN
ejpam-5725	89	8	(	(	PUNCT
ejpam-5725	89	9	̊s	̊s	NOUN
ejpam-5725	89	10	)	)	PUNCT
ejpam-5725	89	11	2	2	NUM
ejpam-5725	89	12	∫	∫	NOUN
ejpam-5725	89	13	1	1	NUM
ejpam-5725	89	14	0	0	NUM
ejpam-5725	89	15	[	[	PUNCT
ejpam-5725	89	16	1	1	NUM
ejpam-5725	89	17	h(to	h(to	NOUN
ejpam-5725	89	18	)	)	PUNCT
ejpam-5725	89	19	+	+	CCONJ
ejpam-5725	89	20	1	1	NUM
ejpam-5725	89	21	h(1−	h(1−	NOUN
ejpam-5725	89	22	to	to	ADP
ejpam-5725	89	23	)	)	PUNCT
ejpam-5725	89	24	]	]	PUNCT
ejpam-5725	89	25	(	(	PUNCT
ejpam-5725	89	26	1−	1−	NUM
ejpam-5725	89	27	to	to	PART
ejpam-5725	89	28	)	)	PUNCT
ejpam-5725	89	29	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	89	30	,	,	PUNCT
ejpam-5725	89	31	γ	γ	X
ejpam-5725	89	32	(	(	PUNCT
ejpam-5725	89	33	ω(1−	ω(1−	NOUN
ejpam-5725	89	34	to	to	ADP
ejpam-5725	89	35	)	)	PUNCT
ejpam-5725	90	1	α	α	X
ejpam-5725	90	2	;	;	PUNCT
ejpam-5725	90	3	p	p	X
ejpam-5725	90	4	)	)	PUNCT
ejpam-5725	90	5	dto	dto	PROPN
ejpam-5725	90	6	,	,	PUNCT
ejpam-5725	90	7	ω′	ω′	X
ejpam-5725	91	1	=	=	SYM
ejpam-5725	91	2	ω	ω	PROPN
ejpam-5725	91	3	(	(	PUNCT
ejpam-5725	91	4	̊s−	̊s−	PROPN
ejpam-5725	91	5	æ)α	æ)α	PUNCT
ejpam-5725	91	6	.	.	PUNCT
ejpam-5725	92	1	proof	proof	NOUN
ejpam-5725	92	2	.	.	PUNCT
ejpam-5725	93	1	using	use	VERB
ejpam-5725	93	2	the	the	DET
ejpam-5725	93	3	h	h	NOUN
ejpam-5725	93	4	-godunova	-godunova	PROPN
ejpam-5725	93	5	-	-	PUNCT
ejpam-5725	93	6	levin	levin	PROPN
ejpam-5725	93	7	convexity	convexity	NOUN
ejpam-5725	93	8	of	of	ADP
ejpam-5725	93	9	§	§	PROPN
ejpam-5725	93	10	on	on	ADP
ejpam-5725	93	11	[	[	X
ejpam-5725	93	12	æ	æ	X
ejpam-5725	93	13	,	,	PUNCT
ejpam-5725	93	14	s̊	s̊	X
ejpam-5725	93	15	]	]	PUNCT
ejpam-5725	93	16	,	,	PUNCT
ejpam-5725	93	17	let	let	VERB
ejpam-5725	93	18	m	m	PRON
ejpam-5725	93	19	,	,	PUNCT
ejpam-5725	93	20	n	n	PRON
ejpam-5725	93	21	∈	∈	PROPN
ejpam-5725	94	1	[	[	X
ejpam-5725	94	2	æ	æ	X
ejpam-5725	94	3	,	,	PUNCT
ejpam-5725	94	4	s̊	s̊	X
ejpam-5725	94	5	]	]	PUNCT
ejpam-5725	94	6	,	,	PUNCT
ejpam-5725	94	7	and	and	CCONJ
ejpam-5725	94	8	we	we	PRON
ejpam-5725	94	9	obtain	obtain	VERB
ejpam-5725	94	10	§	§	PROPN
ejpam-5725	94	11	(	(	PUNCT
ejpam-5725	94	12	(	(	PUNCT
ejpam-5725	94	13	η)m+	η)m+	PROPN
ejpam-5725	94	14	(	(	PUNCT
ejpam-5725	94	15	1−	1−	NUM
ejpam-5725	94	16	η)n	η)n	NOUN
ejpam-5725	94	17	)	)	PUNCT
ejpam-5725	94	18	≤	≤	NUM
ejpam-5725	94	19	§	§	PROPN
ejpam-5725	94	20	(	(	PUNCT
ejpam-5725	94	21	m	m	NOUN
ejpam-5725	94	22	)	)	PUNCT
ejpam-5725	94	23	h(η	h(η	ADJ
ejpam-5725	94	24	)	)	PUNCT
ejpam-5725	95	1	+	+	CCONJ
ejpam-5725	95	2	§	§	PROPN
ejpam-5725	95	3	(	(	PUNCT
ejpam-5725	95	4	n	n	CCONJ
ejpam-5725	95	5	)	)	PUNCT
ejpam-5725	95	6	h(1−	h(1−	PROPN
ejpam-5725	95	7	η	η	PROPN
ejpam-5725	95	8	)	)	PUNCT
ejpam-5725	95	9	(	(	PUNCT
ejpam-5725	95	10	2	2	NUM
ejpam-5725	95	11	)	)	PUNCT
ejpam-5725	95	12	for	for	ADP
ejpam-5725	95	13	putting	put	VERB
ejpam-5725	95	14	the	the	DET
ejpam-5725	95	15	values	value	NOUN
ejpam-5725	95	16	m	m	NOUN
ejpam-5725	95	17	=	=	ADJ
ejpam-5725	95	18	toæ	toæ	NOUN
ejpam-5725	95	19	+	+	CCONJ
ejpam-5725	95	20	(	(	PUNCT
ejpam-5725	95	21	1	1	NUM
ejpam-5725	95	22	−	−	PROPN
ejpam-5725	95	23	to)̊s	to)̊s	NOUN
ejpam-5725	95	24	,	,	PUNCT
ejpam-5725	95	25	n	n	NOUN
ejpam-5725	95	26	=	=	PUNCT
ejpam-5725	95	27	(	(	PUNCT
ejpam-5725	95	28	1	1	NUM
ejpam-5725	95	29	−	−	NOUN
ejpam-5725	95	30	to)æ	to)æ	NOUN
ejpam-5725	95	31	+	+	CCONJ
ejpam-5725	95	32	tos̊	tos̊	PROPN
ejpam-5725	95	33	and	and	CCONJ
ejpam-5725	95	34	η	η	PROPN
ejpam-5725	95	35	=	=	SYM
ejpam-5725	95	36	1	1	NUM
ejpam-5725	95	37	2	2	NUM
ejpam-5725	95	38	in	in	ADP
ejpam-5725	95	39	equation	equation	NOUN
ejpam-5725	95	40	(	(	PUNCT
ejpam-5725	95	41	2	2	NUM
ejpam-5725	95	42	)	)	PUNCT
ejpam-5725	95	43	,	,	PUNCT
ejpam-5725	95	44	we	we	PRON
ejpam-5725	95	45	have	have	VERB
ejpam-5725	95	46	§	§	PROPN
ejpam-5725	95	47	(	(	PUNCT
ejpam-5725	95	48	æ+	æ+	PUNCT
ejpam-5725	95	49	s̊	s̊	PROPN
ejpam-5725	95	50	2	2	NUM
ejpam-5725	95	51	)	)	PUNCT
ejpam-5725	95	52	≤	≤	NOUN
ejpam-5725	95	53	1	1	NUM
ejpam-5725	95	54	h(1/2	h(1/2	NOUN
ejpam-5725	95	55	)	)	PUNCT
ejpam-5725	96	1	[	[	X
ejpam-5725	96	2	§	§	X
ejpam-5725	96	3	(	(	PUNCT
ejpam-5725	96	4	toæ+	toæ+	NOUN
ejpam-5725	96	5	(	(	PUNCT
ejpam-5725	96	6	1−	1−	NUM
ejpam-5725	96	7	to)̊s	to)̊s	NOUN
ejpam-5725	96	8	)	)	PUNCT
ejpam-5725	96	9	+	+	CCONJ
ejpam-5725	96	10	§	§	PROPN
ejpam-5725	96	11	(	(	PUNCT
ejpam-5725	96	12	(	(	PUNCT
ejpam-5725	96	13	1−	1−	NUM
ejpam-5725	96	14	to)æ	to)æ	NOUN
ejpam-5725	96	15	+	+	CCONJ
ejpam-5725	96	16	tos̊	tos̊	NOUN
ejpam-5725	96	17	)	)	PUNCT
ejpam-5725	96	18	]	]	PUNCT
ejpam-5725	96	19	(	(	PUNCT
ejpam-5725	96	20	3	3	X
ejpam-5725	96	21	)	)	PUNCT
ejpam-5725	96	22	r.	r.	PROPN
ejpam-5725	96	23	s.	s.	PROPN
ejpam-5725	96	24	ali	ali	PROPN
ejpam-5725	96	25	et	et	PROPN
ejpam-5725	96	26	al	al	PROPN
ejpam-5725	96	27	.	.	PUNCT
ejpam-5725	96	28	/	/	SYM
ejpam-5725	96	29	eur	eur	PROPN
ejpam-5725	96	30	.	.	PUNCT
ejpam-5725	97	1	j.	j.	PROPN
ejpam-5725	97	2	pure	pure	PROPN
ejpam-5725	97	3	appl	appl	PROPN
ejpam-5725	97	4	.	.	PROPN
ejpam-5725	97	5	math	math	PROPN
ejpam-5725	97	6	,	,	PUNCT
ejpam-5725	97	7	18	18	NUM
ejpam-5725	97	8	(	(	PUNCT
ejpam-5725	97	9	1	1	NUM
ejpam-5725	97	10	)	)	PUNCT
ejpam-5725	97	11	(	(	PUNCT
ejpam-5725	97	12	2025	2025	NUM
ejpam-5725	97	13	)	)	PUNCT
ejpam-5725	97	14	,	,	PUNCT
ejpam-5725	97	15	5725	5725	NUM
ejpam-5725	97	16	5	5	NUM
ejpam-5725	97	17	of	of	ADP
ejpam-5725	97	18	14	14	NUM
ejpam-5725	97	19	multiplying	multiply	VERB
ejpam-5725	97	20	each	each	DET
ejpam-5725	97	21	side	side	NOUN
ejpam-5725	97	22	by	by	ADP
ejpam-5725	97	23	(	(	PUNCT
ejpam-5725	97	24	1−to	1−to	NUM
ejpam-5725	97	25	)	)	PUNCT
ejpam-5725	97	26	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	97	27	,	,	PUNCT
ejpam-5725	97	28	γ	γ	X
ejpam-5725	97	29	(	(	PUNCT
ejpam-5725	97	30	ω(1−	ω(1−	NOUN
ejpam-5725	97	31	to	to	ADP
ejpam-5725	97	32	)	)	PUNCT
ejpam-5725	98	1	α	α	X
ejpam-5725	98	2	;	;	PUNCT
ejpam-5725	98	3	p	p	X
ejpam-5725	98	4	)	)	PUNCT
ejpam-5725	99	1	and	and	CCONJ
ejpam-5725	99	2	integrate	integrate	VERB
ejpam-5725	99	3	the	the	DET
ejpam-5725	99	4	resultant	resultant	NOUN
ejpam-5725	99	5	inequality	inequality	NOUN
ejpam-5725	99	6	on	on	ADP
ejpam-5725	99	7	[	[	X
ejpam-5725	99	8	0	0	NUM
ejpam-5725	99	9	,	,	PUNCT
ejpam-5725	99	10	1	1	NUM
ejpam-5725	99	11	]	]	PUNCT
ejpam-5725	99	12	in	in	ADP
ejpam-5725	99	13	terms	term	NOUN
ejpam-5725	99	14	of	of	ADP
ejpam-5725	99	15	to	to	PART
ejpam-5725	99	16	in	in	ADP
ejpam-5725	99	17	the	the	DET
ejpam-5725	99	18	equation	equation	NOUN
ejpam-5725	99	19	(	(	PUNCT
ejpam-5725	99	20	3	3	NUM
ejpam-5725	99	21	)	)	PUNCT
ejpam-5725	99	22	,	,	PUNCT
ejpam-5725	99	23	we	we	PRON
ejpam-5725	99	24	have	have	AUX
ejpam-5725	99	25	§	§	PROPN
ejpam-5725	99	26	(	(	PUNCT
ejpam-5725	99	27	æ+	æ+	PUNCT
ejpam-5725	99	28	s̊	s̊	PROPN
ejpam-5725	99	29	2	2	NUM
ejpam-5725	99	30	)	)	PUNCT
ejpam-5725	99	31	∫	∫	PROPN
ejpam-5725	99	32	1	1	NUM
ejpam-5725	99	33	0	0	NUM
ejpam-5725	99	34	(	(	PUNCT
ejpam-5725	99	35	1−	1−	NUM
ejpam-5725	99	36	to	to	PART
ejpam-5725	99	37	)	)	PUNCT
ejpam-5725	99	38	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	99	39	,	,	PUNCT
ejpam-5725	99	40	γ	γ	X
ejpam-5725	99	41	(	(	PUNCT
ejpam-5725	99	42	ω(1−	ω(1−	NOUN
ejpam-5725	99	43	to	to	ADP
ejpam-5725	99	44	)	)	PUNCT
ejpam-5725	100	1	α	α	X
ejpam-5725	100	2	;	;	PUNCT
ejpam-5725	100	3	p	p	X
ejpam-5725	100	4	)	)	PUNCT
ejpam-5725	100	5	dto	dto	NOUN
ejpam-5725	100	6	≤	≤	NUM
ejpam-5725	100	7	1	1	NUM
ejpam-5725	100	8	h(12	h(12	NOUN
ejpam-5725	100	9	)	)	PUNCT
ejpam-5725	100	10	×	×	NOUN
ejpam-5725	100	11	[	[	PUNCT
ejpam-5725	100	12	∫	∫	PROPN
ejpam-5725	100	13	1	1	NUM
ejpam-5725	100	14	0	0	NUM
ejpam-5725	100	15	(	(	PUNCT
ejpam-5725	100	16	1−	1−	NUM
ejpam-5725	100	17	to	to	PART
ejpam-5725	100	18	)	)	PUNCT
ejpam-5725	100	19	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	100	20	,	,	PUNCT
ejpam-5725	100	21	γ	γ	X
ejpam-5725	100	22	(	(	PUNCT
ejpam-5725	100	23	ω(1−	ω(1−	NOUN
ejpam-5725	100	24	to	to	ADP
ejpam-5725	100	25	)	)	PUNCT
ejpam-5725	101	1	α	α	X
ejpam-5725	101	2	;	;	PUNCT
ejpam-5725	101	3	p	p	X
ejpam-5725	101	4	)	)	PUNCT
ejpam-5725	101	5	§	§	PROPN
ejpam-5725	101	6	(	(	PUNCT
ejpam-5725	101	7	toæ+	toæ+	NOUN
ejpam-5725	101	8	(	(	PUNCT
ejpam-5725	101	9	1−	1−	NUM
ejpam-5725	101	10	to)̊s)dto	to)̊s)dto	PROPN
ejpam-5725	101	11	+	+	NUM
ejpam-5725	101	12	∫	∫	PROPN
ejpam-5725	101	13	1	1	NUM
ejpam-5725	101	14	0	0	NUM
ejpam-5725	101	15	(	(	PUNCT
ejpam-5725	101	16	1−	1−	NUM
ejpam-5725	101	17	to	to	PART
ejpam-5725	101	18	)	)	PUNCT
ejpam-5725	101	19	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	101	20	,	,	PUNCT
ejpam-5725	101	21	γ	γ	X
ejpam-5725	101	22	(	(	PUNCT
ejpam-5725	101	23	ω(1−	ω(1−	NOUN
ejpam-5725	101	24	to	to	ADP
ejpam-5725	101	25	)	)	PUNCT
ejpam-5725	102	1	α	α	X
ejpam-5725	102	2	;	;	PUNCT
ejpam-5725	102	3	p	p	X
ejpam-5725	102	4	)	)	PUNCT
ejpam-5725	102	5	§	§	PROPN
ejpam-5725	102	6	(	(	PUNCT
ejpam-5725	102	7	(	(	PUNCT
ejpam-5725	102	8	1−	1−	NUM
ejpam-5725	102	9	to)æ	to)æ	NOUN
ejpam-5725	102	10	+	+	X
ejpam-5725	102	11	tos̊)dto	tos̊)dto	NOUN
ejpam-5725	102	12	]	]	PUNCT
ejpam-5725	102	13	§	§	PROPN
ejpam-5725	102	14	(	(	PUNCT
ejpam-5725	102	15	æ+	æ+	PUNCT
ejpam-5725	102	16	s̊	s̊	PROPN
ejpam-5725	102	17	2	2	NUM
ejpam-5725	102	18	)	)	PUNCT
ejpam-5725	103	1	+	+	ADP
ejpam-5725	103	2	∞∑	∞∑	NOUN
ejpam-5725	103	3	n=0	n=0	NUM
ejpam-5725	103	4	(	(	PUNCT
ejpam-5725	103	5	γ)n	γ)n	X
ejpam-5725	103	6	γ(βn+	γ(βn+	ADJ
ejpam-5725	103	7	α	α	X
ejpam-5725	103	8	)	)	PUNCT
ejpam-5725	103	9	wn	wn	PROPN
ejpam-5725	103	10	n	n	PROPN
ejpam-5725	103	11	!	!	PUNCT
ejpam-5725	103	12	∫	∫	PROPN
ejpam-5725	104	1	1	1	NUM
ejpam-5725	104	2	0	0	NUM
ejpam-5725	104	3	(	(	PUNCT
ejpam-5725	104	4	1−	1−	NUM
ejpam-5725	104	5	to	to	PART
ejpam-5725	104	6	)	)	PUNCT
ejpam-5725	104	7	αn+β−1dto	αn+β−1dto	PROPN
ejpam-5725	104	8	≤	≤	NUM
ejpam-5725	104	9	1	1	NUM
ejpam-5725	104	10	h(1/2	h(1/2	NOUN
ejpam-5725	104	11	)	)	PUNCT
ejpam-5725	105	1	+	+	ADP
ejpam-5725	105	2	∞∑	∞∑	NOUN
ejpam-5725	105	3	n=0	n=0	NUM
ejpam-5725	105	4	(	(	PUNCT
ejpam-5725	105	5	γ)n	γ)n	X
ejpam-5725	105	6	γ(βn+	γ(βn+	ADJ
ejpam-5725	105	7	α	α	X
ejpam-5725	105	8	)	)	PUNCT
ejpam-5725	105	9	wn	wn	PROPN
ejpam-5725	105	10	n	n	PROPN
ejpam-5725	105	11	!	!	PROPN
ejpam-5725	106	1	×	×	PROPN
ejpam-5725	107	1	[	[	X
ejpam-5725	107	2	∫	∫	PROPN
ejpam-5725	107	3	1	1	NUM
ejpam-5725	107	4	0	0	NUM
ejpam-5725	107	5	(	(	PUNCT
ejpam-5725	107	6	1−	1−	NUM
ejpam-5725	107	7	to	to	PART
ejpam-5725	107	8	)	)	PUNCT
ejpam-5725	107	9	αn+β−1§(toæ+	αn+β−1§(toæ+	NOUN
ejpam-5725	107	10	(	(	PUNCT
ejpam-5725	107	11	1−	1−	NUM
ejpam-5725	107	12	to)̊s)dto	to)̊s)dto	PROPN
ejpam-5725	107	13	+	+	NUM
ejpam-5725	107	14	∫	∫	PROPN
ejpam-5725	107	15	1	1	NUM
ejpam-5725	107	16	0	0	NUM
ejpam-5725	107	17	(	(	PUNCT
ejpam-5725	107	18	1−	1−	NUM
ejpam-5725	107	19	to	to	PART
ejpam-5725	107	20	)	)	PUNCT
ejpam-5725	107	21	αn+β−1§((1−	αn+β−1§((1−	ADJ
ejpam-5725	107	22	to)æ	to)æ	NOUN
ejpam-5725	107	23	+	+	X
ejpam-5725	107	24	tos̊)dto	tos̊)dto	NOUN
ejpam-5725	107	25	]	]	PUNCT
ejpam-5725	107	26	(	(	PUNCT
ejpam-5725	107	27	4	4	NUM
ejpam-5725	107	28	)	)	PUNCT
ejpam-5725	107	29	by	by	ADP
ejpam-5725	107	30	evaluating	evaluate	VERB
ejpam-5725	107	31	the	the	DET
ejpam-5725	107	32	integrals	integral	NOUN
ejpam-5725	107	33	in	in	ADP
ejpam-5725	107	34	inequality	inequality	NOUN
ejpam-5725	107	35	(	(	PUNCT
ejpam-5725	107	36	4	4	NUM
ejpam-5725	107	37	)	)	PUNCT
ejpam-5725	107	38	,	,	PUNCT
ejpam-5725	107	39	we	we	PRON
ejpam-5725	107	40	obtain	obtain	VERB
ejpam-5725	107	41	h(1/2	h(1/2	NOUN
ejpam-5725	107	42	)	)	PUNCT
ejpam-5725	107	43	2	2	NUM
ejpam-5725	107	44	§	§	PROPN
ejpam-5725	107	45	(	(	PUNCT
ejpam-5725	107	46	æ+	æ+	PUNCT
ejpam-5725	107	47	s̊	s̊	PROPN
ejpam-5725	107	48	2	2	NUM
ejpam-5725	107	49	)	)	PUNCT
ejpam-5725	107	50	(	(	PUNCT
ejpam-5725	107	51	js̊	js̊	PROPN
ejpam-5725	107	52	−	−	PROPN
ejpam-5725	107	53	æ	æ	PROPN
ejpam-5725	107	54	,	,	PUNCT
ejpam-5725	107	55	β	β	X
ejpam-5725	107	56	(	(	PUNCT
ejpam-5725	107	57	ω′	ω′	PROPN
ejpam-5725	107	58	,	,	PUNCT
ejpam-5725	107	59	1	1	NUM
ejpam-5725	107	60	)	)	PUNCT
ejpam-5725	107	61	)	)	PUNCT
ejpam-5725	107	62	≤	≤	NUM
ejpam-5725	107	63	1	1	NUM
ejpam-5725	107	64	2	2	NUM
ejpam-5725	107	65	[	[	X
ejpam-5725	107	66	(	(	PUNCT
ejpam-5725	107	67	jæ	jæ	X
ejpam-5725	107	68	+	+	X
ejpam-5725	107	69	s̊,β	s̊,β	PROPN
ejpam-5725	107	70	)	)	PUNCT
ejpam-5725	107	71	(	(	PUNCT
ejpam-5725	107	72	ω′	ω′	NUM
ejpam-5725	107	73	;	;	PUNCT
ejpam-5725	107	74	§	§	PROPN
ejpam-5725	107	75	)	)	PUNCT
ejpam-5725	108	1	+	+	CCONJ
ejpam-5725	108	2	(	(	PUNCT
ejpam-5725	108	3	js̊	js̊	PROPN
ejpam-5725	108	4	−	−	PROPN
ejpam-5725	108	5	æ	æ	PROPN
ejpam-5725	108	6	,	,	PUNCT
ejpam-5725	108	7	β	β	X
ejpam-5725	108	8	)	)	PUNCT
ejpam-5725	108	9	(	(	PUNCT
ejpam-5725	108	10	ω′	ω′	NUM
ejpam-5725	108	11	;	;	PUNCT
ejpam-5725	108	12	§	§	PROPN
ejpam-5725	108	13	)	)	PUNCT
ejpam-5725	108	14	]	]	PUNCT
ejpam-5725	108	15	(	(	PUNCT
ejpam-5725	108	16	5	5	NUM
ejpam-5725	108	17	)	)	PUNCT
ejpam-5725	108	18	for	for	ADP
ejpam-5725	108	19	the	the	DET
ejpam-5725	108	20	second	second	ADJ
ejpam-5725	108	21	half	half	NOUN
ejpam-5725	108	22	of	of	ADP
ejpam-5725	108	23	the	the	DET
ejpam-5725	108	24	inequality	inequality	NOUN
ejpam-5725	108	25	,	,	PUNCT
ejpam-5725	108	26	we	we	PRON
ejpam-5725	108	27	similarly	similarly	ADV
ejpam-5725	108	28	employ	employ	VERB
ejpam-5725	108	29	the	the	DET
ejpam-5725	108	30	h	h	NOUN
ejpam-5725	108	31	-	-	PUNCT
ejpam-5725	108	32	godunova	godunova	ADJ
ejpam-5725	108	33	-	-	PUNCT
ejpam-5725	108	34	levin	levin	PROPN
ejpam-5725	108	35	convexity	convexity	NOUN
ejpam-5725	108	36	of	of	ADP
ejpam-5725	108	37	§	§	PROPN
ejpam-5725	108	38	,	,	PUNCT
ejpam-5725	108	39	we	we	PRON
ejpam-5725	108	40	have	have	VERB
ejpam-5725	108	41	§	§	PROPN
ejpam-5725	108	42	(	(	PUNCT
ejpam-5725	108	43	toæ+	toæ+	NOUN
ejpam-5725	108	44	(	(	PUNCT
ejpam-5725	108	45	1−	1−	NUM
ejpam-5725	108	46	to)̊s	to)̊s	NOUN
ejpam-5725	108	47	)	)	PUNCT
ejpam-5725	108	48	≤	≤	NOUN
ejpam-5725	108	49	§	§	PROPN
ejpam-5725	108	50	(	(	PUNCT
ejpam-5725	108	51	æ	æ	NOUN
ejpam-5725	108	52	)	)	PUNCT
ejpam-5725	108	53	h(to	h(to	NOUN
ejpam-5725	108	54	)	)	PUNCT
ejpam-5725	109	1	+	+	CCONJ
ejpam-5725	109	2	§	§	PROPN
ejpam-5725	109	3	(	(	PUNCT
ejpam-5725	109	4	̊s	̊s	ADJ
ejpam-5725	109	5	)	)	PUNCT
ejpam-5725	109	6	h(1−	h(1−	NOUN
ejpam-5725	109	7	to	to	PART
ejpam-5725	109	8	)	)	PUNCT
ejpam-5725	109	9	§	§	PROPN
ejpam-5725	109	10	(	(	PUNCT
ejpam-5725	109	11	(	(	PUNCT
ejpam-5725	109	12	1−	1−	NUM
ejpam-5725	109	13	to)æ	to)æ	NOUN
ejpam-5725	109	14	+	+	CCONJ
ejpam-5725	109	15	tos̊	tos̊	NOUN
ejpam-5725	109	16	)	)	PUNCT
ejpam-5725	109	17	≤	≤	NOUN
ejpam-5725	109	18	§	§	PROPN
ejpam-5725	109	19	(	(	PUNCT
ejpam-5725	109	20	æ	æ	NOUN
ejpam-5725	109	21	)	)	PUNCT
ejpam-5725	109	22	h(1−	h(1−	NOUN
ejpam-5725	109	23	to	to	PART
ejpam-5725	109	24	)	)	PUNCT
ejpam-5725	110	1	+	+	CCONJ
ejpam-5725	110	2	§	§	PROPN
ejpam-5725	110	3	(	(	PUNCT
ejpam-5725	110	4	̊s	̊s	NOUN
ejpam-5725	110	5	)	)	PUNCT
ejpam-5725	110	6	h(to	h(to	NOUN
ejpam-5725	110	7	)	)	PUNCT
ejpam-5725	110	8	after	after	ADP
ejpam-5725	110	9	adding	add	VERB
ejpam-5725	110	10	the	the	DET
ejpam-5725	110	11	above	above	ADJ
ejpam-5725	110	12	inequalities	inequality	NOUN
ejpam-5725	110	13	,	,	PUNCT
ejpam-5725	110	14	we	we	PRON
ejpam-5725	110	15	have	have	VERB
ejpam-5725	110	16	§	§	PROPN
ejpam-5725	110	17	(	(	PUNCT
ejpam-5725	110	18	toæ+	toæ+	NOUN
ejpam-5725	110	19	(	(	PUNCT
ejpam-5725	110	20	1−	1−	NUM
ejpam-5725	110	21	to)̊s	to)̊s	NOUN
ejpam-5725	110	22	)	)	PUNCT
ejpam-5725	111	1	+	+	CCONJ
ejpam-5725	111	2	§	§	PROPN
ejpam-5725	111	3	(	(	PUNCT
ejpam-5725	111	4	(	(	PUNCT
ejpam-5725	111	5	1−	1−	NUM
ejpam-5725	111	6	to)æ	to)æ	NOUN
ejpam-5725	111	7	+	+	CCONJ
ejpam-5725	111	8	tos̊	tos̊	NOUN
ejpam-5725	111	9	)	)	PUNCT
ejpam-5725	111	10	≤	≤	NOUN
ejpam-5725	111	11	(	(	PUNCT
ejpam-5725	111	12	§	§	PROPN
ejpam-5725	111	13	(	(	PUNCT
ejpam-5725	111	14	æ	æ	NOUN
ejpam-5725	111	15	)	)	PUNCT
ejpam-5725	111	16	+	+	CCONJ
ejpam-5725	111	17	§	§	PROPN
ejpam-5725	111	18	(	(	PUNCT
ejpam-5725	111	19	̊s	̊s	NOUN
ejpam-5725	111	20	)	)	PUNCT
ejpam-5725	111	21	)	)	PUNCT
ejpam-5725	112	1	[	[	PUNCT
ejpam-5725	112	2	1	1	NUM
ejpam-5725	112	3	h(to	h(to	NOUN
ejpam-5725	112	4	)	)	PUNCT
ejpam-5725	113	1	+	+	CCONJ
ejpam-5725	113	2	1	1	NUM
ejpam-5725	113	3	h(1−	h(1−	NOUN
ejpam-5725	113	4	to	to	ADP
ejpam-5725	113	5	)	)	PUNCT
ejpam-5725	113	6	]	]	PUNCT
ejpam-5725	113	7	(	(	PUNCT
ejpam-5725	113	8	6	6	X
ejpam-5725	113	9	)	)	PUNCT
ejpam-5725	113	10	multiplying	multiply	VERB
ejpam-5725	113	11	both	both	DET
ejpam-5725	113	12	sides	side	NOUN
ejpam-5725	113	13	by	by	ADP
ejpam-5725	113	14	(	(	PUNCT
ejpam-5725	113	15	1	1	NUM
ejpam-5725	113	16	−	−	NOUN
ejpam-5725	113	17	to	to	PART
ejpam-5725	113	18	)	)	PUNCT
ejpam-5725	113	19	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	113	20	,	,	PUNCT
ejpam-5725	113	21	γ	γ	X
ejpam-5725	113	22	(	(	PUNCT
ejpam-5725	113	23	ω(1−	ω(1−	NOUN
ejpam-5725	113	24	to	to	ADP
ejpam-5725	113	25	)	)	PUNCT
ejpam-5725	114	1	α	α	X
ejpam-5725	114	2	;	;	PUNCT
ejpam-5725	114	3	p	p	X
ejpam-5725	114	4	)	)	PUNCT
ejpam-5725	114	5	and	and	CCONJ
ejpam-5725	114	6	integrating	integrate	VERB
ejpam-5725	114	7	the	the	DET
ejpam-5725	114	8	resultant	resultant	NOUN
ejpam-5725	114	9	inequality	inequality	NOUN
ejpam-5725	114	10	on	on	ADP
ejpam-5725	114	11	[	[	X
ejpam-5725	114	12	0	0	NUM
ejpam-5725	114	13	,	,	PUNCT
ejpam-5725	114	14	1	1	NUM
ejpam-5725	114	15	]	]	PUNCT
ejpam-5725	114	16	with	with	ADP
ejpam-5725	114	17	respect	respect	NOUN
ejpam-5725	114	18	to	to	ADP
ejpam-5725	114	19	to	to	ADP
ejpam-5725	114	20	in	in	ADP
ejpam-5725	114	21	equation	equation	NOUN
ejpam-5725	114	22	(	(	PUNCT
ejpam-5725	114	23	6	6	NUM
ejpam-5725	114	24	)	)	PUNCT
ejpam-5725	114	25	,	,	PUNCT
ejpam-5725	114	26	we	we	PRON
ejpam-5725	114	27	obtain[∫	obtain[∫	VERB
ejpam-5725	114	28	1	1	NUM
ejpam-5725	114	29	0	0	NUM
ejpam-5725	114	30	(	(	PUNCT
ejpam-5725	114	31	1−	1−	NUM
ejpam-5725	114	32	to	to	PART
ejpam-5725	114	33	)	)	PUNCT
ejpam-5725	114	34	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	114	35	,	,	PUNCT
ejpam-5725	114	36	γ	γ	X
ejpam-5725	114	37	(	(	PUNCT
ejpam-5725	114	38	ω(1−	ω(1−	NOUN
ejpam-5725	114	39	to	to	ADP
ejpam-5725	114	40	)	)	PUNCT
ejpam-5725	115	1	α	α	X
ejpam-5725	115	2	;	;	PUNCT
ejpam-5725	115	3	p	p	X
ejpam-5725	115	4	)	)	PUNCT
ejpam-5725	115	5	§	§	PROPN
ejpam-5725	115	6	(	(	PUNCT
ejpam-5725	115	7	toæ+	toæ+	NOUN
ejpam-5725	115	8	(	(	PUNCT
ejpam-5725	115	9	1−	1−	NUM
ejpam-5725	115	10	to)̊s)dto	to)̊s)dto	PROPN
ejpam-5725	115	11	]	]	PUNCT
ejpam-5725	116	1	+	+	CCONJ
ejpam-5725	117	1	[	[	X
ejpam-5725	117	2	∫	∫	X
ejpam-5725	117	3	1	1	NUM
ejpam-5725	117	4	0	0	NUM
ejpam-5725	117	5	(	(	PUNCT
ejpam-5725	117	6	1−	1−	NUM
ejpam-5725	117	7	to	to	PART
ejpam-5725	117	8	)	)	PUNCT
ejpam-5725	117	9	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	117	10	,	,	PUNCT
ejpam-5725	117	11	γ	γ	X
ejpam-5725	117	12	(	(	PUNCT
ejpam-5725	117	13	ω(1−	ω(1−	NOUN
ejpam-5725	117	14	to	to	ADP
ejpam-5725	117	15	)	)	PUNCT
ejpam-5725	118	1	α	α	X
ejpam-5725	118	2	;	;	PUNCT
ejpam-5725	118	3	p	p	X
ejpam-5725	118	4	)	)	PUNCT
ejpam-5725	118	5	§	§	PROPN
ejpam-5725	118	6	(	(	PUNCT
ejpam-5725	118	7	(	(	PUNCT
ejpam-5725	118	8	1−	1−	NUM
ejpam-5725	118	9	to)æ	to)æ	NOUN
ejpam-5725	118	10	+	+	X
ejpam-5725	118	11	tos̊)dto	tos̊)dto	NUM
ejpam-5725	118	12	]	]	PUNCT
ejpam-5725	118	13	≤	≤	X
ejpam-5725	118	14	(	(	PUNCT
ejpam-5725	118	15	§	§	PROPN
ejpam-5725	118	16	(	(	PUNCT
ejpam-5725	118	17	æ	æ	NOUN
ejpam-5725	118	18	)	)	PUNCT
ejpam-5725	118	19	+	+	CCONJ
ejpam-5725	118	20	§	§	PROPN
ejpam-5725	118	21	(	(	PUNCT
ejpam-5725	118	22	̊s	̊s	NOUN
ejpam-5725	118	23	)	)	PUNCT
ejpam-5725	118	24	)	)	PUNCT
ejpam-5725	119	1	∫	∫	PROPN
ejpam-5725	120	1	1	1	NUM
ejpam-5725	120	2	0	0	NUM
ejpam-5725	120	3	[	[	PUNCT
ejpam-5725	120	4	1	1	NUM
ejpam-5725	120	5	h(to	h(to	NOUN
ejpam-5725	120	6	)	)	PUNCT
ejpam-5725	121	1	+	+	CCONJ
ejpam-5725	121	2	1	1	NUM
ejpam-5725	121	3	h(1−	h(1−	NOUN
ejpam-5725	121	4	to	to	ADP
ejpam-5725	121	5	)	)	PUNCT
ejpam-5725	121	6	]	]	PUNCT
ejpam-5725	121	7	(	(	PUNCT
ejpam-5725	121	8	1−	1−	NUM
ejpam-5725	121	9	to	to	PART
ejpam-5725	121	10	)	)	PUNCT
ejpam-5725	121	11	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	121	12	,	,	PUNCT
ejpam-5725	121	13	γ	γ	X
ejpam-5725	121	14	(	(	PUNCT
ejpam-5725	121	15	ω(1−	ω(1−	NOUN
ejpam-5725	121	16	to	to	ADP
ejpam-5725	121	17	)	)	PUNCT
ejpam-5725	122	1	α	α	X
ejpam-5725	122	2	;	;	PUNCT
ejpam-5725	122	3	p	p	X
ejpam-5725	122	4	)	)	PUNCT
ejpam-5725	122	5	dto	dto	NOUN
ejpam-5725	122	6	(	(	PUNCT
ejpam-5725	122	7	7	7	NUM
ejpam-5725	122	8	)	)	PUNCT
ejpam-5725	122	9	r.	r.	PROPN
ejpam-5725	122	10	s.	s.	PROPN
ejpam-5725	122	11	ali	ali	PROPN
ejpam-5725	122	12	et	et	PROPN
ejpam-5725	122	13	al	al	PROPN
ejpam-5725	122	14	.	.	PUNCT
ejpam-5725	122	15	/	/	SYM
ejpam-5725	122	16	eur	eur	PROPN
ejpam-5725	122	17	.	.	PUNCT
ejpam-5725	123	1	j.	j.	PROPN
ejpam-5725	123	2	pure	pure	PROPN
ejpam-5725	123	3	appl	appl	PROPN
ejpam-5725	123	4	.	.	PROPN
ejpam-5725	123	5	math	math	PROPN
ejpam-5725	123	6	,	,	PUNCT
ejpam-5725	123	7	18	18	NUM
ejpam-5725	123	8	(	(	PUNCT
ejpam-5725	123	9	1	1	NUM
ejpam-5725	123	10	)	)	PUNCT
ejpam-5725	123	11	(	(	PUNCT
ejpam-5725	123	12	2025	2025	NUM
ejpam-5725	123	13	)	)	PUNCT
ejpam-5725	123	14	,	,	PUNCT
ejpam-5725	123	15	5725	5725	NUM
ejpam-5725	123	16	6	6	NUM
ejpam-5725	123	17	of	of	ADP
ejpam-5725	123	18	14	14	NUM
ejpam-5725	123	19	after	after	ADP
ejpam-5725	123	20	solving	solve	VERB
ejpam-5725	123	21	the	the	DET
ejpam-5725	123	22	equation	equation	NOUN
ejpam-5725	123	23	(	(	PUNCT
ejpam-5725	123	24	7	7	NUM
ejpam-5725	123	25	)	)	PUNCT
ejpam-5725	124	1	,	,	PUNCT
ejpam-5725	124	2	we	we	PRON
ejpam-5725	124	3	have	have	VERB
ejpam-5725	124	4	1	1	NUM
ejpam-5725	124	5	2	2	NUM
ejpam-5725	124	6	[	[	X
ejpam-5725	124	7	(	(	PUNCT
ejpam-5725	124	8	jæ	jæ	X
ejpam-5725	124	9	+	+	X
ejpam-5725	124	10	s̊,β	s̊,β	PROPN
ejpam-5725	124	11	)	)	PUNCT
ejpam-5725	124	12	(	(	PUNCT
ejpam-5725	124	13	ω′	ω′	X
ejpam-5725	124	14	,	,	PUNCT
ejpam-5725	124	15	§	§	PROPN
ejpam-5725	124	16	)	)	PUNCT
ejpam-5725	124	17	+	+	CCONJ
ejpam-5725	124	18	(	(	PUNCT
ejpam-5725	124	19	js̊	js̊	PROPN
ejpam-5725	124	20	−	−	PROPN
ejpam-5725	124	21	æ	æ	PROPN
ejpam-5725	124	22	,	,	PUNCT
ejpam-5725	124	23	β	β	X
ejpam-5725	124	24	)	)	PUNCT
ejpam-5725	124	25	(	(	PUNCT
ejpam-5725	124	26	ω′	ω′	NUM
ejpam-5725	124	27	;	;	PUNCT
ejpam-5725	124	28	§	§	PROPN
ejpam-5725	124	29	)	)	PUNCT
ejpam-5725	124	30	]	]	PUNCT
ejpam-5725	124	31	≤	≤	NUM
ejpam-5725	124	32	§	§	PROPN
ejpam-5725	124	33	(	(	PUNCT
ejpam-5725	124	34	æ	æ	NOUN
ejpam-5725	124	35	)	)	PUNCT
ejpam-5725	124	36	+	+	CCONJ
ejpam-5725	124	37	§	§	PROPN
ejpam-5725	124	38	(	(	PUNCT
ejpam-5725	124	39	̊s	̊s	NOUN
ejpam-5725	124	40	)	)	PUNCT
ejpam-5725	124	41	2	2	NUM
ejpam-5725	124	42	∫	∫	NOUN
ejpam-5725	124	43	1	1	NUM
ejpam-5725	124	44	0	0	NUM
ejpam-5725	124	45	[	[	PUNCT
ejpam-5725	124	46	1	1	NUM
ejpam-5725	124	47	h(to	h(to	NOUN
ejpam-5725	124	48	)	)	PUNCT
ejpam-5725	125	1	+	+	CCONJ
ejpam-5725	125	2	1	1	NUM
ejpam-5725	125	3	h(1−	h(1−	NOUN
ejpam-5725	125	4	to	to	ADP
ejpam-5725	125	5	)	)	PUNCT
ejpam-5725	125	6	]	]	PUNCT
ejpam-5725	125	7	(	(	PUNCT
ejpam-5725	125	8	1−to	1−to	NOUN
ejpam-5725	125	9	)	)	PUNCT
ejpam-5725	125	10	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	125	11	,	,	PUNCT
ejpam-5725	125	12	γ	γ	X
ejpam-5725	125	13	(	(	PUNCT
ejpam-5725	125	14	ω(1−	ω(1−	NOUN
ejpam-5725	125	15	to	to	ADP
ejpam-5725	125	16	)	)	PUNCT
ejpam-5725	126	1	α	α	X
ejpam-5725	126	2	;	;	PUNCT
ejpam-5725	126	3	p	p	X
ejpam-5725	126	4	)	)	PUNCT
ejpam-5725	126	5	dto	dto	PROPN
ejpam-5725	126	6	(	(	PUNCT
ejpam-5725	126	7	8)	8)	NUM
ejpam-5725	126	8	combining	combine	VERB
ejpam-5725	126	9	the	the	DET
ejpam-5725	126	10	equations	equation	NOUN
ejpam-5725	126	11	(	(	PUNCT
ejpam-5725	126	12	5	5	NUM
ejpam-5725	126	13	)	)	PUNCT
ejpam-5725	126	14	and	and	CCONJ
ejpam-5725	126	15	(	(	PUNCT
ejpam-5725	126	16	8)	8)	NUM
ejpam-5725	126	17	,	,	PUNCT
ejpam-5725	126	18	we	we	PRON
ejpam-5725	126	19	obtain	obtain	VERB
ejpam-5725	126	20	h(1/2	h(1/2	NOUN
ejpam-5725	126	21	)	)	PUNCT
ejpam-5725	126	22	2	2	NUM
ejpam-5725	126	23	§	§	PROPN
ejpam-5725	126	24	(	(	PUNCT
ejpam-5725	126	25	æ+	æ+	PUNCT
ejpam-5725	126	26	s̊	s̊	PROPN
ejpam-5725	126	27	2	2	NUM
ejpam-5725	126	28	)	)	PUNCT
ejpam-5725	126	29	(	(	PUNCT
ejpam-5725	126	30	js̊	js̊	PROPN
ejpam-5725	126	31	−	−	PROPN
ejpam-5725	126	32	æ	æ	PROPN
ejpam-5725	126	33	,	,	PUNCT
ejpam-5725	126	34	β	β	X
ejpam-5725	126	35	)	)	PUNCT
ejpam-5725	126	36	(	(	PUNCT
ejpam-5725	126	37	ω′	ω′	PROPN
ejpam-5725	126	38	,	,	PUNCT
ejpam-5725	126	39	1	1	NUM
ejpam-5725	126	40	)	)	PUNCT
ejpam-5725	126	41	≤	≤	NOUN
ejpam-5725	126	42	1	1	NUM
ejpam-5725	126	43	2	2	NUM
ejpam-5725	126	44	[	[	X
ejpam-5725	126	45	(	(	PUNCT
ejpam-5725	126	46	ℑs̊−	ℑs̊−	X
ejpam-5725	126	47	æ	æ	PROPN
ejpam-5725	126	48	,	,	PUNCT
ejpam-5725	126	49	β	β	X
ejpam-5725	126	50	)	)	PUNCT
ejpam-5725	126	51	(	(	PUNCT
ejpam-5725	126	52	ω′	ω′	X
ejpam-5725	126	53	,	,	PUNCT
ejpam-5725	126	54	§	§	PROPN
ejpam-5725	126	55	)	)	PUNCT
ejpam-5725	127	1	+	+	CCONJ
ejpam-5725	127	2	(	(	PUNCT
ejpam-5725	127	3	jæ	jæ	X
ejpam-5725	127	4	+	+	CCONJ
ejpam-5725	127	5	s̊,β	s̊,β	PROPN
ejpam-5725	127	6	)	)	PUNCT
ejpam-5725	127	7	(	(	PUNCT
ejpam-5725	127	8	ω′	ω′	X
ejpam-5725	127	9	,	,	PUNCT
ejpam-5725	127	10	§	§	PROPN
ejpam-5725	127	11	)	)	PUNCT
ejpam-5725	127	12	]	]	PUNCT
ejpam-5725	128	1	≤	≤	NUM
ejpam-5725	128	2	§	§	PROPN
ejpam-5725	128	3	(	(	PUNCT
ejpam-5725	128	4	æ	æ	NOUN
ejpam-5725	128	5	)	)	PUNCT
ejpam-5725	128	6	+	+	CCONJ
ejpam-5725	128	7	§	§	PROPN
ejpam-5725	128	8	(	(	PUNCT
ejpam-5725	128	9	̊s	̊s	NOUN
ejpam-5725	128	10	)	)	PUNCT
ejpam-5725	128	11	2	2	NUM
ejpam-5725	128	12	∫	∫	NOUN
ejpam-5725	128	13	1	1	NUM
ejpam-5725	128	14	0	0	NUM
ejpam-5725	128	15	[	[	PUNCT
ejpam-5725	128	16	1	1	NUM
ejpam-5725	128	17	h(to	h(to	NOUN
ejpam-5725	128	18	)	)	PUNCT
ejpam-5725	128	19	+	+	CCONJ
ejpam-5725	128	20	1	1	NUM
ejpam-5725	128	21	h(1−	h(1−	NOUN
ejpam-5725	128	22	to	to	ADP
ejpam-5725	128	23	)	)	PUNCT
ejpam-5725	128	24	]	]	PUNCT
ejpam-5725	128	25	(	(	PUNCT
ejpam-5725	128	26	1−	1−	NUM
ejpam-5725	128	27	to	to	PART
ejpam-5725	128	28	)	)	PUNCT
ejpam-5725	128	29	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	128	30	,	,	PUNCT
ejpam-5725	128	31	γ	γ	X
ejpam-5725	128	32	(	(	PUNCT
ejpam-5725	128	33	ω(1−	ω(1−	NOUN
ejpam-5725	128	34	to	to	ADP
ejpam-5725	128	35	)	)	PUNCT
ejpam-5725	129	1	α	α	X
ejpam-5725	129	2	;	;	PUNCT
ejpam-5725	129	3	p	p	X
ejpam-5725	129	4	)	)	PUNCT
ejpam-5725	129	5	dto	dto	PROPN
ejpam-5725	129	6	corollary	corollary	NOUN
ejpam-5725	129	7	1	1	NUM
ejpam-5725	129	8	.	.	PUNCT
ejpam-5725	129	9	taking	take	VERB
ejpam-5725	129	10	h(to	h(to	NOUN
ejpam-5725	129	11	)	)	PUNCT
ejpam-5725	130	1	=	=	SYM
ejpam-5725	130	2	tso	tso	PROPN
ejpam-5725	130	3	in	in	ADP
ejpam-5725	130	4	theorem	theorem	NOUN
ejpam-5725	130	5	(	(	PUNCT
ejpam-5725	130	6	1	1	NUM
ejpam-5725	130	7	)	)	PUNCT
ejpam-5725	130	8	,	,	PUNCT
ejpam-5725	130	9	we	we	PRON
ejpam-5725	130	10	derive	derive	VERB
ejpam-5725	130	11	an	an	DET
ejpam-5725	130	12	inequality	inequality	NOUN
ejpam-5725	130	13	of	of	ADP
ejpam-5725	130	14	the	the	DET
ejpam-5725	130	15	(	(	PUNCT
ejpam-5725	130	16	h	h	NOUN
ejpam-5725	130	17	-	-	PUNCT
ejpam-5725	130	18	h	h	NOUN
ejpam-5725	130	19	)	)	PUNCT
ejpam-5725	130	20	type	type	NOUN
ejpam-5725	130	21	for	for	ADP
ejpam-5725	130	22	s	s	NOUN
ejpam-5725	130	23	-	-	PUNCT
ejpam-5725	130	24	godunova	godunova	ADJ
ejpam-5725	130	25	-	-	PUNCT
ejpam-5725	130	26	levin	levin	PROPN
ejpam-5725	130	27	(	(	PUNCT
ejpam-5725	130	28	gl	gl	NOUN
ejpam-5725	130	29	)	)	PUNCT
ejpam-5725	130	30	type	type	NOUN
ejpam-5725	130	31	convex	convex	NOUN
ejpam-5725	130	32	functions	function	NOUN
ejpam-5725	130	33	:	:	PUNCT
ejpam-5725	130	34	(	(	PUNCT
ejpam-5725	130	35	1/2)s	1/2)s	NUM
ejpam-5725	130	36	2	2	NUM
ejpam-5725	130	37	§	§	PROPN
ejpam-5725	130	38	(	(	PUNCT
ejpam-5725	130	39	æ+	æ+	PUNCT
ejpam-5725	130	40	s̊	s̊	PROPN
ejpam-5725	130	41	2	2	NUM
ejpam-5725	130	42	)	)	PUNCT
ejpam-5725	130	43	(	(	PUNCT
ejpam-5725	130	44	js̊	js̊	PROPN
ejpam-5725	130	45	−	−	PROPN
ejpam-5725	130	46	æ	æ	PROPN
ejpam-5725	130	47	,	,	PUNCT
ejpam-5725	130	48	β	β	X
ejpam-5725	130	49	)	)	PUNCT
ejpam-5725	130	50	(	(	PUNCT
ejpam-5725	130	51	ω′	ω′	PROPN
ejpam-5725	130	52	,	,	PUNCT
ejpam-5725	130	53	1	1	NUM
ejpam-5725	130	54	)	)	PUNCT
ejpam-5725	130	55	≤	≤	NOUN
ejpam-5725	130	56	1	1	NUM
ejpam-5725	130	57	2	2	NUM
ejpam-5725	130	58	[	[	X
ejpam-5725	130	59	(	(	PUNCT
ejpam-5725	130	60	js̊	js̊	PROPN
ejpam-5725	130	61	−	−	PROPN
ejpam-5725	130	62	æ	æ	PROPN
ejpam-5725	130	63	,	,	PUNCT
ejpam-5725	130	64	β	β	X
ejpam-5725	130	65	)	)	PUNCT
ejpam-5725	130	66	(	(	PUNCT
ejpam-5725	130	67	ω′	ω′	X
ejpam-5725	130	68	,	,	PUNCT
ejpam-5725	130	69	§	§	PROPN
ejpam-5725	130	70	)	)	PUNCT
ejpam-5725	130	71	≤	≤	NUM
ejpam-5725	130	72	§	§	PROPN
ejpam-5725	130	73	(	(	PUNCT
ejpam-5725	130	74	æ	æ	NOUN
ejpam-5725	130	75	)	)	PUNCT
ejpam-5725	130	76	+	+	CCONJ
ejpam-5725	130	77	§	§	PROPN
ejpam-5725	130	78	(	(	PUNCT
ejpam-5725	130	79	̊s	̊s	NOUN
ejpam-5725	130	80	)	)	PUNCT
ejpam-5725	130	81	2	2	NUM
ejpam-5725	130	82	∫	∫	NOUN
ejpam-5725	130	83	1	1	NUM
ejpam-5725	130	84	0	0	NUM
ejpam-5725	130	85	[	[	PUNCT
ejpam-5725	130	86	1	1	NUM
ejpam-5725	130	87	tso	tso	X
ejpam-5725	130	88	+	+	PROPN
ejpam-5725	130	89	1	1	NUM
ejpam-5725	130	90	(	(	PUNCT
ejpam-5725	130	91	1−	1−	NUM
ejpam-5725	130	92	to)s	to)s	PROPN
ejpam-5725	130	93	]	]	PUNCT
ejpam-5725	130	94	(	(	PUNCT
ejpam-5725	130	95	1−	1−	NUM
ejpam-5725	130	96	to	to	PART
ejpam-5725	130	97	)	)	PUNCT
ejpam-5725	130	98	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	130	99	,	,	PUNCT
ejpam-5725	130	100	γ	γ	X
ejpam-5725	130	101	(	(	PUNCT
ejpam-5725	130	102	ω(1−	ω(1−	NOUN
ejpam-5725	130	103	to	to	ADP
ejpam-5725	130	104	)	)	PUNCT
ejpam-5725	131	1	α	α	X
ejpam-5725	131	2	;	;	PUNCT
ejpam-5725	131	3	p	p	X
ejpam-5725	131	4	)	)	PUNCT
ejpam-5725	131	5	dto	dto	PROPN
ejpam-5725	131	6	corollary	corollary	NOUN
ejpam-5725	131	7	2	2	NUM
ejpam-5725	131	8	.	.	PUNCT
ejpam-5725	131	9	by	by	ADP
ejpam-5725	131	10	selecting	select	VERB
ejpam-5725	131	11	h(to	h(to	NOUN
ejpam-5725	131	12	)	)	PUNCT
ejpam-5725	131	13	=	=	SYM
ejpam-5725	131	14	1	1	NUM
ejpam-5725	131	15	in	in	ADP
ejpam-5725	131	16	theorem	theorem	NOUN
ejpam-5725	131	17	(	(	PUNCT
ejpam-5725	131	18	1	1	NUM
ejpam-5725	131	19	)	)	PUNCT
ejpam-5725	132	1	,	,	PUNCT
ejpam-5725	132	2	we	we	PRON
ejpam-5725	132	3	derive	derive	VERB
ejpam-5725	132	4	an	an	DET
ejpam-5725	132	5	inequality	inequality	NOUN
ejpam-5725	132	6	of	of	ADP
ejpam-5725	132	7	the	the	DET
ejpam-5725	132	8	(	(	PUNCT
ejpam-5725	132	9	h	h	NOUN
ejpam-5725	132	10	-	-	PUNCT
ejpam-5725	132	11	h	h	NOUN
ejpam-5725	132	12	)	)	PUNCT
ejpam-5725	132	13	type	type	NOUN
ejpam-5725	132	14	for	for	ADP
ejpam-5725	132	15	the	the	DET
ejpam-5725	132	16	p	p	PROPN
ejpam-5725	132	17	function	function	NOUN
ejpam-5725	132	18	:	:	PUNCT
ejpam-5725	132	19	1	1	NUM
ejpam-5725	132	20	2§	2§	NUM
ejpam-5725	132	21	(	(	PUNCT
ejpam-5725	132	22	æ+s̊	æ+s̊	PROPN
ejpam-5725	132	23	2	2	NUM
ejpam-5725	132	24	)	)	PUNCT
ejpam-5725	132	25	(	(	PUNCT
ejpam-5725	132	26	js̊	js̊	PROPN
ejpam-5725	132	27	−	−	PROPN
ejpam-5725	133	1	æ	æ	PROPN
ejpam-5725	133	2	,	,	PUNCT
ejpam-5725	133	3	β	β	X
ejpam-5725	133	4	)	)	PUNCT
ejpam-5725	133	5	(	(	PUNCT
ejpam-5725	133	6	ω′	ω′	X
ejpam-5725	133	7	,	,	PUNCT
ejpam-5725	133	8	1	1	NUM
ejpam-5725	133	9	)	)	PUNCT
ejpam-5725	133	10	≤	≤	NUM
ejpam-5725	133	11	1	1	NUM
ejpam-5725	133	12	2	2	NUM
ejpam-5725	133	13	[	[	X
ejpam-5725	133	14	(	(	PUNCT
ejpam-5725	133	15	ℑs̊−	ℑs̊−	X
ejpam-5725	133	16	æ	æ	PROPN
ejpam-5725	133	17	,	,	PUNCT
ejpam-5725	133	18	β	β	X
ejpam-5725	133	19	)	)	PUNCT
ejpam-5725	133	20	(	(	PUNCT
ejpam-5725	133	21	ω′	ω′	X
ejpam-5725	133	22	,	,	PUNCT
ejpam-5725	133	23	§	§	PROPN
ejpam-5725	133	24	)	)	PUNCT
ejpam-5725	133	25	+	+	CCONJ
ejpam-5725	133	26	(	(	PUNCT
ejpam-5725	133	27	ℑæ+	ℑæ+	PROPN
ejpam-5725	133	28	s̊,β	s̊,β	PROPN
ejpam-5725	133	29	)	)	PUNCT
ejpam-5725	133	30	(	(	PUNCT
ejpam-5725	133	31	ω′	ω′	X
ejpam-5725	133	32	,	,	PUNCT
ejpam-5725	133	33	§	§	PROPN
ejpam-5725	133	34	)	)	PUNCT
ejpam-5725	133	35	]	]	PUNCT
ejpam-5725	134	1	≤	≤	NOUN
ejpam-5725	134	2	(	(	PUNCT
ejpam-5725	134	3	§	§	PROPN
ejpam-5725	134	4	(	(	PUNCT
ejpam-5725	134	5	æ	æ	NOUN
ejpam-5725	134	6	)	)	PUNCT
ejpam-5725	134	7	+	+	CCONJ
ejpam-5725	134	8	§	§	PROPN
ejpam-5725	134	9	(	(	PUNCT
ejpam-5725	134	10	̊s	̊s	NOUN
ejpam-5725	134	11	)	)	PUNCT
ejpam-5725	134	12	)	)	PUNCT
ejpam-5725	135	1	(	(	PUNCT
ejpam-5725	135	2	jæ	jæ	X
ejpam-5725	135	3	+	+	CCONJ
ejpam-5725	135	4	s̊,β	s̊,β	PROPN
ejpam-5725	135	5	)	)	PUNCT
ejpam-5725	135	6	(	(	PUNCT
ejpam-5725	135	7	ω′	ω′	X
ejpam-5725	135	8	,	,	PUNCT
ejpam-5725	135	9	1	1	X
ejpam-5725	135	10	)	)	PUNCT
ejpam-5725	135	11	corollary	corollary	ADJ
ejpam-5725	135	12	3	3	NUM
ejpam-5725	135	13	.	.	PUNCT
ejpam-5725	135	14	selecting	select	VERB
ejpam-5725	135	15	h(to	h(to	NOUN
ejpam-5725	135	16	)	)	PUNCT
ejpam-5725	135	17	=	=	SYM
ejpam-5725	135	18	1	1	NUM
ejpam-5725	135	19	/	/	SYM
ejpam-5725	135	20	to	to	PART
ejpam-5725	135	21	in	in	ADP
ejpam-5725	135	22	theorem	theorem	NOUN
ejpam-5725	135	23	(	(	PUNCT
ejpam-5725	135	24	1	1	NUM
ejpam-5725	135	25	)	)	PUNCT
ejpam-5725	135	26	,	,	PUNCT
ejpam-5725	135	27	an	an	DET
ejpam-5725	135	28	inequality	inequality	NOUN
ejpam-5725	135	29	of	of	ADP
ejpam-5725	135	30	the	the	DET
ejpam-5725	135	31	(	(	PUNCT
ejpam-5725	135	32	h	h	NOUN
ejpam-5725	135	33	-	-	PUNCT
ejpam-5725	135	34	h	h	NOUN
ejpam-5725	135	35	)	)	PUNCT
ejpam-5725	135	36	type	type	NOUN
ejpam-5725	135	37	is	be	AUX
ejpam-5725	135	38	derived	derive	VERB
ejpam-5725	135	39	for	for	ADP
ejpam-5725	135	40	functions	function	NOUN
ejpam-5725	135	41	that	that	PRON
ejpam-5725	135	42	are	be	AUX
ejpam-5725	135	43	convex	convex	ADJ
ejpam-5725	135	44	:	:	PUNCT
ejpam-5725	135	45	§	§	PROPN
ejpam-5725	135	46	(	(	PUNCT
ejpam-5725	135	47	æ+s̊	æ+s̊	PROPN
ejpam-5725	135	48	2	2	NUM
ejpam-5725	135	49	)	)	PUNCT
ejpam-5725	135	50	(	(	PUNCT
ejpam-5725	135	51	js̊	js̊	PROPN
ejpam-5725	135	52	−	−	PROPN
ejpam-5725	135	53	æ	æ	PROPN
ejpam-5725	135	54	,	,	PUNCT
ejpam-5725	135	55	β	β	X
ejpam-5725	135	56	)	)	PUNCT
ejpam-5725	135	57	(	(	PUNCT
ejpam-5725	135	58	ω′	ω′	X
ejpam-5725	135	59	,	,	PUNCT
ejpam-5725	135	60	1	1	NUM
ejpam-5725	135	61	)	)	PUNCT
ejpam-5725	135	62	≤	≤	NUM
ejpam-5725	135	63	1	1	NUM
ejpam-5725	135	64	2	2	NUM
ejpam-5725	135	65	[	[	X
ejpam-5725	135	66	(	(	PUNCT
ejpam-5725	135	67	ℑs̊−	ℑs̊−	X
ejpam-5725	135	68	æ	æ	PROPN
ejpam-5725	135	69	,	,	PUNCT
ejpam-5725	135	70	β	β	X
ejpam-5725	135	71	)	)	PUNCT
ejpam-5725	135	72	(	(	PUNCT
ejpam-5725	135	73	ω′	ω′	X
ejpam-5725	135	74	,	,	PUNCT
ejpam-5725	135	75	§	§	PROPN
ejpam-5725	135	76	)	)	PUNCT
ejpam-5725	135	77	+	+	CCONJ
ejpam-5725	135	78	(	(	PUNCT
ejpam-5725	135	79	ℑæ+	ℑæ+	PROPN
ejpam-5725	135	80	s̊,β	s̊,β	PROPN
ejpam-5725	135	81	)	)	PUNCT
ejpam-5725	135	82	(	(	PUNCT
ejpam-5725	135	83	ω′	ω′	X
ejpam-5725	135	84	,	,	PUNCT
ejpam-5725	135	85	§	§	PROPN
ejpam-5725	135	86	)	)	PUNCT
ejpam-5725	135	87	]	]	PUNCT
ejpam-5725	135	88	≤	≤	PROPN
ejpam-5725	135	89	§	§	PROPN
ejpam-5725	135	90	(	(	PUNCT
ejpam-5725	135	91	æ)+§(̊s	æ)+§(̊s	PROPN
ejpam-5725	135	92	)	)	PUNCT
ejpam-5725	135	93	2	2	NUM
ejpam-5725	135	94	(	(	PUNCT
ejpam-5725	135	95	jæ	jæ	NOUN
ejpam-5725	135	96	+	+	CCONJ
ejpam-5725	135	97	s̊,β	s̊,β	PROPN
ejpam-5725	135	98	)	)	PUNCT
ejpam-5725	135	99	(	(	PUNCT
ejpam-5725	135	100	ω′	ω′	X
ejpam-5725	135	101	,	,	PUNCT
ejpam-5725	135	102	1	1	X
ejpam-5725	135	103	)	)	PUNCT
ejpam-5725	135	104	corollary	corollary	ADJ
ejpam-5725	135	105	4	4	NUM
ejpam-5725	135	106	.	.	PUNCT
ejpam-5725	135	107	by	by	ADP
ejpam-5725	135	108	choosing	choose	VERB
ejpam-5725	135	109	h(to	h(to	NOUN
ejpam-5725	135	110	)	)	PUNCT
ejpam-5725	135	111	=	=	PUNCT
ejpam-5725	135	112	to	to	PART
ejpam-5725	135	113	in	in	ADP
ejpam-5725	135	114	theorem	theorem	PROPN
ejpam-5725	135	115	(	(	PUNCT
ejpam-5725	135	116	1	1	NUM
ejpam-5725	135	117	)	)	PUNCT
ejpam-5725	135	118	,	,	PUNCT
ejpam-5725	135	119	we	we	PRON
ejpam-5725	135	120	obtain	obtain	VERB
ejpam-5725	135	121	an	an	DET
ejpam-5725	135	122	(	(	PUNCT
ejpam-5725	135	123	h	h	NOUN
ejpam-5725	135	124	-	-	PUNCT
ejpam-5725	135	125	h	h	NOUN
ejpam-5725	135	126	)	)	PUNCT
ejpam-5725	135	127	type	type	NOUN
ejpam-5725	135	128	inequality	inequality	NOUN
ejpam-5725	135	129	for	for	ADP
ejpam-5725	135	130	(	(	PUNCT
ejpam-5725	135	131	g	g	NOUN
ejpam-5725	135	132	-	-	PUNCT
ejpam-5725	135	133	l	l	NOUN
ejpam-5725	135	134	)	)	PUNCT
ejpam-5725	135	135	functions	function	NOUN
ejpam-5725	135	136	:	:	PUNCT
ejpam-5725	135	137	1	1	NUM
ejpam-5725	135	138	4§	4§	NOUN
ejpam-5725	135	139	(	(	PUNCT
ejpam-5725	135	140	æ+s̊	æ+s̊	PROPN
ejpam-5725	135	141	2	2	NUM
ejpam-5725	135	142	)	)	PUNCT
ejpam-5725	135	143	(	(	PUNCT
ejpam-5725	135	144	js̊	js̊	PROPN
ejpam-5725	135	145	−	−	PROPN
ejpam-5725	136	1	æ	æ	PROPN
ejpam-5725	136	2	,	,	PUNCT
ejpam-5725	136	3	β	β	X
ejpam-5725	136	4	)	)	PUNCT
ejpam-5725	136	5	(	(	PUNCT
ejpam-5725	136	6	ω′	ω′	X
ejpam-5725	136	7	,	,	PUNCT
ejpam-5725	136	8	1	1	NUM
ejpam-5725	136	9	)	)	PUNCT
ejpam-5725	136	10	≤	≤	NUM
ejpam-5725	136	11	1	1	NUM
ejpam-5725	136	12	2	2	NUM
ejpam-5725	136	13	[	[	X
ejpam-5725	136	14	(	(	PUNCT
ejpam-5725	136	15	js̊	js̊	PROPN
ejpam-5725	136	16	−	−	PROPN
ejpam-5725	136	17	æ	æ	PROPN
ejpam-5725	136	18	,	,	PUNCT
ejpam-5725	136	19	β	β	X
ejpam-5725	136	20	)	)	PUNCT
ejpam-5725	136	21	(	(	PUNCT
ejpam-5725	136	22	ω′	ω′	X
ejpam-5725	136	23	,	,	PUNCT
ejpam-5725	136	24	§	§	PROPN
ejpam-5725	136	25	)	)	PUNCT
ejpam-5725	137	1	+	+	CCONJ
ejpam-5725	137	2	(	(	PUNCT
ejpam-5725	137	3	jæ	jæ	X
ejpam-5725	137	4	+	+	CCONJ
ejpam-5725	137	5	s̊,β	s̊,β	PROPN
ejpam-5725	137	6	)	)	PUNCT
ejpam-5725	137	7	(	(	PUNCT
ejpam-5725	137	8	ω′	ω′	X
ejpam-5725	137	9	,	,	PUNCT
ejpam-5725	137	10	§	§	PROPN
ejpam-5725	137	11	)	)	PUNCT
ejpam-5725	137	12	]	]	PUNCT
ejpam-5725	137	13	≤	≤	PROPN
ejpam-5725	137	14	§	§	PROPN
ejpam-5725	137	15	(	(	PUNCT
ejpam-5725	137	16	æ)+§(̊s	æ)+§(̊s	PROPN
ejpam-5725	137	17	)	)	PUNCT
ejpam-5725	137	18	2	2	NUM
ejpam-5725	137	19	∫	∫	NOUN
ejpam-5725	137	20	1	1	NUM
ejpam-5725	137	21	0	0	NUM
ejpam-5725	137	22	[	[	PUNCT
ejpam-5725	137	23	(	(	PUNCT
ejpam-5725	137	24	1−to)β−2	1−to)β−2	NUM
ejpam-5725	137	25	1−to	1−to	PROPN
ejpam-5725	137	26	]	]	X
ejpam-5725	137	27	jαβ	jαβ	PROPN
ejpam-5725	137	28	,	,	PUNCT
ejpam-5725	137	29	γ	γ	X
ejpam-5725	137	30	(	(	PUNCT
ejpam-5725	137	31	ω(1−	ω(1−	NOUN
ejpam-5725	137	32	to	to	ADP
ejpam-5725	137	33	)	)	PUNCT
ejpam-5725	138	1	α	α	X
ejpam-5725	138	2	;	;	PUNCT
ejpam-5725	138	3	p	p	X
ejpam-5725	138	4	)	)	PUNCT
ejpam-5725	138	5	dto	dto	PROPN
ejpam-5725	138	6	corollary	corollary	NOUN
ejpam-5725	138	7	5	5	NUM
ejpam-5725	138	8	.	.	PUNCT
ejpam-5725	138	9	choosing	choose	VERB
ejpam-5725	138	10	h(to	h(to	NOUN
ejpam-5725	138	11	)	)	PUNCT
ejpam-5725	138	12	=	=	SYM
ejpam-5725	139	1	1	1	NUM
ejpam-5725	139	2	/	/	SYM
ejpam-5725	139	3	tso	tso	PROPN
ejpam-5725	139	4	in	in	ADP
ejpam-5725	139	5	theorem	theorem	NOUN
ejpam-5725	139	6	(	(	PUNCT
ejpam-5725	139	7	1	1	NUM
ejpam-5725	139	8	)	)	PUNCT
ejpam-5725	139	9	,	,	PUNCT
ejpam-5725	139	10	we	we	PRON
ejpam-5725	139	11	obtain	obtain	VERB
ejpam-5725	139	12	an	an	DET
ejpam-5725	139	13	(	(	PUNCT
ejpam-5725	139	14	h	h	NOUN
ejpam-5725	139	15	-	-	PUNCT
ejpam-5725	139	16	h	h	NOUN
ejpam-5725	139	17	)	)	PUNCT
ejpam-5725	139	18	type	type	NOUN
ejpam-5725	139	19	inequality	inequality	NOUN
ejpam-5725	139	20	for	for	ADP
ejpam-5725	139	21	s	s	NOUN
ejpam-5725	139	22	-	-	PUNCT
ejpam-5725	139	23	convex	convex	ADJ
ejpam-5725	139	24	functions	function	NOUN
ejpam-5725	139	25	:	:	PUNCT
ejpam-5725	139	26	2s−1§	2s−1§	NUM
ejpam-5725	139	27	(	(	PUNCT
ejpam-5725	139	28	æ+s̊	æ+s̊	PROPN
ejpam-5725	139	29	2	2	NUM
ejpam-5725	139	30	)	)	PUNCT
ejpam-5725	139	31	(	(	PUNCT
ejpam-5725	139	32	ℑs̊−	ℑs̊−	X
ejpam-5725	139	33	æ	æ	PROPN
ejpam-5725	139	34	,	,	PUNCT
ejpam-5725	139	35	β	β	X
ejpam-5725	139	36	)	)	PUNCT
ejpam-5725	139	37	(	(	PUNCT
ejpam-5725	139	38	ω′	ω′	X
ejpam-5725	139	39	,	,	PUNCT
ejpam-5725	139	40	1	1	NUM
ejpam-5725	139	41	)	)	PUNCT
ejpam-5725	139	42	≤	≤	NUM
ejpam-5725	139	43	1	1	NUM
ejpam-5725	139	44	2	2	NUM
ejpam-5725	139	45	[	[	X
ejpam-5725	139	46	(	(	PUNCT
ejpam-5725	139	47	ℑs̊−	ℑs̊−	X
ejpam-5725	139	48	æ	æ	PROPN
ejpam-5725	139	49	,	,	PUNCT
ejpam-5725	139	50	β	β	X
ejpam-5725	139	51	)	)	PUNCT
ejpam-5725	139	52	(	(	PUNCT
ejpam-5725	139	53	ω′	ω′	X
ejpam-5725	139	54	,	,	PUNCT
ejpam-5725	139	55	§	§	PROPN
ejpam-5725	139	56	)	)	PUNCT
ejpam-5725	140	1	+	+	CCONJ
ejpam-5725	140	2	(	(	PUNCT
ejpam-5725	140	3	jæ	jæ	X
ejpam-5725	140	4	+	+	CCONJ
ejpam-5725	140	5	s̊,β	s̊,β	PROPN
ejpam-5725	140	6	)	)	PUNCT
ejpam-5725	140	7	(	(	PUNCT
ejpam-5725	140	8	ω′	ω′	X
ejpam-5725	140	9	,	,	PUNCT
ejpam-5725	140	10	§	§	PROPN
ejpam-5725	140	11	)	)	PUNCT
ejpam-5725	140	12	]	]	PUNCT
ejpam-5725	141	1	≤	≤	PROPN
ejpam-5725	141	2	§	§	PROPN
ejpam-5725	141	3	(	(	PUNCT
ejpam-5725	141	4	æ)+§(̊s	æ)+§(̊s	PROPN
ejpam-5725	141	5	)	)	PUNCT
ejpam-5725	141	6	2	2	NUM
ejpam-5725	141	7	∫	∫	NOUN
ejpam-5725	141	8	1	1	NUM
ejpam-5725	141	9	0	0	NUM
ejpam-5725	142	1	[	[	X
ejpam-5725	142	2	tso	tso	X
ejpam-5725	142	3	+	+	CCONJ
ejpam-5725	142	4	(	(	PUNCT
ejpam-5725	142	5	1−	1−	NUM
ejpam-5725	142	6	to	to	PART
ejpam-5725	142	7	)	)	PUNCT
ejpam-5725	142	8	s	s	PART
ejpam-5725	142	9	]	]	X
ejpam-5725	142	10	(	(	PUNCT
ejpam-5725	142	11	1−	1−	NUM
ejpam-5725	142	12	to	to	PART
ejpam-5725	142	13	)	)	PUNCT
ejpam-5725	142	14	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	142	15	,	,	PUNCT
ejpam-5725	142	16	γ	γ	X
ejpam-5725	142	17	(	(	PUNCT
ejpam-5725	142	18	ω(1−	ω(1−	NOUN
ejpam-5725	142	19	to	to	ADP
ejpam-5725	142	20	)	)	PUNCT
ejpam-5725	143	1	α	α	X
ejpam-5725	143	2	;	;	PUNCT
ejpam-5725	143	3	p	p	X
ejpam-5725	143	4	)	)	PUNCT
ejpam-5725	143	5	dto	dto	PROPN
ejpam-5725	143	6	r.	r.	PROPN
ejpam-5725	143	7	s.	s.	PROPN
ejpam-5725	143	8	ali	ali	PROPN
ejpam-5725	143	9	et	et	PROPN
ejpam-5725	143	10	al	al	PROPN
ejpam-5725	143	11	.	.	PUNCT
ejpam-5725	143	12	/	/	SYM
ejpam-5725	143	13	eur	eur	PROPN
ejpam-5725	143	14	.	.	PUNCT
ejpam-5725	144	1	j.	j.	PROPN
ejpam-5725	144	2	pure	pure	PROPN
ejpam-5725	144	3	appl	appl	PROPN
ejpam-5725	144	4	.	.	PROPN
ejpam-5725	144	5	math	math	PROPN
ejpam-5725	144	6	,	,	PUNCT
ejpam-5725	144	7	18	18	NUM
ejpam-5725	144	8	(	(	PUNCT
ejpam-5725	144	9	1	1	NUM
ejpam-5725	144	10	)	)	PUNCT
ejpam-5725	144	11	(	(	PUNCT
ejpam-5725	144	12	2025	2025	NUM
ejpam-5725	144	13	)	)	PUNCT
ejpam-5725	144	14	,	,	PUNCT
ejpam-5725	144	15	5725	5725	NUM
ejpam-5725	144	16	7	7	NUM
ejpam-5725	144	17	of	of	ADP
ejpam-5725	144	18	14	14	NUM
ejpam-5725	144	19	4	4	NUM
ejpam-5725	144	20	.	.	PUNCT
ejpam-5725	144	21	on	on	ADP
ejpam-5725	144	22	trapezoidal	trapezoidal	ADJ
ejpam-5725	144	23	-	-	PUNCT
ejpam-5725	144	24	type	type	NOUN
ejpam-5725	144	25	inequalities	inequality	NOUN
ejpam-5725	144	26	for	for	ADP
ejpam-5725	144	27	prabhakar	prabhakar	NOUN
ejpam-5725	144	28	functions	function	NOUN
ejpam-5725	144	29	with	with	ADP
ejpam-5725	144	30	preinvexity	preinvexity	NOUN
ejpam-5725	144	31	properties	property	NOUN
ejpam-5725	144	32	of	of	ADP
ejpam-5725	144	33	the	the	DET
ejpam-5725	144	34	h	h	NOUN
ejpam-5725	144	35	-	-	PUNCT
ejpam-5725	144	36	godunova	godunova	ADJ
ejpam-5725	144	37	-	-	PUNCT
ejpam-5725	144	38	levin	levin	PROPN
ejpam-5725	144	39	type	type	NOUN
ejpam-5725	144	40	in	in	ADP
ejpam-5725	144	41	this	this	DET
ejpam-5725	144	42	section	section	NOUN
ejpam-5725	144	43	,	,	PUNCT
ejpam-5725	144	44	we	we	PRON
ejpam-5725	144	45	prove	prove	VERB
ejpam-5725	144	46	a	a	DET
ejpam-5725	144	47	lemma	lemma	PROPN
ejpam-5725	144	48	concerning	concern	VERB
ejpam-5725	144	49	prabhakar	prabhakar	NOUN
ejpam-5725	144	50	fractional	fractional	ADJ
ejpam-5725	144	51	operators	operator	NOUN
ejpam-5725	144	52	that	that	PRON
ejpam-5725	144	53	possess	possess	VERB
ejpam-5725	144	54	the	the	DET
ejpam-5725	144	55	h	h	NOUN
ejpam-5725	144	56	-	-	PUNCT
ejpam-5725	144	57	godunova	godunova	ADJ
ejpam-5725	144	58	-	-	PUNCT
ejpam-5725	144	59	levin	levin	PROPN
ejpam-5725	144	60	preinvexity	preinvexity	NOUN
ejpam-5725	144	61	property	property	NOUN
ejpam-5725	144	62	.	.	PUNCT
ejpam-5725	145	1	this	this	DET
ejpam-5725	145	2	lemma	lemma	PROPN
ejpam-5725	145	3	is	be	AUX
ejpam-5725	145	4	crucial	crucial	ADJ
ejpam-5725	145	5	for	for	ADP
ejpam-5725	145	6	supporting	support	VERB
ejpam-5725	145	7	the	the	DET
ejpam-5725	145	8	derivation	derivation	NOUN
ejpam-5725	145	9	of	of	ADP
ejpam-5725	145	10	our	our	PRON
ejpam-5725	145	11	main	main	ADJ
ejpam-5725	145	12	results	result	NOUN
ejpam-5725	145	13	.	.	PUNCT
ejpam-5725	146	1	lemma	lemma	PROPN
ejpam-5725	146	2	1	1	X
ejpam-5725	146	3	.	.	PUNCT
ejpam-5725	147	1	let	let	VERB
ejpam-5725	147	2	§	§	PROPN
ejpam-5725	147	3	:	:	PUNCT
ejpam-5725	148	1	i	i	PRON
ejpam-5725	148	2	=	=	PUNCT
ejpam-5725	149	1	[	[	X
ejpam-5725	149	2	æ	æ	X
ejpam-5725	149	3	,	,	PUNCT
ejpam-5725	149	4	æ+	æ+	PUNCT
ejpam-5725	149	5	ζ	ζ	X
ejpam-5725	149	6	(	(	PUNCT
ejpam-5725	149	7	̊s	̊s	PROPN
ejpam-5725	149	8	,	,	PUNCT
ejpam-5725	149	9	æ	æ	NOUN
ejpam-5725	149	10	)	)	PUNCT
ejpam-5725	149	11	]	]	PUNCT
ejpam-5725	150	1	→	→	PUNCT
ejpam-5725	150	2	r	r	NOUN
ejpam-5725	150	3	be	be	AUX
ejpam-5725	150	4	a	a	DET
ejpam-5725	150	5	differentiable	differentiable	ADJ
ejpam-5725	150	6	function	function	NOUN
ejpam-5725	150	7	,	,	PUNCT
ejpam-5725	150	8	and	and	CCONJ
ejpam-5725	150	9	let	let	VERB
ejpam-5725	150	10	i	i	PRON
ejpam-5725	150	11	be	be	AUX
ejpam-5725	150	12	a	a	DET
ejpam-5725	150	13	set	set	NOUN
ejpam-5725	150	14	that	that	PRON
ejpam-5725	150	15	is	be	AUX
ejpam-5725	150	16	invex	invex	NOUN
ejpam-5725	150	17	with	with	ADP
ejpam-5725	150	18	respect	respect	NOUN
ejpam-5725	150	19	to	to	ADP
ejpam-5725	150	20	ζ	ζ	NOUN
ejpam-5725	150	21	:	:	PUNCT
ejpam-5725	150	22	i	i	PRON
ejpam-5725	150	23	×	×	VERB
ejpam-5725	150	24	i	i	INTJ
ejpam-5725	150	25	→	→	SYM
ejpam-5725	150	26	r	r	NOUN
ejpam-5725	150	27	,	,	PUNCT
ejpam-5725	150	28	where	where	SCONJ
ejpam-5725	150	29	ζ	ζ	NOUN
ejpam-5725	150	30	(	(	PUNCT
ejpam-5725	150	31	̊s	̊s	PROPN
ejpam-5725	150	32	,	,	PUNCT
ejpam-5725	150	33	æ	æ	NOUN
ejpam-5725	150	34	)	)	PUNCT
ejpam-5725	150	35	>	>	X
ejpam-5725	150	36	0	0	PUNCT
ejpam-5725	151	1	for	for	ADP
ejpam-5725	151	2	all	all	DET
ejpam-5725	151	3	s̊,æ	s̊,æ	PROPN
ejpam-5725	151	4	∈	∈	PROPN
ejpam-5725	151	5	i.	i.	NOUN
ejpam-5725	151	6	then	then	ADV
ejpam-5725	151	7	§	§	PROPN
ejpam-5725	151	8	(	(	PUNCT
ejpam-5725	151	9	æ	æ	NOUN
ejpam-5725	151	10	)	)	PUNCT
ejpam-5725	151	11	+	+	CCONJ
ejpam-5725	151	12	§	§	PROPN
ejpam-5725	151	13	(	(	PUNCT
ejpam-5725	151	14	æ	æ	PROPN
ejpam-5725	151	15	+	+	NUM
ejpam-5725	151	16	ζ	ζ	X
ejpam-5725	151	17	(	(	PUNCT
ejpam-5725	151	18	̊s	̊s	PROPN
ejpam-5725	151	19	,	,	PUNCT
ejpam-5725	151	20	æ	æ	NOUN
ejpam-5725	151	21	)	)	PUNCT
ejpam-5725	151	22	)	)	PUNCT
ejpam-5725	151	23	2	2	X
ejpam-5725	151	24	ℑα	ℑα	ADJ
ejpam-5725	151	25	β	β	NOUN
ejpam-5725	151	26	,	,	PUNCT
ejpam-5725	151	27	γ(ω	γ(ω	ADJ
ejpam-5725	151	28	;	;	PUNCT
ejpam-5725	151	29	p)−	p)−	NOUN
ejpam-5725	151	30	1	1	NUM
ejpam-5725	151	31	2ζ	2ζ	NUM
ejpam-5725	151	32	(	(	PUNCT
ejpam-5725	151	33	̊s	̊s	ADJ
ejpam-5725	151	34	,	,	PUNCT
ejpam-5725	151	35	æ)β−1	æ)β−1	X
ejpam-5725	151	36	(	(	PUNCT
ejpam-5725	151	37	9	9	NUM
ejpam-5725	151	38	)	)	PUNCT
ejpam-5725	151	39	×	×	NOUN
ejpam-5725	152	1	[	[	X
ejpam-5725	152	2	(	(	PUNCT
ejpam-5725	152	3	jæ	jæ	NOUN
ejpam-5725	152	4	+	+	PROPN
ejpam-5725	152	5	æ+ζ	æ+ζ	NUM
ejpam-5725	152	6	(	(	PUNCT
ejpam-5725	152	7	̊s	̊s	ADV
ejpam-5725	152	8	,	,	PUNCT
ejpam-5725	152	9	æ),β−1	æ),β−1	PROPN
ejpam-5725	152	10	)	)	PUNCT
ejpam-5725	152	11	(	(	PUNCT
ejpam-5725	152	12	ω′	ω′	NUM
ejpam-5725	152	13	;	;	PUNCT
ejpam-5725	152	14	§	§	PROPN
ejpam-5725	152	15	)	)	PUNCT
ejpam-5725	153	1	+	+	CCONJ
ejpam-5725	153	2	(	(	PUNCT
ejpam-5725	153	3	j	j	X
ejpam-5725	153	4	(	(	PUNCT
ejpam-5725	153	5	æ+ζ	æ+ζ	PUNCT
ejpam-5725	153	6	(	(	PUNCT
ejpam-5725	153	7	̊s	̊s	ADV
ejpam-5725	153	8	,	,	PUNCT
ejpam-5725	153	9	æ))−	æ))−	PROPN
ejpam-5725	153	10	æ	æ	PROPN
ejpam-5725	153	11	,	,	PUNCT
ejpam-5725	153	12	β−1	β−1	PUNCT
ejpam-5725	153	13	)	)	PUNCT
ejpam-5725	153	14	(	(	PUNCT
ejpam-5725	153	15	ω′	ω′	NUM
ejpam-5725	153	16	;	;	PUNCT
ejpam-5725	153	17	§	§	PROPN
ejpam-5725	153	18	)	)	PUNCT
ejpam-5725	153	19	]	]	PUNCT
ejpam-5725	153	20	=	=	PUNCT
ejpam-5725	153	21	ζ	ζ	X
ejpam-5725	153	22	(	(	PUNCT
ejpam-5725	153	23	̊s	̊s	PROPN
ejpam-5725	153	24	,	,	PUNCT
ejpam-5725	153	25	æ	æ	NOUN
ejpam-5725	153	26	)	)	PUNCT
ejpam-5725	153	27	2	2	NUM
ejpam-5725	153	28	i	i	PRON
ejpam-5725	153	29	where	where	SCONJ
ejpam-5725	153	30	i	i	PRON
ejpam-5725	153	31	=	=	PUNCT
ejpam-5725	153	32	∫	∫	PROPN
ejpam-5725	153	33	1	1	NUM
ejpam-5725	153	34	0	0	NUM
ejpam-5725	153	35	(	(	PUNCT
ejpam-5725	153	36	1−	1−	NUM
ejpam-5725	153	37	to	to	PART
ejpam-5725	153	38	)	)	PUNCT
ejpam-5725	153	39	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	153	40	,	,	PUNCT
ejpam-5725	153	41	γ	γ	X
ejpam-5725	153	42	(	(	PUNCT
ejpam-5725	153	43	ω(1−	ω(1−	NOUN
ejpam-5725	153	44	to	to	ADP
ejpam-5725	153	45	)	)	PUNCT
ejpam-5725	154	1	α	α	X
ejpam-5725	154	2	;	;	PUNCT
ejpam-5725	154	3	p	p	X
ejpam-5725	154	4	)	)	PUNCT
ejpam-5725	154	5	§	§	NOUN
ejpam-5725	154	6	′(æ	′(æ	NOUN
ejpam-5725	154	7	+	+	X
ejpam-5725	154	8	toζ	toζ	NOUN
ejpam-5725	154	9	(	(	PUNCT
ejpam-5725	154	10	̊s	̊s	PROPN
ejpam-5725	154	11	,	,	PUNCT
ejpam-5725	154	12	æ))dto	æ))dto	X
ejpam-5725	154	13	+	+	CCONJ
ejpam-5725	154	14	∫	∫	PROPN
ejpam-5725	154	15	1	1	NUM
ejpam-5725	154	16	0	0	NUM
ejpam-5725	154	17	(	(	PUNCT
ejpam-5725	154	18	−to	−to	NOUN
ejpam-5725	154	19	)	)	PUNCT
ejpam-5725	154	20	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	154	21	,	,	PUNCT
ejpam-5725	154	22	γ	γ	X
ejpam-5725	154	23	(	(	PUNCT
ejpam-5725	154	24	ω(to	ω(to	NOUN
ejpam-5725	154	25	)	)	PUNCT
ejpam-5725	154	26	α	α	NOUN
ejpam-5725	154	27	;	;	PUNCT
ejpam-5725	154	28	p	p	X
ejpam-5725	154	29	)	)	PUNCT
ejpam-5725	154	30	§	§	NOUN
ejpam-5725	154	31	′(æ	′(æ	NOUN
ejpam-5725	154	32	+	+	X
ejpam-5725	154	33	toζ	toζ	NOUN
ejpam-5725	154	34	(	(	PUNCT
ejpam-5725	154	35	̊s	̊s	ADJ
ejpam-5725	154	36	,	,	PUNCT
ejpam-5725	154	37	æ))dto	æ))dto	NOUN
ejpam-5725	154	38	,	,	PUNCT
ejpam-5725	154	39	and	and	CCONJ
ejpam-5725	154	40	ω′	ω′	NUM
ejpam-5725	154	41	=	=	SYM
ejpam-5725	154	42	(	(	PUNCT
ejpam-5725	154	43	ω	ω	NOUN
ejpam-5725	154	44	/	/	SYM
ejpam-5725	154	45	ζ	ζ	NOUN
ejpam-5725	154	46	(	(	PUNCT
ejpam-5725	154	47	̊s	̊s	NOUN
ejpam-5725	154	48	,	,	PUNCT
ejpam-5725	154	49	æ)α	æ)α	NOUN
ejpam-5725	154	50	)	)	PUNCT
ejpam-5725	154	51	.	.	PUNCT
ejpam-5725	155	1	proof	proof	NOUN
ejpam-5725	155	2	.	.	PUNCT
ejpam-5725	156	1	consider	consider	VERB
ejpam-5725	156	2	the	the	DET
ejpam-5725	156	3	integral	integral	ADJ
ejpam-5725	156	4	i	i	NOUN
ejpam-5725	156	5	=	=	PUNCT
ejpam-5725	156	6	∫	∫	PROPN
ejpam-5725	156	7	1	1	NUM
ejpam-5725	156	8	0	0	NUM
ejpam-5725	156	9	(	(	PUNCT
ejpam-5725	156	10	1−	1−	NUM
ejpam-5725	156	11	to	to	PART
ejpam-5725	156	12	)	)	PUNCT
ejpam-5725	156	13	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	156	14	,	,	PUNCT
ejpam-5725	156	15	γ	γ	X
ejpam-5725	156	16	(	(	PUNCT
ejpam-5725	156	17	ω(1−	ω(1−	NOUN
ejpam-5725	156	18	to	to	ADP
ejpam-5725	156	19	)	)	PUNCT
ejpam-5725	157	1	α	α	X
ejpam-5725	157	2	;	;	PUNCT
ejpam-5725	157	3	p	p	X
ejpam-5725	157	4	)	)	PUNCT
ejpam-5725	157	5	§	§	NOUN
ejpam-5725	157	6	′(æ	′(æ	NOUN
ejpam-5725	157	7	+	+	X
ejpam-5725	157	8	toζ	toζ	NOUN
ejpam-5725	157	9	(	(	PUNCT
ejpam-5725	157	10	̊s	̊s	PROPN
ejpam-5725	157	11	,	,	PUNCT
ejpam-5725	157	12	æ))dto	æ))dto	X
ejpam-5725	157	13	+	+	CCONJ
ejpam-5725	157	14	∫	∫	PROPN
ejpam-5725	157	15	1	1	NUM
ejpam-5725	157	16	0	0	NUM
ejpam-5725	157	17	(	(	PUNCT
ejpam-5725	157	18	−to	−to	NOUN
ejpam-5725	157	19	)	)	PUNCT
ejpam-5725	157	20	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	157	21	,	,	PUNCT
ejpam-5725	157	22	γ	γ	X
ejpam-5725	157	23	(	(	PUNCT
ejpam-5725	157	24	ω(to	ω(to	NOUN
ejpam-5725	157	25	)	)	PUNCT
ejpam-5725	157	26	α	α	NOUN
ejpam-5725	157	27	;	;	PUNCT
ejpam-5725	157	28	p	p	X
ejpam-5725	157	29	)	)	PUNCT
ejpam-5725	157	30	§	§	NOUN
ejpam-5725	157	31	′(æ	′(æ	NOUN
ejpam-5725	157	32	+	+	X
ejpam-5725	157	33	toζ	toζ	NOUN
ejpam-5725	157	34	(	(	PUNCT
ejpam-5725	157	35	̊s	̊s	PROPN
ejpam-5725	157	36	,	,	PUNCT
ejpam-5725	157	37	æ))dto	æ))dto	X
ejpam-5725	157	38	(	(	PUNCT
ejpam-5725	157	39	10	10	NUM
ejpam-5725	157	40	)	)	PUNCT
ejpam-5725	157	41	let	let	VERB
ejpam-5725	157	42	i	i	PRON
ejpam-5725	157	43	=	=	PROPN
ejpam-5725	157	44	i1	i1	PROPN
ejpam-5725	157	45	+	+	CCONJ
ejpam-5725	157	46	i2	i2	PROPN
ejpam-5725	157	47	first	first	ADV
ejpam-5725	157	48	,	,	PUNCT
ejpam-5725	157	49	we	we	PRON
ejpam-5725	157	50	take	take	VERB
ejpam-5725	157	51	the	the	DET
ejpam-5725	157	52	fractional	fractional	ADJ
ejpam-5725	157	53	integral	integral	ADJ
ejpam-5725	157	54	i1	i1	PROPN
ejpam-5725	157	55	,	,	PUNCT
ejpam-5725	157	56	we	we	PRON
ejpam-5725	157	57	have	have	VERB
ejpam-5725	157	58	i1	i1	PROPN
ejpam-5725	157	59	=	=	PUNCT
ejpam-5725	158	1	+	+	PROPN
ejpam-5725	158	2	∞∑	∞∑	NUM
ejpam-5725	158	3	s̊=0	s̊=0	NOUN
ejpam-5725	158	4	(	(	PUNCT
ejpam-5725	158	5	γ)n	γ)n	X
ejpam-5725	158	6	γ(βn+	γ(βn+	ADJ
ejpam-5725	158	7	α	α	X
ejpam-5725	158	8	)	)	PUNCT
ejpam-5725	158	9	wn	wn	PROPN
ejpam-5725	158	10	n	n	PROPN
ejpam-5725	158	11	!	!	PUNCT
ejpam-5725	158	12	∫	∫	PROPN
ejpam-5725	159	1	1	1	NUM
ejpam-5725	159	2	0	0	NUM
ejpam-5725	159	3	(	(	PUNCT
ejpam-5725	159	4	1−	1−	NUM
ejpam-5725	159	5	to	to	ADP
ejpam-5725	159	6	)	)	PUNCT
ejpam-5725	159	7	β−1+αn§′(æ	β−1+αn§′(æ	PUNCT
ejpam-5725	160	1	+	+	CCONJ
ejpam-5725	160	2	toζ	toζ	NOUN
ejpam-5725	160	3	(	(	PUNCT
ejpam-5725	160	4	̊s	̊s	PROPN
ejpam-5725	160	5	,	,	PUNCT
ejpam-5725	160	6	æ))dto	æ))dto	NOUN
ejpam-5725	160	7	taking	take	VERB
ejpam-5725	160	8	the	the	DET
ejpam-5725	160	9	integration	integration	NOUN
ejpam-5725	160	10	by	by	ADP
ejpam-5725	160	11	parts	part	NOUN
ejpam-5725	160	12	,	,	PUNCT
ejpam-5725	160	13	we	we	PRON
ejpam-5725	160	14	have	have	VERB
ejpam-5725	160	15	i1	i1	NOUN
ejpam-5725	160	16	=	=	PUNCT
ejpam-5725	161	1	+	+	ADP
ejpam-5725	161	2	∞∑	∞∑	PROPN
ejpam-5725	161	3	n=0	n=0	NUM
ejpam-5725	161	4	(	(	PUNCT
ejpam-5725	161	5	γ)n	γ)n	X
ejpam-5725	161	6	γ(βn+	γ(βn+	ADJ
ejpam-5725	161	7	α	α	X
ejpam-5725	161	8	)	)	PUNCT
ejpam-5725	161	9	wn	wn	PROPN
ejpam-5725	161	10	n	n	PROPN
ejpam-5725	161	11	!	!	PUNCT
ejpam-5725	161	12	×	×	NOUN
ejpam-5725	161	13	[	[	PUNCT
ejpam-5725	161	14	(	(	PUNCT
ejpam-5725	161	15	1−	1−	NUM
ejpam-5725	161	16	to	to	ADP
ejpam-5725	161	17	)	)	PUNCT
ejpam-5725	161	18	β+αn−1	β+αn−1	PROPN
ejpam-5725	162	1	§	§	PROPN
ejpam-5725	162	2	(	(	PUNCT
ejpam-5725	162	3	æ	æ	PROPN
ejpam-5725	162	4	+	+	NUM
ejpam-5725	162	5	toζ	toζ	NOUN
ejpam-5725	162	6	(	(	PUNCT
ejpam-5725	162	7	̊s	̊s	PROPN
ejpam-5725	162	8	,	,	PUNCT
ejpam-5725	162	9	æ	æ	NOUN
ejpam-5725	162	10	)	)	PUNCT
ejpam-5725	162	11	)	)	PUNCT
ejpam-5725	162	12	ζ	ζ	NOUN
ejpam-5725	162	13	(	(	PUNCT
ejpam-5725	162	14	̊s	̊s	PROPN
ejpam-5725	162	15	,	,	PUNCT
ejpam-5725	162	16	æ	æ	NOUN
ejpam-5725	162	17	)	)	PUNCT
ejpam-5725	162	18	∣∣∣∣1	∣∣∣∣1	NOUN
ejpam-5725	162	19	0	0	NUM
ejpam-5725	162	20	−β	−β	NOUN
ejpam-5725	162	21	+	+	NUM
ejpam-5725	162	22	αn−	αn−	NUM
ejpam-5725	162	23	1	1	NUM
ejpam-5725	162	24	ζ	ζ	NOUN
ejpam-5725	162	25	(	(	PUNCT
ejpam-5725	162	26	̊s	̊s	PROPN
ejpam-5725	162	27	,	,	PUNCT
ejpam-5725	162	28	æ	æ	NOUN
ejpam-5725	162	29	)	)	PUNCT
ejpam-5725	162	30	∫	∫	PROPN
ejpam-5725	162	31	1	1	NUM
ejpam-5725	162	32	0	0	NUM
ejpam-5725	162	33	(	(	PUNCT
ejpam-5725	162	34	1−	1−	NUM
ejpam-5725	162	35	to	to	PART
ejpam-5725	162	36	)	)	PUNCT
ejpam-5725	162	37	β+αn−2§(æ	β+αn−2§(æ	NOUN
ejpam-5725	163	1	+	+	CCONJ
ejpam-5725	163	2	toζ	toζ	ADJ
ejpam-5725	163	3	(	(	PUNCT
ejpam-5725	163	4	̊s	̊s	PROPN
ejpam-5725	163	5	,	,	PUNCT
ejpam-5725	163	6	æ))dto	æ))dto	X
ejpam-5725	163	7	]	]	X
ejpam-5725	163	8	i1	i1	PROPN
ejpam-5725	163	9	=	=	PUNCT
ejpam-5725	164	1	+	+	PROPN
ejpam-5725	164	2	∞∑	∞∑	PROPN
ejpam-5725	164	3	n=0	n=0	NUM
ejpam-5725	164	4	(	(	PUNCT
ejpam-5725	164	5	γ)n	γ)n	X
ejpam-5725	164	6	γ(βn+	γ(βn+	ADJ
ejpam-5725	164	7	α	α	X
ejpam-5725	164	8	)	)	PUNCT
ejpam-5725	164	9	wn	wn	PROPN
ejpam-5725	164	10	n	n	PROPN
ejpam-5725	164	11	!	!	PUNCT
ejpam-5725	164	12	r.	r.	PROPN
ejpam-5725	164	13	s.	s.	PROPN
ejpam-5725	164	14	ali	ali	PROPN
ejpam-5725	164	15	et	et	PROPN
ejpam-5725	164	16	al	al	PROPN
ejpam-5725	164	17	.	.	PUNCT
ejpam-5725	164	18	/	/	SYM
ejpam-5725	164	19	eur	eur	PROPN
ejpam-5725	164	20	.	.	PUNCT
ejpam-5725	165	1	j.	j.	PROPN
ejpam-5725	165	2	pure	pure	PROPN
ejpam-5725	165	3	appl	appl	PROPN
ejpam-5725	165	4	.	.	PROPN
ejpam-5725	165	5	math	math	PROPN
ejpam-5725	165	6	,	,	PUNCT
ejpam-5725	165	7	18	18	NUM
ejpam-5725	165	8	(	(	PUNCT
ejpam-5725	165	9	1	1	NUM
ejpam-5725	165	10	)	)	PUNCT
ejpam-5725	165	11	(	(	PUNCT
ejpam-5725	165	12	2025	2025	NUM
ejpam-5725	165	13	)	)	PUNCT
ejpam-5725	165	14	,	,	PUNCT
ejpam-5725	165	15	5725	5725	NUM
ejpam-5725	165	16	8	8	NUM
ejpam-5725	165	17	of	of	ADP
ejpam-5725	165	18	14	14	NUM
ejpam-5725	165	19	×	×	NOUN
ejpam-5725	165	20	[	[	PUNCT
ejpam-5725	165	21	(	(	PUNCT
ejpam-5725	165	22	æ	æ	X
ejpam-5725	165	23	+	+	NUM
ejpam-5725	165	24	ζ	ζ	X
ejpam-5725	165	25	(	(	PUNCT
ejpam-5725	165	26	̊s	̊s	PROPN
ejpam-5725	165	27	,	,	PUNCT
ejpam-5725	165	28	æ	æ	NOUN
ejpam-5725	165	29	)	)	PUNCT
ejpam-5725	165	30	)	)	PUNCT
ejpam-5725	165	31	ζ	ζ	NOUN
ejpam-5725	165	32	(	(	PUNCT
ejpam-5725	165	33	̊s	̊s	PROPN
ejpam-5725	165	34	,	,	PUNCT
ejpam-5725	165	35	æ	æ	NOUN
ejpam-5725	165	36	)	)	PUNCT
ejpam-5725	166	1	−	−	NOUN
ejpam-5725	166	2	β	β	NOUN
ejpam-5725	166	3	+	+	PUNCT
ejpam-5725	166	4	αn−	αn−	NUM
ejpam-5725	166	5	1	1	NUM
ejpam-5725	166	6	ζ	ζ	NOUN
ejpam-5725	166	7	(	(	PUNCT
ejpam-5725	166	8	̊s	̊s	PROPN
ejpam-5725	166	9	,	,	PUNCT
ejpam-5725	166	10	æ	æ	NOUN
ejpam-5725	166	11	)	)	PUNCT
ejpam-5725	166	12	∫	∫	PROPN
ejpam-5725	166	13	1	1	NUM
ejpam-5725	166	14	0	0	NUM
ejpam-5725	166	15	(	(	PUNCT
ejpam-5725	166	16	1−	1−	NUM
ejpam-5725	166	17	to	to	PART
ejpam-5725	166	18	)	)	PUNCT
ejpam-5725	166	19	β+αn−2§(æ	β+αn−2§(æ	NOUN
ejpam-5725	167	1	+	+	CCONJ
ejpam-5725	167	2	toζ	toζ	ADJ
ejpam-5725	167	3	(	(	PUNCT
ejpam-5725	167	4	̊s	̊s	PROPN
ejpam-5725	167	5	,	,	PUNCT
ejpam-5725	167	6	æ))dto	æ))dto	X
ejpam-5725	167	7	]	]	X
ejpam-5725	167	8	i1	i1	PROPN
ejpam-5725	167	9	=	=	PUNCT
ejpam-5725	167	10	§	§	PROPN
ejpam-5725	167	11	(	(	PUNCT
ejpam-5725	167	12	æ	æ	PROPN
ejpam-5725	167	13	+	+	NUM
ejpam-5725	167	14	ζ	ζ	X
ejpam-5725	167	15	(	(	PUNCT
ejpam-5725	167	16	̊s	̊s	PROPN
ejpam-5725	167	17	,	,	PUNCT
ejpam-5725	167	18	æ	æ	NOUN
ejpam-5725	167	19	)	)	PUNCT
ejpam-5725	167	20	)	)	PUNCT
ejpam-5725	167	21	ζ	ζ	NOUN
ejpam-5725	167	22	(	(	PUNCT
ejpam-5725	167	23	̊s	̊s	PROPN
ejpam-5725	167	24	,	,	PUNCT
ejpam-5725	167	25	æ	æ	NOUN
ejpam-5725	167	26	)	)	PUNCT
ejpam-5725	167	27	ℑα	ℑα	ADJ
ejpam-5725	167	28	β	β	NOUN
ejpam-5725	167	29	,	,	PUNCT
ejpam-5725	167	30	γ(ω	γ(ω	ADJ
ejpam-5725	167	31	;	;	PUNCT
ejpam-5725	167	32	p)−	p)−	NOUN
ejpam-5725	167	33	1	1	NUM
ejpam-5725	167	34	(	(	PUNCT
ejpam-5725	167	35	ζ	ζ	NOUN
ejpam-5725	167	36	(	(	PUNCT
ejpam-5725	167	37	̊s	̊s	ADJ
ejpam-5725	167	38	,	,	PUNCT
ejpam-5725	167	39	æ))β	æ))β	NOUN
ejpam-5725	167	40	(	(	PUNCT
ejpam-5725	167	41	jæ	jæ	NOUN
ejpam-5725	167	42	+	+	X
ejpam-5725	167	43	æ+ζ	æ+ζ	NUM
ejpam-5725	167	44	(	(	PUNCT
ejpam-5725	167	45	̊s	̊s	ADV
ejpam-5725	167	46	,	,	PUNCT
ejpam-5725	167	47	æ),β−1	æ),β−1	PROPN
ejpam-5725	167	48	)	)	PUNCT
ejpam-5725	167	49	(	(	PUNCT
ejpam-5725	167	50	ω′	ω′	X
ejpam-5725	167	51	,	,	PUNCT
ejpam-5725	167	52	§	§	PROPN
ejpam-5725	167	53	)	)	PUNCT
ejpam-5725	167	54	continuing	continue	VERB
ejpam-5725	167	55	in	in	ADP
ejpam-5725	167	56	the	the	DET
ejpam-5725	167	57	same	same	ADJ
ejpam-5725	167	58	manner	manner	NOUN
ejpam-5725	167	59	,	,	PUNCT
ejpam-5725	167	60	we	we	PRON
ejpam-5725	167	61	obtain	obtain	VERB
ejpam-5725	167	62	i2	i2	PROPN
ejpam-5725	167	63	=	=	SYM
ejpam-5725	167	64	§	§	PROPN
ejpam-5725	167	65	(	(	PUNCT
ejpam-5725	167	66	æ	æ	NOUN
ejpam-5725	167	67	)	)	PUNCT
ejpam-5725	167	68	ζ	ζ	NOUN
ejpam-5725	167	69	(	(	PUNCT
ejpam-5725	167	70	̊s	̊s	PROPN
ejpam-5725	167	71	,	,	PUNCT
ejpam-5725	167	72	æ	æ	NOUN
ejpam-5725	167	73	)	)	PUNCT
ejpam-5725	167	74	jαβ	jαβ	NOUN
ejpam-5725	167	75	,	,	PUNCT
ejpam-5725	167	76	γ(ω	γ(ω	PROPN
ejpam-5725	167	77	;	;	PUNCT
ejpam-5725	167	78	p)−	p)−	NOUN
ejpam-5725	167	79	1	1	NUM
ejpam-5725	167	80	(	(	PUNCT
ejpam-5725	167	81	ζ	ζ	NOUN
ejpam-5725	167	82	(	(	PUNCT
ejpam-5725	167	83	̊s	̊s	PROPN
ejpam-5725	167	84	,	,	PUNCT
ejpam-5725	167	85	æ))β	æ))β	NOUN
ejpam-5725	167	86	(	(	PUNCT
ejpam-5725	167	87	j	j	PROPN
ejpam-5725	167	88	æ+ζ	æ+ζ	PROPN
ejpam-5725	168	1	(	(	PUNCT
ejpam-5725	168	2	̊s	̊s	PROPN
ejpam-5725	168	3	,	,	PUNCT
ejpam-5725	168	4	æ)−	æ)−	PROPN
ejpam-5725	168	5	æ	æ	PROPN
ejpam-5725	168	6	,	,	PUNCT
ejpam-5725	168	7	β−1	β−1	PUNCT
ejpam-5725	168	8	)	)	PUNCT
ejpam-5725	168	9	(	(	PUNCT
ejpam-5725	168	10	ω′	ω′	X
ejpam-5725	168	11	,	,	PUNCT
ejpam-5725	168	12	§	§	PROPN
ejpam-5725	168	13	)	)	PUNCT
ejpam-5725	169	1	i	i	PROPN
ejpam-5725	169	2	=	=	SYM
ejpam-5725	169	3	§	§	PROPN
ejpam-5725	169	4	(	(	PUNCT
ejpam-5725	169	5	æ	æ	NOUN
ejpam-5725	169	6	)	)	PUNCT
ejpam-5725	169	7	+	+	CCONJ
ejpam-5725	169	8	§	§	PROPN
ejpam-5725	169	9	(	(	PUNCT
ejpam-5725	169	10	æ	æ	PROPN
ejpam-5725	169	11	+	+	NUM
ejpam-5725	169	12	ζ	ζ	X
ejpam-5725	169	13	(	(	PUNCT
ejpam-5725	169	14	̊s	̊s	PROPN
ejpam-5725	169	15	,	,	PUNCT
ejpam-5725	169	16	æ	æ	NOUN
ejpam-5725	169	17	)	)	PUNCT
ejpam-5725	169	18	)	)	PUNCT
ejpam-5725	169	19	ζ	ζ	NOUN
ejpam-5725	169	20	(	(	PUNCT
ejpam-5725	169	21	̊s	̊s	PROPN
ejpam-5725	169	22	,	,	PUNCT
ejpam-5725	169	23	æ	æ	NOUN
ejpam-5725	169	24	)	)	PUNCT
ejpam-5725	169	25	jαβ	jαβ	NOUN
ejpam-5725	169	26	,	,	PUNCT
ejpam-5725	169	27	γ(ω	γ(ω	PROPN
ejpam-5725	169	28	;	;	PUNCT
ejpam-5725	169	29	p)−	p)−	NOUN
ejpam-5725	169	30	1	1	NUM
ejpam-5725	169	31	(	(	PUNCT
ejpam-5725	169	32	ζ	ζ	NOUN
ejpam-5725	169	33	(	(	PUNCT
ejpam-5725	169	34	̊s	̊s	ADJ
ejpam-5725	169	35	,	,	PUNCT
ejpam-5725	169	36	æ))β	æ))β	NOUN
ejpam-5725	169	37	×	×	NOUN
ejpam-5725	170	1	[	[	X
ejpam-5725	170	2	(	(	PUNCT
ejpam-5725	170	3	j	j	X
ejpam-5725	170	4	(	(	PUNCT
ejpam-5725	170	5	æ+ζ	æ+ζ	PUNCT
ejpam-5725	170	6	(	(	PUNCT
ejpam-5725	170	7	̊s	̊s	ADV
ejpam-5725	170	8	,	,	PUNCT
ejpam-5725	170	9	æ))−	æ))−	PROPN
ejpam-5725	170	10	æ	æ	PROPN
ejpam-5725	170	11	,	,	PUNCT
ejpam-5725	170	12	β−1	β−1	PUNCT
ejpam-5725	170	13	)	)	PUNCT
ejpam-5725	170	14	(	(	PUNCT
ejpam-5725	170	15	ω′	ω′	X
ejpam-5725	170	16	,	,	PUNCT
ejpam-5725	170	17	§	§	PROPN
ejpam-5725	170	18	)	)	PUNCT
ejpam-5725	170	19	+	+	CCONJ
ejpam-5725	170	20	(	(	PUNCT
ejpam-5725	170	21	jæ	jæ	X
ejpam-5725	170	22	+	+	NOUN
ejpam-5725	170	23	æ+ζ	æ+ζ	NUM
ejpam-5725	170	24	(	(	PUNCT
ejpam-5725	170	25	̊s	̊s	ADV
ejpam-5725	170	26	,	,	PUNCT
ejpam-5725	170	27	æ),β−1	æ),β−1	PROPN
ejpam-5725	170	28	)	)	PUNCT
ejpam-5725	170	29	(	(	PUNCT
ejpam-5725	170	30	ω′	ω′	X
ejpam-5725	170	31	,	,	PUNCT
ejpam-5725	170	32	§	§	PROPN
ejpam-5725	170	33	)	)	PUNCT
ejpam-5725	170	34	]	]	PUNCT
ejpam-5725	170	35	by	by	ADP
ejpam-5725	170	36	multiplying	multiply	VERB
ejpam-5725	170	37	by	by	ADP
ejpam-5725	170	38	ζ	ζ	PROPN
ejpam-5725	170	39	(	(	PUNCT
ejpam-5725	170	40	̊s	̊s	PRON
ejpam-5725	170	41	,	,	PUNCT
ejpam-5725	170	42	æ)/2	æ)/2	PROPN
ejpam-5725	170	43	,	,	PUNCT
ejpam-5725	170	44	we	we	PRON
ejpam-5725	170	45	obtain	obtain	VERB
ejpam-5725	170	46	§	§	PROPN
ejpam-5725	170	47	(	(	PUNCT
ejpam-5725	170	48	æ	æ	NOUN
ejpam-5725	170	49	)	)	PUNCT
ejpam-5725	171	1	+	+	CCONJ
ejpam-5725	171	2	§	§	PROPN
ejpam-5725	171	3	(	(	PUNCT
ejpam-5725	171	4	æ	æ	PROPN
ejpam-5725	171	5	+	+	NUM
ejpam-5725	171	6	ζ	ζ	X
ejpam-5725	171	7	(	(	PUNCT
ejpam-5725	171	8	̊s	̊s	PROPN
ejpam-5725	171	9	,	,	PUNCT
ejpam-5725	171	10	æ	æ	NOUN
ejpam-5725	171	11	)	)	PUNCT
ejpam-5725	171	12	)	)	PUNCT
ejpam-5725	171	13	2	2	X
ejpam-5725	171	14	ℑα	ℑα	ADJ
ejpam-5725	171	15	β	β	NOUN
ejpam-5725	171	16	,	,	PUNCT
ejpam-5725	171	17	γ(ω	γ(ω	ADJ
ejpam-5725	171	18	;	;	PUNCT
ejpam-5725	171	19	p)−	p)−	NOUN
ejpam-5725	171	20	1	1	NUM
ejpam-5725	171	21	2ζ	2ζ	NUM
ejpam-5725	171	22	(	(	PUNCT
ejpam-5725	171	23	̊s	̊s	ADJ
ejpam-5725	171	24	,	,	PUNCT
ejpam-5725	171	25	æ)β−1	æ)β−1	ADP
ejpam-5725	171	26	×	×	NOUN
ejpam-5725	171	27	[	[	X
ejpam-5725	171	28	(	(	PUNCT
ejpam-5725	171	29	jæ	jæ	NOUN
ejpam-5725	171	30	+	+	PROPN
ejpam-5725	171	31	æ+ζ	æ+ζ	NUM
ejpam-5725	171	32	(	(	PUNCT
ejpam-5725	171	33	̊s	̊s	ADV
ejpam-5725	171	34	,	,	PUNCT
ejpam-5725	171	35	æ),β−1	æ),β−1	PROPN
ejpam-5725	171	36	)	)	PUNCT
ejpam-5725	171	37	(	(	PUNCT
ejpam-5725	171	38	ω′	ω′	NUM
ejpam-5725	171	39	;	;	PUNCT
ejpam-5725	171	40	§	§	PROPN
ejpam-5725	171	41	)	)	PUNCT
ejpam-5725	172	1	+	+	CCONJ
ejpam-5725	172	2	(	(	PUNCT
ejpam-5725	172	3	j	j	X
ejpam-5725	172	4	(	(	PUNCT
ejpam-5725	172	5	æ+ζ	æ+ζ	PUNCT
ejpam-5725	172	6	(	(	PUNCT
ejpam-5725	172	7	̊s	̊s	ADV
ejpam-5725	172	8	,	,	PUNCT
ejpam-5725	172	9	æ))−	æ))−	PROPN
ejpam-5725	172	10	æ	æ	PROPN
ejpam-5725	172	11	,	,	PUNCT
ejpam-5725	172	12	β−1	β−1	PUNCT
ejpam-5725	172	13	)	)	PUNCT
ejpam-5725	172	14	(	(	PUNCT
ejpam-5725	172	15	ω′	ω′	NUM
ejpam-5725	172	16	;	;	PUNCT
ejpam-5725	172	17	§	§	PROPN
ejpam-5725	172	18	)	)	PUNCT
ejpam-5725	172	19	]	]	PUNCT
ejpam-5725	172	20	=	=	PUNCT
ejpam-5725	172	21	ζ	ζ	X
ejpam-5725	172	22	(	(	PUNCT
ejpam-5725	172	23	̊s	̊s	PROPN
ejpam-5725	172	24	,	,	PUNCT
ejpam-5725	172	25	æ	æ	NOUN
ejpam-5725	172	26	)	)	PUNCT
ejpam-5725	172	27	2	2	NUM
ejpam-5725	172	28	i	i	PRON
ejpam-5725	172	29	by	by	ADP
ejpam-5725	172	30	lemma	lemma	PROPN
ejpam-5725	172	31	1	1	NUM
ejpam-5725	172	32	,	,	PUNCT
ejpam-5725	172	33	we	we	PRON
ejpam-5725	172	34	present	present	VERB
ejpam-5725	172	35	the	the	DET
ejpam-5725	172	36	following	follow	VERB
ejpam-5725	172	37	theorem	theorem	PROPN
ejpam-5725	172	38	.	.	PUNCT
ejpam-5725	172	39	theorem	theorem	NOUN
ejpam-5725	172	40	2	2	NUM
ejpam-5725	172	41	.	.	X
ejpam-5725	172	42	consider	consider	VERB
ejpam-5725	172	43	a	a	DET
ejpam-5725	172	44	function	function	NOUN
ejpam-5725	172	45	§	§	NOUN
ejpam-5725	172	46	:	:	PUNCT
ejpam-5725	172	47	i=[æ	i=[æ	ADV
ejpam-5725	172	48	,	,	PUNCT
ejpam-5725	172	49	æ+	æ+	PUNCT
ejpam-5725	172	50	ζ	ζ	X
ejpam-5725	172	51	(	(	PUNCT
ejpam-5725	172	52	̊s	̊s	PROPN
ejpam-5725	172	53	,	,	PUNCT
ejpam-5725	172	54	æ	æ	NOUN
ejpam-5725	172	55	)	)	PUNCT
ejpam-5725	172	56	]	]	X
ejpam-5725	173	1	−→	−→	NOUN
ejpam-5725	173	2	(	(	PUNCT
ejpam-5725	173	3	0,+∞)withi	0,+∞)withi	NUM
ejpam-5725	173	4	∈	∈	PROPN
ejpam-5725	173	5	r	r	NOUN
ejpam-5725	173	6	,	,	PUNCT
ejpam-5725	173	7	and	and	CCONJ
ejpam-5725	173	8	let	let	VERB
ejpam-5725	173	9	it	it	PRON
ejpam-5725	173	10	be	be	AUX
ejpam-5725	173	11	a	a	DET
ejpam-5725	173	12	differentiable	differentiable	ADJ
ejpam-5725	173	13	function	function	NOUN
ejpam-5725	173	14	on	on	ADP
ejpam-5725	173	15	i.	i.	PROPN
ejpam-5725	173	16	also	also	ADV
ejpam-5725	173	17	,	,	PUNCT
ejpam-5725	173	18	suppose	suppose	VERB
ejpam-5725	173	19	that	that	SCONJ
ejpam-5725	173	20	|§′|	|§′|	PROPN
ejpam-5725	173	21	is	be	AUX
ejpam-5725	173	22	a	a	DET
ejpam-5725	173	23	h	h	NOUN
ejpam-5725	173	24	-	-	PUNCT
ejpam-5725	173	25	godunova	godunova	ADJ
ejpam-5725	173	26	-	-	PUNCT
ejpam-5725	173	27	levin	levin	PROPN
ejpam-5725	173	28	preinvex	preinvex	PROPN
ejpam-5725	173	29	function	function	NOUN
ejpam-5725	173	30	on	on	ADP
ejpam-5725	173	31	i	i	PRON
ejpam-5725	173	32	;	;	PUNCT
ejpam-5725	173	33	then	then	ADV
ejpam-5725	173	34	,	,	PUNCT
ejpam-5725	173	35	§	§	PROPN
ejpam-5725	173	36	(	(	PUNCT
ejpam-5725	173	37	æ	æ	NOUN
ejpam-5725	173	38	)	)	PUNCT
ejpam-5725	174	1	+	+	CCONJ
ejpam-5725	174	2	§	§	PROPN
ejpam-5725	174	3	(	(	PUNCT
ejpam-5725	174	4	æ	æ	PROPN
ejpam-5725	174	5	+	+	NUM
ejpam-5725	174	6	ζ	ζ	X
ejpam-5725	174	7	(	(	PUNCT
ejpam-5725	174	8	̊s	̊s	PROPN
ejpam-5725	174	9	,	,	PUNCT
ejpam-5725	174	10	æ	æ	NOUN
ejpam-5725	174	11	)	)	PUNCT
ejpam-5725	174	12	)	)	PUNCT
ejpam-5725	174	13	2	2	NUM
ejpam-5725	174	14	jαβ	jαβ	NOUN
ejpam-5725	174	15	,	,	PUNCT
ejpam-5725	174	16	γ(ω	γ(ω	PROPN
ejpam-5725	174	17	;	;	PUNCT
ejpam-5725	174	18	p)−	p)−	NOUN
ejpam-5725	174	19	1	1	NUM
ejpam-5725	174	20	2ζ	2ζ	NUM
ejpam-5725	174	21	(	(	PUNCT
ejpam-5725	174	22	̊s	̊s	ADJ
ejpam-5725	174	23	,	,	PUNCT
ejpam-5725	174	24	æ)β−1	æ)β−1	ADP
ejpam-5725	174	25	×	×	NOUN
ejpam-5725	175	1	[	[	X
ejpam-5725	175	2	(	(	PUNCT
ejpam-5725	175	3	jæ	jæ	NOUN
ejpam-5725	175	4	+	+	PROPN
ejpam-5725	175	5	æ+ζ	æ+ζ	NUM
ejpam-5725	175	6	(	(	PUNCT
ejpam-5725	175	7	̊s	̊s	ADV
ejpam-5725	175	8	,	,	PUNCT
ejpam-5725	175	9	æ),β−1	æ),β−1	PROPN
ejpam-5725	175	10	)	)	PUNCT
ejpam-5725	175	11	(	(	PUNCT
ejpam-5725	175	12	ω′	ω′	X
ejpam-5725	175	13	,	,	PUNCT
ejpam-5725	175	14	§	§	PROPN
ejpam-5725	175	15	)	)	PUNCT
ejpam-5725	176	1	+	+	CCONJ
ejpam-5725	176	2	(	(	PUNCT
ejpam-5725	176	3	j	j	X
ejpam-5725	176	4	(	(	PUNCT
ejpam-5725	176	5	æ+ζ	æ+ζ	PUNCT
ejpam-5725	176	6	(	(	PUNCT
ejpam-5725	176	7	̊s	̊s	ADV
ejpam-5725	176	8	,	,	PUNCT
ejpam-5725	176	9	æ))−	æ))−	PROPN
ejpam-5725	176	10	æ	æ	PROPN
ejpam-5725	176	11	,	,	PUNCT
ejpam-5725	176	12	β−1	β−1	PUNCT
ejpam-5725	176	13	)	)	PUNCT
ejpam-5725	176	14	(	(	PUNCT
ejpam-5725	176	15	ω′	ω′	X
ejpam-5725	176	16	,	,	PUNCT
ejpam-5725	176	17	§	§	PROPN
ejpam-5725	176	18	)	)	PUNCT
ejpam-5725	176	19	]	]	PUNCT
ejpam-5725	176	20	≤	≤	NUM
ejpam-5725	176	21	ζ	ζ	NOUN
ejpam-5725	176	22	(	(	PUNCT
ejpam-5725	176	23	̊s	̊s	PROPN
ejpam-5725	176	24	,	,	PUNCT
ejpam-5725	176	25	æ	æ	NOUN
ejpam-5725	176	26	)	)	PUNCT
ejpam-5725	176	27	2	2	NUM
ejpam-5725	176	28	(	(	PUNCT
ejpam-5725	176	29	∣∣§′(æ)∣∣+	∣∣§′(æ)∣∣+	PROPN
ejpam-5725	176	30	∣∣§′(̊s)∣∣	∣∣§′(̊s)∣∣	ADV
ejpam-5725	176	31	)	)	PUNCT
ejpam-5725	176	32	∫	∫	PROPN
ejpam-5725	176	33	1	1	NUM
ejpam-5725	176	34	0	0	NUM
ejpam-5725	177	1	+	+	ADJ
ejpam-5725	177	2	∞∑	∞∑	NUM
ejpam-5725	177	3	n=0	n=0	NUM
ejpam-5725	177	4	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5725	177	5	(	(	PUNCT
ejpam-5725	177	6	γ)n	γ)n	X
ejpam-5725	177	7	γ(βn+	γ(βn+	ADJ
ejpam-5725	177	8	α	α	X
ejpam-5725	177	9	)	)	PUNCT
ejpam-5725	177	10	wn	wn	PROPN
ejpam-5725	177	11	n	n	X
ejpam-5725	177	12	!	!	PUNCT
ejpam-5725	178	1	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5725	178	2	×	×	PROPN
ejpam-5725	178	3	∣∣∣∣(1−	∣∣∣∣(1−	NOUN
ejpam-5725	178	4	to	to	ADP
ejpam-5725	178	5	)	)	PUNCT
ejpam-5725	178	6	β+αn−1	β+αn−1	PROPN
ejpam-5725	178	7	−	−	PROPN
ejpam-5725	179	1	(	(	PUNCT
ejpam-5725	179	2	to	to	PART
ejpam-5725	179	3	)	)	PUNCT
ejpam-5725	179	4	β+αn−1	β+αn−1	PROPN
ejpam-5725	180	1	h(to	h(to	NOUN
ejpam-5725	180	2	)	)	PUNCT
ejpam-5725	180	3	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5725	180	4	dto	dto	NOUN
ejpam-5725	180	5	.	.	PUNCT
ejpam-5725	181	1	proof.∣∣∣∣	proof.∣∣∣∣	PROPN
ejpam-5725	181	2	§	§	PROPN
ejpam-5725	181	3	(	(	PUNCT
ejpam-5725	181	4	æ	æ	NOUN
ejpam-5725	181	5	)	)	PUNCT
ejpam-5725	181	6	+	+	CCONJ
ejpam-5725	181	7	§	§	PROPN
ejpam-5725	181	8	(	(	PUNCT
ejpam-5725	181	9	æ	æ	PROPN
ejpam-5725	181	10	+	+	NUM
ejpam-5725	181	11	ζ	ζ	X
ejpam-5725	181	12	(	(	PUNCT
ejpam-5725	181	13	̊s	̊s	PROPN
ejpam-5725	181	14	,	,	PUNCT
ejpam-5725	181	15	æ	æ	NOUN
ejpam-5725	181	16	)	)	PUNCT
ejpam-5725	181	17	)	)	PUNCT
ejpam-5725	181	18	2	2	NUM
ejpam-5725	181	19	jαβ	jαβ	NOUN
ejpam-5725	181	20	,	,	PUNCT
ejpam-5725	181	21	γ(ω	γ(ω	PROPN
ejpam-5725	181	22	;	;	PUNCT
ejpam-5725	181	23	p)−	p)−	NOUN
ejpam-5725	181	24	1	1	NUM
ejpam-5725	181	25	2ζ	2ζ	NUM
ejpam-5725	181	26	(	(	PUNCT
ejpam-5725	181	27	̊s	̊s	ADJ
ejpam-5725	181	28	,	,	PUNCT
ejpam-5725	181	29	æ)β−1	æ)β−1	ADP
ejpam-5725	181	30	×	×	NOUN
ejpam-5725	182	1	[	[	X
ejpam-5725	182	2	(	(	PUNCT
ejpam-5725	182	3	ℑæ+	ℑæ+	PROPN
ejpam-5725	182	4	æ+ζ	æ+ζ	PUNCT
ejpam-5725	182	5	(	(	PUNCT
ejpam-5725	182	6	̊s	̊s	ADV
ejpam-5725	182	7	,	,	PUNCT
ejpam-5725	182	8	æ),β−1	æ),β−1	PROPN
ejpam-5725	182	9	)	)	PUNCT
ejpam-5725	182	10	(	(	PUNCT
ejpam-5725	182	11	ω′	ω′	X
ejpam-5725	182	12	,	,	PUNCT
ejpam-5725	182	13	§	§	PROPN
ejpam-5725	182	14	)	)	PUNCT
ejpam-5725	182	15	+	+	CCONJ
ejpam-5725	182	16	(	(	PUNCT
ejpam-5725	182	17	ℑ(æ+ζ	ℑ(æ+ζ	INTJ
ejpam-5725	182	18	(	(	PUNCT
ejpam-5725	182	19	̊s	̊s	ADV
ejpam-5725	182	20	,	,	PUNCT
ejpam-5725	182	21	æ))−	æ))−	PROPN
ejpam-5725	182	22	æ	æ	PROPN
ejpam-5725	182	23	,	,	PUNCT
ejpam-5725	182	24	β−1	β−1	PUNCT
ejpam-5725	182	25	)	)	PUNCT
ejpam-5725	182	26	(	(	PUNCT
ejpam-5725	182	27	ω′	ω′	X
ejpam-5725	182	28	,	,	PUNCT
ejpam-5725	182	29	§	§	PROPN
ejpam-5725	182	30	)	)	PUNCT
ejpam-5725	182	31	]	]	PUNCT
ejpam-5725	183	1	|	|	ADV
ejpam-5725	183	2	r.	r.	PROPN
ejpam-5725	183	3	s.	s.	PROPN
ejpam-5725	183	4	ali	ali	PROPN
ejpam-5725	183	5	et	et	PROPN
ejpam-5725	183	6	al	al	PROPN
ejpam-5725	183	7	.	.	PUNCT
ejpam-5725	183	8	/	/	SYM
ejpam-5725	183	9	eur	eur	PROPN
ejpam-5725	183	10	.	.	PUNCT
ejpam-5725	184	1	j.	j.	PROPN
ejpam-5725	184	2	pure	pure	PROPN
ejpam-5725	184	3	appl	appl	PROPN
ejpam-5725	184	4	.	.	PROPN
ejpam-5725	184	5	math	math	PROPN
ejpam-5725	184	6	,	,	PUNCT
ejpam-5725	184	7	18	18	NUM
ejpam-5725	184	8	(	(	PUNCT
ejpam-5725	184	9	1	1	NUM
ejpam-5725	184	10	)	)	PUNCT
ejpam-5725	184	11	(	(	PUNCT
ejpam-5725	184	12	2025	2025	NUM
ejpam-5725	184	13	)	)	PUNCT
ejpam-5725	184	14	,	,	PUNCT
ejpam-5725	184	15	5725	5725	NUM
ejpam-5725	184	16	9	9	NUM
ejpam-5725	184	17	of	of	ADP
ejpam-5725	184	18	14	14	NUM
ejpam-5725	184	19	=	=	SYM
ejpam-5725	184	20	∣∣∣∣ζ	∣∣∣∣ζ	NOUN
ejpam-5725	184	21	(	(	PUNCT
ejpam-5725	184	22	̊s	̊s	ADV
ejpam-5725	184	23	,	,	PUNCT
ejpam-5725	184	24	æ)2	æ)2	NOUN
ejpam-5725	185	1	i	i	PRON
ejpam-5725	185	2	∣∣∣∣	∣∣∣∣	VERB
ejpam-5725	185	3	≤	≤	NUM
ejpam-5725	185	4	ζ	ζ	NOUN
ejpam-5725	185	5	(	(	PUNCT
ejpam-5725	185	6	̊s	̊s	PROPN
ejpam-5725	185	7	,	,	PUNCT
ejpam-5725	185	8	æ	æ	NOUN
ejpam-5725	185	9	)	)	PUNCT
ejpam-5725	185	10	2	2	NUM
ejpam-5725	186	1	+	+	ADP
ejpam-5725	186	2	∞∑	∞∑	NUM
ejpam-5725	186	3	n=0	n=0	NUM
ejpam-5725	186	4	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5725	186	5	(	(	PUNCT
ejpam-5725	186	6	γ)n	γ)n	X
ejpam-5725	186	7	γ(βn+	γ(βn+	ADJ
ejpam-5725	186	8	α	α	X
ejpam-5725	186	9	)	)	PUNCT
ejpam-5725	186	10	wn	wn	PROPN
ejpam-5725	186	11	n	n	X
ejpam-5725	186	12	!	!	PUNCT
ejpam-5725	187	1	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5725	187	2	∫	∫	PROPN
ejpam-5725	187	3	1	1	NUM
ejpam-5725	187	4	0	0	X
ejpam-5725	187	5	∣∣∣(1−	∣∣∣(1−	PROPN
ejpam-5725	187	6	to	to	ADP
ejpam-5725	187	7	)	)	PUNCT
ejpam-5725	187	8	β+αn−1	β+αn−1	PROPN
ejpam-5725	188	1	−	−	PROPN
ejpam-5725	188	2	(	(	PUNCT
ejpam-5725	188	3	to	to	PART
ejpam-5725	188	4	)	)	PUNCT
ejpam-5725	188	5	β+αn−1	β+αn−1	PROPN
ejpam-5725	188	6	∣∣∣	∣∣∣	PROPN
ejpam-5725	188	7	∣∣§′(æ	∣∣§′(æ	PROPN
ejpam-5725	188	8	+	+	CCONJ
ejpam-5725	188	9	toζ	toζ	NOUN
ejpam-5725	188	10	(	(	PUNCT
ejpam-5725	188	11	̊s	̊s	PROPN
ejpam-5725	188	12	,	,	PUNCT
ejpam-5725	188	13	æ	æ	NOUN
ejpam-5725	188	14	)	)	PUNCT
ejpam-5725	188	15	)	)	PUNCT
ejpam-5725	189	1	∣∣dto	∣∣dto	PROPN
ejpam-5725	189	2	≤	≤	ADJ
ejpam-5725	189	3	ζ	ζ	NOUN
ejpam-5725	189	4	(	(	PUNCT
ejpam-5725	189	5	̊s	̊s	PROPN
ejpam-5725	189	6	,	,	PUNCT
ejpam-5725	189	7	æ	æ	NOUN
ejpam-5725	189	8	)	)	PUNCT
ejpam-5725	189	9	2	2	NUM
ejpam-5725	190	1	+	+	ADP
ejpam-5725	190	2	∞∑	∞∑	NUM
ejpam-5725	190	3	n=0	n=0	NUM
ejpam-5725	190	4	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5725	190	5	(	(	PUNCT
ejpam-5725	190	6	γ)n	γ)n	X
ejpam-5725	190	7	γ(βn+	γ(βn+	ADJ
ejpam-5725	190	8	α	α	X
ejpam-5725	190	9	)	)	PUNCT
ejpam-5725	190	10	wn	wn	PROPN
ejpam-5725	190	11	n	n	X
ejpam-5725	190	12	!	!	PUNCT
ejpam-5725	191	1	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5725	191	2	×	×	PROPN
ejpam-5725	191	3	∫	∫	PROPN
ejpam-5725	191	4	1	1	NUM
ejpam-5725	191	5	0	0	X
ejpam-5725	191	6	∣∣∣(1−	∣∣∣(1−	PROPN
ejpam-5725	191	7	to	to	ADP
ejpam-5725	191	8	)	)	PUNCT
ejpam-5725	191	9	β+αn−1	β+αn−1	PROPN
ejpam-5725	192	1	−	−	PROPN
ejpam-5725	192	2	(	(	PUNCT
ejpam-5725	192	3	to	to	PART
ejpam-5725	192	4	)	)	PUNCT
ejpam-5725	192	5	β+αn−1	β+αn−1	PROPN
ejpam-5725	192	6	∣∣∣	∣∣∣	NOUN
ejpam-5725	192	7	∣∣∣∣§′(æ)h(to	∣∣∣∣§′(æ)h(to	NOUN
ejpam-5725	192	8	)	)	PUNCT
ejpam-5725	192	9	+	+	CCONJ
ejpam-5725	192	10	§	§	NOUN
ejpam-5725	192	11	′(̊s	′(̊s	NUM
ejpam-5725	192	12	)	)	PUNCT
ejpam-5725	192	13	h(1−	h(1−	NOUN
ejpam-5725	192	14	to	to	PART
ejpam-5725	192	15	)	)	PUNCT
ejpam-5725	192	16	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5725	192	17	dto	dto	ADJ
ejpam-5725	192	18	≤	≤	NOUN
ejpam-5725	192	19	ζ	ζ	NOUN
ejpam-5725	192	20	(	(	PUNCT
ejpam-5725	192	21	̊s	̊s	PROPN
ejpam-5725	192	22	,	,	PUNCT
ejpam-5725	192	23	æ	æ	NOUN
ejpam-5725	192	24	)	)	PUNCT
ejpam-5725	192	25	2	2	NUM
ejpam-5725	193	1	+	+	ADP
ejpam-5725	193	2	∞∑	∞∑	NUM
ejpam-5725	193	3	n=0	n=0	NUM
ejpam-5725	193	4	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5725	193	5	(	(	PUNCT
ejpam-5725	193	6	γ)n	γ)n	X
ejpam-5725	193	7	γ(βn+	γ(βn+	ADJ
ejpam-5725	193	8	α	α	X
ejpam-5725	193	9	)	)	PUNCT
ejpam-5725	193	10	wn	wn	PROPN
ejpam-5725	193	11	n	n	X
ejpam-5725	193	12	!	!	PUNCT
ejpam-5725	194	1	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5725	194	2	×	×	NOUN
ejpam-5725	195	1	[	[	X
ejpam-5725	195	2	∣∣§′(æ)∣∣	∣∣§′(æ)∣∣	NUM
ejpam-5725	195	3	∫	∫	PROPN
ejpam-5725	195	4	1	1	NUM
ejpam-5725	195	5	0	0	NUM
ejpam-5725	195	6	∣∣∣(1−	∣∣∣(1−	PROPN
ejpam-5725	195	7	to	to	ADP
ejpam-5725	195	8	)	)	PUNCT
ejpam-5725	195	9	β+αn−1	β+αn−1	PROPN
ejpam-5725	195	10	−	−	PROPN
ejpam-5725	195	11	(	(	PUNCT
ejpam-5725	195	12	to	to	PART
ejpam-5725	195	13	)	)	PUNCT
ejpam-5725	195	14	β+αn−1	β+αn−1	PROPN
ejpam-5725	195	15	∣∣∣	∣∣∣	ADJ
ejpam-5725	195	16	1	1	NUM
ejpam-5725	195	17	h(to	h(to	NOUN
ejpam-5725	195	18	)	)	PUNCT
ejpam-5725	195	19	dto	dto	PROPN
ejpam-5725	195	20	+	+	CCONJ
ejpam-5725	195	21	|§′(̊s	|§′(̊s	PROPN
ejpam-5725	195	22	)	)	PUNCT
ejpam-5725	195	23	∣∣∣∣∫	∣∣∣∣∫	NOUN
ejpam-5725	195	24	1	1	NUM
ejpam-5725	195	25	0	0	X
ejpam-5725	195	26	∣∣∣(1−	∣∣∣(1−	PROPN
ejpam-5725	195	27	to	to	ADP
ejpam-5725	195	28	)	)	PUNCT
ejpam-5725	195	29	β+αn−1	β+αn−1	PROPN
ejpam-5725	196	1	−	−	PROPN
ejpam-5725	196	2	(	(	PUNCT
ejpam-5725	196	3	to	to	PART
ejpam-5725	196	4	)	)	PUNCT
ejpam-5725	196	5	β+αn−1	β+αn−1	PROPN
ejpam-5725	196	6	∣∣∣	∣∣∣	ADJ
ejpam-5725	196	7	1	1	NUM
ejpam-5725	196	8	h(1−	h(1−	NOUN
ejpam-5725	196	9	to	to	PART
ejpam-5725	196	10	)	)	PUNCT
ejpam-5725	196	11	dto	dto	NOUN
ejpam-5725	196	12	=	=	SYM
ejpam-5725	196	13	ζ	ζ	NOUN
ejpam-5725	196	14	(	(	PUNCT
ejpam-5725	196	15	̊s	̊s	PROPN
ejpam-5725	196	16	,	,	PUNCT
ejpam-5725	196	17	æ	æ	NOUN
ejpam-5725	196	18	)	)	PUNCT
ejpam-5725	196	19	2	2	NUM
ejpam-5725	196	20	(	(	PUNCT
ejpam-5725	196	21	∣∣§′(æ)∣∣+	∣∣§′(æ)∣∣+	PROPN
ejpam-5725	196	22	∣∣§′(̊s)∣∣	∣∣§′(̊s)∣∣	ADV
ejpam-5725	196	23	)	)	PUNCT
ejpam-5725	196	24	∫	∫	PROPN
ejpam-5725	196	25	1	1	NUM
ejpam-5725	196	26	0	0	NUM
ejpam-5725	197	1	+	+	ADJ
ejpam-5725	197	2	∞∑	∞∑	NUM
ejpam-5725	197	3	n=0	n=0	NUM
ejpam-5725	197	4	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5725	197	5	(	(	PUNCT
ejpam-5725	197	6	γ)n	γ)n	X
ejpam-5725	197	7	γ(βn+	γ(βn+	ADJ
ejpam-5725	197	8	α	α	X
ejpam-5725	197	9	)	)	PUNCT
ejpam-5725	197	10	wn	wn	PROPN
ejpam-5725	197	11	n	n	X
ejpam-5725	197	12	!	!	PUNCT
ejpam-5725	198	1	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5725	198	2	×	×	PROPN
ejpam-5725	198	3	∣∣∣∣(1−	∣∣∣∣(1−	NOUN
ejpam-5725	198	4	to	to	ADP
ejpam-5725	198	5	)	)	PUNCT
ejpam-5725	198	6	β+αn−1	β+αn−1	PROPN
ejpam-5725	198	7	−	−	PROPN
ejpam-5725	199	1	(	(	PUNCT
ejpam-5725	199	2	to	to	PART
ejpam-5725	199	3	)	)	PUNCT
ejpam-5725	199	4	β+αn−1	β+αn−1	PROPN
ejpam-5725	200	1	h(to	h(to	NOUN
ejpam-5725	200	2	)	)	PUNCT
ejpam-5725	200	3	∣∣∣∣dto	∣∣∣∣dto	PROPN
ejpam-5725	200	4	.	.	PUNCT
ejpam-5725	201	1	corollary	corollary	ADJ
ejpam-5725	201	2	6	6	NUM
ejpam-5725	201	3	.	.	PUNCT
ejpam-5725	202	1	taking	take	VERB
ejpam-5725	202	2	ζ	ζ	NOUN
ejpam-5725	202	3	(	(	PUNCT
ejpam-5725	202	4	̊s	̊s	PROPN
ejpam-5725	202	5	,	,	PUNCT
ejpam-5725	202	6	æ	æ	NOUN
ejpam-5725	202	7	)	)	PUNCT
ejpam-5725	202	8	=	=	SYM
ejpam-5725	202	9	s̊−æ	s̊−æ	PUNCT
ejpam-5725	202	10	in	in	ADP
ejpam-5725	202	11	theorem	theorem	NOUN
ejpam-5725	202	12	(	(	PUNCT
ejpam-5725	202	13	2	2	NUM
ejpam-5725	202	14	)	)	PUNCT
ejpam-5725	202	15	,	,	PUNCT
ejpam-5725	202	16	we	we	PRON
ejpam-5725	202	17	derive	derive	VERB
ejpam-5725	202	18	the	the	DET
ejpam-5725	202	19	following	follow	VERB
ejpam-5725	202	20	inequality	inequality	NOUN
ejpam-5725	202	21	:	:	PUNCT
ejpam-5725	202	22	§	§	PROPN
ejpam-5725	202	23	(	(	PUNCT
ejpam-5725	202	24	æ	æ	NOUN
ejpam-5725	202	25	)	)	PUNCT
ejpam-5725	202	26	+	+	CCONJ
ejpam-5725	203	1	§	§	PROPN
ejpam-5725	203	2	(	(	PUNCT
ejpam-5725	203	3	̊s	̊s	NOUN
ejpam-5725	203	4	)	)	PUNCT
ejpam-5725	203	5	2	2	NUM
ejpam-5725	203	6	jαβ	jαβ	NOUN
ejpam-5725	203	7	,	,	PUNCT
ejpam-5725	203	8	γ(ω	γ(ω	PROPN
ejpam-5725	203	9	;	;	PUNCT
ejpam-5725	203	10	p)−	p)−	NOUN
ejpam-5725	203	11	1	1	NUM
ejpam-5725	203	12	2(̊s−	2(̊s−	NUM
ejpam-5725	203	13	æ)β−1	æ)β−1	ADP
ejpam-5725	203	14	×	×	NOUN
ejpam-5725	204	1	[	[	X
ejpam-5725	204	2	(	(	PUNCT
ejpam-5725	204	3	jæ	jæ	NOUN
ejpam-5725	204	4	+	+	PROPN
ejpam-5725	204	5	æ+ζ	æ+ζ	NUM
ejpam-5725	204	6	(	(	PUNCT
ejpam-5725	204	7	̊s	̊s	ADV
ejpam-5725	204	8	,	,	PUNCT
ejpam-5725	204	9	æ),β−1	æ),β−1	PROPN
ejpam-5725	204	10	)	)	PUNCT
ejpam-5725	204	11	(	(	PUNCT
ejpam-5725	204	12	ω′	ω′	X
ejpam-5725	204	13	,	,	PUNCT
ejpam-5725	204	14	§	§	PROPN
ejpam-5725	204	15	)	)	PUNCT
ejpam-5725	205	1	+	+	CCONJ
ejpam-5725	205	2	(	(	PUNCT
ejpam-5725	205	3	j	j	X
ejpam-5725	205	4	(	(	PUNCT
ejpam-5725	205	5	æ+ζ	æ+ζ	PUNCT
ejpam-5725	205	6	(	(	PUNCT
ejpam-5725	205	7	̊s	̊s	ADV
ejpam-5725	205	8	,	,	PUNCT
ejpam-5725	205	9	æ))−	æ))−	PROPN
ejpam-5725	205	10	æ	æ	PROPN
ejpam-5725	205	11	,	,	PUNCT
ejpam-5725	205	12	β−1	β−1	PUNCT
ejpam-5725	205	13	)	)	PUNCT
ejpam-5725	205	14	(	(	PUNCT
ejpam-5725	205	15	ω′	ω′	X
ejpam-5725	205	16	,	,	PUNCT
ejpam-5725	205	17	§	§	PROPN
ejpam-5725	205	18	)	)	PUNCT
ejpam-5725	205	19	]	]	PUNCT
ejpam-5725	205	20	≤	≤	NUM
ejpam-5725	205	21	(	(	PUNCT
ejpam-5725	205	22	̊s−	̊s−	PROPN
ejpam-5725	205	23	æ	æ	PROPN
ejpam-5725	205	24	)	)	PUNCT
ejpam-5725	205	25	2	2	NUM
ejpam-5725	205	26	(	(	PUNCT
ejpam-5725	205	27	∣∣§′(æ)∣∣+	∣∣§′(æ)∣∣+	PROPN
ejpam-5725	205	28	∣∣§′(̊s)∣∣	∣∣§′(̊s)∣∣	ADV
ejpam-5725	205	29	)	)	PUNCT
ejpam-5725	205	30	∫	∫	PROPN
ejpam-5725	205	31	1	1	NUM
ejpam-5725	205	32	0	0	NUM
ejpam-5725	206	1	+	+	ADJ
ejpam-5725	206	2	∞∑	∞∑	NUM
ejpam-5725	206	3	n=0	n=0	NUM
ejpam-5725	206	4	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5725	206	5	(	(	PUNCT
ejpam-5725	206	6	γ)n	γ)n	X
ejpam-5725	206	7	γ(βn+	γ(βn+	ADJ
ejpam-5725	206	8	α	α	X
ejpam-5725	206	9	)	)	PUNCT
ejpam-5725	206	10	wn	wn	PROPN
ejpam-5725	206	11	n	n	X
ejpam-5725	206	12	!	!	PUNCT
ejpam-5725	207	1	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5725	207	2	×	×	PROPN
ejpam-5725	207	3	∣∣∣∣(1−	∣∣∣∣(1−	NOUN
ejpam-5725	207	4	to	to	ADP
ejpam-5725	207	5	)	)	PUNCT
ejpam-5725	207	6	β+αn−1	β+αn−1	PROPN
ejpam-5725	207	7	−	−	PROPN
ejpam-5725	208	1	(	(	PUNCT
ejpam-5725	208	2	to	to	PART
ejpam-5725	208	3	)	)	PUNCT
ejpam-5725	208	4	β+αn−1	β+αn−1	PROPN
ejpam-5725	209	1	h(to	h(to	NOUN
ejpam-5725	209	2	)	)	PUNCT
ejpam-5725	209	3	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5725	209	4	dto	dto	PROPN
ejpam-5725	209	5	.	.	PUNCT
ejpam-5725	209	6	theorem	theorem	NOUN
ejpam-5725	209	7	3	3	X
ejpam-5725	209	8	.	.	PUNCT
ejpam-5725	209	9	consider	consider	VERB
ejpam-5725	209	10	the	the	DET
ejpam-5725	209	11	function	function	NOUN
ejpam-5725	209	12	§	§	PROPN
ejpam-5725	209	13	:	:	PUNCT
ejpam-5725	209	14	i	i	PRON
ejpam-5725	209	15	=	=	PUNCT
ejpam-5725	210	1	[	[	X
ejpam-5725	210	2	æ	æ	X
ejpam-5725	210	3	,	,	PUNCT
ejpam-5725	210	4	æ+ζ	æ+ζ	PROPN
ejpam-5725	210	5	(	(	PUNCT
ejpam-5725	210	6	̊s	̊s	PROPN
ejpam-5725	210	7	,	,	PUNCT
ejpam-5725	210	8	æ	æ	NOUN
ejpam-5725	210	9	)	)	PUNCT
ejpam-5725	210	10	]	]	X
ejpam-5725	210	11	−→	−→	NOUN
ejpam-5725	210	12	(	(	PUNCT
ejpam-5725	210	13	0,+∞	0,+∞	NUM
ejpam-5725	210	14	)	)	PUNCT
ejpam-5725	210	15	,	,	PUNCT
ejpam-5725	210	16	where	where	SCONJ
ejpam-5725	210	17	i	i	PRON
ejpam-5725	210	18	∈	∈	VERB
ejpam-5725	210	19	r	r	NOUN
ejpam-5725	210	20	,	,	PUNCT
ejpam-5725	210	21	and	and	CCONJ
ejpam-5725	210	22	assume	assume	VERB
ejpam-5725	210	23	it	it	PRON
ejpam-5725	210	24	is	be	AUX
ejpam-5725	210	25	differentiable	differentiable	ADJ
ejpam-5725	210	26	on	on	ADP
ejpam-5725	210	27	i.	i.	PROPN
ejpam-5725	210	28	additionally	additionally	ADV
ejpam-5725	210	29	,	,	PUNCT
ejpam-5725	210	30	let	let	VERB
ejpam-5725	210	31	|§′|q	|§′|q	NOUN
ejpam-5725	210	32	be	be	AUX
ejpam-5725	210	33	an	an	DET
ejpam-5725	210	34	h	h	NOUN
ejpam-5725	210	35	-	-	PUNCT
ejpam-5725	210	36	godunova	godunova	ADJ
ejpam-5725	210	37	-	-	PUNCT
ejpam-5725	210	38	levin	levin	PROPN
ejpam-5725	210	39	preinvex	preinvex	PROPN
ejpam-5725	210	40	function	function	NOUN
ejpam-5725	210	41	on	on	ADP
ejpam-5725	210	42	i	i	PRON
ejpam-5725	210	43	,	,	PUNCT
ejpam-5725	210	44	with	with	ADP
ejpam-5725	210	45	p	p	PROPN
ejpam-5725	210	46	>	>	X
ejpam-5725	210	47	1	1	NUM
ejpam-5725	210	48	and	and	CCONJ
ejpam-5725	210	49	q	q	NOUN
ejpam-5725	210	50	=	=	SYM
ejpam-5725	210	51	p	p	PROPN
ejpam-5725	210	52	p−1	p−1	PROPN
ejpam-5725	210	53	;	;	PUNCT
ejpam-5725	211	1	then.∣∣∣∣	then.∣∣∣∣	PROPN
ejpam-5725	211	2	§	§	PROPN
ejpam-5725	211	3	(	(	PUNCT
ejpam-5725	211	4	æ	æ	NOUN
ejpam-5725	211	5	)	)	PUNCT
ejpam-5725	211	6	+	+	CCONJ
ejpam-5725	211	7	§	§	PROPN
ejpam-5725	211	8	(	(	PUNCT
ejpam-5725	211	9	æ	æ	PROPN
ejpam-5725	211	10	+	+	NUM
ejpam-5725	211	11	ζ	ζ	X
ejpam-5725	211	12	(	(	PUNCT
ejpam-5725	211	13	̊s	̊s	PROPN
ejpam-5725	211	14	,	,	PUNCT
ejpam-5725	211	15	æ	æ	NOUN
ejpam-5725	211	16	)	)	PUNCT
ejpam-5725	211	17	)	)	PUNCT
ejpam-5725	211	18	2	2	NUM
ejpam-5725	211	19	jαβ	jαβ	NOUN
ejpam-5725	211	20	,	,	PUNCT
ejpam-5725	211	21	γ(ω	γ(ω	PROPN
ejpam-5725	211	22	;	;	PUNCT
ejpam-5725	211	23	p)−	p)−	NOUN
ejpam-5725	211	24	1	1	NUM
ejpam-5725	211	25	2ζ	2ζ	NUM
ejpam-5725	211	26	(	(	PUNCT
ejpam-5725	211	27	̊s	̊s	ADJ
ejpam-5725	211	28	,	,	PUNCT
ejpam-5725	211	29	æ)β−1	æ)β−1	ADP
ejpam-5725	211	30	×	×	NOUN
ejpam-5725	211	31	[	[	X
ejpam-5725	211	32	(	(	PUNCT
ejpam-5725	211	33	ℑæ+	ℑæ+	PROPN
ejpam-5725	211	34	æ+ζ	æ+ζ	PUNCT
ejpam-5725	211	35	(	(	PUNCT
ejpam-5725	211	36	̊s	̊s	ADV
ejpam-5725	211	37	,	,	PUNCT
ejpam-5725	211	38	æ),β−1	æ),β−1	PROPN
ejpam-5725	211	39	)	)	PUNCT
ejpam-5725	211	40	(	(	PUNCT
ejpam-5725	211	41	ω′	ω′	X
ejpam-5725	211	42	,	,	PUNCT
ejpam-5725	211	43	§	§	PROPN
ejpam-5725	211	44	)	)	PUNCT
ejpam-5725	211	45	+	+	CCONJ
ejpam-5725	211	46	(	(	PUNCT
ejpam-5725	211	47	ℑ(æ+ζ	ℑ(æ+ζ	INTJ
ejpam-5725	211	48	(	(	PUNCT
ejpam-5725	211	49	̊s	̊s	ADV
ejpam-5725	211	50	,	,	PUNCT
ejpam-5725	211	51	æ))−	æ))−	PROPN
ejpam-5725	211	52	æ	æ	PROPN
ejpam-5725	211	53	,	,	PUNCT
ejpam-5725	211	54	β−1	β−1	PUNCT
ejpam-5725	211	55	)	)	PUNCT
ejpam-5725	211	56	(	(	PUNCT
ejpam-5725	211	57	ω′	ω′	X
ejpam-5725	211	58	,	,	PUNCT
ejpam-5725	211	59	§	§	PROPN
ejpam-5725	211	60	)	)	PUNCT
ejpam-5725	211	61	]	]	PUNCT
ejpam-5725	212	1	|	|	ADV
ejpam-5725	212	2	r.	r.	PROPN
ejpam-5725	212	3	s.	s.	PROPN
ejpam-5725	212	4	ali	ali	PROPN
ejpam-5725	212	5	et	et	PROPN
ejpam-5725	212	6	al	al	PROPN
ejpam-5725	212	7	.	.	PUNCT
ejpam-5725	212	8	/	/	SYM
ejpam-5725	212	9	eur	eur	PROPN
ejpam-5725	212	10	.	.	PUNCT
ejpam-5725	213	1	j.	j.	PROPN
ejpam-5725	213	2	pure	pure	PROPN
ejpam-5725	213	3	appl	appl	PROPN
ejpam-5725	213	4	.	.	PROPN
ejpam-5725	213	5	math	math	PROPN
ejpam-5725	213	6	,	,	PUNCT
ejpam-5725	213	7	18	18	NUM
ejpam-5725	213	8	(	(	PUNCT
ejpam-5725	213	9	1	1	NUM
ejpam-5725	213	10	)	)	PUNCT
ejpam-5725	213	11	(	(	PUNCT
ejpam-5725	213	12	2025	2025	NUM
ejpam-5725	213	13	)	)	PUNCT
ejpam-5725	213	14	,	,	PUNCT
ejpam-5725	213	15	5725	5725	NUM
ejpam-5725	213	16	10	10	NUM
ejpam-5725	213	17	of	of	ADP
ejpam-5725	213	18	14	14	NUM
ejpam-5725	213	19	≤	≤	NUM
ejpam-5725	213	20	ζ	ζ	NOUN
ejpam-5725	213	21	(	(	PUNCT
ejpam-5725	213	22	̊s	̊s	PROPN
ejpam-5725	213	23	,	,	PUNCT
ejpam-5725	213	24	æ	æ	NOUN
ejpam-5725	213	25	)	)	PUNCT
ejpam-5725	213	26	2	2	NUM
ejpam-5725	213	27	(	(	PUNCT
ejpam-5725	213	28	∣∣§′(æ)∣∣q	∣∣§′(æ)∣∣q	NOUN
ejpam-5725	213	29	+	+	CCONJ
ejpam-5725	213	30	∣∣§′(̊s)∣∣q)1	∣∣§′(̊s)∣∣q)1	NOUN
ejpam-5725	213	31	/	/	SYM
ejpam-5725	213	32	q	q	NOUN
ejpam-5725	213	33	×	×	NOUN
ejpam-5725	213	34	(	(	PUNCT
ejpam-5725	213	35	∫	∫	PROPN
ejpam-5725	213	36	1	1	NUM
ejpam-5725	213	37	0	0	X
ejpam-5725	213	38	∣∣∣(1−	∣∣∣(1−	PROPN
ejpam-5725	213	39	to	to	ADP
ejpam-5725	213	40	)	)	PUNCT
ejpam-5725	213	41	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	213	42	,	,	PUNCT
ejpam-5725	213	43	γ	γ	X
ejpam-5725	213	44	(	(	PUNCT
ejpam-5725	213	45	ω(1−	ω(1−	NOUN
ejpam-5725	213	46	to	to	ADP
ejpam-5725	213	47	)	)	PUNCT
ejpam-5725	214	1	α	α	PRON
ejpam-5725	214	2	;	;	PUNCT
ejpam-5725	214	3	p)−	p)−	NOUN
ejpam-5725	214	4	(	(	PUNCT
ejpam-5725	214	5	to	to	PART
ejpam-5725	214	6	)	)	PUNCT
ejpam-5725	214	7	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	214	8	,	,	PUNCT
ejpam-5725	214	9	γ	γ	X
ejpam-5725	214	10	(	(	PUNCT
ejpam-5725	214	11	ω(to	ω(to	NOUN
ejpam-5725	214	12	)	)	PUNCT
ejpam-5725	214	13	α	α	NOUN
ejpam-5725	214	14	;	;	PUNCT
ejpam-5725	214	15	p	p	X
ejpam-5725	214	16	)	)	PUNCT
ejpam-5725	214	17	∣∣∣p	∣∣∣p	NOUN
ejpam-5725	214	18	dto)1	dto)1	PROPN
ejpam-5725	214	19	/	/	SYM
ejpam-5725	214	20	p	p	PROPN
ejpam-5725	214	21	×	×	NOUN
ejpam-5725	214	22	(	(	PUNCT
ejpam-5725	214	23	∫	∫	PROPN
ejpam-5725	214	24	1	1	NUM
ejpam-5725	214	25	0	0	NUM
ejpam-5725	214	26	1	1	NUM
ejpam-5725	214	27	h(to	h(to	NOUN
ejpam-5725	214	28	)	)	PUNCT
ejpam-5725	214	29	dto	dto	NOUN
ejpam-5725	214	30	)	)	PUNCT
ejpam-5725	214	31	1	1	NUM
ejpam-5725	214	32	/	/	SYM
ejpam-5725	214	33	q	q	NOUN
ejpam-5725	214	34	.	.	PUNCT
ejpam-5725	215	1	proof	proof	NOUN
ejpam-5725	215	2	.	.	PUNCT
ejpam-5725	216	1	using	use	VERB
ejpam-5725	216	2	lemma	lemma	PROPN
ejpam-5725	216	3	1	1	NUM
ejpam-5725	216	4	,	,	PUNCT
ejpam-5725	216	5	we	we	PRON
ejpam-5725	216	6	have:∣∣∣∣	have:∣∣∣∣	PROPN
ejpam-5725	216	7	§	§	PROPN
ejpam-5725	216	8	(	(	PUNCT
ejpam-5725	216	9	æ	æ	NOUN
ejpam-5725	216	10	)	)	PUNCT
ejpam-5725	217	1	+	+	CCONJ
ejpam-5725	217	2	§	§	PROPN
ejpam-5725	217	3	(	(	PUNCT
ejpam-5725	217	4	æ	æ	PROPN
ejpam-5725	217	5	+	+	NUM
ejpam-5725	217	6	ζ	ζ	X
ejpam-5725	217	7	(	(	PUNCT
ejpam-5725	217	8	̊s	̊s	PROPN
ejpam-5725	217	9	,	,	PUNCT
ejpam-5725	217	10	æ	æ	NOUN
ejpam-5725	217	11	)	)	PUNCT
ejpam-5725	217	12	)	)	PUNCT
ejpam-5725	217	13	2	2	NUM
ejpam-5725	217	14	jαβ	jαβ	NOUN
ejpam-5725	217	15	,	,	PUNCT
ejpam-5725	217	16	γ(ω	γ(ω	PROPN
ejpam-5725	217	17	;	;	PUNCT
ejpam-5725	217	18	p)−	p)−	NOUN
ejpam-5725	217	19	1	1	NUM
ejpam-5725	217	20	2ζ	2ζ	NUM
ejpam-5725	217	21	(	(	PUNCT
ejpam-5725	217	22	̊s	̊s	ADJ
ejpam-5725	217	23	,	,	PUNCT
ejpam-5725	217	24	æ)β−1	æ)β−1	ADP
ejpam-5725	217	25	×	×	NOUN
ejpam-5725	217	26	[	[	X
ejpam-5725	217	27	(	(	PUNCT
ejpam-5725	217	28	ℑæ+	ℑæ+	PROPN
ejpam-5725	217	29	æ+ζ	æ+ζ	PUNCT
ejpam-5725	217	30	(	(	PUNCT
ejpam-5725	217	31	̊s	̊s	ADV
ejpam-5725	217	32	,	,	PUNCT
ejpam-5725	217	33	æ),β−1	æ),β−1	PROPN
ejpam-5725	217	34	)	)	PUNCT
ejpam-5725	217	35	(	(	PUNCT
ejpam-5725	217	36	ω′	ω′	X
ejpam-5725	217	37	,	,	PUNCT
ejpam-5725	217	38	§	§	PROPN
ejpam-5725	217	39	)	)	PUNCT
ejpam-5725	218	1	+	+	CCONJ
ejpam-5725	218	2	(	(	PUNCT
ejpam-5725	218	3	ℑ(æ+ζ	ℑ(æ+ζ	INTJ
ejpam-5725	218	4	(	(	PUNCT
ejpam-5725	218	5	̊s	̊s	ADV
ejpam-5725	218	6	,	,	PUNCT
ejpam-5725	218	7	æ))−	æ))−	PROPN
ejpam-5725	218	8	æ	æ	PROPN
ejpam-5725	218	9	,	,	PUNCT
ejpam-5725	218	10	β−1	β−1	PUNCT
ejpam-5725	218	11	)	)	PUNCT
ejpam-5725	218	12	(	(	PUNCT
ejpam-5725	218	13	ω′	ω′	X
ejpam-5725	218	14	,	,	PUNCT
ejpam-5725	218	15	§	§	PROPN
ejpam-5725	218	16	)	)	PUNCT
ejpam-5725	218	17	]	]	PUNCT
ejpam-5725	219	1	|	|	ADV
ejpam-5725	219	2	=	=	SYM
ejpam-5725	219	3	∣∣∣∣ζ	∣∣∣∣ζ	NOUN
ejpam-5725	219	4	(	(	PUNCT
ejpam-5725	219	5	̊s	̊s	ADV
ejpam-5725	219	6	,	,	PUNCT
ejpam-5725	219	7	æ)2	æ)2	NOUN
ejpam-5725	219	8	i	i	PRON
ejpam-5725	219	9	∣∣∣∣	∣∣∣∣	VERB
ejpam-5725	219	10	≤	≤	NUM
ejpam-5725	219	11	ζ	ζ	NOUN
ejpam-5725	219	12	(	(	PUNCT
ejpam-5725	219	13	̊s	̊s	PROPN
ejpam-5725	219	14	,	,	PUNCT
ejpam-5725	219	15	æ	æ	NOUN
ejpam-5725	219	16	)	)	PUNCT
ejpam-5725	219	17	2	2	NUM
ejpam-5725	219	18	∫	∫	NOUN
ejpam-5725	219	19	1	1	NUM
ejpam-5725	219	20	0	0	NUM
ejpam-5725	219	21	∣∣∣(1−	∣∣∣(1−	PROPN
ejpam-5725	219	22	to	to	ADP
ejpam-5725	219	23	)	)	PUNCT
ejpam-5725	219	24	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	219	25	,	,	PUNCT
ejpam-5725	219	26	γ	γ	X
ejpam-5725	219	27	(	(	PUNCT
ejpam-5725	219	28	ω(1−	ω(1−	NOUN
ejpam-5725	219	29	to	to	ADP
ejpam-5725	219	30	)	)	PUNCT
ejpam-5725	220	1	α	α	PRON
ejpam-5725	220	2	;	;	PUNCT
ejpam-5725	220	3	p)−	p)−	NOUN
ejpam-5725	220	4	(	(	PUNCT
ejpam-5725	220	5	to	to	PART
ejpam-5725	220	6	)	)	PUNCT
ejpam-5725	220	7	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	220	8	,	,	PUNCT
ejpam-5725	220	9	γ	γ	X
ejpam-5725	220	10	(	(	PUNCT
ejpam-5725	220	11	ω(to	ω(to	NOUN
ejpam-5725	220	12	)	)	PUNCT
ejpam-5725	220	13	α	α	NOUN
ejpam-5725	220	14	;	;	PUNCT
ejpam-5725	220	15	p	p	X
ejpam-5725	220	16	)	)	PUNCT
ejpam-5725	220	17	∣∣∣	∣∣∣	ADJ
ejpam-5725	220	18	×	×	PROPN
ejpam-5725	220	19	∣∣§′(æ	∣∣§′(æ	PROPN
ejpam-5725	221	1	+	+	CCONJ
ejpam-5725	222	1	toζ	toζ	NOUN
ejpam-5725	222	2	(	(	PUNCT
ejpam-5725	222	3	̊s	̊s	PROPN
ejpam-5725	222	4	,	,	PUNCT
ejpam-5725	222	5	æ	æ	NOUN
ejpam-5725	222	6	)	)	PUNCT
ejpam-5725	222	7	)	)	PUNCT
ejpam-5725	223	1	∣∣dto	∣∣dto	PROPN
ejpam-5725	223	2	.	.	NOUN
ejpam-5725	223	3	using	use	VERB
ejpam-5725	223	4	holder	holder	NOUN
ejpam-5725	223	5	integral	integral	ADJ
ejpam-5725	223	6	inequality	inequality	NOUN
ejpam-5725	223	7	,	,	PUNCT
ejpam-5725	223	8	we	we	PRON
ejpam-5725	223	9	have	have	VERB
ejpam-5725	223	10	≤	≤	ADJ
ejpam-5725	223	11	ζ	ζ	NOUN
ejpam-5725	223	12	(	(	PUNCT
ejpam-5725	223	13	̊s	̊s	PROPN
ejpam-5725	223	14	,	,	PUNCT
ejpam-5725	223	15	æ	æ	NOUN
ejpam-5725	223	16	)	)	PUNCT
ejpam-5725	223	17	2	2	NUM
ejpam-5725	223	18	(	(	PUNCT
ejpam-5725	223	19	∫	∫	PROPN
ejpam-5725	223	20	1	1	NUM
ejpam-5725	223	21	0	0	X
ejpam-5725	223	22	∣∣∣(1−	∣∣∣(1−	PROPN
ejpam-5725	223	23	to	to	ADP
ejpam-5725	223	24	)	)	PUNCT
ejpam-5725	223	25	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	223	26	,	,	PUNCT
ejpam-5725	223	27	γ	γ	X
ejpam-5725	223	28	(	(	PUNCT
ejpam-5725	223	29	ω(1−	ω(1−	NOUN
ejpam-5725	223	30	to	to	ADP
ejpam-5725	223	31	)	)	PUNCT
ejpam-5725	224	1	α	α	PRON
ejpam-5725	224	2	;	;	PUNCT
ejpam-5725	224	3	p)−	p)−	NOUN
ejpam-5725	224	4	(	(	PUNCT
ejpam-5725	224	5	to	to	PART
ejpam-5725	224	6	)	)	PUNCT
ejpam-5725	224	7	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	224	8	,	,	PUNCT
ejpam-5725	224	9	γ	γ	X
ejpam-5725	224	10	(	(	PUNCT
ejpam-5725	224	11	ω(to	ω(to	NOUN
ejpam-5725	224	12	)	)	PUNCT
ejpam-5725	224	13	α	α	NOUN
ejpam-5725	224	14	;	;	PUNCT
ejpam-5725	224	15	p	p	X
ejpam-5725	224	16	)	)	PUNCT
ejpam-5725	224	17	∣∣∣p	∣∣∣p	NOUN
ejpam-5725	224	18	dto)1	dto)1	PROPN
ejpam-5725	224	19	/	/	SYM
ejpam-5725	224	20	p	p	PROPN
ejpam-5725	224	21	×	×	NOUN
ejpam-5725	224	22	(	(	PUNCT
ejpam-5725	224	23	∫	∫	PROPN
ejpam-5725	224	24	1	1	NUM
ejpam-5725	224	25	0	0	X
ejpam-5725	224	26	∣∣§′(æ	∣∣§′(æ	PROPN
ejpam-5725	224	27	+	+	CCONJ
ejpam-5725	224	28	toζ	toζ	NOUN
ejpam-5725	224	29	(	(	PUNCT
ejpam-5725	224	30	̊s	̊s	PROPN
ejpam-5725	224	31	,	,	PUNCT
ejpam-5725	224	32	æ	æ	NOUN
ejpam-5725	224	33	)	)	PUNCT
ejpam-5725	224	34	)	)	PUNCT
ejpam-5725	224	35	∣∣q	∣∣q	NUM
ejpam-5725	224	36	dto)1	dto)1	PROPN
ejpam-5725	224	37	/	/	SYM
ejpam-5725	224	38	q	q	NOUN
ejpam-5725	224	39	.	.	PUNCT
ejpam-5725	225	1	(	(	PUNCT
ejpam-5725	225	2	11	11	NUM
ejpam-5725	225	3	)	)	PUNCT
ejpam-5725	225	4	since	since	SCONJ
ejpam-5725	225	5	(	(	PUNCT
ejpam-5725	225	6	1	1	NUM
ejpam-5725	225	7	/	/	SYM
ejpam-5725	225	8	p	p	NOUN
ejpam-5725	225	9	)	)	PUNCT
ejpam-5725	225	10	+	+	CCONJ
ejpam-5725	225	11	(	(	PUNCT
ejpam-5725	225	12	1	1	NUM
ejpam-5725	225	13	/	/	SYM
ejpam-5725	225	14	q	q	NOUN
ejpam-5725	225	15	)	)	PUNCT
ejpam-5725	225	16	=	=	SYM
ejpam-5725	225	17	1	1	NUM
ejpam-5725	225	18	,	,	PUNCT
ejpam-5725	225	19	and	and	CCONJ
ejpam-5725	225	20	because	because	SCONJ
ejpam-5725	225	21	|§′|q	|§′|q	NOUN
ejpam-5725	225	22	is	be	AUX
ejpam-5725	225	23	an	an	DET
ejpam-5725	225	24	(	(	PUNCT
ejpam-5725	225	25	h	h	NOUN
ejpam-5725	225	26	-	-	PUNCT
ejpam-5725	225	27	gl	gl	NOUN
ejpam-5725	225	28	)	)	PUNCT
ejpam-5725	225	29	preinvex	preinvex	NOUN
ejpam-5725	225	30	function	function	NOUN
ejpam-5725	225	31	,	,	PUNCT
ejpam-5725	225	32	we	we	PRON
ejpam-5725	225	33	obtain:∫	obtain:∫	VERB
ejpam-5725	225	34	1	1	NUM
ejpam-5725	225	35	0	0	X
ejpam-5725	225	36	∣∣§′(æ	∣∣§′(æ	PROPN
ejpam-5725	225	37	+	+	CCONJ
ejpam-5725	225	38	toζ	toζ	NOUN
ejpam-5725	225	39	(	(	PUNCT
ejpam-5725	225	40	̊s	̊s	PROPN
ejpam-5725	225	41	,	,	PUNCT
ejpam-5725	225	42	æ	æ	NOUN
ejpam-5725	225	43	)	)	PUNCT
ejpam-5725	225	44	)	)	PUNCT
ejpam-5725	225	45	∣∣q	∣∣q	NUM
ejpam-5725	225	46	dto	dto	PROPN
ejpam-5725	225	47	≤	≤	NUM
ejpam-5725	225	48	∫	∫	PROPN
ejpam-5725	225	49	1	1	NUM
ejpam-5725	225	50	0	0	NUM
ejpam-5725	225	51	(	(	PUNCT
ejpam-5725	225	52	|§′(æ)|q	|§′(æ)|q	NOUN
ejpam-5725	225	53	h(to	h(to	NOUN
ejpam-5725	225	54	)	)	PUNCT
ejpam-5725	225	55	+	+	NUM
ejpam-5725	225	56	|§′(̊s)|q	|§′(̊s)|q	PROPN
ejpam-5725	225	57	h(1−	h(1−	NOUN
ejpam-5725	225	58	to	to	PART
ejpam-5725	225	59	)	)	PUNCT
ejpam-5725	225	60	)	)	PUNCT
ejpam-5725	226	1	dto	dto	NOUN
ejpam-5725	226	2	≤	≤	NOUN
ejpam-5725	226	3	(	(	PUNCT
ejpam-5725	226	4	∣∣§′(æ)∣∣q	∣∣§′(æ)∣∣q	NOUN
ejpam-5725	226	5	+	+	CCONJ
ejpam-5725	226	6	∣∣§′(̊s)∣∣q	∣∣§′(̊s)∣∣q	NOUN
ejpam-5725	226	7	)	)	PUNCT
ejpam-5725	226	8	∫	∫	PROPN
ejpam-5725	226	9	1	1	NUM
ejpam-5725	226	10	0	0	NUM
ejpam-5725	226	11	1	1	NUM
ejpam-5725	226	12	h(to	h(to	NOUN
ejpam-5725	226	13	)	)	PUNCT
ejpam-5725	226	14	dto	dto	PROPN
ejpam-5725	226	15	.	.	PUNCT
ejpam-5725	227	1	(	(	PUNCT
ejpam-5725	227	2	12	12	NUM
ejpam-5725	227	3	)	)	PUNCT
ejpam-5725	227	4	using	use	VERB
ejpam-5725	227	5	(	(	PUNCT
ejpam-5725	227	6	12	12	NUM
ejpam-5725	227	7	)	)	PUNCT
ejpam-5725	227	8	in	in	ADP
ejpam-5725	227	9	(	(	PUNCT
ejpam-5725	227	10	11	11	NUM
ejpam-5725	227	11	)	)	PUNCT
ejpam-5725	227	12	,	,	PUNCT
ejpam-5725	227	13	we	we	PRON
ejpam-5725	227	14	have	have	VERB
ejpam-5725	227	15	the	the	DET
ejpam-5725	227	16	required	require	VERB
ejpam-5725	227	17	result	result	NOUN
ejpam-5725	227	18	.	.	PUNCT
ejpam-5725	228	1	theorem	theorem	ADJ
ejpam-5725	228	2	4	4	NUM
ejpam-5725	228	3	.	.	PUNCT
ejpam-5725	228	4	with	with	ADP
ejpam-5725	228	5	the	the	DET
ejpam-5725	228	6	assumptions	assumption	NOUN
ejpam-5725	228	7	of	of	ADP
ejpam-5725	228	8	theorem	theorem	NOUN
ejpam-5725	228	9	3	3	NUM
ejpam-5725	228	10	,	,	PUNCT
ejpam-5725	228	11	we	we	PRON
ejpam-5725	228	12	get	get	VERB
ejpam-5725	228	13	the	the	DET
ejpam-5725	228	14	following	follow	VERB
ejpam-5725	228	15	inequality	inequality	NOUN
ejpam-5725	228	16	related	relate	VERB
ejpam-5725	228	17	to	to	ADP
ejpam-5725	228	18	the	the	DET
ejpam-5725	228	19	hermite	hermite	PROPN
ejpam-5725	228	20	-	-	PUNCT
ejpam-5725	228	21	hadamard	hadamard	NOUN
ejpam-5725	228	22	inequality:∣∣∣∣§(æ	inequality:∣∣∣∣§(æ	NOUN
ejpam-5725	228	23	)	)	PUNCT
ejpam-5725	229	1	+	+	CCONJ
ejpam-5725	229	2	§	§	PROPN
ejpam-5725	229	3	(	(	PUNCT
ejpam-5725	229	4	æ	æ	PROPN
ejpam-5725	229	5	+	+	NUM
ejpam-5725	229	6	ζ	ζ	X
ejpam-5725	229	7	(	(	PUNCT
ejpam-5725	229	8	̊s	̊s	PROPN
ejpam-5725	229	9	,	,	PUNCT
ejpam-5725	229	10	æ	æ	NOUN
ejpam-5725	229	11	)	)	PUNCT
ejpam-5725	229	12	)	)	PUNCT
ejpam-5725	229	13	2	2	NUM
ejpam-5725	229	14	jαβ	jαβ	NOUN
ejpam-5725	229	15	,	,	PUNCT
ejpam-5725	229	16	γ(ω	γ(ω	PROPN
ejpam-5725	229	17	;	;	PUNCT
ejpam-5725	229	18	p)−	p)−	NOUN
ejpam-5725	229	19	1	1	NUM
ejpam-5725	229	20	2ζ	2ζ	NUM
ejpam-5725	229	21	(	(	PUNCT
ejpam-5725	229	22	̊s	̊s	ADJ
ejpam-5725	229	23	,	,	PUNCT
ejpam-5725	229	24	æ)β−1	æ)β−1	ADP
ejpam-5725	229	25	×	×	NOUN
ejpam-5725	230	1	[	[	X
ejpam-5725	230	2	(	(	PUNCT
ejpam-5725	230	3	ℑæ+	ℑæ+	PROPN
ejpam-5725	230	4	æ+ζ	æ+ζ	PUNCT
ejpam-5725	230	5	(	(	PUNCT
ejpam-5725	230	6	̊s	̊s	ADV
ejpam-5725	230	7	,	,	PUNCT
ejpam-5725	230	8	æ),β−1	æ),β−1	PROPN
ejpam-5725	230	9	)	)	PUNCT
ejpam-5725	230	10	(	(	PUNCT
ejpam-5725	230	11	ω′	ω′	X
ejpam-5725	230	12	,	,	PUNCT
ejpam-5725	230	13	§	§	PROPN
ejpam-5725	230	14	)	)	PUNCT
ejpam-5725	230	15	+	+	CCONJ
ejpam-5725	230	16	(	(	PUNCT
ejpam-5725	230	17	ℑ(æ+ζ	ℑ(æ+ζ	INTJ
ejpam-5725	230	18	(	(	PUNCT
ejpam-5725	230	19	̊s	̊s	ADV
ejpam-5725	230	20	,	,	PUNCT
ejpam-5725	230	21	æ))−	æ))−	PROPN
ejpam-5725	230	22	æ	æ	PROPN
ejpam-5725	230	23	,	,	PUNCT
ejpam-5725	230	24	β−1	β−1	PUNCT
ejpam-5725	230	25	)	)	PUNCT
ejpam-5725	230	26	(	(	PUNCT
ejpam-5725	230	27	ω′	ω′	X
ejpam-5725	230	28	,	,	PUNCT
ejpam-5725	230	29	§	§	PROPN
ejpam-5725	230	30	)	)	PUNCT
ejpam-5725	230	31	]	]	PUNCT
ejpam-5725	230	32	≤	≤	NUM
ejpam-5725	230	33	ζ	ζ	NOUN
ejpam-5725	230	34	(	(	PUNCT
ejpam-5725	230	35	̊s	̊s	PROPN
ejpam-5725	230	36	,	,	PUNCT
ejpam-5725	230	37	æ	æ	NOUN
ejpam-5725	230	38	)	)	PUNCT
ejpam-5725	230	39	21	21	NUM
ejpam-5725	230	40	/	/	SYM
ejpam-5725	230	41	q	q	X
ejpam-5725	230	42	(	(	PUNCT
ejpam-5725	230	43	∣∣§′(æ)∣∣q	∣∣§′(æ)∣∣q	NOUN
ejpam-5725	230	44	+	+	CCONJ
ejpam-5725	230	45	∣∣§′(̊s)∣∣q)1	∣∣§′(̊s)∣∣q)1	NOUN
ejpam-5725	230	46	/	/	SYM
ejpam-5725	230	47	q	q	NOUN
ejpam-5725	231	1	[	[	X
ejpam-5725	231	2	jαβ	jαβ	ADJ
ejpam-5725	231	3	,	,	PUNCT
ejpam-5725	231	4	γ(ω	γ(ω	ADJ
ejpam-5725	231	5	;	;	PUNCT
ejpam-5725	231	6	p)−	p)−	NOUN
ejpam-5725	231	7	(	(	PUNCT
ejpam-5725	231	8	1	1	NUM
ejpam-5725	231	9	2	2	NUM
ejpam-5725	231	10	)	)	PUNCT
ejpam-5725	231	11	β−1	β−1	X
ejpam-5725	231	12	jαβ	jαβ	PROPN
ejpam-5725	231	13	,	,	PUNCT
ejpam-5725	231	14	γ	γ	X
ejpam-5725	231	15	(	(	PUNCT
ejpam-5725	231	16	ω	ω	PROPN
ejpam-5725	231	17	(	(	PUNCT
ejpam-5725	231	18	1	1	NUM
ejpam-5725	231	19	2	2	NUM
ejpam-5725	231	20	)	)	PUNCT
ejpam-5725	231	21	α	α	NOUN
ejpam-5725	231	22	;	;	PUNCT
ejpam-5725	231	23	p	p	X
ejpam-5725	231	24	)	)	PUNCT
ejpam-5725	231	25	]	]	SYM
ejpam-5725	231	26	1−(1	1−(1	NUM
ejpam-5725	231	27	/	/	SYM
ejpam-5725	231	28	q	q	NOUN
ejpam-5725	231	29	)	)	PUNCT
ejpam-5725	231	30	r.	r.	PROPN
ejpam-5725	231	31	s.	s.	PROPN
ejpam-5725	231	32	ali	ali	PROPN
ejpam-5725	231	33	et	et	PROPN
ejpam-5725	231	34	al	al	PROPN
ejpam-5725	231	35	.	.	PUNCT
ejpam-5725	231	36	/	/	SYM
ejpam-5725	231	37	eur	eur	PROPN
ejpam-5725	231	38	.	.	PUNCT
ejpam-5725	232	1	j.	j.	PROPN
ejpam-5725	232	2	pure	pure	PROPN
ejpam-5725	232	3	appl	appl	PROPN
ejpam-5725	232	4	.	.	PROPN
ejpam-5725	232	5	math	math	PROPN
ejpam-5725	232	6	,	,	PUNCT
ejpam-5725	232	7	18	18	NUM
ejpam-5725	232	8	(	(	PUNCT
ejpam-5725	232	9	1	1	NUM
ejpam-5725	232	10	)	)	PUNCT
ejpam-5725	232	11	(	(	PUNCT
ejpam-5725	232	12	2025	2025	NUM
ejpam-5725	232	13	)	)	PUNCT
ejpam-5725	232	14	,	,	PUNCT
ejpam-5725	232	15	5725	5725	NUM
ejpam-5725	232	16	11	11	NUM
ejpam-5725	232	17	of	of	ADP
ejpam-5725	232	18	14	14	NUM
ejpam-5725	232	19	×	×	NOUN
ejpam-5725	232	20	∫	∫	NUM
ejpam-5725	232	21	1	1	NUM
ejpam-5725	232	22	0	0	NUM
ejpam-5725	232	23	∣∣∣(1−	∣∣∣(1−	PROPN
ejpam-5725	232	24	to	to	ADP
ejpam-5725	232	25	)	)	PUNCT
ejpam-5725	232	26	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	232	27	,	,	PUNCT
ejpam-5725	232	28	γ	γ	X
ejpam-5725	232	29	(	(	PUNCT
ejpam-5725	232	30	ω(1−	ω(1−	NOUN
ejpam-5725	232	31	to	to	ADP
ejpam-5725	232	32	)	)	PUNCT
ejpam-5725	233	1	α	α	PRON
ejpam-5725	233	2	;	;	PUNCT
ejpam-5725	233	3	p)−	p)−	NOUN
ejpam-5725	233	4	(	(	PUNCT
ejpam-5725	233	5	to	to	PART
ejpam-5725	233	6	)	)	PUNCT
ejpam-5725	233	7	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	233	8	,	,	PUNCT
ejpam-5725	233	9	γ	γ	X
ejpam-5725	233	10	(	(	PUNCT
ejpam-5725	233	11	ω(to	ω(to	NOUN
ejpam-5725	233	12	)	)	PUNCT
ejpam-5725	233	13	α	α	NOUN
ejpam-5725	233	14	;	;	PUNCT
ejpam-5725	233	15	p	p	X
ejpam-5725	233	16	)	)	PUNCT
ejpam-5725	233	17	∣∣∣	∣∣∣	ADJ
ejpam-5725	233	18	h(to	h(to	NOUN
ejpam-5725	233	19	)	)	PUNCT
ejpam-5725	233	20	dto	dto	NOUN
ejpam-5725	233	21			PROPN
ejpam-5725	233	22	1	1	NUM
ejpam-5725	233	23	q	q	NOUN
ejpam-5725	233	24	.	.	PUNCT
ejpam-5725	234	1	where	where	SCONJ
ejpam-5725	234	2	β	β	X
ejpam-5725	234	3	,	,	PUNCT
ejpam-5725	234	4	α	α	PROPN
ejpam-5725	234	5	∈	∈	PROPN
ejpam-5725	234	6	r+	r+	NOUN
ejpam-5725	234	7	.	.	PUNCT
ejpam-5725	235	1	proof	proof	NOUN
ejpam-5725	235	2	.	.	PUNCT
ejpam-5725	236	1	according	accord	VERB
ejpam-5725	236	2	to	to	ADP
ejpam-5725	236	3	lemma	lemma	PROPN
ejpam-5725	236	4	1	1	NUM
ejpam-5725	236	5	,	,	PUNCT
ejpam-5725	236	6	we	we	PRON
ejpam-5725	236	7	have∣∣∣∣	have∣∣∣∣	PROPN
ejpam-5725	236	8	§	§	PROPN
ejpam-5725	236	9	(	(	PUNCT
ejpam-5725	236	10	æ	æ	NOUN
ejpam-5725	236	11	)	)	PUNCT
ejpam-5725	236	12	+	+	CCONJ
ejpam-5725	236	13	§	§	PROPN
ejpam-5725	236	14	(	(	PUNCT
ejpam-5725	236	15	æ	æ	PROPN
ejpam-5725	236	16	+	+	NUM
ejpam-5725	236	17	ζ	ζ	X
ejpam-5725	236	18	(	(	PUNCT
ejpam-5725	236	19	̊s	̊s	PROPN
ejpam-5725	236	20	,	,	PUNCT
ejpam-5725	236	21	æ	æ	NOUN
ejpam-5725	236	22	)	)	PUNCT
ejpam-5725	236	23	)	)	PUNCT
ejpam-5725	236	24	2	2	NUM
ejpam-5725	236	25	jαβ	jαβ	NOUN
ejpam-5725	236	26	,	,	PUNCT
ejpam-5725	236	27	γ(ω	γ(ω	PROPN
ejpam-5725	236	28	;	;	PUNCT
ejpam-5725	236	29	p)−	p)−	NOUN
ejpam-5725	236	30	1	1	NUM
ejpam-5725	236	31	2ζ	2ζ	NUM
ejpam-5725	236	32	(	(	PUNCT
ejpam-5725	236	33	̊s	̊s	ADJ
ejpam-5725	236	34	,	,	PUNCT
ejpam-5725	236	35	æ)β−1	æ)β−1	ADP
ejpam-5725	236	36	×	×	NOUN
ejpam-5725	236	37	[	[	X
ejpam-5725	236	38	(	(	PUNCT
ejpam-5725	236	39	ℑæ+	ℑæ+	PROPN
ejpam-5725	236	40	æ+ζ	æ+ζ	PUNCT
ejpam-5725	236	41	(	(	PUNCT
ejpam-5725	236	42	̊s	̊s	ADV
ejpam-5725	236	43	,	,	PUNCT
ejpam-5725	236	44	æ),β−1	æ),β−1	PROPN
ejpam-5725	236	45	)	)	PUNCT
ejpam-5725	236	46	(	(	PUNCT
ejpam-5725	236	47	ω′	ω′	X
ejpam-5725	236	48	,	,	PUNCT
ejpam-5725	236	49	§	§	PROPN
ejpam-5725	236	50	)	)	PUNCT
ejpam-5725	237	1	+	+	CCONJ
ejpam-5725	237	2	(	(	PUNCT
ejpam-5725	237	3	ℑ(æ+ζ	ℑ(æ+ζ	INTJ
ejpam-5725	237	4	(	(	PUNCT
ejpam-5725	237	5	̊s	̊s	ADV
ejpam-5725	237	6	,	,	PUNCT
ejpam-5725	237	7	æ))−	æ))−	PROPN
ejpam-5725	237	8	æ	æ	PROPN
ejpam-5725	237	9	,	,	PUNCT
ejpam-5725	237	10	β−1	β−1	PUNCT
ejpam-5725	237	11	)	)	PUNCT
ejpam-5725	237	12	(	(	PUNCT
ejpam-5725	237	13	ω′	ω′	X
ejpam-5725	237	14	,	,	PUNCT
ejpam-5725	237	15	§	§	PROPN
ejpam-5725	237	16	)	)	PUNCT
ejpam-5725	237	17	]	]	PUNCT
ejpam-5725	238	1	|	|	ADV
ejpam-5725	238	2	=	=	SYM
ejpam-5725	238	3	∣∣∣∣ζ	∣∣∣∣ζ	NOUN
ejpam-5725	238	4	(	(	PUNCT
ejpam-5725	238	5	̊s	̊s	ADV
ejpam-5725	238	6	,	,	PUNCT
ejpam-5725	238	7	æ)2	æ)2	NOUN
ejpam-5725	238	8	i	i	PRON
ejpam-5725	238	9	∣∣∣∣	∣∣∣∣	VERB
ejpam-5725	238	10	≤	≤	NUM
ejpam-5725	238	11	ζ	ζ	NOUN
ejpam-5725	238	12	(	(	PUNCT
ejpam-5725	238	13	̊s	̊s	PROPN
ejpam-5725	238	14	,	,	PUNCT
ejpam-5725	238	15	æ	æ	NOUN
ejpam-5725	238	16	)	)	PUNCT
ejpam-5725	238	17	2	2	NUM
ejpam-5725	238	18	∫	∫	NOUN
ejpam-5725	238	19	1	1	NUM
ejpam-5725	238	20	0	0	NUM
ejpam-5725	238	21	∣∣∣(1−	∣∣∣(1−	PROPN
ejpam-5725	238	22	to	to	ADP
ejpam-5725	238	23	)	)	PUNCT
ejpam-5725	238	24	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	238	25	,	,	PUNCT
ejpam-5725	238	26	γ	γ	X
ejpam-5725	238	27	(	(	PUNCT
ejpam-5725	238	28	ω(1−	ω(1−	NOUN
ejpam-5725	238	29	to	to	ADP
ejpam-5725	238	30	)	)	PUNCT
ejpam-5725	239	1	α	α	PRON
ejpam-5725	239	2	;	;	PUNCT
ejpam-5725	239	3	p)−	p)−	NOUN
ejpam-5725	239	4	(	(	PUNCT
ejpam-5725	239	5	to	to	PART
ejpam-5725	239	6	)	)	PUNCT
ejpam-5725	239	7	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	239	8	,	,	PUNCT
ejpam-5725	239	9	γ	γ	X
ejpam-5725	239	10	(	(	PUNCT
ejpam-5725	239	11	ω(to	ω(to	NOUN
ejpam-5725	239	12	)	)	PUNCT
ejpam-5725	239	13	α	α	NOUN
ejpam-5725	239	14	;	;	PUNCT
ejpam-5725	239	15	p	p	X
ejpam-5725	239	16	)	)	PUNCT
ejpam-5725	239	17	∣∣∣	∣∣∣	NOUN
ejpam-5725	239	18	∣∣§′(æ	∣∣§′(æ	PROPN
ejpam-5725	239	19	+	+	CCONJ
ejpam-5725	239	20	toζ	toζ	NOUN
ejpam-5725	239	21	(	(	PUNCT
ejpam-5725	239	22	̊s	̊s	PROPN
ejpam-5725	239	23	,	,	PUNCT
ejpam-5725	239	24	æ	æ	NOUN
ejpam-5725	239	25	)	)	PUNCT
ejpam-5725	239	26	)	)	PUNCT
ejpam-5725	240	1	∣∣dto	∣∣dto	PROPN
ejpam-5725	240	2	applying	apply	VERB
ejpam-5725	240	3	the	the	DET
ejpam-5725	240	4	power	power	NOUN
ejpam-5725	240	5	mean	mean	NOUN
ejpam-5725	240	6	inequality	inequality	NOUN
ejpam-5725	240	7	,	,	PUNCT
ejpam-5725	240	8	we	we	PRON
ejpam-5725	240	9	derive:∣∣∣∣	derive:∣∣∣∣	PROPN
ejpam-5725	240	10	§	§	PROPN
ejpam-5725	240	11	(	(	PUNCT
ejpam-5725	240	12	æ	æ	NOUN
ejpam-5725	240	13	)	)	PUNCT
ejpam-5725	240	14	+	+	CCONJ
ejpam-5725	240	15	§	§	PROPN
ejpam-5725	240	16	(	(	PUNCT
ejpam-5725	240	17	æ	æ	PROPN
ejpam-5725	240	18	+	+	NUM
ejpam-5725	240	19	ζ	ζ	X
ejpam-5725	240	20	(	(	PUNCT
ejpam-5725	240	21	̊s	̊s	PROPN
ejpam-5725	240	22	,	,	PUNCT
ejpam-5725	240	23	æ	æ	NOUN
ejpam-5725	240	24	)	)	PUNCT
ejpam-5725	240	25	)	)	PUNCT
ejpam-5725	240	26	2	2	NUM
ejpam-5725	240	27	jαβ	jαβ	NOUN
ejpam-5725	240	28	,	,	PUNCT
ejpam-5725	240	29	γ(ω	γ(ω	PROPN
ejpam-5725	240	30	;	;	PUNCT
ejpam-5725	240	31	p	p	X
ejpam-5725	240	32	)	)	PUNCT
ejpam-5725	240	33	−	−	PROPN
ejpam-5725	240	34	1	1	NUM
ejpam-5725	240	35	2ζ	2ζ	NUM
ejpam-5725	240	36	(	(	PUNCT
ejpam-5725	240	37	̊s	̊s	ADJ
ejpam-5725	240	38	,	,	PUNCT
ejpam-5725	240	39	æ)β	æ)β	PUNCT
ejpam-5725	241	1	[	[	X
ejpam-5725	241	2	(	(	PUNCT
ejpam-5725	241	3	jæ	jæ	NOUN
ejpam-5725	241	4	+	+	PROPN
ejpam-5725	241	5	æ+ζ	æ+ζ	NUM
ejpam-5725	241	6	(	(	PUNCT
ejpam-5725	241	7	̊s	̊s	ADV
ejpam-5725	241	8	,	,	PUNCT
ejpam-5725	241	9	æ),β−1	æ),β−1	PROPN
ejpam-5725	241	10	)	)	PUNCT
ejpam-5725	241	11	(	(	PUNCT
ejpam-5725	241	12	ω′	ω′	X
ejpam-5725	241	13	,	,	PUNCT
ejpam-5725	241	14	§	§	PROPN
ejpam-5725	241	15	)	)	PUNCT
ejpam-5725	242	1	+	+	CCONJ
ejpam-5725	242	2	(	(	PUNCT
ejpam-5725	242	3	j	j	X
ejpam-5725	242	4	(	(	PUNCT
ejpam-5725	242	5	æ+ζ	æ+ζ	PUNCT
ejpam-5725	242	6	(	(	PUNCT
ejpam-5725	242	7	̊s	̊s	ADV
ejpam-5725	242	8	,	,	PUNCT
ejpam-5725	242	9	æ))−	æ))−	PROPN
ejpam-5725	242	10	æ	æ	PROPN
ejpam-5725	242	11	,	,	PUNCT
ejpam-5725	242	12	β−1	β−1	PUNCT
ejpam-5725	242	13	)	)	PUNCT
ejpam-5725	242	14	(	(	PUNCT
ejpam-5725	242	15	ω′	ω′	X
ejpam-5725	242	16	,	,	PUNCT
ejpam-5725	242	17	§	§	PROPN
ejpam-5725	242	18	)	)	PUNCT
ejpam-5725	242	19	]	]	PUNCT
ejpam-5725	242	20	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5725	242	21	≤	≤	NUM
ejpam-5725	242	22	ζ	ζ	NOUN
ejpam-5725	242	23	(	(	PUNCT
ejpam-5725	242	24	̊s	̊s	PROPN
ejpam-5725	242	25	,	,	PUNCT
ejpam-5725	242	26	æ	æ	NOUN
ejpam-5725	242	27	)	)	PUNCT
ejpam-5725	242	28	2	2	NUM
ejpam-5725	242	29	(	(	PUNCT
ejpam-5725	242	30	∫	∫	PROPN
ejpam-5725	242	31	1	1	NUM
ejpam-5725	242	32	0	0	X
ejpam-5725	242	33	∣∣∣(1−	∣∣∣(1−	PROPN
ejpam-5725	242	34	to	to	ADP
ejpam-5725	242	35	)	)	PUNCT
ejpam-5725	242	36	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	242	37	,	,	PUNCT
ejpam-5725	242	38	γ	γ	X
ejpam-5725	242	39	(	(	PUNCT
ejpam-5725	242	40	ω(1−	ω(1−	NOUN
ejpam-5725	242	41	to	to	ADP
ejpam-5725	242	42	)	)	PUNCT
ejpam-5725	243	1	α	α	PRON
ejpam-5725	243	2	;	;	PUNCT
ejpam-5725	243	3	p)−	p)−	NOUN
ejpam-5725	243	4	(	(	PUNCT
ejpam-5725	243	5	to	to	PART
ejpam-5725	243	6	)	)	PUNCT
ejpam-5725	243	7	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	243	8	,	,	PUNCT
ejpam-5725	243	9	γ	γ	X
ejpam-5725	243	10	(	(	PUNCT
ejpam-5725	243	11	ω(to	ω(to	NOUN
ejpam-5725	243	12	)	)	PUNCT
ejpam-5725	243	13	α	α	NOUN
ejpam-5725	243	14	;	;	PUNCT
ejpam-5725	243	15	p	p	X
ejpam-5725	243	16	)	)	PUNCT
ejpam-5725	243	17	∣∣∣dto)1−(1	∣∣∣dto)1−(1	PROPN
ejpam-5725	243	18	/	/	SYM
ejpam-5725	243	19	q	q	NOUN
ejpam-5725	243	20	)	)	PUNCT
ejpam-5725	243	21	×	×	NOUN
ejpam-5725	243	22	(	(	PUNCT
ejpam-5725	243	23	∫	∫	PROPN
ejpam-5725	243	24	1	1	NUM
ejpam-5725	243	25	0	0	X
ejpam-5725	243	26	∣∣∣(1−	∣∣∣(1−	PROPN
ejpam-5725	243	27	to	to	ADP
ejpam-5725	243	28	)	)	PUNCT
ejpam-5725	243	29	β−1jαβ+1,γ	β−1jαβ+1,γ	PUNCT
ejpam-5725	244	1	(	(	PUNCT
ejpam-5725	244	2	ω(1−	ω(1−	NOUN
ejpam-5725	244	3	to	to	ADP
ejpam-5725	244	4	)	)	PUNCT
ejpam-5725	245	1	α	α	PRON
ejpam-5725	245	2	;	;	PUNCT
ejpam-5725	245	3	p)−	p)−	NOUN
ejpam-5725	245	4	(	(	PUNCT
ejpam-5725	245	5	to	to	PART
ejpam-5725	245	6	)	)	PUNCT
ejpam-5725	245	7	β−1jαβ+1,γ	β−1jαβ+1,γ	PUNCT
ejpam-5725	246	1	(	(	PUNCT
ejpam-5725	246	2	ω(to	ω(to	NOUN
ejpam-5725	246	3	)	)	PUNCT
ejpam-5725	246	4	α	α	NOUN
ejpam-5725	246	5	;	;	PUNCT
ejpam-5725	246	6	p	p	X
ejpam-5725	246	7	)	)	PUNCT
ejpam-5725	246	8	∣∣∣	∣∣∣	ADJ
ejpam-5725	246	9	×	×	PROPN
ejpam-5725	246	10	∣∣§′(æ	∣∣§′(æ	PROPN
ejpam-5725	246	11	+	+	CCONJ
ejpam-5725	246	12	toζ	toζ	NOUN
ejpam-5725	246	13	(	(	PUNCT
ejpam-5725	246	14	̊s	̊s	PROPN
ejpam-5725	246	15	,	,	PUNCT
ejpam-5725	246	16	æ	æ	NOUN
ejpam-5725	246	17	)	)	PUNCT
ejpam-5725	246	18	)	)	PUNCT
ejpam-5725	246	19	∣∣q	∣∣q	NUM
ejpam-5725	246	20	dto	dto	NOUN
ejpam-5725	246	21	)	)	PUNCT
ejpam-5725	246	22	1	1	NUM
ejpam-5725	246	23	/	/	SYM
ejpam-5725	246	24	q	q	NOUN
ejpam-5725	246	25	.	.	PUNCT
ejpam-5725	247	1	since	since	SCONJ
ejpam-5725	247	2	|§′|q	|§′|q	NOUN
ejpam-5725	247	3	is	be	AUX
ejpam-5725	247	4	(	(	PUNCT
ejpam-5725	247	5	h	h	NOUN
ejpam-5725	247	6	-	-	PUNCT
ejpam-5725	247	7	gl	gl	NOUN
ejpam-5725	247	8	)	)	PUNCT
ejpam-5725	247	9	preinvex	preinvex	NOUN
ejpam-5725	247	10	,	,	PUNCT
ejpam-5725	247	11	we	we	PRON
ejpam-5725	247	12	have∫	have∫	VERB
ejpam-5725	247	13	1	1	NUM
ejpam-5725	247	14	0	0	NUM
ejpam-5725	247	15	∣∣∣(1−	∣∣∣(1−	PROPN
ejpam-5725	247	16	to	to	ADP
ejpam-5725	247	17	)	)	PUNCT
ejpam-5725	247	18	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	247	19	,	,	PUNCT
ejpam-5725	247	20	γ	γ	X
ejpam-5725	247	21	(	(	PUNCT
ejpam-5725	247	22	ω(1−	ω(1−	NOUN
ejpam-5725	247	23	to	to	ADP
ejpam-5725	247	24	)	)	PUNCT
ejpam-5725	248	1	α	α	PRON
ejpam-5725	248	2	;	;	PUNCT
ejpam-5725	248	3	p)−	p)−	NOUN
ejpam-5725	248	4	(	(	PUNCT
ejpam-5725	248	5	to	to	PART
ejpam-5725	248	6	)	)	PUNCT
ejpam-5725	248	7	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	248	8	,	,	PUNCT
ejpam-5725	248	9	γ	γ	X
ejpam-5725	248	10	(	(	PUNCT
ejpam-5725	248	11	ω(to	ω(to	NOUN
ejpam-5725	248	12	)	)	PUNCT
ejpam-5725	248	13	α	α	NOUN
ejpam-5725	248	14	;	;	PUNCT
ejpam-5725	248	15	p	p	X
ejpam-5725	248	16	)	)	PUNCT
ejpam-5725	248	17	∣∣∣	∣∣∣	NOUN
ejpam-5725	248	18	∣∣§′(æ	∣∣§′(æ	PROPN
ejpam-5725	248	19	+	+	CCONJ
ejpam-5725	248	20	toζ	toζ	NOUN
ejpam-5725	248	21	(	(	PUNCT
ejpam-5725	248	22	̊s	̊s	PROPN
ejpam-5725	248	23	,	,	PUNCT
ejpam-5725	248	24	æ	æ	NOUN
ejpam-5725	248	25	)	)	PUNCT
ejpam-5725	248	26	)	)	PUNCT
ejpam-5725	248	27	∣∣q	∣∣q	NUM
ejpam-5725	248	28	dto	dto	PROPN
ejpam-5725	248	29	≤	≤	NUM
ejpam-5725	248	30	∫	∫	PROPN
ejpam-5725	249	1	1	1	NUM
ejpam-5725	249	2	0	0	NUM
ejpam-5725	249	3	∣∣∣(1−	∣∣∣(1−	PROPN
ejpam-5725	249	4	to	to	ADP
ejpam-5725	249	5	)	)	PUNCT
ejpam-5725	249	6	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	249	7	,	,	PUNCT
ejpam-5725	249	8	γ	γ	X
ejpam-5725	249	9	(	(	PUNCT
ejpam-5725	249	10	ω(1−	ω(1−	NOUN
ejpam-5725	249	11	to	to	ADP
ejpam-5725	249	12	)	)	PUNCT
ejpam-5725	250	1	α	α	PRON
ejpam-5725	250	2	;	;	PUNCT
ejpam-5725	250	3	p)−	p)−	NOUN
ejpam-5725	250	4	(	(	PUNCT
ejpam-5725	250	5	to	to	PART
ejpam-5725	250	6	)	)	PUNCT
ejpam-5725	250	7	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	250	8	,	,	PUNCT
ejpam-5725	250	9	γ	γ	X
ejpam-5725	250	10	(	(	PUNCT
ejpam-5725	250	11	ω(to	ω(to	NOUN
ejpam-5725	250	12	)	)	PUNCT
ejpam-5725	250	13	α	α	NOUN
ejpam-5725	250	14	;	;	PUNCT
ejpam-5725	250	15	p	p	X
ejpam-5725	250	16	)	)	PUNCT
ejpam-5725	250	17	∣∣∣	∣∣∣	ADJ
ejpam-5725	250	18	h(to	h(to	NOUN
ejpam-5725	250	19	)	)	PUNCT
ejpam-5725	250	20	∣∣§′(æ)∣∣q	∣∣§′(æ)∣∣q	NOUN
ejpam-5725	250	21	dto	dto	PROPN
ejpam-5725	250	22	+	+	CCONJ
ejpam-5725	250	23	∫	∫	PROPN
ejpam-5725	250	24	1	1	NUM
ejpam-5725	250	25	0	0	X
ejpam-5725	250	26	∣∣∣(1−	∣∣∣(1−	PROPN
ejpam-5725	250	27	to	to	ADP
ejpam-5725	250	28	)	)	PUNCT
ejpam-5725	250	29	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	250	30	,	,	PUNCT
ejpam-5725	250	31	γ	γ	X
ejpam-5725	250	32	(	(	PUNCT
ejpam-5725	250	33	ω(1−	ω(1−	NOUN
ejpam-5725	250	34	to	to	ADP
ejpam-5725	250	35	)	)	PUNCT
ejpam-5725	251	1	α	α	PRON
ejpam-5725	251	2	;	;	PUNCT
ejpam-5725	251	3	p)−	p)−	NOUN
ejpam-5725	251	4	(	(	PUNCT
ejpam-5725	251	5	to	to	PART
ejpam-5725	251	6	)	)	PUNCT
ejpam-5725	251	7	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	251	8	,	,	PUNCT
ejpam-5725	251	9	γ	γ	X
ejpam-5725	251	10	(	(	PUNCT
ejpam-5725	251	11	ω(to	ω(to	NOUN
ejpam-5725	251	12	)	)	PUNCT
ejpam-5725	251	13	α	α	NOUN
ejpam-5725	251	14	;	;	PUNCT
ejpam-5725	251	15	p	p	X
ejpam-5725	251	16	)	)	PUNCT
ejpam-5725	251	17	∣∣∣	∣∣∣	ADJ
ejpam-5725	251	18	h(1−	h(1−	PROPN
ejpam-5725	251	19	to	to	PART
ejpam-5725	251	20	)	)	PUNCT
ejpam-5725	251	21	∣∣§′(̊s)∣∣q	∣∣§′(̊s)∣∣q	NOUN
ejpam-5725	251	22	dto	dto	NOUN
ejpam-5725	251	23	=	=	PUNCT
ejpam-5725	251	24	(	(	PUNCT
ejpam-5725	251	25	∣∣§′(æ)∣∣q	∣∣§′(æ)∣∣q	NOUN
ejpam-5725	251	26	+	+	CCONJ
ejpam-5725	251	27	∣∣§′(̊s)∣∣q	∣∣§′(̊s)∣∣q	NOUN
ejpam-5725	251	28	)	)	PUNCT
ejpam-5725	251	29	∫	∫	PROPN
ejpam-5725	252	1	1	1	NUM
ejpam-5725	252	2	0	0	X
ejpam-5725	252	3	∣∣∣(1−	∣∣∣(1−	PROPN
ejpam-5725	252	4	to	to	ADP
ejpam-5725	252	5	)	)	PUNCT
ejpam-5725	252	6	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	252	7	,	,	PUNCT
ejpam-5725	252	8	γ	γ	X
ejpam-5725	252	9	(	(	PUNCT
ejpam-5725	252	10	ω(1−	ω(1−	NOUN
ejpam-5725	252	11	to	to	ADP
ejpam-5725	252	12	)	)	PUNCT
ejpam-5725	253	1	α	α	PRON
ejpam-5725	253	2	;	;	PUNCT
ejpam-5725	253	3	p)−	p)−	NOUN
ejpam-5725	253	4	(	(	PUNCT
ejpam-5725	253	5	to	to	PART
ejpam-5725	253	6	)	)	PUNCT
ejpam-5725	253	7	β−1jαβ	β−1jαβ	PROPN
ejpam-5725	253	8	,	,	PUNCT
ejpam-5725	253	9	γ	γ	X
ejpam-5725	253	10	(	(	PUNCT
ejpam-5725	253	11	ω(to	ω(to	NOUN
ejpam-5725	253	12	)	)	PUNCT
ejpam-5725	253	13	α	α	NOUN
ejpam-5725	253	14	;	;	PUNCT
ejpam-5725	253	15	p	p	X
ejpam-5725	253	16	)	)	PUNCT
ejpam-5725	253	17	∣∣∣	∣∣∣	ADJ
ejpam-5725	253	18	h(to	h(to	NOUN
ejpam-5725	253	19	)	)	PUNCT
ejpam-5725	253	20	dto	dto	PROPN
ejpam-5725	253	21	.	.	PUNCT
ejpam-5725	254	1	r.	r.	PROPN
ejpam-5725	254	2	s.	s.	PROPN
ejpam-5725	254	3	ali	ali	PROPN
ejpam-5725	254	4	et	et	PROPN
ejpam-5725	254	5	al	al	PROPN
ejpam-5725	254	6	.	.	PUNCT
ejpam-5725	254	7	/	/	SYM
ejpam-5725	254	8	eur	eur	PROPN
ejpam-5725	254	9	.	.	PUNCT
ejpam-5725	255	1	j.	j.	PROPN
ejpam-5725	255	2	pure	pure	PROPN
ejpam-5725	255	3	appl	appl	PROPN
ejpam-5725	255	4	.	.	PROPN
ejpam-5725	255	5	math	math	PROPN
ejpam-5725	255	6	,	,	PUNCT
ejpam-5725	255	7	18	18	NUM
ejpam-5725	255	8	(	(	PUNCT
ejpam-5725	255	9	1	1	NUM
ejpam-5725	255	10	)	)	PUNCT
ejpam-5725	255	11	(	(	PUNCT
ejpam-5725	255	12	2025	2025	NUM
ejpam-5725	255	13	)	)	PUNCT
ejpam-5725	255	14	,	,	PUNCT
ejpam-5725	255	15	5725	5725	NUM
ejpam-5725	255	16	12	12	NUM
ejpam-5725	255	17	of	of	ADP
ejpam-5725	255	18	14	14	NUM
ejpam-5725	255	19	now	now	ADV
ejpam-5725	255	20	consider	consider	VERB
ejpam-5725	255	21	,	,	PUNCT
ejpam-5725	255	22	∫	∫	PROPN
ejpam-5725	255	23	1	1	NUM
ejpam-5725	255	24	0	0	X
ejpam-5725	255	25	∣∣∣(1−	∣∣∣(1−	PROPN
ejpam-5725	255	26	to	to	PART
ejpam-5725	255	27	)	)	PUNCT
ejpam-5725	255	28	βjαβ	βjαβ	NOUN
ejpam-5725	255	29	,	,	PUNCT
ejpam-5725	255	30	γ	γ	X
ejpam-5725	255	31	(	(	PUNCT
ejpam-5725	255	32	ω(1−	ω(1−	NOUN
ejpam-5725	255	33	to	to	ADP
ejpam-5725	255	34	)	)	PUNCT
ejpam-5725	256	1	α	α	PRON
ejpam-5725	256	2	;	;	PUNCT
ejpam-5725	256	3	p)−	p)−	NOUN
ejpam-5725	256	4	(	(	PUNCT
ejpam-5725	256	5	to	to	PART
ejpam-5725	256	6	)	)	PUNCT
ejpam-5725	256	7	βjαβ	βjαβ	NOUN
ejpam-5725	256	8	,	,	PUNCT
ejpam-5725	256	9	γ	γ	X
ejpam-5725	256	10	(	(	PUNCT
ejpam-5725	256	11	ω(to	ω(to	NOUN
ejpam-5725	256	12	)	)	PUNCT
ejpam-5725	256	13	α	α	NOUN
ejpam-5725	256	14	;	;	PUNCT
ejpam-5725	256	15	p	p	X
ejpam-5725	256	16	)	)	PUNCT
ejpam-5725	256	17	∣∣∣	∣∣∣	NOUN
ejpam-5725	256	18	dto	dto	NOUN
ejpam-5725	256	19	=	=	PUNCT
ejpam-5725	257	1	+	+	PROPN
ejpam-5725	257	2	∞∑	∞∑	NUM
ejpam-5725	257	3	n=0	n=0	NUM
ejpam-5725	257	4	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5725	257	5	(	(	PUNCT
ejpam-5725	257	6	γ)n	γ)n	X
ejpam-5725	257	7	γ(βn+	γ(βn+	ADJ
ejpam-5725	257	8	α	α	X
ejpam-5725	257	9	)	)	PUNCT
ejpam-5725	257	10	wn	wn	PROPN
ejpam-5725	257	11	n	n	X
ejpam-5725	257	12	!	!	PUNCT
ejpam-5725	258	1	∣∣∣∣	∣∣∣∣	PROPN
ejpam-5725	258	2	∫	∫	PROPN
ejpam-5725	258	3	1	1	NUM
ejpam-5725	258	4	0	0	X
ejpam-5725	258	5	∣∣∣(1−	∣∣∣(1−	PROPN
ejpam-5725	258	6	to	to	ADP
ejpam-5725	258	7	)	)	PUNCT
ejpam-5725	258	8	β+αs̊−1	β+αs̊−1	NOUN
ejpam-5725	259	1	−	−	PROPN
ejpam-5725	259	2	(	(	PUNCT
ejpam-5725	259	3	to	to	PART
ejpam-5725	259	4	)	)	PUNCT
ejpam-5725	259	5	β+αs̊−1	β+αs̊−1	PROPN
ejpam-5725	260	1	∣∣∣	∣∣∣	NOUN
ejpam-5725	260	2	dto	dto	PROPN
ejpam-5725	260	3	=	=	PUNCT
ejpam-5725	261	1	+	+	PROPN
ejpam-5725	261	2	∞∑	∞∑	NUM
ejpam-5725	261	3	n=0	n=0	NUM
ejpam-5725	261	4	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5725	261	5	(	(	PUNCT
ejpam-5725	261	6	γ)n	γ)n	X
ejpam-5725	261	7	γ(βn+	γ(βn+	ADJ
ejpam-5725	261	8	α	α	X
ejpam-5725	261	9	)	)	PUNCT
ejpam-5725	261	10	wn	wn	PROPN
ejpam-5725	261	11	n	n	X
ejpam-5725	261	12	!	!	PUNCT
ejpam-5725	262	1	∣∣∣∣	∣∣∣∣	NOUN
ejpam-5725	262	2	×	×	PROPN
ejpam-5725	263	1	[	[	X
ejpam-5725	263	2	∫	∫	PROPN
ejpam-5725	263	3	1/2	1/2	NUM
ejpam-5725	263	4	0	0	NUM
ejpam-5725	263	5	∣∣∣(1−	∣∣∣(1−	NOUN
ejpam-5725	263	6	to	to	ADP
ejpam-5725	263	7	)	)	PUNCT
ejpam-5725	263	8	β+αs̊−1	β+αs̊−1	NOUN
ejpam-5725	263	9	−	−	PROPN
ejpam-5725	264	1	(	(	PUNCT
ejpam-5725	264	2	to	to	PART
ejpam-5725	264	3	)	)	PUNCT
ejpam-5725	264	4	β+αs̊−1	β+αs̊−1	PROPN
ejpam-5725	265	1	∣∣∣dto	∣∣∣dto	PROPN
ejpam-5725	265	2	+	+	CCONJ
ejpam-5725	265	3	∫	∫	PROPN
ejpam-5725	265	4	1	1	NUM
ejpam-5725	265	5	1/2	1/2	NUM
ejpam-5725	265	6	∣∣∣(1−	∣∣∣(1−	NOUN
ejpam-5725	265	7	to	to	ADP
ejpam-5725	265	8	)	)	PUNCT
ejpam-5725	265	9	β+αs̊−1	β+αs̊−1	NOUN
ejpam-5725	266	1	−	−	PROPN
ejpam-5725	266	2	(	(	PUNCT
ejpam-5725	266	3	to	to	PART
ejpam-5725	266	4	)	)	PUNCT
ejpam-5725	266	5	β+αs̊−1	β+αs̊−1	PUNCT
ejpam-5725	267	1	∣∣∣dto	∣∣∣dto	PROPN
ejpam-5725	267	2	]	]	X
ejpam-5725	267	3	=	=	SYM
ejpam-5725	267	4	2	2	NUM
ejpam-5725	267	5	[	[	PUNCT
ejpam-5725	267	6	jαβ+1,γ(ω	jαβ+1,γ(ω	NOUN
ejpam-5725	267	7	;	;	PUNCT
ejpam-5725	267	8	p)−	p)−	NOUN
ejpam-5725	267	9	(	(	PUNCT
ejpam-5725	267	10	1	1	NUM
ejpam-5725	267	11	2	2	NUM
ejpam-5725	267	12	)	)	PUNCT
ejpam-5725	267	13	β−1	β−1	PUNCT
ejpam-5725	267	14	jαβ+1,γ	jαβ+1,γ	NOUN
ejpam-5725	267	15	(	(	PUNCT
ejpam-5725	267	16	ω	ω	X
ejpam-5725	267	17	(	(	PUNCT
ejpam-5725	267	18	1	1	NUM
ejpam-5725	267	19	2	2	NUM
ejpam-5725	267	20	)	)	PUNCT
ejpam-5725	267	21	α	α	NOUN
ejpam-5725	267	22	;	;	PUNCT
ejpam-5725	267	23	p	p	X
ejpam-5725	267	24	)	)	PUNCT
ejpam-5725	267	25	]	]	PUNCT
ejpam-5725	267	26	.	.	PUNCT
ejpam-5725	268	1	5	5	X
ejpam-5725	268	2	.	.	X
ejpam-5725	268	3	conclusion	conclusion	NOUN
ejpam-5725	268	4	in	in	ADP
ejpam-5725	268	5	this	this	DET
ejpam-5725	268	6	work	work	NOUN
ejpam-5725	268	7	,	,	PUNCT
ejpam-5725	268	8	we	we	PRON
ejpam-5725	268	9	discussed	discuss	VERB
ejpam-5725	268	10	the	the	DET
ejpam-5725	268	11	refinements	refinement	NOUN
ejpam-5725	268	12	of	of	ADP
ejpam-5725	268	13	some	some	DET
ejpam-5725	268	14	well	well	ADV
ejpam-5725	268	15	known	know	VERB
ejpam-5725	268	16	inequalities	inequality	NOUN
ejpam-5725	268	17	for	for	ADP
ejpam-5725	268	18	different	different	ADJ
ejpam-5725	268	19	convexity	convexity	NOUN
ejpam-5725	268	20	through	through	ADP
ejpam-5725	268	21	prabhaker	prabhaker	NOUN
ejpam-5725	268	22	fractional	fractional	ADJ
ejpam-5725	268	23	operators	operator	NOUN
ejpam-5725	268	24	.	.	PUNCT
ejpam-5725	269	1	using	use	VERB
ejpam-5725	269	2	the	the	DET
ejpam-5725	269	3	prabhakar	prabhakar	NOUN
ejpam-5725	269	4	fractional	fractional	ADJ
ejpam-5725	269	5	integral	integral	ADJ
ejpam-5725	269	6	operators	operator	NOUN
ejpam-5725	269	7	,	,	PUNCT
ejpam-5725	269	8	hermite	hermite	PROPN
ejpam-5725	269	9	-	-	PUNCT
ejpam-5725	269	10	hadamard	hadamard	ADJ
ejpam-5725	269	11	fractional	fractional	ADJ
ejpam-5725	269	12	inequalities	inequality	NOUN
ejpam-5725	269	13	and	and	CCONJ
ejpam-5725	269	14	trapezoidal	trapezoidal	ADJ
ejpam-5725	269	15	inequalities	inequality	NOUN
ejpam-5725	269	16	for	for	ADP
ejpam-5725	269	17	h	h	PROPN
ejpam-5725	269	18	godunova	godunova	PROPN
ejpam-5725	269	19	levin	levin	PROPN
ejpam-5725	269	20	convex	convex	PROPN
ejpam-5725	269	21	and	and	CCONJ
ejpam-5725	269	22	preinvex	preinvex	NOUN
ejpam-5725	269	23	functions	function	NOUN
ejpam-5725	269	24	are	be	AUX
ejpam-5725	269	25	developed	develop	VERB
ejpam-5725	269	26	.	.	PUNCT
ejpam-5725	270	1	to	to	PART
ejpam-5725	270	2	obtained	obtain	VERB
ejpam-5725	270	3	some	some	DET
ejpam-5725	270	4	other	other	ADJ
ejpam-5725	270	5	well	well	ADV
ejpam-5725	270	6	known	know	VERB
ejpam-5725	270	7	inequalities	inequality	NOUN
ejpam-5725	270	8	,	,	PUNCT
ejpam-5725	270	9	and	and	CCONJ
ejpam-5725	270	10	presented	present	VERB
ejpam-5725	270	11	in	in	ADP
ejpam-5725	270	12	the	the	DET
ejpam-5725	270	13	form	form	NOUN
ejpam-5725	270	14	of	of	ADP
ejpam-5725	270	15	corollaries	corollary	NOUN
ejpam-5725	270	16	,	,	PUNCT
ejpam-5725	270	17	which	which	PRON
ejpam-5725	270	18	shows	show	VERB
ejpam-5725	270	19	the	the	DET
ejpam-5725	270	20	straightened	straightened	NOUN
ejpam-5725	270	21	of	of	ADP
ejpam-5725	270	22	our	our	PRON
ejpam-5725	270	23	main	main	ADJ
ejpam-5725	270	24	results	result	NOUN
ejpam-5725	270	25	.	.	PUNCT
ejpam-5725	271	1	various	various	ADJ
ejpam-5725	271	2	fractional	fractional	ADJ
ejpam-5725	271	3	versions	version	NOUN
ejpam-5725	271	4	of	of	ADP
ejpam-5725	271	5	other	other	ADJ
ejpam-5725	271	6	recognized	recognize	VERB
ejpam-5725	271	7	inequalities	inequality	NOUN
ejpam-5725	271	8	can	can	AUX
ejpam-5725	271	9	be	be	AUX
ejpam-5725	271	10	derived	derive	VERB
ejpam-5725	271	11	for	for	ADP
ejpam-5725	271	12	h	h	NOUN
ejpam-5725	271	13	-	-	PUNCT
ejpam-5725	271	14	godunova	godunova	ADJ
ejpam-5725	271	15	-	-	PUNCT
ejpam-5725	271	16	levin	levin	PROPN
ejpam-5725	271	17	convex	convex	PROPN
ejpam-5725	271	18	and	and	CCONJ
ejpam-5725	271	19	preinvex	preinvex	NOUN
ejpam-5725	271	20	functions	function	NOUN
ejpam-5725	271	21	,	,	PUNCT
ejpam-5725	271	22	contributing	contribute	VERB
ejpam-5725	271	23	to	to	ADP
ejpam-5725	271	24	significant	significant	ADJ
ejpam-5725	271	25	advancements	advancement	NOUN
ejpam-5725	271	26	in	in	ADP
ejpam-5725	271	27	the	the	DET
ejpam-5725	271	28	theory	theory	NOUN
ejpam-5725	271	29	of	of	ADP
ejpam-5725	271	30	fractional	fractional	ADJ
ejpam-5725	271	31	inequalities	inequality	NOUN
ejpam-5725	271	32	.	.	PUNCT
ejpam-5725	272	1	acknowledgements	acknowledgement	NOUN
ejpam-5725	272	2	the	the	DET
ejpam-5725	272	3	authors	author	NOUN
ejpam-5725	272	4	a.	a.	VERB
ejpam-5725	272	5	aloqaily	aloqaily	ADV
ejpam-5725	272	6	,	,	PUNCT
ejpam-5725	272	7	and	and	CCONJ
ejpam-5725	272	8	n.	n.	PROPN
ejpam-5725	272	9	mlaiki	mlaiki	PROPN
ejpam-5725	272	10	would	would	AUX
ejpam-5725	272	11	like	like	VERB
ejpam-5725	272	12	to	to	PART
ejpam-5725	272	13	thank	thank	VERB
ejpam-5725	272	14	prince	prince	PROPN
ejpam-5725	272	15	sultan	sultan	PROPN
ejpam-5725	272	16	university	university	PROPN
ejpam-5725	272	17	for	for	ADP
ejpam-5725	272	18	paying	pay	VERB
ejpam-5725	272	19	the	the	DET
ejpam-5725	272	20	publication	publication	NOUN
ejpam-5725	272	21	fees	fee	NOUN
ejpam-5725	272	22	for	for	ADP
ejpam-5725	272	23	this	this	DET
ejpam-5725	272	24	work	work	NOUN
ejpam-5725	272	25	through	through	ADP
ejpam-5725	272	26	tas	tas	PROPN
ejpam-5725	272	27	.	.	PUNCT
ejpam-5725	272	28	references	reference	NOUN
ejpam-5725	273	1	[	[	X
ejpam-5725	273	2	1	1	NUM
ejpam-5725	273	3	]	]	PUNCT
ejpam-5725	273	4	thabet	thabet	ADJ
ejpam-5725	273	5	abdeljawad	abdeljawad	NOUN
ejpam-5725	273	6	and	and	CCONJ
ejpam-5725	273	7	dumitru	dumitru	PROPN
ejpam-5725	273	8	baleanu	baleanu	NOUN
ejpam-5725	273	9	.	.	PUNCT
ejpam-5725	274	1	monotonicity	monotonicity	NOUN
ejpam-5725	274	2	results	result	NOUN
ejpam-5725	274	3	for	for	ADP
ejpam-5725	274	4	fractional	fractional	ADJ
ejpam-5725	274	5	difference	difference	NOUN
ejpam-5725	274	6	operators	operator	NOUN
ejpam-5725	274	7	with	with	ADP
ejpam-5725	274	8	discrete	discrete	ADJ
ejpam-5725	274	9	exponential	exponential	ADJ
ejpam-5725	274	10	kernels	kernel	NOUN
ejpam-5725	274	11	.	.	PUNCT
ejpam-5725	275	1	advances	advance	NOUN
ejpam-5725	275	2	in	in	ADP
ejpam-5725	275	3	difference	difference	NOUN
ejpam-5725	275	4	equations	equation	NOUN
ejpam-5725	275	5	,	,	PUNCT
ejpam-5725	275	6	2017:1–9	2017:1–9	NUM
ejpam-5725	275	7	,	,	PUNCT
ejpam-5725	275	8	2017	2017	NUM
ejpam-5725	275	9	.	.	PUNCT
ejpam-5725	276	1	[	[	X
ejpam-5725	276	2	2	2	NUM
ejpam-5725	276	3	]	]	PUNCT
ejpam-5725	276	4	alexandru	alexandru	PROPN
ejpam-5725	276	5	aleman	aleman	PROPN
ejpam-5725	276	6	.	.	PUNCT
ejpam-5725	277	1	on	on	ADP
ejpam-5725	277	2	some	some	DET
ejpam-5725	277	3	generalizations	generalization	NOUN
ejpam-5725	277	4	of	of	ADP
ejpam-5725	277	5	convex	convex	NOUN
ejpam-5725	277	6	sets	set	NOUN
ejpam-5725	277	7	and	and	CCONJ
ejpam-5725	277	8	convex	convex	NOUN
ejpam-5725	277	9	functions	function	NOUN
ejpam-5725	277	10	.	.	PUNCT
ejpam-5725	278	1	mathematica	mathematica	PROPN
ejpam-5725	278	2	-	-	PUNCT
ejpam-5725	278	3	revue	revue	PROPN
ejpam-5725	278	4	d’analyse	d’analyse	PROPN
ejpam-5725	278	5	numérique	numérique	NOUN
ejpam-5725	278	6	et	et	PROPN
ejpam-5725	278	7	de	de	X
ejpam-5725	278	8	théorie	théorie	PROPN
ejpam-5725	278	9	de	de	X
ejpam-5725	278	10	l’approximation	l’approximation	NOUN
ejpam-5725	278	11	.	.	PUNCT
ejpam-5725	279	1	l’analyse	l’analyse	NOUN
ejpam-5725	279	2	numérique	numérique	DET
ejpam-5725	279	3	et	et	NOUN
ejpam-5725	279	4	la	la	PRON
ejpam-5725	279	5	théorie	théorie	PROPN
ejpam-5725	279	6	de	de	X
ejpam-5725	279	7	l’approximation	l’approximation	PROPN
ejpam-5725	279	8	,	,	PUNCT
ejpam-5725	279	9	14(1):1–6	14(1):1–6	NUM
ejpam-5725	279	10	,	,	PUNCT
ejpam-5725	279	11	1985	1985	NUM
ejpam-5725	279	12	.	.	PUNCT
ejpam-5725	280	1	[	[	X
ejpam-5725	280	2	3	3	NUM
ejpam-5725	280	3	]	]	PUNCT
ejpam-5725	280	4	ahoud	ahoud	ADJ
ejpam-5725	280	5	almutairi	almutairi	NOUN
ejpam-5725	280	6	and	and	CCONJ
ejpam-5725	280	7	adem	adem	PROPN
ejpam-5725	280	8	kılıçman	kılıçman	PROPN
ejpam-5725	280	9	.	.	PUNCT
ejpam-5725	281	1	new	new	ADJ
ejpam-5725	281	2	refinements	refinement	NOUN
ejpam-5725	281	3	of	of	ADP
ejpam-5725	281	4	the	the	DET
ejpam-5725	281	5	hadamard	hadamard	ADJ
ejpam-5725	281	6	inequality	inequality	NOUN
ejpam-5725	281	7	on	on	ADP
ejpam-5725	281	8	coordinated	coordinate	VERB
ejpam-5725	281	9	convex	convex	NOUN
ejpam-5725	281	10	function	function	NOUN
ejpam-5725	281	11	.	.	PUNCT
ejpam-5725	282	1	journal	journal	PROPN
ejpam-5725	282	2	of	of	ADP
ejpam-5725	282	3	inequalities	inequality	NOUN
ejpam-5725	282	4	and	and	CCONJ
ejpam-5725	282	5	applications	application	NOUN
ejpam-5725	282	6	,	,	PUNCT
ejpam-5725	282	7	2019:1–9	2019:1–9	PROPN
ejpam-5725	282	8	,	,	PUNCT
ejpam-5725	282	9	2019	2019	NUM
ejpam-5725	282	10	.	.	PUNCT
ejpam-5725	283	1	r.	r.	PROPN
ejpam-5725	283	2	s.	s.	PROPN
ejpam-5725	283	3	ali	ali	PROPN
ejpam-5725	283	4	et	et	PROPN
ejpam-5725	283	5	al	al	PROPN
ejpam-5725	283	6	.	.	PUNCT
ejpam-5725	283	7	/	/	SYM
ejpam-5725	283	8	eur	eur	PROPN
ejpam-5725	283	9	.	.	PUNCT
ejpam-5725	284	1	j.	j.	PROPN
ejpam-5725	284	2	pure	pure	PROPN
ejpam-5725	284	3	appl	appl	PROPN
ejpam-5725	284	4	.	.	PROPN
ejpam-5725	284	5	math	math	PROPN
ejpam-5725	284	6	,	,	PUNCT
ejpam-5725	284	7	18	18	NUM
ejpam-5725	284	8	(	(	PUNCT
ejpam-5725	284	9	1	1	NUM
ejpam-5725	284	10	)	)	PUNCT
ejpam-5725	284	11	(	(	PUNCT
ejpam-5725	284	12	2025	2025	NUM
ejpam-5725	284	13	)	)	PUNCT
ejpam-5725	284	14	,	,	PUNCT
ejpam-5725	284	15	5725	5725	NUM
ejpam-5725	284	16	13	13	NUM
ejpam-5725	284	17	of	of	ADP
ejpam-5725	284	18	14	14	NUM
ejpam-5725	284	19	[	[	SYM
ejpam-5725	284	20	4	4	X
ejpam-5725	284	21	]	]	PUNCT
ejpam-5725	284	22	ohud	ohud	ADJ
ejpam-5725	284	23	almutairi	almutairi	PROPN
ejpam-5725	284	24	and	and	CCONJ
ejpam-5725	284	25	adem	adem	PROPN
ejpam-5725	284	26	kılıçman	kılıçman	PROPN
ejpam-5725	284	27	.	.	PUNCT
ejpam-5725	285	1	some	some	DET
ejpam-5725	285	2	integral	integral	ADJ
ejpam-5725	285	3	inequalities	inequality	NOUN
ejpam-5725	285	4	for	for	ADP
ejpam-5725	285	5	h	h	NOUN
ejpam-5725	285	6	-	-	PUNCT
ejpam-5725	285	7	godunova	godunova	ADJ
ejpam-5725	285	8	-	-	PUNCT
ejpam-5725	285	9	levin	levin	PROPN
ejpam-5725	285	10	preinvexity	preinvexity	PROPN
ejpam-5725	285	11	.	.	PUNCT
ejpam-5725	286	1	symmetry	symmetry	PROPN
ejpam-5725	286	2	,	,	PUNCT
ejpam-5725	286	3	11(12):1500	11(12):1500	NUM
ejpam-5725	286	4	,	,	PUNCT
ejpam-5725	286	5	2019	2019	NUM
ejpam-5725	286	6	.	.	PUNCT
ejpam-5725	287	1	[	[	X
ejpam-5725	287	2	5	5	NUM
ejpam-5725	287	3	]	]	X
ejpam-5725	287	4	dumitru	dumitru	NOUN
ejpam-5725	287	5	baleanu	baleanu	NOUN
ejpam-5725	287	6	,	,	PUNCT
ejpam-5725	287	7	sd	sd	ADP
ejpam-5725	287	8	purohit	purohit	PROPN
ejpam-5725	287	9	,	,	PUNCT
ejpam-5725	287	10	and	and	CCONJ
ejpam-5725	287	11	faruk	faruk	PROPN
ejpam-5725	287	12	uçar	uçar	PROPN
ejpam-5725	287	13	.	.	PUNCT
ejpam-5725	288	1	on	on	ADP
ejpam-5725	288	2	grüss	grüss	PROPN
ejpam-5725	288	3	type	type	NOUN
ejpam-5725	288	4	integral	integral	ADJ
ejpam-5725	288	5	inequality	inequality	NOUN
ejpam-5725	288	6	involving	involve	VERB
ejpam-5725	288	7	the	the	DET
ejpam-5725	288	8	saigo	saigo	NOUN
ejpam-5725	288	9	’s	’s	PART
ejpam-5725	288	10	fractional	fractional	ADJ
ejpam-5725	288	11	integral	integral	ADJ
ejpam-5725	288	12	operators	operator	NOUN
ejpam-5725	288	13	.	.	PUNCT
ejpam-5725	289	1	journal	journal	NOUN
ejpam-5725	289	2	of	of	ADP
ejpam-5725	289	3	computational	computational	ADJ
ejpam-5725	289	4	analysis	analysis	NOUN
ejpam-5725	289	5	&	&	CCONJ
ejpam-5725	289	6	applications	application	NOUN
ejpam-5725	289	7	,	,	PUNCT
ejpam-5725	289	8	19(1	19(1	NUM
ejpam-5725	289	9	)	)	PUNCT
ejpam-5725	289	10	,	,	PUNCT
ejpam-5725	289	11	2015	2015	NUM
ejpam-5725	289	12	.	.	PUNCT
ejpam-5725	290	1	[	[	X
ejpam-5725	290	2	6	6	NUM
ejpam-5725	290	3	]	]	PUNCT
ejpam-5725	290	4	denis	denis	PROPN
ejpam-5725	290	5	bonheure	bonheure	NOUN
ejpam-5725	290	6	and	and	CCONJ
ejpam-5725	290	7	lúıs	lúıs	ADJ
ejpam-5725	290	8	sanchez	sanchez	PROPN
ejpam-5725	290	9	.	.	PUNCT
ejpam-5725	291	1	heteroclinic	heteroclinic	ADJ
ejpam-5725	291	2	orbits	orbit	NOUN
ejpam-5725	291	3	for	for	ADP
ejpam-5725	291	4	some	some	DET
ejpam-5725	291	5	classes	class	NOUN
ejpam-5725	291	6	of	of	ADP
ejpam-5725	291	7	second	second	ADJ
ejpam-5725	291	8	and	and	CCONJ
ejpam-5725	291	9	fourth	fourth	ADJ
ejpam-5725	291	10	order	order	NOUN
ejpam-5725	291	11	differential	differential	ADJ
ejpam-5725	291	12	equations	equation	NOUN
ejpam-5725	291	13	.	.	PUNCT
ejpam-5725	292	1	in	in	ADP
ejpam-5725	292	2	handbook	handbook	NOUN
ejpam-5725	292	3	of	of	ADP
ejpam-5725	292	4	differential	differential	ADJ
ejpam-5725	292	5	equations	equation	NOUN
ejpam-5725	292	6	:	:	PUNCT
ejpam-5725	292	7	ordinary	ordinary	ADJ
ejpam-5725	292	8	differential	differential	ADJ
ejpam-5725	292	9	equations	equation	NOUN
ejpam-5725	292	10	,	,	PUNCT
ejpam-5725	292	11	volume	volume	NOUN
ejpam-5725	292	12	3	3	NUM
ejpam-5725	292	13	,	,	PUNCT
ejpam-5725	292	14	pages	page	NOUN
ejpam-5725	292	15	103–202	103–202	NUM
ejpam-5725	292	16	.	.	PUNCT
ejpam-5725	293	1	elsevier	elsevier	NOUN
ejpam-5725	293	2	,	,	PUNCT
ejpam-5725	293	3	2006	2006	NUM
ejpam-5725	293	4	.	.	PUNCT
ejpam-5725	294	1	[	[	X
ejpam-5725	294	2	7	7	X
ejpam-5725	294	3	]	]	X
ejpam-5725	294	4	sever	sever	PROPN
ejpam-5725	294	5	s	s	AUX
ejpam-5725	294	6	dragomir	dragomir	VERB
ejpam-5725	294	7	et	et	PROPN
ejpam-5725	294	8	al	al	PROPN
ejpam-5725	294	9	.	.	PROPN
ejpam-5725	294	10	integral	integral	ADJ
ejpam-5725	294	11	inequalities	inequality	NOUN
ejpam-5725	294	12	of	of	ADP
ejpam-5725	294	13	jensen	jensen	PROPN
ejpam-5725	294	14	type	type	NOUN
ejpam-5725	294	15	for	for	ADP
ejpam-5725	294	16	λ	λ	NOUN
ejpam-5725	294	17	-	-	ADJ
ejpam-5725	294	18	convex	convex	ADJ
ejpam-5725	294	19	functions	function	NOUN
ejpam-5725	294	20	.	.	PUNCT
ejpam-5725	295	1	matematicki	matematicki	NOUN
ejpam-5725	295	2	vesnik	vesnik	PROPN
ejpam-5725	295	3	,	,	PUNCT
ejpam-5725	295	4	68(1):45–57	68(1):45–57	NUM
ejpam-5725	295	5	,	,	PUNCT
ejpam-5725	295	6	2016	2016	NUM
ejpam-5725	295	7	.	.	PUNCT
ejpam-5725	296	1	[	[	X
ejpam-5725	296	2	8	8	NUM
ejpam-5725	296	3	]	]	PUNCT
ejpam-5725	296	4	sever	sever	PROPN
ejpam-5725	296	5	silvestru	silvestru	PROPN
ejpam-5725	296	6	dragomir	dragomir	PROPN
ejpam-5725	296	7	.	.	PUNCT
ejpam-5725	297	1	two	two	NUM
ejpam-5725	297	2	mappings	mapping	NOUN
ejpam-5725	297	3	in	in	ADP
ejpam-5725	297	4	connection	connection	NOUN
ejpam-5725	297	5	to	to	ADP
ejpam-5725	297	6	hadamard	hadamard	PROPN
ejpam-5725	297	7	’s	’s	PART
ejpam-5725	297	8	inequalities	inequality	NOUN
ejpam-5725	297	9	.	.	PUNCT
ejpam-5725	298	1	j.	j.	PROPN
ejpam-5725	298	2	math	math	PROPN
ejpam-5725	298	3	.	.	PUNCT
ejpam-5725	299	1	anal	anal	PROPN
ejpam-5725	299	2	.	.	PUNCT
ejpam-5725	300	1	appl	appl	PROPN
ejpam-5725	300	2	,	,	PUNCT
ejpam-5725	300	3	167(1):49–56	167(1):49–56	NOUN
ejpam-5725	300	4	,	,	PUNCT
ejpam-5725	300	5	1992	1992	NUM
ejpam-5725	300	6	.	.	PUNCT
ejpam-5725	301	1	[	[	X
ejpam-5725	301	2	9	9	NUM
ejpam-5725	301	3	]	]	PUNCT
ejpam-5725	301	4	ss	ss	NOUN
ejpam-5725	301	5	dragomir	dragomir	NOUN
ejpam-5725	301	6	and	and	CCONJ
ejpam-5725	301	7	rp0938	rp0938	PROPN
ejpam-5725	301	8	agarwal	agarwal	PROPN
ejpam-5725	301	9	.	.	PUNCT
ejpam-5725	302	1	two	two	NUM
ejpam-5725	302	2	inequalities	inequality	NOUN
ejpam-5725	302	3	for	for	ADP
ejpam-5725	302	4	differentiable	differentiable	ADJ
ejpam-5725	302	5	mappings	mapping	NOUN
ejpam-5725	302	6	and	and	CCONJ
ejpam-5725	302	7	applications	application	NOUN
ejpam-5725	302	8	to	to	ADP
ejpam-5725	302	9	special	special	ADJ
ejpam-5725	302	10	means	mean	NOUN
ejpam-5725	302	11	of	of	ADP
ejpam-5725	302	12	real	real	ADJ
ejpam-5725	302	13	numbers	number	NOUN
ejpam-5725	302	14	and	and	CCONJ
ejpam-5725	302	15	to	to	ADP
ejpam-5725	302	16	trapezoidal	trapezoidal	ADJ
ejpam-5725	302	17	formula	formula	NOUN
ejpam-5725	302	18	.	.	PUNCT
ejpam-5725	303	1	applied	apply	VERB
ejpam-5725	303	2	mathematics	mathematics	NOUN
ejpam-5725	303	3	letters	letter	NOUN
ejpam-5725	303	4	,	,	PUNCT
ejpam-5725	303	5	11(5):91–95	11(5):91–95	NUM
ejpam-5725	303	6	,	,	PUNCT
ejpam-5725	303	7	1998	1998	NUM
ejpam-5725	303	8	.	.	PUNCT
ejpam-5725	304	1	[	[	X
ejpam-5725	304	2	10	10	NUM
ejpam-5725	304	3	]	]	X
ejpam-5725	304	4	ek	ek	PROPN
ejpam-5725	304	5	godunova	godunova	PROPN
ejpam-5725	304	6	.	.	PUNCT
ejpam-5725	305	1	inequalities	inequality	NOUN
ejpam-5725	305	2	for	for	ADP
ejpam-5725	305	3	functions	function	NOUN
ejpam-5725	305	4	of	of	ADP
ejpam-5725	305	5	a	a	DET
ejpam-5725	305	6	broad	broad	ADJ
ejpam-5725	305	7	class	class	NOUN
ejpam-5725	305	8	that	that	PRON
ejpam-5725	305	9	contains	contain	VERB
ejpam-5725	305	10	convex	convex	NOUN
ejpam-5725	305	11	,	,	PUNCT
ejpam-5725	305	12	monotone	monotone	ADJ
ejpam-5725	305	13	and	and	CCONJ
ejpam-5725	305	14	some	some	DET
ejpam-5725	305	15	other	other	ADJ
ejpam-5725	305	16	forms	form	NOUN
ejpam-5725	305	17	of	of	ADP
ejpam-5725	305	18	functions	function	NOUN
ejpam-5725	305	19	.	.	PUNCT
ejpam-5725	306	1	numerical	numerical	ADJ
ejpam-5725	306	2	mathematics	mathematics	PROPN
ejpam-5725	306	3	and	and	CCONJ
ejpam-5725	306	4	mathematical	mathematical	ADJ
ejpam-5725	306	5	physics	physics	NOUN
ejpam-5725	306	6	,	,	PUNCT
ejpam-5725	306	7	138:166	138:166	NUM
ejpam-5725	306	8	,	,	PUNCT
ejpam-5725	306	9	1985	1985	NUM
ejpam-5725	306	10	.	.	PUNCT
ejpam-5725	307	1	[	[	X
ejpam-5725	307	2	11	11	NUM
ejpam-5725	307	3	]	]	PUNCT
ejpam-5725	307	4	rudolf	rudolf	NOUN
ejpam-5725	307	5	gorenflo	gorenflo	NOUN
ejpam-5725	307	6	,	,	PUNCT
ejpam-5725	307	7	anatoly	anatoly	PROPN
ejpam-5725	307	8	a	a	DET
ejpam-5725	307	9	kilbas	kilbas	PROPN
ejpam-5725	307	10	,	,	PUNCT
ejpam-5725	307	11	francesco	francesco	PROPN
ejpam-5725	307	12	mainardi	mainardi	PROPN
ejpam-5725	307	13	,	,	PUNCT
ejpam-5725	307	14	sergei	sergei	PROPN
ejpam-5725	307	15	v	v	NUM
ejpam-5725	307	16	rogosin	rogosin	PROPN
ejpam-5725	307	17	,	,	PUNCT
ejpam-5725	307	18	et	et	PROPN
ejpam-5725	307	19	al	al	PROPN
ejpam-5725	307	20	.	.	PROPN
ejpam-5725	307	21	mittag	mittag	ADJ
ejpam-5725	307	22	-	-	PUNCT
ejpam-5725	307	23	leffler	leffler	NOUN
ejpam-5725	307	24	functions	function	NOUN
ejpam-5725	307	25	,	,	PUNCT
ejpam-5725	307	26	related	relate	VERB
ejpam-5725	307	27	topics	topic	NOUN
ejpam-5725	307	28	and	and	CCONJ
ejpam-5725	307	29	applications	application	NOUN
ejpam-5725	307	30	.	.	PUNCT
ejpam-5725	308	1	springer	springer	NOUN
ejpam-5725	308	2	,	,	PUNCT
ejpam-5725	308	3	2020	2020	NUM
ejpam-5725	308	4	.	.	PUNCT
ejpam-5725	309	1	[	[	X
ejpam-5725	309	2	12	12	NUM
ejpam-5725	309	3	]	]	PUNCT
ejpam-5725	309	4	rudolf	rudolf	NOUN
ejpam-5725	309	5	gorenflo	gorenflo	NOUN
ejpam-5725	309	6	and	and	CCONJ
ejpam-5725	309	7	francesco	francesco	PROPN
ejpam-5725	309	8	mainardi	mainardi	PROPN
ejpam-5725	309	9	.	.	PUNCT
ejpam-5725	310	1	fractional	fractional	ADJ
ejpam-5725	310	2	calculus	calculus	NOUN
ejpam-5725	310	3	:	:	PUNCT
ejpam-5725	310	4	integral	integral	ADJ
ejpam-5725	310	5	and	and	CCONJ
ejpam-5725	310	6	differential	differential	ADJ
ejpam-5725	310	7	equations	equation	NOUN
ejpam-5725	310	8	of	of	ADP
ejpam-5725	310	9	fractional	fractional	ADJ
ejpam-5725	310	10	order	order	NOUN
ejpam-5725	310	11	.	.	PUNCT
ejpam-5725	311	1	springer	springer	NOUN
ejpam-5725	311	2	,	,	PUNCT
ejpam-5725	311	3	1997	1997	NUM
ejpam-5725	311	4	.	.	PUNCT
ejpam-5725	312	1	[	[	X
ejpam-5725	312	2	13	13	NUM
ejpam-5725	312	3	]	]	PUNCT
ejpam-5725	312	4	morgan	morgan	PROPN
ejpam-5725	312	5	a	a	DET
ejpam-5725	312	6	hanson	hanson	PROPN
ejpam-5725	312	7	.	.	PUNCT
ejpam-5725	313	1	on	on	ADP
ejpam-5725	313	2	sufficiency	sufficiency	NOUN
ejpam-5725	313	3	of	of	ADP
ejpam-5725	313	4	the	the	DET
ejpam-5725	313	5	kuhn	kuhn	PROPN
ejpam-5725	313	6	-	-	PUNCT
ejpam-5725	313	7	tucker	tucker	PROPN
ejpam-5725	313	8	conditions	condition	NOUN
ejpam-5725	313	9	.	.	PUNCT
ejpam-5725	314	1	j.	j.	PROPN
ejpam-5725	314	2	math	math	PROPN
ejpam-5725	314	3	.	.	PUNCT
ejpam-5725	315	1	anal	anal	PROPN
ejpam-5725	315	2	.	.	PUNCT
ejpam-5725	316	1	appl	appl	PROPN
ejpam-5725	316	2	,	,	PUNCT
ejpam-5725	316	3	80(2):545–550	80(2):545–550	NUM
ejpam-5725	316	4	,	,	PUNCT
ejpam-5725	316	5	1981	1981	NUM
ejpam-5725	316	6	.	.	PUNCT
ejpam-5725	317	1	[	[	X
ejpam-5725	317	2	14	14	NUM
ejpam-5725	317	3	]	]	X
ejpam-5725	317	4	ks	ks	PROPN
ejpam-5725	317	5	miller	miller	PROPN
ejpam-5725	317	6	.	.	PUNCT
ejpam-5725	318	1	an	an	DET
ejpam-5725	318	2	introduction	introduction	NOUN
ejpam-5725	318	3	to	to	ADP
ejpam-5725	318	4	the	the	DET
ejpam-5725	318	5	fractional	fractional	ADJ
ejpam-5725	318	6	calculus	calculus	NOUN
ejpam-5725	318	7	and	and	CCONJ
ejpam-5725	318	8	fractional	fractional	ADJ
ejpam-5725	318	9	differential	differential	ADJ
ejpam-5725	318	10	equations	equation	NOUN
ejpam-5725	318	11	.	.	PUNCT
ejpam-5725	319	1	john	john	PROPN
ejpam-5725	319	2	willey	willey	PROPN
ejpam-5725	319	3	&	&	CCONJ
ejpam-5725	319	4	sons	son	NOUN
ejpam-5725	319	5	,	,	PUNCT
ejpam-5725	319	6	1993	1993	NUM
ejpam-5725	319	7	.	.	PUNCT
ejpam-5725	320	1	[	[	X
ejpam-5725	320	2	15	15	NUM
ejpam-5725	320	3	]	]	X
ejpam-5725	320	4	dragoslav	dragoslav	NOUN
ejpam-5725	320	5	s	s	VERB
ejpam-5725	320	6	mitrinovic	mitrinovic	ADJ
ejpam-5725	320	7	,	,	PUNCT
ejpam-5725	320	8	josip	josip	PROPN
ejpam-5725	320	9	pecaric	pecaric	NOUN
ejpam-5725	320	10	,	,	PUNCT
ejpam-5725	320	11	and	and	CCONJ
ejpam-5725	320	12	arlington	arlington	PROPN
ejpam-5725	320	13	m	m	PROPN
ejpam-5725	320	14	fink	fink	PROPN
ejpam-5725	320	15	.	.	PUNCT
ejpam-5725	321	1	classical	classical	ADJ
ejpam-5725	321	2	and	and	CCONJ
ejpam-5725	321	3	new	new	ADJ
ejpam-5725	321	4	inequalities	inequality	NOUN
ejpam-5725	321	5	in	in	ADP
ejpam-5725	321	6	analysis	analysis	NOUN
ejpam-5725	321	7	,	,	PUNCT
ejpam-5725	321	8	volume	volume	NOUN
ejpam-5725	321	9	61	61	NUM
ejpam-5725	321	10	.	.	PUNCT
ejpam-5725	322	1	springer	springer	NOUN
ejpam-5725	322	2	science	science	PROPN
ejpam-5725	322	3	&	&	CCONJ
ejpam-5725	322	4	business	business	NOUN
ejpam-5725	322	5	media	medium	NOUN
ejpam-5725	322	6	,	,	PUNCT
ejpam-5725	322	7	2013	2013	NUM
ejpam-5725	322	8	.	.	PUNCT
ejpam-5725	323	1	[	[	X
ejpam-5725	323	2	16	16	NUM
ejpam-5725	323	3	]	]	X
ejpam-5725	323	4	pshtiwan	pshtiwan	PROPN
ejpam-5725	323	5	othman	othman	PROPN
ejpam-5725	323	6	mohammed	mohammed	PROPN
ejpam-5725	323	7	and	and	CCONJ
ejpam-5725	323	8	thabet	thabet	ADJ
ejpam-5725	323	9	abdeljawad	abdeljawad	NOUN
ejpam-5725	323	10	.	.	PUNCT
ejpam-5725	324	1	integral	integral	ADJ
ejpam-5725	324	2	inequalities	inequality	NOUN
ejpam-5725	324	3	for	for	ADP
ejpam-5725	324	4	a	a	DET
ejpam-5725	324	5	fractional	fractional	ADJ
ejpam-5725	324	6	operator	operator	NOUN
ejpam-5725	324	7	of	of	ADP
ejpam-5725	324	8	a	a	DET
ejpam-5725	324	9	function	function	NOUN
ejpam-5725	324	10	with	with	ADP
ejpam-5725	324	11	respect	respect	NOUN
ejpam-5725	324	12	to	to	ADP
ejpam-5725	324	13	another	another	DET
ejpam-5725	324	14	function	function	NOUN
ejpam-5725	324	15	with	with	ADP
ejpam-5725	324	16	nonsingular	nonsingular	ADJ
ejpam-5725	324	17	kernel	kernel	PROPN
ejpam-5725	324	18	.	.	PUNCT
ejpam-5725	325	1	advances	advance	NOUN
ejpam-5725	325	2	in	in	ADP
ejpam-5725	325	3	difference	difference	NOUN
ejpam-5725	325	4	equations	equation	NOUN
ejpam-5725	325	5	,	,	PUNCT
ejpam-5725	325	6	2020(1):363	2020(1):363	NUM
ejpam-5725	325	7	,	,	PUNCT
ejpam-5725	325	8	2020	2020	NUM
ejpam-5725	325	9	.	.	PUNCT
ejpam-5725	326	1	[	[	X
ejpam-5725	326	2	17	17	NUM
ejpam-5725	326	3	]	]	X
ejpam-5725	326	4	shahid	shahid	PROPN
ejpam-5725	326	5	mubeen	mubeen	PROPN
ejpam-5725	326	6	,	,	PUNCT
ejpam-5725	326	7	rana	rana	PROPN
ejpam-5725	326	8	safdar	safdar	PROPN
ejpam-5725	326	9	ali	ali	PROPN
ejpam-5725	326	10	,	,	PUNCT
ejpam-5725	326	11	iqra	iqra	PROPN
ejpam-5725	326	12	nayab	nayab	PROPN
ejpam-5725	326	13	,	,	PUNCT
ejpam-5725	326	14	gauhar	gauhar	PROPN
ejpam-5725	326	15	rahman	rahman	PROPN
ejpam-5725	326	16	,	,	PUNCT
ejpam-5725	326	17	thabet	thabet	ADJ
ejpam-5725	326	18	abdeljawad	abdeljawad	NOUN
ejpam-5725	326	19	,	,	PUNCT
ejpam-5725	326	20	and	and	CCONJ
ejpam-5725	326	21	kottakkaran	kottakkaran	VERB
ejpam-5725	326	22	sooppy	sooppy	ADJ
ejpam-5725	326	23	nisar	nisar	PROPN
ejpam-5725	326	24	.	.	PUNCT
ejpam-5725	327	1	integral	integral	ADJ
ejpam-5725	327	2	transforms	transform	NOUN
ejpam-5725	327	3	of	of	ADP
ejpam-5725	327	4	an	an	DET
ejpam-5725	327	5	extended	extended	ADJ
ejpam-5725	327	6	generalized	generalize	VERB
ejpam-5725	327	7	multiindex	multiindex	NOUN
ejpam-5725	327	8	bessel	bessel	NOUN
ejpam-5725	327	9	function	function	NOUN
ejpam-5725	327	10	.	.	PUNCT
ejpam-5725	328	1	aims	aim	VERB
ejpam-5725	328	2	mathematics	mathematic	NOUN
ejpam-5725	328	3	,	,	PUNCT
ejpam-5725	328	4	5(6):7531–7546	5(6):7531–7546	PROPN
ejpam-5725	328	5	,	,	PUNCT
ejpam-5725	328	6	2020	2020	NUM
ejpam-5725	328	7	.	.	PUNCT
ejpam-5725	329	1	[	[	X
ejpam-5725	329	2	18	18	NUM
ejpam-5725	329	3	]	]	PUNCT
ejpam-5725	329	4	kottakkaran	kottakkaran	VERB
ejpam-5725	329	5	sooppy	sooppy	ADJ
ejpam-5725	329	6	nisar	nisar	PROPN
ejpam-5725	329	7	,	,	PUNCT
ejpam-5725	329	8	gauhar	gauhar	PROPN
ejpam-5725	329	9	rahman	rahman	PROPN
ejpam-5725	329	10	,	,	PUNCT
ejpam-5725	329	11	and	and	CCONJ
ejpam-5725	329	12	khaled	khaled	PROPN
ejpam-5725	329	13	mehrez	mehrez	PROPN
ejpam-5725	329	14	.	.	PUNCT
ejpam-5725	330	1	chebyshev	chebyshev	PROPN
ejpam-5725	330	2	type	type	NOUN
ejpam-5725	330	3	inequalities	inequality	NOUN
ejpam-5725	330	4	via	via	ADP
ejpam-5725	330	5	generalized	generalized	ADJ
ejpam-5725	330	6	fractional	fractional	ADJ
ejpam-5725	330	7	conformable	conformable	ADJ
ejpam-5725	330	8	integrals	integral	NOUN
ejpam-5725	330	9	.	.	PUNCT
ejpam-5725	331	1	journal	journal	NOUN
ejpam-5725	331	2	of	of	ADP
ejpam-5725	331	3	inequalities	inequality	NOUN
ejpam-5725	331	4	and	and	CCONJ
ejpam-5725	331	5	applications	application	NOUN
ejpam-5725	331	6	,	,	PUNCT
ejpam-5725	331	7	2019(1):245	2019(1):245	NUM
ejpam-5725	331	8	,	,	PUNCT
ejpam-5725	331	9	2019	2019	NUM
ejpam-5725	331	10	.	.	PUNCT
ejpam-5725	332	1	[	[	X
ejpam-5725	332	2	19	19	NUM
ejpam-5725	332	3	]	]	PUNCT
ejpam-5725	332	4	kottakkaran	kottakkaran	VERB
ejpam-5725	332	5	sooppy	sooppy	ADJ
ejpam-5725	332	6	nisar	nisar	PROPN
ejpam-5725	332	7	,	,	PUNCT
ejpam-5725	332	8	asifa	asifa	PROPN
ejpam-5725	332	9	tassaddiq	tassaddiq	NOUN
ejpam-5725	332	10	,	,	PUNCT
ejpam-5725	332	11	gauhar	gauhar	PROPN
ejpam-5725	332	12	rahman	rahman	PROPN
ejpam-5725	332	13	,	,	PUNCT
ejpam-5725	332	14	and	and	CCONJ
ejpam-5725	332	15	aftab	aftab	PROPN
ejpam-5725	332	16	khan	khan	PROPN
ejpam-5725	332	17	.	.	PUNCT
ejpam-5725	333	1	some	some	DET
ejpam-5725	333	2	inequalities	inequality	NOUN
ejpam-5725	333	3	via	via	ADP
ejpam-5725	333	4	fractional	fractional	ADJ
ejpam-5725	333	5	conformable	conformable	ADJ
ejpam-5725	333	6	integral	integral	ADJ
ejpam-5725	333	7	operators	operator	NOUN
ejpam-5725	333	8	.	.	PUNCT
ejpam-5725	334	1	journal	journal	PROPN
ejpam-5725	334	2	of	of	ADP
ejpam-5725	334	3	inequalities	inequality	NOUN
ejpam-5725	334	4	and	and	CCONJ
ejpam-5725	334	5	applications	application	NOUN
ejpam-5725	334	6	,	,	PUNCT
ejpam-5725	334	7	2019(1):217	2019(1):217	NUM
ejpam-5725	334	8	,	,	PUNCT
ejpam-5725	334	9	2019	2019	NUM
ejpam-5725	334	10	.	.	PUNCT
ejpam-5725	335	1	[	[	X
ejpam-5725	335	2	20	20	NUM
ejpam-5725	335	3	]	]	X
ejpam-5725	335	4	m	m	VERB
ejpam-5725	335	5	emin	emin	PROPN
ejpam-5725	335	6	özdemir	özdemir	PROPN
ejpam-5725	335	7	.	.	PUNCT
ejpam-5725	336	1	some	some	DET
ejpam-5725	336	2	inequalities	inequality	NOUN
ejpam-5725	336	3	for	for	ADP
ejpam-5725	336	4	the	the	DET
ejpam-5725	336	5	s	s	PROPN
ejpam-5725	336	6	-	-	PUNCT
ejpam-5725	336	7	godunova	godunova	ADJ
ejpam-5725	336	8	–	–	PUNCT
ejpam-5725	336	9	levin	levin	PROPN
ejpam-5725	336	10	type	type	NOUN
ejpam-5725	336	11	functions	function	NOUN
ejpam-5725	336	12	.	.	PUNCT
ejpam-5725	337	1	mathematical	mathematical	ADJ
ejpam-5725	337	2	sciences	sciences	PROPN
ejpam-5725	337	3	,	,	PUNCT
ejpam-5725	337	4	9(1):27–32	9(1):27–32	NUM
ejpam-5725	337	5	,	,	PUNCT
ejpam-5725	337	6	2015	2015	NUM
ejpam-5725	337	7	.	.	PUNCT
ejpam-5725	338	1	[	[	X
ejpam-5725	338	2	21	21	NUM
ejpam-5725	338	3	]	]	X
ejpam-5725	338	4	feng	feng	PROPN
ejpam-5725	338	5	qi	qi	PROPN
ejpam-5725	338	6	,	,	PUNCT
ejpam-5725	338	7	gauhar	gauhar	PROPN
ejpam-5725	338	8	rahman	rahman	PROPN
ejpam-5725	338	9	,	,	PUNCT
ejpam-5725	338	10	sardar	sardar	PROPN
ejpam-5725	338	11	muhammad	muhammad	PROPN
ejpam-5725	338	12	hussain	hussain	PROPN
ejpam-5725	338	13	,	,	PUNCT
ejpam-5725	338	14	wei	wei	PROPN
ejpam-5725	338	15	-	-	PUNCT
ejpam-5725	338	16	shih	shih	PROPN
ejpam-5725	338	17	du	du	PROPN
ejpam-5725	338	18	,	,	PUNCT
ejpam-5725	338	19	and	and	CCONJ
ejpam-5725	338	20	kotr	kotr	NOUN
ejpam-5725	338	21	.	.	PUNCT
ejpam-5725	339	1	s.	s.	PROPN
ejpam-5725	339	2	ali	ali	PROPN
ejpam-5725	339	3	et	et	PROPN
ejpam-5725	339	4	al	al	PROPN
ejpam-5725	339	5	.	.	PUNCT
ejpam-5725	339	6	/	/	SYM
ejpam-5725	339	7	eur	eur	PROPN
ejpam-5725	339	8	.	.	PUNCT
ejpam-5725	340	1	j.	j.	PROPN
ejpam-5725	340	2	pure	pure	PROPN
ejpam-5725	340	3	appl	appl	PROPN
ejpam-5725	340	4	.	.	PROPN
ejpam-5725	340	5	math	math	PROPN
ejpam-5725	340	6	,	,	PUNCT
ejpam-5725	340	7	18	18	NUM
ejpam-5725	340	8	(	(	PUNCT
ejpam-5725	340	9	1	1	NUM
ejpam-5725	340	10	)	)	PUNCT
ejpam-5725	340	11	(	(	PUNCT
ejpam-5725	340	12	2025	2025	NUM
ejpam-5725	340	13	)	)	PUNCT
ejpam-5725	340	14	,	,	PUNCT
ejpam-5725	340	15	5725	5725	NUM
ejpam-5725	340	16	14	14	NUM
ejpam-5725	340	17	of	of	ADP
ejpam-5725	340	18	14	14	NUM
ejpam-5725	340	19	takkaran	takkaran	NOUN
ejpam-5725	340	20	sooppy	sooppy	ADJ
ejpam-5725	340	21	nisar	nisar	ADV
ejpam-5725	340	22	.	.	PUNCT
ejpam-5725	341	1	some	some	DET
ejpam-5725	341	2	inequalities	inequality	NOUN
ejpam-5725	341	3	of	of	ADP
ejpam-5725	341	4	čebyšev	čebyšev	PROPN
ejpam-5725	341	5	type	type	NOUN
ejpam-5725	341	6	for	for	ADP
ejpam-5725	341	7	conformable	conformable	ADJ
ejpam-5725	341	8	k	k	ADJ
ejpam-5725	341	9	-	-	ADJ
ejpam-5725	341	10	fractional	fractional	ADJ
ejpam-5725	341	11	integral	integral	ADJ
ejpam-5725	341	12	operators	operator	NOUN
ejpam-5725	341	13	.	.	PUNCT
ejpam-5725	342	1	symmetry	symmetry	NOUN
ejpam-5725	342	2	,	,	PUNCT
ejpam-5725	342	3	10(11):614	10(11):614	NUM
ejpam-5725	342	4	,	,	PUNCT
ejpam-5725	342	5	2018	2018	NUM
ejpam-5725	342	6	.	.	PUNCT
ejpam-5725	343	1	[	[	X
ejpam-5725	343	2	22	22	NUM
ejpam-5725	343	3	]	]	X
ejpam-5725	343	4	gauhar	gauhar	PROPN
ejpam-5725	343	5	rahman	rahman	PROPN
ejpam-5725	343	6	,	,	PUNCT
ejpam-5725	343	7	kottakkaran	kottakkaran	VERB
ejpam-5725	343	8	sooppy	sooppy	ADJ
ejpam-5725	343	9	nisar	nisar	PROPN
ejpam-5725	343	10	,	,	PUNCT
ejpam-5725	343	11	abdul	abdul	PROPN
ejpam-5725	343	12	ghaffar	ghaffar	PROPN
ejpam-5725	343	13	,	,	PUNCT
ejpam-5725	343	14	and	and	CCONJ
ejpam-5725	343	15	feng	feng	PROPN
ejpam-5725	343	16	qi	qi	PROPN
ejpam-5725	343	17	.	.	PUNCT
ejpam-5725	344	1	some	some	DET
ejpam-5725	344	2	inequalities	inequality	NOUN
ejpam-5725	344	3	of	of	ADP
ejpam-5725	344	4	the	the	DET
ejpam-5725	344	5	grüss	grüss	PROPN
ejpam-5725	344	6	type	type	NOUN
ejpam-5725	344	7	for	for	ADP
ejpam-5725	344	8	conformable	conformable	ADJ
ejpam-5725	344	9	k	k	ADJ
ejpam-5725	344	10	-	-	ADJ
ejpam-5725	344	11	fractional	fractional	ADJ
ejpam-5725	344	12	integral	integral	ADJ
ejpam-5725	344	13	operators	operator	NOUN
ejpam-5725	344	14	.	.	PUNCT
ejpam-5725	345	1	revista	revista	PROPN
ejpam-5725	345	2	de	de	X
ejpam-5725	345	3	la	la	PROPN
ejpam-5725	345	4	real	real	PROPN
ejpam-5725	345	5	academia	academia	PROPN
ejpam-5725	345	6	de	de	PROPN
ejpam-5725	345	7	ciencias	ciencias	PROPN
ejpam-5725	345	8	exactas	exacta	NOUN
ejpam-5725	345	9	,	,	PUNCT
ejpam-5725	345	10	fisicas	fisicas	PROPN
ejpam-5725	345	11	y	y	PROPN
ejpam-5725	345	12	naturales	naturales	PROPN
ejpam-5725	345	13	.	.	PUNCT
ejpam-5725	346	1	serie	serie	PROPN
ejpam-5725	346	2	a.	a.	PROPN
ejpam-5725	346	3	matematicas	matematicas	PROPN
ejpam-5725	346	4	,	,	PUNCT
ejpam-5725	346	5	114(1):9	114(1):9	NUM
ejpam-5725	346	6	,	,	PUNCT
ejpam-5725	346	7	2020	2020	NUM
ejpam-5725	346	8	.	.	PUNCT
ejpam-5725	347	1	[	[	X
ejpam-5725	347	2	23	23	NUM
ejpam-5725	347	3	]	]	X
ejpam-5725	347	4	gauhar	gauhar	PROPN
ejpam-5725	347	5	rahman	rahman	PROPN
ejpam-5725	347	6	,	,	PUNCT
ejpam-5725	347	7	sooppy	sooppy	ADJ
ejpam-5725	347	8	nisar	nisar	ADV
ejpam-5725	347	9	,	,	PUNCT
ejpam-5725	347	10	and	and	CCONJ
ejpam-5725	347	11	feng	feng	PROPN
ejpam-5725	347	12	qi	qi	PROPN
ejpam-5725	347	13	.	.	PUNCT
ejpam-5725	348	1	some	some	DET
ejpam-5725	348	2	new	new	ADJ
ejpam-5725	348	3	inequalities	inequality	NOUN
ejpam-5725	348	4	of	of	ADP
ejpam-5725	348	5	the	the	DET
ejpam-5725	348	6	grüss	grüss	PROPN
ejpam-5725	348	7	type	type	NOUN
ejpam-5725	348	8	for	for	ADP
ejpam-5725	348	9	conformable	conformable	ADJ
ejpam-5725	348	10	fractional	fractional	ADJ
ejpam-5725	348	11	integrals	integral	NOUN
ejpam-5725	348	12	.	.	PUNCT
ejpam-5725	349	1	aims	aim	VERB
ejpam-5725	349	2	mathematics	mathematic	NOUN
ejpam-5725	349	3	,	,	PUNCT
ejpam-5725	349	4	3(4):575–583	3(4):575–583	NOUN
ejpam-5725	349	5	,	,	PUNCT
ejpam-5725	349	6	2018	2018	NUM
ejpam-5725	349	7	.	.	PUNCT
ejpam-5725	350	1	[	[	X
ejpam-5725	350	2	24	24	NUM
ejpam-5725	350	3	]	]	X
ejpam-5725	350	4	m	m	PROPN
ejpam-5725	350	5	rostamian	rostamian	PROPN
ejpam-5725	350	6	delavar	delavar	NOUN
ejpam-5725	350	7	,	,	PUNCT
ejpam-5725	350	8	s	s	VERB
ejpam-5725	350	9	mohammadi	mohammadi	NOUN
ejpam-5725	350	10	aslani	aslani	NOUN
ejpam-5725	350	11	,	,	PUNCT
ejpam-5725	350	12	and	and	CCONJ
ejpam-5725	350	13	m	m	PROPN
ejpam-5725	350	14	de	de	X
ejpam-5725	350	15	la	la	PROPN
ejpam-5725	350	16	sen	sen	PROPN
ejpam-5725	350	17	.	.	PROPN
ejpam-5725	350	18	hermite	hermite	PROPN
ejpam-5725	350	19	-	-	PUNCT
ejpam-5725	350	20	hadamardfejér	hadamardfejér	PROPN
ejpam-5725	350	21	inequality	inequality	NOUN
ejpam-5725	350	22	related	relate	VERB
ejpam-5725	350	23	to	to	ADP
ejpam-5725	350	24	generalized	generalized	ADJ
ejpam-5725	350	25	convex	convex	NOUN
ejpam-5725	350	26	functions	function	NOUN
ejpam-5725	350	27	via	via	ADP
ejpam-5725	350	28	fractional	fractional	ADJ
ejpam-5725	350	29	integrals	integral	NOUN
ejpam-5725	350	30	.	.	PUNCT
ejpam-5725	351	1	journal	journal	NOUN
ejpam-5725	351	2	of	of	ADP
ejpam-5725	351	3	mathematics	mathematic	NOUN
ejpam-5725	351	4	,	,	PUNCT
ejpam-5725	351	5	2018(1):5864091	2018(1):5864091	NOUN
ejpam-5725	351	6	,	,	PUNCT
ejpam-5725	351	7	2018	2018	NUM
ejpam-5725	351	8	.	.	PUNCT
ejpam-5725	352	1	[	[	X
ejpam-5725	352	2	25	25	NUM
ejpam-5725	352	3	]	]	PUNCT
ejpam-5725	352	4	muhammad	muhammad	PROPN
ejpam-5725	352	5	tariq	tariq	PROPN
ejpam-5725	352	6	,	,	PUNCT
ejpam-5725	352	7	sotiris	sotiris	NOUN
ejpam-5725	352	8	k	k	PROPN
ejpam-5725	352	9	ntouyas	ntouyas	PROPN
ejpam-5725	352	10	,	,	PUNCT
ejpam-5725	352	11	and	and	CCONJ
ejpam-5725	352	12	asif	asif	PROPN
ejpam-5725	352	13	ali	ali	PROPN
ejpam-5725	352	14	shaikh	shaikh	PROPN
ejpam-5725	352	15	.	.	PUNCT
ejpam-5725	353	1	a	a	DET
ejpam-5725	353	2	comprehensive	comprehensive	ADJ
ejpam-5725	353	3	review	review	NOUN
ejpam-5725	353	4	of	of	ADP
ejpam-5725	353	5	the	the	DET
ejpam-5725	353	6	hermite	hermite	ADJ
ejpam-5725	353	7	–	–	PUNCT
ejpam-5725	353	8	hadamard	hadamard	ADJ
ejpam-5725	353	9	inequality	inequality	NOUN
ejpam-5725	353	10	pertaining	pertain	VERB
ejpam-5725	353	11	to	to	ADP
ejpam-5725	353	12	fractional	fractional	ADJ
ejpam-5725	353	13	integral	integral	ADJ
ejpam-5725	353	14	operators	operator	NOUN
ejpam-5725	353	15	.	.	PUNCT
ejpam-5725	354	1	mathematics	mathematic	NOUN
ejpam-5725	354	2	,	,	PUNCT
ejpam-5725	354	3	11(8):1953	11(8):1953	NUM
ejpam-5725	354	4	,	,	PUNCT
ejpam-5725	354	5	2023	2023	NUM
ejpam-5725	354	6	.	.	PUNCT
ejpam-5725	355	1	[	[	X
ejpam-5725	355	2	26	26	NUM
ejpam-5725	355	3	]	]	X
ejpam-5725	355	4	sanja	sanja	PROPN
ejpam-5725	355	5	varošanec	varošanec	PROPN
ejpam-5725	355	6	.	.	PUNCT
ejpam-5725	356	1	on	on	ADP
ejpam-5725	356	2	h	h	NOUN
ejpam-5725	356	3	-	-	PUNCT
ejpam-5725	356	4	convexity	convexity	NOUN
ejpam-5725	356	5	.	.	PUNCT
ejpam-5725	357	1	journal	journal	PROPN
ejpam-5725	357	2	of	of	ADP
ejpam-5725	357	3	mathematical	mathematical	ADJ
ejpam-5725	357	4	analysis	analysis	NOUN
ejpam-5725	357	5	and	and	CCONJ
ejpam-5725	357	6	applications	application	NOUN
ejpam-5725	357	7	,	,	PUNCT
ejpam-5725	357	8	326(1):303–311	326(1):303–311	NUM
ejpam-5725	357	9	,	,	PUNCT
ejpam-5725	357	10	2007	2007	NUM
ejpam-5725	357	11	.	.	PUNCT
ejpam-5725	358	1	[	[	X
ejpam-5725	358	2	27	27	NUM
ejpam-5725	358	3	]	]	X
ejpam-5725	358	4	t	t	PROPN
ejpam-5725	358	5	weir	weir	PROPN
ejpam-5725	358	6	and	and	CCONJ
ejpam-5725	358	7	v	v	ADP
ejpam-5725	358	8	jeyakumar	jeyakumar	PROPN
ejpam-5725	358	9	.	.	PUNCT
ejpam-5725	359	1	a	a	DET
ejpam-5725	359	2	class	class	NOUN
ejpam-5725	359	3	of	of	ADP
ejpam-5725	359	4	nonconvex	nonconvex	NOUN
ejpam-5725	359	5	functions	function	NOUN
ejpam-5725	359	6	and	and	CCONJ
ejpam-5725	359	7	mathematical	mathematical	ADJ
ejpam-5725	359	8	programming	programming	NOUN
ejpam-5725	359	9	.	.	PUNCT
ejpam-5725	360	1	bulletin	bulletin	NOUN
ejpam-5725	360	2	of	of	ADP
ejpam-5725	360	3	the	the	DET
ejpam-5725	360	4	australian	australian	ADJ
ejpam-5725	360	5	mathematical	mathematical	ADJ
ejpam-5725	360	6	society	society	NOUN
ejpam-5725	360	7	,	,	PUNCT
ejpam-5725	360	8	38(2):177–189	38(2):177–189	PROPN
ejpam-5725	360	9	,	,	PUNCT
ejpam-5725	360	10	1988	1988	NUM
ejpam-5725	360	11	.	.	PUNCT
ejpam-5725	361	1	[	[	X
ejpam-5725	361	2	28	28	NUM
ejpam-5725	361	3	]	]	X
ejpam-5725	361	4	t	t	PROPN
ejpam-5725	361	5	weir	weir	PROPN
ejpam-5725	361	6	and	and	CCONJ
ejpam-5725	361	7	b	b	PRON
ejpam-5725	361	8	mond	mond	NOUN
ejpam-5725	361	9	.	.	PUNCT
ejpam-5725	362	1	pre	pre	ADJ
ejpam-5725	362	2	-	-	ADJ
ejpam-5725	362	3	invex	invex	ADJ
ejpam-5725	362	4	functions	function	NOUN
ejpam-5725	362	5	in	in	ADP
ejpam-5725	362	6	multiple	multiple	ADJ
ejpam-5725	362	7	objective	objective	ADJ
ejpam-5725	362	8	optimization	optimization	NOUN
ejpam-5725	362	9	.	.	PUNCT
ejpam-5725	363	1	journal	journal	PROPN
ejpam-5725	363	2	of	of	ADP
ejpam-5725	363	3	mathematical	mathematical	ADJ
ejpam-5725	363	4	analysis	analysis	NOUN
ejpam-5725	363	5	and	and	CCONJ
ejpam-5725	363	6	applications	application	NOUN
ejpam-5725	363	7	,	,	PUNCT
ejpam-5725	363	8	136(1):29–38	136(1):29–38	NUM
ejpam-5725	363	9	,	,	PUNCT
ejpam-5725	363	10	1988	1988	NUM
ejpam-5725	363	11	.	.	PUNCT
ejpam-5725	364	1	[	[	X
ejpam-5725	364	2	29	29	NUM
ejpam-5725	364	3	]	]	X
ejpam-5725	364	4	xiao	xiao	PROPN
ejpam-5725	364	5	-	-	PUNCT
ejpam-5725	364	6	jun	jun	PROPN
ejpam-5725	364	7	yang	yang	PROPN
ejpam-5725	364	8	et	et	PROPN
ejpam-5725	364	9	al	al	PROPN
ejpam-5725	364	10	.	.	PROPN
ejpam-5725	364	11	theory	theory	NOUN
ejpam-5725	364	12	and	and	CCONJ
ejpam-5725	364	13	applications	application	NOUN
ejpam-5725	364	14	of	of	ADP
ejpam-5725	364	15	special	special	ADJ
ejpam-5725	364	16	functions	function	NOUN
ejpam-5725	364	17	for	for	ADP
ejpam-5725	364	18	scientists	scientist	NOUN
ejpam-5725	364	19	and	and	CCONJ
ejpam-5725	364	20	engineers	engineer	NOUN
ejpam-5725	364	21	.	.	PUNCT
ejpam-5725	365	1	springer	springer	NOUN
ejpam-5725	365	2	,	,	PUNCT
ejpam-5725	365	3	2021	2021	NUM
ejpam-5725	365	4	.	.	PUNCT