id	sid	tid	token	lemma	pos
ejpam-4689	1	1	european	european	PROPN
ejpam-4689	1	2	journal	journal	PROPN
ejpam-4689	1	3	of	of	ADP
ejpam-4689	1	4	pure	pure	ADJ
ejpam-4689	1	5	and	and	CCONJ
ejpam-4689	1	6	applied	apply	VERB
ejpam-4689	1	7	mathematics	mathematic	NOUN
ejpam-4689	1	8	vol	vol	NOUN
ejpam-4689	1	9	.	.	PUNCT
ejpam-4689	2	1	16	16	NUM
ejpam-4689	2	2	,	,	PUNCT
ejpam-4689	2	3	no	no	INTJ
ejpam-4689	2	4	.	.	NOUN
ejpam-4689	2	5	1	1	NUM
ejpam-4689	2	6	,	,	PUNCT
ejpam-4689	2	7	2023	2023	NUM
ejpam-4689	2	8	,	,	PUNCT
ejpam-4689	2	9	503	503	NUM
ejpam-4689	2	10	-	-	SYM
ejpam-4689	2	11	522	522	NUM
ejpam-4689	2	12	issn	issn	PROPN
ejpam-4689	2	13	1307	1307	NUM
ejpam-4689	2	14	-	-	SYM
ejpam-4689	2	15	5543	5543	NUM
ejpam-4689	2	16	–	–	PUNCT
ejpam-4689	2	17	ejpam.com	ejpam.com	X
ejpam-4689	2	18	published	publish	VERB
ejpam-4689	2	19	by	by	ADP
ejpam-4689	2	20	new	new	PROPN
ejpam-4689	2	21	york	york	PROPN
ejpam-4689	2	22	business	business	PROPN
ejpam-4689	2	23	global	global	ADJ
ejpam-4689	2	24	hermite	hermite	ADJ
ejpam-4689	2	25	hadamard	hadamard	ADJ
ejpam-4689	2	26	type	type	NOUN
ejpam-4689	2	27	inequalities	inequality	NOUN
ejpam-4689	2	28	involving	involve	VERB
ejpam-4689	2	29	(	(	PUNCT
ejpam-4689	2	30	k	k	X
ejpam-4689	2	31	-	-	ADJ
ejpam-4689	2	32	p	p	ADJ
ejpam-4689	2	33	)	)	PUNCT
ejpam-4689	2	34	fractional	fractional	ADJ
ejpam-4689	2	35	operator	operator	NOUN
ejpam-4689	2	36	with	with	ADP
ejpam-4689	2	37	(	(	PUNCT
ejpam-4689	2	38	α	α	NOUN
ejpam-4689	2	39	,	,	PUNCT
ejpam-4689	2	40	h−m)−	h−m)−	PROPN
ejpam-4689	2	41	p	p	PROPN
ejpam-4689	2	42	convexity	convexity	PROPN
ejpam-4689	2	43	vuk	vuk	PROPN
ejpam-4689	2	44	stojiljković	stojiljković	PROPN
ejpam-4689	2	45	faculty	faculty	NOUN
ejpam-4689	2	46	of	of	ADP
ejpam-4689	2	47	science	science	NOUN
ejpam-4689	2	48	,	,	PUNCT
ejpam-4689	2	49	university	university	NOUN
ejpam-4689	2	50	of	of	ADP
ejpam-4689	2	51	novi	novi	PROPN
ejpam-4689	2	52	sad	sad	PROPN
ejpam-4689	2	53	,	,	PUNCT
ejpam-4689	2	54	novi	novi	PROPN
ejpam-4689	2	55	sad	sad	PROPN
ejpam-4689	2	56	,	,	PUNCT
ejpam-4689	2	57	serbia	serbia	PROPN
ejpam-4689	2	58	,	,	PUNCT
ejpam-4689	2	59	serbia	serbia	PROPN
ejpam-4689	2	60	abstract	abstract	ADJ
ejpam-4689	2	61	.	.	PUNCT
ejpam-4689	3	1	we	we	PRON
ejpam-4689	3	2	establish	establish	VERB
ejpam-4689	3	3	various	various	ADJ
ejpam-4689	3	4	fractional	fractional	ADJ
ejpam-4689	3	5	convex	convex	NOUN
ejpam-4689	3	6	inequalities	inequality	NOUN
ejpam-4689	3	7	of	of	ADP
ejpam-4689	3	8	the	the	DET
ejpam-4689	3	9	hermite	hermite	PROPN
ejpam-4689	3	10	-	-	PUNCT
ejpam-4689	3	11	hadamard	hadamard	ADJ
ejpam-4689	3	12	type	type	NOUN
ejpam-4689	3	13	which	which	PRON
ejpam-4689	3	14	generalize	generalize	VERB
ejpam-4689	3	15	the	the	DET
ejpam-4689	3	16	previously	previously	ADV
ejpam-4689	3	17	obtained	obtain	VERB
ejpam-4689	3	18	results	result	NOUN
ejpam-4689	3	19	in	in	ADP
ejpam-4689	3	20	the	the	DET
ejpam-4689	3	21	literature	literature	NOUN
ejpam-4689	3	22	.	.	PUNCT
ejpam-4689	4	1	various	various	ADJ
ejpam-4689	4	2	types	type	NOUN
ejpam-4689	4	3	of	of	ADP
ejpam-4689	4	4	such	such	ADJ
ejpam-4689	4	5	inequalities	inequality	NOUN
ejpam-4689	4	6	are	be	AUX
ejpam-4689	4	7	obtained	obtain	VERB
ejpam-4689	4	8	and	and	CCONJ
ejpam-4689	4	9	given	give	VERB
ejpam-4689	4	10	as	as	ADP
ejpam-4689	4	11	corollaries	corollary	NOUN
ejpam-4689	4	12	.	.	PUNCT
ejpam-4689	5	1	the	the	DET
ejpam-4689	5	2	main	main	ADJ
ejpam-4689	5	3	motivation	motivation	NOUN
ejpam-4689	5	4	of	of	ADP
ejpam-4689	5	5	the	the	DET
ejpam-4689	5	6	paper	paper	NOUN
ejpam-4689	5	7	is	be	AUX
ejpam-4689	5	8	to	to	PART
ejpam-4689	5	9	generalize	generalize	VERB
ejpam-4689	5	10	the	the	DET
ejpam-4689	5	11	recently	recently	ADV
ejpam-4689	5	12	published	publish	VERB
ejpam-4689	5	13	results	result	NOUN
ejpam-4689	5	14	in	in	ADP
ejpam-4689	5	15	terms	term	NOUN
ejpam-4689	5	16	of	of	ADP
ejpam-4689	5	17	the	the	DET
ejpam-4689	5	18	(	(	PUNCT
ejpam-4689	5	19	α	α	NOUN
ejpam-4689	5	20	,	,	PUNCT
ejpam-4689	5	21	h	h	NOUN
ejpam-4689	5	22	−	−	PROPN
ejpam-4689	5	23	m	m	NOUN
ejpam-4689	5	24	)	)	PUNCT
ejpam-4689	6	1	−	−	PROPN
ejpam-4689	6	2	p	p	X
ejpam-4689	6	3	convexity	convexity	NOUN
ejpam-4689	6	4	with	with	ADP
ejpam-4689	6	5	k	k	PROPN
ejpam-4689	6	6	-	-	PROPN
ejpam-4689	6	7	p	p	ADJ
ejpam-4689	6	8	riemann	riemann	PROPN
ejpam-4689	6	9	liouville	liouville	PROPN
ejpam-4689	6	10	fractional	fractional	ADJ
ejpam-4689	6	11	operator	operator	NOUN
ejpam-4689	6	12	.	.	PUNCT
ejpam-4689	7	1	the	the	DET
ejpam-4689	7	2	application	application	NOUN
ejpam-4689	7	3	of	of	ADP
ejpam-4689	7	4	hölders	hölder	NOUN
ejpam-4689	7	5	inequality	inequality	NOUN
ejpam-4689	7	6	is	be	AUX
ejpam-4689	7	7	given	give	VERB
ejpam-4689	7	8	in	in	ADP
ejpam-4689	7	9	tandem	tandem	NOUN
ejpam-4689	7	10	with	with	ADP
ejpam-4689	7	11	the	the	DET
ejpam-4689	7	12	k	k	ADJ
ejpam-4689	7	13	-	-	ADJ
ejpam-4689	7	14	p	p	ADJ
ejpam-4689	7	15	fractional	fractional	ADJ
ejpam-4689	7	16	operator	operator	NOUN
ejpam-4689	7	17	of	of	ADP
ejpam-4689	7	18	the	the	DET
ejpam-4689	7	19	convex	convex	NOUN
ejpam-4689	7	20	type	type	NOUN
ejpam-4689	7	21	.	.	PUNCT
ejpam-4689	8	1	2020	2020	NUM
ejpam-4689	8	2	mathematics	mathematic	NOUN
ejpam-4689	8	3	subject	subject	NOUN
ejpam-4689	8	4	classifications	classification	NOUN
ejpam-4689	8	5	:	:	PUNCT
ejpam-4689	8	6	26d10	26d10	NUM
ejpam-4689	8	7	,	,	PUNCT
ejpam-4689	8	8	26a33	26a33	NUM
ejpam-4689	8	9	key	key	ADJ
ejpam-4689	8	10	words	word	NOUN
ejpam-4689	8	11	and	and	CCONJ
ejpam-4689	8	12	phrases	phrase	NOUN
ejpam-4689	8	13	:	:	PUNCT
ejpam-4689	8	14	hermite	hermite	ADJ
ejpam-4689	8	15	-	-	PUNCT
ejpam-4689	8	16	hadamard	hadamard	ADJ
ejpam-4689	8	17	inequality	inequality	NOUN
ejpam-4689	8	18	,	,	PUNCT
ejpam-4689	8	19	(	(	PUNCT
ejpam-4689	8	20	α	α	X
ejpam-4689	8	21	,	,	PUNCT
ejpam-4689	8	22	h−m)−p	h−m)−p	ADJ
ejpam-4689	8	23	-	-	ADJ
ejpam-4689	8	24	convex	convex	ADJ
ejpam-4689	8	25	function	function	NOUN
ejpam-4689	8	26	,	,	PUNCT
ejpam-4689	8	27	hölder	hölder	NOUN
ejpam-4689	8	28	inequality	inequality	NOUN
ejpam-4689	8	29	,	,	PUNCT
ejpam-4689	8	30	fractional	fractional	ADJ
ejpam-4689	8	31	inequality	inequality	NOUN
ejpam-4689	8	32	1	1	NUM
ejpam-4689	8	33	.	.	PUNCT
ejpam-4689	9	1	introduction	introduction	NOUN
ejpam-4689	9	2	convex	convex	NOUN
ejpam-4689	9	3	inequalities	inequality	NOUN
ejpam-4689	9	4	in	in	ADP
ejpam-4689	9	5	mathematics	mathematic	NOUN
ejpam-4689	9	6	have	have	AUX
ejpam-4689	9	7	been	be	AUX
ejpam-4689	9	8	an	an	DET
ejpam-4689	9	9	ongoing	ongoing	ADJ
ejpam-4689	9	10	topic	topic	NOUN
ejpam-4689	9	11	of	of	ADP
ejpam-4689	9	12	research	research	NOUN
ejpam-4689	9	13	since	since	SCONJ
ejpam-4689	9	14	the	the	DET
ejpam-4689	9	15	introduction	introduction	NOUN
ejpam-4689	9	16	of	of	ADP
ejpam-4689	9	17	the	the	DET
ejpam-4689	9	18	first	first	ADJ
ejpam-4689	9	19	convex	convex	NOUN
ejpam-4689	9	20	inequality	inequality	NOUN
ejpam-4689	9	21	by	by	ADP
ejpam-4689	9	22	jensen	jensen	PROPN
ejpam-4689	9	23	.	.	PUNCT
ejpam-4689	10	1	many	many	ADJ
ejpam-4689	10	2	inequalities	inequality	NOUN
ejpam-4689	10	3	followed	follow	VERB
ejpam-4689	10	4	as	as	ADP
ejpam-4689	10	5	a	a	DET
ejpam-4689	10	6	consequence	consequence	NOUN
ejpam-4689	10	7	of	of	ADP
ejpam-4689	10	8	the	the	DET
ejpam-4689	10	9	said	say	VERB
ejpam-4689	10	10	inequality	inequality	NOUN
ejpam-4689	10	11	,	,	PUNCT
ejpam-4689	10	12	see	see	VERB
ejpam-4689	10	13	books	book	NOUN
ejpam-4689	10	14	[	[	X
ejpam-4689	10	15	24	24	NUM
ejpam-4689	10	16	,	,	PUNCT
ejpam-4689	10	17	31	31	NUM
ejpam-4689	10	18	]	]	PUNCT
ejpam-4689	10	19	.	.	PUNCT
ejpam-4689	11	1	inequalities	inequality	NOUN
ejpam-4689	11	2	have	have	VERB
ejpam-4689	11	3	applications	application	NOUN
ejpam-4689	11	4	in	in	ADP
ejpam-4689	11	5	many	many	ADJ
ejpam-4689	11	6	fields	field	NOUN
ejpam-4689	11	7	,	,	PUNCT
ejpam-4689	11	8	such	such	ADJ
ejpam-4689	11	9	as	as	ADP
ejpam-4689	11	10	analysis	analysis	NOUN
ejpam-4689	11	11	,	,	PUNCT
ejpam-4689	11	12	optimization	optimization	NOUN
ejpam-4689	11	13	and	and	CCONJ
ejpam-4689	11	14	the	the	DET
ejpam-4689	11	15	probability	probability	NOUN
ejpam-4689	11	16	theory	theory	NOUN
ejpam-4689	11	17	.	.	PUNCT
ejpam-4689	12	1	for	for	ADP
ejpam-4689	12	2	further	further	ADJ
ejpam-4689	12	3	information	information	NOUN
ejpam-4689	12	4	,	,	PUNCT
ejpam-4689	12	5	we	we	PRON
ejpam-4689	12	6	refer	refer	VERB
ejpam-4689	12	7	the	the	DET
ejpam-4689	12	8	reader	reader	NOUN
ejpam-4689	12	9	to	to	ADP
ejpam-4689	12	10	the	the	DET
ejpam-4689	12	11	papers	paper	NOUN
ejpam-4689	12	12	[	[	X
ejpam-4689	12	13	8	8	NUM
ejpam-4689	12	14	,	,	PUNCT
ejpam-4689	12	15	9	9	NUM
ejpam-4689	12	16	,	,	PUNCT
ejpam-4689	12	17	12	12	NUM
ejpam-4689	12	18	,	,	PUNCT
ejpam-4689	12	19	17	17	NUM
ejpam-4689	12	20	,	,	PUNCT
ejpam-4689	12	21	25	25	NUM
ejpam-4689	12	22	,	,	PUNCT
ejpam-4689	12	23	26	26	NUM
ejpam-4689	12	24	,	,	PUNCT
ejpam-4689	12	25	35	35	NUM
ejpam-4689	12	26	]	]	PUNCT
ejpam-4689	12	27	.	.	PUNCT
ejpam-4689	13	1	the	the	DET
ejpam-4689	13	2	inequality	inequality	NOUN
ejpam-4689	13	3	that	that	PRON
ejpam-4689	13	4	has	have	AUX
ejpam-4689	13	5	attracted	attract	VERB
ejpam-4689	13	6	the	the	DET
ejpam-4689	13	7	most	most	ADJ
ejpam-4689	13	8	attention	attention	NOUN
ejpam-4689	13	9	in	in	ADP
ejpam-4689	13	10	the	the	DET
ejpam-4689	13	11	math	math	NOUN
ejpam-4689	13	12	community	community	NOUN
ejpam-4689	13	13	is	be	AUX
ejpam-4689	13	14	the	the	DET
ejpam-4689	13	15	hermite	hermite	PROPN
ejpam-4689	13	16	-	-	PUNCT
ejpam-4689	13	17	hadamard	hadamard	ADJ
ejpam-4689	13	18	inequality	inequality	NOUN
ejpam-4689	13	19	[	[	X
ejpam-4689	13	20	16	16	NUM
ejpam-4689	13	21	]	]	PUNCT
ejpam-4689	13	22	.	.	PUNCT
ejpam-4689	14	1	the	the	DET
ejpam-4689	14	2	said	say	VERB
ejpam-4689	14	3	inequality	inequality	NOUN
ejpam-4689	14	4	has	have	AUX
ejpam-4689	14	5	been	be	AUX
ejpam-4689	14	6	generalized	generalize	VERB
ejpam-4689	14	7	in	in	ADP
ejpam-4689	14	8	various	various	ADJ
ejpam-4689	14	9	forms	form	NOUN
ejpam-4689	14	10	by	by	ADP
ejpam-4689	14	11	many	many	ADJ
ejpam-4689	14	12	mathematicians	mathematician	NOUN
ejpam-4689	14	13	throughout	throughout	ADP
ejpam-4689	14	14	the	the	DET
ejpam-4689	14	15	years	year	NOUN
ejpam-4689	14	16	.	.	PUNCT
ejpam-4689	15	1	the	the	DET
ejpam-4689	15	2	inequality	inequality	NOUN
ejpam-4689	15	3	was	be	AUX
ejpam-4689	15	4	proved	prove	VERB
ejpam-4689	15	5	independently	independently	ADV
ejpam-4689	15	6	by	by	ADP
ejpam-4689	15	7	charles	charles	PROPN
ejpam-4689	15	8	hermite	hermite	PROPN
ejpam-4689	15	9	and	and	CCONJ
ejpam-4689	15	10	jacques	jacques	PROPN
ejpam-4689	15	11	hadamard	hadamard	PROPN
ejpam-4689	15	12	.	.	PUNCT
ejpam-4689	16	1	this	this	DET
ejpam-4689	16	2	inequality	inequality	NOUN
ejpam-4689	16	3	is	be	AUX
ejpam-4689	16	4	stated	state	VERB
ejpam-4689	16	5	as	as	SCONJ
ejpam-4689	16	6	follows	follow	VERB
ejpam-4689	16	7	:	:	PUNCT
ejpam-4689	16	8	let	let	VERB
ejpam-4689	16	9	f	f	X
ejpam-4689	16	10	:	:	PUNCT
ejpam-4689	16	11	i	i	PRON
ejpam-4689	16	12	→	→	PUNCT
ejpam-4689	16	13	r	r	NOUN
ejpam-4689	16	14	be	be	AUX
ejpam-4689	16	15	a	a	DET
ejpam-4689	16	16	convex	convex	ADJ
ejpam-4689	16	17	function	function	NOUN
ejpam-4689	16	18	on	on	ADP
ejpam-4689	16	19	i	i	PRON
ejpam-4689	16	20	in	in	ADP
ejpam-4689	16	21	r	r	NOUN
ejpam-4689	16	22	,	,	PUNCT
ejpam-4689	16	23	where	where	SCONJ
ejpam-4689	16	24	i	i	PRON
ejpam-4689	16	25	is	be	AUX
ejpam-4689	16	26	a	a	DET
ejpam-4689	16	27	bounded	bounded	ADJ
ejpam-4689	16	28	subset	subset	NOUN
ejpam-4689	16	29	of	of	ADP
ejpam-4689	16	30	r	r	NOUN
ejpam-4689	16	31	and	and	CCONJ
ejpam-4689	16	32	ρ1	ρ1	NOUN
ejpam-4689	16	33	,	,	PUNCT
ejpam-4689	16	34	ρ2	ρ2	NOUN
ejpam-4689	16	35	∈	∈	PROPN
ejpam-4689	16	36	i	i	PRON
ejpam-4689	16	37	with	with	ADP
ejpam-4689	16	38	ρ1	ρ1	NOUN
ejpam-4689	16	39	<	<	X
ejpam-4689	16	40	ρ2	ρ2	NOUN
ejpam-4689	16	41	,	,	PUNCT
ejpam-4689	16	42	then	then	ADV
ejpam-4689	16	43	f	f	PROPN
ejpam-4689	16	44	(	(	PUNCT
ejpam-4689	16	45	ρ1	ρ1	NOUN
ejpam-4689	16	46	+	+	CCONJ
ejpam-4689	16	47	ρ2	ρ2	NOUN
ejpam-4689	16	48	2	2	NUM
ejpam-4689	16	49	)	)	PUNCT
ejpam-4689	16	50	⩽	⩽	ADJ
ejpam-4689	16	51	1	1	NUM
ejpam-4689	16	52	ρ2	ρ2	NOUN
ejpam-4689	16	53	−	−	PROPN
ejpam-4689	16	54	ρ1	ρ1	NOUN
ejpam-4689	16	55	∫	∫	PROPN
ejpam-4689	16	56	ρ2	ρ2	PROPN
ejpam-4689	16	57	ρ1	ρ1	NOUN
ejpam-4689	16	58	f(t)dt	f(t)dt	PROPN
ejpam-4689	16	59	⩽	⩽	PROPN
ejpam-4689	16	60	f(ρ1	f(ρ1	PROPN
ejpam-4689	16	61	)	)	PUNCT
ejpam-4689	17	1	+	+	CCONJ
ejpam-4689	17	2	f(ρ2	f(ρ2	NOUN
ejpam-4689	17	3	)	)	PUNCT
ejpam-4689	17	4	2	2	NUM
ejpam-4689	17	5	.	.	PUNCT
ejpam-4689	18	1	lately	lately	ADV
ejpam-4689	18	2	,	,	PUNCT
ejpam-4689	18	3	various	various	ADJ
ejpam-4689	18	4	types	type	NOUN
ejpam-4689	18	5	of	of	ADP
ejpam-4689	18	6	hermite	hermite	ADJ
ejpam-4689	18	7	-	-	PUNCT
ejpam-4689	18	8	hadamard	hadamard	ADJ
ejpam-4689	18	9	type	type	NOUN
ejpam-4689	18	10	inequalities	inequality	NOUN
ejpam-4689	18	11	have	have	AUX
ejpam-4689	18	12	been	be	AUX
ejpam-4689	18	13	studied	study	VERB
ejpam-4689	18	14	and	and	CCONJ
ejpam-4689	18	15	generalized	generalize	VERB
ejpam-4689	18	16	for	for	ADP
ejpam-4689	18	17	different	different	ADJ
ejpam-4689	18	18	types	type	NOUN
ejpam-4689	18	19	of	of	ADP
ejpam-4689	18	20	convex	convex	NOUN
ejpam-4689	18	21	functions	function	NOUN
ejpam-4689	18	22	under	under	ADP
ejpam-4689	18	23	different	different	ADJ
ejpam-4689	18	24	conditions	condition	NOUN
ejpam-4689	18	25	and	and	CCONJ
ejpam-4689	18	26	parameters	parameter	NOUN
ejpam-4689	18	27	.	.	PUNCT
ejpam-4689	19	1	doi	doi	NOUN
ejpam-4689	19	2	:	:	PUNCT
ejpam-4689	19	3	https://doi.org/10.29020/nybg.ejpam.v16i1.4689	https://doi.org/10.29020/nybg.ejpam.v16i1.4689	PROPN
ejpam-4689	19	4	email	email	NOUN
ejpam-4689	19	5	address	address	NOUN
ejpam-4689	19	6	:	:	PUNCT
ejpam-4689	19	7	vuk.stojiljkovic999@gmail.com	vuk.stojiljkovic999@gmail.com	X
ejpam-4689	19	8	(	(	PUNCT
ejpam-4689	19	9	v.	v.	ADP
ejpam-4689	19	10	stojiljković	stojiljković	NOUN
ejpam-4689	19	11	)	)	PUNCT
ejpam-4689	19	12	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4689	20	1	503	503	NUM
ejpam-4689	20	2	©	©	PROPN
ejpam-4689	20	3	2023	2023	NUM
ejpam-4689	20	4	ejpam	ejpam	NOUN
ejpam-4689	20	5	all	all	DET
ejpam-4689	20	6	rights	right	NOUN
ejpam-4689	20	7	reserved	reserve	VERB
ejpam-4689	20	8	.	.	PUNCT
ejpam-4689	21	1	v.	v.	ADP
ejpam-4689	21	2	stojiljković	stojiljković	NOUN
ejpam-4689	21	3	/	/	SYM
ejpam-4689	21	4	eur	eur	PROPN
ejpam-4689	21	5	.	.	PUNCT
ejpam-4689	22	1	j.	j.	PROPN
ejpam-4689	22	2	pure	pure	PROPN
ejpam-4689	22	3	appl	appl	PROPN
ejpam-4689	22	4	.	.	PROPN
ejpam-4689	22	5	math	math	PROPN
ejpam-4689	22	6	,	,	PUNCT
ejpam-4689	22	7	16	16	NUM
ejpam-4689	22	8	(	(	PUNCT
ejpam-4689	22	9	1	1	NUM
ejpam-4689	22	10	)	)	PUNCT
ejpam-4689	22	11	(	(	PUNCT
ejpam-4689	22	12	2023	2023	NUM
ejpam-4689	22	13	)	)	PUNCT
ejpam-4689	22	14	,	,	PUNCT
ejpam-4689	22	15	503	503	NUM
ejpam-4689	22	16	-	-	SYM
ejpam-4689	22	17	522	522	NUM
ejpam-4689	22	18	504	504	NUM
ejpam-4689	22	19	see	see	VERB
ejpam-4689	22	20	the	the	DET
ejpam-4689	22	21	following	follow	VERB
ejpam-4689	22	22	papers	paper	NOUN
ejpam-4689	22	23	for	for	ADP
ejpam-4689	22	24	more	more	ADJ
ejpam-4689	22	25	information	information	NOUN
ejpam-4689	22	26	and	and	CCONJ
ejpam-4689	22	27	references	reference	NOUN
ejpam-4689	22	28	therein	therein	ADV
ejpam-4689	22	29	[	[	X
ejpam-4689	22	30	2–7	2–7	NOUN
ejpam-4689	22	31	,	,	PUNCT
ejpam-4689	22	32	10	10	NUM
ejpam-4689	22	33	,	,	PUNCT
ejpam-4689	22	34	11	11	NUM
ejpam-4689	22	35	,	,	PUNCT
ejpam-4689	22	36	14	14	NUM
ejpam-4689	22	37	,	,	PUNCT
ejpam-4689	22	38	15	15	NUM
ejpam-4689	22	39	,	,	PUNCT
ejpam-4689	22	40	22	22	NUM
ejpam-4689	22	41	,	,	PUNCT
ejpam-4689	22	42	23	23	NUM
ejpam-4689	22	43	,	,	PUNCT
ejpam-4689	22	44	32–34	32–34	NUM
ejpam-4689	22	45	,	,	PUNCT
ejpam-4689	22	46	37–39	37–39	NUM
ejpam-4689	22	47	,	,	PUNCT
ejpam-4689	22	48	41–43].in	41–43].in	NOUN
ejpam-4689	22	49	1695	1695	NUM
ejpam-4689	22	50	,	,	PUNCT
ejpam-4689	22	51	l’hospital	l’hospital	NOUN
ejpam-4689	22	52	sent	send	VERB
ejpam-4689	22	53	a	a	DET
ejpam-4689	22	54	letter	letter	NOUN
ejpam-4689	22	55	to	to	ADP
ejpam-4689	22	56	leibniz	leibniz	PROPN
ejpam-4689	22	57	.	.	PUNCT
ejpam-4689	23	1	in	in	ADP
ejpam-4689	23	2	his	his	PRON
ejpam-4689	23	3	message	message	NOUN
ejpam-4689	23	4	an	an	DET
ejpam-4689	23	5	important	important	ADJ
ejpam-4689	23	6	question	question	NOUN
ejpam-4689	23	7	about	about	ADP
ejpam-4689	23	8	the	the	DET
ejpam-4689	23	9	order	order	NOUN
ejpam-4689	23	10	of	of	ADP
ejpam-4689	23	11	the	the	DET
ejpam-4689	23	12	derivative	derivative	NOUN
ejpam-4689	23	13	emerged	emerge	VERB
ejpam-4689	23	14	,	,	PUNCT
ejpam-4689	23	15	what	what	PRON
ejpam-4689	23	16	might	might	AUX
ejpam-4689	23	17	be	be	AUX
ejpam-4689	23	18	a	a	DET
ejpam-4689	23	19	derivative	derivative	NOUN
ejpam-4689	23	20	of	of	ADP
ejpam-4689	23	21	order	order	NOUN
ejpam-4689	23	22	1	1	NUM
ejpam-4689	23	23	2	2	NUM
ejpam-4689	23	24	?	?	PUNCT
ejpam-4689	24	1	that	that	DET
ejpam-4689	24	2	letter	letter	NOUN
ejpam-4689	24	3	sparked	spark	VERB
ejpam-4689	24	4	the	the	DET
ejpam-4689	24	5	interest	interest	NOUN
ejpam-4689	24	6	of	of	ADP
ejpam-4689	24	7	many	many	ADJ
ejpam-4689	24	8	upcoming	upcoming	ADJ
ejpam-4689	24	9	mathematicians	mathematician	NOUN
ejpam-4689	24	10	to	to	PART
ejpam-4689	24	11	investigate	investigate	VERB
ejpam-4689	24	12	further	far	ADV
ejpam-4689	24	13	into	into	ADP
ejpam-4689	24	14	the	the	DET
ejpam-4689	24	15	matter	matter	NOUN
ejpam-4689	24	16	of	of	ADP
ejpam-4689	24	17	fractional	fractional	ADJ
ejpam-4689	24	18	derivatives	derivative	NOUN
ejpam-4689	24	19	.	.	PUNCT
ejpam-4689	25	1	then	then	ADV
ejpam-4689	25	2	came	come	VERB
ejpam-4689	25	3	fourier	fourier	NOUN
ejpam-4689	25	4	in	in	ADP
ejpam-4689	25	5	1822	1822	NUM
ejpam-4689	25	6	who	who	PRON
ejpam-4689	25	7	suggested	suggest	VERB
ejpam-4689	25	8	an	an	DET
ejpam-4689	25	9	integral	integral	ADJ
ejpam-4689	25	10	representation	representation	NOUN
ejpam-4689	25	11	to	to	PART
ejpam-4689	25	12	define	define	VERB
ejpam-4689	25	13	the	the	DET
ejpam-4689	25	14	derivative	derivative	NOUN
ejpam-4689	25	15	,	,	PUNCT
ejpam-4689	25	16	and	and	CCONJ
ejpam-4689	25	17	his	his	PRON
ejpam-4689	25	18	version	version	NOUN
ejpam-4689	25	19	can	can	AUX
ejpam-4689	25	20	be	be	AUX
ejpam-4689	25	21	considered	consider	VERB
ejpam-4689	25	22	the	the	DET
ejpam-4689	25	23	first	first	ADJ
ejpam-4689	25	24	definition	definition	NOUN
ejpam-4689	25	25	of	of	ADP
ejpam-4689	25	26	the	the	DET
ejpam-4689	25	27	derivative	derivative	NOUN
ejpam-4689	25	28	of	of	ADP
ejpam-4689	25	29	the	the	DET
ejpam-4689	25	30	arbitrary	arbitrary	ADJ
ejpam-4689	25	31	positive	positive	ADJ
ejpam-4689	25	32	order	order	NOUN
ejpam-4689	25	33	.	.	PUNCT
ejpam-4689	26	1	abel	abel	PROPN
ejpam-4689	26	2	in	in	ADP
ejpam-4689	26	3	1826	1826	NUM
ejpam-4689	26	4	solved	solve	VERB
ejpam-4689	26	5	an	an	DET
ejpam-4689	26	6	integral	integral	ADJ
ejpam-4689	26	7	equation	equation	NOUN
ejpam-4689	26	8	associated	associate	VERB
ejpam-4689	26	9	with	with	ADP
ejpam-4689	26	10	tautochrone	tautochrone	NOUN
ejpam-4689	26	11	problem	problem	NOUN
ejpam-4689	26	12	,	,	PUNCT
ejpam-4689	26	13	which	which	PRON
ejpam-4689	26	14	was	be	AUX
ejpam-4689	26	15	the	the	DET
ejpam-4689	26	16	first	first	ADJ
ejpam-4689	26	17	application	application	NOUN
ejpam-4689	26	18	of	of	ADP
ejpam-4689	26	19	fc(fractional	fc(fractional	ADJ
ejpam-4689	26	20	calculus	calculus	NOUN
ejpam-4689	26	21	)	)	PUNCT
ejpam-4689	26	22	.	.	PUNCT
ejpam-4689	27	1	after	after	ADP
ejpam-4689	27	2	abel	abel	NOUN
ejpam-4689	27	3	,	,	PUNCT
ejpam-4689	27	4	many	many	ADJ
ejpam-4689	27	5	mathematicians	mathematician	NOUN
ejpam-4689	27	6	proceeded	proceed	VERB
ejpam-4689	27	7	to	to	PART
ejpam-4689	27	8	work	work	VERB
ejpam-4689	27	9	in	in	ADP
ejpam-4689	27	10	the	the	DET
ejpam-4689	27	11	field	field	NOUN
ejpam-4689	27	12	,	,	PUNCT
ejpam-4689	27	13	some	some	PRON
ejpam-4689	27	14	of	of	ADP
ejpam-4689	27	15	the	the	DET
ejpam-4689	27	16	names	name	NOUN
ejpam-4689	27	17	:	:	PUNCT
ejpam-4689	27	18	riemann	riemann	PROPN
ejpam-4689	27	19	,	,	PUNCT
ejpam-4689	27	20	grünwald	grünwald	NOUN
ejpam-4689	27	21	and	and	CCONJ
ejpam-4689	27	22	letnikov	letnikov	ADJ
ejpam-4689	27	23	,	,	PUNCT
ejpam-4689	27	24	hadamard	hadamard	NOUN
ejpam-4689	27	25	,	,	PUNCT
ejpam-4689	27	26	weyl	weyl	NOUN
ejpam-4689	27	27	,	,	PUNCT
ejpam-4689	27	28	and	and	CCONJ
ejpam-4689	27	29	many	many	ADJ
ejpam-4689	27	30	more	more	ADJ
ejpam-4689	27	31	.	.	PUNCT
ejpam-4689	28	1	in	in	ADP
ejpam-4689	28	2	the	the	DET
ejpam-4689	28	3	late	late	ADJ
ejpam-4689	28	4	upper	upper	ADJ
ejpam-4689	28	5	half	half	NOUN
ejpam-4689	28	6	of	of	ADP
ejpam-4689	28	7	the	the	DET
ejpam-4689	28	8	20th	20th	ADJ
ejpam-4689	28	9	century	century	NOUN
ejpam-4689	28	10	,	,	PUNCT
ejpam-4689	28	11	caputo	caputo	PROPN
ejpam-4689	28	12	formulated	formulate	VERB
ejpam-4689	28	13	a	a	DET
ejpam-4689	28	14	definition	definition	NOUN
ejpam-4689	28	15	,	,	PUNCT
ejpam-4689	28	16	more	more	ADV
ejpam-4689	28	17	restrictive	restrictive	ADJ
ejpam-4689	28	18	than	than	ADP
ejpam-4689	28	19	the	the	DET
ejpam-4689	28	20	riemann	riemann	PROPN
ejpam-4689	28	21	-	-	PUNCT
ejpam-4689	28	22	liouville	liouville	PROPN
ejpam-4689	28	23	but	but	CCONJ
ejpam-4689	28	24	more	more	ADV
ejpam-4689	28	25	appropriate	appropriate	ADJ
ejpam-4689	28	26	to	to	PART
ejpam-4689	28	27	discuss	discuss	VERB
ejpam-4689	28	28	problems	problem	NOUN
ejpam-4689	28	29	involving	involve	VERB
ejpam-4689	28	30	fractional	fractional	ADJ
ejpam-4689	28	31	differential	differential	ADJ
ejpam-4689	28	32	equations	equation	NOUN
ejpam-4689	28	33	with	with	ADP
ejpam-4689	28	34	initial	initial	ADJ
ejpam-4689	28	35	conditions	condition	NOUN
ejpam-4689	28	36	.	.	PUNCT
ejpam-4689	29	1	fractional	fractional	ADJ
ejpam-4689	29	2	calculus	calculus	NOUN
ejpam-4689	29	3	was	be	AUX
ejpam-4689	29	4	found	find	VERB
ejpam-4689	29	5	to	to	PART
ejpam-4689	29	6	be	be	AUX
ejpam-4689	29	7	useful	useful	ADJ
ejpam-4689	29	8	in	in	ADP
ejpam-4689	29	9	physics	physics	NOUN
ejpam-4689	29	10	as	as	ADV
ejpam-4689	29	11	well	well	ADV
ejpam-4689	29	12	,	,	PUNCT
ejpam-4689	29	13	for	for	ADP
ejpam-4689	29	14	example	example	NOUN
ejpam-4689	29	15	whatcraft	whatcraft	NOUN
ejpam-4689	29	16	and	and	CCONJ
ejpam-4689	29	17	meerschaert	meerschaert	NOUN
ejpam-4689	29	18	(	(	PUNCT
ejpam-4689	29	19	2008	2008	NUM
ejpam-4689	29	20	)	)	PUNCT
ejpam-4689	29	21	described	describe	VERB
ejpam-4689	29	22	a	a	DET
ejpam-4689	29	23	fractional	fractional	ADJ
ejpam-4689	29	24	conservation	conservation	NOUN
ejpam-4689	29	25	of	of	ADP
ejpam-4689	29	26	mass	mass	PROPN
ejpam-4689	29	27	,	,	PUNCT
ejpam-4689	29	28	fractional	fractional	ADJ
ejpam-4689	29	29	schrödinger	schrödinger	NOUN
ejpam-4689	29	30	equation	equation	NOUN
ejpam-4689	29	31	in	in	ADP
ejpam-4689	29	32	quantum	quantum	ADJ
ejpam-4689	29	33	theory	theory	NOUN
ejpam-4689	29	34	,	,	PUNCT
ejpam-4689	29	35	and	and	CCONJ
ejpam-4689	29	36	many	many	ADJ
ejpam-4689	29	37	others	other	NOUN
ejpam-4689	29	38	.	.	PUNCT
ejpam-4689	30	1	different	different	ADJ
ejpam-4689	30	2	types	type	NOUN
ejpam-4689	30	3	of	of	ADP
ejpam-4689	30	4	fractional	fractional	ADJ
ejpam-4689	30	5	integrals	integral	NOUN
ejpam-4689	30	6	and	and	CCONJ
ejpam-4689	30	7	derivatives	derivative	NOUN
ejpam-4689	30	8	were	be	AUX
ejpam-4689	30	9	defined	define	VERB
ejpam-4689	30	10	throughout	throughout	ADP
ejpam-4689	30	11	the	the	DET
ejpam-4689	30	12	years	year	NOUN
ejpam-4689	30	13	,	,	PUNCT
ejpam-4689	30	14	we	we	PRON
ejpam-4689	30	15	refer	refer	VERB
ejpam-4689	30	16	the	the	DET
ejpam-4689	30	17	interested	interested	ADJ
ejpam-4689	30	18	reader	reader	NOUN
ejpam-4689	30	19	to	to	ADP
ejpam-4689	30	20	the	the	DET
ejpam-4689	30	21	following	follow	VERB
ejpam-4689	30	22	books	book	NOUN
ejpam-4689	30	23	[	[	X
ejpam-4689	30	24	18	18	NUM
ejpam-4689	30	25	,	,	PUNCT
ejpam-4689	30	26	28	28	NUM
ejpam-4689	30	27	,	,	PUNCT
ejpam-4689	30	28	44	44	NUM
ejpam-4689	30	29	]	]	PUNCT
ejpam-4689	30	30	for	for	ADP
ejpam-4689	30	31	more	more	ADJ
ejpam-4689	30	32	information	information	NOUN
ejpam-4689	30	33	on	on	ADP
ejpam-4689	30	34	the	the	DET
ejpam-4689	30	35	matter	matter	NOUN
ejpam-4689	30	36	.	.	PUNCT
ejpam-4689	31	1	the	the	DET
ejpam-4689	31	2	motivation	motivation	NOUN
ejpam-4689	31	3	for	for	ADP
ejpam-4689	31	4	this	this	DET
ejpam-4689	31	5	paper	paper	NOUN
ejpam-4689	31	6	comes	come	VERB
ejpam-4689	31	7	from	from	ADP
ejpam-4689	31	8	the	the	DET
ejpam-4689	31	9	recently	recently	ADV
ejpam-4689	31	10	published	publish	VERB
ejpam-4689	31	11	paper	paper	NOUN
ejpam-4689	31	12	by	by	ADP
ejpam-4689	31	13	stojiljković	stojiljković	NOUN
ejpam-4689	31	14	et	et	PROPN
ejpam-4689	31	15	al.[40	al.[40	PROPN
ejpam-4689	31	16	]	]	PUNCT
ejpam-4689	31	17	where	where	SCONJ
ejpam-4689	31	18	the	the	DET
ejpam-4689	31	19	authors	author	NOUN
ejpam-4689	31	20	established	establish	VERB
ejpam-4689	31	21	some	some	DET
ejpam-4689	31	22	theorems	theorem	NOUN
ejpam-4689	31	23	regarding	regard	VERB
ejpam-4689	31	24	k	k	PROPN
ejpam-4689	31	25	−	−	PROPN
ejpam-4689	31	26	p	p	NOUN
ejpam-4689	31	27	fractional	fractional	ADJ
ejpam-4689	31	28	inequalities	inequality	NOUN
ejpam-4689	31	29	.	.	PUNCT
ejpam-4689	32	1	in	in	ADP
ejpam-4689	32	2	this	this	DET
ejpam-4689	32	3	paper	paper	NOUN
ejpam-4689	32	4	,	,	PUNCT
ejpam-4689	32	5	we	we	PRON
ejpam-4689	32	6	generalize	generalize	VERB
ejpam-4689	32	7	the	the	DET
ejpam-4689	32	8	obtained	obtain	VERB
ejpam-4689	32	9	inequalities	inequality	NOUN
ejpam-4689	32	10	.	.	PUNCT
ejpam-4689	33	1	the	the	DET
ejpam-4689	33	2	goal	goal	NOUN
ejpam-4689	33	3	of	of	ADP
ejpam-4689	33	4	this	this	DET
ejpam-4689	33	5	paper	paper	NOUN
ejpam-4689	33	6	is	be	AUX
ejpam-4689	33	7	to	to	PART
ejpam-4689	33	8	provide	provide	VERB
ejpam-4689	33	9	various	various	ADJ
ejpam-4689	33	10	convex	convex	ADJ
ejpam-4689	33	11	inequalities	inequality	NOUN
ejpam-4689	33	12	with	with	ADP
ejpam-4689	33	13	the	the	DET
ejpam-4689	33	14	usage	usage	NOUN
ejpam-4689	33	15	of	of	ADP
ejpam-4689	33	16	the	the	DET
ejpam-4689	33	17	(	(	PUNCT
ejpam-4689	33	18	α	α	NOUN
ejpam-4689	33	19	,	,	PUNCT
ejpam-4689	33	20	h−m)−	h−m)−	NOUN
ejpam-4689	33	21	p	p	NOUN
ejpam-4689	33	22	convexity	convexity	NOUN
ejpam-4689	33	23	in	in	ADP
ejpam-4689	33	24	addition	addition	NOUN
ejpam-4689	33	25	to	to	ADP
ejpam-4689	33	26	the	the	DET
ejpam-4689	33	27	usage	usage	NOUN
ejpam-4689	33	28	of	of	ADP
ejpam-4689	33	29	the	the	DET
ejpam-4689	33	30	fractional	fractional	ADJ
ejpam-4689	33	31	calculus	calculus	NOUN
ejpam-4689	33	32	.	.	PUNCT
ejpam-4689	34	1	we	we	PRON
ejpam-4689	34	2	start	start	VERB
ejpam-4689	34	3	by	by	ADP
ejpam-4689	34	4	defining	define	VERB
ejpam-4689	34	5	various	various	ADJ
ejpam-4689	34	6	types	type	NOUN
ejpam-4689	34	7	of	of	ADP
ejpam-4689	34	8	convex	convex	NOUN
ejpam-4689	34	9	-	-	PUNCT
ejpam-4689	34	10	inequalities	inequality	NOUN
ejpam-4689	34	11	.	.	PUNCT
ejpam-4689	35	1	from	from	ADP
ejpam-4689	35	2	jensen	jensen	PROPN
ejpam-4689	35	3	’s	’s	PART
ejpam-4689	35	4	inequality	inequality	NOUN
ejpam-4689	35	5	which	which	PRON
ejpam-4689	35	6	was	be	AUX
ejpam-4689	35	7	the	the	DET
ejpam-4689	35	8	first	first	ADJ
ejpam-4689	35	9	inequality	inequality	NOUN
ejpam-4689	35	10	of	of	ADP
ejpam-4689	35	11	its	its	PRON
ejpam-4689	35	12	type	type	NOUN
ejpam-4689	35	13	to	to	ADP
ejpam-4689	35	14	the	the	DET
ejpam-4689	35	15	(	(	PUNCT
ejpam-4689	35	16	α	α	NOUN
ejpam-4689	35	17	,	,	PUNCT
ejpam-4689	35	18	h	h	NOUN
ejpam-4689	35	19	−m	−m	NOUN
ejpam-4689	35	20	)	)	PUNCT
ejpam-4689	36	1	−	−	PROPN
ejpam-4689	36	2	p	p	NOUN
ejpam-4689	36	3	convexity	convexity	NOUN
ejpam-4689	36	4	which	which	PRON
ejpam-4689	36	5	will	will	AUX
ejpam-4689	36	6	be	be	AUX
ejpam-4689	36	7	used	use	VERB
ejpam-4689	36	8	in	in	ADP
ejpam-4689	36	9	the	the	DET
ejpam-4689	36	10	paper	paper	NOUN
ejpam-4689	36	11	.	.	PUNCT
ejpam-4689	37	1	definition	definition	NOUN
ejpam-4689	37	2	1	1	NUM
ejpam-4689	37	3	.	.	PUNCT
ejpam-4689	38	1	for	for	ADP
ejpam-4689	38	2	an	an	DET
ejpam-4689	38	3	interval	interval	NOUN
ejpam-4689	38	4	i	i	PRON
ejpam-4689	38	5	in	in	ADP
ejpam-4689	38	6	r	r	PROPN
ejpam-4689	38	7	,	,	PUNCT
ejpam-4689	38	8	a	a	DET
ejpam-4689	38	9	function	function	NOUN
ejpam-4689	38	10	f	f	NOUN
ejpam-4689	38	11	:	:	PUNCT
ejpam-4689	38	12	i	i	PRON
ejpam-4689	38	13	→	→	PUNCT
ejpam-4689	38	14	r	r	NOUN
ejpam-4689	38	15	is	be	AUX
ejpam-4689	38	16	said	say	VERB
ejpam-4689	38	17	to	to	PART
ejpam-4689	38	18	be	be	AUX
ejpam-4689	38	19	convex	convex	ADJ
ejpam-4689	38	20	on	on	ADP
ejpam-4689	38	21	i	i	PRON
ejpam-4689	38	22	if	if	SCONJ
ejpam-4689	38	23	,	,	PUNCT
ejpam-4689	38	24	f(ζρ1	f(ζρ1	PROPN
ejpam-4689	38	25	+	+	CCONJ
ejpam-4689	38	26	(	(	PUNCT
ejpam-4689	38	27	1−	1−	NUM
ejpam-4689	38	28	ζ)ρ2	ζ)ρ2	PROPN
ejpam-4689	38	29	)	)	PUNCT
ejpam-4689	38	30	⩽	⩽	ADJ
ejpam-4689	38	31	ζf(ρ1	ζf(ρ1	NOUN
ejpam-4689	38	32	)	)	PUNCT
ejpam-4689	39	1	+	+	CCONJ
ejpam-4689	39	2	(	(	PUNCT
ejpam-4689	39	3	1−	1−	NUM
ejpam-4689	39	4	ζ)f(ρ2	ζ)f(ρ2	NOUN
ejpam-4689	39	5	)	)	PUNCT
ejpam-4689	39	6	for	for	ADP
ejpam-4689	39	7	all	all	DET
ejpam-4689	39	8	ρ1	ρ1	NOUN
ejpam-4689	39	9	,	,	PUNCT
ejpam-4689	40	1	ρ2	ρ2	NOUN
ejpam-4689	40	2	∈	∈	PROPN
ejpam-4689	40	3	i	i	PRON
ejpam-4689	40	4	and	and	CCONJ
ejpam-4689	40	5	ζ	ζ	NOUN
ejpam-4689	40	6	∈	∈	NOUN
ejpam-4689	41	1	[	[	X
ejpam-4689	41	2	0	0	NUM
ejpam-4689	41	3	,	,	PUNCT
ejpam-4689	41	4	1	1	NUM
ejpam-4689	41	5	]	]	PUNCT
ejpam-4689	41	6	holds	hold	VERB
ejpam-4689	41	7	and	and	CCONJ
ejpam-4689	41	8	is	be	AUX
ejpam-4689	41	9	said	say	VERB
ejpam-4689	41	10	to	to	PART
ejpam-4689	41	11	be	be	AUX
ejpam-4689	41	12	a	a	DET
ejpam-4689	41	13	concave	concave	NOUN
ejpam-4689	41	14	function	function	NOUN
ejpam-4689	41	15	if	if	SCONJ
ejpam-4689	41	16	the	the	DET
ejpam-4689	41	17	inequality	inequality	NOUN
ejpam-4689	41	18	is	be	AUX
ejpam-4689	41	19	reversed	reverse	VERB
ejpam-4689	41	20	.	.	PUNCT
ejpam-4689	42	1	among	among	ADP
ejpam-4689	42	2	the	the	DET
ejpam-4689	42	3	first	first	ADJ
ejpam-4689	42	4	generalizations	generalization	NOUN
ejpam-4689	42	5	of	of	ADP
ejpam-4689	42	6	the	the	DET
ejpam-4689	42	7	convex	convex	NOUN
ejpam-4689	42	8	function	function	NOUN
ejpam-4689	42	9	was	be	AUX
ejpam-4689	42	10	given	give	VERB
ejpam-4689	42	11	by	by	ADP
ejpam-4689	42	12	hudzik	hudzik	NOUN
ejpam-4689	42	13	and	and	CCONJ
ejpam-4689	42	14	maligranda	maligranda	NOUN
ejpam-4689	42	15	,	,	PUNCT
ejpam-4689	42	16	in	in	ADP
ejpam-4689	42	17	their	their	PRON
ejpam-4689	42	18	paper	paper	NOUN
ejpam-4689	43	1	[	[	X
ejpam-4689	43	2	19	19	NUM
ejpam-4689	43	3	]	]	PUNCT
ejpam-4689	43	4	.	.	PUNCT
ejpam-4689	44	1	definition	definition	NOUN
ejpam-4689	44	2	2	2	NUM
ejpam-4689	44	3	.	.	PUNCT
ejpam-4689	45	1	a	a	DET
ejpam-4689	45	2	function	function	NOUN
ejpam-4689	45	3	f	f	NOUN
ejpam-4689	45	4	:	:	PUNCT
ejpam-4689	46	1	[	[	X
ejpam-4689	46	2	0,+∞	0,+∞	NUM
ejpam-4689	46	3	)	)	PUNCT
ejpam-4689	46	4	→	→	SYM
ejpam-4689	46	5	r	r	NOUN
ejpam-4689	46	6	is	be	AUX
ejpam-4689	46	7	said	say	VERB
ejpam-4689	46	8	to	to	PART
ejpam-4689	46	9	be	be	AUX
ejpam-4689	46	10	s	s	NOUN
ejpam-4689	46	11	-	-	NOUN
ejpam-4689	46	12	convex	convex	ADJ
ejpam-4689	46	13	in	in	ADP
ejpam-4689	46	14	the	the	DET
ejpam-4689	46	15	second	second	ADJ
ejpam-4689	46	16	sense	sense	NOUN
ejpam-4689	46	17	if	if	SCONJ
ejpam-4689	46	18	f(tx+	f(tx+	ADJ
ejpam-4689	46	19	(	(	PUNCT
ejpam-4689	46	20	1−	1−	NUM
ejpam-4689	46	21	t)y	t)y	ADJ
ejpam-4689	46	22	)	)	PUNCT
ejpam-4689	46	23	⩽	⩽	NOUN
ejpam-4689	46	24	tsf(x	tsf(x	ADP
ejpam-4689	46	25	)	)	PUNCT
ejpam-4689	46	26	+	+	CCONJ
ejpam-4689	46	27	(	(	PUNCT
ejpam-4689	46	28	1−	1−	NUM
ejpam-4689	46	29	t)sf(y	t)sf(y	ADP
ejpam-4689	46	30	)	)	PUNCT
ejpam-4689	46	31	holds	hold	VERB
ejpam-4689	46	32	for	for	ADP
ejpam-4689	46	33	all	all	DET
ejpam-4689	46	34	x	x	NOUN
ejpam-4689	46	35	,	,	PUNCT
ejpam-4689	46	36	y	y	PROPN
ejpam-4689	46	37	∈	∈	PROPN
ejpam-4689	47	1	[	[	X
ejpam-4689	47	2	0,+∞	0,+∞	NUM
ejpam-4689	47	3	)	)	PUNCT
ejpam-4689	47	4	,	,	PUNCT
ejpam-4689	47	5	t	t	PROPN
ejpam-4689	47	6	∈	∈	PROPN
ejpam-4689	48	1	[	[	X
ejpam-4689	48	2	0	0	NUM
ejpam-4689	48	3	,	,	PUNCT
ejpam-4689	48	4	1	1	NUM
ejpam-4689	48	5	]	]	PUNCT
ejpam-4689	48	6	and	and	CCONJ
ejpam-4689	48	7	for	for	ADP
ejpam-4689	48	8	some	some	DET
ejpam-4689	48	9	fixed	fix	VERB
ejpam-4689	48	10	s	s	X
ejpam-4689	48	11	∈	∈	NOUN
ejpam-4689	48	12	(	(	PUNCT
ejpam-4689	48	13	0	0	NUM
ejpam-4689	48	14	,	,	PUNCT
ejpam-4689	48	15	1	1	NUM
ejpam-4689	48	16	]	]	PUNCT
ejpam-4689	48	17	.	.	PUNCT
ejpam-4689	49	1	the	the	DET
ejpam-4689	49	2	(	(	PUNCT
ejpam-4689	49	3	s	s	PROPN
ejpam-4689	49	4	,	,	PUNCT
ejpam-4689	49	5	m	m	NOUN
ejpam-4689	49	6	)	)	PUNCT
ejpam-4689	49	7	convexity	convexity	NOUN
ejpam-4689	49	8	generalized	generalize	VERB
ejpam-4689	49	9	the	the	DET
ejpam-4689	49	10	s	s	PART
ejpam-4689	49	11	convexity	convexity	NOUN
ejpam-4689	49	12	,	,	PUNCT
ejpam-4689	49	13	j.	j.	PROPN
ejpam-4689	49	14	park	park	PROPN
ejpam-4689	49	15	asserted	assert	VERB
ejpam-4689	49	16	a	a	DET
ejpam-4689	49	17	new	new	ADJ
ejpam-4689	49	18	definition	definition	NOUN
ejpam-4689	49	19	given	give	VERB
ejpam-4689	49	20	in	in	ADP
ejpam-4689	49	21	the	the	DET
ejpam-4689	49	22	following	following	NOUN
ejpam-4689	49	23	and	and	CCONJ
ejpam-4689	49	24	gave	give	VERB
ejpam-4689	49	25	some	some	DET
ejpam-4689	49	26	properties	property	NOUN
ejpam-4689	49	27	about	about	ADP
ejpam-4689	49	28	this	this	DET
ejpam-4689	49	29	class	class	NOUN
ejpam-4689	49	30	of	of	ADP
ejpam-4689	49	31	functions	function	NOUN
ejpam-4689	49	32	in	in	ADP
ejpam-4689	49	33	[	[	X
ejpam-4689	49	34	30	30	NUM
ejpam-4689	49	35	]	]	PUNCT
ejpam-4689	49	36	.	.	PUNCT
ejpam-4689	50	1	v.	v.	ADP
ejpam-4689	50	2	stojiljković	stojiljković	NOUN
ejpam-4689	50	3	/	/	SYM
ejpam-4689	50	4	eur	eur	PROPN
ejpam-4689	50	5	.	.	PUNCT
ejpam-4689	51	1	j.	j.	PROPN
ejpam-4689	51	2	pure	pure	PROPN
ejpam-4689	51	3	appl	appl	PROPN
ejpam-4689	51	4	.	.	PROPN
ejpam-4689	51	5	math	math	PROPN
ejpam-4689	51	6	,	,	PUNCT
ejpam-4689	51	7	16	16	NUM
ejpam-4689	51	8	(	(	PUNCT
ejpam-4689	51	9	1	1	NUM
ejpam-4689	51	10	)	)	PUNCT
ejpam-4689	51	11	(	(	PUNCT
ejpam-4689	51	12	2023	2023	NUM
ejpam-4689	51	13	)	)	PUNCT
ejpam-4689	51	14	,	,	PUNCT
ejpam-4689	51	15	503	503	NUM
ejpam-4689	51	16	-	-	SYM
ejpam-4689	51	17	522	522	NUM
ejpam-4689	51	18	505	505	NUM
ejpam-4689	51	19	definition	definition	NOUN
ejpam-4689	51	20	3	3	NUM
ejpam-4689	51	21	.	.	PUNCT
ejpam-4689	52	1	for	for	ADP
ejpam-4689	52	2	some	some	DET
ejpam-4689	52	3	fixed	fix	VERB
ejpam-4689	52	4	s	s	X
ejpam-4689	52	5	∈	∈	NOUN
ejpam-4689	52	6	(	(	PUNCT
ejpam-4689	52	7	0	0	NUM
ejpam-4689	52	8	,	,	PUNCT
ejpam-4689	52	9	1	1	NUM
ejpam-4689	52	10	]	]	PUNCT
ejpam-4689	52	11	and	and	CCONJ
ejpam-4689	52	12	m	m	PROPN
ejpam-4689	52	13	∈	∈	PROPN
ejpam-4689	52	14	[	[	X
ejpam-4689	52	15	0	0	NUM
ejpam-4689	52	16	,	,	PUNCT
ejpam-4689	52	17	1	1	NUM
ejpam-4689	52	18	]	]	PUNCT
ejpam-4689	52	19	a	a	DET
ejpam-4689	52	20	mapping	mapping	NOUN
ejpam-4689	52	21	f	f	X
ejpam-4689	52	22	:	:	PUNCT
ejpam-4689	53	1	[	[	X
ejpam-4689	53	2	0,+∞	0,+∞	NUM
ejpam-4689	53	3	)	)	PUNCT
ejpam-4689	53	4	→	→	SYM
ejpam-4689	53	5	r	r	NOUN
ejpam-4689	53	6	is	be	AUX
ejpam-4689	53	7	said	say	VERB
ejpam-4689	53	8	to	to	PART
ejpam-4689	53	9	be	be	AUX
ejpam-4689	53	10	(	(	PUNCT
ejpam-4689	53	11	s	s	X
ejpam-4689	53	12	,	,	PUNCT
ejpam-4689	53	13	m)-convex	m)-convex	PUNCT
ejpam-4689	53	14	in	in	ADP
ejpam-4689	53	15	the	the	DET
ejpam-4689	53	16	second	second	ADJ
ejpam-4689	53	17	sense	sense	NOUN
ejpam-4689	53	18	on	on	ADP
ejpam-4689	53	19	i	i	PRON
ejpam-4689	53	20	if	if	SCONJ
ejpam-4689	53	21	f(tρ1	f(tρ1	PROPN
ejpam-4689	53	22	+	+	PROPN
ejpam-4689	53	23	m(1−	m(1−	PROPN
ejpam-4689	53	24	t)ρ2	t)ρ2	NOUN
ejpam-4689	53	25	)	)	PUNCT
ejpam-4689	53	26	⩽	⩽	NOUN
ejpam-4689	53	27	tsf(ρ1	tsf(ρ1	PROPN
ejpam-4689	53	28	)	)	PUNCT
ejpam-4689	54	1	+	+	ADJ
ejpam-4689	54	2	m(1−	m(1−	ADJ
ejpam-4689	54	3	t)sf(ρ2	t)sf(ρ2	NOUN
ejpam-4689	54	4	)	)	PUNCT
ejpam-4689	54	5	holds	hold	VERB
ejpam-4689	54	6	for	for	ADP
ejpam-4689	54	7	all	all	DET
ejpam-4689	54	8	ρ1	ρ1	NOUN
ejpam-4689	54	9	,	,	PUNCT
ejpam-4689	55	1	ρ2	ρ2	NOUN
ejpam-4689	55	2	∈	∈	PROPN
ejpam-4689	55	3	i	i	PRON
ejpam-4689	55	4	and	and	CCONJ
ejpam-4689	55	5	t	t	PROPN
ejpam-4689	55	6	∈	∈	PROPN
ejpam-4689	56	1	[	[	X
ejpam-4689	56	2	0	0	NUM
ejpam-4689	56	3	,	,	PUNCT
ejpam-4689	56	4	1	1	NUM
ejpam-4689	56	5	]	]	PUNCT
ejpam-4689	56	6	.	.	PUNCT
ejpam-4689	57	1	the	the	DET
ejpam-4689	57	2	following	follow	VERB
ejpam-4689	57	3	definition	definition	NOUN
ejpam-4689	57	4	was	be	AUX
ejpam-4689	57	5	introduced	introduce	VERB
ejpam-4689	57	6	by	by	ADP
ejpam-4689	57	7	zhong	zhong	PROPN
ejpam-4689	57	8	fang	fang	PROPN
ejpam-4689	57	9	which	which	PRON
ejpam-4689	57	10	generalizes	generalize	VERB
ejpam-4689	57	11	the	the	DET
ejpam-4689	57	12	p	p	NOUN
ejpam-4689	57	13	-	-	PUNCT
ejpam-4689	57	14	convexity	convexity	NOUN
ejpam-4689	57	15	.	.	PUNCT
ejpam-4689	58	1	more	more	ADJ
ejpam-4689	58	2	about	about	ADP
ejpam-4689	58	3	the	the	DET
ejpam-4689	58	4	property	property	NOUN
ejpam-4689	58	5	of	of	ADP
ejpam-4689	58	6	the	the	DET
ejpam-4689	58	7	class	class	NOUN
ejpam-4689	58	8	of	of	ADP
ejpam-4689	58	9	(	(	PUNCT
ejpam-4689	58	10	p	p	X
ejpam-4689	58	11	,	,	PUNCT
ejpam-4689	58	12	h	h	NOUN
ejpam-4689	58	13	)	)	PUNCT
ejpam-4689	58	14	convex	convex	NOUN
ejpam-4689	58	15	functions	function	NOUN
ejpam-4689	58	16	can	can	AUX
ejpam-4689	58	17	be	be	AUX
ejpam-4689	58	18	found	find	VERB
ejpam-4689	58	19	here	here	ADV
ejpam-4689	58	20	[	[	X
ejpam-4689	58	21	13	13	NUM
ejpam-4689	58	22	]	]	PUNCT
ejpam-4689	58	23	.	.	PUNCT
ejpam-4689	59	1	definition	definition	NOUN
ejpam-4689	59	2	4	4	NUM
ejpam-4689	59	3	.	.	PUNCT
ejpam-4689	60	1	let	let	VERB
ejpam-4689	60	2	h	h	NOUN
ejpam-4689	60	3	:	:	PUNCT
ejpam-4689	60	4	j	j	X
ejpam-4689	60	5	→	→	PUNCT
ejpam-4689	60	6	r	r	NOUN
ejpam-4689	60	7	be	be	AUX
ejpam-4689	60	8	a	a	DET
ejpam-4689	60	9	non	non	ADJ
ejpam-4689	60	10	-	-	ADJ
ejpam-4689	60	11	negative	negative	ADJ
ejpam-4689	60	12	and	and	CCONJ
ejpam-4689	60	13	non	non	ADJ
ejpam-4689	60	14	-	-	ADJ
ejpam-4689	60	15	zero	zero	NUM
ejpam-4689	60	16	function	function	NOUN
ejpam-4689	60	17	and	and	CCONJ
ejpam-4689	60	18	it	it	PRON
ejpam-4689	60	19	is	be	AUX
ejpam-4689	60	20	also	also	ADV
ejpam-4689	60	21	assumed	assume	VERB
ejpam-4689	60	22	that	that	SCONJ
ejpam-4689	60	23	(	(	PUNCT
ejpam-4689	60	24	0	0	NUM
ejpam-4689	60	25	,	,	PUNCT
ejpam-4689	60	26	1	1	NUM
ejpam-4689	60	27	)	)	PUNCT
ejpam-4689	61	1	⊂	⊂	PROPN
ejpam-4689	61	2	j	j	PROPN
ejpam-4689	61	3	.	.	PUNCT
ejpam-4689	62	1	we	we	PRON
ejpam-4689	62	2	say	say	VERB
ejpam-4689	62	3	that	that	SCONJ
ejpam-4689	62	4	f	f	X
ejpam-4689	62	5	:	:	PUNCT
ejpam-4689	62	6	i	i	PRON
ejpam-4689	62	7	→	→	PUNCT
ejpam-4689	62	8	r	r	NOUN
ejpam-4689	62	9	is	be	AUX
ejpam-4689	62	10	a	a	DET
ejpam-4689	62	11	(	(	PUNCT
ejpam-4689	62	12	p	p	NOUN
ejpam-4689	62	13	,	,	PUNCT
ejpam-4689	62	14	h)-convex	h)-convex	NOUN
ejpam-4689	62	15	function	function	NOUN
ejpam-4689	62	16	or	or	CCONJ
ejpam-4689	62	17	that	that	SCONJ
ejpam-4689	62	18	f	f	PROPN
ejpam-4689	62	19	belongs	belong	VERB
ejpam-4689	62	20	to	to	ADP
ejpam-4689	62	21	the	the	DET
ejpam-4689	62	22	class	class	NOUN
ejpam-4689	62	23	ghx(h	ghx(h	PROPN
ejpam-4689	62	24	,	,	PUNCT
ejpam-4689	62	25	p	p	X
ejpam-4689	62	26	,	,	PUNCT
ejpam-4689	62	27	i	i	PROPN
ejpam-4689	62	28	)	)	PUNCT
ejpam-4689	62	29	,	,	PUNCT
ejpam-4689	62	30	if	if	SCONJ
ejpam-4689	62	31	f	f	PROPN
ejpam-4689	62	32	is	be	AUX
ejpam-4689	62	33	non	non	ADJ
ejpam-4689	62	34	-	-	ADJ
ejpam-4689	62	35	negative	negative	ADJ
ejpam-4689	62	36	and	and	CCONJ
ejpam-4689	62	37	f([αρp1	f([αρp1	NOUN
ejpam-4689	62	38	+	+	CCONJ
ejpam-4689	62	39	(	(	PUNCT
ejpam-4689	62	40	1−	1−	NUM
ejpam-4689	62	41	α)ρp2	α)ρp2	NOUN
ejpam-4689	62	42	]	]	PUNCT
ejpam-4689	62	43	1	1	NUM
ejpam-4689	62	44	p	p	NOUN
ejpam-4689	62	45	)	)	PUNCT
ejpam-4689	62	46	⩽	⩽	ADJ
ejpam-4689	62	47	h(α)f(ρ1	h(α)f(ρ1	PROPN
ejpam-4689	62	48	)	)	PUNCT
ejpam-4689	63	1	+	+	NUM
ejpam-4689	63	2	h(1−	h(1−	PROPN
ejpam-4689	63	3	α)f(ρ2	α)f(ρ2	NOUN
ejpam-4689	63	4	)	)	PUNCT
ejpam-4689	63	5	for	for	ADP
ejpam-4689	63	6	all	all	DET
ejpam-4689	63	7	ρ1	ρ1	NOUN
ejpam-4689	63	8	,	,	PUNCT
ejpam-4689	64	1	ρ2	ρ2	NOUN
ejpam-4689	64	2	∈	∈	PROPN
ejpam-4689	64	3	i	i	PRON
ejpam-4689	64	4	and	and	CCONJ
ejpam-4689	64	5	α	α	PRON
ejpam-4689	64	6	∈	∈	PROPN
ejpam-4689	64	7	(	(	PUNCT
ejpam-4689	64	8	0	0	NUM
ejpam-4689	64	9	,	,	PUNCT
ejpam-4689	64	10	1	1	NUM
ejpam-4689	64	11	)	)	PUNCT
ejpam-4689	64	12	.	.	PUNCT
ejpam-4689	65	1	similarly	similarly	ADV
ejpam-4689	65	2	,	,	PUNCT
ejpam-4689	65	3	if	if	SCONJ
ejpam-4689	65	4	the	the	DET
ejpam-4689	65	5	inequality	inequality	NOUN
ejpam-4689	65	6	is	be	AUX
ejpam-4689	65	7	reversed	reverse	VERB
ejpam-4689	65	8	,	,	PUNCT
ejpam-4689	65	9	then	then	ADV
ejpam-4689	65	10	f	f	PROPN
ejpam-4689	65	11	is	be	AUX
ejpam-4689	65	12	said	say	VERB
ejpam-4689	65	13	to	to	PART
ejpam-4689	65	14	be	be	AUX
ejpam-4689	65	15	a	a	DET
ejpam-4689	65	16	(	(	PUNCT
ejpam-4689	65	17	p	p	X
ejpam-4689	65	18	,	,	PUNCT
ejpam-4689	65	19	h)-concave	h)-concave	PUNCT
ejpam-4689	65	20	function	function	NOUN
ejpam-4689	65	21	or	or	CCONJ
ejpam-4689	65	22	belong	belong	VERB
ejpam-4689	65	23	to	to	ADP
ejpam-4689	65	24	the	the	DET
ejpam-4689	65	25	class	class	NOUN
ejpam-4689	65	26	ghv(h	ghv(h	PROPN
ejpam-4689	65	27	,	,	PUNCT
ejpam-4689	65	28	p	p	X
ejpam-4689	65	29	,	,	PUNCT
ejpam-4689	65	30	i	i	PROPN
ejpam-4689	65	31	)	)	PUNCT
ejpam-4689	65	32	.	.	PUNCT
ejpam-4689	66	1	the	the	DET
ejpam-4689	66	2	following	follow	VERB
ejpam-4689	66	3	definition	definition	NOUN
ejpam-4689	66	4	is	be	AUX
ejpam-4689	66	5	due	due	ADJ
ejpam-4689	66	6	to	to	ADP
ejpam-4689	66	7	m.	m.	PROPN
ejpam-4689	66	8	emin	emin	PROPN
ejpam-4689	66	9	ozdemir	ozdemir	PROPN
ejpam-4689	66	10	et	et	PROPN
ejpam-4689	66	11	al	al	PROPN
ejpam-4689	66	12	.	.	PUNCT
ejpam-4689	67	1	[	[	X
ejpam-4689	67	2	29	29	NUM
ejpam-4689	67	3	]	]	PUNCT
ejpam-4689	67	4	,	,	PUNCT
ejpam-4689	67	5	it	it	PRON
ejpam-4689	67	6	generalizes	generalize	VERB
ejpam-4689	67	7	the	the	DET
ejpam-4689	67	8	definition	definition	NOUN
ejpam-4689	67	9	of	of	ADP
ejpam-4689	67	10	hconvex	hconvex	PROPN
ejpam-4689	67	11	functions	function	NOUN
ejpam-4689	67	12	.	.	PUNCT
ejpam-4689	68	1	definition	definition	NOUN
ejpam-4689	68	2	5	5	NUM
ejpam-4689	68	3	.	.	PUNCT
ejpam-4689	69	1	let	let	VERB
ejpam-4689	69	2	j	j	PROPN
ejpam-4689	69	3	⊂	⊂	PROPN
ejpam-4689	69	4	r	r	PRON
ejpam-4689	69	5	be	be	AUX
ejpam-4689	69	6	an	an	DET
ejpam-4689	69	7	interval	interval	NOUN
ejpam-4689	69	8	containing	contain	VERB
ejpam-4689	69	9	(	(	PUNCT
ejpam-4689	69	10	0	0	NUM
ejpam-4689	69	11	,	,	PUNCT
ejpam-4689	69	12	1	1	NUM
ejpam-4689	69	13	)	)	PUNCT
ejpam-4689	69	14	and	and	CCONJ
ejpam-4689	69	15	let	let	VERB
ejpam-4689	69	16	h	h	NOUN
ejpam-4689	69	17	:	:	PUNCT
ejpam-4689	69	18	j	j	X
ejpam-4689	69	19	→	→	PUNCT
ejpam-4689	69	20	r	r	NOUN
ejpam-4689	69	21	be	be	AUX
ejpam-4689	69	22	a	a	DET
ejpam-4689	69	23	nonnegative	nonnegative	ADJ
ejpam-4689	69	24	function	function	NOUN
ejpam-4689	69	25	.	.	PUNCT
ejpam-4689	70	1	if	if	SCONJ
ejpam-4689	70	2	f	f	X
ejpam-4689	70	3	:	:	PUNCT
ejpam-4689	71	1	[	[	X
ejpam-4689	71	2	0	0	NUM
ejpam-4689	71	3	,	,	PUNCT
ejpam-4689	71	4	b	b	NOUN
ejpam-4689	71	5	]	]	X
ejpam-4689	71	6	→	→	PUNCT
ejpam-4689	71	7	r	r	NOUN
ejpam-4689	71	8	is	be	AUX
ejpam-4689	71	9	a	a	DET
ejpam-4689	71	10	(	(	PUNCT
ejpam-4689	71	11	h	h	NOUN
ejpam-4689	71	12	-	-	PUNCT
ejpam-4689	71	13	m)-convex	m)-convex	NOUN
ejpam-4689	71	14	function	function	NOUN
ejpam-4689	71	15	,	,	PUNCT
ejpam-4689	71	16	if	if	SCONJ
ejpam-4689	71	17	f	f	PROPN
ejpam-4689	71	18	is	be	AUX
ejpam-4689	71	19	non	non	ADJ
ejpam-4689	71	20	-	-	ADJ
ejpam-4689	71	21	negative	negative	ADJ
ejpam-4689	71	22	and	and	CCONJ
ejpam-4689	71	23	,	,	PUNCT
ejpam-4689	71	24	for	for	ADP
ejpam-4689	71	25	all	all	DET
ejpam-4689	71	26	ρ1	ρ1	NOUN
ejpam-4689	71	27	,	,	PUNCT
ejpam-4689	71	28	ρ2	ρ2	PROPN
ejpam-4689	71	29	∈	∈	PROPN
ejpam-4689	72	1	[	[	X
ejpam-4689	72	2	0	0	NUM
ejpam-4689	72	3	,	,	PUNCT
ejpam-4689	72	4	b],m	b],m	ADP
ejpam-4689	72	5	∈	∈	PROPN
ejpam-4689	73	1	[	[	X
ejpam-4689	73	2	0	0	NUM
ejpam-4689	73	3	,	,	PUNCT
ejpam-4689	73	4	1	1	NUM
ejpam-4689	73	5	]	]	PUNCT
ejpam-4689	73	6	and	and	CCONJ
ejpam-4689	73	7	α	α	PRON
ejpam-4689	73	8	∈	∈	PROPN
ejpam-4689	73	9	(	(	PUNCT
ejpam-4689	73	10	0	0	NUM
ejpam-4689	73	11	,	,	PUNCT
ejpam-4689	73	12	1	1	NUM
ejpam-4689	73	13	)	)	PUNCT
ejpam-4689	73	14	,	,	PUNCT
ejpam-4689	73	15	one	one	PRON
ejpam-4689	73	16	has	have	VERB
ejpam-4689	73	17	f(αρ1	f(αρ1	NOUN
ejpam-4689	73	18	+	+	PROPN
ejpam-4689	73	19	m(1−	m(1−	PROPN
ejpam-4689	73	20	α)ρ2	α)ρ2	PROPN
ejpam-4689	73	21	)	)	PUNCT
ejpam-4689	73	22	⩽	⩽	PROPN
ejpam-4689	73	23	h(α)f(ρ1	h(α)f(ρ1	PROPN
ejpam-4689	73	24	)	)	PUNCT
ejpam-4689	74	1	+	+	ADV
ejpam-4689	74	2	mh(1−	mh(1−	ADJ
ejpam-4689	74	3	α)f(ρ2	α)f(ρ2	NOUN
ejpam-4689	74	4	)	)	PUNCT
ejpam-4689	74	5	.	.	PUNCT
ejpam-4689	75	1	for	for	ADP
ejpam-4689	75	2	suitable	suitable	ADJ
ejpam-4689	75	3	choices	choice	NOUN
ejpam-4689	75	4	of	of	ADP
ejpam-4689	75	5	h	h	NOUN
ejpam-4689	75	6	and	and	CCONJ
ejpam-4689	75	7	m	m	PROPN
ejpam-4689	75	8	,	,	PUNCT
ejpam-4689	75	9	the	the	DET
ejpam-4689	75	10	class	class	NOUN
ejpam-4689	75	11	of	of	ADP
ejpam-4689	75	12	(	(	PUNCT
ejpam-4689	75	13	h	h	NOUN
ejpam-4689	75	14	–	–	PUNCT
ejpam-4689	75	15	m)-convex	m)-convex	NUM
ejpam-4689	75	16	functions	function	NOUN
ejpam-4689	75	17	is	be	AUX
ejpam-4689	75	18	reduced	reduce	VERB
ejpam-4689	75	19	to	to	ADP
ejpam-4689	75	20	different	different	ADJ
ejpam-4689	75	21	known	know	VERB
ejpam-4689	75	22	classes	class	NOUN
ejpam-4689	75	23	of	of	ADP
ejpam-4689	75	24	convex	convex	NOUN
ejpam-4689	75	25	and	and	CCONJ
ejpam-4689	75	26	related	related	ADJ
ejpam-4689	75	27	functions	function	NOUN
ejpam-4689	75	28	defined	define	VERB
ejpam-4689	75	29	on	on	ADP
ejpam-4689	75	30	[	[	X
ejpam-4689	75	31	0	0	NUM
ejpam-4689	75	32	,	,	PUNCT
ejpam-4689	75	33	b	b	NOUN
ejpam-4689	75	34	]	]	PUNCT
ejpam-4689	75	35	given	give	VERB
ejpam-4689	75	36	in	in	ADP
ejpam-4689	75	37	the	the	DET
ejpam-4689	75	38	following	follow	VERB
ejpam-4689	75	39	remark	remark	NOUN
ejpam-4689	75	40	.	.	PUNCT
ejpam-4689	76	1	in	in	ADP
ejpam-4689	76	2	the	the	DET
ejpam-4689	76	3	following	following	ADJ
ejpam-4689	76	4	cases	case	NOUN
ejpam-4689	76	5	,	,	PUNCT
ejpam-4689	76	6	we	we	PRON
ejpam-4689	76	7	fix	fix	VERB
ejpam-4689	76	8	various	various	ADJ
ejpam-4689	76	9	parameters	parameter	NOUN
ejpam-4689	76	10	in	in	ADP
ejpam-4689	76	11	the	the	DET
ejpam-4689	76	12	(	(	PUNCT
ejpam-4689	76	13	h	h	NOUN
ejpam-4689	76	14	-	-	PUNCT
ejpam-4689	76	15	m)-convexity	m)-convexity	NOUN
ejpam-4689	76	16	to	to	PART
ejpam-4689	76	17	obtain	obtain	VERB
ejpam-4689	76	18	various	various	ADJ
ejpam-4689	76	19	other	other	ADJ
ejpam-4689	76	20	types	type	NOUN
ejpam-4689	76	21	of	of	ADP
ejpam-4689	76	22	convexity	convexity	NOUN
ejpam-4689	76	23	:	:	PUNCT
ejpam-4689	76	24	1	1	X
ejpam-4689	76	25	.	.	X
ejpam-4689	77	1	if	if	SCONJ
ejpam-4689	77	2	m	m	ADV
ejpam-4689	77	3	=	=	NOUN
ejpam-4689	77	4	1	1	NUM
ejpam-4689	77	5	,	,	PUNCT
ejpam-4689	77	6	then	then	ADV
ejpam-4689	77	7	we	we	PRON
ejpam-4689	77	8	get	get	VERB
ejpam-4689	77	9	an	an	DET
ejpam-4689	77	10	h	h	NOUN
ejpam-4689	77	11	-	-	PUNCT
ejpam-4689	77	12	convex	convex	ADJ
ejpam-4689	77	13	function	function	NOUN
ejpam-4689	77	14	.	.	PUNCT
ejpam-4689	78	1	2	2	X
ejpam-4689	78	2	.	.	X
ejpam-4689	78	3	if	if	SCONJ
ejpam-4689	78	4	h(α	h(α	ADV
ejpam-4689	78	5	)	)	PUNCT
ejpam-4689	79	1	=	=	SYM
ejpam-4689	79	2	α	α	X
ejpam-4689	79	3	,	,	PUNCT
ejpam-4689	79	4	then	then	ADV
ejpam-4689	79	5	we	we	PRON
ejpam-4689	79	6	get	get	VERB
ejpam-4689	79	7	an	an	DET
ejpam-4689	79	8	m	m	NOUN
ejpam-4689	79	9	-	-	ADJ
ejpam-4689	79	10	convex	convex	ADJ
ejpam-4689	79	11	function	function	NOUN
ejpam-4689	79	12	.	.	PUNCT
ejpam-4689	80	1	3	3	X
ejpam-4689	80	2	.	.	X
ejpam-4689	80	3	if	if	SCONJ
ejpam-4689	80	4	h(α	h(α	ADV
ejpam-4689	80	5	)	)	PUNCT
ejpam-4689	81	1	=	=	SYM
ejpam-4689	81	2	α	α	PROPN
ejpam-4689	81	3	and	and	CCONJ
ejpam-4689	81	4	m	m	PROPN
ejpam-4689	81	5	=	=	ADJ
ejpam-4689	81	6	1	1	NUM
ejpam-4689	81	7	,	,	PUNCT
ejpam-4689	81	8	then	then	ADV
ejpam-4689	81	9	we	we	PRON
ejpam-4689	81	10	get	get	VERB
ejpam-4689	81	11	a	a	DET
ejpam-4689	81	12	convex	convex	NOUN
ejpam-4689	81	13	function	function	NOUN
ejpam-4689	81	14	.	.	PUNCT
ejpam-4689	82	1	4	4	X
ejpam-4689	82	2	.	.	X
ejpam-4689	82	3	if	if	SCONJ
ejpam-4689	82	4	h(α	h(α	ADV
ejpam-4689	82	5	)	)	PUNCT
ejpam-4689	82	6	=	=	SYM
ejpam-4689	82	7	1	1	NUM
ejpam-4689	82	8	and	and	CCONJ
ejpam-4689	82	9	m	m	PROPN
ejpam-4689	82	10	=	=	ADJ
ejpam-4689	82	11	1	1	NUM
ejpam-4689	82	12	,	,	PUNCT
ejpam-4689	82	13	then	then	ADV
ejpam-4689	82	14	we	we	PRON
ejpam-4689	82	15	get	get	VERB
ejpam-4689	82	16	a	a	DET
ejpam-4689	82	17	p	p	NOUN
ejpam-4689	82	18	-	-	PUNCT
ejpam-4689	82	19	function	function	NOUN
ejpam-4689	82	20	.	.	PUNCT
ejpam-4689	83	1	5	5	X
ejpam-4689	83	2	.	.	X
ejpam-4689	83	3	if	if	SCONJ
ejpam-4689	83	4	h(α	h(α	ADV
ejpam-4689	83	5	)	)	PUNCT
ejpam-4689	84	1	=	=	SYM
ejpam-4689	84	2	αs	αs	INTJ
ejpam-4689	84	3	and	and	CCONJ
ejpam-4689	84	4	m	m	PROPN
ejpam-4689	84	5	=	=	ADJ
ejpam-4689	84	6	1	1	NUM
ejpam-4689	84	7	,	,	PUNCT
ejpam-4689	84	8	then	then	ADV
ejpam-4689	84	9	we	we	PRON
ejpam-4689	84	10	get	get	VERB
ejpam-4689	84	11	an	an	DET
ejpam-4689	84	12	s	s	NOUN
ejpam-4689	84	13	-	-	ADJ
ejpam-4689	84	14	convex	convex	ADJ
ejpam-4689	84	15	function	function	NOUN
ejpam-4689	84	16	in	in	ADP
ejpam-4689	84	17	the	the	DET
ejpam-4689	84	18	second	second	ADJ
ejpam-4689	84	19	sense	sense	NOUN
ejpam-4689	84	20	.	.	PUNCT
ejpam-4689	85	1	6	6	X
ejpam-4689	85	2	.	.	X
ejpam-4689	86	1	if	if	SCONJ
ejpam-4689	86	2	h(α	h(α	ADV
ejpam-4689	86	3	)	)	PUNCT
ejpam-4689	86	4	=	=	SYM
ejpam-4689	86	5	1	1	NUM
ejpam-4689	86	6	α	α	NOUN
ejpam-4689	86	7	and	and	CCONJ
ejpam-4689	86	8	m	m	PROPN
ejpam-4689	86	9	=	=	ADJ
ejpam-4689	86	10	1	1	NUM
ejpam-4689	86	11	,	,	PUNCT
ejpam-4689	86	12	then	then	ADV
ejpam-4689	86	13	we	we	PRON
ejpam-4689	86	14	get	get	VERB
ejpam-4689	86	15	a	a	DET
ejpam-4689	86	16	godunova	godunova	NOUN
ejpam-4689	86	17	–	–	PUNCT
ejpam-4689	86	18	levin	levin	PROPN
ejpam-4689	86	19	function	function	NOUN
ejpam-4689	86	20	.	.	PUNCT
ejpam-4689	87	1	7	7	X
ejpam-4689	87	2	.	.	X
ejpam-4689	87	3	if	if	SCONJ
ejpam-4689	87	4	h(α	h(α	ADV
ejpam-4689	87	5	)	)	PUNCT
ejpam-4689	87	6	=	=	SYM
ejpam-4689	88	1	1	1	NUM
ejpam-4689	88	2	αs	αs	INTJ
ejpam-4689	88	3	and	and	CCONJ
ejpam-4689	88	4	m	m	PROPN
ejpam-4689	88	5	=	=	ADJ
ejpam-4689	88	6	1	1	NUM
ejpam-4689	88	7	,	,	PUNCT
ejpam-4689	88	8	then	then	ADV
ejpam-4689	88	9	we	we	PRON
ejpam-4689	88	10	get	get	VERB
ejpam-4689	88	11	an	an	DET
ejpam-4689	88	12	s	s	PROPN
ejpam-4689	88	13	–	–	PUNCT
ejpam-4689	88	14	godunova	godunova	ADJ
ejpam-4689	88	15	–	–	PUNCT
ejpam-4689	88	16	levin	levin	PROPN
ejpam-4689	88	17	function	function	NOUN
ejpam-4689	88	18	of	of	ADP
ejpam-4689	88	19	the	the	DET
ejpam-4689	88	20	second	second	ADJ
ejpam-4689	88	21	kind	kind	NOUN
ejpam-4689	88	22	.	.	PUNCT
ejpam-4689	89	1	motivation	motivation	NOUN
ejpam-4689	89	2	behind	behind	ADP
ejpam-4689	89	3	defining	define	VERB
ejpam-4689	89	4	the	the	DET
ejpam-4689	89	5	following	follow	VERB
ejpam-4689	89	6	class	class	NOUN
ejpam-4689	89	7	of	of	ADP
ejpam-4689	89	8	convex	convex	NOUN
ejpam-4689	89	9	functions	function	NOUN
ejpam-4689	89	10	comes	come	VERB
ejpam-4689	89	11	from	from	ADP
ejpam-4689	89	12	the	the	DET
ejpam-4689	89	13	last	last	ADJ
ejpam-4689	89	14	two	two	NUM
ejpam-4689	89	15	defined	define	VERB
ejpam-4689	89	16	convex	convex	ADJ
ejpam-4689	89	17	classes	class	NOUN
ejpam-4689	89	18	,	,	PUNCT
ejpam-4689	89	19	as	as	SCONJ
ejpam-4689	89	20	this	this	DET
ejpam-4689	89	21	one	one	NOUN
ejpam-4689	89	22	unifies	unify	VERB
ejpam-4689	89	23	them	they	PRON
ejpam-4689	89	24	all	all	PRON
ejpam-4689	89	25	.	.	PUNCT
ejpam-4689	90	1	the	the	DET
ejpam-4689	90	2	following	follow	VERB
ejpam-4689	90	3	definition	definition	NOUN
ejpam-4689	90	4	given	give	VERB
ejpam-4689	90	5	by	by	ADP
ejpam-4689	90	6	jia	jia	PROPN
ejpam-4689	90	7	et	et	PROPN
ejpam-4689	90	8	al	al	PROPN
ejpam-4689	90	9	.	.	PUNCT
ejpam-4689	91	1	[	[	X
ejpam-4689	91	2	20	20	NUM
ejpam-4689	91	3	]	]	PUNCT
ejpam-4689	91	4	generalizes	generalize	VERB
ejpam-4689	91	5	all	all	DET
ejpam-4689	91	6	the	the	DET
ejpam-4689	91	7	previously	previously	ADV
ejpam-4689	91	8	defined	define	VERB
ejpam-4689	91	9	types	type	NOUN
ejpam-4689	91	10	of	of	ADP
ejpam-4689	91	11	convex	convex	NOUN
ejpam-4689	91	12	functions	function	NOUN
ejpam-4689	91	13	.	.	PUNCT
ejpam-4689	92	1	v.	v.	ADP
ejpam-4689	92	2	stojiljković	stojiljković	NOUN
ejpam-4689	92	3	/	/	SYM
ejpam-4689	92	4	eur	eur	PROPN
ejpam-4689	92	5	.	.	PUNCT
ejpam-4689	93	1	j.	j.	PROPN
ejpam-4689	93	2	pure	pure	PROPN
ejpam-4689	93	3	appl	appl	PROPN
ejpam-4689	93	4	.	.	PROPN
ejpam-4689	93	5	math	math	PROPN
ejpam-4689	93	6	,	,	PUNCT
ejpam-4689	93	7	16	16	NUM
ejpam-4689	93	8	(	(	PUNCT
ejpam-4689	93	9	1	1	NUM
ejpam-4689	93	10	)	)	PUNCT
ejpam-4689	93	11	(	(	PUNCT
ejpam-4689	93	12	2023	2023	NUM
ejpam-4689	93	13	)	)	PUNCT
ejpam-4689	93	14	,	,	PUNCT
ejpam-4689	93	15	503	503	NUM
ejpam-4689	93	16	-	-	SYM
ejpam-4689	93	17	522	522	NUM
ejpam-4689	93	18	506	506	NUM
ejpam-4689	93	19	definition	definition	NOUN
ejpam-4689	93	20	6	6	NUM
ejpam-4689	93	21	.	.	PUNCT
ejpam-4689	94	1	let	let	VERB
ejpam-4689	94	2	j	j	PROPN
ejpam-4689	94	3	⊂	⊂	PROPN
ejpam-4689	94	4	r	r	PRON
ejpam-4689	94	5	be	be	AUX
ejpam-4689	94	6	an	an	DET
ejpam-4689	94	7	interval	interval	NOUN
ejpam-4689	94	8	containing	contain	VERB
ejpam-4689	94	9	(	(	PUNCT
ejpam-4689	94	10	0	0	NUM
ejpam-4689	94	11	,	,	PUNCT
ejpam-4689	94	12	1	1	NUM
ejpam-4689	94	13	)	)	PUNCT
ejpam-4689	94	14	and	and	CCONJ
ejpam-4689	94	15	let	let	VERB
ejpam-4689	94	16	h	h	NOUN
ejpam-4689	94	17	:	:	PUNCT
ejpam-4689	94	18	j	j	X
ejpam-4689	94	19	→	→	PUNCT
ejpam-4689	94	20	r	r	NOUN
ejpam-4689	94	21	be	be	AUX
ejpam-4689	94	22	a	a	DET
ejpam-4689	94	23	nonnegative	nonnegative	ADJ
ejpam-4689	94	24	function	function	NOUN
ejpam-4689	94	25	.	.	PUNCT
ejpam-4689	95	1	let	let	VERB
ejpam-4689	95	2	i	i	PRON
ejpam-4689	95	3	⊂	⊂	PROPN
ejpam-4689	95	4	(	(	PUNCT
ejpam-4689	95	5	0,+∞	0,+∞	NUM
ejpam-4689	95	6	)	)	PUNCT
ejpam-4689	95	7	be	be	AUX
ejpam-4689	95	8	an	an	DET
ejpam-4689	95	9	interval	interval	NOUN
ejpam-4689	95	10	and	and	CCONJ
ejpam-4689	95	11	p	p	NOUN
ejpam-4689	95	12	∈	∈	PROPN
ejpam-4689	95	13	r	r	NOUN
ejpam-4689	95	14	\	\	PUNCT
ejpam-4689	95	15	{	{	PUNCT
ejpam-4689	95	16	0	0	NUM
ejpam-4689	95	17	}	}	PUNCT
ejpam-4689	95	18	.	.	PUNCT
ejpam-4689	96	1	a	a	DET
ejpam-4689	96	2	function	function	NOUN
ejpam-4689	96	3	f	f	NOUN
ejpam-4689	96	4	:	:	PUNCT
ejpam-4689	96	5	i	i	PRON
ejpam-4689	96	6	→	→	PUNCT
ejpam-4689	96	7	r	r	NOUN
ejpam-4689	96	8	is	be	AUX
ejpam-4689	96	9	said	say	VERB
ejpam-4689	96	10	to	to	PART
ejpam-4689	96	11	be	be	AUX
ejpam-4689	96	12	(	(	PUNCT
ejpam-4689	96	13	α	α	NOUN
ejpam-4689	96	14	,	,	PUNCT
ejpam-4689	96	15	h−m)-p	h−m)-p	X
ejpam-4689	96	16	convex	convex	PROPN
ejpam-4689	96	17	,	,	PUNCT
ejpam-4689	96	18	if	if	SCONJ
ejpam-4689	96	19	f	f	PROPN
ejpam-4689	96	20	(	(	PUNCT
ejpam-4689	96	21	(	(	PUNCT
ejpam-4689	96	22	tap	tap	VERB
ejpam-4689	96	23	+	+	SYM
ejpam-4689	96	24	m(1−	m(1−	ADJ
ejpam-4689	96	25	t)bp	t)bp	PROPN
ejpam-4689	96	26	)	)	PUNCT
ejpam-4689	96	27	1	1	NUM
ejpam-4689	96	28	p	p	NOUN
ejpam-4689	96	29	)	)	PUNCT
ejpam-4689	96	30	⩽	⩽	ADJ
ejpam-4689	96	31	h(tα)f(a	h(tα)f(a	NOUN
ejpam-4689	96	32	)	)	PUNCT
ejpam-4689	96	33	+	+	ADJ
ejpam-4689	96	34	mh(1−	mh(1−	PROPN
ejpam-4689	96	35	tα)f(b	tα)f(b	NOUN
ejpam-4689	96	36	)	)	PUNCT
ejpam-4689	96	37	holds	hold	VERB
ejpam-4689	96	38	provided	provide	VERB
ejpam-4689	96	39	(	(	PUNCT
ejpam-4689	96	40	tap	tap	VERB
ejpam-4689	96	41	+	+	NOUN
ejpam-4689	96	42	m(1−	m(1−	ADJ
ejpam-4689	96	43	t)bp	t)bp	PROPN
ejpam-4689	96	44	)	)	PUNCT
ejpam-4689	97	1	1	1	NUM
ejpam-4689	97	2	p	p	NOUN
ejpam-4689	97	3	∈	∈	X
ejpam-4689	98	1	i	i	PRON
ejpam-4689	98	2	for	for	ADP
ejpam-4689	98	3	t	t	PROPN
ejpam-4689	98	4	∈	∈	PROPN
ejpam-4689	99	1	[	[	X
ejpam-4689	99	2	0	0	NUM
ejpam-4689	99	3	,	,	PUNCT
ejpam-4689	99	4	1	1	NUM
ejpam-4689	99	5	]	]	PUNCT
ejpam-4689	99	6	and	and	CCONJ
ejpam-4689	99	7	(	(	PUNCT
ejpam-4689	99	8	α	α	NOUN
ejpam-4689	99	9	,	,	PUNCT
ejpam-4689	99	10	m	m	NOUN
ejpam-4689	99	11	)	)	PUNCT
ejpam-4689	99	12	∈	∈	PROPN
ejpam-4689	100	1	[	[	X
ejpam-4689	100	2	0	0	NUM
ejpam-4689	100	3	,	,	PUNCT
ejpam-4689	100	4	1]2	1]2	NUM
ejpam-4689	100	5	.	.	PUNCT
ejpam-4689	101	1	before	before	SCONJ
ejpam-4689	101	2	we	we	PRON
ejpam-4689	101	3	introduce	introduce	VERB
ejpam-4689	101	4	the	the	DET
ejpam-4689	101	5	fractional	fractional	ADJ
ejpam-4689	101	6	type	type	NOUN
ejpam-4689	101	7	integrals	integral	NOUN
ejpam-4689	101	8	,	,	PUNCT
ejpam-4689	101	9	we	we	PRON
ejpam-4689	101	10	need	need	VERB
ejpam-4689	101	11	the	the	DET
ejpam-4689	101	12	following	follow	VERB
ejpam-4689	101	13	definitions	definition	NOUN
ejpam-4689	101	14	.	.	PUNCT
ejpam-4689	102	1	the	the	DET
ejpam-4689	102	2	pochammer	pochammer	NOUN
ejpam-4689	102	3	k	k	NOUN
ejpam-4689	102	4	-	-	NOUN
ejpam-4689	102	5	symbol	symbol	NOUN
ejpam-4689	102	6	(	(	PUNCT
ejpam-4689	102	7	y)m	y)m	PROPN
ejpam-4689	102	8	,	,	PUNCT
ejpam-4689	102	9	k	k	PROPN
ejpam-4689	102	10	is	be	AUX
ejpam-4689	102	11	defined	define	VERB
ejpam-4689	102	12	as	as	SCONJ
ejpam-4689	102	13	(	(	PUNCT
ejpam-4689	102	14	see	see	VERB
ejpam-4689	102	15	[	[	X
ejpam-4689	102	16	1	1	NUM
ejpam-4689	102	17	]	]	NUM
ejpam-4689	102	18	)	)	PUNCT
ejpam-4689	102	19	(	(	PUNCT
ejpam-4689	102	20	y)m	y)m	NOUN
ejpam-4689	102	21	,	,	PUNCT
ejpam-4689	102	22	k	k	X
ejpam-4689	102	23	=	=	PUNCT
ejpam-4689	102	24	y(y	y(y	PROPN
ejpam-4689	102	25	+	+	CCONJ
ejpam-4689	102	26	k)(y	k)(y	PROPN
ejpam-4689	102	27	+	+	CCONJ
ejpam-4689	102	28	2k)	2k)	NUM
ejpam-4689	102	29	...	...	PUNCT
ejpam-4689	103	1	(y	(y	NOUN
ejpam-4689	104	1	+	+	CCONJ
ejpam-4689	104	2	(	(	PUNCT
ejpam-4689	104	3	m−	m−	PROPN
ejpam-4689	104	4	1)k	1)k	NUM
ejpam-4689	104	5	)	)	PUNCT
ejpam-4689	104	6	,	,	PUNCT
ejpam-4689	104	7	where	where	SCONJ
ejpam-4689	104	8	m	m	VERB
ejpam-4689	104	9	∈	∈	NOUN
ejpam-4689	104	10	n	n	ADV
ejpam-4689	104	11	∪	∪	VERB
ejpam-4689	104	12	0	0	NUM
ejpam-4689	104	13	,	,	PUNCT
ejpam-4689	104	14	k	k	PROPN
ejpam-4689	104	15	>	>	X
ejpam-4689	104	16	0	0	X
ejpam-4689	104	17	.	.	PUNCT
ejpam-4689	105	1	the	the	DET
ejpam-4689	105	2	k−gamma	k−gamma	PROPN
ejpam-4689	105	3	function	function	PROPN
ejpam-4689	105	4	γk	γk	PROPN
ejpam-4689	105	5	is	be	AUX
ejpam-4689	105	6	given	give	VERB
ejpam-4689	105	7	by	by	ADP
ejpam-4689	105	8	(	(	PUNCT
ejpam-4689	105	9	see	see	VERB
ejpam-4689	105	10	[	[	X
ejpam-4689	105	11	1	1	NUM
ejpam-4689	105	12	]	]	NUM
ejpam-4689	105	13	)	)	PUNCT
ejpam-4689	105	14	.	.	PUNCT
ejpam-4689	105	15	γk(y	γk(y	X
ejpam-4689	105	16	)	)	PUNCT
ejpam-4689	106	1	=	=	SYM
ejpam-4689	106	2	lim	lim	PROPN
ejpam-4689	106	3	m→+∞	m→+∞	PROPN
ejpam-4689	106	4	m!km(mk	m!km(mk	PROPN
ejpam-4689	106	5	)	)	PUNCT
ejpam-4689	106	6	y	y	PROPN
ejpam-4689	106	7	k	k	PROPN
ejpam-4689	106	8	−1	−1	NOUN
ejpam-4689	106	9	(	(	PUNCT
ejpam-4689	106	10	y)m	y)m	PROPN
ejpam-4689	106	11	,	,	PUNCT
ejpam-4689	106	12	k	k	PROPN
ejpam-4689	106	13	where	where	SCONJ
ejpam-4689	106	14	k	k	PROPN
ejpam-4689	106	15	>	>	X
ejpam-4689	106	16	0	0	PROPN
ejpam-4689	106	17	,	,	PUNCT
ejpam-4689	106	18	y	y	PROPN
ejpam-4689	106	19	∈	∈	PROPN
ejpam-4689	106	20	c	c	NOUN
ejpam-4689	106	21	\	\	X
ejpam-4689	106	22	kz−	kz−	PUNCT
ejpam-4689	106	23	∪	∪	ADP
ejpam-4689	106	24	0	0	NUM
ejpam-4689	106	25	.	.	PUNCT
ejpam-4689	107	1	when	when	SCONJ
ejpam-4689	107	2	k	k	PROPN
ejpam-4689	107	3	=	=	SYM
ejpam-4689	107	4	1	1	NUM
ejpam-4689	107	5	the	the	DET
ejpam-4689	107	6	above	above	ADJ
ejpam-4689	107	7	definitions	definition	NOUN
ejpam-4689	107	8	reduce	reduce	VERB
ejpam-4689	107	9	to	to	ADP
ejpam-4689	107	10	the	the	DET
ejpam-4689	107	11	pochammer	pochammer	NOUN
ejpam-4689	107	12	symbol	symbol	NOUN
ejpam-4689	107	13	(	(	PUNCT
ejpam-4689	107	14	y)m	y)m	X
ejpam-4689	107	15	(	(	PUNCT
ejpam-4689	107	16	y)m	y)m	X
ejpam-4689	107	17	=	=	SYM
ejpam-4689	107	18	{	{	PUNCT
ejpam-4689	107	19	∏m	∏m	NOUN
ejpam-4689	107	20	r=1(y	r=1(y	NOUN
ejpam-4689	107	21	+	+	PUNCT
ejpam-4689	107	22	r	r	NOUN
ejpam-4689	107	23	−	−	NUM
ejpam-4689	107	24	1),m	1),m	NUM
ejpam-4689	107	25	∈	∈	NOUN
ejpam-4689	107	26	n	n	NOUN
ejpam-4689	107	27	1,m	1,m	NOUN
ejpam-4689	107	28	=	=	SYM
ejpam-4689	107	29	0	0	NUM
ejpam-4689	107	30	and	and	CCONJ
ejpam-4689	107	31	γ	γ	PROPN
ejpam-4689	107	32	function	function	NOUN
ejpam-4689	107	33	defined	define	VERB
ejpam-4689	107	34	as	as	ADP
ejpam-4689	107	35	γ(t	γ(t	NOUN
ejpam-4689	107	36	)	)	PUNCT
ejpam-4689	107	37	=	=	SYM
ejpam-4689	108	1	∫	∫	PROPN
ejpam-4689	109	1	+	+	NUM
ejpam-4689	109	2	∞	∞	PROPN
ejpam-4689	109	3	0	0	PUNCT
ejpam-4689	110	1	e−zzt−1dz	e−zzt−1dz	PROPN
ejpam-4689	110	2	.	.	PUNCT
ejpam-4689	111	1	in	in	ADP
ejpam-4689	111	2	the	the	DET
ejpam-4689	111	3	following	following	NOUN
ejpam-4689	111	4	we	we	PRON
ejpam-4689	111	5	will	will	AUX
ejpam-4689	111	6	introduce	introduce	VERB
ejpam-4689	111	7	the	the	DET
ejpam-4689	111	8	fractional	fractional	ADJ
ejpam-4689	111	9	type	type	NOUN
ejpam-4689	111	10	integrals	integral	NOUN
ejpam-4689	111	11	which	which	PRON
ejpam-4689	111	12	will	will	AUX
ejpam-4689	111	13	be	be	AUX
ejpam-4689	111	14	used	use	VERB
ejpam-4689	111	15	throughout	throughout	ADP
ejpam-4689	111	16	the	the	DET
ejpam-4689	111	17	paper	paper	NOUN
ejpam-4689	111	18	.	.	PUNCT
ejpam-4689	112	1	definition	definition	NOUN
ejpam-4689	112	2	7	7	NUM
ejpam-4689	112	3	.	.	PUNCT
ejpam-4689	113	1	the	the	DET
ejpam-4689	113	2	riemann	riemann	PROPN
ejpam-4689	113	3	–	–	PUNCT
ejpam-4689	113	4	liouville	liouville	VERB
ejpam-4689	113	5	fractional	fractional	ADJ
ejpam-4689	113	6	integral	integral	ADJ
ejpam-4689	113	7	is	be	AUX
ejpam-4689	113	8	defined	define	VERB
ejpam-4689	113	9	by	by	ADP
ejpam-4689	113	10	[	[	X
ejpam-4689	113	11	18	18	NUM
ejpam-4689	113	12	,	,	PUNCT
ejpam-4689	113	13	28	28	NUM
ejpam-4689	113	14	,	,	PUNCT
ejpam-4689	113	15	44	44	NUM
ejpam-4689	113	16	]	]	PUNCT
ejpam-4689	113	17	where	where	SCONJ
ejpam-4689	113	18	ℜ(α	ℜ(α	ADP
ejpam-4689	113	19	)	)	PUNCT
ejpam-4689	113	20	>	>	X
ejpam-4689	113	21	0	0	PUNCT
ejpam-4689	114	1	and	and	CCONJ
ejpam-4689	114	2	f	f	PROPN
ejpam-4689	114	3	is	be	AUX
ejpam-4689	114	4	locally	locally	ADV
ejpam-4689	114	5	integrable	integrable	ADJ
ejpam-4689	114	6	.	.	PUNCT
ejpam-4689	115	1	ai	ai	VERB
ejpam-4689	115	2	α	α	PROPN
ejpam-4689	115	3	t	t	NOUN
ejpam-4689	115	4	f(t	f(t	PROPN
ejpam-4689	115	5	)	)	PUNCT
ejpam-4689	115	6	=	=	SYM
ejpam-4689	115	7	1	1	NUM
ejpam-4689	115	8	γ(α	γ(α	NOUN
ejpam-4689	115	9	)	)	PUNCT
ejpam-4689	116	1	∫	∫	PROPN
ejpam-4689	116	2	t	t	PROPN
ejpam-4689	116	3	a	a	X
ejpam-4689	116	4	(	(	PUNCT
ejpam-4689	116	5	t−	t−	PROPN
ejpam-4689	116	6	x)α−1f(x)dx	x)α−1f(x)dx	PROPN
ejpam-4689	116	7	.	.	PUNCT
ejpam-4689	117	1	the	the	DET
ejpam-4689	117	2	following	follow	VERB
ejpam-4689	117	3	definition	definition	NOUN
ejpam-4689	117	4	represents	represent	VERB
ejpam-4689	117	5	the	the	DET
ejpam-4689	117	6	riemann	riemann	PROPN
ejpam-4689	117	7	-	-	PUNCT
ejpam-4689	117	8	liouville	liouville	VERB
ejpam-4689	117	9	k	k	PROPN
ejpam-4689	117	10	fractional	fractional	ADJ
ejpam-4689	117	11	integral	integral	ADJ
ejpam-4689	117	12	which	which	PRON
ejpam-4689	117	13	was	be	AUX
ejpam-4689	117	14	defined	define	VERB
ejpam-4689	117	15	by	by	ADP
ejpam-4689	117	16	mubeen	mubeen	PROPN
ejpam-4689	117	17	and	and	CCONJ
ejpam-4689	117	18	habibullah	habibullah	NOUN
ejpam-4689	117	19	[	[	X
ejpam-4689	117	20	27	27	NUM
ejpam-4689	117	21	]	]	PUNCT
ejpam-4689	117	22	.	.	PUNCT
ejpam-4689	118	1	definition	definition	NOUN
ejpam-4689	118	2	8	8	NUM
ejpam-4689	118	3	.	.	PUNCT
ejpam-4689	119	1	let	let	VERB
ejpam-4689	119	2	g	g	PROPN
ejpam-4689	119	3	∈	∈	PROPN
ejpam-4689	119	4	l1[a	l1[a	NOUN
ejpam-4689	119	5	,	,	PUNCT
ejpam-4689	119	6	b	b	NOUN
ejpam-4689	119	7	]	]	X
ejpam-4689	119	8	.	.	PUNCT
ejpam-4689	120	1	then	then	ADV
ejpam-4689	120	2	the	the	DET
ejpam-4689	120	3	k	k	ADJ
ejpam-4689	120	4	-	-	PUNCT
ejpam-4689	120	5	fractional	fractional	ADJ
ejpam-4689	120	6	integrals	integral	NOUN
ejpam-4689	120	7	of	of	ADP
ejpam-4689	120	8	order	order	NOUN
ejpam-4689	120	9	α	α	NOUN
ejpam-4689	120	10	,	,	PUNCT
ejpam-4689	120	11	k	k	PROPN
ejpam-4689	120	12	>	>	X
ejpam-4689	120	13	0	0	PUNCT
ejpam-4689	121	1	with	with	SCONJ
ejpam-4689	121	2	a	a	PRON
ejpam-4689	121	3	⩾	⩾	PROPN
ejpam-4689	121	4	0	0	NUM
ejpam-4689	121	5	are	be	AUX
ejpam-4689	121	6	defined	define	VERB
ejpam-4689	121	7	as	as	ADP
ejpam-4689	121	8	:	:	PUNCT
ejpam-4689	121	9	iα	iα	INTJ
ejpam-4689	121	10	,	,	PUNCT
ejpam-4689	121	11	k	k	PROPN
ejpam-4689	121	12	a+	a+	PUNCT
ejpam-4689	121	13	g(x	g(x	NOUN
ejpam-4689	121	14	)	)	PUNCT
ejpam-4689	121	15	=	=	SYM
ejpam-4689	121	16	1	1	NUM
ejpam-4689	121	17	kγk(α	kγk(α	PROPN
ejpam-4689	121	18	)	)	PUNCT
ejpam-4689	121	19	∫	∫	PROPN
ejpam-4689	122	1	x	x	X
ejpam-4689	122	2	a	a	PRON
ejpam-4689	122	3	(	(	PUNCT
ejpam-4689	122	4	x−	x−	PROPN
ejpam-4689	122	5	t	t	PROPN
ejpam-4689	122	6	)	)	PUNCT
ejpam-4689	122	7	α	α	PROPN
ejpam-4689	122	8	k	k	PROPN
ejpam-4689	122	9	−1g(t)dt	−1g(t)dt	PROPN
ejpam-4689	122	10	,	,	PUNCT
ejpam-4689	122	11	x	x	X
ejpam-4689	122	12	>	>	X
ejpam-4689	122	13	a	a	PRON
ejpam-4689	122	14	v.	v.	X
ejpam-4689	122	15	stojiljković	stojiljković	NOUN
ejpam-4689	122	16	/	/	SYM
ejpam-4689	122	17	eur	eur	PROPN
ejpam-4689	122	18	.	.	PUNCT
ejpam-4689	123	1	j.	j.	PROPN
ejpam-4689	123	2	pure	pure	PROPN
ejpam-4689	123	3	appl	appl	PROPN
ejpam-4689	123	4	.	.	PROPN
ejpam-4689	123	5	math	math	PROPN
ejpam-4689	123	6	,	,	PUNCT
ejpam-4689	123	7	16	16	NUM
ejpam-4689	123	8	(	(	PUNCT
ejpam-4689	123	9	1	1	NUM
ejpam-4689	123	10	)	)	PUNCT
ejpam-4689	123	11	(	(	PUNCT
ejpam-4689	123	12	2023	2023	NUM
ejpam-4689	123	13	)	)	PUNCT
ejpam-4689	123	14	,	,	PUNCT
ejpam-4689	123	15	503	503	NUM
ejpam-4689	123	16	-	-	SYM
ejpam-4689	123	17	522	522	NUM
ejpam-4689	123	18	507	507	NUM
ejpam-4689	123	19	and	and	CCONJ
ejpam-4689	123	20	iα	iα	PROPN
ejpam-4689	123	21	,	,	PUNCT
ejpam-4689	123	22	k	k	PROPN
ejpam-4689	123	23	b−	b−	PROPN
ejpam-4689	123	24	g(x	g(x	PROPN
ejpam-4689	123	25	)	)	PUNCT
ejpam-4689	124	1	=	=	SYM
ejpam-4689	124	2	1	1	NUM
ejpam-4689	124	3	kγk(α	kγk(α	PROPN
ejpam-4689	124	4	)	)	PUNCT
ejpam-4689	124	5	∫	∫	PROPN
ejpam-4689	125	1	b	b	PROPN
ejpam-4689	125	2	x	x	X
ejpam-4689	125	3	(	(	PUNCT
ejpam-4689	125	4	t−	t−	PROPN
ejpam-4689	125	5	x	x	SYM
ejpam-4689	125	6	)	)	PUNCT
ejpam-4689	125	7	α	α	PROPN
ejpam-4689	125	8	k	k	PROPN
ejpam-4689	125	9	−1g(t)dt	−1g(t)dt	PROPN
ejpam-4689	125	10	,	,	PUNCT
ejpam-4689	125	11	x	x	X
ejpam-4689	125	12	<	<	X
ejpam-4689	125	13	b	b	X
ejpam-4689	125	14	where	where	SCONJ
ejpam-4689	125	15	γk	γk	NOUN
ejpam-4689	125	16	(	(	PUNCT
ejpam-4689	125	17	.	.	PUNCT
ejpam-4689	125	18	)	)	PUNCT
ejpam-4689	125	19	is	be	AUX
ejpam-4689	125	20	the	the	DET
ejpam-4689	125	21	k	k	PROPN
ejpam-4689	125	22	-	-	PUNCT
ejpam-4689	125	23	gamma	gamma	NOUN
ejpam-4689	125	24	function	function	NOUN
ejpam-4689	125	25	.	.	PUNCT
ejpam-4689	126	1	the	the	DET
ejpam-4689	126	2	following	follow	VERB
ejpam-4689	126	3	definition	definition	NOUN
ejpam-4689	126	4	is	be	AUX
ejpam-4689	126	5	due	due	ADJ
ejpam-4689	126	6	to	to	ADP
ejpam-4689	126	7	udita	udita	PROPN
ejpam-4689	126	8	katugampola	katugampola	PROPN
ejpam-4689	127	1	[	[	X
ejpam-4689	127	2	21	21	NUM
ejpam-4689	127	3	]	]	PUNCT
ejpam-4689	127	4	of	of	ADP
ejpam-4689	127	5	katugampola	katugampola	ADJ
ejpam-4689	127	6	fractional	fractional	ADJ
ejpam-4689	127	7	integrals	integral	NOUN
ejpam-4689	127	8	,	,	PUNCT
ejpam-4689	127	9	which	which	PRON
ejpam-4689	127	10	generalizes	generalize	VERB
ejpam-4689	127	11	the	the	DET
ejpam-4689	127	12	riemann	riemann	PROPN
ejpam-4689	127	13	-	-	PUNCT
ejpam-4689	127	14	liouville	liouville	VERB
ejpam-4689	127	15	fractional	fractional	ADJ
ejpam-4689	127	16	integrals	integral	NOUN
ejpam-4689	127	17	.	.	PUNCT
ejpam-4689	128	1	definition	definition	NOUN
ejpam-4689	128	2	9	9	NUM
ejpam-4689	128	3	.	.	PUNCT
ejpam-4689	129	1	let	let	VERB
ejpam-4689	129	2	[	[	X
ejpam-4689	129	3	a	a	X
ejpam-4689	129	4	,	,	PUNCT
ejpam-4689	129	5	b	b	NOUN
ejpam-4689	129	6	]	]	X
ejpam-4689	129	7	⊂	⊂	X
ejpam-4689	129	8	r	r	PRON
ejpam-4689	129	9	be	be	AUX
ejpam-4689	129	10	a	a	DET
ejpam-4689	129	11	finite	finite	ADJ
ejpam-4689	129	12	interval	interval	NOUN
ejpam-4689	129	13	.	.	PUNCT
ejpam-4689	130	1	then	then	ADV
ejpam-4689	130	2	,	,	PUNCT
ejpam-4689	130	3	the	the	DET
ejpam-4689	130	4	left	leave	VERB
ejpam-4689	130	5	-	-	PUNCT
ejpam-4689	130	6	and	and	CCONJ
ejpam-4689	130	7	right	right	ADV
ejpam-4689	130	8	-	-	PUNCT
ejpam-4689	130	9	sided	side	VERB
ejpam-4689	130	10	katugampola	katugampola	ADJ
ejpam-4689	130	11	fractional	fractional	ADJ
ejpam-4689	130	12	integrals	integral	NOUN
ejpam-4689	130	13	of	of	ADP
ejpam-4689	130	14	order	order	NOUN
ejpam-4689	130	15	α	α	PROPN
ejpam-4689	130	16	>	>	X
ejpam-4689	130	17	0	0	NUM
ejpam-4689	130	18	of	of	ADP
ejpam-4689	130	19	f	f	PROPN
ejpam-4689	130	20	∈	∈	PROPN
ejpam-4689	131	1	[	[	X
ejpam-4689	131	2	a	a	X
ejpam-4689	131	3	,	,	PUNCT
ejpam-4689	131	4	b	b	NOUN
ejpam-4689	131	5	]	]	PUNCT
ejpam-4689	131	6	are	be	AUX
ejpam-4689	131	7	defined	define	VERB
ejpam-4689	131	8	by	by	ADP
ejpam-4689	131	9	piαa+f(x	piαa+f(x	NOUN
ejpam-4689	131	10	)	)	PUNCT
ejpam-4689	131	11	:	:	PUNCT
ejpam-4689	131	12	=	=	SYM
ejpam-4689	131	13	p1−α	p1−α	PROPN
ejpam-4689	131	14	γ(α	γ(α	PROPN
ejpam-4689	131	15	)	)	PUNCT
ejpam-4689	131	16	∫	∫	PROPN
ejpam-4689	132	1	x	x	X
ejpam-4689	132	2	a	a	DET
ejpam-4689	132	3	tp−1	tp−1	PROPN
ejpam-4689	132	4	(	(	PUNCT
ejpam-4689	132	5	xp	xp	INTJ
ejpam-4689	132	6	−	−	PROPN
ejpam-4689	132	7	tp)1−α	tp)1−α	PROPN
ejpam-4689	132	8	f(t)dt	f(t)dt	NOUN
ejpam-4689	132	9	and	and	CCONJ
ejpam-4689	132	10	piαb−f(x	piαb−f(x	PROPN
ejpam-4689	132	11	)	)	PUNCT
ejpam-4689	132	12	:	:	PUNCT
ejpam-4689	132	13	=	=	SYM
ejpam-4689	132	14	p1−α	p1−α	PROPN
ejpam-4689	132	15	γ(α	γ(α	PROPN
ejpam-4689	132	16	)	)	PUNCT
ejpam-4689	133	1	∫	∫	PROPN
ejpam-4689	134	1	b	b	NOUN
ejpam-4689	134	2	x	x	X
ejpam-4689	134	3	tp−1	tp−1	PROPN
ejpam-4689	134	4	(	(	PUNCT
ejpam-4689	134	5	tp	tp	ADP
ejpam-4689	134	6	−	−	PROPN
ejpam-4689	134	7	xp)1−α	xp)1−α	PROPN
ejpam-4689	134	8	f(t)dt	f(t)dt	PROPN
ejpam-4689	134	9	with	with	ADP
ejpam-4689	134	10	a	a	DET
ejpam-4689	134	11	<	<	X
ejpam-4689	134	12	x	x	X
ejpam-4689	134	13	<	<	X
ejpam-4689	134	14	b	b	PROPN
ejpam-4689	134	15	and	and	CCONJ
ejpam-4689	134	16	p	p	X
ejpam-4689	134	17	>	>	X
ejpam-4689	134	18	0	0	NUM
ejpam-4689	134	19	,	,	PUNCT
ejpam-4689	134	20	if	if	SCONJ
ejpam-4689	134	21	the	the	DET
ejpam-4689	134	22	integrals	integral	NOUN
ejpam-4689	134	23	exist	exist	VERB
ejpam-4689	134	24	.	.	PUNCT
ejpam-4689	135	1	the	the	DET
ejpam-4689	135	2	following	follow	VERB
ejpam-4689	135	3	definition	definition	NOUN
ejpam-4689	135	4	[	[	X
ejpam-4689	135	5	36	36	NUM
ejpam-4689	135	6	]	]	PUNCT
ejpam-4689	135	7	generalizes	generalize	VERB
ejpam-4689	135	8	all	all	DET
ejpam-4689	135	9	the	the	DET
ejpam-4689	135	10	previously	previously	ADV
ejpam-4689	135	11	defined	define	VERB
ejpam-4689	135	12	fractional	fractional	ADJ
ejpam-4689	135	13	integrals	integral	NOUN
ejpam-4689	135	14	.	.	PUNCT
ejpam-4689	136	1	definition	definition	NOUN
ejpam-4689	136	2	10	10	NUM
ejpam-4689	136	3	.	.	PUNCT
ejpam-4689	137	1	the	the	DET
ejpam-4689	137	2	(	(	PUNCT
ejpam-4689	137	3	k	k	NOUN
ejpam-4689	137	4	−	−	PROPN
ejpam-4689	137	5	p	p	PROPN
ejpam-4689	137	6	)	)	PUNCT
ejpam-4689	137	7	riemann	riemann	PROPN
ejpam-4689	137	8	-	-	PUNCT
ejpam-4689	137	9	liouville	liouville	VERB
ejpam-4689	137	10	fractional	fractional	ADJ
ejpam-4689	137	11	integral	integral	ADJ
ejpam-4689	137	12	operator	operator	NOUN
ejpam-4689	137	13	p	p	PROPN
ejpam-4689	137	14	kj	kj	PROPN
ejpam-4689	137	15	α	α	PROPN
ejpam-4689	137	16	c	c	NOUN
ejpam-4689	137	17	of	of	ADP
ejpam-4689	137	18	order	order	NOUN
ejpam-4689	137	19	α	α	X
ejpam-4689	137	20	>	>	X
ejpam-4689	137	21	0	0	PUNCT
ejpam-4689	137	22	for	for	ADP
ejpam-4689	137	23	a	a	DET
ejpam-4689	137	24	real	real	ADV
ejpam-4689	137	25	valued	value	VERB
ejpam-4689	137	26	function	function	NOUN
ejpam-4689	137	27	g(t	g(t	PROPN
ejpam-4689	137	28	)	)	PUNCT
ejpam-4689	137	29	is	be	AUX
ejpam-4689	137	30	defined	define	VERB
ejpam-4689	137	31	as	as	ADP
ejpam-4689	137	32	p	p	PROPN
ejpam-4689	137	33	kj	kj	PROPN
ejpam-4689	137	34	α	α	PROPN
ejpam-4689	137	35	c	c	NOUN
ejpam-4689	137	36	g(x	g(x	NOUN
ejpam-4689	137	37	)	)	PUNCT
ejpam-4689	138	1	=	=	PRON
ejpam-4689	138	2	(	(	PUNCT
ejpam-4689	138	3	p+	p+	NOUN
ejpam-4689	138	4	1)1−	1)1−	NUM
ejpam-4689	138	5	α	α	PROPN
ejpam-4689	138	6	k	k	PROPN
ejpam-4689	138	7	kγk(θ	kγk(θ	PROPN
ejpam-4689	138	8	)	)	PUNCT
ejpam-4689	138	9	∫	∫	PROPN
ejpam-4689	139	1	x	x	X
ejpam-4689	139	2	c	c	PROPN
ejpam-4689	140	1	[	[	X
ejpam-4689	140	2	xp+1	xp+1	X
ejpam-4689	140	3	−	−	PROPN
ejpam-4689	141	1	tp+1	tp+1	NUM
ejpam-4689	141	2	]	]	X
ejpam-4689	141	3	α	α	PROPN
ejpam-4689	141	4	k	k	NOUN
ejpam-4689	141	5	−1tpg(t)dt	−1tpg(t)dt	NOUN
ejpam-4689	141	6	where	where	SCONJ
ejpam-4689	141	7	k	k	PROPN
ejpam-4689	141	8	>	>	X
ejpam-4689	141	9	0	0	PROPN
ejpam-4689	141	10	,	,	PUNCT
ejpam-4689	141	11	p	p	NOUN
ejpam-4689	141	12	∈	∈	PROPN
ejpam-4689	141	13	r	r	NOUN
ejpam-4689	141	14	,	,	PUNCT
ejpam-4689	141	15	p	p	PRON
ejpam-4689	141	16	̸=	̸=	PROPN
ejpam-4689	141	17	−1	−1	NOUN
ejpam-4689	141	18	.	.	PUNCT
ejpam-4689	142	1	the	the	DET
ejpam-4689	142	2	left	left	ADJ
ejpam-4689	142	3	and	and	CCONJ
ejpam-4689	142	4	right	right	ADJ
ejpam-4689	142	5	sided	sided	ADJ
ejpam-4689	142	6	(	(	PUNCT
ejpam-4689	142	7	k	k	NOUN
ejpam-4689	142	8	−	−	PROPN
ejpam-4689	142	9	p	p	PROPN
ejpam-4689	142	10	)	)	PUNCT
ejpam-4689	142	11	riemann	riemann	PROPN
ejpam-4689	142	12	-	-	PUNCT
ejpam-4689	142	13	liouville	liouville	VERB
ejpam-4689	142	14	fractional	fractional	ADJ
ejpam-4689	142	15	integral	integral	ADJ
ejpam-4689	142	16	operators	operator	NOUN
ejpam-4689	142	17	are	be	AUX
ejpam-4689	142	18	given	give	VERB
ejpam-4689	142	19	by	by	ADP
ejpam-4689	142	20	p	p	PROPN
ejpam-4689	142	21	kj	kj	PROPN
ejpam-4689	142	22	α	α	PROPN
ejpam-4689	142	23	c+g(x	c+g(x	NOUN
ejpam-4689	142	24	)	)	PUNCT
ejpam-4689	142	25	=	=	SYM
ejpam-4689	142	26	(	(	PUNCT
ejpam-4689	142	27	p+	p+	NOUN
ejpam-4689	142	28	1)1−	1)1−	NUM
ejpam-4689	142	29	α	α	NOUN
ejpam-4689	142	30	k	k	PROPN
ejpam-4689	142	31	kγk(α	kγk(α	PROPN
ejpam-4689	142	32	)	)	PUNCT
ejpam-4689	142	33	∫	∫	NOUN
ejpam-4689	143	1	x	x	X
ejpam-4689	143	2	c	c	PROPN
ejpam-4689	144	1	[	[	X
ejpam-4689	144	2	xp+1	xp+1	X
ejpam-4689	144	3	−	−	PROPN
ejpam-4689	145	1	tp+1	tp+1	NUM
ejpam-4689	145	2	]	]	X
ejpam-4689	145	3	α	α	PROPN
ejpam-4689	145	4	k	k	NOUN
ejpam-4689	145	5	−1tpg(t)dt	−1tpg(t)dt	PROPN
ejpam-4689	145	6	p	p	X
ejpam-4689	145	7	kj	kj	PROPN
ejpam-4689	145	8	α	α	PROPN
ejpam-4689	145	9	d−g(x	d−g(x	NOUN
ejpam-4689	145	10	)	)	PUNCT
ejpam-4689	145	11	=	=	PUNCT
ejpam-4689	146	1	(	(	PUNCT
ejpam-4689	146	2	p+	p+	NOUN
ejpam-4689	146	3	1)1−	1)1−	NUM
ejpam-4689	146	4	α	α	NOUN
ejpam-4689	146	5	k	k	PROPN
ejpam-4689	146	6	kγk(α	kγk(α	PROPN
ejpam-4689	146	7	)	)	PUNCT
ejpam-4689	146	8	∫	∫	PROPN
ejpam-4689	147	1	d	d	X
ejpam-4689	147	2	x	x	PUNCT
ejpam-4689	148	1	[	[	X
ejpam-4689	148	2	tp+1	tp+1	NUM
ejpam-4689	148	3	−	−	NOUN
ejpam-4689	148	4	xp+1	xp+1	NUM
ejpam-4689	148	5	]	]	X
ejpam-4689	148	6	α	α	PROPN
ejpam-4689	148	7	k	k	PROPN
ejpam-4689	148	8	−1tpg(t)dt	−1tpg(t)dt	PROPN
ejpam-4689	148	9	special	special	ADJ
ejpam-4689	148	10	cases	case	NOUN
ejpam-4689	148	11	1	1	NUM
ejpam-4689	148	12	.	.	PUNCT
ejpam-4689	149	1	when	when	SCONJ
ejpam-4689	149	2	p	p	NOUN
ejpam-4689	149	3	=	=	NOUN
ejpam-4689	149	4	0	0	X
ejpam-4689	150	1	the	the	DET
ejpam-4689	150	2	(	(	PUNCT
ejpam-4689	150	3	k	k	NOUN
ejpam-4689	150	4	−	−	PROPN
ejpam-4689	150	5	p	p	PROPN
ejpam-4689	150	6	)	)	PUNCT
ejpam-4689	150	7	riemann	riemann	PROPN
ejpam-4689	150	8	-	-	PUNCT
ejpam-4689	150	9	liouville	liouville	VERB
ejpam-4689	150	10	fractional	fractional	ADJ
ejpam-4689	150	11	integral	integral	ADJ
ejpam-4689	150	12	reduces	reduce	NOUN
ejpam-4689	150	13	to	to	ADP
ejpam-4689	150	14	k	k	X
ejpam-4689	150	15	-	-	PUNCT
ejpam-4689	150	16	riemann	riemann	PROPN
ejpam-4689	150	17	-	-	PUNCT
ejpam-4689	150	18	liouville	liouville	VERB
ejpam-4689	150	19	fractional	fractional	ADJ
ejpam-4689	150	20	integral	integral	ADJ
ejpam-4689	150	21	.	.	PUNCT
ejpam-4689	151	1	2	2	X
ejpam-4689	151	2	.	.	X
ejpam-4689	151	3	when	when	SCONJ
ejpam-4689	151	4	k=1	k=1	ADP
ejpam-4689	151	5	the	the	PRON
ejpam-4689	151	6	(	(	PUNCT
ejpam-4689	151	7	k	k	NOUN
ejpam-4689	151	8	−	−	PROPN
ejpam-4689	151	9	p	p	PROPN
ejpam-4689	151	10	)	)	PUNCT
ejpam-4689	151	11	riemann	riemann	PROPN
ejpam-4689	151	12	-	-	PUNCT
ejpam-4689	151	13	liouville	liouville	VERB
ejpam-4689	151	14	fractional	fractional	ADJ
ejpam-4689	151	15	integral	integral	ADJ
ejpam-4689	151	16	reduces	reduce	NOUN
ejpam-4689	151	17	to	to	ADP
ejpam-4689	151	18	katugampola	katugampola	ADJ
ejpam-4689	151	19	fractional	fractional	ADJ
ejpam-4689	151	20	integral	integral	ADJ
ejpam-4689	151	21	.	.	PUNCT
ejpam-4689	152	1	3	3	X
ejpam-4689	152	2	.	.	X
ejpam-4689	152	3	when	when	SCONJ
ejpam-4689	152	4	k	k	PROPN
ejpam-4689	152	5	=	=	SYM
ejpam-4689	152	6	1	1	NUM
ejpam-4689	152	7	,	,	PUNCT
ejpam-4689	152	8	p	p	NOUN
ejpam-4689	152	9	=	=	NOUN
ejpam-4689	152	10	0	0	NUM
ejpam-4689	153	1	the	the	DET
ejpam-4689	153	2	(	(	PUNCT
ejpam-4689	153	3	k	k	NOUN
ejpam-4689	153	4	−	−	PROPN
ejpam-4689	153	5	p	p	PROPN
ejpam-4689	153	6	)	)	PUNCT
ejpam-4689	153	7	riemann	riemann	PROPN
ejpam-4689	153	8	-	-	PUNCT
ejpam-4689	153	9	liouville	liouville	VERB
ejpam-4689	153	10	fractional	fractional	ADJ
ejpam-4689	153	11	integral	integral	ADJ
ejpam-4689	153	12	reduces	reduce	NOUN
ejpam-4689	153	13	to	to	ADP
ejpam-4689	153	14	riemann	riemann	PROPN
ejpam-4689	153	15	-	-	PUNCT
ejpam-4689	153	16	liouville	liouville	VERB
ejpam-4689	153	17	fractional	fractional	ADJ
ejpam-4689	153	18	integral	integral	ADJ
ejpam-4689	153	19	.	.	PUNCT
ejpam-4689	154	1	v.	v.	ADP
ejpam-4689	154	2	stojiljković	stojiljković	NOUN
ejpam-4689	154	3	/	/	SYM
ejpam-4689	154	4	eur	eur	PROPN
ejpam-4689	154	5	.	.	PUNCT
ejpam-4689	155	1	j.	j.	PROPN
ejpam-4689	155	2	pure	pure	PROPN
ejpam-4689	155	3	appl	appl	PROPN
ejpam-4689	155	4	.	.	PROPN
ejpam-4689	155	5	math	math	PROPN
ejpam-4689	155	6	,	,	PUNCT
ejpam-4689	155	7	16	16	NUM
ejpam-4689	155	8	(	(	PUNCT
ejpam-4689	155	9	1	1	NUM
ejpam-4689	155	10	)	)	PUNCT
ejpam-4689	155	11	(	(	PUNCT
ejpam-4689	155	12	2023	2023	NUM
ejpam-4689	155	13	)	)	PUNCT
ejpam-4689	155	14	,	,	PUNCT
ejpam-4689	155	15	503	503	NUM
ejpam-4689	155	16	-	-	SYM
ejpam-4689	155	17	522	522	NUM
ejpam-4689	155	18	508	508	NUM
ejpam-4689	155	19	recently	recently	ADV
ejpam-4689	155	20	published	publish	VERB
ejpam-4689	155	21	paper	paper	NOUN
ejpam-4689	155	22	by	by	ADP
ejpam-4689	155	23	stojiljković.	stojiljković.	PROPN
ejpam-4689	155	24	et	et	PROPN
ejpam-4689	155	25	al	al	PROPN
ejpam-4689	156	1	[	[	X
ejpam-4689	156	2	40	40	NUM
ejpam-4689	156	3	]	]	PUNCT
ejpam-4689	156	4	proved	prove	VERB
ejpam-4689	156	5	some	some	DET
ejpam-4689	156	6	inequalities	inequality	NOUN
ejpam-4689	156	7	regarding	regard	VERB
ejpam-4689	156	8	k−p	k−p	ADJ
ejpam-4689	156	9	fractional	fractional	ADJ
ejpam-4689	156	10	operators	operator	NOUN
ejpam-4689	156	11	.	.	PUNCT
ejpam-4689	157	1	we	we	PRON
ejpam-4689	157	2	state	state	VERB
ejpam-4689	157	3	two	two	NUM
ejpam-4689	157	4	of	of	ADP
ejpam-4689	157	5	them	they	PRON
ejpam-4689	157	6	for	for	ADP
ejpam-4689	157	7	the	the	DET
ejpam-4689	157	8	completeness	completeness	NOUN
ejpam-4689	157	9	because	because	SCONJ
ejpam-4689	157	10	the	the	DET
ejpam-4689	157	11	theorems	theorem	NOUN
ejpam-4689	157	12	in	in	ADP
ejpam-4689	157	13	this	this	DET
ejpam-4689	157	14	paper	paper	NOUN
ejpam-4689	157	15	generalize	generalize	VERB
ejpam-4689	157	16	the	the	DET
ejpam-4689	157	17	results	result	NOUN
ejpam-4689	157	18	in	in	ADP
ejpam-4689	157	19	the	the	DET
ejpam-4689	157	20	recently	recently	ADV
ejpam-4689	157	21	published	publish	VERB
ejpam-4689	157	22	paper	paper	NOUN
ejpam-4689	157	23	.	.	PUNCT
ejpam-4689	158	1	let	let	VERB
ejpam-4689	158	2	j	j	PROPN
ejpam-4689	158	3	⊂	⊂	PROPN
ejpam-4689	158	4	r	r	PRON
ejpam-4689	158	5	be	be	AUX
ejpam-4689	158	6	an	an	DET
ejpam-4689	158	7	interval	interval	NOUN
ejpam-4689	158	8	containing	contain	VERB
ejpam-4689	158	9	(	(	PUNCT
ejpam-4689	158	10	0	0	NUM
ejpam-4689	158	11	,	,	PUNCT
ejpam-4689	158	12	1	1	NUM
ejpam-4689	158	13	)	)	PUNCT
ejpam-4689	158	14	and	and	CCONJ
ejpam-4689	158	15	let	let	VERB
ejpam-4689	158	16	h	h	NOUN
ejpam-4689	158	17	:	:	PUNCT
ejpam-4689	158	18	j	j	X
ejpam-4689	158	19	→	→	PUNCT
ejpam-4689	158	20	r	r	NOUN
ejpam-4689	158	21	be	be	AUX
ejpam-4689	158	22	a	a	DET
ejpam-4689	158	23	non	non	ADJ
ejpam-4689	158	24	-	-	ADJ
ejpam-4689	158	25	negative	negative	ADJ
ejpam-4689	158	26	function	function	NOUN
ejpam-4689	158	27	.	.	PUNCT
ejpam-4689	159	1	if	if	SCONJ
ejpam-4689	159	2	f	f	X
ejpam-4689	159	3	:	:	PUNCT
ejpam-4689	160	1	[	[	X
ejpam-4689	160	2	a	a	X
ejpam-4689	160	3	,	,	PUNCT
ejpam-4689	160	4	b	b	NOUN
ejpam-4689	160	5	]	]	X
ejpam-4689	160	6	→	→	PUNCT
ejpam-4689	160	7	r	r	NOUN
ejpam-4689	160	8	is	be	AUX
ejpam-4689	160	9	an	an	DET
ejpam-4689	160	10	(	(	PUNCT
ejpam-4689	160	11	h	h	NOUN
ejpam-4689	160	12	-	-	PUNCT
ejpam-4689	160	13	m)-convex	m)-convex	NOUN
ejpam-4689	160	14	function	function	NOUN
ejpam-4689	160	15	,	,	PUNCT
ejpam-4689	160	16	such	such	ADJ
ejpam-4689	160	17	that	that	SCONJ
ejpam-4689	160	18	the	the	DET
ejpam-4689	160	19	riemann	riemann	PROPN
ejpam-4689	160	20	–	–	PUNCT
ejpam-4689	160	21	liouville	liouville	VERB
ejpam-4689	160	22	k	k	ADJ
ejpam-4689	160	23	-	-	ADJ
ejpam-4689	160	24	fractional	fractional	ADJ
ejpam-4689	160	25	integral	integral	ADJ
ejpam-4689	160	26	is	be	AUX
ejpam-4689	160	27	defined	define	VERB
ejpam-4689	160	28	,	,	PUNCT
ejpam-4689	160	29	ζ	ζ	PROPN
ejpam-4689	160	30	∈	∈	PROPN
ejpam-4689	160	31	(	(	PUNCT
ejpam-4689	160	32	0	0	NUM
ejpam-4689	160	33	,	,	PUNCT
ejpam-4689	160	34	1	1	NUM
ejpam-4689	160	35	)	)	PUNCT
ejpam-4689	160	36	,	,	PUNCT
ejpam-4689	160	37	ℜ(αk	ℜ(αk	NOUN
ejpam-4689	160	38	)	)	PUNCT
ejpam-4689	160	39	>	>	X
ejpam-4689	160	40	0	0	NUM
ejpam-4689	160	41	,	,	PUNCT
ejpam-4689	160	42	α	α	X
ejpam-4689	160	43	̸=	̸=	PROPN
ejpam-4689	160	44	0	0	NUM
ejpam-4689	160	45	,	,	PUNCT
ejpam-4689	160	46	and	and	CCONJ
ejpam-4689	160	47	in	in	ADP
ejpam-4689	160	48	one	one	NUM
ejpam-4689	160	49	of	of	ADP
ejpam-4689	160	50	the	the	DET
ejpam-4689	160	51	cases	case	NOUN
ejpam-4689	160	52	,	,	PUNCT
ejpam-4689	160	53	the	the	DET
ejpam-4689	160	54	following	follow	VERB
ejpam-4689	160	55	inequality	inequality	NOUN
ejpam-4689	160	56	holds	hold	VERB
ejpam-4689	160	57	:	:	PUNCT
ejpam-4689	160	58	(	(	PUNCT
ejpam-4689	160	59	i	i	NOUN
ejpam-4689	160	60	)	)	PUNCT
ejpam-4689	160	61	a	a	DET
ejpam-4689	160	62	>	>	X
ejpam-4689	160	63	0	0	NUM
ejpam-4689	160	64	,	,	PUNCT
ejpam-4689	160	65	b	b	X
ejpam-4689	160	66	>	>	X
ejpam-4689	160	67	a	a	X
ejpam-4689	160	68	,	,	PUNCT
ejpam-4689	160	69	0	0	PUNCT
ejpam-4689	160	70	<	<	X
ejpam-4689	160	71	m	m	X
ejpam-4689	160	72	<	<	X
ejpam-4689	160	73	a	a	DET
ejpam-4689	160	74	b	b	PROPN
ejpam-4689	160	75	(	(	PUNCT
ejpam-4689	160	76	ii	ii	PROPN
ejpam-4689	160	77	)	)	PUNCT
ejpam-4689	160	78	a	a	DET
ejpam-4689	160	79	>	>	X
ejpam-4689	160	80	0	0	NUM
ejpam-4689	160	81	,	,	PUNCT
ejpam-4689	160	82	b	b	X
ejpam-4689	160	83	<	<	X
ejpam-4689	160	84	a	a	X
ejpam-4689	160	85	,	,	PUNCT
ejpam-4689	160	86	0	0	NUM
ejpam-4689	160	87	<	<	X
ejpam-4689	160	88	m	m	NOUN
ejpam-4689	160	89	⩽	⩽	ADJ
ejpam-4689	160	90	1	1	NUM
ejpam-4689	160	91	f	f	X
ejpam-4689	160	92	(	(	PUNCT
ejpam-4689	160	93	a+bm	a+bm	NOUN
ejpam-4689	160	94	2	2	NUM
ejpam-4689	160	95	)	)	PUNCT
ejpam-4689	160	96	h(12	h(12	ADJ
ejpam-4689	160	97	)	)	PUNCT
ejpam-4689	160	98	⩽	⩽	NOUN
ejpam-4689	160	99	αγk(α	αγk(α	PROPN
ejpam-4689	160	100	)	)	PUNCT
ejpam-4689	160	101	(	(	PUNCT
ejpam-4689	160	102	iα	iα	INTJ
ejpam-4689	160	103	,	,	PUNCT
ejpam-4689	160	104	k	k	PROPN
ejpam-4689	160	105	(	(	PUNCT
ejpam-4689	160	106	a)−f(mb	a)−f(mb	PRON
ejpam-4689	160	107	)	)	PUNCT
ejpam-4689	160	108	(	(	PUNCT
ejpam-4689	160	109	a−	a−	PROPN
ejpam-4689	160	110	bm	bm	PROPN
ejpam-4689	160	111	)	)	PUNCT
ejpam-4689	160	112	α	α	PROPN
ejpam-4689	161	1	k	k	PROPN
ejpam-4689	162	1	+	+	NUM
ejpam-4689	162	2	miα	miα	PROPN
ejpam-4689	162	3	,	,	PUNCT
ejpam-4689	162	4	k	k	PROPN
ejpam-4689	162	5	(	(	PUNCT
ejpam-4689	162	6	b)+	b)+	PROPN
ejpam-4689	162	7	f	f	X
ejpam-4689	162	8	(	(	PUNCT
ejpam-4689	162	9	a	a	DET
ejpam-4689	162	10	m	m	NOUN
ejpam-4689	162	11	)	)	PUNCT
ejpam-4689	162	12	(	(	PUNCT
ejpam-4689	162	13	a	a	DET
ejpam-4689	162	14	m	m	NOUN
ejpam-4689	162	15	−	−	PROPN
ejpam-4689	162	16	b	b	NOUN
ejpam-4689	162	17	)	)	PUNCT
ejpam-4689	162	18	α	α	PROPN
ejpam-4689	162	19	k	k	NOUN
ejpam-4689	162	20	)	)	PUNCT
ejpam-4689	162	21	⩽	⩽	PROPN
ejpam-4689	162	22	α(f(a	α(f(a	PROPN
ejpam-4689	162	23	)	)	PUNCT
ejpam-4689	162	24	+	+	NOUN
ejpam-4689	162	25	mf(b	mf(b	X
ejpam-4689	162	26	)	)	PUNCT
ejpam-4689	162	27	)	)	PUNCT
ejpam-4689	163	1	k	k	X
ejpam-4689	163	2	∫	∫	PROPN
ejpam-4689	163	3	1	1	NUM
ejpam-4689	163	4	0	0	NUM
ejpam-4689	163	5	t	t	PROPN
ejpam-4689	163	6	α	α	PROPN
ejpam-4689	163	7	k	k	PROPN
ejpam-4689	163	8	−1h(t)dt+	−1h(t)dt+	NUM
ejpam-4689	163	9	α(f(a	α(f(a	PROPN
ejpam-4689	163	10	)	)	PUNCT
ejpam-4689	163	11	+	+	NOUN
ejpam-4689	163	12	mf(b	mf(b	X
ejpam-4689	163	13	)	)	PUNCT
ejpam-4689	163	14	)	)	PUNCT
ejpam-4689	164	1	k	k	X
ejpam-4689	164	2	∫	∫	PROPN
ejpam-4689	165	1	1	1	NUM
ejpam-4689	165	2	0	0	NUM
ejpam-4689	165	3	t	t	PROPN
ejpam-4689	165	4	α	α	X
ejpam-4689	165	5	k	k	PROPN
ejpam-4689	165	6	−1h(1−	−1h(1−	PROPN
ejpam-4689	165	7	t)dt	t)dt	PROPN
ejpam-4689	165	8	.	.	PUNCT
ejpam-4689	166	1	let	let	VERB
ejpam-4689	166	2	h	h	NOUN
ejpam-4689	166	3	:	:	PUNCT
ejpam-4689	166	4	j	j	X
ejpam-4689	166	5	→	→	PUNCT
ejpam-4689	166	6	r	r	NOUN
ejpam-4689	166	7	be	be	AUX
ejpam-4689	166	8	a	a	DET
ejpam-4689	166	9	non	non	ADJ
ejpam-4689	166	10	-	-	ADJ
ejpam-4689	166	11	negative	negative	ADJ
ejpam-4689	166	12	and	and	CCONJ
ejpam-4689	166	13	non	non	ADJ
ejpam-4689	166	14	-	-	ADJ
ejpam-4689	166	15	zero	zero	NUM
ejpam-4689	166	16	function	function	NOUN
ejpam-4689	166	17	.	.	PUNCT
ejpam-4689	167	1	let	let	VERB
ejpam-4689	167	2	f	f	NOUN
ejpam-4689	167	3	:	:	PUNCT
ejpam-4689	168	1	[	[	X
ejpam-4689	168	2	ap	ap	PROPN
ejpam-4689	168	3	,	,	PUNCT
ejpam-4689	168	4	bp	bp	PROPN
ejpam-4689	168	5	]	]	PUNCT
ejpam-4689	168	6	→	→	PUNCT
ejpam-4689	168	7	r	r	NOUN
ejpam-4689	168	8	be	be	AUX
ejpam-4689	168	9	a	a	DET
ejpam-4689	168	10	(	(	PUNCT
ejpam-4689	168	11	p	p	NOUN
ejpam-4689	168	12	,	,	PUNCT
ejpam-4689	168	13	h)convex	h)convex	PROPN
ejpam-4689	168	14	function	function	NOUN
ejpam-4689	168	15	,	,	PUNCT
ejpam-4689	168	16	p	p	X
ejpam-4689	168	17	>	>	X
ejpam-4689	168	18	0	0	NUM
ejpam-4689	168	19	,	,	PUNCT
ejpam-4689	168	20	ζ	ζ	PROPN
ejpam-4689	168	21	∈	∈	PROPN
ejpam-4689	168	22	(	(	PUNCT
ejpam-4689	168	23	0	0	NUM
ejpam-4689	168	24	,	,	PUNCT
ejpam-4689	168	25	1	1	NUM
ejpam-4689	168	26	)	)	PUNCT
ejpam-4689	168	27	.	.	PUNCT
ejpam-4689	169	1	then	then	ADV
ejpam-4689	169	2	,	,	PUNCT
ejpam-4689	169	3	the	the	DET
ejpam-4689	169	4	following	follow	VERB
ejpam-4689	169	5	inequality	inequality	NOUN
ejpam-4689	169	6	holds	hold	VERB
ejpam-4689	169	7	f	f	PROPN
ejpam-4689	169	8	(	(	PUNCT
ejpam-4689	169	9	[	[	X
ejpam-4689	169	10	a	a	DET
ejpam-4689	169	11	p+bp	p+bp	NOUN
ejpam-4689	169	12	2	2	NUM
ejpam-4689	169	13	]	]	SYM
ejpam-4689	169	14	1	1	NUM
ejpam-4689	169	15	p	p	NOUN
ejpam-4689	169	16	)	)	PUNCT
ejpam-4689	169	17	h(12	h(12	ADJ
ejpam-4689	169	18	)	)	PUNCT
ejpam-4689	169	19	⩽	⩽	NOUN
ejpam-4689	169	20	2	2	NUM
ejpam-4689	169	21	α	α	NOUN
ejpam-4689	169	22	k	k	NOUN
ejpam-4689	170	1	p	p	X
ejpam-4689	170	2	α	α	PROPN
ejpam-4689	170	3	k	k	PROPN
ejpam-4689	170	4	αγk(α	αγk(α	PROPN
ejpam-4689	170	5	)	)	PUNCT
ejpam-4689	170	6	(	(	PUNCT
ejpam-4689	170	7	bp	bp	PROPN
ejpam-4689	170	8	−	−	PROPN
ejpam-4689	170	9	ap	ap	PROPN
ejpam-4689	170	10	)	)	PUNCT
ejpam-4689	170	11	α	α	PROPN
ejpam-4689	171	1	k	k	PROPN
ejpam-4689	171	2	(	(	PUNCT
ejpam-4689	171	3	p−1	p−1	PROPN
ejpam-4689	171	4	k	k	PROPN
ejpam-4689	171	5	jα	jα	PROPN
ejpam-4689	171	6	(	(	PUNCT
ejpam-4689	171	7	(	(	PUNCT
ejpam-4689	171	8	a	a	DET
ejpam-4689	171	9	p+bp	p+bp	NOUN
ejpam-4689	171	10	2	2	NUM
ejpam-4689	171	11	)	)	PUNCT
ejpam-4689	171	12	1	1	NUM
ejpam-4689	171	13	p	p	NOUN
ejpam-4689	171	14	)	)	PUNCT
ejpam-4689	171	15	+	+	SYM
ejpam-4689	171	16	f(b	f(b	X
ejpam-4689	171	17	)	)	PUNCT
ejpam-4689	172	1	+	+	NUM
ejpam-4689	173	1	p−1	p−1	PROPN
ejpam-4689	173	2	k	k	PROPN
ejpam-4689	173	3	jα	jα	X
ejpam-4689	173	4	(	(	PUNCT
ejpam-4689	173	5	(	(	PUNCT
ejpam-4689	173	6	a	a	DET
ejpam-4689	173	7	p+bp	p+bp	NOUN
ejpam-4689	173	8	2	2	NUM
ejpam-4689	173	9	)	)	PUNCT
ejpam-4689	173	10	1	1	NUM
ejpam-4689	173	11	p	p	NOUN
ejpam-4689	173	12	)	)	PUNCT
ejpam-4689	173	13	−	−	PROPN
ejpam-4689	173	14	f(a	f(a	NOUN
ejpam-4689	173	15	)	)	PUNCT
ejpam-4689	173	16	)	)	PUNCT
ejpam-4689	174	1	⩽	⩽	ADJ
ejpam-4689	174	2	αp	αp	INTJ
ejpam-4689	175	1	k	k	PROPN
ejpam-4689	175	2	(	(	PUNCT
ejpam-4689	175	3	f(a	f(a	NOUN
ejpam-4689	175	4	)	)	PUNCT
ejpam-4689	175	5	+	+	CCONJ
ejpam-4689	175	6	f(b	f(b	PROPN
ejpam-4689	175	7	)	)	PUNCT
ejpam-4689	175	8	)	)	PUNCT
ejpam-4689	176	1	(	(	PUNCT
ejpam-4689	176	2	∫	∫	PROPN
ejpam-4689	176	3	1	1	NUM
ejpam-4689	176	4	0	0	NUM
ejpam-4689	176	5	t	t	NOUN
ejpam-4689	176	6	αp	αp	NOUN
ejpam-4689	176	7	k	k	NOUN
ejpam-4689	176	8	−1	−1	PROPN
ejpam-4689	176	9	(	(	PUNCT
ejpam-4689	176	10	h	h	NOUN
ejpam-4689	176	11	(	(	PUNCT
ejpam-4689	176	12	tp	tp	ADP
ejpam-4689	176	13	2	2	NUM
ejpam-4689	176	14	)	)	PUNCT
ejpam-4689	177	1	+	+	CCONJ
ejpam-4689	177	2	h	h	NOUN
ejpam-4689	177	3	(	(	PUNCT
ejpam-4689	177	4	1−	1−	NUM
ejpam-4689	177	5	tp	tp	ADP
ejpam-4689	177	6	2	2	NUM
ejpam-4689	177	7	)	)	PUNCT
ejpam-4689	177	8	)	)	PUNCT
ejpam-4689	177	9	dt	dt	PUNCT
ejpam-4689	177	10	)	)	PUNCT
ejpam-4689	177	11	.	.	PUNCT
ejpam-4689	178	1	in	in	ADP
ejpam-4689	178	2	our	our	PRON
ejpam-4689	178	3	analysis	analysis	NOUN
ejpam-4689	178	4	,	,	PUNCT
ejpam-4689	178	5	we	we	PRON
ejpam-4689	178	6	will	will	AUX
ejpam-4689	178	7	need	need	VERB
ejpam-4689	178	8	the	the	DET
ejpam-4689	178	9	integral	integral	ADJ
ejpam-4689	178	10	version	version	NOUN
ejpam-4689	178	11	of	of	ADP
ejpam-4689	178	12	the	the	DET
ejpam-4689	178	13	hölder	hölder	NOUN
ejpam-4689	178	14	’s	’s	PART
ejpam-4689	178	15	inequality	inequality	NOUN
ejpam-4689	178	16	.	.	PUNCT
ejpam-4689	179	1	if	if	SCONJ
ejpam-4689	179	2	f	f	X
ejpam-4689	179	3	,	,	PUNCT
ejpam-4689	179	4	g	g	PROPN
ejpam-4689	179	5	∈	∈	PROPN
ejpam-4689	179	6	c([r	c([r	PROPN
ejpam-4689	179	7	,	,	PUNCT
ejpam-4689	179	8	s],r	s],r	NOUN
ejpam-4689	179	9	)	)	PUNCT
ejpam-4689	179	10	and	and	CCONJ
ejpam-4689	179	11	λ	λ	PROPN
ejpam-4689	179	12	,	,	PUNCT
ejpam-4689	179	13	α	α	PROPN
ejpam-4689	179	14	∈	∈	NOUN
ejpam-4689	179	15	r	r	NOUN
ejpam-4689	179	16	with	with	ADP
ejpam-4689	179	17	λ	λ	PROPN
ejpam-4689	179	18	>	>	X
ejpam-4689	179	19	1	1	NUM
ejpam-4689	179	20	and	and	CCONJ
ejpam-4689	179	21	1	1	NUM
ejpam-4689	179	22	λ	λ	NOUN
ejpam-4689	180	1	+	+	NOUN
ejpam-4689	180	2	1	1	NUM
ejpam-4689	180	3	α	α	NOUN
ejpam-4689	180	4	=	=	SYM
ejpam-4689	180	5	1	1	NUM
ejpam-4689	180	6	,	,	PUNCT
ejpam-4689	180	7	then∫	then∫	NOUN
ejpam-4689	180	8	b	b	PROPN
ejpam-4689	180	9	a	a	DET
ejpam-4689	180	10	|f(t)g(t)dt|	|f(t)g(t)dt|	PROPN
ejpam-4689	180	11	⩽	⩽	NOUN
ejpam-4689	180	12	(	(	PUNCT
ejpam-4689	180	13	∫	∫	PROPN
ejpam-4689	180	14	b	b	PROPN
ejpam-4689	180	15	a	a	DET
ejpam-4689	180	16	|f(t)|λdt	|f(t)|λdt	NOUN
ejpam-4689	180	17	)	)	PUNCT
ejpam-4689	180	18	1	1	NUM
ejpam-4689	180	19	λ	λ	X
ejpam-4689	180	20	(	(	PUNCT
ejpam-4689	180	21	∫	∫	PROPN
ejpam-4689	180	22	b	b	PROPN
ejpam-4689	180	23	a	a	PRON
ejpam-4689	180	24	|g(t)|αdt	|g(t)|αdt	X
ejpam-4689	180	25	)	)	PUNCT
ejpam-4689	180	26	1	1	NUM
ejpam-4689	180	27	α	α	NOUN
ejpam-4689	180	28	.	.	PUNCT
ejpam-4689	181	1	2	2	X
ejpam-4689	181	2	.	.	X
ejpam-4689	181	3	main	main	ADJ
ejpam-4689	181	4	results	result	NOUN
ejpam-4689	181	5	the	the	DET
ejpam-4689	181	6	following	follow	VERB
ejpam-4689	181	7	theorem	theorem	NOUN
ejpam-4689	181	8	generalizes	generalize	VERB
ejpam-4689	181	9	the	the	DET
ejpam-4689	181	10	theorem	theorem	NOUN
ejpam-4689	181	11	1	1	NUM
ejpam-4689	181	12	from	from	ADP
ejpam-4689	181	13	the	the	DET
ejpam-4689	181	14	recently	recently	ADV
ejpam-4689	181	15	published	publish	VERB
ejpam-4689	181	16	paper	paper	NOUN
ejpam-4689	181	17	[	[	X
ejpam-4689	181	18	40	40	NUM
ejpam-4689	181	19	]	]	PUNCT
ejpam-4689	181	20	about	about	ADP
ejpam-4689	181	21	k	k	PROPN
ejpam-4689	181	22	−	−	PROPN
ejpam-4689	181	23	p	p	X
ejpam-4689	181	24	fractional	fractional	ADJ
ejpam-4689	181	25	inequalities	inequality	NOUN
ejpam-4689	181	26	.	.	PUNCT
ejpam-4689	182	1	theorem	theorem	NOUN
ejpam-4689	182	2	1	1	NUM
ejpam-4689	182	3	.	.	PUNCT
ejpam-4689	183	1	let	let	VERB
ejpam-4689	183	2	f	f	NOUN
ejpam-4689	183	3	:	:	PUNCT
ejpam-4689	184	1	[	[	X
ejpam-4689	184	2	ap	ap	PROPN
ejpam-4689	184	3	,	,	PUNCT
ejpam-4689	184	4	bp	bp	PROPN
ejpam-4689	184	5	]	]	PUNCT
ejpam-4689	184	6	→	→	SYM
ejpam-4689	184	7	r.	r.	PROPN
ejpam-4689	184	8	if	if	SCONJ
ejpam-4689	184	9	f	f	PROPN
ejpam-4689	184	10	is	be	AUX
ejpam-4689	184	11	(	(	PUNCT
ejpam-4689	184	12	α	α	NOUN
ejpam-4689	184	13	,	,	PUNCT
ejpam-4689	184	14	h	h	NOUN
ejpam-4689	184	15	−	−	PROPN
ejpam-4689	184	16	m	m	NOUN
ejpam-4689	184	17	)	)	PUNCT
ejpam-4689	184	18	−	−	PROPN
ejpam-4689	184	19	p	p	NOUN
ejpam-4689	184	20	convex	convex	NOUN
ejpam-4689	184	21	on	on	ADP
ejpam-4689	184	22	[	[	X
ejpam-4689	184	23	ap	ap	PROPN
ejpam-4689	184	24	,	,	PUNCT
ejpam-4689	184	25	bp	bp	PROPN
ejpam-4689	184	26	]	]	PUNCT
ejpam-4689	184	27	,	,	PUNCT
ejpam-4689	184	28	then	then	ADV
ejpam-4689	184	29	the	the	DET
ejpam-4689	184	30	inequality	inequality	NOUN
ejpam-4689	184	31	holds	hold	VERB
ejpam-4689	184	32	in	in	ADP
ejpam-4689	184	33	one	one	NUM
ejpam-4689	184	34	of	of	ADP
ejpam-4689	184	35	the	the	DET
ejpam-4689	184	36	following	follow	VERB
ejpam-4689	184	37	cases	case	NOUN
ejpam-4689	184	38	1.a	1.a	NUM
ejpam-4689	184	39	>	>	X
ejpam-4689	184	40	0	0	NUM
ejpam-4689	184	41	,	,	PUNCT
ejpam-4689	184	42	b	b	X
ejpam-4689	184	43	>	>	X
ejpam-4689	184	44	a	a	X
ejpam-4689	184	45	,	,	PUNCT
ejpam-4689	184	46	0	0	NUM
ejpam-4689	184	47	<	<	X
ejpam-4689	184	48	m	m	VERB
ejpam-4689	184	49	⩽	⩽	NOUN
ejpam-4689	184	50	a	a	DET
ejpam-4689	184	51	b	b	NOUN
ejpam-4689	184	52	2.a	2.a	NUM
ejpam-4689	184	53	>	>	SYM
ejpam-4689	184	54	0	0	NUM
ejpam-4689	184	55	,	,	PUNCT
ejpam-4689	184	56	b	b	X
ejpam-4689	184	57	<	<	X
ejpam-4689	184	58	a	a	X
ejpam-4689	184	59	,	,	PUNCT
ejpam-4689	184	60	0	0	NUM
ejpam-4689	184	61	<	<	X
ejpam-4689	184	62	m	m	NOUN
ejpam-4689	184	63	⩽	⩽	ADJ
ejpam-4689	184	64	1	1	NUM
ejpam-4689	184	65	f	f	X
ejpam-4689	184	66	(	(	PUNCT
ejpam-4689	184	67	[	[	PUNCT
ejpam-4689	184	68	ap	ap	PROPN
ejpam-4689	184	69	+	+	NOUN
ejpam-4689	184	70	mpbp	mpbp	NOUN
ejpam-4689	184	71	2	2	NUM
ejpam-4689	184	72	]	]	SYM
ejpam-4689	184	73	1	1	NUM
ejpam-4689	184	74	p	p	NOUN
ejpam-4689	184	75	)	)	PUNCT
ejpam-4689	184	76	⩽	⩽	ADJ
ejpam-4689	184	77	h	h	NOUN
ejpam-4689	185	1	(	(	PUNCT
ejpam-4689	185	2	1	1	NUM
ejpam-4689	185	3	2α	2α	NOUN
ejpam-4689	185	4	)	)	PUNCT
ejpam-4689	186	1	θγk(θ)p	θγk(θ)p	ADJ
ejpam-4689	186	2	θ	θ	PROPN
ejpam-4689	186	3	k	k	PROPN
ejpam-4689	186	4	(	(	PUNCT
ejpam-4689	186	5	ap	ap	PROPN
ejpam-4689	186	6	−mpbp	−mpbp	PROPN
ejpam-4689	186	7	)	)	PUNCT
ejpam-4689	186	8	θ	θ	PROPN
ejpam-4689	187	1	k	k	PROPN
ejpam-4689	187	2	p−1	p−1	PROPN
ejpam-4689	187	3	k	k	PROPN
ejpam-4689	187	4	jθ	jθ	ADV
ejpam-4689	187	5	a−f(mb	a−f(mb	PROPN
ejpam-4689	187	6	)	)	PUNCT
ejpam-4689	187	7	v.	v.	ADP
ejpam-4689	187	8	stojiljković	stojiljković	NOUN
ejpam-4689	187	9	/	/	SYM
ejpam-4689	187	10	eur	eur	PROPN
ejpam-4689	187	11	.	.	PUNCT
ejpam-4689	188	1	j.	j.	PROPN
ejpam-4689	188	2	pure	pure	PROPN
ejpam-4689	188	3	appl	appl	PROPN
ejpam-4689	188	4	.	.	PROPN
ejpam-4689	188	5	math	math	PROPN
ejpam-4689	188	6	,	,	PUNCT
ejpam-4689	188	7	16	16	NUM
ejpam-4689	188	8	(	(	PUNCT
ejpam-4689	188	9	1	1	NUM
ejpam-4689	188	10	)	)	PUNCT
ejpam-4689	188	11	(	(	PUNCT
ejpam-4689	188	12	2023	2023	NUM
ejpam-4689	188	13	)	)	PUNCT
ejpam-4689	188	14	,	,	PUNCT
ejpam-4689	188	15	503	503	NUM
ejpam-4689	188	16	-	-	SYM
ejpam-4689	188	17	522	522	NUM
ejpam-4689	188	18	509	509	NUM
ejpam-4689	188	19	+	+	NOUN
ejpam-4689	188	20	mp	mp	NOUN
ejpam-4689	188	21	θγk(θ)h	θγk(θ)h	NOUN
ejpam-4689	188	22	(	(	PUNCT
ejpam-4689	188	23	2α−1	2α−1	NUM
ejpam-4689	188	24	2α	2α	NOUN
ejpam-4689	188	25	)	)	PUNCT
ejpam-4689	188	26	p	p	X
ejpam-4689	188	27	θ	θ	X
ejpam-4689	188	28	k	k	PROPN
ejpam-4689	189	1	(	(	PUNCT
ejpam-4689	189	2	ap	ap	PROPN
ejpam-4689	189	3	mp	mp	PROPN
ejpam-4689	189	4	−	−	PROPN
ejpam-4689	189	5	bp	bp	PROPN
ejpam-4689	189	6	)	)	PUNCT
ejpam-4689	190	1	θ	θ	PROPN
ejpam-4689	191	1	k	k	PROPN
ejpam-4689	192	1	p−1	p−1	PROPN
ejpam-4689	192	2	k	k	PROPN
ejpam-4689	192	3	jθ	jθ	INTJ
ejpam-4689	192	4	(	(	PUNCT
ejpam-4689	192	5	b)+f	b)+f	PROPN
ejpam-4689	192	6	(	(	PUNCT
ejpam-4689	192	7	a	a	DET
ejpam-4689	192	8	m	m	NOUN
ejpam-4689	192	9	)	)	PUNCT
ejpam-4689	192	10	⩽	⩽	NOUN
ejpam-4689	192	11	(	(	PUNCT
ejpam-4689	192	12	(	(	PUNCT
ejpam-4689	192	13	h	h	NOUN
ejpam-4689	192	14	(	(	PUNCT
ejpam-4689	192	15	1	1	NUM
ejpam-4689	192	16	2α	2α	NOUN
ejpam-4689	192	17	)	)	PUNCT
ejpam-4689	192	18	f(a	f(a	NOUN
ejpam-4689	192	19	)	)	PUNCT
ejpam-4689	193	1	+	+	NOUN
ejpam-4689	193	2	mph	mph	NOUN
ejpam-4689	193	3	(	(	PUNCT
ejpam-4689	193	4	2α	2α	NOUN
ejpam-4689	193	5	−	−	PROPN
ejpam-4689	193	6	1	1	NUM
ejpam-4689	193	7	2α	2α	NOUN
ejpam-4689	193	8	)	)	PUNCT
ejpam-4689	193	9	f(b	f(b	PROPN
ejpam-4689	193	10	)	)	PUNCT
ejpam-4689	193	11	)	)	PUNCT
ejpam-4689	193	12	∫	∫	PROPN
ejpam-4689	194	1	1	1	NUM
ejpam-4689	194	2	0	0	NUM
ejpam-4689	194	3	h(tlp)t	h(tlp)t	NOUN
ejpam-4689	194	4	θp	θp	ADP
ejpam-4689	194	5	k	k	PROPN
ejpam-4689	194	6	−1dt	−1dt	PROPN
ejpam-4689	194	7	)	)	PUNCT
ejpam-4689	194	8	·	·	PUNCT
ejpam-4689	195	1	θp	θp	ADP
ejpam-4689	195	2	k	k	PROPN
ejpam-4689	195	3	+	+	CCONJ
ejpam-4689	195	4	(	(	PUNCT
ejpam-4689	195	5	(	(	PUNCT
ejpam-4689	195	6	mph	mph	NOUN
ejpam-4689	195	7	(	(	PUNCT
ejpam-4689	195	8	1	1	NUM
ejpam-4689	195	9	2α	2α	NOUN
ejpam-4689	195	10	)	)	PUNCT
ejpam-4689	195	11	f(b	f(b	PROPN
ejpam-4689	195	12	)	)	PUNCT
ejpam-4689	196	1	+	+	NUM
ejpam-4689	196	2	h	h	NOUN
ejpam-4689	196	3	(	(	PUNCT
ejpam-4689	196	4	2α	2α	NOUN
ejpam-4689	196	5	−	−	PROPN
ejpam-4689	196	6	1	1	NUM
ejpam-4689	196	7	2α	2α	NOUN
ejpam-4689	196	8	)	)	PUNCT
ejpam-4689	196	9	f(a	f(a	PROPN
ejpam-4689	196	10	)	)	PUNCT
ejpam-4689	196	11	)	)	PUNCT
ejpam-4689	196	12	∫	∫	PROPN
ejpam-4689	196	13	1	1	NUM
ejpam-4689	196	14	0	0	NUM
ejpam-4689	196	15	h(1−	h(1−	PROPN
ejpam-4689	196	16	tlp)t	tlp)t	NOUN
ejpam-4689	196	17	θp	θp	ADP
ejpam-4689	196	18	k	k	PROPN
ejpam-4689	196	19	−1dt	−1dt	PROPN
ejpam-4689	196	20	)	)	PUNCT
ejpam-4689	196	21	·	·	PUNCT
ejpam-4689	196	22	θp	θp	ADP
ejpam-4689	196	23	k	k	X
ejpam-4689	196	24	.	.	PUNCT
ejpam-4689	197	1	proof	proof	NOUN
ejpam-4689	197	2	.	.	PUNCT
ejpam-4689	198	1	using	use	VERB
ejpam-4689	198	2	the	the	DET
ejpam-4689	198	3	definition	definition	NOUN
ejpam-4689	198	4	of	of	ADP
ejpam-4689	198	5	a	a	DET
ejpam-4689	198	6	(	(	PUNCT
ejpam-4689	198	7	α	α	NOUN
ejpam-4689	198	8	,	,	PUNCT
ejpam-4689	198	9	h	h	NOUN
ejpam-4689	198	10	,	,	PUNCT
ejpam-4689	198	11	m)-p	m)-p	ADV
ejpam-4689	198	12	convex	convex	VERB
ejpam-4689	198	13	function	function	NOUN
ejpam-4689	198	14	we	we	PRON
ejpam-4689	198	15	have	have	VERB
ejpam-4689	198	16	f	f	X
ejpam-4689	198	17	(	(	PUNCT
ejpam-4689	198	18	(	(	PUNCT
ejpam-4689	198	19	txp	txp	VERB
ejpam-4689	198	20	+	+	SYM
ejpam-4689	198	21	m(1−	m(1−	PROPN
ejpam-4689	198	22	t)yp	t)yp	PROPN
ejpam-4689	198	23	)	)	PUNCT
ejpam-4689	198	24	1	1	NUM
ejpam-4689	198	25	p	p	NOUN
ejpam-4689	198	26	)	)	PUNCT
ejpam-4689	198	27	⩽	⩽	NOUN
ejpam-4689	198	28	h(tα)f(x	h(tα)f(x	NOUN
ejpam-4689	198	29	)	)	PUNCT
ejpam-4689	198	30	+	+	ADJ
ejpam-4689	198	31	mh(1−	mh(1−	ADJ
ejpam-4689	198	32	tα)f(y	tα)f(y	NOUN
ejpam-4689	198	33	)	)	PUNCT
ejpam-4689	198	34	.	.	PUNCT
ejpam-4689	199	1	setting	set	VERB
ejpam-4689	199	2	t	t	NOUN
ejpam-4689	199	3	=	=	SYM
ejpam-4689	199	4	1	1	NUM
ejpam-4689	199	5	2	2	NUM
ejpam-4689	199	6	and	and	CCONJ
ejpam-4689	199	7	xp	xp	NOUN
ejpam-4689	199	8	=	=	SYM
ejpam-4689	199	9	mp(1	mp(1	PROPN
ejpam-4689	199	10	−	−	PROPN
ejpam-4689	199	11	tp)bp	tp)bp	PUNCT
ejpam-4689	200	1	+	+	CCONJ
ejpam-4689	200	2	tpap	tpap	ADJ
ejpam-4689	200	3	,	,	PUNCT
ejpam-4689	200	4	yp	yp	X
ejpam-4689	200	5	=	=	PUNCT
ejpam-4689	200	6	(	(	PUNCT
ejpam-4689	200	7	1	1	NUM
ejpam-4689	200	8	−	−	PROPN
ejpam-4689	200	9	tp	tp	X
ejpam-4689	200	10	)	)	PUNCT
ejpam-4689	200	11	ap	ap	PROPN
ejpam-4689	200	12	mp	mp	PROPN
ejpam-4689	200	13	+	+	CCONJ
ejpam-4689	200	14	bptp	bptp	PROPN
ejpam-4689	200	15	in	in	ADP
ejpam-4689	200	16	the	the	DET
ejpam-4689	200	17	inequality	inequality	NOUN
ejpam-4689	200	18	,	,	PUNCT
ejpam-4689	200	19	we	we	PRON
ejpam-4689	200	20	get	get	VERB
ejpam-4689	200	21	the	the	DET
ejpam-4689	200	22	following	follow	VERB
ejpam-4689	200	23	f	f	X
ejpam-4689	200	24	(	(	PUNCT
ejpam-4689	200	25	[	[	PUNCT
ejpam-4689	200	26	ap	ap	X
ejpam-4689	200	27	+	+	NUM
ejpam-4689	200	28	bpmp	bpmp	PROPN
ejpam-4689	200	29	2	2	NUM
ejpam-4689	200	30	]	]	SYM
ejpam-4689	200	31	1	1	NUM
ejpam-4689	200	32	p	p	NOUN
ejpam-4689	200	33	)	)	PUNCT
ejpam-4689	200	34	⩽	⩽	ADJ
ejpam-4689	200	35	h	h	NOUN
ejpam-4689	201	1	(	(	PUNCT
ejpam-4689	201	2	1	1	NUM
ejpam-4689	201	3	2α	2α	NOUN
ejpam-4689	201	4	)	)	PUNCT
ejpam-4689	201	5	f	f	PROPN
ejpam-4689	201	6	(	(	PUNCT
ejpam-4689	202	1	[	[	X
ejpam-4689	202	2	mp(1−	mp(1−	PROPN
ejpam-4689	202	3	tp)bp	tp)bp	X
ejpam-4689	202	4	+	+	CCONJ
ejpam-4689	202	5	tpap	tpap	ADJ
ejpam-4689	202	6	]	]	PUNCT
ejpam-4689	202	7	1	1	NUM
ejpam-4689	202	8	p	p	NOUN
ejpam-4689	202	9	)	)	PUNCT
ejpam-4689	203	1	+	+	NOUN
ejpam-4689	203	2	mph	mph	NOUN
ejpam-4689	203	3	(	(	PUNCT
ejpam-4689	203	4	2α	2α	NOUN
ejpam-4689	203	5	−	−	PROPN
ejpam-4689	203	6	1	1	NUM
ejpam-4689	203	7	2α	2α	NOUN
ejpam-4689	203	8	)	)	PUNCT
ejpam-4689	204	1	f	f	PROPN
ejpam-4689	204	2	(	(	PUNCT
ejpam-4689	204	3	[	[	X
ejpam-4689	204	4	(	(	PUNCT
ejpam-4689	204	5	1−	1−	NUM
ejpam-4689	204	6	tp	tp	NOUN
ejpam-4689	204	7	)	)	PUNCT
ejpam-4689	204	8	ap	ap	PROPN
ejpam-4689	204	9	mp	mp	PROPN
ejpam-4689	204	10	+	+	CCONJ
ejpam-4689	204	11	bptp	bptp	PROPN
ejpam-4689	204	12	]	]	X
ejpam-4689	204	13	1	1	NUM
ejpam-4689	204	14	p	p	NOUN
ejpam-4689	204	15	)	)	PUNCT
ejpam-4689	204	16	.	.	PUNCT
ejpam-4689	205	1	multiplying	multiply	VERB
ejpam-4689	205	2	both	both	DET
ejpam-4689	205	3	sides	side	NOUN
ejpam-4689	205	4	by	by	ADP
ejpam-4689	205	5	t	t	PROPN
ejpam-4689	205	6	θp	θp	ADP
ejpam-4689	205	7	k	k	PROPN
ejpam-4689	205	8	−1	−1	NOUN
ejpam-4689	205	9	and	and	CCONJ
ejpam-4689	205	10	integrating	integrate	VERB
ejpam-4689	205	11	with	with	ADP
ejpam-4689	205	12	respect	respect	NOUN
ejpam-4689	205	13	to	to	ADP
ejpam-4689	205	14	t	t	NOUN
ejpam-4689	205	15	from	from	ADP
ejpam-4689	205	16	0	0	NUM
ejpam-4689	205	17	to	to	ADP
ejpam-4689	205	18	1	1	NUM
ejpam-4689	205	19	we	we	PRON
ejpam-4689	205	20	get∫	get∫	VERB
ejpam-4689	205	21	1	1	NUM
ejpam-4689	205	22	0	0	NUM
ejpam-4689	205	23	f	f	NOUN
ejpam-4689	205	24	(	(	PUNCT
ejpam-4689	205	25	[	[	PUNCT
ejpam-4689	205	26	ap	ap	X
ejpam-4689	205	27	+	+	NUM
ejpam-4689	205	28	bpmp	bpmp	PROPN
ejpam-4689	205	29	2	2	NUM
ejpam-4689	205	30	]	]	SYM
ejpam-4689	205	31	1	1	NUM
ejpam-4689	205	32	p	p	NOUN
ejpam-4689	205	33	)	)	PUNCT
ejpam-4689	205	34	t	t	NOUN
ejpam-4689	205	35	θp	θp	ADP
ejpam-4689	205	36	k	k	PROPN
ejpam-4689	205	37	−1dt	−1dt	PROPN
ejpam-4689	205	38	⩽	⩽	PROPN
ejpam-4689	205	39	∫	∫	PROPN
ejpam-4689	206	1	1	1	NUM
ejpam-4689	206	2	0	0	NUM
ejpam-4689	206	3	t	t	NOUN
ejpam-4689	206	4	θp	θp	ADP
ejpam-4689	206	5	k	k	PROPN
ejpam-4689	206	6	−1h	−1h	PROPN
ejpam-4689	206	7	(	(	PUNCT
ejpam-4689	206	8	1	1	NUM
ejpam-4689	206	9	2α	2α	NOUN
ejpam-4689	206	10	)	)	PUNCT
ejpam-4689	206	11	f	f	PROPN
ejpam-4689	207	1	(	(	PUNCT
ejpam-4689	207	2	[	[	X
ejpam-4689	207	3	mp(1−	mp(1−	PROPN
ejpam-4689	207	4	tp)bp	tp)bp	X
ejpam-4689	207	5	+	+	CCONJ
ejpam-4689	207	6	tpap	tpap	ADJ
ejpam-4689	207	7	]	]	PUNCT
ejpam-4689	207	8	1	1	NUM
ejpam-4689	207	9	p	p	NOUN
ejpam-4689	207	10	)	)	PUNCT
ejpam-4689	207	11	dt	dt	PROPN
ejpam-4689	208	1	+	+	CCONJ
ejpam-4689	208	2	∫	∫	PROPN
ejpam-4689	208	3	1	1	NUM
ejpam-4689	208	4	0	0	NUM
ejpam-4689	208	5	t	t	NOUN
ejpam-4689	208	6	θp	θp	ADP
ejpam-4689	208	7	k	k	PROPN
ejpam-4689	208	8	−1	−1	PROPN
ejpam-4689	208	9	mph	mph	NOUN
ejpam-4689	208	10	(	(	PUNCT
ejpam-4689	208	11	2α	2α	NOUN
ejpam-4689	208	12	−	−	PROPN
ejpam-4689	208	13	1	1	NUM
ejpam-4689	208	14	2α	2α	NOUN
ejpam-4689	208	15	)	)	PUNCT
ejpam-4689	208	16	f	f	PROPN
ejpam-4689	209	1	(	(	PUNCT
ejpam-4689	209	2	[	[	X
ejpam-4689	209	3	(	(	PUNCT
ejpam-4689	209	4	1−	1−	NUM
ejpam-4689	209	5	tp	tp	NOUN
ejpam-4689	209	6	)	)	PUNCT
ejpam-4689	209	7	ap	ap	PROPN
ejpam-4689	209	8	mp	mp	PROPN
ejpam-4689	209	9	+	+	CCONJ
ejpam-4689	209	10	bptp	bptp	PROPN
ejpam-4689	209	11	]	]	X
ejpam-4689	209	12	1	1	NUM
ejpam-4689	209	13	p	p	NOUN
ejpam-4689	209	14	)	)	PUNCT
ejpam-4689	209	15	dt	dt	PUNCT
ejpam-4689	209	16	integrating	integrate	VERB
ejpam-4689	209	17	the	the	DET
ejpam-4689	209	18	left	left	ADJ
ejpam-4689	209	19	hand	hand	NOUN
ejpam-4689	209	20	side	side	NOUN
ejpam-4689	209	21	is	be	AUX
ejpam-4689	209	22	easy	easy	ADJ
ejpam-4689	210	1	,	,	PUNCT
ejpam-4689	210	2	therefore	therefore	ADV
ejpam-4689	210	3	we	we	PRON
ejpam-4689	210	4	focus	focus	VERB
ejpam-4689	210	5	on	on	ADP
ejpam-4689	210	6	the	the	DET
ejpam-4689	210	7	right	right	ADJ
ejpam-4689	210	8	hand	hand	NOUN
ejpam-4689	210	9	side	side	NOUN
ejpam-4689	210	10	.	.	PUNCT
ejpam-4689	211	1	in	in	ADP
ejpam-4689	211	2	the	the	DET
ejpam-4689	211	3	first	first	ADJ
ejpam-4689	211	4	integral	integral	ADJ
ejpam-4689	211	5	we	we	PRON
ejpam-4689	211	6	introduce	introduce	VERB
ejpam-4689	211	7	a	a	DET
ejpam-4689	211	8	substitution	substitution	NOUN
ejpam-4689	211	9	mp(1−	mp(1−	PROPN
ejpam-4689	211	10	tp)bp	tp)bp	PUNCT
ejpam-4689	211	11	+	+	CCONJ
ejpam-4689	211	12	(	(	PUNCT
ejpam-4689	211	13	ta)p	ta)p	PROPN
ejpam-4689	211	14	=	=	SYM
ejpam-4689	211	15	yp	yp	PROPN
ejpam-4689	211	16	.	.	PROPN
ejpam-4689	211	17	from	from	ADP
ejpam-4689	211	18	which	which	PRON
ejpam-4689	211	19	we	we	PRON
ejpam-4689	211	20	get	get	VERB
ejpam-4689	211	21	that∫	that∫	NOUN
ejpam-4689	211	22	1	1	NUM
ejpam-4689	211	23	0	0	NUM
ejpam-4689	211	24	t	t	NOUN
ejpam-4689	211	25	θp	θp	ADP
ejpam-4689	211	26	k	k	PROPN
ejpam-4689	211	27	−1h	−1h	PROPN
ejpam-4689	211	28	(	(	PUNCT
ejpam-4689	211	29	1	1	NUM
ejpam-4689	211	30	2α	2α	NOUN
ejpam-4689	212	1	)	)	PUNCT
ejpam-4689	212	2	f	f	PROPN
ejpam-4689	212	3	(	(	PUNCT
ejpam-4689	213	1	[	[	X
ejpam-4689	213	2	mp(1−	mp(1−	PROPN
ejpam-4689	213	3	tp)bp	tp)bp	X
ejpam-4689	213	4	+	+	CCONJ
ejpam-4689	213	5	tpap	tpap	ADJ
ejpam-4689	213	6	]	]	PUNCT
ejpam-4689	213	7	1	1	NUM
ejpam-4689	213	8	p	p	NOUN
ejpam-4689	213	9	)	)	PUNCT
ejpam-4689	213	10	dt	dt	NOUN
ejpam-4689	214	1	=	=	SYM
ejpam-4689	214	2	1	1	NUM
ejpam-4689	214	3	(	(	PUNCT
ejpam-4689	214	4	ap	ap	PROPN
ejpam-4689	214	5	−mpbp	−mpbp	PROPN
ejpam-4689	214	6	)	)	PUNCT
ejpam-4689	214	7	θ	θ	PROPN
ejpam-4689	215	1	k	k	PROPN
ejpam-4689	215	2	∫	∫	PROPN
ejpam-4689	215	3	a	a	DET
ejpam-4689	215	4	mb	mb	ADP
ejpam-4689	215	5	f(y)(yp	f(y)(yp	PROPN
ejpam-4689	215	6	−mpbp	−mpbp	NOUN
ejpam-4689	215	7	)	)	PUNCT
ejpam-4689	215	8	θ	θ	PROPN
ejpam-4689	215	9	k	k	PROPN
ejpam-4689	215	10	−1yp−1dy	−1yp−1dy	X
ejpam-4689	215	11	.	.	PUNCT
ejpam-4689	216	1	multiplying	multiply	VERB
ejpam-4689	216	2	the	the	DET
ejpam-4689	216	3	integral	integral	ADJ
ejpam-4689	216	4	with	with	ADP
ejpam-4689	216	5	the	the	DET
ejpam-4689	216	6	needed	need	VERB
ejpam-4689	216	7	constants	constant	NOUN
ejpam-4689	216	8	for	for	ADP
ejpam-4689	216	9	the	the	DET
ejpam-4689	216	10	k−p	k−p	NOUN
ejpam-4689	216	11	riemann	riemann	PROPN
ejpam-4689	216	12	liouville	liouville	PROPN
ejpam-4689	216	13	fractional	fractional	PROPN
ejpam-4689	216	14	integral	integral	ADJ
ejpam-4689	216	15	,	,	PUNCT
ejpam-4689	216	16	we	we	PRON
ejpam-4689	216	17	get	get	VERB
ejpam-4689	216	18	the	the	DET
ejpam-4689	216	19	following∫	following∫	NOUN
ejpam-4689	216	20	1	1	NUM
ejpam-4689	216	21	0	0	NUM
ejpam-4689	216	22	t	t	NOUN
ejpam-4689	216	23	θp	θp	ADP
ejpam-4689	216	24	k	k	PROPN
ejpam-4689	216	25	−1h	−1h	PROPN
ejpam-4689	216	26	(	(	PUNCT
ejpam-4689	216	27	1	1	NUM
ejpam-4689	216	28	2α	2α	NOUN
ejpam-4689	216	29	)	)	PUNCT
ejpam-4689	216	30	f	f	PROPN
ejpam-4689	216	31	(	(	PUNCT
ejpam-4689	217	1	[	[	X
ejpam-4689	217	2	mp(1−	mp(1−	PROPN
ejpam-4689	217	3	tp)bp	tp)bp	X
ejpam-4689	217	4	+	+	CCONJ
ejpam-4689	217	5	tpap	tpap	ADJ
ejpam-4689	217	6	]	]	PUNCT
ejpam-4689	217	7	1	1	NUM
ejpam-4689	217	8	p	p	NOUN
ejpam-4689	217	9	)	)	PUNCT
ejpam-4689	217	10	dt	dt	NOUN
ejpam-4689	218	1	=	=	PUNCT
ejpam-4689	218	2	h	h	PROPN
ejpam-4689	218	3	(	(	PUNCT
ejpam-4689	218	4	1	1	NUM
ejpam-4689	218	5	2α	2α	NOUN
ejpam-4689	218	6	)	)	PUNCT
ejpam-4689	218	7	kγk(θ	kγk(θ	PROPN
ejpam-4689	218	8	)	)	PUNCT
ejpam-4689	219	1	p1−	p1−	PROPN
ejpam-4689	219	2	θ	θ	X
ejpam-4689	219	3	k	k	PROPN
ejpam-4689	219	4	(	(	PUNCT
ejpam-4689	219	5	ap	ap	PROPN
ejpam-4689	219	6	−mpbp	−mpbp	PROPN
ejpam-4689	219	7	)	)	PUNCT
ejpam-4689	219	8	θ	θ	PROPN
ejpam-4689	220	1	k	k	PROPN
ejpam-4689	220	2	p−1	p−1	PROPN
ejpam-4689	221	1	k	k	PROPN
ejpam-4689	221	2	jθ	jθ	ADV
ejpam-4689	221	3	a−f(mb	a−f(mb	PROPN
ejpam-4689	221	4	)	)	PUNCT
ejpam-4689	221	5	.	.	PUNCT
ejpam-4689	222	1	v.	v.	ADP
ejpam-4689	222	2	stojiljković	stojiljković	NOUN
ejpam-4689	222	3	/	/	SYM
ejpam-4689	222	4	eur	eur	PROPN
ejpam-4689	222	5	.	.	PUNCT
ejpam-4689	223	1	j.	j.	PROPN
ejpam-4689	223	2	pure	pure	PROPN
ejpam-4689	223	3	appl	appl	PROPN
ejpam-4689	223	4	.	.	PROPN
ejpam-4689	223	5	math	math	PROPN
ejpam-4689	223	6	,	,	PUNCT
ejpam-4689	223	7	16	16	NUM
ejpam-4689	223	8	(	(	PUNCT
ejpam-4689	223	9	1	1	NUM
ejpam-4689	223	10	)	)	PUNCT
ejpam-4689	223	11	(	(	PUNCT
ejpam-4689	223	12	2023	2023	NUM
ejpam-4689	223	13	)	)	PUNCT
ejpam-4689	223	14	,	,	PUNCT
ejpam-4689	223	15	503	503	NUM
ejpam-4689	223	16	-	-	SYM
ejpam-4689	223	17	522	522	NUM
ejpam-4689	223	18	510	510	NUM
ejpam-4689	223	19	similar	similar	ADJ
ejpam-4689	223	20	procedure	procedure	NOUN
ejpam-4689	223	21	can	can	AUX
ejpam-4689	223	22	be	be	AUX
ejpam-4689	223	23	applied	apply	VERB
ejpam-4689	223	24	to	to	ADP
ejpam-4689	223	25	the	the	DET
ejpam-4689	223	26	second	second	ADJ
ejpam-4689	223	27	integral	integral	ADJ
ejpam-4689	223	28	introducing	introduce	VERB
ejpam-4689	223	29	a	a	DET
ejpam-4689	223	30	substitution	substitution	NOUN
ejpam-4689	223	31	ap	ap	PROPN
ejpam-4689	223	32	mp	mp	PROPN
ejpam-4689	223	33	−	−	PROPN
ejpam-4689	223	34	tpap	tpap	PROPN
ejpam-4689	223	35	mp	mp	PROPN
ejpam-4689	223	36	+	+	CCONJ
ejpam-4689	223	37	bptp	bptp	VERB
ejpam-4689	223	38	=	=	SYM
ejpam-4689	223	39	yp	yp	PROPN
ejpam-4689	223	40	while	while	SCONJ
ejpam-4689	223	41	noting	note	VERB
ejpam-4689	223	42	that	that	SCONJ
ejpam-4689	223	43	ap	ap	PROPN
ejpam-4689	223	44	mp	mp	PROPN
ejpam-4689	223	45	>	>	X
ejpam-4689	223	46	bp	bp	PROPN
ejpam-4689	223	47	.	.	PROPN
ejpam-4689	224	1	from	from	ADP
ejpam-4689	224	2	which	which	PRON
ejpam-4689	224	3	we	we	PRON
ejpam-4689	224	4	get	get	VERB
ejpam-4689	224	5	that∫	that∫	NOUN
ejpam-4689	224	6	1	1	NUM
ejpam-4689	224	7	0	0	NUM
ejpam-4689	224	8	t	t	NOUN
ejpam-4689	224	9	θp	θp	ADP
ejpam-4689	224	10	k	k	PROPN
ejpam-4689	224	11	−1	−1	PROPN
ejpam-4689	224	12	mph	mph	NOUN
ejpam-4689	224	13	(	(	PUNCT
ejpam-4689	224	14	2α	2α	NOUN
ejpam-4689	224	15	−	−	PROPN
ejpam-4689	224	16	1	1	NUM
ejpam-4689	224	17	2α	2α	NOUN
ejpam-4689	224	18	)	)	PUNCT
ejpam-4689	225	1	f	f	PROPN
ejpam-4689	225	2	(	(	PUNCT
ejpam-4689	225	3	[	[	X
ejpam-4689	225	4	(	(	PUNCT
ejpam-4689	225	5	1−	1−	NUM
ejpam-4689	225	6	tp	tp	NOUN
ejpam-4689	225	7	)	)	PUNCT
ejpam-4689	225	8	ap	ap	PROPN
ejpam-4689	225	9	mp	mp	PROPN
ejpam-4689	225	10	+	+	CCONJ
ejpam-4689	225	11	bptp	bptp	PROPN
ejpam-4689	225	12	]	]	X
ejpam-4689	225	13	1	1	NUM
ejpam-4689	225	14	p	p	NOUN
ejpam-4689	225	15	)	)	PUNCT
ejpam-4689	225	16	dt	dt	NOUN
ejpam-4689	226	1	=	=	SYM
ejpam-4689	226	2	h	h	PROPN
ejpam-4689	226	3	(	(	PUNCT
ejpam-4689	226	4	2α	2α	NOUN
ejpam-4689	226	5	−	−	PROPN
ejpam-4689	226	6	1	1	NUM
ejpam-4689	226	7	2α	2α	NOUN
ejpam-4689	226	8	)	)	PUNCT
ejpam-4689	226	9	m	m	VERB
ejpam-4689	226	10	pθ	pθ	VERB
ejpam-4689	226	11	k	k	PROPN
ejpam-4689	226	12	γk(θ	γk(θ	NOUN
ejpam-4689	226	13	)	)	PUNCT
ejpam-4689	227	1	p1−	p1−	PROPN
ejpam-4689	227	2	θ	θ	X
ejpam-4689	227	3	k	k	PROPN
ejpam-4689	227	4	(	(	PUNCT
ejpam-4689	227	5	ap	ap	PROPN
ejpam-4689	227	6	−mpbp	−mpbp	PROPN
ejpam-4689	227	7	)	)	PUNCT
ejpam-4689	227	8	θ	θ	PROPN
ejpam-4689	228	1	k	k	PROPN
ejpam-4689	229	1	p−1	p−1	PROPN
ejpam-4689	229	2	k	k	PROPN
ejpam-4689	229	3	jθ	jθ	ADP
ejpam-4689	229	4	b+f	b+f	PROPN
ejpam-4689	229	5	(	(	PUNCT
ejpam-4689	229	6	a	a	DET
ejpam-4689	229	7	m	m	NOUN
ejpam-4689	229	8	)	)	PUNCT
ejpam-4689	229	9	.	.	PUNCT
ejpam-4689	230	1	now	now	ADV
ejpam-4689	230	2	we	we	PRON
ejpam-4689	230	3	focus	focus	VERB
ejpam-4689	230	4	on	on	ADP
ejpam-4689	230	5	the	the	DET
ejpam-4689	230	6	right	right	ADJ
ejpam-4689	230	7	hand	hand	NOUN
ejpam-4689	230	8	side	side	NOUN
ejpam-4689	230	9	inequality	inequality	NOUN
ejpam-4689	230	10	h	h	NOUN
ejpam-4689	230	11	(	(	PUNCT
ejpam-4689	230	12	1	1	NUM
ejpam-4689	230	13	2α	2α	NOUN
ejpam-4689	230	14	)	)	PUNCT
ejpam-4689	230	15	f	f	PROPN
ejpam-4689	230	16	(	(	PUNCT
ejpam-4689	231	1	[	[	X
ejpam-4689	231	2	mp(1−	mp(1−	PROPN
ejpam-4689	231	3	tp)bp	tp)bp	X
ejpam-4689	231	4	+	+	CCONJ
ejpam-4689	231	5	tpap	tpap	ADJ
ejpam-4689	231	6	]	]	PUNCT
ejpam-4689	231	7	1	1	NUM
ejpam-4689	231	8	p	p	NOUN
ejpam-4689	231	9	)	)	PUNCT
ejpam-4689	232	1	+	+	NOUN
ejpam-4689	232	2	mph	mph	NOUN
ejpam-4689	232	3	(	(	PUNCT
ejpam-4689	232	4	2α	2α	NOUN
ejpam-4689	232	5	−	−	PROPN
ejpam-4689	232	6	1	1	NUM
ejpam-4689	232	7	2α	2α	NOUN
ejpam-4689	232	8	)	)	PUNCT
ejpam-4689	233	1	f	f	PROPN
ejpam-4689	233	2	(	(	PUNCT
ejpam-4689	233	3	[	[	X
ejpam-4689	233	4	(	(	PUNCT
ejpam-4689	233	5	1−	1−	NUM
ejpam-4689	233	6	tp	tp	NOUN
ejpam-4689	233	7	)	)	PUNCT
ejpam-4689	233	8	ap	ap	PROPN
ejpam-4689	233	9	mp	mp	PROPN
ejpam-4689	233	10	+	+	CCONJ
ejpam-4689	233	11	bptp	bptp	PROPN
ejpam-4689	233	12	]	]	X
ejpam-4689	233	13	1	1	NUM
ejpam-4689	233	14	p	p	NOUN
ejpam-4689	233	15	)	)	PUNCT
ejpam-4689	233	16	.	.	PUNCT
ejpam-4689	234	1	using	use	VERB
ejpam-4689	234	2	the	the	DET
ejpam-4689	234	3	definition	definition	NOUN
ejpam-4689	234	4	of	of	ADP
ejpam-4689	234	5	(	(	PUNCT
ejpam-4689	234	6	α	α	NOUN
ejpam-4689	234	7	,	,	PUNCT
ejpam-4689	234	8	h	h	NOUN
ejpam-4689	234	9	,	,	PUNCT
ejpam-4689	234	10	m)-p	m)-p	ADV
ejpam-4689	234	11	convexity	convexity	NOUN
ejpam-4689	234	12	and	and	CCONJ
ejpam-4689	234	13	multiplying	multiply	VERB
ejpam-4689	234	14	both	both	DET
ejpam-4689	234	15	sides	side	NOUN
ejpam-4689	234	16	by	by	ADP
ejpam-4689	234	17	t	t	PROPN
ejpam-4689	234	18	θp	θp	ADP
ejpam-4689	234	19	k	k	PROPN
ejpam-4689	234	20	−1	−1	NOUN
ejpam-4689	234	21	and	and	CCONJ
ejpam-4689	234	22	integrating	integrate	VERB
ejpam-4689	234	23	with	with	ADP
ejpam-4689	234	24	respect	respect	NOUN
ejpam-4689	234	25	to	to	ADP
ejpam-4689	234	26	t	t	NOUN
ejpam-4689	234	27	from	from	ADP
ejpam-4689	234	28	0	0	NUM
ejpam-4689	234	29	to	to	PART
ejpam-4689	234	30	1	1	NUM
ejpam-4689	234	31	we	we	PRON
ejpam-4689	234	32	get	get	VERB
ejpam-4689	234	33	that	that	DET
ejpam-4689	234	34	h	h	NOUN
ejpam-4689	234	35	(	(	PUNCT
ejpam-4689	234	36	1	1	NUM
ejpam-4689	234	37	2α	2α	NOUN
ejpam-4689	234	38	)	)	PUNCT
ejpam-4689	234	39	kγk(θ	kγk(θ	PROPN
ejpam-4689	234	40	)	)	PUNCT
ejpam-4689	235	1	p1−	p1−	PROPN
ejpam-4689	235	2	θ	θ	X
ejpam-4689	235	3	k	k	PROPN
ejpam-4689	235	4	(	(	PUNCT
ejpam-4689	235	5	ap	ap	PROPN
ejpam-4689	235	6	−mpbp	−mpbp	PROPN
ejpam-4689	235	7	)	)	PUNCT
ejpam-4689	235	8	θ	θ	PROPN
ejpam-4689	236	1	k	k	PROPN
ejpam-4689	236	2	p−1	p−1	PROPN
ejpam-4689	237	1	k	k	PROPN
ejpam-4689	237	2	jθ	jθ	ADV
ejpam-4689	237	3	a−f(mb	a−f(mb	PROPN
ejpam-4689	237	4	)	)	PUNCT
ejpam-4689	238	1	+	+	NOUN
ejpam-4689	238	2	mph	mph	NOUN
ejpam-4689	238	3	(	(	PUNCT
ejpam-4689	238	4	2α	2α	NOUN
ejpam-4689	238	5	−	−	PROPN
ejpam-4689	238	6	1	1	NUM
ejpam-4689	238	7	2α	2α	NOUN
ejpam-4689	238	8	)	)	PUNCT
ejpam-4689	238	9	m	m	VERB
ejpam-4689	238	10	pθ	pθ	VERB
ejpam-4689	238	11	k	k	PROPN
ejpam-4689	238	12	γk(θ	γk(θ	NOUN
ejpam-4689	238	13	)	)	PUNCT
ejpam-4689	239	1	p1−	p1−	PROPN
ejpam-4689	239	2	θ	θ	X
ejpam-4689	239	3	k	k	PROPN
ejpam-4689	239	4	(	(	PUNCT
ejpam-4689	239	5	ap	ap	PROPN
ejpam-4689	239	6	−mpbp	−mpbp	PROPN
ejpam-4689	239	7	)	)	PUNCT
ejpam-4689	239	8	θ	θ	PROPN
ejpam-4689	240	1	k	k	PROPN
ejpam-4689	241	1	p−1	p−1	PROPN
ejpam-4689	241	2	k	k	PROPN
ejpam-4689	241	3	jθ	jθ	ADP
ejpam-4689	241	4	b+f	b+f	PROPN
ejpam-4689	241	5	(	(	PUNCT
ejpam-4689	241	6	a	a	DET
ejpam-4689	241	7	m	m	NOUN
ejpam-4689	241	8	)	)	PUNCT
ejpam-4689	241	9	⩽	⩽	NOUN
ejpam-4689	241	10	(	(	PUNCT
ejpam-4689	241	11	(	(	PUNCT
ejpam-4689	241	12	h	h	NOUN
ejpam-4689	241	13	(	(	PUNCT
ejpam-4689	241	14	1	1	NUM
ejpam-4689	241	15	2α	2α	NOUN
ejpam-4689	241	16	)	)	PUNCT
ejpam-4689	241	17	f(a	f(a	NOUN
ejpam-4689	241	18	)	)	PUNCT
ejpam-4689	242	1	+	+	NOUN
ejpam-4689	242	2	mph	mph	NOUN
ejpam-4689	242	3	(	(	PUNCT
ejpam-4689	242	4	2α	2α	NOUN
ejpam-4689	242	5	−	−	PROPN
ejpam-4689	242	6	1	1	NUM
ejpam-4689	242	7	2α	2α	NOUN
ejpam-4689	242	8	)	)	PUNCT
ejpam-4689	242	9	f(b	f(b	PROPN
ejpam-4689	242	10	)	)	PUNCT
ejpam-4689	242	11	)	)	PUNCT
ejpam-4689	242	12	∫	∫	PROPN
ejpam-4689	243	1	1	1	NUM
ejpam-4689	243	2	0	0	NUM
ejpam-4689	243	3	h(tlp)t	h(tlp)t	NOUN
ejpam-4689	243	4	θp	θp	ADP
ejpam-4689	243	5	k	k	PROPN
ejpam-4689	243	6	−1dt	−1dt	PROPN
ejpam-4689	243	7	)	)	PUNCT
ejpam-4689	243	8	θp	θp	ADP
ejpam-4689	243	9	k	k	PROPN
ejpam-4689	244	1	+	+	CCONJ
ejpam-4689	244	2	(	(	PUNCT
ejpam-4689	244	3	mph	mph	NOUN
ejpam-4689	244	4	(	(	PUNCT
ejpam-4689	244	5	1	1	NUM
ejpam-4689	244	6	2α	2α	NOUN
ejpam-4689	244	7	)	)	PUNCT
ejpam-4689	244	8	f(b	f(b	PROPN
ejpam-4689	244	9	)	)	PUNCT
ejpam-4689	245	1	+	+	NUM
ejpam-4689	245	2	h	h	NOUN
ejpam-4689	245	3	(	(	PUNCT
ejpam-4689	245	4	2α	2α	NOUN
ejpam-4689	245	5	−	−	PROPN
ejpam-4689	245	6	1	1	NUM
ejpam-4689	245	7	2α	2α	NOUN
ejpam-4689	245	8	)	)	PUNCT
ejpam-4689	245	9	f(a	f(a	PROPN
ejpam-4689	245	10	)	)	PUNCT
ejpam-4689	245	11	)	)	PUNCT
ejpam-4689	245	12	∫	∫	PROPN
ejpam-4689	245	13	1	1	NUM
ejpam-4689	245	14	0	0	NUM
ejpam-4689	245	15	h(1−	h(1−	PROPN
ejpam-4689	245	16	tlp)t	tlp)t	NOUN
ejpam-4689	245	17	θp	θp	ADP
ejpam-4689	245	18	k	k	PROPN
ejpam-4689	245	19	−1dt	−1dt	PROPN
ejpam-4689	245	20	)	)	PUNCT
ejpam-4689	245	21	θp	θp	ADP
ejpam-4689	245	22	k	k	PROPN
ejpam-4689	245	23	.	.	PUNCT
ejpam-4689	246	1	connecting	connect	VERB
ejpam-4689	246	2	the	the	DET
ejpam-4689	246	3	left	left	ADJ
ejpam-4689	246	4	hand	hand	NOUN
ejpam-4689	246	5	side	side	NOUN
ejpam-4689	246	6	inequality	inequality	NOUN
ejpam-4689	246	7	with	with	ADP
ejpam-4689	246	8	the	the	DET
ejpam-4689	246	9	right	right	ADJ
ejpam-4689	246	10	hand	hand	NOUN
ejpam-4689	246	11	side	side	NOUN
ejpam-4689	246	12	inequality	inequality	NOUN
ejpam-4689	246	13	,	,	PUNCT
ejpam-4689	246	14	we	we	PRON
ejpam-4689	246	15	get	get	VERB
ejpam-4689	246	16	the	the	DET
ejpam-4689	246	17	desired	desire	VERB
ejpam-4689	246	18	inequality	inequality	NOUN
ejpam-4689	246	19	.	.	PUNCT
ejpam-4689	247	1	corollary	corollary	ADJ
ejpam-4689	247	2	1	1	NUM
ejpam-4689	247	3	.	.	PUNCT
ejpam-4689	248	1	setting	set	VERB
ejpam-4689	248	2	p	p	NOUN
ejpam-4689	248	3	=	=	SYM
ejpam-4689	248	4	1	1	NUM
ejpam-4689	248	5	and	and	CCONJ
ejpam-4689	248	6	l	l	NOUN
ejpam-4689	248	7	,	,	PUNCT
ejpam-4689	248	8	α	α	NOUN
ejpam-4689	248	9	=	=	NOUN
ejpam-4689	248	10	1	1	NUM
ejpam-4689	248	11	in	in	ADP
ejpam-4689	248	12	the	the	DET
ejpam-4689	248	13	previously	previously	ADV
ejpam-4689	248	14	derived	derive	VERB
ejpam-4689	248	15	theorem	theorem	NOUN
ejpam-4689	248	16	,	,	PUNCT
ejpam-4689	248	17	we	we	PRON
ejpam-4689	248	18	obtain	obtain	AUX
ejpam-4689	248	19	theorem	theorem	ADJ
ejpam-4689	248	20	1	1	NUM
ejpam-4689	248	21	from	from	ADP
ejpam-4689	248	22	the	the	DET
ejpam-4689	248	23	paper	paper	NOUN
ejpam-4689	249	1	[	[	X
ejpam-4689	249	2	40	40	NUM
ejpam-4689	249	3	]	]	X
ejpam-4689	249	4	f	f	PROPN
ejpam-4689	249	5	(	(	PUNCT
ejpam-4689	249	6	a+bm	a+bm	NOUN
ejpam-4689	249	7	2	2	NUM
ejpam-4689	249	8	)	)	PUNCT
ejpam-4689	249	9	h(12	h(12	ADJ
ejpam-4689	249	10	)	)	PUNCT
ejpam-4689	249	11	⩽	⩽	NOUN
ejpam-4689	249	12	αγk(α	αγk(α	PROPN
ejpam-4689	249	13	)	)	PUNCT
ejpam-4689	249	14	(	(	PUNCT
ejpam-4689	249	15	iα	iα	INTJ
ejpam-4689	249	16	,	,	PUNCT
ejpam-4689	249	17	k	k	PROPN
ejpam-4689	249	18	(	(	PUNCT
ejpam-4689	249	19	a)−f(mb	a)−f(mb	PRON
ejpam-4689	249	20	)	)	PUNCT
ejpam-4689	249	21	(	(	PUNCT
ejpam-4689	249	22	a−	a−	PROPN
ejpam-4689	249	23	bm	bm	PROPN
ejpam-4689	249	24	)	)	PUNCT
ejpam-4689	250	1	α	α	PROPN
ejpam-4689	250	2	k	k	PROPN
ejpam-4689	251	1	+	+	NUM
ejpam-4689	251	2	miα	miα	PROPN
ejpam-4689	251	3	,	,	PUNCT
ejpam-4689	251	4	k	k	PROPN
ejpam-4689	251	5	(	(	PUNCT
ejpam-4689	251	6	b)+	b)+	PROPN
ejpam-4689	251	7	f	f	X
ejpam-4689	251	8	(	(	PUNCT
ejpam-4689	251	9	a	a	DET
ejpam-4689	251	10	m	m	NOUN
ejpam-4689	251	11	)	)	PUNCT
ejpam-4689	251	12	(	(	PUNCT
ejpam-4689	251	13	a	a	DET
ejpam-4689	251	14	m	m	NOUN
ejpam-4689	251	15	−	−	PROPN
ejpam-4689	251	16	b	b	NOUN
ejpam-4689	251	17	)	)	PUNCT
ejpam-4689	251	18	α	α	PROPN
ejpam-4689	251	19	k	k	NOUN
ejpam-4689	251	20	)	)	PUNCT
ejpam-4689	251	21	⩽	⩽	PROPN
ejpam-4689	251	22	α(f(a	α(f(a	PROPN
ejpam-4689	251	23	)	)	PUNCT
ejpam-4689	251	24	+	+	NOUN
ejpam-4689	251	25	mf(b	mf(b	X
ejpam-4689	251	26	)	)	PUNCT
ejpam-4689	251	27	)	)	PUNCT
ejpam-4689	252	1	k	k	X
ejpam-4689	252	2	∫	∫	PROPN
ejpam-4689	252	3	1	1	NUM
ejpam-4689	252	4	0	0	NUM
ejpam-4689	252	5	t	t	PROPN
ejpam-4689	252	6	α	α	PROPN
ejpam-4689	252	7	k	k	PROPN
ejpam-4689	252	8	−1h(t)dt+	−1h(t)dt+	NUM
ejpam-4689	252	9	α(f(a	α(f(a	PROPN
ejpam-4689	252	10	)	)	PUNCT
ejpam-4689	252	11	+	+	NOUN
ejpam-4689	252	12	mf(b	mf(b	X
ejpam-4689	252	13	)	)	PUNCT
ejpam-4689	252	14	)	)	PUNCT
ejpam-4689	253	1	k	k	X
ejpam-4689	253	2	∫	∫	PROPN
ejpam-4689	253	3	1	1	NUM
ejpam-4689	253	4	0	0	NUM
ejpam-4689	253	5	t	t	PROPN
ejpam-4689	253	6	α	α	X
ejpam-4689	253	7	k	k	PROPN
ejpam-4689	253	8	−1h(1−	−1h(1−	PROPN
ejpam-4689	253	9	t)dt	t)dt	PROPN
ejpam-4689	253	10	.	.	PUNCT
ejpam-4689	253	11	corollary	corollary	ADJ
ejpam-4689	253	12	2	2	NUM
ejpam-4689	253	13	.	.	PUNCT
ejpam-4689	253	14	setting	set	VERB
ejpam-4689	253	15	p	p	NOUN
ejpam-4689	253	16	=	=	NOUN
ejpam-4689	253	17	3	3	NUM
ejpam-4689	253	18	in	in	ADP
ejpam-4689	253	19	the	the	DET
ejpam-4689	253	20	previously	previously	ADV
ejpam-4689	253	21	derived	derive	VERB
ejpam-4689	253	22	theorem	theorem	NOUN
ejpam-4689	253	23	,	,	PUNCT
ejpam-4689	253	24	we	we	PRON
ejpam-4689	253	25	obtain	obtain	VERB
ejpam-4689	253	26	a	a	DET
ejpam-4689	253	27	new	new	ADJ
ejpam-4689	253	28	inequality	inequality	NOUN
ejpam-4689	253	29	of	of	ADP
ejpam-4689	253	30	the	the	DET
ejpam-4689	253	31	k	k	PROPN
ejpam-4689	253	32	−	−	PROPN
ejpam-4689	253	33	p	p	PROPN
ejpam-4689	253	34	riemann	riemann	PROPN
ejpam-4689	253	35	liouville	liouville	PROPN
ejpam-4689	253	36	fractional	fractional	ADJ
ejpam-4689	253	37	type	type	NOUN
ejpam-4689	253	38	f	f	PROPN
ejpam-4689	253	39	(	(	PUNCT
ejpam-4689	253	40	[	[	PUNCT
ejpam-4689	253	41	a3	a3	NOUN
ejpam-4689	253	42	+	+	PROPN
ejpam-4689	253	43	m3b3	m3b3	X
ejpam-4689	253	44	2	2	NUM
ejpam-4689	253	45	]	]	SYM
ejpam-4689	253	46	1	1	NUM
ejpam-4689	253	47	3	3	NUM
ejpam-4689	253	48	)	)	PUNCT
ejpam-4689	253	49	⩽	⩽	ADJ
ejpam-4689	253	50	h	h	NOUN
ejpam-4689	254	1	(	(	PUNCT
ejpam-4689	254	2	1	1	NUM
ejpam-4689	254	3	2α	2α	NOUN
ejpam-4689	254	4	)	)	PUNCT
ejpam-4689	254	5	θγk(θ)3	θγk(θ)3	PROPN
ejpam-4689	254	6	θ	θ	X
ejpam-4689	254	7	k	k	X
ejpam-4689	254	8	(	(	PUNCT
ejpam-4689	254	9	a3	a3	PROPN
ejpam-4689	254	10	−m3b3	−m3b3	PROPN
ejpam-4689	254	11	)	)	PUNCT
ejpam-4689	254	12	θ	θ	PROPN
ejpam-4689	254	13	k	k	NOUN
ejpam-4689	254	14	2	2	NUM
ejpam-4689	254	15	kj	kj	NOUN
ejpam-4689	254	16	θ	θ	PROPN
ejpam-4689	254	17	a−f(mb	a−f(mb	PROPN
ejpam-4689	254	18	)	)	PUNCT
ejpam-4689	254	19	v.	v.	ADP
ejpam-4689	254	20	stojiljković	stojiljković	NOUN
ejpam-4689	254	21	/	/	SYM
ejpam-4689	254	22	eur	eur	PROPN
ejpam-4689	254	23	.	.	PUNCT
ejpam-4689	255	1	j.	j.	PROPN
ejpam-4689	255	2	pure	pure	PROPN
ejpam-4689	255	3	appl	appl	PROPN
ejpam-4689	255	4	.	.	PROPN
ejpam-4689	255	5	math	math	PROPN
ejpam-4689	255	6	,	,	PUNCT
ejpam-4689	255	7	16	16	NUM
ejpam-4689	255	8	(	(	PUNCT
ejpam-4689	255	9	1	1	NUM
ejpam-4689	255	10	)	)	PUNCT
ejpam-4689	255	11	(	(	PUNCT
ejpam-4689	255	12	2023	2023	NUM
ejpam-4689	255	13	)	)	PUNCT
ejpam-4689	255	14	,	,	PUNCT
ejpam-4689	255	15	503	503	NUM
ejpam-4689	255	16	-	-	SYM
ejpam-4689	255	17	522	522	NUM
ejpam-4689	255	18	511	511	NUM
ejpam-4689	255	19	+	+	NOUN
ejpam-4689	255	20	m3	m3	NOUN
ejpam-4689	255	21	θγk(θ)h	θγk(θ)h	NOUN
ejpam-4689	255	22	(	(	PUNCT
ejpam-4689	255	23	2α−1	2α−1	NUM
ejpam-4689	255	24	2α	2α	NOUN
ejpam-4689	255	25	)	)	PUNCT
ejpam-4689	255	26	3	3	NUM
ejpam-4689	255	27	θ	θ	SYM
ejpam-4689	255	28	k	k	X
ejpam-4689	255	29	(	(	PUNCT
ejpam-4689	255	30	a3	a3	PROPN
ejpam-4689	255	31	m3	m3	PROPN
ejpam-4689	255	32	−	−	PROPN
ejpam-4689	255	33	b3	b3	PROPN
ejpam-4689	255	34	)	)	PUNCT
ejpam-4689	255	35	θ	θ	PROPN
ejpam-4689	256	1	k	k	NOUN
ejpam-4689	256	2	2	2	NUM
ejpam-4689	256	3	kj	kj	PROPN
ejpam-4689	256	4	θ	θ	PROPN
ejpam-4689	256	5	(	(	PUNCT
ejpam-4689	256	6	b)+f	b)+f	NOUN
ejpam-4689	256	7	(	(	PUNCT
ejpam-4689	256	8	a	a	DET
ejpam-4689	256	9	m	m	NOUN
ejpam-4689	256	10	)	)	PUNCT
ejpam-4689	256	11	⩽	⩽	NOUN
ejpam-4689	256	12	(	(	PUNCT
ejpam-4689	256	13	(	(	PUNCT
ejpam-4689	256	14	h	h	NOUN
ejpam-4689	256	15	(	(	PUNCT
ejpam-4689	256	16	1	1	NUM
ejpam-4689	256	17	2α	2α	NOUN
ejpam-4689	256	18	)	)	PUNCT
ejpam-4689	256	19	f(a	f(a	NOUN
ejpam-4689	256	20	)	)	PUNCT
ejpam-4689	257	1	+	+	NUM
ejpam-4689	257	2	m3h	m3h	PROPN
ejpam-4689	257	3	(	(	PUNCT
ejpam-4689	257	4	2α	2α	NOUN
ejpam-4689	257	5	−	−	PROPN
ejpam-4689	257	6	1	1	NUM
ejpam-4689	257	7	2α	2α	NOUN
ejpam-4689	257	8	)	)	PUNCT
ejpam-4689	257	9	f(b	f(b	PROPN
ejpam-4689	257	10	)	)	PUNCT
ejpam-4689	257	11	)	)	PUNCT
ejpam-4689	257	12	∫	∫	PROPN
ejpam-4689	257	13	1	1	NUM
ejpam-4689	257	14	0	0	NUM
ejpam-4689	257	15	h(t3l)t	h(t3l)t	PROPN
ejpam-4689	258	1	3θ	3θ	NUM
ejpam-4689	258	2	k	k	PROPN
ejpam-4689	258	3	−1dt	−1dt	PROPN
ejpam-4689	258	4	)	)	PUNCT
ejpam-4689	258	5	·	·	PUNCT
ejpam-4689	259	1	3θ	3θ	NUM
ejpam-4689	260	1	k	k	NOUN
ejpam-4689	260	2	+	+	PUNCT
ejpam-4689	260	3	(	(	PUNCT
ejpam-4689	260	4	(	(	PUNCT
ejpam-4689	260	5	m3h	m3h	NOUN
ejpam-4689	260	6	(	(	PUNCT
ejpam-4689	260	7	1	1	NUM
ejpam-4689	260	8	2α	2α	NOUN
ejpam-4689	260	9	)	)	PUNCT
ejpam-4689	260	10	f(b	f(b	PROPN
ejpam-4689	260	11	)	)	PUNCT
ejpam-4689	261	1	+	+	NUM
ejpam-4689	261	2	m3h	m3h	PROPN
ejpam-4689	261	3	(	(	PUNCT
ejpam-4689	261	4	2α	2α	NOUN
ejpam-4689	261	5	−	−	PROPN
ejpam-4689	261	6	1	1	NUM
ejpam-4689	261	7	2α	2α	NOUN
ejpam-4689	261	8	)	)	PUNCT
ejpam-4689	261	9	f(a	f(a	PROPN
ejpam-4689	261	10	)	)	PUNCT
ejpam-4689	261	11	m3	m3	PROPN
ejpam-4689	261	12	)	)	PUNCT
ejpam-4689	261	13	∫	∫	PROPN
ejpam-4689	261	14	1	1	NUM
ejpam-4689	261	15	0	0	NUM
ejpam-4689	261	16	h(1−	h(1−	NOUN
ejpam-4689	261	17	t3l)t	t3l)t	X
ejpam-4689	261	18	3θ	3θ	NUM
ejpam-4689	261	19	k	k	PROPN
ejpam-4689	261	20	−1dt	−1dt	PROPN
ejpam-4689	261	21	)	)	PUNCT
ejpam-4689	261	22	·	·	PUNCT
ejpam-4689	261	23	3θ	3θ	NUM
ejpam-4689	262	1	k	k	X
ejpam-4689	262	2	.	.	PUNCT
ejpam-4689	263	1	theorem	theorem	PROPN
ejpam-4689	263	2	2	2	NUM
ejpam-4689	263	3	.	.	PUNCT
ejpam-4689	264	1	let	let	VERB
ejpam-4689	264	2	f	f	NOUN
ejpam-4689	264	3	:	:	PUNCT
ejpam-4689	265	1	[	[	X
ejpam-4689	265	2	ap	ap	PROPN
ejpam-4689	265	3	,	,	PUNCT
ejpam-4689	265	4	bp	bp	PROPN
ejpam-4689	265	5	]	]	PUNCT
ejpam-4689	265	6	→	→	SYM
ejpam-4689	265	7	r.	r.	PROPN
ejpam-4689	265	8	if	if	SCONJ
ejpam-4689	265	9	f	f	PROPN
ejpam-4689	265	10	is	be	AUX
ejpam-4689	265	11	(	(	PUNCT
ejpam-4689	265	12	α	α	NOUN
ejpam-4689	265	13	,	,	PUNCT
ejpam-4689	265	14	h	h	NOUN
ejpam-4689	265	15	−	−	PROPN
ejpam-4689	265	16	m	m	NOUN
ejpam-4689	265	17	)	)	PUNCT
ejpam-4689	265	18	−	−	PROPN
ejpam-4689	265	19	p	p	NOUN
ejpam-4689	265	20	convex	convex	NOUN
ejpam-4689	265	21	on	on	ADP
ejpam-4689	265	22	[	[	X
ejpam-4689	265	23	ap	ap	PROPN
ejpam-4689	265	24	,	,	PUNCT
ejpam-4689	265	25	bp	bp	PROPN
ejpam-4689	265	26	]	]	PUNCT
ejpam-4689	265	27	,	,	PUNCT
ejpam-4689	265	28	then	then	ADV
ejpam-4689	265	29	the	the	DET
ejpam-4689	265	30	inequality	inequality	NOUN
ejpam-4689	265	31	holds	hold	VERB
ejpam-4689	265	32	in	in	ADP
ejpam-4689	265	33	the	the	DET
ejpam-4689	265	34	following	follow	VERB
ejpam-4689	265	35	case	case	NOUN
ejpam-4689	265	36	a	a	DET
ejpam-4689	265	37	⩾	⩾	NOUN
ejpam-4689	265	38	0	0	NUM
ejpam-4689	265	39	,	,	PUNCT
ejpam-4689	265	40	b	b	X
ejpam-4689	265	41	>	>	X
ejpam-4689	265	42	a	a	PROPN
ejpam-4689	265	43	,	,	PUNCT
ejpam-4689	265	44	ab	ab	PROPN
ejpam-4689	265	45	<	<	X
ejpam-4689	265	46	m	m	PROPN
ejpam-4689	265	47	⩽	⩽	ADJ
ejpam-4689	265	48	1	1	NUM
ejpam-4689	265	49	f	f	X
ejpam-4689	265	50	(	(	PUNCT
ejpam-4689	265	51	[	[	PUNCT
ejpam-4689	265	52	ap	ap	PROPN
ejpam-4689	265	53	+	+	NOUN
ejpam-4689	265	54	mpbp	mpbp	NOUN
ejpam-4689	265	55	2	2	NUM
ejpam-4689	265	56	]	]	SYM
ejpam-4689	265	57	1	1	NUM
ejpam-4689	265	58	p	p	NOUN
ejpam-4689	265	59	)	)	PUNCT
ejpam-4689	265	60	⩽	⩽	ADJ
ejpam-4689	265	61	h	h	NOUN
ejpam-4689	265	62	(	(	PUNCT
ejpam-4689	265	63	1	1	NUM
ejpam-4689	265	64	2α	2α	NOUN
ejpam-4689	265	65	)	)	PUNCT
ejpam-4689	266	1	m	m	VERB
ejpam-4689	266	2	pθ	pθ	VERB
ejpam-4689	266	3	k	k	X
ejpam-4689	266	4	θγk(θ)2	θγk(θ)2	NUM
ejpam-4689	266	5	θ	θ	PROPN
ejpam-4689	266	6	k	k	NOUN
ejpam-4689	267	1	p−	p−	NOUN
ejpam-4689	267	2	θ	θ	PROPN
ejpam-4689	267	3	k	k	X
ejpam-4689	267	4	(	(	PUNCT
ejpam-4689	267	5	mpbp	mpbp	PROPN
ejpam-4689	267	6	−	−	PROPN
ejpam-4689	267	7	ap	ap	PROPN
ejpam-4689	267	8	)	)	PUNCT
ejpam-4689	267	9	θ	θ	PROPN
ejpam-4689	268	1	k	k	PROPN
ejpam-4689	268	2	p−1	p−1	PROPN
ejpam-4689	268	3	k	k	PROPN
ejpam-4689	268	4	jθ	jθ	PROPN
ejpam-4689	268	5	(	(	PUNCT
ejpam-4689	268	6	(	(	PUNCT
ejpam-4689	268	7	ap	ap	PROPN
ejpam-4689	268	8	2mp+	2mp+	PROPN
ejpam-4689	268	9	bp	bp	PROPN
ejpam-4689	268	10	2	2	NUM
ejpam-4689	268	11	)	)	PUNCT
ejpam-4689	268	12	1	1	NUM
ejpam-4689	268	13	p	p	NOUN
ejpam-4689	268	14	)	)	PUNCT
ejpam-4689	268	15	−f	−f	NOUN
ejpam-4689	268	16	(	(	PUNCT
ejpam-4689	268	17	a	a	DET
ejpam-4689	268	18	m	m	NOUN
ejpam-4689	268	19	)	)	PUNCT
ejpam-4689	269	1	+	+	NOUN
ejpam-4689	269	2	h	h	NOUN
ejpam-4689	269	3	(	(	PUNCT
ejpam-4689	269	4	2α	2α	NOUN
ejpam-4689	269	5	−	−	PROPN
ejpam-4689	269	6	1	1	NUM
ejpam-4689	269	7	2α	2α	NOUN
ejpam-4689	269	8	)	)	PUNCT
ejpam-4689	269	9	2	2	NUM
ejpam-4689	269	10	θ	θ	SYM
ejpam-4689	269	11	k	k	X
ejpam-4689	269	12	θγk(θ	θγk(θ	X
ejpam-4689	269	13	)	)	PUNCT
ejpam-4689	270	1	p−	p−	NOUN
ejpam-4689	271	1	θ	θ	X
ejpam-4689	271	2	k	k	X
ejpam-4689	271	3	(	(	PUNCT
ejpam-4689	271	4	mpbp	mpbp	PROPN
ejpam-4689	271	5	−	−	PROPN
ejpam-4689	271	6	ap	ap	PROPN
ejpam-4689	271	7	)	)	PUNCT
ejpam-4689	271	8	θ	θ	PROPN
ejpam-4689	272	1	k	k	PROPN
ejpam-4689	272	2	p−1	p−1	PROPN
ejpam-4689	272	3	k	k	PROPN
ejpam-4689	272	4	jθ	jθ	PROPN
ejpam-4689	272	5	(	(	PUNCT
ejpam-4689	272	6	(	(	PUNCT
ejpam-4689	272	7	ap	ap	PROPN
ejpam-4689	272	8	2	2	NUM
ejpam-4689	272	9	+	+	NUM
ejpam-4689	272	10	bpmp	bpmp	NOUN
ejpam-4689	272	11	2	2	NUM
ejpam-4689	272	12	)	)	PUNCT
ejpam-4689	272	13	1	1	NUM
ejpam-4689	272	14	p	p	NOUN
ejpam-4689	272	15	)	)	PUNCT
ejpam-4689	272	16	+	+	NOUN
ejpam-4689	272	17	f(mb	f(mb	NOUN
ejpam-4689	272	18	)	)	PUNCT
ejpam-4689	272	19	⩽	⩽	NOUN
ejpam-4689	272	20	θp	θp	ADP
ejpam-4689	272	21	k	k	PROPN
ejpam-4689	272	22	(	(	PUNCT
ejpam-4689	272	23	h	h	NOUN
ejpam-4689	272	24	(	(	PUNCT
ejpam-4689	272	25	1	1	NUM
ejpam-4689	272	26	2α	2α	NOUN
ejpam-4689	272	27	)	)	PUNCT
ejpam-4689	272	28	f(a	f(a	NOUN
ejpam-4689	272	29	)	)	PUNCT
ejpam-4689	273	1	+	+	NOUN
ejpam-4689	273	2	mph	mph	NOUN
ejpam-4689	273	3	(	(	PUNCT
ejpam-4689	273	4	2α	2α	NOUN
ejpam-4689	273	5	−	−	PROPN
ejpam-4689	273	6	1	1	NUM
ejpam-4689	273	7	2α	2α	NOUN
ejpam-4689	273	8	)	)	PUNCT
ejpam-4689	273	9	f(b	f(b	PROPN
ejpam-4689	273	10	)	)	PUNCT
ejpam-4689	273	11	)	)	PUNCT
ejpam-4689	274	1	∫	∫	PROPN
ejpam-4689	274	2	1	1	NUM
ejpam-4689	274	3	0	0	NUM
ejpam-4689	274	4	h	h	NOUN
ejpam-4689	274	5	(	(	PUNCT
ejpam-4689	274	6	(	(	PUNCT
ejpam-4689	274	7	tp	tp	ADP
ejpam-4689	274	8	2	2	NUM
ejpam-4689	274	9	)	)	PUNCT
ejpam-4689	274	10	l	l	NOUN
ejpam-4689	274	11	)	)	PUNCT
ejpam-4689	275	1	t	t	NOUN
ejpam-4689	275	2	θp	θp	ADP
ejpam-4689	275	3	k	k	PROPN
ejpam-4689	275	4	−1dt	−1dt	PROPN
ejpam-4689	276	1	+	+	CCONJ
ejpam-4689	276	2	θp	θp	ADP
ejpam-4689	276	3	k	k	PROPN
ejpam-4689	276	4	(	(	PUNCT
ejpam-4689	276	5	h	h	NOUN
ejpam-4689	276	6	(	(	PUNCT
ejpam-4689	276	7	1	1	NUM
ejpam-4689	276	8	2α	2α	NOUN
ejpam-4689	276	9	)	)	PUNCT
ejpam-4689	276	10	mpf(b	mpf(b	PROPN
ejpam-4689	276	11	)	)	PUNCT
ejpam-4689	277	1	+	+	NUM
ejpam-4689	277	2	h	h	NOUN
ejpam-4689	277	3	(	(	PUNCT
ejpam-4689	277	4	2α	2α	NOUN
ejpam-4689	277	5	−	−	PROPN
ejpam-4689	277	6	1	1	NUM
ejpam-4689	277	7	2α	2α	NOUN
ejpam-4689	277	8	)	)	PUNCT
ejpam-4689	277	9	f(a	f(a	PROPN
ejpam-4689	277	10	)	)	PUNCT
ejpam-4689	277	11	)	)	PUNCT
ejpam-4689	277	12	∫	∫	PROPN
ejpam-4689	278	1	1	1	NUM
ejpam-4689	278	2	0	0	NUM
ejpam-4689	278	3	h	h	NOUN
ejpam-4689	278	4	(	(	PUNCT
ejpam-4689	278	5	1−	1−	NUM
ejpam-4689	278	6	(	(	PUNCT
ejpam-4689	278	7	tp	tp	ADP
ejpam-4689	278	8	2	2	NUM
ejpam-4689	278	9	)	)	PUNCT
ejpam-4689	278	10	l	l	NOUN
ejpam-4689	278	11	)	)	PUNCT
ejpam-4689	279	1	t	t	NOUN
ejpam-4689	279	2	θp	θp	ADP
ejpam-4689	279	3	k	k	PROPN
ejpam-4689	279	4	−1dt	−1dt	PROPN
ejpam-4689	279	5	.	.	PUNCT
ejpam-4689	280	1	proof	proof	NOUN
ejpam-4689	280	2	.	.	PUNCT
ejpam-4689	281	1	using	use	VERB
ejpam-4689	281	2	the	the	DET
ejpam-4689	281	3	definition	definition	NOUN
ejpam-4689	281	4	of	of	ADP
ejpam-4689	281	5	a	a	DET
ejpam-4689	281	6	(	(	PUNCT
ejpam-4689	281	7	α	α	NOUN
ejpam-4689	281	8	,	,	PUNCT
ejpam-4689	281	9	h	h	NOUN
ejpam-4689	281	10	,	,	PUNCT
ejpam-4689	281	11	m)-p	m)-p	ADV
ejpam-4689	281	12	convex	convex	VERB
ejpam-4689	281	13	function	function	NOUN
ejpam-4689	281	14	we	we	PRON
ejpam-4689	281	15	have	have	VERB
ejpam-4689	281	16	f	f	X
ejpam-4689	281	17	(	(	PUNCT
ejpam-4689	281	18	(	(	PUNCT
ejpam-4689	281	19	txp	txp	VERB
ejpam-4689	281	20	+	+	SYM
ejpam-4689	281	21	m(1−	m(1−	PROPN
ejpam-4689	281	22	t)yp	t)yp	PROPN
ejpam-4689	281	23	)	)	PUNCT
ejpam-4689	281	24	1	1	NUM
ejpam-4689	281	25	p	p	NOUN
ejpam-4689	281	26	)	)	PUNCT
ejpam-4689	281	27	⩽	⩽	NOUN
ejpam-4689	281	28	h(tα)f(x	h(tα)f(x	NOUN
ejpam-4689	281	29	)	)	PUNCT
ejpam-4689	281	30	+	+	ADJ
ejpam-4689	281	31	mh(1−	mh(1−	ADJ
ejpam-4689	281	32	tα)f(y	tα)f(y	NOUN
ejpam-4689	281	33	)	)	PUNCT
ejpam-4689	281	34	.	.	PUNCT
ejpam-4689	282	1	setting	set	VERB
ejpam-4689	282	2	t	t	NOUN
ejpam-4689	282	3	=	=	SYM
ejpam-4689	282	4	1	1	NUM
ejpam-4689	282	5	2	2	NUM
ejpam-4689	282	6	and	and	CCONJ
ejpam-4689	282	7	xp	xp	NOUN
ejpam-4689	282	8	=	=	SYM
ejpam-4689	282	9	(	(	PUNCT
ejpam-4689	282	10	at)p	at)p	PROPN
ejpam-4689	282	11	2	2	NUM
ejpam-4689	282	12	+	+	SYM
ejpam-4689	282	13	mp(2−tp	mp(2−tp	PROPN
ejpam-4689	282	14	)	)	PUNCT
ejpam-4689	282	15	2	2	NUM
ejpam-4689	282	16	bp	bp	PROPN
ejpam-4689	282	17	,	,	PUNCT
ejpam-4689	282	18	yp	yp	X
ejpam-4689	283	1	=	=	PUNCT
ejpam-4689	284	1	(	(	PUNCT
ejpam-4689	284	2	bt)p	bt)p	PROPN
ejpam-4689	284	3	2	2	NUM
ejpam-4689	284	4	+	+	CCONJ
ejpam-4689	284	5	(	(	PUNCT
ejpam-4689	284	6	2−tp	2−tp	NUM
ejpam-4689	284	7	)	)	PUNCT
ejpam-4689	284	8	2	2	NUM
ejpam-4689	284	9	(	(	PUNCT
ejpam-4689	284	10	a	a	DET
ejpam-4689	284	11	m)p	m)p	X
ejpam-4689	284	12	in	in	ADP
ejpam-4689	284	13	the	the	DET
ejpam-4689	284	14	inequality	inequality	NOUN
ejpam-4689	284	15	,	,	PUNCT
ejpam-4689	284	16	we	we	PRON
ejpam-4689	284	17	get	get	VERB
ejpam-4689	284	18	the	the	DET
ejpam-4689	284	19	following	follow	VERB
ejpam-4689	284	20	f	f	X
ejpam-4689	284	21	(	(	PUNCT
ejpam-4689	284	22	[	[	PUNCT
ejpam-4689	284	23	ap	ap	X
ejpam-4689	284	24	+	+	NUM
ejpam-4689	284	25	bpmp	bpmp	PROPN
ejpam-4689	284	26	2	2	NUM
ejpam-4689	284	27	]	]	SYM
ejpam-4689	284	28	1	1	NUM
ejpam-4689	284	29	p	p	NOUN
ejpam-4689	284	30	)	)	PUNCT
ejpam-4689	284	31	⩽	⩽	ADJ
ejpam-4689	284	32	h	h	NOUN
ejpam-4689	285	1	(	(	PUNCT
ejpam-4689	285	2	1	1	NUM
ejpam-4689	285	3	2α	2α	NOUN
ejpam-4689	285	4	)	)	PUNCT
ejpam-4689	285	5	f	f	PROPN
ejpam-4689	285	6	(	(	PUNCT
ejpam-4689	285	7	(	(	PUNCT
ejpam-4689	285	8	at)p	at)p	PROPN
ejpam-4689	285	9	2	2	NUM
ejpam-4689	285	10	+	+	SYM
ejpam-4689	285	11	mp(2−	mp(2−	NOUN
ejpam-4689	285	12	tp	tp	NOUN
ejpam-4689	285	13	)	)	PUNCT
ejpam-4689	285	14	2	2	NUM
ejpam-4689	285	15	bp	bp	NOUN
ejpam-4689	285	16	]	]	X
ejpam-4689	285	17	1	1	NUM
ejpam-4689	285	18	p	p	NOUN
ejpam-4689	285	19	)	)	PUNCT
ejpam-4689	286	1	+	+	NOUN
ejpam-4689	286	2	mph	mph	NOUN
ejpam-4689	286	3	(	(	PUNCT
ejpam-4689	286	4	2α	2α	NOUN
ejpam-4689	286	5	−	−	PROPN
ejpam-4689	286	6	1	1	NUM
ejpam-4689	286	7	2α	2α	NOUN
ejpam-4689	286	8	)	)	PUNCT
ejpam-4689	286	9	f	f	PROPN
ejpam-4689	286	10	(	(	PUNCT
ejpam-4689	286	11	[	[	PUNCT
ejpam-4689	286	12	(	(	PUNCT
ejpam-4689	286	13	bt)p	bt)p	PROPN
ejpam-4689	286	14	2	2	NUM
ejpam-4689	286	15	+	+	CCONJ
ejpam-4689	286	16	(	(	PUNCT
ejpam-4689	286	17	2−	2−	NUM
ejpam-4689	286	18	tp	tp	NOUN
ejpam-4689	286	19	)	)	PUNCT
ejpam-4689	286	20	2	2	NUM
ejpam-4689	286	21	(	(	PUNCT
ejpam-4689	286	22	a	a	DET
ejpam-4689	286	23	m	m	NOUN
ejpam-4689	286	24	)	)	PUNCT
ejpam-4689	286	25	p	p	X
ejpam-4689	286	26	]	]	X
ejpam-4689	286	27	1	1	NUM
ejpam-4689	286	28	p	p	NOUN
ejpam-4689	286	29	)	)	PUNCT
ejpam-4689	286	30	.	.	PUNCT
ejpam-4689	287	1	multiplying	multiply	VERB
ejpam-4689	287	2	the	the	DET
ejpam-4689	287	3	inequality	inequality	NOUN
ejpam-4689	287	4	with	with	ADP
ejpam-4689	287	5	t	t	PROPN
ejpam-4689	287	6	θp	θp	ADP
ejpam-4689	287	7	k	k	PROPN
ejpam-4689	287	8	−1	−1	NOUN
ejpam-4689	287	9	and	and	CCONJ
ejpam-4689	287	10	integrating	integrate	VERB
ejpam-4689	287	11	with	with	ADP
ejpam-4689	287	12	respect	respect	NOUN
ejpam-4689	287	13	to	to	ADP
ejpam-4689	287	14	t	t	NOUN
ejpam-4689	287	15	from	from	ADP
ejpam-4689	287	16	0	0	NUM
ejpam-4689	287	17	to	to	ADP
ejpam-4689	287	18	1	1	NUM
ejpam-4689	287	19	we	we	PRON
ejpam-4689	287	20	get∫	get∫	VERB
ejpam-4689	287	21	1	1	NUM
ejpam-4689	287	22	0	0	NUM
ejpam-4689	287	23	t	t	NOUN
ejpam-4689	287	24	θp	θp	ADP
ejpam-4689	287	25	k	k	PROPN
ejpam-4689	287	26	−1f	−1f	PROPN
ejpam-4689	287	27	(	(	PUNCT
ejpam-4689	287	28	[	[	PUNCT
ejpam-4689	287	29	ap	ap	X
ejpam-4689	287	30	+	+	CCONJ
ejpam-4689	287	31	bpmp	bpmp	PROPN
ejpam-4689	287	32	2	2	NUM
ejpam-4689	287	33	]	]	SYM
ejpam-4689	287	34	1	1	NUM
ejpam-4689	287	35	p	p	NOUN
ejpam-4689	287	36	)	)	PUNCT
ejpam-4689	287	37	dt	dt	X
ejpam-4689	287	38	⩽	⩽	PROPN
ejpam-4689	287	39	∫	∫	PROPN
ejpam-4689	288	1	1	1	NUM
ejpam-4689	288	2	0	0	NUM
ejpam-4689	288	3	t	t	NOUN
ejpam-4689	288	4	θp	θp	ADP
ejpam-4689	288	5	k	k	PROPN
ejpam-4689	288	6	−1h	−1h	PROPN
ejpam-4689	288	7	(	(	PUNCT
ejpam-4689	288	8	1	1	NUM
ejpam-4689	288	9	2α	2α	NOUN
ejpam-4689	288	10	)	)	PUNCT
ejpam-4689	289	1	f	f	PROPN
ejpam-4689	289	2	(	(	PUNCT
ejpam-4689	289	3	(	(	PUNCT
ejpam-4689	289	4	at)p	at)p	PROPN
ejpam-4689	289	5	2	2	NUM
ejpam-4689	289	6	+	+	SYM
ejpam-4689	289	7	mp(2−	mp(2−	NOUN
ejpam-4689	289	8	tp	tp	NOUN
ejpam-4689	289	9	)	)	PUNCT
ejpam-4689	289	10	2	2	NUM
ejpam-4689	289	11	bp	bp	NOUN
ejpam-4689	289	12	]	]	X
ejpam-4689	289	13	1	1	NUM
ejpam-4689	289	14	p	p	NOUN
ejpam-4689	289	15	)	)	PUNCT
ejpam-4689	289	16	dt	dt	PROPN
ejpam-4689	290	1	+	+	CCONJ
ejpam-4689	290	2	∫	∫	PROPN
ejpam-4689	290	3	1	1	NUM
ejpam-4689	290	4	0	0	NUM
ejpam-4689	290	5	t	t	NOUN
ejpam-4689	290	6	θp	θp	ADP
ejpam-4689	290	7	k	k	PROPN
ejpam-4689	290	8	−1	−1	PROPN
ejpam-4689	290	9	mph	mph	NOUN
ejpam-4689	290	10	(	(	PUNCT
ejpam-4689	290	11	2α	2α	NOUN
ejpam-4689	290	12	−	−	PROPN
ejpam-4689	290	13	1	1	NUM
ejpam-4689	290	14	2α	2α	NOUN
ejpam-4689	290	15	)	)	PUNCT
ejpam-4689	290	16	f	f	PROPN
ejpam-4689	291	1	(	(	PUNCT
ejpam-4689	291	2	[	[	PUNCT
ejpam-4689	291	3	(	(	PUNCT
ejpam-4689	291	4	bt)p	bt)p	PROPN
ejpam-4689	291	5	2	2	NUM
ejpam-4689	291	6	+	+	CCONJ
ejpam-4689	291	7	(	(	PUNCT
ejpam-4689	291	8	2−	2−	NUM
ejpam-4689	291	9	tp	tp	NOUN
ejpam-4689	291	10	)	)	PUNCT
ejpam-4689	291	11	2	2	NUM
ejpam-4689	291	12	(	(	PUNCT
ejpam-4689	291	13	a	a	DET
ejpam-4689	291	14	m	m	NOUN
ejpam-4689	291	15	)	)	PUNCT
ejpam-4689	291	16	p	p	X
ejpam-4689	291	17	]	]	PUNCT
ejpam-4689	291	18	1	1	NUM
ejpam-4689	291	19	p	p	NOUN
ejpam-4689	291	20	)	)	PUNCT
ejpam-4689	291	21	dt	dt	PROPN
ejpam-4689	291	22	.	.	PUNCT
ejpam-4689	292	1	v.	v.	ADP
ejpam-4689	292	2	stojiljković	stojiljković	NOUN
ejpam-4689	292	3	/	/	SYM
ejpam-4689	292	4	eur	eur	PROPN
ejpam-4689	292	5	.	.	PUNCT
ejpam-4689	293	1	j.	j.	PROPN
ejpam-4689	293	2	pure	pure	PROPN
ejpam-4689	293	3	appl	appl	PROPN
ejpam-4689	293	4	.	.	PROPN
ejpam-4689	293	5	math	math	PROPN
ejpam-4689	293	6	,	,	PUNCT
ejpam-4689	293	7	16	16	NUM
ejpam-4689	293	8	(	(	PUNCT
ejpam-4689	293	9	1	1	NUM
ejpam-4689	293	10	)	)	PUNCT
ejpam-4689	293	11	(	(	PUNCT
ejpam-4689	293	12	2023	2023	NUM
ejpam-4689	293	13	)	)	PUNCT
ejpam-4689	293	14	,	,	PUNCT
ejpam-4689	293	15	503	503	NUM
ejpam-4689	293	16	-	-	SYM
ejpam-4689	293	17	522	522	NUM
ejpam-4689	293	18	512	512	NUM
ejpam-4689	293	19	integrating	integrate	VERB
ejpam-4689	293	20	the	the	DET
ejpam-4689	293	21	left	left	ADJ
ejpam-4689	293	22	hand	hand	NOUN
ejpam-4689	293	23	side	side	NOUN
ejpam-4689	293	24	is	be	AUX
ejpam-4689	293	25	easy	easy	ADJ
ejpam-4689	293	26	.	.	PUNCT
ejpam-4689	294	1	let	let	VERB
ejpam-4689	294	2	us	we	PRON
ejpam-4689	294	3	focus	focus	VERB
ejpam-4689	294	4	on	on	ADP
ejpam-4689	294	5	the	the	DET
ejpam-4689	294	6	right	right	ADJ
ejpam-4689	294	7	hand	hand	NOUN
ejpam-4689	294	8	side	side	NOUN
ejpam-4689	294	9	.	.	PUNCT
ejpam-4689	295	1	introducing	introduce	VERB
ejpam-4689	295	2	a	a	DET
ejpam-4689	295	3	substitution	substitution	NOUN
ejpam-4689	295	4	(	(	PUNCT
ejpam-4689	295	5	at)p	at)p	PROPN
ejpam-4689	295	6	2	2	NUM
ejpam-4689	295	7	+	+	SYM
ejpam-4689	295	8	mp(2−tp	mp(2−tp	PROPN
ejpam-4689	295	9	)	)	PUNCT
ejpam-4689	295	10	2	2	NUM
ejpam-4689	295	11	bp	bp	NOUN
ejpam-4689	295	12	=	=	SYM
ejpam-4689	296	1	zp	zp	NOUN
ejpam-4689	296	2	we	we	PRON
ejpam-4689	296	3	get	get	VERB
ejpam-4689	296	4	the	the	DET
ejpam-4689	296	5	following	follow	VERB
ejpam-4689	296	6	equality∫	equality∫	NOUN
ejpam-4689	296	7	1	1	NUM
ejpam-4689	296	8	0	0	NUM
ejpam-4689	296	9	t	t	NOUN
ejpam-4689	296	10	θp	θp	ADP
ejpam-4689	296	11	k	k	PROPN
ejpam-4689	296	12	−1h	−1h	PROPN
ejpam-4689	296	13	(	(	PUNCT
ejpam-4689	296	14	1	1	NUM
ejpam-4689	296	15	2α	2α	NOUN
ejpam-4689	296	16	)	)	PUNCT
ejpam-4689	296	17	f	f	PROPN
ejpam-4689	296	18	(	(	PUNCT
ejpam-4689	296	19	(	(	PUNCT
ejpam-4689	296	20	at)p	at)p	PROPN
ejpam-4689	296	21	2	2	NUM
ejpam-4689	296	22	+	+	SYM
ejpam-4689	296	23	mp(2−	mp(2−	NOUN
ejpam-4689	296	24	tp	tp	NOUN
ejpam-4689	296	25	)	)	PUNCT
ejpam-4689	296	26	2	2	NUM
ejpam-4689	296	27	bp	bp	NOUN
ejpam-4689	296	28	]	]	X
ejpam-4689	296	29	1	1	NUM
ejpam-4689	296	30	p	p	NOUN
ejpam-4689	296	31	)	)	PUNCT
ejpam-4689	296	32	dt	dt	PROPN
ejpam-4689	297	1	=	=	SYM
ejpam-4689	297	2	∫	∫	PROPN
ejpam-4689	297	3	mb	mb	PROPN
ejpam-4689	297	4	(	(	PUNCT
ejpam-4689	297	5	ap	ap	PROPN
ejpam-4689	297	6	2	2	NUM
ejpam-4689	297	7	+	+	NOUN
ejpam-4689	297	8	mpbp	mpbp	NOUN
ejpam-4689	297	9	2	2	NUM
ejpam-4689	297	10	)	)	PUNCT
ejpam-4689	297	11	1	1	NUM
ejpam-4689	297	12	p	p	NOUN
ejpam-4689	297	13	f(z)(mpbp	f(z)(mpbp	NOUN
ejpam-4689	297	14	−	−	PROPN
ejpam-4689	297	15	zp	zp	PROPN
ejpam-4689	297	16	)	)	PUNCT
ejpam-4689	297	17	θ	θ	PROPN
ejpam-4689	298	1	k	k	PROPN
ejpam-4689	298	2	−1zp−1dz	−1zp−1dz	PROPN
ejpam-4689	298	3	·	·	PUNCT
ejpam-4689	298	4	2	2	NUM
ejpam-4689	298	5	θ	θ	X
ejpam-4689	298	6	k	k	X
ejpam-4689	298	7	(	(	PUNCT
ejpam-4689	298	8	mpbp	mpbp	PROPN
ejpam-4689	298	9	−	−	PROPN
ejpam-4689	298	10	ap	ap	PROPN
ejpam-4689	298	11	)	)	PUNCT
ejpam-4689	299	1	θ	θ	PROPN
ejpam-4689	300	1	k	k	PROPN
ejpam-4689	300	2	.	.	PUNCT
ejpam-4689	301	1	where	where	SCONJ
ejpam-4689	301	2	we	we	PRON
ejpam-4689	301	3	used	use	VERB
ejpam-4689	301	4	the	the	DET
ejpam-4689	301	5	condition	condition	NOUN
ejpam-4689	301	6	a	a	DET
ejpam-4689	301	7	⩾	⩾	NOUN
ejpam-4689	301	8	0	0	NUM
ejpam-4689	301	9	,	,	PUNCT
ejpam-4689	301	10	b	b	X
ejpam-4689	301	11	>	>	X
ejpam-4689	301	12	a	a	PROPN
ejpam-4689	301	13	,	,	PUNCT
ejpam-4689	301	14	ab	ab	PROPN
ejpam-4689	301	15	<	<	X
ejpam-4689	301	16	m	m	PROPN
ejpam-4689	301	17	⩽	⩽	ADJ
ejpam-4689	301	18	1	1	NUM
ejpam-4689	301	19	to	to	PART
ejpam-4689	301	20	swap	swap	VERB
ejpam-4689	301	21	the	the	DET
ejpam-4689	301	22	upper	upper	ADJ
ejpam-4689	301	23	and	and	CCONJ
ejpam-4689	301	24	lower	low	ADJ
ejpam-4689	301	25	boundary	boundary	NOUN
ejpam-4689	301	26	.	.	PUNCT
ejpam-4689	302	1	which	which	PRON
ejpam-4689	302	2	clearly	clearly	ADV
ejpam-4689	302	3	can	can	AUX
ejpam-4689	302	4	be	be	AUX
ejpam-4689	302	5	seen	see	VERB
ejpam-4689	302	6	to	to	PART
ejpam-4689	302	7	be	be	AUX
ejpam-4689	302	8	of	of	ADP
ejpam-4689	302	9	the	the	DET
ejpam-4689	302	10	k	k	PROPN
ejpam-4689	302	11	−	−	PROPN
ejpam-4689	302	12	p	p	PROPN
ejpam-4689	302	13	riemann	riemann	PROPN
ejpam-4689	302	14	liouville	liouville	VERB
ejpam-4689	302	15	fractional	fractional	ADJ
ejpam-4689	302	16	integral	integral	ADJ
ejpam-4689	302	17	form	form	NOUN
ejpam-4689	302	18	,	,	PUNCT
ejpam-4689	302	19	therefore	therefore	ADV
ejpam-4689	302	20	we	we	PRON
ejpam-4689	302	21	obtain∫	obtain∫	VERB
ejpam-4689	302	22	mb	mb	ADP
ejpam-4689	302	23	(	(	PUNCT
ejpam-4689	302	24	ap	ap	PROPN
ejpam-4689	302	25	2	2	NUM
ejpam-4689	302	26	+	+	NOUN
ejpam-4689	302	27	mpbp	mpbp	NOUN
ejpam-4689	302	28	2	2	NUM
ejpam-4689	302	29	)	)	PUNCT
ejpam-4689	302	30	1	1	NUM
ejpam-4689	302	31	p	p	NOUN
ejpam-4689	302	32	f(z)(mpbp	f(z)(mpbp	NOUN
ejpam-4689	302	33	−	−	PROPN
ejpam-4689	302	34	zp	zp	PROPN
ejpam-4689	302	35	)	)	PUNCT
ejpam-4689	302	36	θ	θ	PROPN
ejpam-4689	303	1	k	k	PROPN
ejpam-4689	303	2	−1zp−1dz	−1zp−1dz	PROPN
ejpam-4689	303	3	·	·	PUNCT
ejpam-4689	303	4	2	2	NUM
ejpam-4689	303	5	θ	θ	X
ejpam-4689	303	6	k	k	X
ejpam-4689	303	7	(	(	PUNCT
ejpam-4689	303	8	mpbp	mpbp	PROPN
ejpam-4689	303	9	−	−	PROPN
ejpam-4689	303	10	ap	ap	PROPN
ejpam-4689	303	11	)	)	PUNCT
ejpam-4689	303	12	θ	θ	PROPN
ejpam-4689	304	1	k	k	NOUN
ejpam-4689	304	2	=	=	SYM
ejpam-4689	304	3	2	2	NUM
ejpam-4689	304	4	θ	θ	PROPN
ejpam-4689	304	5	k	k	PROPN
ejpam-4689	304	6	kγk(θ	kγk(θ	PROPN
ejpam-4689	304	7	)	)	PUNCT
ejpam-4689	305	1	p1−	p1−	PROPN
ejpam-4689	305	2	θ	θ	X
ejpam-4689	305	3	k	k	X
ejpam-4689	305	4	(	(	PUNCT
ejpam-4689	305	5	mpbp	mpbp	PROPN
ejpam-4689	305	6	−	−	PROPN
ejpam-4689	305	7	ap	ap	PROPN
ejpam-4689	305	8	)	)	PUNCT
ejpam-4689	305	9	θ	θ	PROPN
ejpam-4689	306	1	k	k	PROPN
ejpam-4689	306	2	p−1	p−1	PROPN
ejpam-4689	306	3	k	k	PROPN
ejpam-4689	306	4	jθ	jθ	PROPN
ejpam-4689	306	5	(	(	PUNCT
ejpam-4689	306	6	(	(	PUNCT
ejpam-4689	306	7	ap	ap	PROPN
ejpam-4689	306	8	2	2	NUM
ejpam-4689	306	9	+	+	NOUN
ejpam-4689	306	10	mpbp	mpbp	NOUN
ejpam-4689	306	11	2	2	NUM
ejpam-4689	306	12	)	)	PUNCT
ejpam-4689	306	13	1	1	NUM
ejpam-4689	306	14	p	p	NOUN
ejpam-4689	306	15	)	)	PUNCT
ejpam-4689	306	16	+	+	NOUN
ejpam-4689	306	17	f(mb	f(mb	NUM
ejpam-4689	306	18	)	)	PUNCT
ejpam-4689	306	19	.	.	PUNCT
ejpam-4689	307	1	applying	apply	VERB
ejpam-4689	307	2	the	the	DET
ejpam-4689	307	3	similar	similar	ADJ
ejpam-4689	307	4	technique	technique	NOUN
ejpam-4689	307	5	while	while	SCONJ
ejpam-4689	307	6	using	use	VERB
ejpam-4689	307	7	the	the	DET
ejpam-4689	307	8	substitution	substitution	NOUN
ejpam-4689	307	9	in	in	ADP
ejpam-4689	307	10	the	the	DET
ejpam-4689	307	11	second	second	ADJ
ejpam-4689	307	12	integral	integral	ADJ
ejpam-4689	307	13	(	(	PUNCT
ejpam-4689	307	14	bt)p	bt)p	PROPN
ejpam-4689	307	15	2	2	NUM
ejpam-4689	307	16	+	+	CCONJ
ejpam-4689	307	17	(	(	PUNCT
ejpam-4689	307	18	2−tp	2−tp	NUM
ejpam-4689	307	19	)	)	PUNCT
ejpam-4689	307	20	2	2	NUM
ejpam-4689	307	21	(	(	PUNCT
ejpam-4689	307	22	a	a	DET
ejpam-4689	307	23	m)p	m)p	X
ejpam-4689	307	24	=	=	PUNCT
ejpam-4689	307	25	yp	yp	NOUN
ejpam-4689	307	26	we	we	PRON
ejpam-4689	307	27	obtain	obtain	VERB
ejpam-4689	307	28	the	the	DET
ejpam-4689	307	29	following	follow	VERB
ejpam-4689	307	30	equality∫	equality∫	NOUN
ejpam-4689	307	31	1	1	NUM
ejpam-4689	307	32	0	0	NUM
ejpam-4689	307	33	t	t	NOUN
ejpam-4689	307	34	θp	θp	ADP
ejpam-4689	307	35	k	k	PROPN
ejpam-4689	307	36	−1	−1	PROPN
ejpam-4689	307	37	mph	mph	NOUN
ejpam-4689	307	38	(	(	PUNCT
ejpam-4689	307	39	2α	2α	NOUN
ejpam-4689	307	40	−	−	PROPN
ejpam-4689	307	41	1	1	NUM
ejpam-4689	307	42	2α	2α	NOUN
ejpam-4689	308	1	)	)	PUNCT
ejpam-4689	308	2	f	f	PROPN
ejpam-4689	308	3	(	(	PUNCT
ejpam-4689	308	4	[	[	PUNCT
ejpam-4689	308	5	(	(	PUNCT
ejpam-4689	308	6	bt)p	bt)p	PROPN
ejpam-4689	308	7	2	2	NUM
ejpam-4689	308	8	+	+	CCONJ
ejpam-4689	308	9	(	(	PUNCT
ejpam-4689	308	10	2−	2−	NUM
ejpam-4689	308	11	tp	tp	NOUN
ejpam-4689	308	12	)	)	PUNCT
ejpam-4689	308	13	2	2	NUM
ejpam-4689	308	14	(	(	PUNCT
ejpam-4689	308	15	a	a	DET
ejpam-4689	308	16	m	m	NOUN
ejpam-4689	308	17	)	)	PUNCT
ejpam-4689	308	18	p	p	X
ejpam-4689	308	19	]	]	X
ejpam-4689	308	20	1	1	NUM
ejpam-4689	308	21	pdt	pdt	NOUN
ejpam-4689	308	22	)	)	PUNCT
ejpam-4689	309	1	=	=	SYM
ejpam-4689	310	1	∫	∫	PROPN
ejpam-4689	311	1	(	(	PUNCT
ejpam-4689	311	2	bp	bp	PROPN
ejpam-4689	311	3	2	2	NUM
ejpam-4689	311	4	+	+	CCONJ
ejpam-4689	311	5	ap	ap	PROPN
ejpam-4689	311	6	2mp	2mp	ADJ
ejpam-4689	311	7	)	)	PUNCT
ejpam-4689	312	1	1	1	NUM
ejpam-4689	312	2	p	p	NOUN
ejpam-4689	312	3	a	a	DET
ejpam-4689	312	4	m	m	NOUN
ejpam-4689	312	5	f(y	f(y	NOUN
ejpam-4689	312	6	)	)	PUNCT
ejpam-4689	313	1	(	(	PUNCT
ejpam-4689	313	2	yp	yp	NUM
ejpam-4689	313	3	−	−	PROPN
ejpam-4689	313	4	ap	ap	PROPN
ejpam-4689	313	5	mp	mp	PROPN
ejpam-4689	313	6	)	)	PUNCT
ejpam-4689	314	1	θ	θ	PROPN
ejpam-4689	315	1	k	k	PROPN
ejpam-4689	315	2	−1	−1	NOUN
ejpam-4689	315	3	yp−1dy	yp−1dy	PROPN
ejpam-4689	315	4	·	·	PUNCT
ejpam-4689	315	5	1	1	NUM
ejpam-4689	315	6	(	(	PUNCT
ejpam-4689	315	7	b	b	NOUN
ejpam-4689	315	8	p	p	NOUN
ejpam-4689	315	9	2	2	NUM
ejpam-4689	315	10	−	−	PROPN
ejpam-4689	315	11	ap	ap	PROPN
ejpam-4689	315	12	2mp	2mp	PROPN
ejpam-4689	315	13	)	)	PUNCT
ejpam-4689	316	1	θ	θ	PROPN
ejpam-4689	317	1	k	k	PROPN
ejpam-4689	317	2	.	.	PUNCT
ejpam-4689	318	1	which	which	PRON
ejpam-4689	318	2	can	can	AUX
ejpam-4689	318	3	be	be	AUX
ejpam-4689	318	4	seen	see	VERB
ejpam-4689	318	5	to	to	PART
ejpam-4689	318	6	be	be	AUX
ejpam-4689	318	7	of	of	ADP
ejpam-4689	318	8	the	the	DET
ejpam-4689	318	9	form	form	NOUN
ejpam-4689	318	10	of	of	ADP
ejpam-4689	318	11	the	the	DET
ejpam-4689	318	12	k	k	PROPN
ejpam-4689	318	13	−	−	PROPN
ejpam-4689	318	14	p	p	PROPN
ejpam-4689	318	15	riemann	riemann	PROPN
ejpam-4689	318	16	liouville	liouville	PROPN
ejpam-4689	318	17	fractional	fractional	PROPN
ejpam-4689	318	18	integral	integral	ADJ
ejpam-4689	318	19	,	,	PUNCT
ejpam-4689	318	20	therefore	therefore	ADV
ejpam-4689	318	21	we	we	PRON
ejpam-4689	318	22	obtain	obtain	VERB
ejpam-4689	318	23	∫	∫	PROPN
ejpam-4689	318	24	(	(	PUNCT
ejpam-4689	318	25	bp	bp	PROPN
ejpam-4689	318	26	2	2	NUM
ejpam-4689	318	27	+	+	CCONJ
ejpam-4689	318	28	ap	ap	PROPN
ejpam-4689	318	29	2mp	2mp	ADJ
ejpam-4689	318	30	)	)	PUNCT
ejpam-4689	318	31	1	1	NUM
ejpam-4689	318	32	p	p	NOUN
ejpam-4689	318	33	a	a	DET
ejpam-4689	318	34	m	m	NOUN
ejpam-4689	318	35	f(y	f(y	NOUN
ejpam-4689	318	36	)	)	PUNCT
ejpam-4689	318	37	(	(	PUNCT
ejpam-4689	318	38	yp	yp	NUM
ejpam-4689	318	39	−	−	PROPN
ejpam-4689	318	40	ap	ap	PROPN
ejpam-4689	318	41	mp	mp	PROPN
ejpam-4689	318	42	)	)	PUNCT
ejpam-4689	319	1	θ	θ	PROPN
ejpam-4689	320	1	k	k	PROPN
ejpam-4689	320	2	−1	−1	NOUN
ejpam-4689	320	3	yp−1dy	yp−1dy	PROPN
ejpam-4689	320	4	·	·	PUNCT
ejpam-4689	320	5	1	1	NUM
ejpam-4689	320	6	(	(	PUNCT
ejpam-4689	320	7	b	b	NOUN
ejpam-4689	320	8	p	p	NOUN
ejpam-4689	320	9	2	2	NUM
ejpam-4689	320	10	−	−	PROPN
ejpam-4689	320	11	ap	ap	PROPN
ejpam-4689	320	12	2mp	2mp	PROPN
ejpam-4689	320	13	)	)	PUNCT
ejpam-4689	321	1	θ	θ	X
ejpam-4689	322	1	k	k	X
ejpam-4689	323	1	=	=	PUNCT
ejpam-4689	323	2	m	m	VERB
ejpam-4689	323	3	pθ	pθ	VERB
ejpam-4689	323	4	k	k	PROPN
ejpam-4689	323	5	kγk(θ)2	kγk(θ)2	PROPN
ejpam-4689	323	6	θ	θ	PROPN
ejpam-4689	323	7	k	k	PROPN
ejpam-4689	324	1	p1−	p1−	PROPN
ejpam-4689	324	2	θ	θ	X
ejpam-4689	324	3	k	k	X
ejpam-4689	324	4	(	(	PUNCT
ejpam-4689	324	5	mpbp	mpbp	PROPN
ejpam-4689	324	6	−	−	PROPN
ejpam-4689	324	7	ap	ap	PROPN
ejpam-4689	324	8	)	)	PUNCT
ejpam-4689	324	9	θ	θ	PROPN
ejpam-4689	325	1	k	k	PROPN
ejpam-4689	325	2	p−1	p−1	PROPN
ejpam-4689	325	3	k	k	PROPN
ejpam-4689	325	4	jθ	jθ	PROPN
ejpam-4689	325	5	(	(	PUNCT
ejpam-4689	325	6	(	(	PUNCT
ejpam-4689	325	7	ap	ap	PROPN
ejpam-4689	325	8	2mp+	2mp+	PROPN
ejpam-4689	325	9	bp	bp	PROPN
ejpam-4689	325	10	2	2	NUM
ejpam-4689	325	11	)	)	PUNCT
ejpam-4689	325	12	1	1	NUM
ejpam-4689	325	13	p	p	NOUN
ejpam-4689	325	14	)	)	PUNCT
ejpam-4689	325	15	−f	−f	NOUN
ejpam-4689	325	16	(	(	PUNCT
ejpam-4689	325	17	a	a	DET
ejpam-4689	325	18	m	m	NOUN
ejpam-4689	325	19	)	)	PUNCT
ejpam-4689	325	20	.	.	PUNCT
ejpam-4689	326	1	now	now	ADV
ejpam-4689	326	2	we	we	PRON
ejpam-4689	326	3	focus	focus	VERB
ejpam-4689	326	4	on	on	ADP
ejpam-4689	326	5	obtaining	obtain	VERB
ejpam-4689	326	6	the	the	DET
ejpam-4689	326	7	right	right	ADJ
ejpam-4689	326	8	hand	hand	NOUN
ejpam-4689	326	9	side	side	NOUN
ejpam-4689	326	10	inequality	inequality	NOUN
ejpam-4689	326	11	.	.	PUNCT
ejpam-4689	327	1	using	use	VERB
ejpam-4689	327	2	the	the	DET
ejpam-4689	327	3	definition	definition	NOUN
ejpam-4689	327	4	of	of	ADP
ejpam-4689	327	5	the	the	DET
ejpam-4689	327	6	(	(	PUNCT
ejpam-4689	327	7	α	α	NOUN
ejpam-4689	327	8	,	,	PUNCT
ejpam-4689	327	9	h−m)−	h−m)−	PROPN
ejpam-4689	327	10	p	p	PROPN
ejpam-4689	327	11	convex	convex	NOUN
ejpam-4689	327	12	function	function	NOUN
ejpam-4689	327	13	on	on	ADP
ejpam-4689	327	14	the	the	DET
ejpam-4689	327	15	following	follow	VERB
ejpam-4689	327	16	expression	expression	NOUN
ejpam-4689	327	17	,	,	PUNCT
ejpam-4689	327	18	we	we	PRON
ejpam-4689	327	19	obtain	obtain	VERB
ejpam-4689	327	20	h	h	NOUN
ejpam-4689	327	21	(	(	PUNCT
ejpam-4689	327	22	1	1	NUM
ejpam-4689	327	23	2α	2α	NOUN
ejpam-4689	327	24	)	)	PUNCT
ejpam-4689	327	25	f	f	PROPN
ejpam-4689	327	26	(	(	PUNCT
ejpam-4689	327	27	(	(	PUNCT
ejpam-4689	327	28	at)p	at)p	PROPN
ejpam-4689	327	29	2	2	NUM
ejpam-4689	327	30	+	+	SYM
ejpam-4689	327	31	mp(2−	mp(2−	NOUN
ejpam-4689	327	32	tp	tp	NOUN
ejpam-4689	327	33	)	)	PUNCT
ejpam-4689	327	34	2	2	NUM
ejpam-4689	327	35	bp	bp	NOUN
ejpam-4689	327	36	]	]	X
ejpam-4689	327	37	1	1	NUM
ejpam-4689	327	38	p	p	NOUN
ejpam-4689	327	39	)	)	PUNCT
ejpam-4689	327	40	v.	v.	ADP
ejpam-4689	327	41	stojiljković	stojiljković	ADJ
ejpam-4689	327	42	/	/	SYM
ejpam-4689	327	43	eur	eur	PROPN
ejpam-4689	327	44	.	.	PUNCT
ejpam-4689	328	1	j.	j.	PROPN
ejpam-4689	328	2	pure	pure	PROPN
ejpam-4689	328	3	appl	appl	PROPN
ejpam-4689	328	4	.	.	PROPN
ejpam-4689	328	5	math	math	PROPN
ejpam-4689	328	6	,	,	PUNCT
ejpam-4689	328	7	16	16	NUM
ejpam-4689	328	8	(	(	PUNCT
ejpam-4689	328	9	1	1	NUM
ejpam-4689	328	10	)	)	PUNCT
ejpam-4689	328	11	(	(	PUNCT
ejpam-4689	328	12	2023	2023	NUM
ejpam-4689	328	13	)	)	PUNCT
ejpam-4689	328	14	,	,	PUNCT
ejpam-4689	328	15	503	503	NUM
ejpam-4689	328	16	-	-	SYM
ejpam-4689	328	17	522	522	NUM
ejpam-4689	328	18	513	513	NUM
ejpam-4689	328	19	+	+	NOUN
ejpam-4689	328	20	mph	mph	NOUN
ejpam-4689	328	21	(	(	PUNCT
ejpam-4689	328	22	2α	2α	NOUN
ejpam-4689	328	23	−	−	PROPN
ejpam-4689	328	24	1	1	NUM
ejpam-4689	328	25	2α	2α	NOUN
ejpam-4689	328	26	)	)	PUNCT
ejpam-4689	328	27	f	f	PROPN
ejpam-4689	329	1	(	(	PUNCT
ejpam-4689	329	2	[	[	PUNCT
ejpam-4689	329	3	(	(	PUNCT
ejpam-4689	329	4	bt)p	bt)p	PROPN
ejpam-4689	329	5	2	2	NUM
ejpam-4689	329	6	+	+	CCONJ
ejpam-4689	329	7	(	(	PUNCT
ejpam-4689	329	8	2−	2−	NUM
ejpam-4689	329	9	tp	tp	NOUN
ejpam-4689	329	10	)	)	PUNCT
ejpam-4689	329	11	2	2	NUM
ejpam-4689	329	12	(	(	PUNCT
ejpam-4689	329	13	a	a	DET
ejpam-4689	329	14	m	m	NOUN
ejpam-4689	329	15	)	)	PUNCT
ejpam-4689	329	16	p	p	X
ejpam-4689	329	17	]	]	X
ejpam-4689	329	18	1	1	NUM
ejpam-4689	329	19	p	p	NOUN
ejpam-4689	329	20	)	)	PUNCT
ejpam-4689	329	21	⩽	⩽	NOUN
ejpam-4689	329	22	(	(	PUNCT
ejpam-4689	329	23	h	h	NOUN
ejpam-4689	329	24	(	(	PUNCT
ejpam-4689	329	25	1	1	NUM
ejpam-4689	329	26	2α	2α	NOUN
ejpam-4689	329	27	)	)	PUNCT
ejpam-4689	329	28	f(a	f(a	NOUN
ejpam-4689	329	29	)	)	PUNCT
ejpam-4689	330	1	+	+	NOUN
ejpam-4689	330	2	mph	mph	NOUN
ejpam-4689	330	3	(	(	PUNCT
ejpam-4689	330	4	1−	1−	NUM
ejpam-4689	330	5	1	1	NUM
ejpam-4689	330	6	2α	2α	NOUN
ejpam-4689	330	7	)	)	PUNCT
ejpam-4689	330	8	f(b	f(b	PROPN
ejpam-4689	330	9	)	)	PUNCT
ejpam-4689	330	10	)	)	PUNCT
ejpam-4689	331	1	h	h	NOUN
ejpam-4689	331	2	(	(	PUNCT
ejpam-4689	331	3	(	(	PUNCT
ejpam-4689	331	4	tp	tp	ADP
ejpam-4689	331	5	2	2	NUM
ejpam-4689	331	6	)	)	PUNCT
ejpam-4689	331	7	l	l	NOUN
ejpam-4689	331	8	)	)	PUNCT
ejpam-4689	332	1	+	+	CCONJ
ejpam-4689	332	2	(	(	PUNCT
ejpam-4689	332	3	h	h	NOUN
ejpam-4689	332	4	(	(	PUNCT
ejpam-4689	332	5	1	1	NUM
ejpam-4689	332	6	2α	2α	NOUN
ejpam-4689	332	7	)	)	PUNCT
ejpam-4689	332	8	mpf(b	mpf(b	PROPN
ejpam-4689	332	9	)	)	PUNCT
ejpam-4689	333	1	+	+	NUM
ejpam-4689	333	2	h	h	NOUN
ejpam-4689	333	3	(	(	PUNCT
ejpam-4689	333	4	1−	1−	NUM
ejpam-4689	333	5	1	1	NUM
ejpam-4689	333	6	2α	2α	NOUN
ejpam-4689	333	7	)	)	PUNCT
ejpam-4689	333	8	f(a	f(a	PROPN
ejpam-4689	333	9	)	)	PUNCT
ejpam-4689	333	10	)	)	PUNCT
ejpam-4689	334	1	h	h	NOUN
ejpam-4689	334	2	(	(	PUNCT
ejpam-4689	334	3	1−	1−	NUM
ejpam-4689	334	4	(	(	PUNCT
ejpam-4689	334	5	tp	tp	ADP
ejpam-4689	334	6	2	2	NUM
ejpam-4689	334	7	)	)	PUNCT
ejpam-4689	334	8	l	l	NOUN
ejpam-4689	334	9	)	)	PUNCT
ejpam-4689	334	10	.	.	PUNCT
ejpam-4689	335	1	multiplying	multiply	VERB
ejpam-4689	335	2	the	the	DET
ejpam-4689	335	3	inequality	inequality	NOUN
ejpam-4689	335	4	with	with	ADP
ejpam-4689	335	5	t	t	PROPN
ejpam-4689	335	6	θp	θp	ADP
ejpam-4689	335	7	k	k	PROPN
ejpam-4689	335	8	−1	−1	NOUN
ejpam-4689	335	9	and	and	CCONJ
ejpam-4689	335	10	integrating	integrate	VERB
ejpam-4689	335	11	with	with	ADP
ejpam-4689	335	12	respect	respect	NOUN
ejpam-4689	335	13	to	to	ADP
ejpam-4689	335	14	t	t	NOUN
ejpam-4689	335	15	from	from	ADP
ejpam-4689	335	16	0	0	NUM
ejpam-4689	335	17	to	to	ADP
ejpam-4689	335	18	1	1	NUM
ejpam-4689	335	19	we	we	PRON
ejpam-4689	335	20	obtain	obtain	VERB
ejpam-4689	335	21	kγk(θ)2	kγk(θ)2	NOUN
ejpam-4689	335	22	θ	θ	PROPN
ejpam-4689	335	23	k	k	PROPN
ejpam-4689	336	1	p1−	p1−	PROPN
ejpam-4689	336	2	θ	θ	X
ejpam-4689	336	3	k	k	X
ejpam-4689	336	4	(	(	PUNCT
ejpam-4689	336	5	mpbp	mpbp	PROPN
ejpam-4689	336	6	−	−	PROPN
ejpam-4689	336	7	ap	ap	PROPN
ejpam-4689	336	8	)	)	PUNCT
ejpam-4689	336	9	θ	θ	PROPN
ejpam-4689	337	1	k	k	NOUN
ejpam-4689	338	1	m	m	ADV
ejpam-4689	338	2	pθ	pθ	PROPN
ejpam-4689	339	1	k	k	PROPN
ejpam-4689	339	2	p−1	p−1	PROPN
ejpam-4689	339	3	k	k	PROPN
ejpam-4689	339	4	jθ	jθ	PROPN
ejpam-4689	339	5	(	(	PUNCT
ejpam-4689	339	6	(	(	PUNCT
ejpam-4689	339	7	ap	ap	PROPN
ejpam-4689	339	8	2mp+	2mp+	PROPN
ejpam-4689	339	9	bp	bp	PROPN
ejpam-4689	339	10	2	2	NUM
ejpam-4689	339	11	)	)	PUNCT
ejpam-4689	339	12	1	1	NUM
ejpam-4689	339	13	p	p	NOUN
ejpam-4689	339	14	)	)	PUNCT
ejpam-4689	339	15	−f	−f	NOUN
ejpam-4689	339	16	(	(	PUNCT
ejpam-4689	339	17	a	a	DET
ejpam-4689	339	18	m	m	NOUN
ejpam-4689	339	19	)	)	PUNCT
ejpam-4689	340	1	+	+	CCONJ
ejpam-4689	340	2	p−1	p−1	PROPN
ejpam-4689	340	3	k	k	PROPN
ejpam-4689	340	4	jθ	jθ	PROPN
ejpam-4689	340	5	(	(	PUNCT
ejpam-4689	340	6	(	(	PUNCT
ejpam-4689	340	7	ap	ap	PROPN
ejpam-4689	340	8	2	2	NUM
ejpam-4689	340	9	+	+	NOUN
ejpam-4689	340	10	mpbp	mpbp	NOUN
ejpam-4689	340	11	2	2	NUM
ejpam-4689	340	12	)	)	PUNCT
ejpam-4689	340	13	1	1	NUM
ejpam-4689	340	14	p	p	NOUN
ejpam-4689	340	15	)	)	PUNCT
ejpam-4689	340	16	+	+	NOUN
ejpam-4689	340	17	f(mb	f(mb	NOUN
ejpam-4689	340	18	)	)	PUNCT
ejpam-4689	340	19			PROPN
ejpam-4689	340	20	⩽	⩽	ADJ
ejpam-4689	340	21	(	(	PUNCT
ejpam-4689	340	22	h	h	NOUN
ejpam-4689	340	23	(	(	PUNCT
ejpam-4689	340	24	1	1	NUM
ejpam-4689	340	25	2α	2α	NOUN
ejpam-4689	340	26	)	)	PUNCT
ejpam-4689	340	27	f(a	f(a	NOUN
ejpam-4689	340	28	)	)	PUNCT
ejpam-4689	341	1	+	+	NOUN
ejpam-4689	341	2	mph	mph	NOUN
ejpam-4689	341	3	(	(	PUNCT
ejpam-4689	341	4	1−	1−	NUM
ejpam-4689	341	5	1	1	NUM
ejpam-4689	341	6	2α	2α	NOUN
ejpam-4689	341	7	)	)	PUNCT
ejpam-4689	341	8	f(b	f(b	PROPN
ejpam-4689	341	9	)	)	PUNCT
ejpam-4689	341	10	)	)	PUNCT
ejpam-4689	342	1	∫	∫	PROPN
ejpam-4689	343	1	1	1	NUM
ejpam-4689	343	2	0	0	NUM
ejpam-4689	343	3	t	t	NOUN
ejpam-4689	343	4	θp	θp	ADP
ejpam-4689	343	5	k	k	PROPN
ejpam-4689	343	6	−1h	−1h	PROPN
ejpam-4689	343	7	(	(	PUNCT
ejpam-4689	343	8	(	(	PUNCT
ejpam-4689	343	9	tp	tp	ADP
ejpam-4689	343	10	2	2	NUM
ejpam-4689	343	11	)	)	PUNCT
ejpam-4689	343	12	l	l	NOUN
ejpam-4689	343	13	)	)	PUNCT
ejpam-4689	343	14	dt	dt	X
ejpam-4689	344	1	+	+	CCONJ
ejpam-4689	344	2	(	(	PUNCT
ejpam-4689	344	3	h	h	NOUN
ejpam-4689	344	4	(	(	PUNCT
ejpam-4689	344	5	1	1	NUM
ejpam-4689	344	6	2α	2α	NOUN
ejpam-4689	344	7	)	)	PUNCT
ejpam-4689	344	8	mpf(b	mpf(b	PROPN
ejpam-4689	344	9	)	)	PUNCT
ejpam-4689	345	1	+	+	NUM
ejpam-4689	345	2	h	h	NOUN
ejpam-4689	345	3	(	(	PUNCT
ejpam-4689	345	4	1−	1−	NUM
ejpam-4689	345	5	1	1	NUM
ejpam-4689	345	6	2α	2α	NOUN
ejpam-4689	345	7	)	)	PUNCT
ejpam-4689	345	8	f(a	f(a	PROPN
ejpam-4689	345	9	)	)	PUNCT
ejpam-4689	345	10	)	)	PUNCT
ejpam-4689	345	11	∫	∫	PROPN
ejpam-4689	346	1	1	1	NUM
ejpam-4689	346	2	0	0	NUM
ejpam-4689	346	3	t	t	NOUN
ejpam-4689	346	4	θp	θp	ADP
ejpam-4689	346	5	k	k	PROPN
ejpam-4689	346	6	−1h	−1h	PROPN
ejpam-4689	346	7	(	(	PUNCT
ejpam-4689	346	8	1−	1−	NUM
ejpam-4689	346	9	(	(	PUNCT
ejpam-4689	346	10	tp	tp	ADP
ejpam-4689	346	11	2	2	NUM
ejpam-4689	346	12	)	)	PUNCT
ejpam-4689	346	13	l	l	NOUN
ejpam-4689	346	14	)	)	PUNCT
ejpam-4689	347	1	dt	dt	X
ejpam-4689	347	2	.	.	PUNCT
ejpam-4689	348	1	connecting	connect	VERB
ejpam-4689	348	2	the	the	DET
ejpam-4689	348	3	left	left	ADJ
ejpam-4689	348	4	and	and	CCONJ
ejpam-4689	348	5	right	right	ADJ
ejpam-4689	348	6	hand	hand	NOUN
ejpam-4689	348	7	side	side	NOUN
ejpam-4689	348	8	inequality	inequality	NOUN
ejpam-4689	348	9	and	and	CCONJ
ejpam-4689	348	10	multiplying	multiply	VERB
ejpam-4689	348	11	everything	everything	PRON
ejpam-4689	348	12	with	with	ADP
ejpam-4689	348	13	the	the	DET
ejpam-4689	348	14	constant	constant	NOUN
ejpam-4689	348	15	from	from	ADP
ejpam-4689	348	16	the	the	DET
ejpam-4689	348	17	left	left	ADJ
ejpam-4689	348	18	hand	hand	NOUN
ejpam-4689	348	19	side	side	NOUN
ejpam-4689	348	20	,	,	PUNCT
ejpam-4689	348	21	we	we	PRON
ejpam-4689	348	22	obtain	obtain	VERB
ejpam-4689	348	23	the	the	DET
ejpam-4689	348	24	desired	desire	VERB
ejpam-4689	348	25	inequality	inequality	NOUN
ejpam-4689	348	26	.	.	PUNCT
ejpam-4689	349	1	corollary	corollary	ADJ
ejpam-4689	349	2	3	3	NUM
ejpam-4689	349	3	.	.	PUNCT
ejpam-4689	350	1	setting	set	VERB
ejpam-4689	350	2	α	α	PRON
ejpam-4689	350	3	,	,	PUNCT
ejpam-4689	350	4	l	l	NOUN
ejpam-4689	350	5	,	,	PUNCT
ejpam-4689	350	6	m	m	VERB
ejpam-4689	350	7	=	=	NOUN
ejpam-4689	350	8	1	1	NUM
ejpam-4689	350	9	in	in	ADP
ejpam-4689	350	10	the	the	DET
ejpam-4689	350	11	previously	previously	ADV
ejpam-4689	350	12	derived	derive	VERB
ejpam-4689	350	13	inequality	inequality	NOUN
ejpam-4689	350	14	,	,	PUNCT
ejpam-4689	350	15	we	we	PRON
ejpam-4689	350	16	obtain	obtain	AUX
ejpam-4689	350	17	theorem	theorem	ADJ
ejpam-4689	350	18	4	4	NUM
ejpam-4689	350	19	from	from	ADP
ejpam-4689	350	20	the	the	DET
ejpam-4689	350	21	paper	paper	NOUN
ejpam-4689	351	1	[	[	X
ejpam-4689	351	2	40	40	NUM
ejpam-4689	351	3	]	]	PUNCT
ejpam-4689	351	4	,	,	PUNCT
ejpam-4689	351	5	namely	namely	ADV
ejpam-4689	351	6	we	we	PRON
ejpam-4689	351	7	obtain	obtain	VERB
ejpam-4689	351	8	f	f	X
ejpam-4689	351	9	(	(	PUNCT
ejpam-4689	351	10	[	[	X
ejpam-4689	351	11	a	a	DET
ejpam-4689	351	12	p+bp	p+bp	NOUN
ejpam-4689	351	13	2	2	NUM
ejpam-4689	351	14	]	]	SYM
ejpam-4689	351	15	1	1	NUM
ejpam-4689	351	16	p	p	NOUN
ejpam-4689	351	17	)	)	PUNCT
ejpam-4689	351	18	h(12	h(12	ADJ
ejpam-4689	351	19	)	)	PUNCT
ejpam-4689	351	20	⩽	⩽	NOUN
ejpam-4689	351	21	2	2	NUM
ejpam-4689	351	22	α	α	NOUN
ejpam-4689	351	23	k	k	NOUN
ejpam-4689	352	1	p	p	X
ejpam-4689	352	2	α	α	PROPN
ejpam-4689	352	3	k	k	PROPN
ejpam-4689	352	4	αγk(α	αγk(α	PROPN
ejpam-4689	352	5	)	)	PUNCT
ejpam-4689	352	6	(	(	PUNCT
ejpam-4689	352	7	bp	bp	PROPN
ejpam-4689	352	8	−	−	PROPN
ejpam-4689	352	9	ap	ap	PROPN
ejpam-4689	352	10	)	)	PUNCT
ejpam-4689	352	11	α	α	PROPN
ejpam-4689	353	1	k	k	PROPN
ejpam-4689	353	2	(	(	PUNCT
ejpam-4689	353	3	p−1	p−1	PROPN
ejpam-4689	353	4	k	k	PROPN
ejpam-4689	353	5	jα	jα	PROPN
ejpam-4689	353	6	(	(	PUNCT
ejpam-4689	353	7	(	(	PUNCT
ejpam-4689	353	8	a	a	DET
ejpam-4689	353	9	p+bp	p+bp	NOUN
ejpam-4689	353	10	2	2	NUM
ejpam-4689	353	11	)	)	PUNCT
ejpam-4689	353	12	1	1	NUM
ejpam-4689	353	13	p	p	NOUN
ejpam-4689	353	14	)	)	PUNCT
ejpam-4689	353	15	+	+	SYM
ejpam-4689	353	16	f(b	f(b	X
ejpam-4689	353	17	)	)	PUNCT
ejpam-4689	354	1	+	+	NUM
ejpam-4689	355	1	p−1	p−1	PROPN
ejpam-4689	355	2	k	k	PROPN
ejpam-4689	355	3	jα	jα	X
ejpam-4689	355	4	(	(	PUNCT
ejpam-4689	355	5	(	(	PUNCT
ejpam-4689	355	6	a	a	DET
ejpam-4689	355	7	p+bp	p+bp	NOUN
ejpam-4689	355	8	2	2	NUM
ejpam-4689	355	9	)	)	PUNCT
ejpam-4689	355	10	1	1	NUM
ejpam-4689	355	11	p	p	NOUN
ejpam-4689	355	12	)	)	PUNCT
ejpam-4689	355	13	−	−	PROPN
ejpam-4689	355	14	f(a	f(a	NOUN
ejpam-4689	355	15	)	)	PUNCT
ejpam-4689	355	16	)	)	PUNCT
ejpam-4689	356	1	⩽	⩽	ADJ
ejpam-4689	356	2	αp	αp	INTJ
ejpam-4689	357	1	k	k	PROPN
ejpam-4689	357	2	(	(	PUNCT
ejpam-4689	357	3	f(a	f(a	NOUN
ejpam-4689	357	4	)	)	PUNCT
ejpam-4689	357	5	+	+	CCONJ
ejpam-4689	357	6	f(b	f(b	PROPN
ejpam-4689	357	7	)	)	PUNCT
ejpam-4689	357	8	)	)	PUNCT
ejpam-4689	358	1	(	(	PUNCT
ejpam-4689	358	2	∫	∫	PROPN
ejpam-4689	358	3	1	1	NUM
ejpam-4689	358	4	0	0	NUM
ejpam-4689	358	5	t	t	NOUN
ejpam-4689	358	6	αp	αp	NOUN
ejpam-4689	358	7	k	k	NOUN
ejpam-4689	358	8	−1	−1	PROPN
ejpam-4689	358	9	(	(	PUNCT
ejpam-4689	358	10	h	h	NOUN
ejpam-4689	358	11	(	(	PUNCT
ejpam-4689	358	12	tp	tp	ADP
ejpam-4689	358	13	2	2	NUM
ejpam-4689	358	14	)	)	PUNCT
ejpam-4689	359	1	+	+	CCONJ
ejpam-4689	359	2	h	h	NOUN
ejpam-4689	359	3	(	(	PUNCT
ejpam-4689	359	4	1−	1−	NUM
ejpam-4689	359	5	tp	tp	ADP
ejpam-4689	359	6	2	2	NUM
ejpam-4689	359	7	)	)	PUNCT
ejpam-4689	359	8	)	)	PUNCT
ejpam-4689	359	9	dt	dt	PUNCT
ejpam-4689	359	10	)	)	PUNCT
ejpam-4689	359	11	.	.	PUNCT
ejpam-4689	360	1	corollary	corollary	ADJ
ejpam-4689	360	2	4	4	NUM
ejpam-4689	360	3	.	.	PUNCT
ejpam-4689	360	4	setting	set	VERB
ejpam-4689	360	5	p	p	NOUN
ejpam-4689	360	6	=	=	NOUN
ejpam-4689	360	7	3	3	NUM
ejpam-4689	360	8	in	in	ADP
ejpam-4689	360	9	the	the	DET
ejpam-4689	360	10	previously	previously	ADV
ejpam-4689	360	11	derived	derive	VERB
ejpam-4689	360	12	inequality	inequality	NOUN
ejpam-4689	360	13	,	,	PUNCT
ejpam-4689	360	14	we	we	PRON
ejpam-4689	360	15	obtain	obtain	VERB
ejpam-4689	360	16	the	the	DET
ejpam-4689	360	17	new	new	ADJ
ejpam-4689	360	18	inequality	inequality	NOUN
ejpam-4689	360	19	of	of	ADP
ejpam-4689	360	20	the	the	DET
ejpam-4689	360	21	fractional	fractional	ADJ
ejpam-4689	361	1	k	k	PROPN
ejpam-4689	361	2	−	−	PROPN
ejpam-4689	362	1	p	p	PROPN
ejpam-4689	362	2	riemann	riemann	PROPN
ejpam-4689	362	3	liouville	liouville	PROPN
ejpam-4689	362	4	type	type	NOUN
ejpam-4689	362	5	f	f	PROPN
ejpam-4689	362	6	(	(	PUNCT
ejpam-4689	362	7	[	[	PUNCT
ejpam-4689	362	8	a3	a3	NOUN
ejpam-4689	362	9	+	+	PROPN
ejpam-4689	362	10	m3b3	m3b3	X
ejpam-4689	362	11	2	2	NUM
ejpam-4689	362	12	]	]	SYM
ejpam-4689	362	13	1	1	NUM
ejpam-4689	362	14	3	3	NUM
ejpam-4689	362	15	)	)	PUNCT
ejpam-4689	362	16	⩽	⩽	ADJ
ejpam-4689	362	17	h	h	NOUN
ejpam-4689	362	18	(	(	PUNCT
ejpam-4689	362	19	1	1	NUM
ejpam-4689	362	20	2α	2α	NOUN
ejpam-4689	362	21	)	)	PUNCT
ejpam-4689	363	1	m	m	VERB
ejpam-4689	363	2	3θ	3θ	NUM
ejpam-4689	364	1	k	k	PROPN
ejpam-4689	364	2	θγk(θ)2	θγk(θ)2	PROPN
ejpam-4689	364	3	θ	θ	PROPN
ejpam-4689	364	4	k	k	PROPN
ejpam-4689	364	5	3−	3−	NUM
ejpam-4689	364	6	θ	θ	NOUN
ejpam-4689	365	1	k	k	X
ejpam-4689	365	2	(	(	PUNCT
ejpam-4689	365	3	m3b3	m3b3	NOUN
ejpam-4689	365	4	−	−	PROPN
ejpam-4689	365	5	a3	a3	NOUN
ejpam-4689	365	6	)	)	PUNCT
ejpam-4689	365	7	θ	θ	PROPN
ejpam-4689	366	1	k	k	PROPN
ejpam-4689	366	2	2	2	NUM
ejpam-4689	366	3	kj	kj	PROPN
ejpam-4689	366	4	θ	θ	PROPN
ejpam-4689	366	5	(	(	PUNCT
ejpam-4689	366	6	(	(	PUNCT
ejpam-4689	366	7	a3	a3	NOUN
ejpam-4689	366	8	2m3	2m3	NUM
ejpam-4689	366	9	+	+	SYM
ejpam-4689	366	10	b3	b3	PROPN
ejpam-4689	366	11	2	2	NUM
ejpam-4689	366	12	)	)	PUNCT
ejpam-4689	366	13	1	1	NUM
ejpam-4689	366	14	3	3	NUM
ejpam-4689	366	15	)	)	PUNCT
ejpam-4689	366	16	−f	−f	NOUN
ejpam-4689	366	17	(	(	PUNCT
ejpam-4689	366	18	a	a	DET
ejpam-4689	366	19	m	m	NOUN
ejpam-4689	366	20	)	)	PUNCT
ejpam-4689	367	1	+	+	NOUN
ejpam-4689	367	2	h	h	NOUN
ejpam-4689	367	3	(	(	PUNCT
ejpam-4689	367	4	2α	2α	NOUN
ejpam-4689	367	5	−	−	PROPN
ejpam-4689	367	6	1	1	NUM
ejpam-4689	367	7	2α	2α	NOUN
ejpam-4689	367	8	)	)	PUNCT
ejpam-4689	367	9	2	2	NUM
ejpam-4689	367	10	θ	θ	SYM
ejpam-4689	367	11	k	k	PROPN
ejpam-4689	367	12	θγk(θ	θγk(θ	PROPN
ejpam-4689	367	13	)	)	PUNCT
ejpam-4689	367	14	3−	3−	NUM
ejpam-4689	367	15	θ	θ	NOUN
ejpam-4689	368	1	k	k	X
ejpam-4689	368	2	(	(	PUNCT
ejpam-4689	368	3	m3b3	m3b3	NOUN
ejpam-4689	368	4	−	−	PROPN
ejpam-4689	368	5	a3	a3	NOUN
ejpam-4689	368	6	)	)	PUNCT
ejpam-4689	368	7	θ	θ	PROPN
ejpam-4689	369	1	k	k	PROPN
ejpam-4689	369	2	2	2	NUM
ejpam-4689	369	3	kj	kj	PROPN
ejpam-4689	369	4	θ	θ	PROPN
ejpam-4689	369	5	(	(	PUNCT
ejpam-4689	369	6	(	(	PUNCT
ejpam-4689	369	7	a3	a3	NOUN
ejpam-4689	369	8	2	2	NUM
ejpam-4689	369	9	+	+	CCONJ
ejpam-4689	369	10	b3m3	b3m3	PROPN
ejpam-4689	369	11	2	2	NUM
ejpam-4689	369	12	)	)	PUNCT
ejpam-4689	369	13	1	1	NUM
ejpam-4689	369	14	3	3	NUM
ejpam-4689	369	15	)	)	PUNCT
ejpam-4689	369	16	+	+	NOUN
ejpam-4689	369	17	f(mb	f(mb	NOUN
ejpam-4689	369	18	)	)	PUNCT
ejpam-4689	369	19	v.	v.	ADP
ejpam-4689	369	20	stojiljković	stojiljković	ADJ
ejpam-4689	369	21	/	/	SYM
ejpam-4689	369	22	eur	eur	PROPN
ejpam-4689	369	23	.	.	PUNCT
ejpam-4689	370	1	j.	j.	PROPN
ejpam-4689	370	2	pure	pure	PROPN
ejpam-4689	370	3	appl	appl	PROPN
ejpam-4689	370	4	.	.	PROPN
ejpam-4689	370	5	math	math	PROPN
ejpam-4689	370	6	,	,	PUNCT
ejpam-4689	370	7	16	16	NUM
ejpam-4689	370	8	(	(	PUNCT
ejpam-4689	370	9	1	1	NUM
ejpam-4689	370	10	)	)	PUNCT
ejpam-4689	370	11	(	(	PUNCT
ejpam-4689	370	12	2023	2023	NUM
ejpam-4689	370	13	)	)	PUNCT
ejpam-4689	370	14	,	,	PUNCT
ejpam-4689	370	15	503	503	NUM
ejpam-4689	370	16	-	-	SYM
ejpam-4689	370	17	522	522	NUM
ejpam-4689	370	18	514	514	NUM
ejpam-4689	370	19	⩽	⩽	NOUN
ejpam-4689	370	20	3θ	3θ	PROPN
ejpam-4689	371	1	k	k	PROPN
ejpam-4689	371	2	(	(	PUNCT
ejpam-4689	371	3	h	h	NOUN
ejpam-4689	371	4	(	(	PUNCT
ejpam-4689	371	5	1	1	NUM
ejpam-4689	371	6	2α	2α	NOUN
ejpam-4689	371	7	)	)	PUNCT
ejpam-4689	371	8	f(a	f(a	NOUN
ejpam-4689	371	9	)	)	PUNCT
ejpam-4689	372	1	+	+	NUM
ejpam-4689	372	2	m3h	m3h	PROPN
ejpam-4689	372	3	(	(	PUNCT
ejpam-4689	372	4	2α	2α	NOUN
ejpam-4689	372	5	−	−	PROPN
ejpam-4689	372	6	1	1	NUM
ejpam-4689	372	7	2α	2α	NOUN
ejpam-4689	372	8	)	)	PUNCT
ejpam-4689	372	9	f(b	f(b	PROPN
ejpam-4689	372	10	)	)	PUNCT
ejpam-4689	372	11	)	)	PUNCT
ejpam-4689	372	12	∫	∫	PROPN
ejpam-4689	372	13	1	1	NUM
ejpam-4689	372	14	0	0	NUM
ejpam-4689	372	15	h	h	NOUN
ejpam-4689	372	16	(	(	PUNCT
ejpam-4689	372	17	(	(	PUNCT
ejpam-4689	372	18	t3	t3	NOUN
ejpam-4689	372	19	2	2	NUM
ejpam-4689	372	20	)	)	PUNCT
ejpam-4689	372	21	l	l	NOUN
ejpam-4689	372	22	)	)	PUNCT
ejpam-4689	372	23	t	t	PROPN
ejpam-4689	373	1	3θ	3θ	NUM
ejpam-4689	374	1	k	k	PROPN
ejpam-4689	374	2	−1dt	−1dt	PROPN
ejpam-4689	375	1	+	+	X
ejpam-4689	375	2	3θ	3θ	NUM
ejpam-4689	375	3	k	k	NOUN
ejpam-4689	375	4	(	(	PUNCT
ejpam-4689	375	5	h	h	NOUN
ejpam-4689	375	6	(	(	PUNCT
ejpam-4689	375	7	1	1	NUM
ejpam-4689	375	8	2α	2α	NOUN
ejpam-4689	375	9	)	)	PUNCT
ejpam-4689	375	10	m3f(b	m3f(b	PROPN
ejpam-4689	375	11	)	)	PUNCT
ejpam-4689	376	1	+	+	NUM
ejpam-4689	376	2	h	h	NOUN
ejpam-4689	376	3	(	(	PUNCT
ejpam-4689	376	4	2α	2α	NOUN
ejpam-4689	376	5	−	−	PROPN
ejpam-4689	376	6	1	1	NUM
ejpam-4689	376	7	2α	2α	NOUN
ejpam-4689	376	8	)	)	PUNCT
ejpam-4689	376	9	f(a	f(a	PROPN
ejpam-4689	376	10	)	)	PUNCT
ejpam-4689	376	11	)	)	PUNCT
ejpam-4689	376	12	∫	∫	PROPN
ejpam-4689	376	13	1	1	NUM
ejpam-4689	376	14	0	0	NUM
ejpam-4689	376	15	h	h	NOUN
ejpam-4689	376	16	(	(	PUNCT
ejpam-4689	376	17	1−	1−	NUM
ejpam-4689	376	18	(	(	PUNCT
ejpam-4689	376	19	t3	t3	PROPN
ejpam-4689	376	20	2	2	NUM
ejpam-4689	376	21	)	)	PUNCT
ejpam-4689	376	22	l	l	NOUN
ejpam-4689	376	23	)	)	PUNCT
ejpam-4689	376	24	t	t	PROPN
ejpam-4689	376	25	3θ	3θ	NUM
ejpam-4689	377	1	k	k	PROPN
ejpam-4689	377	2	−1dt	−1dt	PROPN
ejpam-4689	377	3	.	.	PUNCT
ejpam-4689	378	1	in	in	ADP
ejpam-4689	378	2	the	the	DET
ejpam-4689	378	3	following	following	NOUN
ejpam-4689	378	4	we	we	PRON
ejpam-4689	378	5	present	present	VERB
ejpam-4689	378	6	a	a	DET
ejpam-4689	378	7	new	new	ADJ
ejpam-4689	378	8	theorem	theorem	NOUN
ejpam-4689	378	9	of	of	ADP
ejpam-4689	378	10	the	the	DET
ejpam-4689	378	11	generalized	generalized	ADJ
ejpam-4689	378	12	q	q	NOUN
ejpam-4689	378	13	type	type	NOUN
ejpam-4689	378	14	.	.	PUNCT
ejpam-4689	379	1	theorem	theorem	NOUN
ejpam-4689	379	2	3	3	X
ejpam-4689	379	3	.	.	PUNCT
ejpam-4689	380	1	let	let	VERB
ejpam-4689	380	2	f	f	NOUN
ejpam-4689	380	3	:	:	PUNCT
ejpam-4689	381	1	[	[	X
ejpam-4689	381	2	ap	ap	PROPN
ejpam-4689	381	3	,	,	PUNCT
ejpam-4689	381	4	bp	bp	PROPN
ejpam-4689	381	5	]	]	PUNCT
ejpam-4689	381	6	→	→	SYM
ejpam-4689	381	7	r.	r.	PROPN
ejpam-4689	381	8	if	if	SCONJ
ejpam-4689	381	9	f	f	PROPN
ejpam-4689	381	10	is	be	AUX
ejpam-4689	381	11	(	(	PUNCT
ejpam-4689	381	12	α	α	NOUN
ejpam-4689	381	13	,	,	PUNCT
ejpam-4689	381	14	h−m)−	h−m)−	NOUN
ejpam-4689	381	15	p	p	NOUN
ejpam-4689	381	16	convex	convex	NOUN
ejpam-4689	381	17	on	on	ADP
ejpam-4689	381	18	[	[	X
ejpam-4689	381	19	ap	ap	PROPN
ejpam-4689	381	20	,	,	PUNCT
ejpam-4689	381	21	bp	bp	PROPN
ejpam-4689	381	22	]	]	PUNCT
ejpam-4689	381	23	and	and	CCONJ
ejpam-4689	381	24	a	a	DET
ejpam-4689	381	25	⩾	⩾	NOUN
ejpam-4689	381	26	0	0	NUM
ejpam-4689	381	27	,	,	PUNCT
ejpam-4689	381	28	b	b	X
ejpam-4689	381	29	>	>	X
ejpam-4689	381	30	a	a	PROPN
ejpam-4689	381	31	,	,	PUNCT
ejpam-4689	381	32	ab	ab	PROPN
ejpam-4689	381	33	<	<	X
ejpam-4689	381	34	m	m	PROPN
ejpam-4689	381	35	⩽	⩽	ADJ
ejpam-4689	381	36	1	1	NUM
ejpam-4689	381	37	,	,	PUNCT
ejpam-4689	381	38	then	then	ADV
ejpam-4689	381	39	the	the	DET
ejpam-4689	381	40	following	follow	VERB
ejpam-4689	381	41	inequality	inequality	NOUN
ejpam-4689	381	42	holds	hold	VERB
ejpam-4689	381	43	f	f	PROPN
ejpam-4689	381	44	(	(	PUNCT
ejpam-4689	381	45	[	[	PUNCT
ejpam-4689	381	46	ap	ap	PROPN
ejpam-4689	381	47	+	+	NOUN
ejpam-4689	381	48	mpbp	mpbp	NOUN
ejpam-4689	381	49	2	2	NUM
ejpam-4689	381	50	]	]	SYM
ejpam-4689	381	51	1	1	NUM
ejpam-4689	381	52	p	p	NOUN
ejpam-4689	381	53	)	)	PUNCT
ejpam-4689	381	54	⩽	⩽	ADJ
ejpam-4689	381	55	h	h	NOUN
ejpam-4689	381	56	(	(	PUNCT
ejpam-4689	381	57	1	1	NUM
ejpam-4689	381	58	2α	2α	NOUN
ejpam-4689	381	59	)	)	PUNCT
ejpam-4689	382	1	2	2	NUM
ejpam-4689	382	2	θ	θ	NOUN
ejpam-4689	382	3	k	k	NOUN
ejpam-4689	382	4	p	p	X
ejpam-4689	382	5	θ	θ	X
ejpam-4689	382	6	k	k	PROPN
ejpam-4689	382	7	θγk(θ	θγk(θ	PROPN
ejpam-4689	382	8	)	)	PUNCT
ejpam-4689	382	9	(	(	PUNCT
ejpam-4689	382	10	bpmp	bpmp	NOUN
ejpam-4689	382	11	−	−	PROPN
ejpam-4689	382	12	ap	ap	PROPN
ejpam-4689	382	13	)	)	PUNCT
ejpam-4689	383	1	θ	θ	PROPN
ejpam-4689	384	1	k	k	PROPN
ejpam-4689	384	2	p−1	p−1	PROPN
ejpam-4689	384	3	k	k	PROPN
ejpam-4689	384	4	jθ	jθ	PROPN
ejpam-4689	384	5	(	(	PUNCT
ejpam-4689	384	6	(	(	PUNCT
ejpam-4689	384	7	q	q	PROPN
ejpam-4689	384	8	2	2	NUM
ejpam-4689	384	9	(	(	PUNCT
ejpam-4689	384	10	ap−mpbp)+ap	ap−mpbp)+ap	VERB
ejpam-4689	384	11	2	2	NUM
ejpam-4689	384	12	+	+	NUM
ejpam-4689	384	13	bpmp	bpmp	NOUN
ejpam-4689	384	14	2	2	NUM
ejpam-4689	384	15	)	)	PUNCT
ejpam-4689	384	16	1	1	NUM
ejpam-4689	384	17	p	p	NOUN
ejpam-4689	384	18	)	)	PUNCT
ejpam-4689	385	1	+	+	NOUN
ejpam-4689	385	2	f	f	X
ejpam-4689	385	3	(	(	PUNCT
ejpam-4689	385	4	(	(	PUNCT
ejpam-4689	385	5	q	q	PROPN
ejpam-4689	385	6	2	2	NUM
ejpam-4689	385	7	(	(	PUNCT
ejpam-4689	385	8	ap	ap	PROPN
ejpam-4689	385	9	−	−	PROPN
ejpam-4689	385	10	bpmp	bpmp	PROPN
ejpam-4689	385	11	)	)	PUNCT
ejpam-4689	386	1	+	+	NOUN
ejpam-4689	386	2	mpbp	mpbp	NOUN
ejpam-4689	386	3	)	)	PUNCT
ejpam-4689	386	4	1	1	NUM
ejpam-4689	386	5	p	p	NOUN
ejpam-4689	386	6	)	)	PUNCT
ejpam-4689	387	1	+	+	CCONJ
ejpam-4689	387	2	h	h	NOUN
ejpam-4689	387	3	(	(	PUNCT
ejpam-4689	387	4	1−	1−	NUM
ejpam-4689	387	5	1	1	NUM
ejpam-4689	387	6	2α	2α	NOUN
ejpam-4689	387	7	)	)	PUNCT
ejpam-4689	387	8	mp+	mp+	PROPN
ejpam-4689	387	9	θp	θp	ADP
ejpam-4689	387	10	k	k	PROPN
ejpam-4689	387	11	2	2	NUM
ejpam-4689	387	12	θ	θ	NOUN
ejpam-4689	388	1	k	k	NOUN
ejpam-4689	388	2	p	p	X
ejpam-4689	388	3	θ	θ	X
ejpam-4689	388	4	k	k	PROPN
ejpam-4689	388	5	θγk(θ	θγk(θ	PROPN
ejpam-4689	388	6	)	)	PUNCT
ejpam-4689	388	7	(	(	PUNCT
ejpam-4689	388	8	bpmp	bpmp	NOUN
ejpam-4689	388	9	−	−	PROPN
ejpam-4689	388	10	ap	ap	PROPN
ejpam-4689	388	11	)	)	PUNCT
ejpam-4689	388	12	θ	θ	PROPN
ejpam-4689	389	1	k	k	PROPN
ejpam-4689	389	2	p−1	p−1	PROPN
ejpam-4689	389	3	k	k	PROPN
ejpam-4689	389	4	j	j	PROPN
ejpam-4689	389	5	(	(	PUNCT
ejpam-4689	389	6	(	(	PUNCT
ejpam-4689	389	7	q	q	PROPN
ejpam-4689	389	8	2	2	NUM
ejpam-4689	389	9	(	(	PUNCT
ejpam-4689	389	10	bp−	bp−	NUM
ejpam-4689	389	11	ap	ap	PROPN
ejpam-4689	389	12	mp	mp	PROPN
ejpam-4689	389	13	)	)	PUNCT
ejpam-4689	389	14	+	+	CCONJ
ejpam-4689	389	15	ap	ap	PROPN
ejpam-4689	389	16	2mp+	2mp+	NUM
ejpam-4689	389	17	bp	bp	PROPN
ejpam-4689	389	18	2	2	NUM
ejpam-4689	389	19	)	)	PUNCT
ejpam-4689	389	20	1	1	NUM
ejpam-4689	389	21	p	p	NOUN
ejpam-4689	389	22	)	)	PUNCT
ejpam-4689	389	23	−f	−f	NOUN
ejpam-4689	389	24	(	(	PUNCT
ejpam-4689	389	25	(	(	PUNCT
ejpam-4689	389	26	q	q	PROPN
ejpam-4689	389	27	2	2	NUM
ejpam-4689	389	28	(	(	PUNCT
ejpam-4689	389	29	bp	bp	PROPN
ejpam-4689	389	30	−	−	PROPN
ejpam-4689	389	31	ap	ap	PROPN
ejpam-4689	389	32	mp	mp	PROPN
ejpam-4689	389	33	)	)	PUNCT
ejpam-4689	390	1	+	+	CCONJ
ejpam-4689	390	2	ap	ap	PROPN
ejpam-4689	390	3	mp	mp	PROPN
ejpam-4689	390	4	)	)	PUNCT
ejpam-4689	390	5	1	1	NUM
ejpam-4689	390	6	p	p	NOUN
ejpam-4689	390	7	)	)	PUNCT
ejpam-4689	390	8	⩽	⩽	NOUN
ejpam-4689	390	9	(	(	PUNCT
ejpam-4689	390	10	(	(	PUNCT
ejpam-4689	390	11	h	h	NOUN
ejpam-4689	390	12	(	(	PUNCT
ejpam-4689	390	13	1	1	NUM
ejpam-4689	390	14	2α	2α	NOUN
ejpam-4689	390	15	)	)	PUNCT
ejpam-4689	390	16	f(a	f(a	NOUN
ejpam-4689	390	17	)	)	PUNCT
ejpam-4689	391	1	+	+	NUM
ejpam-4689	391	2	h	h	NOUN
ejpam-4689	391	3	(	(	PUNCT
ejpam-4689	391	4	1−	1−	NUM
ejpam-4689	391	5	1	1	NUM
ejpam-4689	391	6	2α	2α	NOUN
ejpam-4689	391	7	)	)	PUNCT
ejpam-4689	391	8	mpf(b	mpf(b	PROPN
ejpam-4689	391	9	)	)	PUNCT
ejpam-4689	391	10	)	)	PUNCT
ejpam-4689	392	1	∫	∫	PROPN
ejpam-4689	392	2	1	1	NUM
ejpam-4689	392	3	0	0	NUM
ejpam-4689	392	4	h	h	NOUN
ejpam-4689	392	5	(	(	PUNCT
ejpam-4689	392	6	(	(	PUNCT
ejpam-4689	392	7	q	q	PROPN
ejpam-4689	393	1	+	+	CCONJ
ejpam-4689	393	2	tp	tp	ADP
ejpam-4689	393	3	2	2	NUM
ejpam-4689	393	4	)	)	PUNCT
ejpam-4689	393	5	l	l	NOUN
ejpam-4689	393	6	)	)	PUNCT
ejpam-4689	393	7	t	t	NOUN
ejpam-4689	393	8	θp	θp	ADP
ejpam-4689	393	9	k	k	PROPN
ejpam-4689	393	10	−1dt	−1dt	PROPN
ejpam-4689	393	11	)	)	PUNCT
ejpam-4689	393	12	θp	θp	ADP
ejpam-4689	393	13	k	k	PROPN
ejpam-4689	394	1	+	+	CCONJ
ejpam-4689	394	2	(	(	PUNCT
ejpam-4689	394	3	(	(	PUNCT
ejpam-4689	394	4	h	h	NOUN
ejpam-4689	394	5	(	(	PUNCT
ejpam-4689	394	6	1	1	NUM
ejpam-4689	394	7	2α	2α	NOUN
ejpam-4689	394	8	)	)	PUNCT
ejpam-4689	394	9	f(b)mp	f(b)mp	ADP
ejpam-4689	395	1	+	+	NUM
ejpam-4689	395	2	h	h	PROPN
ejpam-4689	395	3	(	(	PUNCT
ejpam-4689	395	4	1−	1−	NUM
ejpam-4689	395	5	1	1	NUM
ejpam-4689	395	6	2α	2α	NOUN
ejpam-4689	395	7	)	)	PUNCT
ejpam-4689	395	8	f(a	f(a	PROPN
ejpam-4689	395	9	)	)	PUNCT
ejpam-4689	395	10	)	)	PUNCT
ejpam-4689	396	1	∫	∫	PROPN
ejpam-4689	396	2	1	1	NUM
ejpam-4689	396	3	0	0	NUM
ejpam-4689	396	4	h	h	NOUN
ejpam-4689	396	5	(	(	PUNCT
ejpam-4689	396	6	1−	1−	NUM
ejpam-4689	396	7	(	(	PUNCT
ejpam-4689	396	8	q	q	PROPN
ejpam-4689	397	1	+	+	CCONJ
ejpam-4689	397	2	tp	tp	ADP
ejpam-4689	397	3	2	2	NUM
ejpam-4689	397	4	)	)	PUNCT
ejpam-4689	397	5	l	l	NOUN
ejpam-4689	397	6	)	)	PUNCT
ejpam-4689	397	7	t	t	NOUN
ejpam-4689	397	8	θp	θp	ADP
ejpam-4689	397	9	k	k	PROPN
ejpam-4689	397	10	−1dt	−1dt	PROPN
ejpam-4689	397	11	)	)	PUNCT
ejpam-4689	397	12	θp	θp	ADP
ejpam-4689	397	13	k	k	PROPN
ejpam-4689	397	14	.	.	PUNCT
ejpam-4689	398	1	proof	proof	NOUN
ejpam-4689	398	2	.	.	PUNCT
ejpam-4689	399	1	since	since	SCONJ
ejpam-4689	399	2	f	f	PROPN
ejpam-4689	399	3	is	be	AUX
ejpam-4689	399	4	(	(	PUNCT
ejpam-4689	399	5	α	α	NOUN
ejpam-4689	399	6	,	,	PUNCT
ejpam-4689	399	7	h−m)−	h−m)−	PROPN
ejpam-4689	399	8	p	p	PROPN
ejpam-4689	399	9	convex	convex	NOUN
ejpam-4689	399	10	,	,	PUNCT
ejpam-4689	399	11	we	we	PRON
ejpam-4689	399	12	have	have	VERB
ejpam-4689	399	13	the	the	DET
ejpam-4689	399	14	following	follow	VERB
ejpam-4689	399	15	inequality	inequality	NOUN
ejpam-4689	399	16	f	f	PROPN
ejpam-4689	399	17	(	(	PUNCT
ejpam-4689	399	18	(	(	PUNCT
ejpam-4689	399	19	tap	tap	VERB
ejpam-4689	399	20	+	+	SYM
ejpam-4689	399	21	m(1−	m(1−	ADJ
ejpam-4689	399	22	t)bp	t)bp	PROPN
ejpam-4689	399	23	)	)	PUNCT
ejpam-4689	399	24	1	1	NUM
ejpam-4689	399	25	p	p	NOUN
ejpam-4689	399	26	)	)	PUNCT
ejpam-4689	399	27	⩽	⩽	ADJ
ejpam-4689	399	28	h(tα)f(a	h(tα)f(a	NOUN
ejpam-4689	399	29	)	)	PUNCT
ejpam-4689	399	30	+	+	ADJ
ejpam-4689	399	31	mh(1−	mh(1−	ADJ
ejpam-4689	399	32	tα)f(b	tα)f(b	NOUN
ejpam-4689	399	33	)	)	PUNCT
ejpam-4689	399	34	.	.	PUNCT
ejpam-4689	400	1	setting	set	VERB
ejpam-4689	400	2	t	t	NOUN
ejpam-4689	400	3	=	=	SYM
ejpam-4689	400	4	1	1	NUM
ejpam-4689	400	5	2	2	NUM
ejpam-4689	400	6	and	and	CCONJ
ejpam-4689	400	7	xp	xp	ADV
ejpam-4689	400	8	=	=	PUNCT
ejpam-4689	400	9	q+tp	q+tp	ADJ
ejpam-4689	400	10	2	2	NUM
ejpam-4689	400	11	ap	ap	NOUN
ejpam-4689	400	12	+	+	CCONJ
ejpam-4689	400	13	(	(	PUNCT
ejpam-4689	400	14	1−	1−	NUM
ejpam-4689	400	15	q+tp	q+tp	ADJ
ejpam-4689	400	16	2	2	NUM
ejpam-4689	400	17	)	)	PUNCT
ejpam-4689	400	18	bpmp	bpmp	NOUN
ejpam-4689	400	19	,	,	PUNCT
ejpam-4689	400	20	yp	yp	X
ejpam-4689	400	21	=	=	SYM
ejpam-4689	400	22	q+tp	q+tp	ADJ
ejpam-4689	400	23	2	2	NUM
ejpam-4689	400	24	bp	bp	NOUN
ejpam-4689	400	25	+	+	CCONJ
ejpam-4689	400	26	(	(	PUNCT
ejpam-4689	400	27	1−	1−	NUM
ejpam-4689	400	28	q+tp	q+tp	ADJ
ejpam-4689	400	29	2	2	NUM
ejpam-4689	400	30	)	)	PUNCT
ejpam-4689	400	31	ap	ap	PROPN
ejpam-4689	400	32	mp	mp	PROPN
ejpam-4689	400	33	in	in	ADP
ejpam-4689	400	34	the	the	DET
ejpam-4689	400	35	inequality	inequality	NOUN
ejpam-4689	400	36	,	,	PUNCT
ejpam-4689	400	37	we	we	PRON
ejpam-4689	400	38	obtain	obtain	VERB
ejpam-4689	400	39	f	f	X
ejpam-4689	400	40	(	(	PUNCT
ejpam-4689	400	41	[	[	PUNCT
ejpam-4689	400	42	ap	ap	PROPN
ejpam-4689	400	43	+	+	NOUN
ejpam-4689	400	44	mpbp	mpbp	NOUN
ejpam-4689	400	45	2	2	NUM
ejpam-4689	400	46	]	]	SYM
ejpam-4689	400	47	1	1	NUM
ejpam-4689	400	48	p	p	NOUN
ejpam-4689	400	49	)	)	PUNCT
ejpam-4689	400	50	⩽	⩽	ADJ
ejpam-4689	400	51	h	h	NOUN
ejpam-4689	401	1	(	(	PUNCT
ejpam-4689	401	2	1	1	NUM
ejpam-4689	401	3	2α	2α	NOUN
ejpam-4689	401	4	)	)	PUNCT
ejpam-4689	401	5	f	f	PROPN
ejpam-4689	401	6	(	(	PUNCT
ejpam-4689	401	7	(	(	PUNCT
ejpam-4689	401	8	q	q	X
ejpam-4689	402	1	+	+	CCONJ
ejpam-4689	402	2	tp	tp	PART
ejpam-4689	402	3	2	2	NUM
ejpam-4689	402	4	ap	ap	NOUN
ejpam-4689	402	5	+	+	CCONJ
ejpam-4689	402	6	(	(	PUNCT
ejpam-4689	402	7	1−	1−	NUM
ejpam-4689	402	8	q	q	NOUN
ejpam-4689	402	9	+	+	CCONJ
ejpam-4689	402	10	tp	tp	PART
ejpam-4689	402	11	2	2	NUM
ejpam-4689	402	12	)	)	PUNCT
ejpam-4689	402	13	bpmp	bpmp	NOUN
ejpam-4689	402	14	)	)	PUNCT
ejpam-4689	402	15	1	1	NUM
ejpam-4689	402	16	p	p	NOUN
ejpam-4689	402	17	)	)	PUNCT
ejpam-4689	403	1	+	+	NOUN
ejpam-4689	403	2	h	h	NOUN
ejpam-4689	403	3	(	(	PUNCT
ejpam-4689	403	4	1−	1−	NUM
ejpam-4689	403	5	1	1	NUM
ejpam-4689	403	6	2α	2α	NOUN
ejpam-4689	403	7	)	)	PUNCT
ejpam-4689	403	8	mpf	mpf	PROPN
ejpam-4689	403	9	(	(	PUNCT
ejpam-4689	403	10	(	(	PUNCT
ejpam-4689	403	11	q	q	PROPN
ejpam-4689	403	12	+	+	CCONJ
ejpam-4689	403	13	tp	tp	PART
ejpam-4689	403	14	2	2	NUM
ejpam-4689	403	15	bp	bp	NOUN
ejpam-4689	403	16	+	+	CCONJ
ejpam-4689	403	17	(	(	PUNCT
ejpam-4689	403	18	1−	1−	NUM
ejpam-4689	403	19	q	q	NOUN
ejpam-4689	404	1	+	+	CCONJ
ejpam-4689	404	2	tp	tp	ADP
ejpam-4689	404	3	2	2	NUM
ejpam-4689	404	4	)	)	PUNCT
ejpam-4689	404	5	ap	ap	PROPN
ejpam-4689	404	6	mp	mp	PROPN
ejpam-4689	404	7	)	)	PUNCT
ejpam-4689	404	8	1	1	NUM
ejpam-4689	404	9	p	p	NOUN
ejpam-4689	404	10	)	)	PUNCT
ejpam-4689	404	11	.	.	PUNCT
ejpam-4689	405	1	multiplying	multiply	VERB
ejpam-4689	405	2	the	the	DET
ejpam-4689	405	3	inequality	inequality	NOUN
ejpam-4689	405	4	with	with	ADP
ejpam-4689	405	5	t	t	PROPN
ejpam-4689	405	6	θp	θp	ADP
ejpam-4689	405	7	k	k	PROPN
ejpam-4689	405	8	−ptp−1	−ptp−1	NOUN
ejpam-4689	405	9	and	and	CCONJ
ejpam-4689	405	10	integrating	integrate	VERB
ejpam-4689	405	11	with	with	ADP
ejpam-4689	405	12	respect	respect	NOUN
ejpam-4689	405	13	to	to	ADP
ejpam-4689	405	14	t	t	NOUN
ejpam-4689	405	15	from	from	ADP
ejpam-4689	405	16	0	0	NUM
ejpam-4689	405	17	to	to	PART
ejpam-4689	405	18	1	1	NUM
ejpam-4689	405	19	we	we	PRON
ejpam-4689	405	20	get	get	VERB
ejpam-4689	405	21	∫	∫	PROPN
ejpam-4689	405	22	1	1	NUM
ejpam-4689	405	23	0	0	NUM
ejpam-4689	405	24	t	t	NOUN
ejpam-4689	405	25	θp	θp	ADP
ejpam-4689	405	26	k	k	PROPN
ejpam-4689	405	27	−1f	−1f	PROPN
ejpam-4689	405	28	(	(	PUNCT
ejpam-4689	405	29	[	[	PUNCT
ejpam-4689	405	30	ap	ap	PROPN
ejpam-4689	405	31	+	+	NOUN
ejpam-4689	405	32	mpbp	mpbp	NOUN
ejpam-4689	405	33	2	2	NUM
ejpam-4689	405	34	]	]	SYM
ejpam-4689	405	35	1	1	NUM
ejpam-4689	405	36	p	p	NOUN
ejpam-4689	405	37	)	)	PUNCT
ejpam-4689	405	38	dt	dt	NOUN
ejpam-4689	405	39	⩽	⩽	ADV
ejpam-4689	405	40	v.	v.	ADP
ejpam-4689	405	41	stojiljković	stojiljković	PROPN
ejpam-4689	405	42	/	/	SYM
ejpam-4689	405	43	eur	eur	PROPN
ejpam-4689	405	44	.	.	PUNCT
ejpam-4689	406	1	j.	j.	PROPN
ejpam-4689	406	2	pure	pure	PROPN
ejpam-4689	406	3	appl	appl	PROPN
ejpam-4689	406	4	.	.	PROPN
ejpam-4689	406	5	math	math	PROPN
ejpam-4689	406	6	,	,	PUNCT
ejpam-4689	406	7	16	16	NUM
ejpam-4689	406	8	(	(	PUNCT
ejpam-4689	406	9	1	1	NUM
ejpam-4689	406	10	)	)	PUNCT
ejpam-4689	406	11	(	(	PUNCT
ejpam-4689	406	12	2023	2023	NUM
ejpam-4689	406	13	)	)	PUNCT
ejpam-4689	406	14	,	,	PUNCT
ejpam-4689	406	15	503	503	NUM
ejpam-4689	406	16	-	-	SYM
ejpam-4689	406	17	522	522	NUM
ejpam-4689	406	18	515∫	515∫	NUM
ejpam-4689	406	19	1	1	NUM
ejpam-4689	406	20	0	0	NUM
ejpam-4689	406	21	t	t	NOUN
ejpam-4689	406	22	θp	θp	ADP
ejpam-4689	406	23	k	k	PROPN
ejpam-4689	406	24	−1h	−1h	PROPN
ejpam-4689	406	25	(	(	PUNCT
ejpam-4689	406	26	1	1	NUM
ejpam-4689	406	27	2α	2α	NOUN
ejpam-4689	406	28	)	)	PUNCT
ejpam-4689	406	29	f	f	PROPN
ejpam-4689	407	1	(	(	PUNCT
ejpam-4689	407	2	(	(	PUNCT
ejpam-4689	407	3	q	q	X
ejpam-4689	407	4	+	+	CCONJ
ejpam-4689	407	5	tp	tp	PART
ejpam-4689	407	6	2	2	NUM
ejpam-4689	407	7	ap	ap	NOUN
ejpam-4689	407	8	+	+	CCONJ
ejpam-4689	407	9	(	(	PUNCT
ejpam-4689	407	10	1−	1−	NUM
ejpam-4689	407	11	q	q	NOUN
ejpam-4689	407	12	+	+	CCONJ
ejpam-4689	407	13	tp	tp	PART
ejpam-4689	407	14	2	2	NUM
ejpam-4689	407	15	)	)	PUNCT
ejpam-4689	407	16	bpmp	bpmp	NOUN
ejpam-4689	407	17	)	)	PUNCT
ejpam-4689	407	18	1	1	NUM
ejpam-4689	407	19	p	p	NOUN
ejpam-4689	407	20	)	)	PUNCT
ejpam-4689	407	21	dt	dt	PROPN
ejpam-4689	408	1	+	+	CCONJ
ejpam-4689	408	2	∫	∫	PROPN
ejpam-4689	408	3	1	1	NUM
ejpam-4689	408	4	0	0	NUM
ejpam-4689	408	5	t	t	NOUN
ejpam-4689	408	6	θp	θp	ADP
ejpam-4689	408	7	k	k	PROPN
ejpam-4689	408	8	−1h	−1h	PROPN
ejpam-4689	408	9	(	(	PUNCT
ejpam-4689	408	10	1−	1−	NUM
ejpam-4689	408	11	1	1	NUM
ejpam-4689	408	12	2α	2α	NOUN
ejpam-4689	408	13	)	)	PUNCT
ejpam-4689	408	14	mpf	mpf	PROPN
ejpam-4689	408	15	(	(	PUNCT
ejpam-4689	408	16	(	(	PUNCT
ejpam-4689	408	17	q	q	PROPN
ejpam-4689	408	18	+	+	CCONJ
ejpam-4689	408	19	tp	tp	PART
ejpam-4689	408	20	2	2	NUM
ejpam-4689	408	21	bp	bp	NOUN
ejpam-4689	408	22	+	+	CCONJ
ejpam-4689	408	23	(	(	PUNCT
ejpam-4689	408	24	1−	1−	NUM
ejpam-4689	408	25	q	q	NOUN
ejpam-4689	409	1	+	+	CCONJ
ejpam-4689	409	2	tp	tp	ADP
ejpam-4689	409	3	2	2	NUM
ejpam-4689	409	4	)	)	PUNCT
ejpam-4689	409	5	ap	ap	PROPN
ejpam-4689	409	6	mp	mp	PROPN
ejpam-4689	409	7	)	)	PUNCT
ejpam-4689	409	8	1	1	NUM
ejpam-4689	409	9	p	p	NOUN
ejpam-4689	409	10	)	)	PUNCT
ejpam-4689	409	11	dt	dt	PROPN
ejpam-4689	409	12	.	.	PUNCT
ejpam-4689	410	1	the	the	DET
ejpam-4689	410	2	left	left	ADJ
ejpam-4689	410	3	hand	hand	NOUN
ejpam-4689	410	4	side	side	NOUN
ejpam-4689	410	5	is	be	AUX
ejpam-4689	410	6	easy	easy	ADJ
ejpam-4689	410	7	to	to	PART
ejpam-4689	410	8	integrate	integrate	VERB
ejpam-4689	410	9	,	,	PUNCT
ejpam-4689	410	10	therefore	therefore	ADV
ejpam-4689	410	11	we	we	PRON
ejpam-4689	410	12	focus	focus	VERB
ejpam-4689	410	13	our	our	PRON
ejpam-4689	410	14	attention	attention	NOUN
ejpam-4689	410	15	to	to	ADP
ejpam-4689	410	16	the	the	DET
ejpam-4689	410	17	other	other	ADJ
ejpam-4689	410	18	two	two	NUM
ejpam-4689	410	19	integrals	integral	NOUN
ejpam-4689	410	20	.	.	PUNCT
ejpam-4689	411	1	introducing	introduce	VERB
ejpam-4689	411	2	a	a	DET
ejpam-4689	411	3	substitution	substitution	NOUN
ejpam-4689	411	4	xp	xp	NOUN
ejpam-4689	412	1	=	=	PUNCT
ejpam-4689	412	2	q+tp	q+tp	PROPN
ejpam-4689	412	3	2	2	NUM
ejpam-4689	412	4	ap	ap	NOUN
ejpam-4689	412	5	+	+	CCONJ
ejpam-4689	412	6	(	(	PUNCT
ejpam-4689	412	7	1−	1−	NUM
ejpam-4689	412	8	q+tp	q+tp	ADJ
ejpam-4689	412	9	2	2	NUM
ejpam-4689	412	10	)	)	PUNCT
ejpam-4689	412	11	bpmp	bpmp	NOUN
ejpam-4689	412	12	while	while	SCONJ
ejpam-4689	412	13	noting	note	VERB
ejpam-4689	412	14	that	that	SCONJ
ejpam-4689	412	15	a	a	DET
ejpam-4689	412	16	⩾	⩾	NOUN
ejpam-4689	412	17	0	0	NUM
ejpam-4689	412	18	,	,	PUNCT
ejpam-4689	412	19	b	b	X
ejpam-4689	412	20	>	>	X
ejpam-4689	412	21	a	a	PROPN
ejpam-4689	412	22	,	,	PUNCT
ejpam-4689	412	23	ab	ab	PROPN
ejpam-4689	412	24	<	<	X
ejpam-4689	412	25	m	m	PROPN
ejpam-4689	412	26	⩽	⩽	ADJ
ejpam-4689	412	27	1	1	NUM
ejpam-4689	412	28	,	,	PUNCT
ejpam-4689	412	29	we	we	PRON
ejpam-4689	412	30	obtain∫	obtain∫	VERB
ejpam-4689	412	31	1	1	NUM
ejpam-4689	412	32	0	0	NUM
ejpam-4689	412	33	t	t	NOUN
ejpam-4689	412	34	θp	θp	ADP
ejpam-4689	412	35	k	k	PROPN
ejpam-4689	412	36	−1h	−1h	PROPN
ejpam-4689	412	37	(	(	PUNCT
ejpam-4689	412	38	1	1	NUM
ejpam-4689	412	39	2α	2α	NOUN
ejpam-4689	412	40	)	)	PUNCT
ejpam-4689	413	1	f	f	PROPN
ejpam-4689	414	1	(	(	PUNCT
ejpam-4689	414	2	(	(	PUNCT
ejpam-4689	414	3	q	q	X
ejpam-4689	414	4	+	+	CCONJ
ejpam-4689	414	5	tp	tp	PART
ejpam-4689	414	6	2	2	NUM
ejpam-4689	414	7	ap	ap	NOUN
ejpam-4689	414	8	+	+	CCONJ
ejpam-4689	414	9	(	(	PUNCT
ejpam-4689	414	10	1−	1−	NUM
ejpam-4689	414	11	q	q	NOUN
ejpam-4689	414	12	+	+	CCONJ
ejpam-4689	414	13	tp	tp	PART
ejpam-4689	414	14	2	2	NUM
ejpam-4689	414	15	)	)	PUNCT
ejpam-4689	414	16	bpmp	bpmp	NOUN
ejpam-4689	414	17	)	)	PUNCT
ejpam-4689	414	18	1	1	NUM
ejpam-4689	414	19	p	p	NOUN
ejpam-4689	414	20	)	)	PUNCT
ejpam-4689	414	21	dt	dt	PROPN
ejpam-4689	415	1	=	=	SYM
ejpam-4689	415	2	∫	∫	PROPN
ejpam-4689	415	3	(	(	PUNCT
ejpam-4689	415	4	q	q	PROPN
ejpam-4689	415	5	2	2	NUM
ejpam-4689	415	6	(	(	PUNCT
ejpam-4689	415	7	ap−mpbp)+bpmp	ap−mpbp)+bpmp	PROPN
ejpam-4689	415	8	)	)	PUNCT
ejpam-4689	415	9	1	1	NUM
ejpam-4689	415	10	p	p	NOUN
ejpam-4689	415	11	(	(	PUNCT
ejpam-4689	415	12	q	q	PROPN
ejpam-4689	415	13	2	2	NUM
ejpam-4689	415	14	(	(	PUNCT
ejpam-4689	415	15	ap−bpmp)+ap	ap−bpmp)+ap	PROPN
ejpam-4689	415	16	2	2	NUM
ejpam-4689	415	17	+	+	NOUN
ejpam-4689	415	18	mpbp	mpbp	NOUN
ejpam-4689	415	19	2	2	NUM
ejpam-4689	415	20	)	)	PUNCT
ejpam-4689	415	21	1	1	NUM
ejpam-4689	415	22	p	p	NOUN
ejpam-4689	415	23	f(z)(bpmp	f(z)(bpmp	NOUN
ejpam-4689	416	1	+	+	CCONJ
ejpam-4689	416	2	q	q	PROPN
ejpam-4689	416	3	2	2	NUM
ejpam-4689	416	4	(	(	PUNCT
ejpam-4689	416	5	ap	ap	PROPN
ejpam-4689	416	6	−	−	PROPN
ejpam-4689	416	7	bpmp)−	bpmp)−	PROPN
ejpam-4689	416	8	zp	zp	PROPN
ejpam-4689	416	9	)	)	PUNCT
ejpam-4689	416	10	θ	θ	PROPN
ejpam-4689	416	11	k	k	PROPN
ejpam-4689	416	12	−1zp−1dz	−1zp−1dz	PROPN
ejpam-4689	416	13	·	·	PUNCT
ejpam-4689	416	14	2	2	NUM
ejpam-4689	416	15	θ	θ	X
ejpam-4689	416	16	k	k	X
ejpam-4689	416	17	(	(	PUNCT
ejpam-4689	416	18	bpmp	bpmp	PROPN
ejpam-4689	416	19	−	−	PROPN
ejpam-4689	416	20	ap	ap	PROPN
ejpam-4689	416	21	)	)	PUNCT
ejpam-4689	416	22	θ	θ	PROPN
ejpam-4689	417	1	k	k	PROPN
ejpam-4689	417	2	.	.	PUNCT
ejpam-4689	418	1	which	which	PRON
ejpam-4689	418	2	can	can	AUX
ejpam-4689	418	3	be	be	AUX
ejpam-4689	418	4	seen	see	VERB
ejpam-4689	418	5	to	to	PART
ejpam-4689	418	6	be	be	AUX
ejpam-4689	418	7	of	of	ADP
ejpam-4689	418	8	the	the	DET
ejpam-4689	418	9	k−	k−	PROPN
ejpam-4689	418	10	p	p	PROPN
ejpam-4689	418	11	riemann	riemann	PROPN
ejpam-4689	418	12	liouville	liouville	VERB
ejpam-4689	418	13	integral	integral	ADJ
ejpam-4689	418	14	form	form	NOUN
ejpam-4689	418	15	,	,	PUNCT
ejpam-4689	418	16	therefore	therefore	ADV
ejpam-4689	418	17	we	we	PRON
ejpam-4689	418	18	obtain	obtain	VERB
ejpam-4689	418	19	the	the	DET
ejpam-4689	418	20	following	follow	VERB
ejpam-4689	418	21	equality	equality	NOUN
ejpam-4689	418	22	∫	∫	PROPN
ejpam-4689	419	1	(	(	PUNCT
ejpam-4689	419	2	q	q	PROPN
ejpam-4689	419	3	2	2	NUM
ejpam-4689	419	4	(	(	PUNCT
ejpam-4689	419	5	ap−mpbp)+bpmp	ap−mpbp)+bpmp	PROPN
ejpam-4689	419	6	)	)	PUNCT
ejpam-4689	419	7	1	1	NUM
ejpam-4689	419	8	p	p	NOUN
ejpam-4689	419	9	(	(	PUNCT
ejpam-4689	419	10	q	q	PROPN
ejpam-4689	419	11	2	2	NUM
ejpam-4689	419	12	(	(	PUNCT
ejpam-4689	419	13	ap−bpmp)+ap	ap−bpmp)+ap	PROPN
ejpam-4689	419	14	2	2	NUM
ejpam-4689	419	15	+	+	NOUN
ejpam-4689	419	16	mpbp	mpbp	NOUN
ejpam-4689	419	17	2	2	NUM
ejpam-4689	419	18	)	)	PUNCT
ejpam-4689	419	19	1	1	NUM
ejpam-4689	419	20	p	p	NOUN
ejpam-4689	419	21	f(z)(bpmp	f(z)(bpmp	NOUN
ejpam-4689	420	1	+	+	CCONJ
ejpam-4689	420	2	q	q	PROPN
ejpam-4689	420	3	2	2	NUM
ejpam-4689	420	4	(	(	PUNCT
ejpam-4689	420	5	ap	ap	PROPN
ejpam-4689	420	6	−	−	PROPN
ejpam-4689	420	7	bpmp)−	bpmp)−	PROPN
ejpam-4689	420	8	zp	zp	PROPN
ejpam-4689	420	9	)	)	PUNCT
ejpam-4689	420	10	θ	θ	PROPN
ejpam-4689	420	11	k	k	PROPN
ejpam-4689	420	12	−1zp−1dz	−1zp−1dz	PROPN
ejpam-4689	420	13	·	·	PUNCT
ejpam-4689	420	14	2	2	NUM
ejpam-4689	420	15	θ	θ	X
ejpam-4689	420	16	k	k	X
ejpam-4689	420	17	(	(	PUNCT
ejpam-4689	420	18	bpmp	bpmp	PROPN
ejpam-4689	420	19	−	−	PROPN
ejpam-4689	420	20	ap	ap	PROPN
ejpam-4689	420	21	)	)	PUNCT
ejpam-4689	420	22	θ	θ	PROPN
ejpam-4689	421	1	k	k	X
ejpam-4689	421	2	=	=	PUNCT
ejpam-4689	421	3	h	h	PROPN
ejpam-4689	421	4	(	(	PUNCT
ejpam-4689	421	5	1	1	NUM
ejpam-4689	421	6	2α	2α	NOUN
ejpam-4689	421	7	)	)	PUNCT
ejpam-4689	421	8	2	2	NUM
ejpam-4689	421	9	θ	θ	PROPN
ejpam-4689	421	10	k	k	PROPN
ejpam-4689	421	11	kγk(θ	kγk(θ	PROPN
ejpam-4689	421	12	)	)	PUNCT
ejpam-4689	422	1	p1−	p1−	PROPN
ejpam-4689	422	2	θ	θ	X
ejpam-4689	422	3	k	k	PROPN
ejpam-4689	422	4	(	(	PUNCT
ejpam-4689	422	5	bpmp	bpmp	PROPN
ejpam-4689	422	6	−	−	PROPN
ejpam-4689	422	7	ap	ap	PROPN
ejpam-4689	422	8	)	)	PUNCT
ejpam-4689	422	9	θ	θ	PROPN
ejpam-4689	423	1	k	k	PROPN
ejpam-4689	423	2	p−1	p−1	PROPN
ejpam-4689	423	3	k	k	PROPN
ejpam-4689	423	4	jθ	jθ	PROPN
ejpam-4689	423	5	(	(	PUNCT
ejpam-4689	423	6	(	(	PUNCT
ejpam-4689	423	7	q	q	PROPN
ejpam-4689	423	8	2	2	NUM
ejpam-4689	423	9	(	(	PUNCT
ejpam-4689	423	10	ap−mpbp)+ap	ap−mpbp)+ap	VERB
ejpam-4689	423	11	2	2	NUM
ejpam-4689	423	12	+	+	NUM
ejpam-4689	423	13	bpmp	bpmp	NOUN
ejpam-4689	423	14	2	2	NUM
ejpam-4689	423	15	)	)	PUNCT
ejpam-4689	423	16	1	1	NUM
ejpam-4689	423	17	p	p	NOUN
ejpam-4689	423	18	)	)	PUNCT
ejpam-4689	424	1	+	+	NOUN
ejpam-4689	424	2	f	f	X
ejpam-4689	424	3	(	(	PUNCT
ejpam-4689	424	4	(	(	PUNCT
ejpam-4689	424	5	q	q	PROPN
ejpam-4689	424	6	2	2	NUM
ejpam-4689	424	7	(	(	PUNCT
ejpam-4689	424	8	ap	ap	PROPN
ejpam-4689	424	9	−	−	PROPN
ejpam-4689	424	10	bpmp	bpmp	PROPN
ejpam-4689	424	11	)	)	PUNCT
ejpam-4689	425	1	+	+	NOUN
ejpam-4689	425	2	mpbp	mpbp	NOUN
ejpam-4689	425	3	)	)	PUNCT
ejpam-4689	425	4	1	1	NUM
ejpam-4689	425	5	p	p	NOUN
ejpam-4689	425	6	)	)	PUNCT
ejpam-4689	425	7	.	.	PUNCT
ejpam-4689	426	1	using	use	VERB
ejpam-4689	426	2	the	the	DET
ejpam-4689	426	3	similar	similar	ADJ
ejpam-4689	426	4	technique	technique	NOUN
ejpam-4689	426	5	on	on	ADP
ejpam-4689	426	6	the	the	DET
ejpam-4689	426	7	other	other	ADJ
ejpam-4689	426	8	integral	integral	NOUN
ejpam-4689	426	9	,	,	PUNCT
ejpam-4689	426	10	using	use	VERB
ejpam-4689	426	11	the	the	DET
ejpam-4689	426	12	substitution	substitution	NOUN
ejpam-4689	426	13	q	q	NOUN
ejpam-4689	427	1	+	+	CCONJ
ejpam-4689	427	2	tp	tp	PART
ejpam-4689	427	3	2	2	NUM
ejpam-4689	427	4	bp	bp	NOUN
ejpam-4689	427	5	+	+	CCONJ
ejpam-4689	427	6	(	(	PUNCT
ejpam-4689	427	7	1−	1−	NUM
ejpam-4689	427	8	q	q	NOUN
ejpam-4689	428	1	+	+	CCONJ
ejpam-4689	428	2	tp	tp	ADP
ejpam-4689	428	3	2	2	NUM
ejpam-4689	428	4	)	)	PUNCT
ejpam-4689	428	5	ap	ap	PROPN
ejpam-4689	428	6	mp	mp	PROPN
ejpam-4689	429	1	=	=	PUNCT
ejpam-4689	429	2	zp	zp	PROPN
ejpam-4689	429	3	we	we	PRON
ejpam-4689	429	4	get	get	VERB
ejpam-4689	429	5	∫	∫	PROPN
ejpam-4689	429	6	1	1	NUM
ejpam-4689	429	7	0	0	NUM
ejpam-4689	429	8	t	t	NOUN
ejpam-4689	429	9	θp	θp	ADP
ejpam-4689	429	10	k	k	PROPN
ejpam-4689	429	11	−1h	−1h	PROPN
ejpam-4689	429	12	(	(	PUNCT
ejpam-4689	429	13	1−	1−	NUM
ejpam-4689	429	14	1	1	NUM
ejpam-4689	429	15	2α	2α	NOUN
ejpam-4689	429	16	)	)	PUNCT
ejpam-4689	429	17	mpf	mpf	PROPN
ejpam-4689	429	18	(	(	PUNCT
ejpam-4689	429	19	(	(	PUNCT
ejpam-4689	429	20	q	q	PROPN
ejpam-4689	429	21	+	+	CCONJ
ejpam-4689	429	22	tp	tp	PART
ejpam-4689	429	23	2	2	NUM
ejpam-4689	429	24	bp	bp	NOUN
ejpam-4689	429	25	+	+	CCONJ
ejpam-4689	429	26	(	(	PUNCT
ejpam-4689	429	27	1−	1−	NUM
ejpam-4689	429	28	q	q	NOUN
ejpam-4689	430	1	+	+	CCONJ
ejpam-4689	430	2	tp	tp	ADP
ejpam-4689	430	3	2	2	NUM
ejpam-4689	430	4	)	)	PUNCT
ejpam-4689	430	5	ap	ap	PROPN
ejpam-4689	430	6	mp	mp	PROPN
ejpam-4689	430	7	)	)	PUNCT
ejpam-4689	430	8	1	1	NUM
ejpam-4689	430	9	p	p	NOUN
ejpam-4689	430	10	)	)	PUNCT
ejpam-4689	430	11	dt	dt	PROPN
ejpam-4689	431	1	=	=	SYM
ejpam-4689	431	2	∫	∫	PROPN
ejpam-4689	431	3	(	(	PUNCT
ejpam-4689	431	4	q	q	PROPN
ejpam-4689	431	5	2	2	NUM
ejpam-4689	431	6	(	(	PUNCT
ejpam-4689	431	7	bp−	bp−	NUM
ejpam-4689	431	8	ap	ap	PROPN
ejpam-4689	431	9	mp	mp	PROPN
ejpam-4689	431	10	)	)	PUNCT
ejpam-4689	432	1	+	+	CCONJ
ejpam-4689	432	2	ap	ap	PROPN
ejpam-4689	432	3	2mp+	2mp+	NUM
ejpam-4689	432	4	bp	bp	PROPN
ejpam-4689	432	5	2	2	NUM
ejpam-4689	432	6	)	)	PUNCT
ejpam-4689	432	7	1	1	NUM
ejpam-4689	432	8	p	p	NOUN
ejpam-4689	432	9	(	(	PUNCT
ejpam-4689	432	10	q	q	PROPN
ejpam-4689	432	11	2(bp−	2(bp−	NUM
ejpam-4689	432	12	ap	ap	PROPN
ejpam-4689	432	13	mp	mp	PROPN
ejpam-4689	432	14	)	)	PUNCT
ejpam-4689	433	1	+	+	CCONJ
ejpam-4689	433	2	ap	ap	PROPN
ejpam-4689	433	3	mp	mp	PROPN
ejpam-4689	433	4	)	)	PUNCT
ejpam-4689	433	5	1	1	NUM
ejpam-4689	433	6	p	p	NOUN
ejpam-4689	433	7	f(z	f(z	PROPN
ejpam-4689	433	8	)	)	PUNCT
ejpam-4689	433	9	(	(	PUNCT
ejpam-4689	434	1	zp	zp	NOUN
ejpam-4689	434	2	−	−	PROPN
ejpam-4689	434	3	q	q	PROPN
ejpam-4689	434	4	2	2	NUM
ejpam-4689	434	5	(	(	PUNCT
ejpam-4689	434	6	bp	bp	PROPN
ejpam-4689	434	7	−	−	PROPN
ejpam-4689	434	8	ap	ap	PROPN
ejpam-4689	434	9	mp	mp	PROPN
ejpam-4689	434	10	)	)	PUNCT
ejpam-4689	435	1	−	−	PROPN
ejpam-4689	435	2	ap	ap	PROPN
ejpam-4689	435	3	mp	mp	PROPN
ejpam-4689	435	4	)	)	PUNCT
ejpam-4689	436	1	θ	θ	PROPN
ejpam-4689	436	2	k	k	PUNCT
ejpam-4689	436	3	·	·	PUNCT
ejpam-4689	436	4	2	2	NUM
ejpam-4689	436	5	θ	θ	NOUN
ejpam-4689	436	6	km	km	NOUN
ejpam-4689	436	7	θp	θp	ADP
ejpam-4689	436	8	k	k	X
ejpam-4689	436	9	(	(	PUNCT
ejpam-4689	436	10	mpbp	mpbp	PROPN
ejpam-4689	436	11	−	−	PROPN
ejpam-4689	436	12	ap	ap	PROPN
ejpam-4689	436	13	)	)	PUNCT
ejpam-4689	437	1	θ	θ	PROPN
ejpam-4689	438	1	k	k	PROPN
ejpam-4689	438	2	.	.	PUNCT
ejpam-4689	439	1	which	which	PRON
ejpam-4689	439	2	can	can	AUX
ejpam-4689	439	3	be	be	AUX
ejpam-4689	439	4	seen	see	VERB
ejpam-4689	439	5	to	to	PART
ejpam-4689	439	6	be	be	AUX
ejpam-4689	439	7	of	of	ADP
ejpam-4689	439	8	the	the	DET
ejpam-4689	439	9	k−	k−	PROPN
ejpam-4689	439	10	p	p	PROPN
ejpam-4689	439	11	riemann	riemann	PROPN
ejpam-4689	439	12	liouville	liouville	VERB
ejpam-4689	439	13	integral	integral	ADJ
ejpam-4689	439	14	form	form	NOUN
ejpam-4689	439	15	,	,	PUNCT
ejpam-4689	439	16	therefore	therefore	ADV
ejpam-4689	439	17	we	we	PRON
ejpam-4689	439	18	obtain	obtain	VERB
ejpam-4689	439	19	∫	∫	PROPN
ejpam-4689	439	20	(	(	PUNCT
ejpam-4689	439	21	q	q	PROPN
ejpam-4689	439	22	2	2	NUM
ejpam-4689	439	23	(	(	PUNCT
ejpam-4689	439	24	bp−	bp−	NUM
ejpam-4689	439	25	ap	ap	PROPN
ejpam-4689	439	26	mp	mp	PROPN
ejpam-4689	439	27	)	)	PUNCT
ejpam-4689	440	1	+	+	CCONJ
ejpam-4689	440	2	ap	ap	PROPN
ejpam-4689	440	3	2mp+	2mp+	NUM
ejpam-4689	440	4	bp	bp	PROPN
ejpam-4689	440	5	2	2	NUM
ejpam-4689	440	6	)	)	PUNCT
ejpam-4689	440	7	1	1	NUM
ejpam-4689	440	8	p	p	NOUN
ejpam-4689	440	9	(	(	PUNCT
ejpam-4689	440	10	q	q	PROPN
ejpam-4689	440	11	2(bp−	2(bp−	NUM
ejpam-4689	440	12	ap	ap	PROPN
ejpam-4689	440	13	mp	mp	PROPN
ejpam-4689	440	14	)	)	PUNCT
ejpam-4689	441	1	+	+	CCONJ
ejpam-4689	441	2	ap	ap	PROPN
ejpam-4689	441	3	mp	mp	PROPN
ejpam-4689	441	4	)	)	PUNCT
ejpam-4689	441	5	1	1	NUM
ejpam-4689	441	6	p	p	NOUN
ejpam-4689	441	7	f(z	f(z	PROPN
ejpam-4689	441	8	)	)	PUNCT
ejpam-4689	441	9	(	(	PUNCT
ejpam-4689	442	1	zp	zp	NOUN
ejpam-4689	442	2	−	−	PROPN
ejpam-4689	442	3	q	q	PROPN
ejpam-4689	442	4	2	2	NUM
ejpam-4689	442	5	(	(	PUNCT
ejpam-4689	442	6	bp	bp	PROPN
ejpam-4689	442	7	−	−	PROPN
ejpam-4689	442	8	ap	ap	PROPN
ejpam-4689	442	9	mp	mp	PROPN
ejpam-4689	442	10	)	)	PUNCT
ejpam-4689	443	1	−	−	PROPN
ejpam-4689	443	2	ap	ap	PROPN
ejpam-4689	443	3	mp	mp	PROPN
ejpam-4689	443	4	)	)	PUNCT
ejpam-4689	444	1	θ	θ	PROPN
ejpam-4689	444	2	k	k	PUNCT
ejpam-4689	444	3	·	·	PUNCT
ejpam-4689	444	4	2	2	NUM
ejpam-4689	444	5	θ	θ	NOUN
ejpam-4689	444	6	km	km	NOUN
ejpam-4689	444	7	θp	θp	ADP
ejpam-4689	444	8	k	k	X
ejpam-4689	444	9	(	(	PUNCT
ejpam-4689	444	10	mpbp	mpbp	PROPN
ejpam-4689	444	11	−	−	PROPN
ejpam-4689	444	12	ap	ap	PROPN
ejpam-4689	444	13	)	)	PUNCT
ejpam-4689	445	1	θ	θ	PROPN
ejpam-4689	446	1	k	k	NOUN
ejpam-4689	447	1	=	=	SYM
ejpam-4689	447	2	2	2	NUM
ejpam-4689	447	3	θ	θ	NOUN
ejpam-4689	447	4	km	km	NOUN
ejpam-4689	447	5	pθ	pθ	ADP
ejpam-4689	447	6	k	k	PROPN
ejpam-4689	447	7	kγk(θ	kγk(θ	PROPN
ejpam-4689	447	8	)	)	PUNCT
ejpam-4689	447	9	p1−	p1−	PROPN
ejpam-4689	447	10	θ	θ	X
ejpam-4689	447	11	k	k	PROPN
ejpam-4689	447	12	(	(	PUNCT
ejpam-4689	447	13	bpmp	bpmp	PROPN
ejpam-4689	447	14	−	−	PROPN
ejpam-4689	447	15	ap	ap	PROPN
ejpam-4689	447	16	)	)	PUNCT
ejpam-4689	447	17	θ	θ	PROPN
ejpam-4689	448	1	k	k	PROPN
ejpam-4689	448	2	p−1	p−1	PROPN
ejpam-4689	448	3	k	k	PROPN
ejpam-4689	448	4	jθ	jθ	PROPN
ejpam-4689	448	5	(	(	PUNCT
ejpam-4689	448	6	(	(	PUNCT
ejpam-4689	448	7	q	q	PROPN
ejpam-4689	448	8	2	2	NUM
ejpam-4689	448	9	(	(	PUNCT
ejpam-4689	448	10	bp−	bp−	NUM
ejpam-4689	448	11	ap	ap	PROPN
ejpam-4689	448	12	mp	mp	PROPN
ejpam-4689	448	13	)	)	PUNCT
ejpam-4689	448	14	+	+	CCONJ
ejpam-4689	448	15	ap	ap	PROPN
ejpam-4689	448	16	2mp+	2mp+	NUM
ejpam-4689	448	17	bp	bp	PROPN
ejpam-4689	448	18	2	2	NUM
ejpam-4689	448	19	)	)	PUNCT
ejpam-4689	448	20	1	1	NUM
ejpam-4689	448	21	p	p	NOUN
ejpam-4689	448	22	)	)	PUNCT
ejpam-4689	449	1	+	+	NOUN
ejpam-4689	449	2	f	f	X
ejpam-4689	449	3	(	(	PUNCT
ejpam-4689	449	4	(	(	PUNCT
ejpam-4689	449	5	q	q	PROPN
ejpam-4689	449	6	2	2	NUM
ejpam-4689	449	7	(	(	PUNCT
ejpam-4689	449	8	bp	bp	PROPN
ejpam-4689	449	9	−	−	PROPN
ejpam-4689	449	10	ap	ap	PROPN
ejpam-4689	449	11	mp	mp	PROPN
ejpam-4689	449	12	)	)	PUNCT
ejpam-4689	450	1	+	+	CCONJ
ejpam-4689	450	2	ap	ap	PROPN
ejpam-4689	450	3	mp	mp	PROPN
ejpam-4689	450	4	)	)	PUNCT
ejpam-4689	450	5	1	1	NUM
ejpam-4689	450	6	p	p	NOUN
ejpam-4689	450	7	)	)	PUNCT
ejpam-4689	450	8	.	.	PUNCT
ejpam-4689	451	1	v.	v.	ADP
ejpam-4689	451	2	stojiljković	stojiljković	NOUN
ejpam-4689	451	3	/	/	SYM
ejpam-4689	451	4	eur	eur	PROPN
ejpam-4689	451	5	.	.	PUNCT
ejpam-4689	452	1	j.	j.	PROPN
ejpam-4689	452	2	pure	pure	PROPN
ejpam-4689	452	3	appl	appl	PROPN
ejpam-4689	452	4	.	.	PROPN
ejpam-4689	452	5	math	math	PROPN
ejpam-4689	452	6	,	,	PUNCT
ejpam-4689	452	7	16	16	NUM
ejpam-4689	452	8	(	(	PUNCT
ejpam-4689	452	9	1	1	NUM
ejpam-4689	452	10	)	)	PUNCT
ejpam-4689	452	11	(	(	PUNCT
ejpam-4689	452	12	2023	2023	NUM
ejpam-4689	452	13	)	)	PUNCT
ejpam-4689	452	14	,	,	PUNCT
ejpam-4689	452	15	503	503	NUM
ejpam-4689	452	16	-	-	SYM
ejpam-4689	452	17	522	522	NUM
ejpam-4689	452	18	516	516	NUM
ejpam-4689	452	19	in	in	ADP
ejpam-4689	452	20	order	order	NOUN
ejpam-4689	452	21	to	to	PART
ejpam-4689	452	22	obtain	obtain	VERB
ejpam-4689	452	23	the	the	DET
ejpam-4689	452	24	right	right	ADJ
ejpam-4689	452	25	hand	hand	NOUN
ejpam-4689	452	26	side	side	NOUN
ejpam-4689	452	27	inequality	inequality	NOUN
ejpam-4689	452	28	,	,	PUNCT
ejpam-4689	452	29	we	we	PRON
ejpam-4689	452	30	use	use	VERB
ejpam-4689	452	31	the	the	DET
ejpam-4689	452	32	definition	definition	NOUN
ejpam-4689	452	33	of	of	ADP
ejpam-4689	452	34	the	the	DET
ejpam-4689	452	35	(	(	PUNCT
ejpam-4689	452	36	α	α	NOUN
ejpam-4689	452	37	,	,	PUNCT
ejpam-4689	452	38	h−m)−p	h−m)−p	PROPN
ejpam-4689	452	39	convex	convex	NOUN
ejpam-4689	452	40	function	function	NOUN
ejpam-4689	452	41	and	and	CCONJ
ejpam-4689	452	42	deduce	deduce	VERB
ejpam-4689	452	43	the	the	DET
ejpam-4689	452	44	following	follow	VERB
ejpam-4689	452	45	h	h	NOUN
ejpam-4689	452	46	(	(	PUNCT
ejpam-4689	452	47	1	1	NUM
ejpam-4689	452	48	2α	2α	NOUN
ejpam-4689	452	49	)	)	PUNCT
ejpam-4689	452	50	f	f	PROPN
ejpam-4689	453	1	(	(	PUNCT
ejpam-4689	453	2	(	(	PUNCT
ejpam-4689	453	3	q	q	X
ejpam-4689	453	4	+	+	CCONJ
ejpam-4689	453	5	tp	tp	PART
ejpam-4689	453	6	2	2	NUM
ejpam-4689	453	7	ap	ap	NOUN
ejpam-4689	453	8	+	+	CCONJ
ejpam-4689	453	9	(	(	PUNCT
ejpam-4689	453	10	1−	1−	NUM
ejpam-4689	453	11	q	q	NOUN
ejpam-4689	453	12	+	+	CCONJ
ejpam-4689	453	13	tp	tp	PART
ejpam-4689	453	14	2	2	NUM
ejpam-4689	453	15	)	)	PUNCT
ejpam-4689	453	16	bpmp	bpmp	NOUN
ejpam-4689	453	17	)	)	PUNCT
ejpam-4689	453	18	1	1	NUM
ejpam-4689	453	19	p	p	NOUN
ejpam-4689	453	20	)	)	PUNCT
ejpam-4689	454	1	+	+	NOUN
ejpam-4689	454	2	h	h	NOUN
ejpam-4689	454	3	(	(	PUNCT
ejpam-4689	454	4	1−	1−	NUM
ejpam-4689	454	5	1	1	NUM
ejpam-4689	454	6	2α	2α	NOUN
ejpam-4689	454	7	)	)	PUNCT
ejpam-4689	454	8	mpf	mpf	PROPN
ejpam-4689	454	9	(	(	PUNCT
ejpam-4689	454	10	(	(	PUNCT
ejpam-4689	454	11	q	q	PROPN
ejpam-4689	454	12	+	+	CCONJ
ejpam-4689	454	13	tp	tp	PART
ejpam-4689	454	14	2	2	NUM
ejpam-4689	454	15	bp	bp	NOUN
ejpam-4689	454	16	+	+	CCONJ
ejpam-4689	454	17	(	(	PUNCT
ejpam-4689	454	18	1−	1−	NUM
ejpam-4689	454	19	q	q	NOUN
ejpam-4689	455	1	+	+	CCONJ
ejpam-4689	455	2	tp	tp	ADP
ejpam-4689	455	3	2	2	NUM
ejpam-4689	455	4	)	)	PUNCT
ejpam-4689	455	5	ap	ap	PROPN
ejpam-4689	455	6	mp	mp	PROPN
ejpam-4689	455	7	)	)	PUNCT
ejpam-4689	455	8	1	1	NUM
ejpam-4689	455	9	p	p	NOUN
ejpam-4689	455	10	)	)	PUNCT
ejpam-4689	455	11	⩽	⩽	NOUN
ejpam-4689	455	12	(	(	PUNCT
ejpam-4689	455	13	(	(	PUNCT
ejpam-4689	455	14	h	h	NOUN
ejpam-4689	455	15	(	(	PUNCT
ejpam-4689	455	16	1	1	NUM
ejpam-4689	455	17	2α	2α	NOUN
ejpam-4689	455	18	)	)	PUNCT
ejpam-4689	455	19	f(a	f(a	NOUN
ejpam-4689	455	20	)	)	PUNCT
ejpam-4689	456	1	+	+	NUM
ejpam-4689	456	2	h	h	NOUN
ejpam-4689	456	3	(	(	PUNCT
ejpam-4689	456	4	1−	1−	NUM
ejpam-4689	456	5	1	1	NUM
ejpam-4689	456	6	2α	2α	NOUN
ejpam-4689	456	7	)	)	PUNCT
ejpam-4689	456	8	mpf(b	mpf(b	PROPN
ejpam-4689	456	9	)	)	PUNCT
ejpam-4689	456	10	)	)	PUNCT
ejpam-4689	457	1	h	h	NOUN
ejpam-4689	457	2	(	(	PUNCT
ejpam-4689	457	3	(	(	PUNCT
ejpam-4689	457	4	q	q	PROPN
ejpam-4689	458	1	+	+	CCONJ
ejpam-4689	458	2	tp	tp	ADP
ejpam-4689	458	3	2	2	NUM
ejpam-4689	458	4	)	)	PUNCT
ejpam-4689	458	5	l	l	NOUN
ejpam-4689	458	6	)	)	PUNCT
ejpam-4689	458	7	t	t	NOUN
ejpam-4689	458	8	θp	θp	ADP
ejpam-4689	458	9	k	k	PROPN
ejpam-4689	458	10	−1	−1	NOUN
ejpam-4689	458	11	)	)	PUNCT
ejpam-4689	459	1	+	+	CCONJ
ejpam-4689	459	2	(	(	PUNCT
ejpam-4689	459	3	(	(	PUNCT
ejpam-4689	459	4	h	h	NOUN
ejpam-4689	459	5	(	(	PUNCT
ejpam-4689	459	6	1	1	NUM
ejpam-4689	459	7	2α	2α	NOUN
ejpam-4689	459	8	)	)	PUNCT
ejpam-4689	459	9	f(b)mp	f(b)mp	ADP
ejpam-4689	460	1	+	+	NUM
ejpam-4689	460	2	h	h	PROPN
ejpam-4689	460	3	(	(	PUNCT
ejpam-4689	460	4	1−	1−	NUM
ejpam-4689	460	5	1	1	NUM
ejpam-4689	460	6	2α	2α	NOUN
ejpam-4689	460	7	)	)	PUNCT
ejpam-4689	460	8	f(a	f(a	PROPN
ejpam-4689	460	9	)	)	PUNCT
ejpam-4689	460	10	)	)	PUNCT
ejpam-4689	460	11	h	h	NOUN
ejpam-4689	460	12	(	(	PUNCT
ejpam-4689	460	13	1−	1−	NUM
ejpam-4689	460	14	(	(	PUNCT
ejpam-4689	460	15	q	q	PROPN
ejpam-4689	461	1	+	+	CCONJ
ejpam-4689	461	2	tp	tp	ADP
ejpam-4689	461	3	2	2	NUM
ejpam-4689	461	4	)	)	PUNCT
ejpam-4689	461	5	l	l	NOUN
ejpam-4689	461	6	)	)	PUNCT
ejpam-4689	461	7	t	t	NOUN
ejpam-4689	461	8	θp	θp	ADP
ejpam-4689	461	9	k	k	PROPN
ejpam-4689	461	10	−1	−1	NOUN
ejpam-4689	461	11	)	)	PUNCT
ejpam-4689	461	12	.	.	PUNCT
ejpam-4689	462	1	multiplying	multiply	VERB
ejpam-4689	462	2	the	the	DET
ejpam-4689	462	3	inequality	inequality	NOUN
ejpam-4689	462	4	with	with	ADP
ejpam-4689	462	5	t	t	PROPN
ejpam-4689	462	6	θp	θp	ADP
ejpam-4689	462	7	k	k	PROPN
ejpam-4689	462	8	−1	−1	NOUN
ejpam-4689	462	9	and	and	CCONJ
ejpam-4689	462	10	integrating	integrate	VERB
ejpam-4689	462	11	with	with	ADP
ejpam-4689	462	12	respect	respect	NOUN
ejpam-4689	462	13	to	to	ADP
ejpam-4689	462	14	t	t	NOUN
ejpam-4689	462	15	from	from	ADP
ejpam-4689	462	16	0	0	NUM
ejpam-4689	462	17	to	to	ADP
ejpam-4689	462	18	1	1	NUM
ejpam-4689	462	19	,	,	PUNCT
ejpam-4689	462	20	while	while	SCONJ
ejpam-4689	462	21	also	also	ADV
ejpam-4689	462	22	multiplying	multiply	VERB
ejpam-4689	462	23	everything	everything	PRON
ejpam-4689	462	24	with	with	ADP
ejpam-4689	462	25	the	the	DET
ejpam-4689	462	26	constant	constant	NOUN
ejpam-4689	462	27	from	from	ADP
ejpam-4689	462	28	the	the	DET
ejpam-4689	462	29	left	left	ADJ
ejpam-4689	462	30	hand	hand	NOUN
ejpam-4689	462	31	side	side	NOUN
ejpam-4689	462	32	,	,	PUNCT
ejpam-4689	462	33	we	we	PRON
ejpam-4689	462	34	obtain	obtain	VERB
ejpam-4689	462	35	the	the	DET
ejpam-4689	462	36	original	original	ADJ
ejpam-4689	462	37	inequality	inequality	NOUN
ejpam-4689	462	38	f	f	PROPN
ejpam-4689	462	39	(	(	PUNCT
ejpam-4689	462	40	[	[	PUNCT
ejpam-4689	462	41	ap	ap	PROPN
ejpam-4689	462	42	+	+	NOUN
ejpam-4689	462	43	mpbp	mpbp	NOUN
ejpam-4689	462	44	2	2	NUM
ejpam-4689	462	45	]	]	SYM
ejpam-4689	462	46	1	1	NUM
ejpam-4689	462	47	p	p	NOUN
ejpam-4689	462	48	)	)	PUNCT
ejpam-4689	462	49	⩽	⩽	ADJ
ejpam-4689	462	50	h	h	NOUN
ejpam-4689	462	51	(	(	PUNCT
ejpam-4689	462	52	1	1	NUM
ejpam-4689	462	53	2α	2α	NOUN
ejpam-4689	462	54	)	)	PUNCT
ejpam-4689	463	1	2	2	NUM
ejpam-4689	463	2	θ	θ	NOUN
ejpam-4689	463	3	k	k	NOUN
ejpam-4689	463	4	p	p	X
ejpam-4689	463	5	θ	θ	X
ejpam-4689	463	6	k	k	PROPN
ejpam-4689	463	7	θγk(θ	θγk(θ	PROPN
ejpam-4689	463	8	)	)	PUNCT
ejpam-4689	463	9	(	(	PUNCT
ejpam-4689	463	10	bpmp	bpmp	NOUN
ejpam-4689	463	11	−	−	PROPN
ejpam-4689	463	12	ap	ap	PROPN
ejpam-4689	463	13	)	)	PUNCT
ejpam-4689	464	1	θ	θ	PROPN
ejpam-4689	465	1	k	k	PROPN
ejpam-4689	465	2	p−1	p−1	PROPN
ejpam-4689	465	3	k	k	PROPN
ejpam-4689	465	4	jθ	jθ	PROPN
ejpam-4689	465	5	(	(	PUNCT
ejpam-4689	465	6	(	(	PUNCT
ejpam-4689	465	7	q	q	PROPN
ejpam-4689	465	8	2	2	NUM
ejpam-4689	465	9	(	(	PUNCT
ejpam-4689	465	10	ap−mpbp)+ap	ap−mpbp)+ap	VERB
ejpam-4689	465	11	2	2	NUM
ejpam-4689	465	12	+	+	NUM
ejpam-4689	465	13	bpmp	bpmp	NOUN
ejpam-4689	465	14	2	2	NUM
ejpam-4689	465	15	)	)	PUNCT
ejpam-4689	465	16	1	1	NUM
ejpam-4689	465	17	p	p	NOUN
ejpam-4689	465	18	)	)	PUNCT
ejpam-4689	466	1	+	+	NOUN
ejpam-4689	466	2	f	f	X
ejpam-4689	466	3	(	(	PUNCT
ejpam-4689	466	4	(	(	PUNCT
ejpam-4689	466	5	q	q	PROPN
ejpam-4689	466	6	2	2	NUM
ejpam-4689	466	7	(	(	PUNCT
ejpam-4689	466	8	ap	ap	PROPN
ejpam-4689	466	9	−	−	PROPN
ejpam-4689	466	10	bpmp	bpmp	PROPN
ejpam-4689	466	11	)	)	PUNCT
ejpam-4689	467	1	+	+	NOUN
ejpam-4689	467	2	mpbp	mpbp	NOUN
ejpam-4689	467	3	)	)	PUNCT
ejpam-4689	467	4	1	1	NUM
ejpam-4689	467	5	p	p	NOUN
ejpam-4689	467	6	)	)	PUNCT
ejpam-4689	468	1	+	+	CCONJ
ejpam-4689	468	2	h	h	NOUN
ejpam-4689	468	3	(	(	PUNCT
ejpam-4689	468	4	1−	1−	NUM
ejpam-4689	468	5	1	1	NUM
ejpam-4689	468	6	2α	2α	NOUN
ejpam-4689	468	7	)	)	PUNCT
ejpam-4689	468	8	mp+	mp+	PROPN
ejpam-4689	468	9	θp	θp	ADP
ejpam-4689	468	10	k	k	PROPN
ejpam-4689	468	11	2	2	NUM
ejpam-4689	468	12	θ	θ	NOUN
ejpam-4689	469	1	k	k	NOUN
ejpam-4689	469	2	p	p	X
ejpam-4689	469	3	θ	θ	X
ejpam-4689	469	4	k	k	PROPN
ejpam-4689	469	5	θγk(θ	θγk(θ	PROPN
ejpam-4689	469	6	)	)	PUNCT
ejpam-4689	469	7	(	(	PUNCT
ejpam-4689	469	8	bpmp	bpmp	NOUN
ejpam-4689	469	9	−	−	PROPN
ejpam-4689	469	10	ap	ap	PROPN
ejpam-4689	469	11	)	)	PUNCT
ejpam-4689	469	12	θ	θ	PROPN
ejpam-4689	470	1	k	k	PROPN
ejpam-4689	470	2	p−1	p−1	PROPN
ejpam-4689	470	3	k	k	PROPN
ejpam-4689	470	4	j	j	PROPN
ejpam-4689	470	5	(	(	PUNCT
ejpam-4689	470	6	(	(	PUNCT
ejpam-4689	470	7	q	q	PROPN
ejpam-4689	470	8	2	2	NUM
ejpam-4689	470	9	(	(	PUNCT
ejpam-4689	470	10	bp−	bp−	NUM
ejpam-4689	470	11	ap	ap	PROPN
ejpam-4689	470	12	mp	mp	PROPN
ejpam-4689	470	13	)	)	PUNCT
ejpam-4689	470	14	+	+	CCONJ
ejpam-4689	470	15	ap	ap	PROPN
ejpam-4689	470	16	2mp+	2mp+	NUM
ejpam-4689	470	17	bp	bp	PROPN
ejpam-4689	470	18	2	2	NUM
ejpam-4689	470	19	)	)	PUNCT
ejpam-4689	470	20	1	1	NUM
ejpam-4689	470	21	p	p	NOUN
ejpam-4689	470	22	)	)	PUNCT
ejpam-4689	470	23	−f	−f	NOUN
ejpam-4689	470	24	(	(	PUNCT
ejpam-4689	470	25	(	(	PUNCT
ejpam-4689	470	26	q	q	PROPN
ejpam-4689	470	27	2	2	NUM
ejpam-4689	470	28	(	(	PUNCT
ejpam-4689	470	29	bp	bp	PROPN
ejpam-4689	470	30	−	−	PROPN
ejpam-4689	470	31	ap	ap	PROPN
ejpam-4689	470	32	mp	mp	PROPN
ejpam-4689	470	33	)	)	PUNCT
ejpam-4689	471	1	+	+	CCONJ
ejpam-4689	471	2	ap	ap	PROPN
ejpam-4689	471	3	mp	mp	PROPN
ejpam-4689	471	4	)	)	PUNCT
ejpam-4689	471	5	1	1	NUM
ejpam-4689	471	6	p	p	NOUN
ejpam-4689	471	7	)	)	PUNCT
ejpam-4689	471	8	⩽	⩽	NOUN
ejpam-4689	471	9	(	(	PUNCT
ejpam-4689	471	10	(	(	PUNCT
ejpam-4689	471	11	h	h	NOUN
ejpam-4689	471	12	(	(	PUNCT
ejpam-4689	471	13	1	1	NUM
ejpam-4689	471	14	2α	2α	NOUN
ejpam-4689	471	15	)	)	PUNCT
ejpam-4689	471	16	f(a	f(a	NOUN
ejpam-4689	471	17	)	)	PUNCT
ejpam-4689	472	1	+	+	NUM
ejpam-4689	472	2	h	h	NOUN
ejpam-4689	472	3	(	(	PUNCT
ejpam-4689	472	4	1−	1−	NUM
ejpam-4689	472	5	1	1	NUM
ejpam-4689	472	6	2α	2α	NOUN
ejpam-4689	472	7	)	)	PUNCT
ejpam-4689	472	8	mpf(b	mpf(b	PROPN
ejpam-4689	472	9	)	)	PUNCT
ejpam-4689	472	10	)	)	PUNCT
ejpam-4689	473	1	∫	∫	PROPN
ejpam-4689	473	2	1	1	NUM
ejpam-4689	473	3	0	0	NUM
ejpam-4689	473	4	h	h	NOUN
ejpam-4689	473	5	(	(	PUNCT
ejpam-4689	473	6	(	(	PUNCT
ejpam-4689	473	7	q	q	PROPN
ejpam-4689	474	1	+	+	CCONJ
ejpam-4689	474	2	tp	tp	ADP
ejpam-4689	474	3	2	2	NUM
ejpam-4689	474	4	)	)	PUNCT
ejpam-4689	474	5	l	l	NOUN
ejpam-4689	474	6	)	)	PUNCT
ejpam-4689	474	7	t	t	NOUN
ejpam-4689	474	8	θp	θp	ADP
ejpam-4689	474	9	k	k	PROPN
ejpam-4689	474	10	−1dt	−1dt	PROPN
ejpam-4689	474	11	)	)	PUNCT
ejpam-4689	474	12	θp	θp	ADP
ejpam-4689	474	13	k	k	PROPN
ejpam-4689	475	1	+	+	CCONJ
ejpam-4689	475	2	(	(	PUNCT
ejpam-4689	475	3	(	(	PUNCT
ejpam-4689	475	4	h	h	NOUN
ejpam-4689	475	5	(	(	PUNCT
ejpam-4689	475	6	1	1	NUM
ejpam-4689	475	7	2α	2α	NOUN
ejpam-4689	475	8	)	)	PUNCT
ejpam-4689	475	9	f(b)mp	f(b)mp	ADP
ejpam-4689	476	1	+	+	NUM
ejpam-4689	476	2	h	h	PROPN
ejpam-4689	476	3	(	(	PUNCT
ejpam-4689	476	4	1−	1−	NUM
ejpam-4689	476	5	1	1	NUM
ejpam-4689	476	6	2α	2α	NOUN
ejpam-4689	476	7	)	)	PUNCT
ejpam-4689	476	8	f(a	f(a	PROPN
ejpam-4689	476	9	)	)	PUNCT
ejpam-4689	476	10	)	)	PUNCT
ejpam-4689	477	1	∫	∫	PROPN
ejpam-4689	477	2	1	1	NUM
ejpam-4689	477	3	0	0	NUM
ejpam-4689	477	4	h	h	NOUN
ejpam-4689	477	5	(	(	PUNCT
ejpam-4689	477	6	1−	1−	NUM
ejpam-4689	477	7	(	(	PUNCT
ejpam-4689	477	8	q	q	PROPN
ejpam-4689	478	1	+	+	CCONJ
ejpam-4689	478	2	tp	tp	ADP
ejpam-4689	478	3	2	2	NUM
ejpam-4689	478	4	)	)	PUNCT
ejpam-4689	478	5	l	l	NOUN
ejpam-4689	478	6	)	)	PUNCT
ejpam-4689	478	7	t	t	NOUN
ejpam-4689	478	8	θp	θp	ADP
ejpam-4689	478	9	k	k	PROPN
ejpam-4689	478	10	−1dt	−1dt	PROPN
ejpam-4689	478	11	)	)	PUNCT
ejpam-4689	478	12	θp	θp	ADP
ejpam-4689	478	13	k	k	PROPN
ejpam-4689	478	14	.	.	PUNCT
ejpam-4689	479	1	corollary	corollary	ADJ
ejpam-4689	479	2	5	5	NUM
ejpam-4689	479	3	.	.	PUNCT
ejpam-4689	480	1	setting	set	VERB
ejpam-4689	480	2	p	p	NOUN
ejpam-4689	480	3	=	=	ADJ
ejpam-4689	480	4	2	2	NUM
ejpam-4689	480	5	in	in	ADP
ejpam-4689	480	6	the	the	DET
ejpam-4689	480	7	previously	previously	ADV
ejpam-4689	480	8	derived	derive	VERB
ejpam-4689	480	9	theorem	theorem	NOUN
ejpam-4689	480	10	,	,	PUNCT
ejpam-4689	480	11	we	we	PRON
ejpam-4689	480	12	obtain	obtain	VERB
ejpam-4689	480	13	the	the	DET
ejpam-4689	480	14	following	follow	VERB
ejpam-4689	480	15	new	new	ADJ
ejpam-4689	480	16	inequality	inequality	NOUN
ejpam-4689	480	17	f	f	PROPN
ejpam-4689	480	18	(	(	PUNCT
ejpam-4689	480	19	[	[	PUNCT
ejpam-4689	480	20	a2	a2	NOUN
ejpam-4689	480	21	+	+	NOUN
ejpam-4689	480	22	m2b2	m2b2	NOUN
ejpam-4689	480	23	2	2	NUM
ejpam-4689	480	24	]	]	SYM
ejpam-4689	480	25	1	1	NUM
ejpam-4689	480	26	2	2	NUM
ejpam-4689	480	27	)	)	PUNCT
ejpam-4689	481	1	⩽	⩽	ADJ
ejpam-4689	481	2	h	h	NOUN
ejpam-4689	481	3	(	(	PUNCT
ejpam-4689	481	4	1	1	NUM
ejpam-4689	481	5	2α	2α	NOUN
ejpam-4689	481	6	)	)	PUNCT
ejpam-4689	481	7	2	2	NUM
ejpam-4689	481	8	θ	θ	SYM
ejpam-4689	481	9	k	k	NOUN
ejpam-4689	481	10	2	2	NUM
ejpam-4689	481	11	θ	θ	X
ejpam-4689	481	12	k	k	PROPN
ejpam-4689	481	13	θγk(θ	θγk(θ	PROPN
ejpam-4689	481	14	)	)	PUNCT
ejpam-4689	481	15	(	(	PUNCT
ejpam-4689	481	16	b2m2	b2m2	X
ejpam-4689	481	17	−	−	PROPN
ejpam-4689	481	18	a2	a2	PROPN
ejpam-4689	481	19	)	)	PUNCT
ejpam-4689	481	20	θ	θ	PROPN
ejpam-4689	482	1	k	k	PROPN
ejpam-4689	482	2	1	1	NUM
ejpam-4689	482	3	kj	kj	PROPN
ejpam-4689	482	4	θ	θ	PROPN
ejpam-4689	482	5	(	(	PUNCT
ejpam-4689	482	6	(	(	PUNCT
ejpam-4689	482	7	q	q	PROPN
ejpam-4689	482	8	2	2	NUM
ejpam-4689	482	9	(	(	PUNCT
ejpam-4689	482	10	a2−m2b2)+a2	a2−m2b2)+a2	PROPN
ejpam-4689	482	11	2	2	NUM
ejpam-4689	482	12	+	+	CCONJ
ejpam-4689	482	13	b2m2	b2m2	PROPN
ejpam-4689	482	14	2	2	NUM
ejpam-4689	482	15	)	)	PUNCT
ejpam-4689	482	16	1	1	NUM
ejpam-4689	482	17	2	2	NUM
ejpam-4689	482	18	)	)	PUNCT
ejpam-4689	483	1	+	+	NOUN
ejpam-4689	483	2	f	f	X
ejpam-4689	483	3	(	(	PUNCT
ejpam-4689	483	4	(	(	PUNCT
ejpam-4689	483	5	q	q	PROPN
ejpam-4689	483	6	2	2	NUM
ejpam-4689	483	7	(	(	PUNCT
ejpam-4689	483	8	a2	a2	PROPN
ejpam-4689	483	9	−	−	PROPN
ejpam-4689	483	10	b2m2	b2m2	NOUN
ejpam-4689	483	11	)	)	PUNCT
ejpam-4689	483	12	+	+	NOUN
ejpam-4689	483	13	m2b2	m2b2	X
ejpam-4689	483	14	)	)	PUNCT
ejpam-4689	483	15	1	1	NUM
ejpam-4689	483	16	2	2	NUM
ejpam-4689	483	17	)	)	PUNCT
ejpam-4689	484	1	+	+	CCONJ
ejpam-4689	484	2	h	h	NOUN
ejpam-4689	484	3	(	(	PUNCT
ejpam-4689	484	4	1−	1−	NUM
ejpam-4689	484	5	1	1	NUM
ejpam-4689	484	6	2α	2α	NOUN
ejpam-4689	484	7	)	)	PUNCT
ejpam-4689	485	1	m2	m2	PROPN
ejpam-4689	485	2	+	+	CCONJ
ejpam-4689	485	3	2θ	2θ	NUM
ejpam-4689	485	4	k	k	NOUN
ejpam-4689	485	5	2	2	NUM
ejpam-4689	485	6	θ	θ	SYM
ejpam-4689	485	7	k	k	NOUN
ejpam-4689	485	8	2	2	NUM
ejpam-4689	485	9	θ	θ	X
ejpam-4689	485	10	k	k	PROPN
ejpam-4689	485	11	θγk(θ	θγk(θ	PROPN
ejpam-4689	485	12	)	)	PUNCT
ejpam-4689	485	13	(	(	PUNCT
ejpam-4689	485	14	b2m2	b2m2	X
ejpam-4689	485	15	−	−	PROPN
ejpam-4689	485	16	a2	a2	PROPN
ejpam-4689	485	17	)	)	PUNCT
ejpam-4689	485	18	θ	θ	PROPN
ejpam-4689	486	1	k	k	PROPN
ejpam-4689	486	2	1	1	NUM
ejpam-4689	486	3	kj	kj	PROPN
ejpam-4689	486	4	(	(	PUNCT
ejpam-4689	486	5	(	(	PUNCT
ejpam-4689	486	6	q	q	PROPN
ejpam-4689	486	7	2	2	NUM
ejpam-4689	486	8	(	(	PUNCT
ejpam-4689	486	9	b2−	b2−	PROPN
ejpam-4689	486	10	a2	a2	PROPN
ejpam-4689	486	11	m2	m2	PROPN
ejpam-4689	486	12	)	)	PUNCT
ejpam-4689	487	1	+	+	NUM
ejpam-4689	487	2	a2	a2	PROPN
ejpam-4689	487	3	2m2	2m2	NUM
ejpam-4689	487	4	+	+	NUM
ejpam-4689	487	5	b2	b2	NOUN
ejpam-4689	487	6	2	2	NUM
ejpam-4689	487	7	)	)	PUNCT
ejpam-4689	487	8	1	1	NUM
ejpam-4689	487	9	2	2	NUM
ejpam-4689	487	10	)	)	PUNCT
ejpam-4689	487	11	−f	−f	NOUN
ejpam-4689	487	12	(	(	PUNCT
ejpam-4689	487	13	(	(	PUNCT
ejpam-4689	487	14	q	q	PROPN
ejpam-4689	487	15	2	2	NUM
ejpam-4689	487	16	(	(	PUNCT
ejpam-4689	487	17	b2	b2	NOUN
ejpam-4689	487	18	−	−	PROPN
ejpam-4689	487	19	a2	a2	PROPN
ejpam-4689	487	20	m2	m2	PROPN
ejpam-4689	487	21	)	)	PUNCT
ejpam-4689	488	1	+	+	NUM
ejpam-4689	488	2	a2	a2	PROPN
ejpam-4689	488	3	m2	m2	PROPN
ejpam-4689	488	4	)	)	PUNCT
ejpam-4689	488	5	1	1	NUM
ejpam-4689	488	6	2	2	NUM
ejpam-4689	488	7	)	)	PUNCT
ejpam-4689	488	8	v.	v.	ADP
ejpam-4689	488	9	stojiljković	stojiljković	NOUN
ejpam-4689	488	10	/	/	SYM
ejpam-4689	488	11	eur	eur	PROPN
ejpam-4689	488	12	.	.	PUNCT
ejpam-4689	489	1	j.	j.	PROPN
ejpam-4689	489	2	pure	pure	PROPN
ejpam-4689	489	3	appl	appl	PROPN
ejpam-4689	489	4	.	.	PROPN
ejpam-4689	489	5	math	math	PROPN
ejpam-4689	489	6	,	,	PUNCT
ejpam-4689	489	7	16	16	NUM
ejpam-4689	489	8	(	(	PUNCT
ejpam-4689	489	9	1	1	NUM
ejpam-4689	489	10	)	)	PUNCT
ejpam-4689	489	11	(	(	PUNCT
ejpam-4689	489	12	2023	2023	NUM
ejpam-4689	489	13	)	)	PUNCT
ejpam-4689	489	14	,	,	PUNCT
ejpam-4689	489	15	503	503	NUM
ejpam-4689	489	16	-	-	SYM
ejpam-4689	489	17	522	522	NUM
ejpam-4689	489	18	517	517	NUM
ejpam-4689	489	19	⩽	⩽	NOUN
ejpam-4689	489	20	(	(	PUNCT
ejpam-4689	489	21	(	(	PUNCT
ejpam-4689	489	22	h	h	NOUN
ejpam-4689	489	23	(	(	PUNCT
ejpam-4689	489	24	1	1	NUM
ejpam-4689	489	25	2α	2α	NOUN
ejpam-4689	489	26	)	)	PUNCT
ejpam-4689	489	27	f(a	f(a	NOUN
ejpam-4689	489	28	)	)	PUNCT
ejpam-4689	490	1	+	+	NUM
ejpam-4689	490	2	h	h	NOUN
ejpam-4689	490	3	(	(	PUNCT
ejpam-4689	490	4	1−	1−	NUM
ejpam-4689	490	5	1	1	NUM
ejpam-4689	490	6	2α	2α	NOUN
ejpam-4689	490	7	)	)	PUNCT
ejpam-4689	490	8	m2f(b	m2f(b	PROPN
ejpam-4689	490	9	)	)	PUNCT
ejpam-4689	490	10	)	)	PUNCT
ejpam-4689	491	1	∫	∫	PROPN
ejpam-4689	491	2	1	1	NUM
ejpam-4689	491	3	0	0	NUM
ejpam-4689	491	4	h	h	NOUN
ejpam-4689	491	5	(	(	PUNCT
ejpam-4689	491	6	(	(	PUNCT
ejpam-4689	491	7	q	q	SYM
ejpam-4689	491	8	+	+	NUM
ejpam-4689	491	9	t2	t2	NOUN
ejpam-4689	491	10	2	2	NUM
ejpam-4689	491	11	)	)	PUNCT
ejpam-4689	491	12	l	l	NOUN
ejpam-4689	491	13	)	)	PUNCT
ejpam-4689	492	1	t	t	NOUN
ejpam-4689	492	2	2θ	2θ	NUM
ejpam-4689	493	1	k	k	PROPN
ejpam-4689	493	2	−1dt	−1dt	PROPN
ejpam-4689	493	3	)	)	PUNCT
ejpam-4689	493	4	2θ	2θ	NUM
ejpam-4689	494	1	k	k	NOUN
ejpam-4689	494	2	+	+	CCONJ
ejpam-4689	494	3	(	(	PUNCT
ejpam-4689	494	4	(	(	PUNCT
ejpam-4689	494	5	h	h	NOUN
ejpam-4689	494	6	(	(	PUNCT
ejpam-4689	494	7	1	1	NUM
ejpam-4689	494	8	2α	2α	NOUN
ejpam-4689	494	9	)	)	PUNCT
ejpam-4689	494	10	f(b)m2	f(b)m2	NOUN
ejpam-4689	494	11	+	+	CCONJ
ejpam-4689	494	12	h	h	PROPN
ejpam-4689	495	1	(	(	PUNCT
ejpam-4689	495	2	1−	1−	NUM
ejpam-4689	495	3	1	1	NUM
ejpam-4689	495	4	2α	2α	NOUN
ejpam-4689	495	5	)	)	PUNCT
ejpam-4689	495	6	f(a	f(a	PROPN
ejpam-4689	495	7	)	)	PUNCT
ejpam-4689	495	8	)	)	PUNCT
ejpam-4689	496	1	∫	∫	PROPN
ejpam-4689	496	2	1	1	NUM
ejpam-4689	496	3	0	0	NUM
ejpam-4689	496	4	h	h	NOUN
ejpam-4689	496	5	(	(	PUNCT
ejpam-4689	496	6	1−	1−	NUM
ejpam-4689	496	7	(	(	PUNCT
ejpam-4689	496	8	q	q	NOUN
ejpam-4689	496	9	+	+	NUM
ejpam-4689	496	10	t2	t2	NOUN
ejpam-4689	496	11	2	2	NUM
ejpam-4689	496	12	)	)	PUNCT
ejpam-4689	496	13	l	l	NOUN
ejpam-4689	496	14	)	)	PUNCT
ejpam-4689	497	1	t	t	NOUN
ejpam-4689	497	2	2θ	2θ	NUM
ejpam-4689	498	1	k	k	PROPN
ejpam-4689	498	2	−1dt	−1dt	PROPN
ejpam-4689	498	3	)	)	PUNCT
ejpam-4689	498	4	2θ	2θ	NUM
ejpam-4689	498	5	k	k	X
ejpam-4689	498	6	.	.	PUNCT
ejpam-4689	499	1	corollary	corollary	ADJ
ejpam-4689	499	2	6	6	NUM
ejpam-4689	499	3	.	.	PUNCT
ejpam-4689	500	1	setting	set	VERB
ejpam-4689	500	2	p	p	NOUN
ejpam-4689	500	3	=	=	SYM
ejpam-4689	500	4	7	7	NUM
ejpam-4689	500	5	,	,	PUNCT
ejpam-4689	500	6	l	l	NOUN
ejpam-4689	500	7	,	,	PUNCT
ejpam-4689	500	8	α	α	NOUN
ejpam-4689	500	9	=	=	SYM
ejpam-4689	500	10	3	3	NUM
ejpam-4689	500	11	in	in	ADP
ejpam-4689	500	12	the	the	DET
ejpam-4689	500	13	previously	previously	ADV
ejpam-4689	500	14	derived	derive	VERB
ejpam-4689	500	15	theorem	theorem	NOUN
ejpam-4689	500	16	,	,	PUNCT
ejpam-4689	500	17	we	we	PRON
ejpam-4689	500	18	obtain	obtain	VERB
ejpam-4689	500	19	a	a	DET
ejpam-4689	500	20	new	new	ADJ
ejpam-4689	500	21	inequality	inequality	NOUN
ejpam-4689	500	22	as	as	ADP
ejpam-4689	500	23	a	a	DET
ejpam-4689	500	24	consequence	consequence	NOUN
ejpam-4689	500	25	f	f	X
ejpam-4689	500	26	(	(	PUNCT
ejpam-4689	500	27	[	[	PUNCT
ejpam-4689	500	28	a7	a7	VERB
ejpam-4689	500	29	+	+	NOUN
ejpam-4689	500	30	m7b7	m7b7	NOUN
ejpam-4689	500	31	2	2	NUM
ejpam-4689	500	32	]	]	SYM
ejpam-4689	500	33	1	1	NUM
ejpam-4689	500	34	7	7	NUM
ejpam-4689	500	35	)	)	PUNCT
ejpam-4689	500	36	⩽	⩽	ADJ
ejpam-4689	500	37	h	h	NOUN
ejpam-4689	501	1	(	(	PUNCT
ejpam-4689	501	2	1	1	NUM
ejpam-4689	501	3	23	23	NUM
ejpam-4689	501	4	)	)	PUNCT
ejpam-4689	501	5	2	2	NUM
ejpam-4689	501	6	θ	θ	SYM
ejpam-4689	501	7	k	k	NOUN
ejpam-4689	501	8	7	7	NUM
ejpam-4689	501	9	θ	θ	X
ejpam-4689	501	10	k	k	PROPN
ejpam-4689	501	11	θγk(θ	θγk(θ	PROPN
ejpam-4689	501	12	)	)	PUNCT
ejpam-4689	501	13	(	(	PUNCT
ejpam-4689	501	14	b7m7	b7m7	ADP
ejpam-4689	501	15	−	−	PROPN
ejpam-4689	501	16	a7	a7	PROPN
ejpam-4689	501	17	)	)	PUNCT
ejpam-4689	502	1	θ	θ	PROPN
ejpam-4689	502	2	k	k	PROPN
ejpam-4689	502	3	6	6	NUM
ejpam-4689	502	4	kj	kj	PROPN
ejpam-4689	502	5	θ	θ	PROPN
ejpam-4689	502	6	(	(	PUNCT
ejpam-4689	502	7	(	(	PUNCT
ejpam-4689	502	8	q	q	PROPN
ejpam-4689	502	9	2	2	NUM
ejpam-4689	502	10	(	(	PUNCT
ejpam-4689	502	11	a7−m7b7)+a7	a7−m7b7)+a7	PROPN
ejpam-4689	502	12	2	2	NUM
ejpam-4689	502	13	+	+	CCONJ
ejpam-4689	502	14	b7m7	b7m7	ADP
ejpam-4689	502	15	2	2	NUM
ejpam-4689	502	16	)	)	PUNCT
ejpam-4689	502	17	1	1	NUM
ejpam-4689	502	18	7	7	NUM
ejpam-4689	502	19	)	)	PUNCT
ejpam-4689	503	1	+	+	NOUN
ejpam-4689	503	2	f	f	X
ejpam-4689	503	3	(	(	PUNCT
ejpam-4689	503	4	(	(	PUNCT
ejpam-4689	503	5	q	q	PROPN
ejpam-4689	503	6	2	2	NUM
ejpam-4689	503	7	(	(	PUNCT
ejpam-4689	503	8	a7	a7	NOUN
ejpam-4689	503	9	−	−	PROPN
ejpam-4689	503	10	b7m7	b7m7	NOUN
ejpam-4689	503	11	)	)	PUNCT
ejpam-4689	504	1	+	+	NOUN
ejpam-4689	504	2	m7b7	m7b7	NOUN
ejpam-4689	504	3	)	)	PUNCT
ejpam-4689	504	4	1	1	NUM
ejpam-4689	504	5	7	7	NUM
ejpam-4689	504	6	)	)	PUNCT
ejpam-4689	505	1	+	+	CCONJ
ejpam-4689	505	2	h	h	NOUN
ejpam-4689	505	3	(	(	PUNCT
ejpam-4689	505	4	1−	1−	NUM
ejpam-4689	505	5	1	1	NUM
ejpam-4689	505	6	23	23	NUM
ejpam-4689	505	7	)	)	PUNCT
ejpam-4689	505	8	m7	m7	PROPN
ejpam-4689	505	9	+	+	SYM
ejpam-4689	505	10	7θ	7θ	NOUN
ejpam-4689	505	11	k	k	NOUN
ejpam-4689	505	12	2	2	NUM
ejpam-4689	505	13	θ	θ	NOUN
ejpam-4689	505	14	k	k	NOUN
ejpam-4689	505	15	7	7	NUM
ejpam-4689	505	16	θ	θ	X
ejpam-4689	505	17	k	k	PROPN
ejpam-4689	505	18	θγk(θ	θγk(θ	PROPN
ejpam-4689	505	19	)	)	PUNCT
ejpam-4689	505	20	(	(	PUNCT
ejpam-4689	505	21	b7m7	b7m7	ADP
ejpam-4689	505	22	−	−	PROPN
ejpam-4689	505	23	a7	a7	PROPN
ejpam-4689	505	24	)	)	PUNCT
ejpam-4689	506	1	θ	θ	PROPN
ejpam-4689	506	2	k	k	PROPN
ejpam-4689	506	3	6	6	NUM
ejpam-4689	506	4	kj	kj	NOUN
ejpam-4689	506	5	(	(	PUNCT
ejpam-4689	506	6	(	(	PUNCT
ejpam-4689	506	7	q	q	PROPN
ejpam-4689	506	8	2	2	NUM
ejpam-4689	506	9	(	(	PUNCT
ejpam-4689	506	10	b7−	b7−	PROPN
ejpam-4689	506	11	a7	a7	PROPN
ejpam-4689	506	12	m7	m7	PROPN
ejpam-4689	506	13	)	)	PUNCT
ejpam-4689	506	14	+	+	CCONJ
ejpam-4689	507	1	a7	a7	PROPN
ejpam-4689	507	2	2m7	2m7	NUM
ejpam-4689	507	3	+	+	CCONJ
ejpam-4689	507	4	b7	b7	PROPN
ejpam-4689	507	5	2	2	NUM
ejpam-4689	507	6	)	)	PUNCT
ejpam-4689	507	7	1	1	NUM
ejpam-4689	507	8	7	7	NUM
ejpam-4689	507	9	)	)	PUNCT
ejpam-4689	507	10	−f	−f	NOUN
ejpam-4689	507	11	(	(	PUNCT
ejpam-4689	507	12	(	(	PUNCT
ejpam-4689	507	13	q	q	PROPN
ejpam-4689	507	14	2	2	NUM
ejpam-4689	507	15	(	(	PUNCT
ejpam-4689	507	16	b7	b7	PROPN
ejpam-4689	507	17	−	−	PROPN
ejpam-4689	507	18	a7	a7	PROPN
ejpam-4689	507	19	m7	m7	PROPN
ejpam-4689	507	20	)	)	PUNCT
ejpam-4689	508	1	+	+	CCONJ
ejpam-4689	508	2	a7	a7	PROPN
ejpam-4689	508	3	m7	m7	PROPN
ejpam-4689	508	4	)	)	PUNCT
ejpam-4689	508	5	1	1	NUM
ejpam-4689	508	6	7	7	NUM
ejpam-4689	508	7	)	)	PUNCT
ejpam-4689	508	8	⩽	⩽	NOUN
ejpam-4689	508	9	(	(	PUNCT
ejpam-4689	508	10	(	(	PUNCT
ejpam-4689	508	11	h	h	NOUN
ejpam-4689	508	12	(	(	PUNCT
ejpam-4689	508	13	1	1	NUM
ejpam-4689	508	14	23	23	NUM
ejpam-4689	508	15	)	)	PUNCT
ejpam-4689	508	16	f(a	f(a	NOUN
ejpam-4689	508	17	)	)	PUNCT
ejpam-4689	509	1	+	+	NUM
ejpam-4689	509	2	h	h	NOUN
ejpam-4689	509	3	(	(	PUNCT
ejpam-4689	509	4	1−	1−	NUM
ejpam-4689	509	5	1	1	NUM
ejpam-4689	509	6	23	23	NUM
ejpam-4689	509	7	)	)	PUNCT
ejpam-4689	509	8	m7f(b	m7f(b	NOUN
ejpam-4689	509	9	)	)	PUNCT
ejpam-4689	509	10	)	)	PUNCT
ejpam-4689	510	1	∫	∫	PROPN
ejpam-4689	510	2	1	1	NUM
ejpam-4689	510	3	0	0	NUM
ejpam-4689	510	4	h	h	NOUN
ejpam-4689	510	5	(	(	PUNCT
ejpam-4689	510	6	(	(	PUNCT
ejpam-4689	510	7	q	q	SYM
ejpam-4689	510	8	+	+	NUM
ejpam-4689	510	9	t7	t7	PROPN
ejpam-4689	510	10	2	2	NUM
ejpam-4689	510	11	)	)	PUNCT
ejpam-4689	510	12	α	α	NOUN
ejpam-4689	510	13	)	)	PUNCT
ejpam-4689	510	14	t	t	NOUN
ejpam-4689	510	15	7θ	7θ	NOUN
ejpam-4689	510	16	k	k	PROPN
ejpam-4689	510	17	−1dt	−1dt	PRON
ejpam-4689	510	18	)	)	PUNCT
ejpam-4689	511	1	7θ	7θ	NOUN
ejpam-4689	511	2	k	k	NOUN
ejpam-4689	512	1	+	+	CCONJ
ejpam-4689	512	2	(	(	PUNCT
ejpam-4689	512	3	(	(	PUNCT
ejpam-4689	512	4	h	h	NOUN
ejpam-4689	512	5	(	(	PUNCT
ejpam-4689	512	6	1	1	NUM
ejpam-4689	512	7	23	23	NUM
ejpam-4689	512	8	)	)	PUNCT
ejpam-4689	512	9	f(b)m7	f(b)m7	ADP
ejpam-4689	512	10	+	+	CCONJ
ejpam-4689	512	11	h	h	PROPN
ejpam-4689	513	1	(	(	PUNCT
ejpam-4689	513	2	1−	1−	NUM
ejpam-4689	513	3	1	1	NUM
ejpam-4689	513	4	23	23	NUM
ejpam-4689	513	5	)	)	PUNCT
ejpam-4689	513	6	f(a	f(a	PROPN
ejpam-4689	513	7	)	)	PUNCT
ejpam-4689	513	8	)	)	PUNCT
ejpam-4689	514	1	∫	∫	PROPN
ejpam-4689	514	2	1	1	NUM
ejpam-4689	514	3	0	0	NUM
ejpam-4689	514	4	h	h	NOUN
ejpam-4689	514	5	(	(	PUNCT
ejpam-4689	514	6	1−	1−	NUM
ejpam-4689	514	7	(	(	PUNCT
ejpam-4689	514	8	q	q	PROPN
ejpam-4689	515	1	+	+	NUM
ejpam-4689	515	2	t7	t7	PROPN
ejpam-4689	515	3	2	2	NUM
ejpam-4689	515	4	)	)	PUNCT
ejpam-4689	515	5	3	3	NUM
ejpam-4689	515	6	)	)	PUNCT
ejpam-4689	515	7	t	t	NOUN
ejpam-4689	515	8	7θ	7θ	NOUN
ejpam-4689	515	9	k	k	PROPN
ejpam-4689	515	10	−1dt	−1dt	PRON
ejpam-4689	515	11	)	)	PUNCT
ejpam-4689	516	1	7θ	7θ	NOUN
ejpam-4689	516	2	k	k	PROPN
ejpam-4689	516	3	.	.	PUNCT
ejpam-4689	517	1	theorem	theorem	ADJ
ejpam-4689	517	2	4	4	NUM
ejpam-4689	517	3	.	.	PUNCT
ejpam-4689	518	1	let	let	VERB
ejpam-4689	518	2	f	f	NOUN
ejpam-4689	518	3	:	:	PUNCT
ejpam-4689	519	1	[	[	X
ejpam-4689	519	2	xp	xp	X
ejpam-4689	519	3	,	,	PUNCT
ejpam-4689	519	4	yp	yp	X
ejpam-4689	519	5	]	]	X
ejpam-4689	519	6	→	→	X
ejpam-4689	519	7	r.	r.	PROPN
ejpam-4689	519	8	if	if	SCONJ
ejpam-4689	519	9	f	f	PROPN
ejpam-4689	519	10	is	be	AUX
ejpam-4689	519	11	(	(	PUNCT
ejpam-4689	519	12	α	α	NOUN
ejpam-4689	519	13	,	,	PUNCT
ejpam-4689	519	14	h	h	NOUN
ejpam-4689	519	15	−	−	PROPN
ejpam-4689	519	16	m	m	NOUN
ejpam-4689	519	17	)	)	PUNCT
ejpam-4689	519	18	−	−	PROPN
ejpam-4689	519	19	p	p	NOUN
ejpam-4689	519	20	convex	convex	NOUN
ejpam-4689	519	21	on	on	ADP
ejpam-4689	519	22	[	[	X
ejpam-4689	519	23	xp	xp	X
ejpam-4689	519	24	,	,	PUNCT
ejpam-4689	519	25	yp	yp	X
ejpam-4689	519	26	]	]	PUNCT
ejpam-4689	519	27	and	and	CCONJ
ejpam-4689	519	28	if	if	SCONJ
ejpam-4689	519	29	the	the	DET
ejpam-4689	519	30	following	follow	VERB
ejpam-4689	519	31	condition	condition	NOUN
ejpam-4689	519	32	holds	hold	VERB
ejpam-4689	519	33	,	,	PUNCT
ejpam-4689	519	34	then	then	ADV
ejpam-4689	519	35	0	0	NUM
ejpam-4689	519	36	<	<	X
ejpam-4689	519	37	m	m	X
ejpam-4689	519	38	<	<	X
ejpam-4689	519	39	1	1	NUM
ejpam-4689	519	40	,	,	PUNCT
ejpam-4689	519	41	x	x	X
ejpam-4689	519	42	>	>	X
ejpam-4689	519	43	0	0	NUM
ejpam-4689	519	44	,	,	PUNCT
ejpam-4689	519	45	x	x	X
ejpam-4689	519	46	<	<	X
ejpam-4689	519	47	y	y	X
ejpam-4689	519	48	<	<	X
ejpam-4689	519	49	x	x	X
ejpam-4689	519	50	m	m	PROPN
ejpam-4689	519	51	,	,	PUNCT
ejpam-4689	519	52	kγk(θ	kγk(θ	PROPN
ejpam-4689	519	53	)	)	PUNCT
ejpam-4689	520	1	p1−	p1−	PROPN
ejpam-4689	520	2	θ	θ	X
ejpam-4689	520	3	k	k	PROPN
ejpam-4689	520	4	(	(	PUNCT
ejpam-4689	520	5	p−1	p−1	PROPN
ejpam-4689	520	6	k	k	PROPN
ejpam-4689	520	7	jθ	jθ	ADV
ejpam-4689	520	8	x−f(my	x−f(my	PROPN
ejpam-4689	520	9	)	)	PUNCT
ejpam-4689	520	10	(	(	PUNCT
ejpam-4689	520	11	xp	xp	X
ejpam-4689	520	12	−mpyp	−mpyp	NOUN
ejpam-4689	520	13	)	)	PUNCT
ejpam-4689	520	14	θ	θ	PROPN
ejpam-4689	520	15	k	k	PROPN
ejpam-4689	521	1	+	+	CCONJ
ejpam-4689	521	2	p−1	p−1	PROPN
ejpam-4689	521	3	k	k	PROPN
ejpam-4689	521	4	jθ	jθ	ADV
ejpam-4689	521	5	y−f(mx	y−f(mx	PROPN
ejpam-4689	521	6	)	)	PUNCT
ejpam-4689	521	7	(	(	PUNCT
ejpam-4689	521	8	yp	yp	PROPN
ejpam-4689	521	9	−mpxp	−mpxp	NOUN
ejpam-4689	521	10	)	)	PUNCT
ejpam-4689	521	11	θ	θ	PROPN
ejpam-4689	521	12	k	k	X
ejpam-4689	521	13	)	)	PUNCT
ejpam-4689	521	14	⩽	⩽	NOUN
ejpam-4689	521	15	(	(	PUNCT
ejpam-4689	521	16	f(x	f(x	PROPN
ejpam-4689	521	17	)	)	PUNCT
ejpam-4689	522	1	+	+	SYM
ejpam-4689	522	2	f(y	f(y	NOUN
ejpam-4689	522	3	)	)	PUNCT
ejpam-4689	522	4	)	)	PUNCT
ejpam-4689	523	1	∫	∫	PROPN
ejpam-4689	523	2	1	1	NUM
ejpam-4689	523	3	0	0	NUM
ejpam-4689	523	4	h(tαp)t	h(tαp)t	NOUN
ejpam-4689	523	5	θp	θp	ADP
ejpam-4689	523	6	k	k	PROPN
ejpam-4689	523	7	−1dt+m2p	−1dt+m2p	PROPN
ejpam-4689	523	8	(	(	PUNCT
ejpam-4689	523	9	f	f	PROPN
ejpam-4689	523	10	(	(	PUNCT
ejpam-4689	523	11	y	y	PROPN
ejpam-4689	523	12	mp	mp	PROPN
ejpam-4689	523	13	)	)	PUNCT
ejpam-4689	524	1	+	+	CCONJ
ejpam-4689	524	2	f	f	X
ejpam-4689	524	3	(	(	PUNCT
ejpam-4689	524	4	x	x	NOUN
ejpam-4689	524	5	mp	mp	PROPN
ejpam-4689	524	6	)	)	PUNCT
ejpam-4689	524	7	)	)	PUNCT
ejpam-4689	525	1	∫	∫	PROPN
ejpam-4689	525	2	1	1	NUM
ejpam-4689	525	3	0	0	NUM
ejpam-4689	525	4	h(1−	h(1−	PROPN
ejpam-4689	525	5	tαp)t	tαp)t	PROPN
ejpam-4689	525	6	θp	θp	ADP
ejpam-4689	525	7	k	k	PROPN
ejpam-4689	525	8	−1dt	−1dt	PROPN
ejpam-4689	525	9	.	.	PUNCT
ejpam-4689	526	1	⩽	⩽	ADJ
ejpam-4689	526	2	(	(	PUNCT
ejpam-4689	526	3	f(x	f(x	PROPN
ejpam-4689	526	4	)	)	PUNCT
ejpam-4689	526	5	+	+	SYM
ejpam-4689	526	6	f(y	f(y	NOUN
ejpam-4689	526	7	)	)	PUNCT
ejpam-4689	526	8	)	)	PUNCT
ejpam-4689	527	1	(	(	PUNCT
ejpam-4689	527	2	∫	∫	PROPN
ejpam-4689	527	3	1	1	NUM
ejpam-4689	527	4	0	0	NUM
ejpam-4689	527	5	(	(	PUNCT
ejpam-4689	527	6	h(tαp))ldt	h(tαp))ldt	PROPN
ejpam-4689	527	7	)	)	PUNCT
ejpam-4689	527	8	1	1	NUM
ejpam-4689	527	9	l	l	NOUN
ejpam-4689	527	10	(	(	PUNCT
ejpam-4689	527	11	∫	∫	PROPN
ejpam-4689	527	12	1	1	NUM
ejpam-4689	527	13	0	0	NUM
ejpam-4689	527	14	(	(	PUNCT
ejpam-4689	527	15	t	t	NOUN
ejpam-4689	527	16	θp	θp	ADP
ejpam-4689	527	17	k	k	PROPN
ejpam-4689	527	18	−1)qdt	−1)qdt	PROPN
ejpam-4689	527	19	)	)	PUNCT
ejpam-4689	527	20	1	1	NUM
ejpam-4689	527	21	q	q	NOUN
ejpam-4689	527	22	+	+	NOUN
ejpam-4689	527	23	m2p	m2p	PROPN
ejpam-4689	527	24	(	(	PUNCT
ejpam-4689	527	25	f	f	PROPN
ejpam-4689	527	26	(	(	PUNCT
ejpam-4689	527	27	y	y	PROPN
ejpam-4689	527	28	mp	mp	PROPN
ejpam-4689	527	29	)	)	PUNCT
ejpam-4689	528	1	+	+	CCONJ
ejpam-4689	528	2	f	f	X
ejpam-4689	528	3	(	(	PUNCT
ejpam-4689	528	4	x	x	NOUN
ejpam-4689	528	5	mp	mp	PROPN
ejpam-4689	528	6	)	)	PUNCT
ejpam-4689	528	7	)	)	PUNCT
ejpam-4689	529	1	(	(	PUNCT
ejpam-4689	529	2	∫	∫	PROPN
ejpam-4689	529	3	1	1	NUM
ejpam-4689	529	4	0	0	NUM
ejpam-4689	529	5	(	(	PUNCT
ejpam-4689	529	6	h(1−	h(1−	PROPN
ejpam-4689	529	7	tαp))ldt	tαp))ldt	PROPN
ejpam-4689	529	8	)	)	PUNCT
ejpam-4689	529	9	1	1	NUM
ejpam-4689	529	10	l	l	NOUN
ejpam-4689	529	11	(	(	PUNCT
ejpam-4689	529	12	∫	∫	PROPN
ejpam-4689	529	13	1	1	NUM
ejpam-4689	529	14	0	0	NUM
ejpam-4689	529	15	(	(	PUNCT
ejpam-4689	529	16	t	t	NOUN
ejpam-4689	529	17	θp	θp	ADP
ejpam-4689	529	18	k	k	PROPN
ejpam-4689	529	19	−1)qdt	−1)qdt	PROPN
ejpam-4689	529	20	)	)	PUNCT
ejpam-4689	529	21	1	1	NUM
ejpam-4689	529	22	q	q	NOUN
ejpam-4689	529	23	.	.	PUNCT
ejpam-4689	530	1	proof	proof	NOUN
ejpam-4689	530	2	.	.	PUNCT
ejpam-4689	531	1	since	since	SCONJ
ejpam-4689	531	2	f	f	PROPN
ejpam-4689	531	3	is	be	AUX
ejpam-4689	531	4	(	(	PUNCT
ejpam-4689	531	5	α	α	NOUN
ejpam-4689	531	6	,	,	PUNCT
ejpam-4689	531	7	h−m)−	h−m)−	PROPN
ejpam-4689	531	8	p	p	PROPN
ejpam-4689	531	9	convex	convex	NOUN
ejpam-4689	531	10	,	,	PUNCT
ejpam-4689	531	11	we	we	PRON
ejpam-4689	531	12	have	have	VERB
ejpam-4689	531	13	the	the	DET
ejpam-4689	531	14	following	follow	VERB
ejpam-4689	531	15	inequalities	inequality	NOUN
ejpam-4689	531	16	f	f	X
ejpam-4689	531	17	(	(	PUNCT
ejpam-4689	531	18	[	[	X
ejpam-4689	531	19	tpxp	tpxp	NOUN
ejpam-4689	531	20	+	+	NOUN
ejpam-4689	531	21	m2p(1−	m2p(1−	NOUN
ejpam-4689	531	22	tp	tp	NOUN
ejpam-4689	531	23	)	)	PUNCT
ejpam-4689	531	24	yp	yp	PROPN
ejpam-4689	531	25	mp	mp	PROPN
ejpam-4689	531	26	]	]	PUNCT
ejpam-4689	531	27	1	1	NUM
ejpam-4689	531	28	p	p	NOUN
ejpam-4689	531	29	)	)	PUNCT
ejpam-4689	531	30	⩽	⩽	NOUN
ejpam-4689	531	31	h(tαp)f(x	h(tαp)f(x	PROPN
ejpam-4689	531	32	)	)	PUNCT
ejpam-4689	531	33	+	+	PROPN
ejpam-4689	531	34	m2ph(1−	m2ph(1−	ADJ
ejpam-4689	531	35	tαp)f	tαp)f	PROPN
ejpam-4689	531	36	(	(	PUNCT
ejpam-4689	531	37	y	y	PROPN
ejpam-4689	531	38	mp	mp	PROPN
ejpam-4689	531	39	)	)	PUNCT
ejpam-4689	531	40	,	,	PUNCT
ejpam-4689	531	41	v.	v.	ADP
ejpam-4689	531	42	stojiljković	stojiljković	PROPN
ejpam-4689	531	43	/	/	SYM
ejpam-4689	531	44	eur	eur	PROPN
ejpam-4689	531	45	.	.	PUNCT
ejpam-4689	532	1	j.	j.	PROPN
ejpam-4689	532	2	pure	pure	PROPN
ejpam-4689	532	3	appl	appl	PROPN
ejpam-4689	532	4	.	.	PROPN
ejpam-4689	532	5	math	math	PROPN
ejpam-4689	532	6	,	,	PUNCT
ejpam-4689	532	7	16	16	NUM
ejpam-4689	532	8	(	(	PUNCT
ejpam-4689	532	9	1	1	NUM
ejpam-4689	532	10	)	)	PUNCT
ejpam-4689	532	11	(	(	PUNCT
ejpam-4689	532	12	2023	2023	NUM
ejpam-4689	532	13	)	)	PUNCT
ejpam-4689	532	14	,	,	PUNCT
ejpam-4689	532	15	503	503	NUM
ejpam-4689	532	16	-	-	SYM
ejpam-4689	532	17	522	522	NUM
ejpam-4689	532	18	518	518	NUM
ejpam-4689	532	19	f	f	NOUN
ejpam-4689	532	20	(	(	PUNCT
ejpam-4689	532	21	[	[	X
ejpam-4689	532	22	tpyp	tpyp	X
ejpam-4689	532	23	+	+	NOUN
ejpam-4689	532	24	m2p(1−	m2p(1−	PROPN
ejpam-4689	532	25	tp	tp	NOUN
ejpam-4689	532	26	)	)	PUNCT
ejpam-4689	532	27	xp	xp	INTJ
ejpam-4689	532	28	mp	mp	PROPN
ejpam-4689	532	29	]	]	PUNCT
ejpam-4689	532	30	1	1	NUM
ejpam-4689	532	31	p	p	NOUN
ejpam-4689	532	32	)	)	PUNCT
ejpam-4689	532	33	⩽	⩽	ADJ
ejpam-4689	532	34	h(tαp)f(y	h(tαp)f(y	PROPN
ejpam-4689	532	35	)	)	PUNCT
ejpam-4689	533	1	+	+	ADJ
ejpam-4689	533	2	m2ph(1−	m2ph(1−	ADJ
ejpam-4689	533	3	tαp)f	tαp)f	PROPN
ejpam-4689	533	4	(	(	PUNCT
ejpam-4689	533	5	x	x	X
ejpam-4689	533	6	mp	mp	PROPN
ejpam-4689	533	7	)	)	PUNCT
ejpam-4689	533	8	.	.	PUNCT
ejpam-4689	534	1	adding	add	VERB
ejpam-4689	534	2	both	both	DET
ejpam-4689	534	3	inequalities	inequality	NOUN
ejpam-4689	534	4	and	and	CCONJ
ejpam-4689	534	5	multiplying	multiply	VERB
ejpam-4689	534	6	with	with	ADP
ejpam-4689	534	7	t	t	PROPN
ejpam-4689	534	8	θp	θp	ADP
ejpam-4689	534	9	k	k	PROPN
ejpam-4689	534	10	−1	−1	NOUN
ejpam-4689	534	11	and	and	CCONJ
ejpam-4689	534	12	integrating	integrate	VERB
ejpam-4689	534	13	with	with	ADP
ejpam-4689	534	14	respect	respect	NOUN
ejpam-4689	534	15	to	to	ADP
ejpam-4689	534	16	t	t	NOUN
ejpam-4689	534	17	we	we	PRON
ejpam-4689	534	18	get∫	get∫	PROPN
ejpam-4689	534	19	1	1	NUM
ejpam-4689	534	20	0	0	NUM
ejpam-4689	534	21	t	t	NOUN
ejpam-4689	534	22	θp	θp	ADP
ejpam-4689	534	23	k	k	PROPN
ejpam-4689	534	24	−1f	−1f	PROPN
ejpam-4689	534	25	(	(	PUNCT
ejpam-4689	534	26	[	[	X
ejpam-4689	534	27	tpxp	tpxp	NOUN
ejpam-4689	534	28	+	+	NOUN
ejpam-4689	534	29	m2p(1−	m2p(1−	NOUN
ejpam-4689	534	30	tp	tp	NOUN
ejpam-4689	534	31	)	)	PUNCT
ejpam-4689	534	32	yp	yp	PROPN
ejpam-4689	534	33	mp	mp	PROPN
ejpam-4689	534	34	]	]	PUNCT
ejpam-4689	534	35	1	1	NUM
ejpam-4689	534	36	p	p	NOUN
ejpam-4689	534	37	)	)	PUNCT
ejpam-4689	534	38	dt+	dt+	NOUN
ejpam-4689	534	39	∫	∫	NOUN
ejpam-4689	535	1	1	1	NUM
ejpam-4689	535	2	0	0	NUM
ejpam-4689	535	3	t	t	NOUN
ejpam-4689	535	4	θp	θp	ADP
ejpam-4689	535	5	k	k	PROPN
ejpam-4689	535	6	−1f	−1f	PROPN
ejpam-4689	535	7	(	(	PUNCT
ejpam-4689	535	8	[	[	X
ejpam-4689	535	9	tpyp	tpyp	X
ejpam-4689	535	10	+	+	NOUN
ejpam-4689	535	11	m2p(1−	m2p(1−	PROPN
ejpam-4689	535	12	tp	tp	NOUN
ejpam-4689	535	13	)	)	PUNCT
ejpam-4689	535	14	xp	xp	INTJ
ejpam-4689	535	15	mp	mp	PROPN
ejpam-4689	535	16	]	]	PUNCT
ejpam-4689	535	17	1	1	NUM
ejpam-4689	535	18	p	p	NOUN
ejpam-4689	535	19	)	)	PUNCT
ejpam-4689	535	20	dt	dt	X
ejpam-4689	535	21	⩽	⩽	ADJ
ejpam-4689	535	22	(	(	PUNCT
ejpam-4689	535	23	f(x	f(x	PROPN
ejpam-4689	535	24	)	)	PUNCT
ejpam-4689	535	25	+	+	SYM
ejpam-4689	535	26	f(y	f(y	NOUN
ejpam-4689	535	27	)	)	PUNCT
ejpam-4689	535	28	)	)	PUNCT
ejpam-4689	536	1	∫	∫	PROPN
ejpam-4689	536	2	1	1	NUM
ejpam-4689	536	3	0	0	NUM
ejpam-4689	536	4	h(tαp)t	h(tαp)t	NOUN
ejpam-4689	536	5	θp	θp	ADP
ejpam-4689	536	6	k	k	PROPN
ejpam-4689	536	7	−1dt+m2p	−1dt+m2p	PROPN
ejpam-4689	536	8	(	(	PUNCT
ejpam-4689	536	9	f	f	PROPN
ejpam-4689	536	10	(	(	PUNCT
ejpam-4689	536	11	y	y	PROPN
ejpam-4689	536	12	mp	mp	PROPN
ejpam-4689	536	13	)	)	PUNCT
ejpam-4689	537	1	+	+	CCONJ
ejpam-4689	537	2	f	f	X
ejpam-4689	537	3	(	(	PUNCT
ejpam-4689	537	4	x	x	NOUN
ejpam-4689	537	5	mp	mp	PROPN
ejpam-4689	537	6	)	)	PUNCT
ejpam-4689	537	7	)	)	PUNCT
ejpam-4689	538	1	∫	∫	PROPN
ejpam-4689	538	2	1	1	NUM
ejpam-4689	538	3	0	0	NUM
ejpam-4689	538	4	h(1−	h(1−	PROPN
ejpam-4689	539	1	tαp)t	tαp)t	PROPN
ejpam-4689	539	2	θp	θp	ADP
ejpam-4689	539	3	k	k	PROPN
ejpam-4689	539	4	−1dt	−1dt	PROPN
ejpam-4689	539	5	.	.	PUNCT
ejpam-4689	540	1	which	which	PRON
ejpam-4689	540	2	when	when	SCONJ
ejpam-4689	540	3	identified	identify	VERB
ejpam-4689	540	4	in	in	ADP
ejpam-4689	540	5	terms	term	NOUN
ejpam-4689	540	6	of	of	ADP
ejpam-4689	540	7	the	the	DET
ejpam-4689	540	8	k	k	PROPN
ejpam-4689	540	9	−	−	PROPN
ejpam-4689	540	10	p	p	NOUN
ejpam-4689	540	11	fractional	fractional	ADJ
ejpam-4689	540	12	operator	operator	NOUN
ejpam-4689	540	13	,	,	PUNCT
ejpam-4689	540	14	we	we	PRON
ejpam-4689	540	15	get	get	VERB
ejpam-4689	540	16	kγk(θ	kγk(θ	NOUN
ejpam-4689	540	17	)	)	PUNCT
ejpam-4689	541	1	p1−	p1−	PROPN
ejpam-4689	541	2	θ	θ	X
ejpam-4689	541	3	k	k	PROPN
ejpam-4689	541	4	(	(	PUNCT
ejpam-4689	541	5	p−1	p−1	PROPN
ejpam-4689	541	6	k	k	PROPN
ejpam-4689	541	7	jθ	jθ	ADV
ejpam-4689	541	8	x−f(my	x−f(my	PROPN
ejpam-4689	541	9	)	)	PUNCT
ejpam-4689	541	10	(	(	PUNCT
ejpam-4689	541	11	xp	xp	X
ejpam-4689	541	12	−mpyp	−mpyp	NOUN
ejpam-4689	541	13	)	)	PUNCT
ejpam-4689	541	14	θ	θ	PROPN
ejpam-4689	541	15	k	k	PROPN
ejpam-4689	542	1	+	+	CCONJ
ejpam-4689	542	2	p−1	p−1	PROPN
ejpam-4689	542	3	k	k	PROPN
ejpam-4689	542	4	jθ	jθ	ADV
ejpam-4689	542	5	y−f(mx	y−f(mx	PROPN
ejpam-4689	542	6	)	)	PUNCT
ejpam-4689	542	7	(	(	PUNCT
ejpam-4689	542	8	yp	yp	PROPN
ejpam-4689	542	9	−mpxp	−mpxp	NOUN
ejpam-4689	542	10	)	)	PUNCT
ejpam-4689	542	11	θ	θ	PROPN
ejpam-4689	542	12	k	k	X
ejpam-4689	542	13	)	)	PUNCT
ejpam-4689	542	14	⩽	⩽	NOUN
ejpam-4689	542	15	(	(	PUNCT
ejpam-4689	542	16	f(x	f(x	PROPN
ejpam-4689	542	17	)	)	PUNCT
ejpam-4689	543	1	+	+	SYM
ejpam-4689	543	2	f(y	f(y	NOUN
ejpam-4689	543	3	)	)	PUNCT
ejpam-4689	543	4	)	)	PUNCT
ejpam-4689	544	1	∫	∫	PROPN
ejpam-4689	544	2	1	1	NUM
ejpam-4689	544	3	0	0	NUM
ejpam-4689	544	4	h(tαp)t	h(tαp)t	NOUN
ejpam-4689	544	5	θp	θp	ADP
ejpam-4689	544	6	k	k	PROPN
ejpam-4689	544	7	−1dt+m2p	−1dt+m2p	PROPN
ejpam-4689	544	8	(	(	PUNCT
ejpam-4689	544	9	f	f	PROPN
ejpam-4689	544	10	(	(	PUNCT
ejpam-4689	544	11	y	y	PROPN
ejpam-4689	544	12	mp	mp	PROPN
ejpam-4689	544	13	)	)	PUNCT
ejpam-4689	545	1	+	+	CCONJ
ejpam-4689	545	2	f	f	X
ejpam-4689	545	3	(	(	PUNCT
ejpam-4689	545	4	x	x	NOUN
ejpam-4689	545	5	mp	mp	PROPN
ejpam-4689	545	6	)	)	PUNCT
ejpam-4689	545	7	)	)	PUNCT
ejpam-4689	546	1	∫	∫	PROPN
ejpam-4689	546	2	1	1	NUM
ejpam-4689	546	3	0	0	NUM
ejpam-4689	546	4	h(1−	h(1−	PROPN
ejpam-4689	546	5	tαp)t	tαp)t	PROPN
ejpam-4689	546	6	θp	θp	ADP
ejpam-4689	546	7	k	k	PROPN
ejpam-4689	546	8	−1dt	−1dt	PROPN
ejpam-4689	546	9	.	.	PUNCT
ejpam-4689	547	1	now	now	ADV
ejpam-4689	547	2	applying	apply	VERB
ejpam-4689	547	3	the	the	DET
ejpam-4689	547	4	hölders	hölder	NOUN
ejpam-4689	547	5	inequality	inequality	NOUN
ejpam-4689	547	6	on	on	ADP
ejpam-4689	547	7	the	the	DET
ejpam-4689	547	8	integrals	integral	NOUN
ejpam-4689	547	9	,	,	PUNCT
ejpam-4689	547	10	we	we	PRON
ejpam-4689	547	11	get	get	VERB
ejpam-4689	547	12	(	(	PUNCT
ejpam-4689	547	13	f(x	f(x	PROPN
ejpam-4689	547	14	)	)	PUNCT
ejpam-4689	548	1	+	+	SYM
ejpam-4689	548	2	f(y	f(y	NOUN
ejpam-4689	548	3	)	)	PUNCT
ejpam-4689	548	4	)	)	PUNCT
ejpam-4689	549	1	∫	∫	PROPN
ejpam-4689	549	2	1	1	NUM
ejpam-4689	549	3	0	0	NUM
ejpam-4689	549	4	h(tαp)t	h(tαp)t	NOUN
ejpam-4689	549	5	θp	θp	ADP
ejpam-4689	549	6	k	k	PROPN
ejpam-4689	549	7	−1dt+m2p	−1dt+m2p	PROPN
ejpam-4689	549	8	(	(	PUNCT
ejpam-4689	549	9	f	f	PROPN
ejpam-4689	549	10	(	(	PUNCT
ejpam-4689	549	11	y	y	PROPN
ejpam-4689	549	12	mp	mp	PROPN
ejpam-4689	549	13	)	)	PUNCT
ejpam-4689	550	1	+	+	CCONJ
ejpam-4689	550	2	f	f	X
ejpam-4689	550	3	(	(	PUNCT
ejpam-4689	550	4	x	x	NOUN
ejpam-4689	550	5	mp	mp	PROPN
ejpam-4689	550	6	)	)	PUNCT
ejpam-4689	550	7	)	)	PUNCT
ejpam-4689	551	1	∫	∫	PROPN
ejpam-4689	551	2	1	1	NUM
ejpam-4689	551	3	0	0	NUM
ejpam-4689	551	4	h(1−	h(1−	PROPN
ejpam-4689	551	5	tαp)t	tαp)t	PROPN
ejpam-4689	551	6	θp	θp	ADP
ejpam-4689	551	7	k	k	PROPN
ejpam-4689	551	8	−1dt	−1dt	PROPN
ejpam-4689	551	9	⩽	⩽	PROPN
ejpam-4689	551	10	(	(	PUNCT
ejpam-4689	551	11	f(x	f(x	PROPN
ejpam-4689	551	12	)	)	PUNCT
ejpam-4689	552	1	+	+	SYM
ejpam-4689	552	2	f(y	f(y	NOUN
ejpam-4689	552	3	)	)	PUNCT
ejpam-4689	552	4	)	)	PUNCT
ejpam-4689	553	1	(	(	PUNCT
ejpam-4689	553	2	∫	∫	PROPN
ejpam-4689	553	3	1	1	NUM
ejpam-4689	553	4	0	0	NUM
ejpam-4689	553	5	(	(	PUNCT
ejpam-4689	553	6	h(tαp))ldt	h(tαp))ldt	PROPN
ejpam-4689	553	7	)	)	PUNCT
ejpam-4689	553	8	1	1	NUM
ejpam-4689	553	9	l	l	NOUN
ejpam-4689	553	10	(	(	PUNCT
ejpam-4689	553	11	∫	∫	PROPN
ejpam-4689	553	12	1	1	NUM
ejpam-4689	553	13	0	0	NUM
ejpam-4689	553	14	(	(	PUNCT
ejpam-4689	553	15	t	t	NOUN
ejpam-4689	553	16	θp	θp	ADP
ejpam-4689	553	17	k	k	PROPN
ejpam-4689	553	18	−1)qdt	−1)qdt	PROPN
ejpam-4689	553	19	)	)	PUNCT
ejpam-4689	553	20	1	1	NUM
ejpam-4689	553	21	q	q	NOUN
ejpam-4689	553	22	+	+	NOUN
ejpam-4689	553	23	m2p	m2p	PROPN
ejpam-4689	553	24	(	(	PUNCT
ejpam-4689	553	25	f	f	PROPN
ejpam-4689	553	26	(	(	PUNCT
ejpam-4689	553	27	y	y	PROPN
ejpam-4689	553	28	mp	mp	PROPN
ejpam-4689	553	29	)	)	PUNCT
ejpam-4689	554	1	+	+	CCONJ
ejpam-4689	554	2	f	f	X
ejpam-4689	554	3	(	(	PUNCT
ejpam-4689	554	4	x	x	NOUN
ejpam-4689	554	5	mp	mp	PROPN
ejpam-4689	554	6	)	)	PUNCT
ejpam-4689	554	7	)	)	PUNCT
ejpam-4689	555	1	(	(	PUNCT
ejpam-4689	555	2	∫	∫	PROPN
ejpam-4689	555	3	1	1	NUM
ejpam-4689	555	4	0	0	NUM
ejpam-4689	555	5	(	(	PUNCT
ejpam-4689	555	6	h(1−	h(1−	PROPN
ejpam-4689	555	7	tαp))ldt	tαp))ldt	PROPN
ejpam-4689	555	8	)	)	PUNCT
ejpam-4689	555	9	1	1	NUM
ejpam-4689	555	10	l	l	NOUN
ejpam-4689	555	11	(	(	PUNCT
ejpam-4689	555	12	∫	∫	PROPN
ejpam-4689	555	13	1	1	NUM
ejpam-4689	555	14	0	0	NUM
ejpam-4689	555	15	(	(	PUNCT
ejpam-4689	555	16	t	t	NOUN
ejpam-4689	555	17	θp	θp	ADP
ejpam-4689	555	18	k	k	PROPN
ejpam-4689	555	19	−1)qdt	−1)qdt	PROPN
ejpam-4689	555	20	)	)	PUNCT
ejpam-4689	555	21	1	1	NUM
ejpam-4689	555	22	q	q	NOUN
ejpam-4689	555	23	.	.	PUNCT
ejpam-4689	556	1	connecting	connect	VERB
ejpam-4689	556	2	the	the	DET
ejpam-4689	556	3	left	left	ADJ
ejpam-4689	556	4	and	and	CCONJ
ejpam-4689	556	5	right	right	ADJ
ejpam-4689	556	6	hand	hand	NOUN
ejpam-4689	556	7	side	side	NOUN
ejpam-4689	556	8	,	,	PUNCT
ejpam-4689	556	9	we	we	PRON
ejpam-4689	556	10	obtain	obtain	VERB
ejpam-4689	556	11	the	the	DET
ejpam-4689	556	12	inequality	inequality	NOUN
ejpam-4689	556	13	.	.	PUNCT
ejpam-4689	557	1	corollary	corollary	ADJ
ejpam-4689	557	2	7	7	NUM
ejpam-4689	557	3	.	.	PUNCT
ejpam-4689	558	1	setting	set	VERB
ejpam-4689	558	2	l	l	NOUN
ejpam-4689	558	3	,	,	PUNCT
ejpam-4689	558	4	q	q	NOUN
ejpam-4689	558	5	=	=	NOUN
ejpam-4689	558	6	1	1	NUM
ejpam-4689	558	7	2	2	NUM
ejpam-4689	558	8	we	we	PRON
ejpam-4689	558	9	get	get	VERB
ejpam-4689	558	10	a	a	DET
ejpam-4689	558	11	new	new	ADJ
ejpam-4689	558	12	(	(	PUNCT
ejpam-4689	558	13	α	α	NOUN
ejpam-4689	558	14	,	,	PUNCT
ejpam-4689	558	15	h−m)−	h−m)−	NOUN
ejpam-4689	558	16	p	p	NOUN
ejpam-4689	558	17	k	k	PROPN
ejpam-4689	559	1	−	−	PROPN
ejpam-4689	559	2	p	p	X
ejpam-4689	559	3	fractional	fractional	ADJ
ejpam-4689	559	4	inequality	inequality	NOUN
ejpam-4689	559	5	kγk(θ	kγk(θ	PROPN
ejpam-4689	559	6	)	)	PUNCT
ejpam-4689	560	1	p1−	p1−	PROPN
ejpam-4689	560	2	θ	θ	X
ejpam-4689	560	3	k	k	PROPN
ejpam-4689	560	4	(	(	PUNCT
ejpam-4689	560	5	p−1	p−1	PROPN
ejpam-4689	560	6	k	k	PROPN
ejpam-4689	560	7	jθ	jθ	ADV
ejpam-4689	560	8	x−f(my	x−f(my	PROPN
ejpam-4689	560	9	)	)	PUNCT
ejpam-4689	560	10	(	(	PUNCT
ejpam-4689	560	11	xp	xp	X
ejpam-4689	560	12	−mpyp	−mpyp	NOUN
ejpam-4689	560	13	)	)	PUNCT
ejpam-4689	560	14	θ	θ	PROPN
ejpam-4689	560	15	k	k	PROPN
ejpam-4689	561	1	+	+	CCONJ
ejpam-4689	561	2	p−1	p−1	PROPN
ejpam-4689	561	3	k	k	PROPN
ejpam-4689	561	4	jθ	jθ	ADV
ejpam-4689	561	5	y−f(mx	y−f(mx	PROPN
ejpam-4689	561	6	)	)	PUNCT
ejpam-4689	561	7	(	(	PUNCT
ejpam-4689	561	8	yp	yp	PROPN
ejpam-4689	561	9	−mpxp	−mpxp	NOUN
ejpam-4689	561	10	)	)	PUNCT
ejpam-4689	561	11	θ	θ	PROPN
ejpam-4689	561	12	k	k	X
ejpam-4689	561	13	)	)	PUNCT
ejpam-4689	561	14	⩽	⩽	NOUN
ejpam-4689	561	15	(	(	PUNCT
ejpam-4689	561	16	f(x	f(x	PROPN
ejpam-4689	561	17	)	)	PUNCT
ejpam-4689	562	1	+	+	SYM
ejpam-4689	562	2	f(y	f(y	NOUN
ejpam-4689	562	3	)	)	PUNCT
ejpam-4689	562	4	)	)	PUNCT
ejpam-4689	563	1	∫	∫	PROPN
ejpam-4689	563	2	1	1	NUM
ejpam-4689	563	3	0	0	NUM
ejpam-4689	563	4	h(tαp)t	h(tαp)t	NOUN
ejpam-4689	563	5	θp	θp	ADP
ejpam-4689	563	6	k	k	PROPN
ejpam-4689	563	7	−1dt+m2p	−1dt+m2p	PROPN
ejpam-4689	563	8	(	(	PUNCT
ejpam-4689	563	9	f	f	PROPN
ejpam-4689	563	10	(	(	PUNCT
ejpam-4689	563	11	y	y	PROPN
ejpam-4689	563	12	mp	mp	PROPN
ejpam-4689	563	13	)	)	PUNCT
ejpam-4689	564	1	+	+	CCONJ
ejpam-4689	564	2	f	f	X
ejpam-4689	564	3	(	(	PUNCT
ejpam-4689	564	4	x	x	NOUN
ejpam-4689	564	5	mp	mp	PROPN
ejpam-4689	564	6	)	)	PUNCT
ejpam-4689	564	7	)	)	PUNCT
ejpam-4689	565	1	∫	∫	PROPN
ejpam-4689	565	2	1	1	NUM
ejpam-4689	565	3	0	0	NUM
ejpam-4689	565	4	h(1−	h(1−	PROPN
ejpam-4689	565	5	tαp)t	tαp)t	PROPN
ejpam-4689	565	6	θp	θp	ADP
ejpam-4689	565	7	k	k	PROPN
ejpam-4689	565	8	−1dt	−1dt	PROPN
ejpam-4689	565	9	.	.	PUNCT
ejpam-4689	566	1	⩽	⩽	ADJ
ejpam-4689	566	2	(	(	PUNCT
ejpam-4689	566	3	f(x	f(x	PROPN
ejpam-4689	566	4	)	)	PUNCT
ejpam-4689	566	5	+	+	SYM
ejpam-4689	566	6	f(y	f(y	NOUN
ejpam-4689	566	7	)	)	PUNCT
ejpam-4689	566	8	)	)	PUNCT
ejpam-4689	567	1	(	(	PUNCT
ejpam-4689	567	2	∫	∫	PROPN
ejpam-4689	567	3	1	1	NUM
ejpam-4689	567	4	0	0	NUM
ejpam-4689	567	5	(	(	PUNCT
ejpam-4689	567	6	h(tαp	h(tαp	NOUN
ejpam-4689	567	7	)	)	PUNCT
ejpam-4689	567	8	)	)	PUNCT
ejpam-4689	567	9	1	1	NUM
ejpam-4689	567	10	2dt	2dt	NOUN
ejpam-4689	567	11	)	)	PUNCT
ejpam-4689	567	12	2(∫	2(∫	NUM
ejpam-4689	567	13	1	1	NUM
ejpam-4689	567	14	0	0	NUM
ejpam-4689	567	15	(	(	PUNCT
ejpam-4689	567	16	t	t	NOUN
ejpam-4689	567	17	θp	θp	ADP
ejpam-4689	567	18	k	k	PROPN
ejpam-4689	567	19	−1	−1	PROPN
ejpam-4689	567	20	)	)	PUNCT
ejpam-4689	567	21	1	1	NUM
ejpam-4689	567	22	2dt	2dt	NOUN
ejpam-4689	567	23	)	)	PUNCT
ejpam-4689	567	24	2	2	NUM
ejpam-4689	568	1	+	+	NOUN
ejpam-4689	568	2	m2p	m2p	PROPN
ejpam-4689	568	3	(	(	PUNCT
ejpam-4689	568	4	f	f	PROPN
ejpam-4689	568	5	(	(	PUNCT
ejpam-4689	568	6	y	y	PROPN
ejpam-4689	568	7	mp	mp	PROPN
ejpam-4689	568	8	)	)	PUNCT
ejpam-4689	569	1	+	+	CCONJ
ejpam-4689	569	2	f	f	X
ejpam-4689	569	3	(	(	PUNCT
ejpam-4689	569	4	x	x	NOUN
ejpam-4689	569	5	mp	mp	PROPN
ejpam-4689	569	6	)	)	PUNCT
ejpam-4689	569	7	)	)	PUNCT
ejpam-4689	570	1	(	(	PUNCT
ejpam-4689	570	2	∫	∫	PROPN
ejpam-4689	570	3	1	1	NUM
ejpam-4689	570	4	0	0	NUM
ejpam-4689	570	5	(	(	PUNCT
ejpam-4689	570	6	h(1−	h(1−	PROPN
ejpam-4689	570	7	tαp	tαp	PROPN
ejpam-4689	570	8	)	)	PUNCT
ejpam-4689	570	9	)	)	PUNCT
ejpam-4689	570	10	1	1	NUM
ejpam-4689	570	11	2dt	2dt	NOUN
ejpam-4689	570	12	)	)	PUNCT
ejpam-4689	570	13	2(∫	2(∫	NUM
ejpam-4689	570	14	1	1	NUM
ejpam-4689	570	15	0	0	NUM
ejpam-4689	570	16	(	(	PUNCT
ejpam-4689	570	17	t	t	NOUN
ejpam-4689	570	18	θp	θp	ADP
ejpam-4689	570	19	k	k	PROPN
ejpam-4689	570	20	−1	−1	PROPN
ejpam-4689	570	21	)	)	PUNCT
ejpam-4689	570	22	1	1	NUM
ejpam-4689	570	23	2dt	2dt	NOUN
ejpam-4689	570	24	)	)	PUNCT
ejpam-4689	570	25	2	2	NUM
ejpam-4689	570	26	.	.	PUNCT
ejpam-4689	571	1	references	reference	NOUN
ejpam-4689	571	2	519	519	NUM
ejpam-4689	571	3	3	3	NUM
ejpam-4689	571	4	.	.	PUNCT
ejpam-4689	572	1	conclusions	conclusion	NOUN
ejpam-4689	572	2	and	and	CCONJ
ejpam-4689	572	3	outlook	outlook	NOUN
ejpam-4689	572	4	in	in	ADP
ejpam-4689	572	5	this	this	DET
ejpam-4689	572	6	paper	paper	NOUN
ejpam-4689	572	7	new	new	ADJ
ejpam-4689	572	8	fractional	fractional	ADJ
ejpam-4689	572	9	variations	variation	NOUN
ejpam-4689	572	10	of	of	ADP
ejpam-4689	572	11	the	the	DET
ejpam-4689	572	12	hermite	hermite	PROPN
ejpam-4689	572	13	-	-	PUNCT
ejpam-4689	572	14	hadamard	hadamard	ADJ
ejpam-4689	572	15	inequality	inequality	NOUN
ejpam-4689	572	16	have	have	AUX
ejpam-4689	572	17	been	be	AUX
ejpam-4689	572	18	obtained	obtain	VERB
ejpam-4689	572	19	,	,	PUNCT
ejpam-4689	572	20	as	as	ADV
ejpam-4689	572	21	well	well	ADV
ejpam-4689	572	22	as	as	ADP
ejpam-4689	572	23	an	an	DET
ejpam-4689	572	24	application	application	NOUN
ejpam-4689	572	25	of	of	ADP
ejpam-4689	572	26	the	the	DET
ejpam-4689	572	27	hölder	hölder	NOUN
ejpam-4689	572	28	’s	’s	PART
ejpam-4689	572	29	inequality	inequality	NOUN
ejpam-4689	572	30	in	in	ADP
ejpam-4689	572	31	the	the	DET
ejpam-4689	572	32	fractional	fractional	ADJ
ejpam-4689	572	33	setting	setting	NOUN
ejpam-4689	572	34	.	.	PUNCT
ejpam-4689	573	1	in	in	ADP
ejpam-4689	573	2	the	the	DET
ejpam-4689	573	3	generalizations	generalization	NOUN
ejpam-4689	573	4	,	,	PUNCT
ejpam-4689	573	5	k−p	k−p	NOUN
ejpam-4689	573	6	fractional	fractional	ADJ
ejpam-4689	573	7	operator	operator	NOUN
ejpam-4689	573	8	has	have	AUX
ejpam-4689	573	9	been	be	AUX
ejpam-4689	573	10	utilized	utilize	VERB
ejpam-4689	573	11	in	in	ADP
ejpam-4689	573	12	tandem	tandem	NOUN
ejpam-4689	573	13	with	with	ADP
ejpam-4689	573	14	(	(	PUNCT
ejpam-4689	573	15	α	α	X
ejpam-4689	573	16	,	,	PUNCT
ejpam-4689	573	17	h−m)−p	h−m)−p	PROPN
ejpam-4689	573	18	convexity	convexity	NOUN
ejpam-4689	573	19	to	to	PART
ejpam-4689	573	20	produce	produce	VERB
ejpam-4689	573	21	the	the	DET
ejpam-4689	573	22	results	result	NOUN
ejpam-4689	573	23	.	.	PUNCT
ejpam-4689	574	1	recently	recently	ADV
ejpam-4689	574	2	reported	report	VERB
ejpam-4689	574	3	results	result	NOUN
ejpam-4689	574	4	in	in	ADP
ejpam-4689	574	5	the	the	DET
ejpam-4689	574	6	literature	literature	NOUN
ejpam-4689	574	7	have	have	AUX
ejpam-4689	574	8	been	be	AUX
ejpam-4689	574	9	given	give	VERB
ejpam-4689	574	10	as	as	ADP
ejpam-4689	574	11	corollaries	corollary	NOUN
ejpam-4689	574	12	.	.	PUNCT
ejpam-4689	575	1	questions	question	NOUN
ejpam-4689	575	2	arise	arise	VERB
ejpam-4689	575	3	whether	whether	SCONJ
ejpam-4689	575	4	further	further	ADJ
ejpam-4689	575	5	generalizations	generalization	NOUN
ejpam-4689	575	6	of	of	ADP
ejpam-4689	575	7	the	the	DET
ejpam-4689	575	8	obtained	obtain	VERB
ejpam-4689	575	9	convexfractional	convexfractional	ADJ
ejpam-4689	575	10	inequalities	inequality	NOUN
ejpam-4689	575	11	are	be	AUX
ejpam-4689	575	12	obtainable	obtainable	ADJ
ejpam-4689	575	13	.	.	PUNCT
ejpam-4689	576	1	a	a	DET
ejpam-4689	576	2	possible	possible	ADJ
ejpam-4689	576	3	open	open	ADJ
ejpam-4689	576	4	problem	problem	NOUN
ejpam-4689	576	5	for	for	ADP
ejpam-4689	576	6	further	further	ADJ
ejpam-4689	576	7	investigation	investigation	NOUN
ejpam-4689	576	8	is	be	AUX
ejpam-4689	576	9	whether	whether	SCONJ
ejpam-4689	576	10	k	k	PROPN
ejpam-4689	576	11	−	−	PROPN
ejpam-4689	577	1	p	p	PROPN
ejpam-4689	577	2	riemann	riemann	PROPN
ejpam-4689	577	3	liouville	liouville	X
ejpam-4689	577	4	fractional	fractional	ADJ
ejpam-4689	577	5	operator	operator	NOUN
ejpam-4689	577	6	can	can	AUX
ejpam-4689	577	7	be	be	AUX
ejpam-4689	577	8	paired	pair	VERB
ejpam-4689	577	9	up	up	ADP
ejpam-4689	577	10	with	with	ADP
ejpam-4689	577	11	raina	raina	PROPN
ejpam-4689	577	12	’s	’s	PART
ejpam-4689	577	13	function	function	NOUN
ejpam-4689	577	14	to	to	PART
ejpam-4689	577	15	produce	produce	VERB
ejpam-4689	577	16	more	more	ADV
ejpam-4689	577	17	fractional	fractional	ADJ
ejpam-4689	577	18	convex	convex	NOUN
ejpam-4689	577	19	inequalities	inequality	NOUN
ejpam-4689	577	20	.	.	PUNCT
ejpam-4689	578	1	another	another	DET
ejpam-4689	578	2	interesting	interesting	ADJ
ejpam-4689	578	3	problem	problem	NOUN
ejpam-4689	578	4	is	be	AUX
ejpam-4689	578	5	whether	whether	SCONJ
ejpam-4689	578	6	interval	interval	NOUN
ejpam-4689	578	7	valued	value	VERB
ejpam-4689	578	8	analysis	analysis	NOUN
ejpam-4689	578	9	can	can	AUX
ejpam-4689	578	10	be	be	AUX
ejpam-4689	578	11	used	use	VERB
ejpam-4689	578	12	to	to	PART
ejpam-4689	578	13	generalize	generalize	VERB
ejpam-4689	578	14	the	the	DET
ejpam-4689	578	15	obtained	obtain	VERB
ejpam-4689	578	16	inequalities	inequality	NOUN
ejpam-4689	578	17	.	.	PUNCT
ejpam-4689	579	1	references	reference	NOUN
ejpam-4689	579	2	[	[	X
ejpam-4689	579	3	1	1	NUM
ejpam-4689	579	4	]	]	PUNCT
ejpam-4689	579	5	m.	m.	NOUN
ejpam-4689	579	6	abramowitz	abramowitz	PROPN
ejpam-4689	579	7	,	,	PUNCT
ejpam-4689	579	8	i.a	i.a	PROPN
ejpam-4689	579	9	.	.	PROPN
ejpam-4689	579	10	stegun.handbook	stegun.handbook	NUM
ejpam-4689	579	11	of	of	ADP
ejpam-4689	579	12	mathematical	mathematical	ADJ
ejpam-4689	579	13	functions	function	NOUN
ejpam-4689	579	14	:	:	PUNCT
ejpam-4689	579	15	with	with	ADP
ejpam-4689	579	16	formulas	formula	NOUN
ejpam-4689	579	17	,	,	PUNCT
ejpam-4689	579	18	graphs	graph	NOUN
ejpam-4689	579	19	,	,	PUNCT
ejpam-4689	579	20	and	and	CCONJ
ejpam-4689	579	21	mathematical	mathematical	ADJ
ejpam-4689	579	22	tables.dover	tables.dover	NUM
ejpam-4689	579	23	publications	publication	NOUN
ejpam-4689	579	24	,	,	PUNCT
ejpam-4689	579	25	new	new	PROPN
ejpam-4689	579	26	york,1992.mr1225604	york,1992.mr1225604	PROPN
ejpam-4689	579	27	.	.	PUNCT
ejpam-4689	580	1	[	[	X
ejpam-4689	580	2	2	2	NUM
ejpam-4689	580	3	]	]	PUNCT
ejpam-4689	580	4	afzal	afzal	PROPN
ejpam-4689	580	5	,	,	PUNCT
ejpam-4689	580	6	w.	w.	PROPN
ejpam-4689	580	7	;	;	PUNCT
ejpam-4689	580	8	abbas	abbas	PROPN
ejpam-4689	580	9	,	,	PUNCT
ejpam-4689	580	10	m.	m.	NOUN
ejpam-4689	580	11	;	;	PUNCT
ejpam-4689	580	12	maćıas	maćıas	NUM
ejpam-4689	580	13	-	-	PUNCT
ejpam-4689	580	14	dı́az	dı́az	NOUN
ejpam-4689	580	15	,	,	PUNCT
ejpam-4689	580	16	j.e	j.e	PROPN
ejpam-4689	580	17	.	.	PROPN
ejpam-4689	580	18	;	;	PUNCT
ejpam-4689	580	19	treanţă	treanţă	PROPN
ejpam-4689	580	20	,	,	PUNCT
ejpam-4689	580	21	s.	s.	PROPN
ejpam-4689	580	22	some	some	DET
ejpam-4689	580	23	h	h	PROPN
ejpam-4689	580	24	-	-	PUNCT
ejpam-4689	580	25	godunova	godunova	ADJ
ejpam-4689	580	26	–	–	PUNCT
ejpam-4689	580	27	levin	levin	PROPN
ejpam-4689	580	28	function	function	PROPN
ejpam-4689	580	29	inequalities	inequality	NOUN
ejpam-4689	580	30	using	use	VERB
ejpam-4689	580	31	center	center	NOUN
ejpam-4689	580	32	radius	radius	NOUN
ejpam-4689	580	33	(	(	PUNCT
ejpam-4689	580	34	cr	cr	NOUN
ejpam-4689	580	35	)	)	PUNCT
ejpam-4689	580	36	order	order	NOUN
ejpam-4689	580	37	relation	relation	NOUN
ejpam-4689	580	38	.	.	PUNCT
ejpam-4689	581	1	fractal	fractal	ADJ
ejpam-4689	581	2	fract	fract	PROPN
ejpam-4689	581	3	.	.	PUNCT
ejpam-4689	582	1	2022	2022	NUM
ejpam-4689	582	2	,	,	PUNCT
ejpam-4689	582	3	6	6	NUM
ejpam-4689	582	4	,	,	PUNCT
ejpam-4689	582	5	518	518	NUM
ejpam-4689	582	6	.	.	PUNCT
ejpam-4689	583	1	https://doi.org/10.3390/fractalfract6090518	https://doi.org/10.3390/fractalfract6090518	PROPN
ejpam-4689	584	1	[	[	X
ejpam-4689	584	2	3	3	NUM
ejpam-4689	584	3	]	]	X
ejpam-4689	584	4	afzal	afzal	PROPN
ejpam-4689	584	5	,	,	PUNCT
ejpam-4689	584	6	w.	w.	PROPN
ejpam-4689	584	7	;	;	PUNCT
ejpam-4689	584	8	alb	alb	PROPN
ejpam-4689	584	9	lupaş	lupaş	PROPN
ejpam-4689	584	10	,	,	PUNCT
ejpam-4689	584	11	a.	a.	NOUN
ejpam-4689	584	12	;	;	PUNCT
ejpam-4689	584	13	shabbir	shabbir	PROPN
ejpam-4689	584	14	,	,	PUNCT
ejpam-4689	584	15	k.	k.	PROPN
ejpam-4689	584	16	hermite	hermite	PROPN
ejpam-4689	584	17	–	–	PUNCT
ejpam-4689	584	18	hadamard	hadamard	PROPN
ejpam-4689	584	19	and	and	CCONJ
ejpam-4689	584	20	jensen	jensen	PROPN
ejpam-4689	584	21	-	-	PUNCT
ejpam-4689	584	22	type	type	NOUN
ejpam-4689	584	23	inequalities	inequality	NOUN
ejpam-4689	584	24	for	for	ADP
ejpam-4689	584	25	harmonical	harmonical	ADJ
ejpam-4689	584	26	(	(	PUNCT
ejpam-4689	584	27	h1	h1	PROPN
ejpam-4689	584	28	,	,	PUNCT
ejpam-4689	584	29	h2)-godunova	h2)-godunova	PROPN
ejpam-4689	584	30	–	–	PUNCT
ejpam-4689	584	31	levin	levin	PROPN
ejpam-4689	584	32	interval	interval	NOUN
ejpam-4689	584	33	-	-	PUNCT
ejpam-4689	584	34	valued	value	VERB
ejpam-4689	584	35	functions	function	NOUN
ejpam-4689	584	36	.	.	PUNCT
ejpam-4689	585	1	mathematics	mathematic	NOUN
ejpam-4689	585	2	2022	2022	NUM
ejpam-4689	585	3	,	,	PUNCT
ejpam-4689	585	4	10	10	NUM
ejpam-4689	585	5	,	,	PUNCT
ejpam-4689	585	6	2970	2970	NUM
ejpam-4689	585	7	.	.	PUNCT
ejpam-4689	586	1	https://doi.org/10.3390/math10162970	https://doi.org/10.3390/math10162970	PROPN
ejpam-4689	586	2	[	[	X
ejpam-4689	586	3	4	4	NUM
ejpam-4689	586	4	]	]	X
ejpam-4689	586	5	waqar	waqar	PROPN
ejpam-4689	586	6	afzal	afzal	PROPN
ejpam-4689	586	7	,	,	PUNCT
ejpam-4689	586	8	khurram	khurram	PROPN
ejpam-4689	586	9	shabbir	shabbir	PROPN
ejpam-4689	586	10	,	,	PUNCT
ejpam-4689	586	11	savin	savin	NOUN
ejpam-4689	586	12	treanţă	treanţă	PROPN
ejpam-4689	586	13	,	,	PUNCT
ejpam-4689	586	14	kamsing	kamse	VERB
ejpam-4689	586	15	nonlaopon	nonlaopon	ADV
ejpam-4689	586	16	.	.	PUNCT
ejpam-4689	587	1	jensen	jensen	PROPN
ejpam-4689	587	2	and	and	CCONJ
ejpam-4689	587	3	hermite	hermite	PROPN
ejpam-4689	587	4	-	-	PUNCT
ejpam-4689	587	5	hadamard	hadamard	ADJ
ejpam-4689	587	6	type	type	NOUN
ejpam-4689	587	7	inclusions	inclusion	NOUN
ejpam-4689	587	8	for	for	ADP
ejpam-4689	587	9	harmonical	harmonical	ADJ
ejpam-4689	587	10	h	h	NOUN
ejpam-4689	587	11	-	-	PUNCT
ejpam-4689	587	12	godunova	godunova	ADJ
ejpam-4689	587	13	-	-	PUNCT
ejpam-4689	587	14	levin	levin	PROPN
ejpam-4689	587	15	functions[j	functions[j	PROPN
ejpam-4689	587	16	]	]	PUNCT
ejpam-4689	587	17	.	.	PUNCT
ejpam-4689	588	1	aims	aim	VERB
ejpam-4689	588	2	mathematics	mathematic	NOUN
ejpam-4689	588	3	,	,	PUNCT
ejpam-4689	588	4	2023	2023	NUM
ejpam-4689	588	5	,	,	PUNCT
ejpam-4689	588	6	8(2	8(2	NUM
ejpam-4689	588	7	):	):	PUNCT
ejpam-4689	588	8	3303	3303	NUM
ejpam-4689	588	9	-	-	SYM
ejpam-4689	588	10	3321	3321	NUM
ejpam-4689	588	11	.	.	PUNCT
ejpam-4689	589	1	doi	doi	NOUN
ejpam-4689	589	2	:	:	PUNCT
ejpam-4689	589	3	10.3934	10.3934	NUM
ejpam-4689	589	4	/	/	SYM
ejpam-4689	589	5	math.2023170	math.2023170	PROPN
ejpam-4689	590	1	[	[	X
ejpam-4689	590	2	5	5	NUM
ejpam-4689	590	3	]	]	X
ejpam-4689	590	4	waqar	waqar	PROPN
ejpam-4689	590	5	afzal	afzal	PROPN
ejpam-4689	590	6	,	,	PUNCT
ejpam-4689	590	7	khurram	khurram	PROPN
ejpam-4689	590	8	shabbir	shabbir	PROPN
ejpam-4689	590	9	,	,	PUNCT
ejpam-4689	590	10	thongchai	thongchai	ADJ
ejpam-4689	590	11	botmart	botmart	NOUN
ejpam-4689	590	12	.	.	PUNCT
ejpam-4689	591	1	generalized	generalize	VERB
ejpam-4689	591	2	version	version	NOUN
ejpam-4689	591	3	of	of	ADP
ejpam-4689	591	4	jensen	jensen	PROPN
ejpam-4689	591	5	and	and	CCONJ
ejpam-4689	591	6	hermite	hermite	PROPN
ejpam-4689	591	7	-	-	PUNCT
ejpam-4689	591	8	hadamard	hadamard	ADJ
ejpam-4689	591	9	inequalities	inequality	NOUN
ejpam-4689	591	10	for	for	ADP
ejpam-4689	591	11	interval	interval	NOUN
ejpam-4689	591	12	-	-	PUNCT
ejpam-4689	591	13	valued	value	VERB
ejpam-4689	591	14	(	(	PUNCT
ejpam-4689	591	15	h1,h2)godunova	h1,h2)godunova	X
ejpam-4689	591	16	-	-	PROPN
ejpam-4689	591	17	levin	levin	NOUN
ejpam-4689	591	18	functions[j	functions[j	PROPN
ejpam-4689	591	19	]	]	PUNCT
ejpam-4689	591	20	.	.	PUNCT
ejpam-4689	592	1	aims	aim	VERB
ejpam-4689	592	2	mathematics	mathematic	NOUN
ejpam-4689	592	3	,	,	PUNCT
ejpam-4689	592	4	2022	2022	NUM
ejpam-4689	592	5	,	,	PUNCT
ejpam-4689	592	6	7(10	7(10	NUM
ejpam-4689	592	7	):	):	PUNCT
ejpam-4689	592	8	19372	19372	NUM
ejpam-4689	592	9	-	-	SYM
ejpam-4689	592	10	19387	19387	NUM
ejpam-4689	592	11	.	.	PUNCT
ejpam-4689	593	1	doi	doi	NOUN
ejpam-4689	593	2	:	:	PUNCT
ejpam-4689	593	3	10.3934	10.3934	NUM
ejpam-4689	593	4	/	/	SYM
ejpam-4689	594	1	math.20221064	math.20221064	NOUN
ejpam-4689	594	2	[	[	X
ejpam-4689	594	3	6	6	NUM
ejpam-4689	594	4	]	]	X
ejpam-4689	594	5	waqar	waqar	PROPN
ejpam-4689	594	6	afzal	afzal	PROPN
ejpam-4689	594	7	,	,	PUNCT
ejpam-4689	594	8	waqas	waqas	PROPN
ejpam-4689	594	9	nazeer	nazeer	PROPN
ejpam-4689	594	10	,	,	PUNCT
ejpam-4689	594	11	thongchai	thongchai	PROPN
ejpam-4689	594	12	botmart	botmart	NOUN
ejpam-4689	594	13	,	,	PUNCT
ejpam-4689	594	14	savin	savin	NOUN
ejpam-4689	594	15	treanţă.	treanţă.	NOUN
ejpam-4689	594	16	some	some	DET
ejpam-4689	594	17	properties	property	NOUN
ejpam-4689	594	18	and	and	CCONJ
ejpam-4689	594	19	inequalities	inequality	NOUN
ejpam-4689	594	20	for	for	ADP
ejpam-4689	594	21	generalized	generalized	ADJ
ejpam-4689	594	22	class	class	NOUN
ejpam-4689	594	23	of	of	ADP
ejpam-4689	594	24	harmonical	harmonical	ADJ
ejpam-4689	594	25	godunova	godunova	PROPN
ejpam-4689	594	26	-	-	PUNCT
ejpam-4689	594	27	levin	levin	PROPN
ejpam-4689	594	28	function	function	PROPN
ejpam-4689	594	29	via	via	ADP
ejpam-4689	594	30	center	center	ADJ
ejpam-4689	594	31	radius	radius	NOUN
ejpam-4689	594	32	order	order	NOUN
ejpam-4689	594	33	relation[j	relation[j	NOUN
ejpam-4689	594	34	]	]	PUNCT
ejpam-4689	594	35	.	.	PUNCT
ejpam-4689	594	36	aims	aim	VERB
ejpam-4689	594	37	mathematics	mathematic	NOUN
ejpam-4689	594	38	,	,	PUNCT
ejpam-4689	594	39	2023	2023	NUM
ejpam-4689	594	40	,	,	PUNCT
ejpam-4689	594	41	8(1	8(1	NOUN
ejpam-4689	594	42	):	):	PUNCT
ejpam-4689	594	43	1696	1696	NUM
ejpam-4689	594	44	-	-	SYM
ejpam-4689	594	45	1712	1712	NUM
ejpam-4689	594	46	.	.	PUNCT
ejpam-4689	595	1	doi	doi	NOUN
ejpam-4689	595	2	:	:	PUNCT
ejpam-4689	595	3	10.3934	10.3934	NUM
ejpam-4689	595	4	/	/	SYM
ejpam-4689	596	1	math.2023087	math.2023087	NOUN
ejpam-4689	596	2	[	[	X
ejpam-4689	596	3	7	7	NUM
ejpam-4689	596	4	]	]	X
ejpam-4689	596	5	waqar	waqar	PROPN
ejpam-4689	596	6	afzal	afzal	PROPN
ejpam-4689	596	7	,	,	PUNCT
ejpam-4689	596	8	khurram	khurram	PROPN
ejpam-4689	596	9	shabbir	shabbir	PROPN
ejpam-4689	596	10	,	,	PUNCT
ejpam-4689	596	11	thongchai	thongchai	NOUN
ejpam-4689	596	12	botmart	botmart	NOUN
ejpam-4689	596	13	,	,	PUNCT
ejpam-4689	596	14	savin	savin	NOUN
ejpam-4689	596	15	treanţă.	treanţă.	NOUN
ejpam-4689	596	16	some	some	DET
ejpam-4689	596	17	new	new	ADJ
ejpam-4689	596	18	estimates	estimate	NOUN
ejpam-4689	596	19	of	of	ADP
ejpam-4689	596	20	well	well	ADV
ejpam-4689	596	21	known	know	VERB
ejpam-4689	596	22	inequalities	inequality	NOUN
ejpam-4689	596	23	for	for	ADP
ejpam-4689	596	24	(	(	PUNCT
ejpam-4689	596	25	h1,h2)-godunova	h1,h2)-godunova	ADJ
ejpam-4689	596	26	-	-	PUNCT
ejpam-4689	596	27	levin	levin	NOUN
ejpam-4689	596	28	functions	function	NOUN
ejpam-4689	596	29	by	by	ADP
ejpam-4689	596	30	means	mean	NOUN
ejpam-4689	596	31	of	of	ADP
ejpam-4689	596	32	center	center	ADJ
ejpam-4689	596	33	-	-	PUNCT
ejpam-4689	596	34	radius	radius	NOUN
ejpam-4689	596	35	order	order	NOUN
ejpam-4689	596	36	relation[j	relation[j	NOUN
ejpam-4689	596	37	]	]	PUNCT
ejpam-4689	596	38	.	.	PUNCT
ejpam-4689	597	1	aims	aim	VERB
ejpam-4689	597	2	mathematics	mathematic	NOUN
ejpam-4689	597	3	,	,	PUNCT
ejpam-4689	597	4	2023	2023	NUM
ejpam-4689	597	5	,	,	PUNCT
ejpam-4689	597	6	8(2	8(2	NUM
ejpam-4689	597	7	):	):	PUNCT
ejpam-4689	597	8	3101	3101	NUM
ejpam-4689	597	9	-	-	SYM
ejpam-4689	597	10	3119	3119	NUM
ejpam-4689	597	11	.	.	PUNCT
ejpam-4689	598	1	doi	doi	NOUN
ejpam-4689	598	2	:	:	PUNCT
ejpam-4689	598	3	10.3934	10.3934	NUM
ejpam-4689	598	4	/	/	SYM
ejpam-4689	598	5	math.2023160	math.2023160	PROPN
ejpam-4689	598	6	references	reference	VERB
ejpam-4689	598	7	520	520	NUM
ejpam-4689	598	8	[	[	NOUN
ejpam-4689	598	9	8	8	NUM
ejpam-4689	598	10	]	]	PUNCT
ejpam-4689	598	11	aljaaidi	aljaaidi	VERB
ejpam-4689	598	12	,	,	PUNCT
ejpam-4689	598	13	t.a	t.a	PROPN
ejpam-4689	598	14	.	.	PROPN
ejpam-4689	598	15	;	;	PUNCT
ejpam-4689	598	16	pachpatte	pachpatte	PROPN
ejpam-4689	598	17	,	,	PUNCT
ejpam-4689	598	18	d.b	d.b	PROPN
ejpam-4689	598	19	.	.	PUNCT
ejpam-4689	599	1	the	the	DET
ejpam-4689	599	2	minkowski	minkowski	PROPN
ejpam-4689	599	3	’s	’s	PART
ejpam-4689	599	4	inequalities	inequality	NOUN
ejpam-4689	599	5	via	via	ADP
ejpam-4689	599	6	f	f	PROPN
ejpam-4689	599	7	–	–	PUNCT
ejpam-4689	599	8	riemann	riemann	PROPN
ejpam-4689	599	9	–	–	PUNCT
ejpam-4689	599	10	liouville	liouville	VERB
ejpam-4689	599	11	fractional	fractional	ADJ
ejpam-4689	599	12	integral	integral	ADJ
ejpam-4689	599	13	operators	operator	NOUN
ejpam-4689	599	14	.	.	PUNCT
ejpam-4689	600	1	rendiconti	rendiconti	ADJ
ejpam-4689	600	2	del	del	PROPN
ejpam-4689	600	3	circolo	circolo	PROPN
ejpam-4689	600	4	matematico	matematico	NOUN
ejpam-4689	600	5	di	di	PROPN
ejpam-4689	600	6	palermo	palermo	PROPN
ejpam-4689	600	7	series	series	PROPN
ejpam-4689	600	8	2	2	NUM
ejpam-4689	600	9	2021	2021	NUM
ejpam-4689	600	10	,	,	PUNCT
ejpam-4689	600	11	70	70	NUM
ejpam-4689	600	12	,	,	PUNCT
ejpam-4689	600	13	893–906	893–906	NUM
ejpam-4689	600	14	.	.	PUNCT
ejpam-4689	601	1	[	[	X
ejpam-4689	601	2	9	9	NUM
ejpam-4689	601	3	]	]	X
ejpam-4689	601	4	awan	awan	PROPN
ejpam-4689	601	5	,	,	PUNCT
ejpam-4689	601	6	m.u	m.u	PROPN
ejpam-4689	601	7	.	.	PROPN
ejpam-4689	601	8	;	;	PUNCT
ejpam-4689	601	9	talib	talib	PROPN
ejpam-4689	601	10	,	,	PUNCT
ejpam-4689	601	11	s.	s.	PROPN
ejpam-4689	601	12	;	;	PUNCT
ejpam-4689	601	13	chu	chu	PROPN
ejpam-4689	601	14	,	,	PUNCT
ejpam-4689	601	15	y.m	y.m	PROPN
ejpam-4689	601	16	.	.	PROPN
ejpam-4689	601	17	;	;	PUNCT
ejpam-4689	601	18	noor	noor	PROPN
ejpam-4689	601	19	,	,	PUNCT
ejpam-4689	601	20	m.a	m.a	PROPN
ejpam-4689	601	21	.	.	PROPN
ejpam-4689	601	22	;	;	PUNCT
ejpam-4689	601	23	noor	noor	PROPN
ejpam-4689	601	24	,	,	PUNCT
ejpam-4689	601	25	k.i	k.i	PROPN
ejpam-4689	601	26	.	.	PUNCT
ejpam-4689	602	1	some	some	DET
ejpam-4689	602	2	new	new	ADJ
ejpam-4689	602	3	refinements	refinement	NOUN
ejpam-4689	602	4	of	of	ADP
ejpam-4689	602	5	hermite	hermite	ADJ
ejpam-4689	602	6	–	–	PUNCT
ejpam-4689	602	7	hadamard	hadamard	ADJ
ejpam-4689	602	8	–	–	PUNCT
ejpam-4689	602	9	type	type	NOUN
ejpam-4689	602	10	inequalities	inequality	NOUN
ejpam-4689	602	11	involving	involve	VERB
ejpam-4689	602	12	-	-	PUNCT
ejpam-4689	602	13	riemann	riemann	NOUN
ejpam-4689	602	14	–	–	PUNCT
ejpam-4689	602	15	liouville	liouville	VERB
ejpam-4689	602	16	fractional	fractional	ADJ
ejpam-4689	602	17	integrals	integral	NOUN
ejpam-4689	602	18	and	and	CCONJ
ejpam-4689	602	19	applications	application	NOUN
ejpam-4689	602	20	.	.	PUNCT
ejpam-4689	603	1	math	math	NOUN
ejpam-4689	603	2	.	.	PUNCT
ejpam-4689	604	1	probl	probl	PROPN
ejpam-4689	604	2	.	.	PUNCT
ejpam-4689	605	1	eng	eng	PROPN
ejpam-4689	605	2	.	.	PROPN
ejpam-4689	605	3	2020	2020	NUM
ejpam-4689	605	4	,	,	PUNCT
ejpam-4689	605	5	2020	2020	NUM
ejpam-4689	605	6	,	,	PUNCT
ejpam-4689	605	7	3051920	3051920	NUM
ejpam-4689	605	8	.	.	PUNCT
ejpam-4689	606	1	[	[	X
ejpam-4689	606	2	10	10	NUM
ejpam-4689	606	3	]	]	X
ejpam-4689	606	4	butt	butt	NOUN
ejpam-4689	606	5	,	,	PUNCT
ejpam-4689	606	6	s.i	s.i	PROPN
ejpam-4689	606	7	.	.	PROPN
ejpam-4689	606	8	;	;	PUNCT
ejpam-4689	606	9	tariq	tariq	PROPN
ejpam-4689	606	10	,	,	PUNCT
ejpam-4689	606	11	m.	m.	NOUN
ejpam-4689	606	12	;	;	PUNCT
ejpam-4689	606	13	aslam	aslam	PROPN
ejpam-4689	606	14	,	,	PUNCT
ejpam-4689	606	15	a.	a.	PROPN
ejpam-4689	606	16	;	;	PUNCT
ejpam-4689	606	17	ahmad	ahmad	PROPN
ejpam-4689	606	18	,	,	PUNCT
ejpam-4689	606	19	h.	h.	PROPN
ejpam-4689	606	20	;	;	PUNCT
ejpam-4689	606	21	nofal	nofal	PROPN
ejpam-4689	606	22	,	,	PUNCT
ejpam-4689	606	23	t.a	t.a	PROPN
ejpam-4689	606	24	.	.	PROPN
ejpam-4689	606	25	hermite	hermite	PROPN
ejpam-4689	606	26	–	–	PUNCT
ejpam-4689	606	27	hadamard	hadamard	ADJ
ejpam-4689	606	28	type	type	NOUN
ejpam-4689	606	29	inequalities	inequality	NOUN
ejpam-4689	606	30	via	via	ADP
ejpam-4689	606	31	generalized	generalized	ADJ
ejpam-4689	606	32	harmonic	harmonic	ADJ
ejpam-4689	606	33	exponential	exponential	ADJ
ejpam-4689	606	34	convexity	convexity	NOUN
ejpam-4689	606	35	and	and	CCONJ
ejpam-4689	606	36	applications	application	NOUN
ejpam-4689	606	37	.	.	PUNCT
ejpam-4689	607	1	j.	j.	PROPN
ejpam-4689	607	2	funct	funct	PROPN
ejpam-4689	607	3	.	.	PUNCT
ejpam-4689	608	1	spaces	space	NOUN
ejpam-4689	608	2	2021	2021	NUM
ejpam-4689	608	3	,	,	PUNCT
ejpam-4689	608	4	2021	2021	NUM
ejpam-4689	608	5	,	,	PUNCT
ejpam-4689	608	6	5533491	5533491	NUM
ejpam-4689	608	7	.	.	PUNCT
ejpam-4689	609	1	[	[	X
ejpam-4689	609	2	11	11	NUM
ejpam-4689	609	3	]	]	X
ejpam-4689	609	4	chandola	chandola	PROPN
ejpam-4689	609	5	a.	a.	PROPN
ejpam-4689	609	6	,	,	PUNCT
ejpam-4689	609	7	agarwal	agarwal	PROPN
ejpam-4689	609	8	r.	r.	PROPN
ejpam-4689	609	9	,	,	PUNCT
ejpam-4689	609	10	pandey	pandey	PROPN
ejpam-4689	609	11	m.	m.	PROPN
ejpam-4689	609	12	r.	r.	PROPN
ejpam-4689	609	13	,	,	PUNCT
ejpam-4689	609	14	some	some	DET
ejpam-4689	609	15	new	new	ADJ
ejpam-4689	609	16	hermite	hermite	ADJ
ejpam-4689	609	17	–	–	PUNCT
ejpam-4689	609	18	hadamard	hadamard	ADJ
ejpam-4689	609	19	,	,	PUNCT
ejpam-4689	609	20	hermite	hermite	ADJ
ejpam-4689	609	21	–	–	PUNCT
ejpam-4689	609	22	hadamard	hadamard	NOUN
ejpam-4689	609	23	fejer	fejer	NOUN
ejpam-4689	609	24	and	and	CCONJ
ejpam-4689	609	25	weighted	weight	VERB
ejpam-4689	609	26	hardy	hardy	ADJ
ejpam-4689	609	27	type	type	NOUN
ejpam-4689	609	28	inequalities	inequality	NOUN
ejpam-4689	609	29	involving	involve	VERB
ejpam-4689	609	30	(	(	PUNCT
ejpam-4689	609	31	k	k	X
ejpam-4689	609	32	-	-	ADJ
ejpam-4689	609	33	p	p	ADJ
ejpam-4689	609	34	)	)	PUNCT
ejpam-4689	609	35	riemann	riemann	PROPN
ejpam-4689	609	36	–	–	PUNCT
ejpam-4689	609	37	liouville	liouville	VERB
ejpam-4689	609	38	fractional	fractional	ADJ
ejpam-4689	609	39	integral	integral	ADJ
ejpam-4689	609	40	operator	operator	NOUN
ejpam-4689	609	41	,	,	PUNCT
ejpam-4689	609	42	appl	appl	PROPN
ejpam-4689	609	43	.	.	PROPN
ejpam-4689	609	44	math	math	PROPN
ejpam-4689	609	45	.	.	PUNCT
ejpam-4689	610	1	inf	inf	PROPN
ejpam-4689	610	2	.	.	PUNCT
ejpam-4689	611	1	sci	sci	PROPN
ejpam-4689	611	2	.	.	PROPN
ejpam-4689	612	1	16	16	NUM
ejpam-4689	612	2	,	,	PUNCT
ejpam-4689	612	3	no	no	INTJ
ejpam-4689	612	4	.	.	NOUN
ejpam-4689	612	5	2	2	NUM
ejpam-4689	612	6	,	,	PUNCT
ejpam-4689	612	7	287–297	287–297	NUM
ejpam-4689	612	8	(	(	PUNCT
ejpam-4689	612	9	2022	2022	NUM
ejpam-4689	612	10	)	)	PUNCT
ejpam-4689	612	11	.	.	PUNCT
ejpam-4689	613	1	[	[	X
ejpam-4689	613	2	12	12	NUM
ejpam-4689	613	3	]	]	X
ejpam-4689	613	4	chen	chen	PROPN
ejpam-4689	613	5	,	,	PUNCT
ejpam-4689	613	6	h.	h.	PROPN
ejpam-4689	613	7	,	,	PUNCT
ejpam-4689	613	8	katugampola	katugampola	PROPN
ejpam-4689	613	9	,	,	PUNCT
ejpam-4689	613	10	u.n	u.n	PROPN
ejpam-4689	613	11	.	.	PROPN
ejpam-4689	613	12	hermite	hermite	PROPN
ejpam-4689	613	13	–	–	PUNCT
ejpam-4689	613	14	hadamard	hadamard	ADJ
ejpam-4689	613	15	and	and	CCONJ
ejpam-4689	613	16	hermite	hermite	ADJ
ejpam-4689	613	17	–	–	PUNCT
ejpam-4689	613	18	hadamard	hadamard	ADJ
ejpam-4689	613	19	–	–	PUNCT
ejpam-4689	613	20	fejr	fejr	ADJ
ejpam-4689	613	21	type	type	NOUN
ejpam-4689	613	22	inequalities	inequality	NOUN
ejpam-4689	613	23	for	for	ADP
ejpam-4689	613	24	generalized	generalized	ADJ
ejpam-4689	613	25	fractional	fractional	ADJ
ejpam-4689	613	26	integrals	integral	NOUN
ejpam-4689	613	27	.	.	PUNCT
ejpam-4689	614	1	j.	j.	PROPN
ejpam-4689	614	2	math	math	PROPN
ejpam-4689	614	3	.	.	PUNCT
ejpam-4689	615	1	anal	anal	PROPN
ejpam-4689	615	2	.	.	PUNCT
ejpam-4689	615	3	appl	appl	PROPN
ejpam-4689	615	4	.	.	PROPN
ejpam-4689	616	1	2017	2017	NUM
ejpam-4689	616	2	,	,	PUNCT
ejpam-4689	616	3	446	446	NUM
ejpam-4689	616	4	,	,	PUNCT
ejpam-4689	616	5	1274–1291	1274–1291	NUM
ejpam-4689	616	6	.	.	PUNCT
ejpam-4689	617	1	[	[	X
ejpam-4689	617	2	13	13	NUM
ejpam-4689	617	3	]	]	X
ejpam-4689	617	4	fang	fang	PROPN
ejpam-4689	617	5	z.	z.	PROPN
ejpam-4689	617	6	,	,	PUNCT
ejpam-4689	617	7	shi	shi	PROPN
ejpam-4689	617	8	r.	r.	PROPN
ejpam-4689	617	9	,	,	PUNCT
ejpam-4689	617	10	on	on	ADP
ejpam-4689	617	11	the	the	DET
ejpam-4689	617	12	(	(	PUNCT
ejpam-4689	617	13	p	p	NOUN
ejpam-4689	617	14	,	,	PUNCT
ejpam-4689	617	15	h)–convex	h)–convex	NUM
ejpam-4689	617	16	function	function	NOUN
ejpam-4689	617	17	and	and	CCONJ
ejpam-4689	617	18	some	some	DET
ejpam-4689	617	19	integral	integral	ADJ
ejpam-4689	617	20	inequalities	inequality	NOUN
ejpam-4689	617	21	journal	journal	PROPN
ejpam-4689	617	22	of	of	ADP
ejpam-4689	617	23	inequalities	inequality	NOUN
ejpam-4689	617	24	and	and	CCONJ
ejpam-4689	617	25	applications	application	NOUN
ejpam-4689	617	26	,	,	PUNCT
ejpam-4689	617	27	2014	2014	NUM
ejpam-4689	617	28	,	,	PUNCT
ejpam-4689	617	29	45	45	NUM
ejpam-4689	617	30	[	[	SYM
ejpam-4689	617	31	14	14	NUM
ejpam-4689	617	32	]	]	X
ejpam-4689	617	33	farissi	farissi	ADJ
ejpam-4689	617	34	,	,	PUNCT
ejpam-4689	617	35	a.	a.	NOUN
ejpam-4689	617	36	;	;	PUNCT
ejpam-4689	617	37	latreuch	latreuch	ADJ
ejpam-4689	617	38	,	,	PUNCT
ejpam-4689	617	39	z.	z.	PROPN
ejpam-4689	617	40	new	new	ADJ
ejpam-4689	617	41	type	type	NOUN
ejpam-4689	617	42	of	of	ADP
ejpam-4689	617	43	chebychev	chebychev	NOUN
ejpam-4689	617	44	-	-	PUNCT
ejpam-4689	617	45	grss	grss	NOUN
ejpam-4689	617	46	inequalities	inequality	NOUN
ejpam-4689	617	47	for	for	ADP
ejpam-4689	617	48	convex	convex	NOUN
ejpam-4689	617	49	functions	function	NOUN
ejpam-4689	617	50	.	.	PUNCT
ejpam-4689	618	1	acta	acta	PROPN
ejpam-4689	618	2	univ	univ	PROPN
ejpam-4689	618	3	.	.	PUNCT
ejpam-4689	619	1	apulensis	apulensis	NOUN
ejpam-4689	619	2	2013	2013	NUM
ejpam-4689	619	3	,	,	PUNCT
ejpam-4689	619	4	34	34	NUM
ejpam-4689	619	5	,	,	PUNCT
ejpam-4689	619	6	235–245	235–245	NUM
ejpam-4689	619	7	.	.	PUNCT
ejpam-4689	620	1	[	[	X
ejpam-4689	620	2	15	15	NUM
ejpam-4689	620	3	]	]	X
ejpam-4689	620	4	guran	guran	NOUN
ejpam-4689	620	5	,	,	PUNCT
ejpam-4689	620	6	l.	l.	PROPN
ejpam-4689	620	7	;	;	PUNCT
ejpam-4689	620	8	mitrović	mitrović	NUM
ejpam-4689	620	9	,	,	PUNCT
ejpam-4689	620	10	z.d	z.d	PROPN
ejpam-4689	620	11	.	.	PROPN
ejpam-4689	620	12	;	;	PUNCT
ejpam-4689	620	13	reddy	reddy	PROPN
ejpam-4689	620	14	,	,	PUNCT
ejpam-4689	620	15	g.s.m	g.s.m	NOUN
ejpam-4689	620	16	.	.	PUNCT
ejpam-4689	620	17	;	;	PUNCT
ejpam-4689	620	18	belhenniche	belhenniche	PROPN
ejpam-4689	620	19	,	,	PUNCT
ejpam-4689	620	20	a.	a.	NOUN
ejpam-4689	620	21	;	;	PUNCT
ejpam-4689	620	22	radenović	radenović	ADJ
ejpam-4689	620	23	,	,	PUNCT
ejpam-4689	620	24	s.	s.	PROPN
ejpam-4689	620	25	applications	application	NOUN
ejpam-4689	620	26	of	of	ADP
ejpam-4689	620	27	a	a	DET
ejpam-4689	620	28	fixed	fix	VERB
ejpam-4689	620	29	point	point	NOUN
ejpam-4689	620	30	result	result	NOUN
ejpam-4689	620	31	for	for	ADP
ejpam-4689	620	32	solving	solve	VERB
ejpam-4689	620	33	nonlinear	nonlinear	ADJ
ejpam-4689	620	34	fractional	fractional	ADJ
ejpam-4689	620	35	and	and	CCONJ
ejpam-4689	620	36	integral	integral	ADJ
ejpam-4689	620	37	differential	differential	ADJ
ejpam-4689	620	38	equations	equation	NOUN
ejpam-4689	620	39	.	.	PUNCT
ejpam-4689	621	1	fractal	fractal	ADJ
ejpam-4689	621	2	fract	fract	PROPN
ejpam-4689	621	3	.	.	PUNCT
ejpam-4689	622	1	2021	2021	NUM
ejpam-4689	622	2	,	,	PUNCT
ejpam-4689	622	3	5	5	NUM
ejpam-4689	622	4	,	,	PUNCT
ejpam-4689	622	5	211	211	NUM
ejpam-4689	622	6	.	.	PUNCT
ejpam-4689	623	1	[	[	X
ejpam-4689	623	2	16	16	NUM
ejpam-4689	623	3	]	]	X
ejpam-4689	623	4	hadamard	hadamard	NOUN
ejpam-4689	623	5	,	,	PUNCT
ejpam-4689	623	6	j.	j.	PROPN
ejpam-4689	623	7	étude	étude	PROPN
ejpam-4689	623	8	sur	sur	PROPN
ejpam-4689	623	9	les	les	PROPN
ejpam-4689	623	10	propriétés	propriétés	PROPN
ejpam-4689	623	11	des	des	PROPN
ejpam-4689	623	12	fonctions	fonctions	PROPN
ejpam-4689	623	13	entiéres	entiéres	ADP
ejpam-4689	623	14	en	en	X
ejpam-4689	623	15	particulier	particulier	NOUN
ejpam-4689	623	16	d’une	d’une	CCONJ
ejpam-4689	623	17	fonction	fonction	PROPN
ejpam-4689	623	18	considéréé	considéréé	PROPN
ejpam-4689	623	19	par	par	PROPN
ejpam-4689	623	20	riemann	riemann	PROPN
ejpam-4689	623	21	.	.	PUNCT
ejpam-4689	624	1	j.	j.	PROPN
ejpam-4689	624	2	math	math	PROPN
ejpam-4689	624	3	.	.	PUNCT
ejpam-4689	625	1	pures	pure	NOUN
ejpam-4689	625	2	appl	appl	PROPN
ejpam-4689	625	3	.	.	PROPN
ejpam-4689	625	4	1893	1893	NUM
ejpam-4689	625	5	,	,	PUNCT
ejpam-4689	625	6	58	58	NUM
ejpam-4689	625	7	,	,	PUNCT
ejpam-4689	625	8	171–215	171–215	NUM
ejpam-4689	625	9	.	.	PUNCT
ejpam-4689	626	1	[	[	X
ejpam-4689	626	2	17	17	NUM
ejpam-4689	626	3	]	]	SYM
ejpam-4689	626	4	han	han	PROPN
ejpam-4689	626	5	,	,	PUNCT
ejpam-4689	626	6	j.	j.	PROPN
ejpam-4689	626	7	;	;	PUNCT
ejpam-4689	626	8	mohammed	mohammed	PROPN
ejpam-4689	626	9	,	,	PUNCT
ejpam-4689	626	10	p.o	p.o	PROPN
ejpam-4689	626	11	.	.	PROPN
ejpam-4689	626	12	;	;	PUNCT
ejpam-4689	626	13	zeng	zeng	PROPN
ejpam-4689	626	14	,	,	PUNCT
ejpam-4689	626	15	h.	h.	PROPN
ejpam-4689	626	16	generalized	generalize	VERB
ejpam-4689	626	17	fractional	fractional	ADJ
ejpam-4689	626	18	integral	integral	ADJ
ejpam-4689	626	19	inequalities	inequality	NOUN
ejpam-4689	626	20	of	of	ADP
ejpam-4689	626	21	hermite	hermite	ADJ
ejpam-4689	626	22	–	–	PUNCT
ejpam-4689	626	23	hadamard	hadamard	ADJ
ejpam-4689	626	24	–	–	PUNCT
ejpam-4689	626	25	type	type	NOUN
ejpam-4689	626	26	for	for	ADP
ejpam-4689	626	27	a	a	DET
ejpam-4689	626	28	convex	convex	NOUN
ejpam-4689	626	29	function	function	NOUN
ejpam-4689	626	30	.	.	PUNCT
ejpam-4689	627	1	open	open	ADJ
ejpam-4689	627	2	math	math	NOUN
ejpam-4689	627	3	.	.	PUNCT
ejpam-4689	628	1	2020	2020	NUM
ejpam-4689	628	2	,	,	PUNCT
ejpam-4689	628	3	18	18	NUM
ejpam-4689	628	4	,	,	PUNCT
ejpam-4689	628	5	794–806	794–806	NUM
ejpam-4689	628	6	.	.	PUNCT
ejpam-4689	629	1	[	[	X
ejpam-4689	629	2	18	18	NUM
ejpam-4689	629	3	]	]	X
ejpam-4689	629	4	hermann	hermann	PROPN
ejpam-4689	629	5	,	,	PUNCT
ejpam-4689	629	6	r.	r.	PROPN
ejpam-4689	629	7	fractional	fractional	PROPN
ejpam-4689	629	8	calculus	calculus	PROPN
ejpam-4689	629	9	an	an	DET
ejpam-4689	629	10	introduction	introduction	NOUN
ejpam-4689	629	11	for	for	ADP
ejpam-4689	629	12	physicists	physicist	NOUN
ejpam-4689	629	13	;	;	PUNCT
ejpam-4689	629	14	world	world	NOUN
ejpam-4689	629	15	scientific	scientific	PROPN
ejpam-4689	629	16	publishing	publishing	PROPN
ejpam-4689	629	17	co.	co.	PROPN
ejpam-4689	629	18	pte	pte	PROPN
ejpam-4689	629	19	.	.	PROPN
ejpam-4689	629	20	ltd	ltd	PROPN
ejpam-4689	629	21	.	.	PROPN
ejpam-4689	629	22	:	:	PUNCT
ejpam-4689	629	23	singapore	singapore	PROPN
ejpam-4689	629	24	,	,	PUNCT
ejpam-4689	629	25	2011	2011	NUM
ejpam-4689	629	26	.	.	PUNCT
ejpam-4689	630	1	[	[	X
ejpam-4689	630	2	19	19	NUM
ejpam-4689	630	3	]	]	X
ejpam-4689	630	4	hudzik	hudzik	ADV
ejpam-4689	630	5	,	,	PUNCT
ejpam-4689	630	6	h	h	NOUN
ejpam-4689	630	7	,	,	PUNCT
ejpam-4689	630	8	maligranda	maligranda	NOUN
ejpam-4689	630	9	,	,	PUNCT
ejpam-4689	630	10	l	l	NOUN
ejpam-4689	630	11	:	:	PUNCT
ejpam-4689	630	12	some	some	DET
ejpam-4689	630	13	remarks	remark	NOUN
ejpam-4689	630	14	on	on	ADP
ejpam-4689	630	15	s	s	NOUN
ejpam-4689	630	16	-	-	PUNCT
ejpam-4689	630	17	convex	convex	NOUN
ejpam-4689	630	18	functions	function	NOUN
ejpam-4689	630	19	.	.	PUNCT
ejpam-4689	631	1	aequ	aequ	PROPN
ejpam-4689	631	2	.	.	PUNCT
ejpam-4689	632	1	math	math	NOUN
ejpam-4689	632	2	.	.	PUNCT
ejpam-4689	633	1	48	48	NUM
ejpam-4689	633	2	,	,	PUNCT
ejpam-4689	633	3	100	100	NUM
ejpam-4689	633	4	-	-	SYM
ejpam-4689	633	5	111	111	NUM
ejpam-4689	633	6	(	(	PUNCT
ejpam-4689	633	7	1994	1994	NUM
ejpam-4689	633	8	)	)	PUNCT
ejpam-4689	634	1	[	[	X
ejpam-4689	634	2	20	20	NUM
ejpam-4689	634	3	]	]	X
ejpam-4689	634	4	jia	jia	PROPN
ejpam-4689	634	5	,	,	PUNCT
ejpam-4689	634	6	w.	w.	PROPN
ejpam-4689	634	7	;	;	PUNCT
ejpam-4689	634	8	yussouf	yussouf	PROPN
ejpam-4689	634	9	,	,	PUNCT
ejpam-4689	634	10	m.	m.	NOUN
ejpam-4689	634	11	;	;	PUNCT
ejpam-4689	634	12	farid	farid	PROPN
ejpam-4689	634	13	,	,	PUNCT
ejpam-4689	634	14	g.	g.	PROPN
ejpam-4689	634	15	;	;	PUNCT
ejpam-4689	634	16	khan	khan	PROPN
ejpam-4689	634	17	,	,	PUNCT
ejpam-4689	634	18	k.a	k.a	PROPN
ejpam-4689	634	19	.	.	PROPN
ejpam-4689	634	20	hadamard	hadamard	PROPN
ejpam-4689	634	21	and	and	CCONJ
ejpam-4689	634	22	fejér	fejér	NOUN
ejpam-4689	634	23	–	–	PUNCT
ejpam-4689	634	24	hadamard	hadamard	ADJ
ejpam-4689	634	25	inequalities	inequality	NOUN
ejpam-4689	634	26	for	for	ADP
ejpam-4689	634	27	(	(	PUNCT
ejpam-4689	634	28	α	α	NOUN
ejpam-4689	634	29	,	,	PUNCT
ejpam-4689	634	30	h	h	PROPN
ejpam-4689	634	31	–	–	PUNCT
ejpam-4689	634	32	m)–p	m)–p	PROPN
ejpam-4689	634	33	–	–	PUNCT
ejpam-4689	634	34	convex	convex	NOUN
ejpam-4689	634	35	functions	function	NOUN
ejpam-4689	634	36	via	via	ADP
ejpam-4689	634	37	riemann	riemann	PROPN
ejpam-4689	634	38	–	–	PUNCT
ejpam-4689	634	39	liouville	liouville	VERB
ejpam-4689	634	40	fractional	fractional	ADJ
ejpam-4689	634	41	integrals	integral	NOUN
ejpam-4689	634	42	.	.	PUNCT
ejpam-4689	635	1	math	math	NOUN
ejpam-4689	635	2	.	.	PUNCT
ejpam-4689	636	1	probl	probl	PROPN
ejpam-4689	636	2	.	.	PUNCT
ejpam-4689	637	1	eng	eng	PROPN
ejpam-4689	637	2	.	.	PROPN
ejpam-4689	637	3	2021	2021	NUM
ejpam-4689	637	4	,	,	PUNCT
ejpam-4689	637	5	2021	2021	NUM
ejpam-4689	637	6	,	,	PUNCT
ejpam-4689	637	7	12	12	NUM
ejpam-4689	637	8	.	.	PUNCT
ejpam-4689	637	9	references	reference	NOUN
ejpam-4689	637	10	521	521	NUM
ejpam-4689	637	11	[	[	X
ejpam-4689	637	12	21	21	NUM
ejpam-4689	637	13	]	]	X
ejpam-4689	637	14	katugampola	katugampola	PROPN
ejpam-4689	637	15	u.	u.	PROPN
ejpam-4689	637	16	,	,	PUNCT
ejpam-4689	637	17	a	a	DET
ejpam-4689	637	18	new	new	ADJ
ejpam-4689	637	19	approach	approach	NOUN
ejpam-4689	637	20	to	to	ADP
ejpam-4689	637	21	generalized	generalized	ADJ
ejpam-4689	637	22	fractional	fractional	ADJ
ejpam-4689	637	23	derivatives	derivative	NOUN
ejpam-4689	637	24	,	,	PUNCT
ejpam-4689	637	25	bulletin	bulletin	NOUN
ejpam-4689	637	26	of	of	ADP
ejpam-4689	637	27	mathematical	mathematical	ADJ
ejpam-4689	637	28	analysis	analysis	NOUN
ejpam-4689	637	29	and	and	CCONJ
ejpam-4689	637	30	applications	application	NOUN
ejpam-4689	637	31	issn	issn	PROPN
ejpam-4689	637	32	:	:	PUNCT
ejpam-4689	637	33	1821–1291	1821–1291	NUM
ejpam-4689	637	34	,	,	PUNCT
ejpam-4689	637	35	volume	volume	NOUN
ejpam-4689	637	36	6	6	NUM
ejpam-4689	637	37	issue	issue	NOUN
ejpam-4689	637	38	4	4	NUM
ejpam-4689	637	39	(	(	PUNCT
ejpam-4689	637	40	2014	2014	NUM
ejpam-4689	637	41	)	)	PUNCT
ejpam-4689	637	42	,	,	PUNCT
ejpam-4689	637	43	pages	page	NOUN
ejpam-4689	637	44	1–15	1–15	PROPN
ejpam-4689	638	1	[	[	X
ejpam-4689	638	2	22	22	NUM
ejpam-4689	638	3	]	]	X
ejpam-4689	638	4	kodamasingh	kodamasingh	PROPN
ejpam-4689	638	5	,	,	PUNCT
ejpam-4689	638	6	b.	b.	PROPN
ejpam-4689	638	7	;	;	PUNCT
ejpam-4689	638	8	sahoo	sahoo	PROPN
ejpam-4689	638	9	,	,	PUNCT
ejpam-4689	638	10	s.k	s.k	PROPN
ejpam-4689	638	11	.	.	PUNCT
ejpam-4689	638	12	;	;	PUNCT
ejpam-4689	638	13	shaikh	shaikh	PROPN
ejpam-4689	638	14	,	,	PUNCT
ejpam-4689	638	15	w.a	w.a	PROPN
ejpam-4689	638	16	.	.	PROPN
ejpam-4689	638	17	;	;	PUNCT
ejpam-4689	638	18	nonlaopon	nonlaopon	ADV
ejpam-4689	638	19	,	,	PUNCT
ejpam-4689	638	20	k.	k.	PROPN
ejpam-4689	638	21	;	;	PUNCT
ejpam-4689	638	22	ntouyas	ntouyas	PROPN
ejpam-4689	638	23	,	,	PUNCT
ejpam-4689	638	24	s.k	s.k	PROPN
ejpam-4689	638	25	.	.	PROPN
ejpam-4689	638	26	;	;	PUNCT
ejpam-4689	638	27	tariq	tariq	PROPN
ejpam-4689	638	28	,	,	PUNCT
ejpam-4689	638	29	m.	m.	NOUN
ejpam-4689	638	30	some	some	DET
ejpam-4689	638	31	new	new	ADJ
ejpam-4689	638	32	integral	integral	ADJ
ejpam-4689	638	33	inequalities	inequality	NOUN
ejpam-4689	638	34	involving	involve	VERB
ejpam-4689	638	35	fractional	fractional	ADJ
ejpam-4689	638	36	operator	operator	NOUN
ejpam-4689	638	37	with	with	ADP
ejpam-4689	638	38	applications	application	NOUN
ejpam-4689	638	39	to	to	PART
ejpam-4689	638	40	probability	probability	VERB
ejpam-4689	638	41	density	density	NOUN
ejpam-4689	638	42	functions	function	NOUN
ejpam-4689	638	43	and	and	CCONJ
ejpam-4689	638	44	special	special	ADJ
ejpam-4689	638	45	means	mean	NOUN
ejpam-4689	638	46	.	.	PUNCT
ejpam-4689	639	1	axioms	axiom	VERB
ejpam-4689	639	2	2022	2022	NUM
ejpam-4689	639	3	,	,	PUNCT
ejpam-4689	639	4	11	11	NUM
ejpam-4689	639	5	,	,	PUNCT
ejpam-4689	639	6	602	602	NUM
ejpam-4689	639	7	.	.	PUNCT
ejpam-4689	640	1	https://doi.org/10.3390/axioms11110602	https://doi.org/10.3390/axioms11110602	NOUN
ejpam-4689	641	1	[	[	X
ejpam-4689	641	2	23	23	NUM
ejpam-4689	641	3	]	]	PUNCT
ejpam-4689	641	4	mikić	mikić	PROPN
ejpam-4689	641	5	,	,	PUNCT
ejpam-4689	641	6	r.	r.	PROPN
ejpam-4689	641	7	,	,	PUNCT
ejpam-4689	641	8	pečarić	pečarić	PROPN
ejpam-4689	641	9	,	,	PUNCT
ejpam-4689	641	10	j.	j.	PROPN
ejpam-4689	641	11	and	and	CCONJ
ejpam-4689	641	12	rodić	rodić	NOUN
ejpam-4689	641	13	,	,	PUNCT
ejpam-4689	641	14	m.	m.	PROPN
ejpam-4689	641	15	levinson	levinson	PROPN
ejpam-4689	641	16	’s	’s	PART
ejpam-4689	641	17	type	type	NOUN
ejpam-4689	641	18	generalization	generalization	NOUN
ejpam-4689	641	19	of	of	ADP
ejpam-4689	641	20	the	the	DET
ejpam-4689	641	21	jensen	jensen	PROPN
ejpam-4689	641	22	inequality	inequality	NOUN
ejpam-4689	641	23	and	and	CCONJ
ejpam-4689	641	24	its	its	PRON
ejpam-4689	641	25	converse	converse	NOUN
ejpam-4689	641	26	for	for	ADP
ejpam-4689	641	27	real	real	ADJ
ejpam-4689	641	28	stieltjes	stieltjes	NOUN
ejpam-4689	641	29	measure	measure	NOUN
ejpam-4689	641	30	.	.	PUNCT
ejpam-4689	642	1	j	j	PROPN
ejpam-4689	642	2	inequal	inequal	PROPN
ejpam-4689	642	3	appl	appl	PROPN
ejpam-4689	642	4	2017	2017	NUM
ejpam-4689	642	5	,	,	PUNCT
ejpam-4689	642	6	4	4	NUM
ejpam-4689	642	7	(	(	PUNCT
ejpam-4689	642	8	2017	2017	NUM
ejpam-4689	642	9	)	)	PUNCT
ejpam-4689	642	10	.	.	PUNCT
ejpam-4689	643	1	https://doi.org/10.1186/s13660-016-1274-y	https://doi.org/10.1186/s13660-016-1274-y	PROPN
ejpam-4689	644	1	[	[	X
ejpam-4689	644	2	24	24	NUM
ejpam-4689	644	3	]	]	X
ejpam-4689	644	4	d.	d.	PROPN
ejpam-4689	644	5	s.	s.	PROPN
ejpam-4689	644	6	mitrinović	mitrinović	PROPN
ejpam-4689	644	7	,	,	PUNCT
ejpam-4689	644	8	analytic	analytic	ADJ
ejpam-4689	644	9	inequalities	inequality	NOUN
ejpam-4689	644	10	,	,	PUNCT
ejpam-4689	644	11	springer	springer	NOUN
ejpam-4689	644	12	-	-	PUNCT
ejpam-4689	644	13	verlag	verlag	PROPN
ejpam-4689	644	14	,	,	PUNCT
ejpam-4689	644	15	berlin	berlin	PROPN
ejpam-4689	644	16	,	,	PUNCT
ejpam-4689	644	17	1970	1970	NUM
ejpam-4689	644	18	.	.	PUNCT
ejpam-4689	645	1	[	[	X
ejpam-4689	645	2	25	25	NUM
ejpam-4689	645	3	]	]	PUNCT
ejpam-4689	645	4	mohammed	mohammed	PROPN
ejpam-4689	645	5	,	,	PUNCT
ejpam-4689	645	6	p.o	p.o	PROPN
ejpam-4689	645	7	.	.	PROPN
ejpam-4689	645	8	;	;	PUNCT
ejpam-4689	645	9	abdeljawad	abdeljawad	NOUN
ejpam-4689	645	10	,	,	PUNCT
ejpam-4689	645	11	t.	t.	PROPN
ejpam-4689	645	12	;	;	PUNCT
ejpam-4689	645	13	jarad	jarad	PROPN
ejpam-4689	645	14	,	,	PUNCT
ejpam-4689	645	15	f.	f.	PROPN
ejpam-4689	645	16	;	;	PUNCT
ejpam-4689	645	17	chu	chu	PROPN
ejpam-4689	645	18	,	,	PUNCT
ejpam-4689	645	19	y.m	y.m	PROPN
ejpam-4689	645	20	.	.	PROPN
ejpam-4689	645	21	existence	existence	NOUN
ejpam-4689	645	22	and	and	CCONJ
ejpam-4689	645	23	uniqueness	uniqueness	NOUN
ejpam-4689	645	24	of	of	ADP
ejpam-4689	645	25	uncertain	uncertain	ADJ
ejpam-4689	645	26	fractional	fractional	ADJ
ejpam-4689	645	27	backward	backward	ADJ
ejpam-4689	645	28	difference	difference	NOUN
ejpam-4689	645	29	equations	equation	NOUN
ejpam-4689	645	30	of	of	ADP
ejpam-4689	645	31	riemann	riemann	PROPN
ejpam-4689	645	32	–	–	PUNCT
ejpam-4689	645	33	liouville	liouville	NOUN
ejpam-4689	645	34	type	type	NOUN
ejpam-4689	645	35	.	.	PUNCT
ejpam-4689	645	36	math	math	NOUN
ejpam-4689	645	37	.	.	PUNCT
ejpam-4689	646	1	probl	probl	PROPN
ejpam-4689	646	2	.	.	PUNCT
ejpam-4689	647	1	eng	eng	PROPN
ejpam-4689	647	2	.	.	PROPN
ejpam-4689	647	3	2020	2020	NUM
ejpam-4689	647	4	,	,	PUNCT
ejpam-4689	647	5	2020	2020	NUM
ejpam-4689	647	6	,	,	PUNCT
ejpam-4689	647	7	6598682	6598682	NUM
ejpam-4689	647	8	.	.	PUNCT
ejpam-4689	648	1	[	[	X
ejpam-4689	648	2	26	26	NUM
ejpam-4689	648	3	]	]	PUNCT
ejpam-4689	648	4	mohammed	mohammed	PROPN
ejpam-4689	648	5	,	,	PUNCT
ejpam-4689	648	6	p.o	p.o	PROPN
ejpam-4689	648	7	.	.	PROPN
ejpam-4689	648	8	;	;	PUNCT
ejpam-4689	648	9	aydi	aydi	VERB
ejpam-4689	648	10	,	,	PUNCT
ejpam-4689	648	11	h.	h.	PROPN
ejpam-4689	648	12	;	;	PUNCT
ejpam-4689	648	13	kashuri	kashuri	PROPN
ejpam-4689	648	14	,	,	PUNCT
ejpam-4689	648	15	a.	a.	NOUN
ejpam-4689	648	16	;	;	PUNCT
ejpam-4689	648	17	hamed	hamed	PROPN
ejpam-4689	648	18	,	,	PUNCT
ejpam-4689	648	19	y.s	y.s	PROPN
ejpam-4689	648	20	.	.	PROPN
ejpam-4689	648	21	;	;	PUNCT
ejpam-4689	648	22	abualnaja	abualnaja	PROPN
ejpam-4689	648	23	,	,	PUNCT
ejpam-4689	648	24	k.m	k.m	PROPN
ejpam-4689	648	25	.	.	PROPN
ejpam-4689	648	26	midpoint	midpoint	NOUN
ejpam-4689	648	27	inequalities	inequality	NOUN
ejpam-4689	648	28	in	in	ADP
ejpam-4689	648	29	fractional	fractional	ADJ
ejpam-4689	648	30	calculus	calculus	NOUN
ejpam-4689	648	31	defined	define	VERB
ejpam-4689	648	32	using	use	VERB
ejpam-4689	648	33	positive	positive	ADJ
ejpam-4689	648	34	weighted	weight	VERB
ejpam-4689	648	35	symmetry	symmetry	NOUN
ejpam-4689	648	36	function	function	NOUN
ejpam-4689	648	37	kernels	kernel	NOUN
ejpam-4689	648	38	.	.	PUNCT
ejpam-4689	649	1	symmetry	symmetry	NOUN
ejpam-4689	649	2	2021	2021	NUM
ejpam-4689	649	3	,	,	PUNCT
ejpam-4689	649	4	13	13	NUM
ejpam-4689	649	5	,	,	PUNCT
ejpam-4689	649	6	550	550	NUM
ejpam-4689	649	7	.	.	PUNCT
ejpam-4689	650	1	[	[	X
ejpam-4689	650	2	27	27	NUM
ejpam-4689	650	3	]	]	PUNCT
ejpam-4689	650	4	mubeen	mubeen	NOUN
ejpam-4689	650	5	s.	s.	PROPN
ejpam-4689	650	6	,	,	PUNCT
ejpam-4689	650	7	habibullah	habibullah	PROPN
ejpam-4689	650	8	g.	g.	PROPN
ejpam-4689	650	9	,	,	PUNCT
ejpam-4689	650	10	k	k	PROPN
ejpam-4689	650	11	–	–	PUNCT
ejpam-4689	650	12	fractional	fractional	ADJ
ejpam-4689	650	13	integrals	integral	NOUN
ejpam-4689	650	14	and	and	CCONJ
ejpam-4689	650	15	application	application	NOUN
ejpam-4689	650	16	int	int	NOUN
ejpam-4689	650	17	.	.	PUNCT
ejpam-4689	651	1	j.	j.	PROPN
ejpam-4689	651	2	contemp	contemp	PROPN
ejpam-4689	651	3	.	.	PUNCT
ejpam-4689	652	1	math	math	NOUN
ejpam-4689	652	2	.	.	PUNCT
ejpam-4689	653	1	sciences	science	NOUN
ejpam-4689	653	2	,	,	PUNCT
ejpam-4689	653	3	vol	vol	NOUN
ejpam-4689	653	4	.	.	PROPN
ejpam-4689	653	5	7	7	NUM
ejpam-4689	653	6	,	,	PUNCT
ejpam-4689	653	7	2012	2012	NUM
ejpam-4689	653	8	,	,	PUNCT
ejpam-4689	653	9	no	no	INTJ
ejpam-4689	653	10	.	.	NOUN
ejpam-4689	653	11	2	2	NUM
ejpam-4689	653	12	,	,	PUNCT
ejpam-4689	653	13	89–94	89–94	NUM
ejpam-4689	653	14	[	[	X
ejpam-4689	653	15	28	28	NUM
ejpam-4689	653	16	]	]	X
ejpam-4689	653	17	oldham	oldham	PROPN
ejpam-4689	653	18	,	,	PUNCT
ejpam-4689	653	19	k.b	k.b	PROPN
ejpam-4689	653	20	.	.	PROPN
ejpam-4689	653	21	;	;	PUNCT
ejpam-4689	653	22	spanier	spanier	NOUN
ejpam-4689	653	23	,	,	PUNCT
ejpam-4689	653	24	j.	j.	PROPN
ejpam-4689	653	25	the	the	DET
ejpam-4689	653	26	fractional	fractional	ADJ
ejpam-4689	653	27	calculus	calculus	NOUN
ejpam-4689	653	28	theory	theory	NOUN
ejpam-4689	653	29	and	and	CCONJ
ejpam-4689	653	30	applications	application	NOUN
ejpam-4689	653	31	of	of	ADP
ejpam-4689	653	32	differentation	differentation	NOUN
ejpam-4689	653	33	and	and	CCONJ
ejpam-4689	653	34	integration	integration	NOUN
ejpam-4689	653	35	to	to	ADP
ejpam-4689	653	36	arbitrary	arbitrary	ADJ
ejpam-4689	653	37	order	order	NOUN
ejpam-4689	653	38	;	;	PUNCT
ejpam-4689	653	39	academic	academic	ADJ
ejpam-4689	653	40	press	press	NOUN
ejpam-4689	653	41	,	,	PUNCT
ejpam-4689	653	42	inc	inc	PROPN
ejpam-4689	653	43	.	.	PROPN
ejpam-4689	653	44	:	:	PUNCT
ejpam-4689	653	45	london	london	PROPN
ejpam-4689	653	46	,	,	PUNCT
ejpam-4689	653	47	uk	uk	PROPN
ejpam-4689	653	48	,	,	PUNCT
ejpam-4689	653	49	1974	1974	NUM
ejpam-4689	653	50	.	.	PUNCT
ejpam-4689	654	1	[	[	X
ejpam-4689	654	2	29	29	NUM
ejpam-4689	654	3	]	]	X
ejpam-4689	654	4	özdemir	özdemir	PROPN
ejpam-4689	654	5	,	,	PUNCT
ejpam-4689	654	6	m.e	m.e	PROPN
ejpam-4689	654	7	.	.	PROPN
ejpam-4689	654	8	,	,	PUNCT
ejpam-4689	654	9	akdemri	akdemri	PROPN
ejpam-4689	654	10	,	,	PUNCT
ejpam-4689	654	11	a.o	a.o	PROPN
ejpam-4689	654	12	.	.	PROPN
ejpam-4689	654	13	,	,	PUNCT
ejpam-4689	654	14	set	set	PROPN
ejpam-4689	654	15	,	,	PUNCT
ejpam-4689	654	16	e.	e.	PROPN
ejpam-4689	654	17	:	:	PUNCT
ejpam-4689	654	18	on	on	ADP
ejpam-4689	654	19	(	(	PUNCT
ejpam-4689	654	20	h	h	NOUN
ejpam-4689	654	21	–	–	PUNCT
ejpam-4689	654	22	m)–convexity	m)–convexity	NOUN
ejpam-4689	654	23	and	and	CCONJ
ejpam-4689	654	24	hadamard	hadamard	ADJ
ejpam-4689	654	25	–	–	PUNCT
ejpam-4689	654	26	type	type	NOUN
ejpam-4689	654	27	inequalities	inequality	NOUN
ejpam-4689	654	28	.	.	PUNCT
ejpam-4689	655	1	transylv	transylv	PROPN
ejpam-4689	655	2	.	.	PUNCT
ejpam-4689	656	1	j.	j.	PROPN
ejpam-4689	656	2	math	math	PROPN
ejpam-4689	656	3	.	.	PUNCT
ejpam-4689	657	1	mech	mech	PROPN
ejpam-4689	657	2	.	.	PUNCT
ejpam-4689	658	1	8(1	8(1	NOUN
ejpam-4689	658	2	)	)	PUNCT
ejpam-4689	658	3	,	,	PUNCT
ejpam-4689	658	4	51–58	51–58	NUM
ejpam-4689	658	5	(	(	PUNCT
ejpam-4689	658	6	2016	2016	NUM
ejpam-4689	658	7	)	)	PUNCT
ejpam-4689	659	1	[	[	X
ejpam-4689	659	2	30	30	NUM
ejpam-4689	659	3	]	]	X
ejpam-4689	659	4	park	park	NOUN
ejpam-4689	659	5	,	,	PUNCT
ejpam-4689	659	6	j.	j.	PROPN
ejpam-4689	659	7	(	(	PUNCT
ejpam-4689	659	8	2011	2011	NUM
ejpam-4689	659	9	)	)	PUNCT
ejpam-4689	659	10	.	.	PUNCT
ejpam-4689	660	1	generalization	generalization	NOUN
ejpam-4689	660	2	of	of	ADP
ejpam-4689	660	3	ostrowski	ostrowski	ADJ
ejpam-4689	660	4	–	–	PUNCT
ejpam-4689	660	5	type	type	NOUN
ejpam-4689	660	6	inequalities	inequality	NOUN
ejpam-4689	660	7	for	for	ADP
ejpam-4689	660	8	differentiable	differentiable	ADJ
ejpam-4689	660	9	real	real	ADJ
ejpam-4689	660	10	(	(	PUNCT
ejpam-4689	660	11	s	s	NOUN
ejpam-4689	660	12	,	,	PUNCT
ejpam-4689	660	13	m)–convex	m)–convex	NUM
ejpam-4689	660	14	mappings	mapping	NOUN
ejpam-4689	660	15	.	.	PUNCT
ejpam-4689	661	1	far	far	PROPN
ejpam-4689	661	2	east	east	PROPN
ejpam-4689	661	3	j.	j.	PROPN
ejpam-4689	661	4	of	of	ADP
ejpam-4689	661	5	math	math	PROPN
ejpam-4689	661	6	.	.	PUNCT
ejpam-4689	662	1	sci	sci	PROPN
ejpam-4689	662	2	.	.	PROPN
ejpam-4689	662	3	,	,	PUNCT
ejpam-4689	662	4	49(2	49(2	NUM
ejpam-4689	662	5	)	)	PUNCT
ejpam-4689	662	6	,	,	PUNCT
ejpam-4689	663	1	157–171	157–171	NUM
ejpam-4689	663	2	[	[	X
ejpam-4689	663	3	31	31	NUM
ejpam-4689	663	4	]	]	PUNCT
ejpam-4689	663	5	pečarić	pečarić	PROPN
ejpam-4689	663	6	j.	j.	PROPN
ejpam-4689	663	7	,	,	PUNCT
ejpam-4689	663	8	proschan	proschan	PROPN
ejpam-4689	663	9	f.	f.	PROPN
ejpam-4689	663	10	,	,	PUNCT
ejpam-4689	663	11	tong	tong	PROPN
ejpam-4689	663	12	y.	y.	PROPN
ejpam-4689	663	13	,	,	PUNCT
ejpam-4689	663	14	convex	convex	NOUN
ejpam-4689	663	15	functions	function	NOUN
ejpam-4689	663	16	,	,	PUNCT
ejpam-4689	663	17	partial	partial	ADJ
ejpam-4689	663	18	orderings	ordering	NOUN
ejpam-4689	663	19	,	,	PUNCT
ejpam-4689	663	20	and	and	CCONJ
ejpam-4689	663	21	statistical	statistical	ADJ
ejpam-4689	663	22	applications	application	NOUN
ejpam-4689	663	23	,	,	PUNCT
ejpam-4689	663	24	academic	academic	PROPN
ejpam-4689	663	25	press	press	PROPN
ejpam-4689	663	26	inc	inc	PROPN
ejpam-4689	663	27	.	.	PROPN
ejpam-4689	663	28	,	,	PUNCT
ejpam-4689	663	29	united	united	PROPN
ejpam-4689	663	30	states	states	PROPN
ejpam-4689	663	31	of	of	ADP
ejpam-4689	663	32	america	america	PROPN
ejpam-4689	663	33	,	,	PUNCT
ejpam-4689	663	34	1992	1992	NUM
ejpam-4689	663	35	.	.	PUNCT
ejpam-4689	664	1	[	[	X
ejpam-4689	664	2	32	32	NUM
ejpam-4689	664	3	]	]	PUNCT
ejpam-4689	664	4	rashid	rashid	PROPN
ejpam-4689	664	5	,	,	PUNCT
ejpam-4689	664	6	s.	s.	PROPN
ejpam-4689	664	7	;	;	PUNCT
ejpam-4689	664	8	hammouch	hammouch	PROPN
ejpam-4689	664	9	,	,	PUNCT
ejpam-4689	664	10	z.	z.	PROPN
ejpam-4689	664	11	;	;	PUNCT
ejpam-4689	664	12	kalsoom	kalsoom	PROPN
ejpam-4689	664	13	,	,	PUNCT
ejpam-4689	664	14	h.	h.	PROPN
ejpam-4689	664	15	;	;	PUNCT
ejpam-4689	664	16	ashraf	ashraf	PROPN
ejpam-4689	664	17	,	,	PUNCT
ejpam-4689	664	18	r.m	r.m	PROPN
ejpam-4689	664	19	.	.	PROPN
ejpam-4689	664	20	;	;	PUNCT
ejpam-4689	664	21	chu	chu	PROPN
ejpam-4689	664	22	,	,	PUNCT
ejpam-4689	664	23	y.	y.	PROPN
ejpam-4689	664	24	,	,	PUNCT
ejpam-4689	664	25	new	new	ADJ
ejpam-4689	664	26	investigation	investigation	NOUN
ejpam-4689	664	27	on	on	ADP
ejpam-4689	664	28	the	the	DET
ejpam-4689	664	29	generalized	generalized	ADJ
ejpam-4689	664	30	kfractional	kfractional	ADJ
ejpam-4689	664	31	integral	integral	ADJ
ejpam-4689	664	32	operators	operator	NOUN
ejpam-4689	664	33	.	.	PUNCT
ejpam-4689	665	1	front	front	ADJ
ejpam-4689	665	2	.	.	PUNCT
ejpam-4689	666	1	phys	phy	NOUN
ejpam-4689	666	2	.	.	PUNCT
ejpam-4689	667	1	2020	2020	NUM
ejpam-4689	667	2	,	,	PUNCT
ejpam-4689	667	3	8	8	NUM
ejpam-4689	667	4	,	,	PUNCT
ejpam-4689	667	5	25	25	NUM
ejpam-4689	667	6	.	.	PUNCT
ejpam-4689	668	1	[	[	X
ejpam-4689	668	2	33	33	NUM
ejpam-4689	668	3	]	]	PUNCT
ejpam-4689	668	4	rodić	rodić	NOUN
ejpam-4689	668	5	,	,	PUNCT
ejpam-4689	668	6	m.	m.	NOUN
ejpam-4689	668	7	some	some	DET
ejpam-4689	668	8	generalizations	generalization	NOUN
ejpam-4689	668	9	of	of	ADP
ejpam-4689	668	10	the	the	DET
ejpam-4689	668	11	jensen	jensen	PROPN
ejpam-4689	668	12	-	-	PUNCT
ejpam-4689	668	13	type	type	NOUN
ejpam-4689	668	14	inequalities	inequality	NOUN
ejpam-4689	668	15	with	with	ADP
ejpam-4689	668	16	applications	application	NOUN
ejpam-4689	668	17	.	.	PUNCT
ejpam-4689	669	1	axioms	axiom	VERB
ejpam-4689	669	2	2022	2022	NUM
ejpam-4689	669	3	,	,	PUNCT
ejpam-4689	669	4	11	11	NUM
ejpam-4689	669	5	,	,	PUNCT
ejpam-4689	669	6	227	227	NUM
ejpam-4689	669	7	.	.	PUNCT
ejpam-4689	670	1	https://doi.org/10.3390/axioms11050227	https://doi.org/10.3390/axioms11050227	PROPN
ejpam-4689	671	1	[	[	X
ejpam-4689	671	2	34	34	NUM
ejpam-4689	671	3	]	]	X
ejpam-4689	671	4	rodić	rodić	NOUN
ejpam-4689	671	5	,	,	PUNCT
ejpam-4689	671	6	m.	m.	NOUN
ejpam-4689	671	7	on	on	ADP
ejpam-4689	671	8	the	the	DET
ejpam-4689	671	9	converse	converse	PROPN
ejpam-4689	671	10	jensen	jensen	PROPN
ejpam-4689	671	11	-	-	PUNCT
ejpam-4689	671	12	type	type	NOUN
ejpam-4689	671	13	inequality	inequality	NOUN
ejpam-4689	671	14	for	for	ADP
ejpam-4689	671	15	generalized	generalized	ADJ
ejpam-4689	671	16	fdivergences	fdivergence	NOUN
ejpam-4689	671	17	and	and	CCONJ
ejpam-4689	671	18	zipf	zipf	NOUN
ejpam-4689	671	19	–	–	PUNCT
ejpam-4689	671	20	mandelbrot	mandelbrot	PROPN
ejpam-4689	671	21	law	law	NOUN
ejpam-4689	671	22	.	.	PUNCT
ejpam-4689	672	1	mathematics	mathematic	NOUN
ejpam-4689	672	2	2022	2022	NUM
ejpam-4689	672	3	,	,	PUNCT
ejpam-4689	672	4	10	10	NUM
ejpam-4689	672	5	,	,	PUNCT
ejpam-4689	672	6	947	947	NUM
ejpam-4689	672	7	.	.	PUNCT
ejpam-4689	673	1	https://doi.org/10.3390/math10060947	https://doi.org/10.3390/math10060947	PROPN
ejpam-4689	673	2	references	reference	NOUN
ejpam-4689	673	3	522	522	NUM
ejpam-4689	673	4	[	[	X
ejpam-4689	673	5	35	35	NUM
ejpam-4689	673	6	]	]	SYM
ejpam-4689	673	7	sarikaya	sarikaya	NOUN
ejpam-4689	673	8	,	,	PUNCT
ejpam-4689	673	9	m.z	m.z	PROPN
ejpam-4689	673	10	.	.	PROPN
ejpam-4689	673	11	;	;	PUNCT
ejpam-4689	673	12	yildirim	yildirim	PROPN
ejpam-4689	673	13	,	,	PUNCT
ejpam-4689	673	14	h.	h.	PROPN
ejpam-4689	673	15	on	on	ADP
ejpam-4689	673	16	hermite	hermite	PROPN
ejpam-4689	673	17	–	–	PUNCT
ejpam-4689	673	18	hadamard	hadamard	ADJ
ejpam-4689	673	19	type	type	NOUN
ejpam-4689	673	20	inequalities	inequality	NOUN
ejpam-4689	673	21	for	for	ADP
ejpam-4689	673	22	riemannliouville	riemannliouville	NOUN
ejpam-4689	673	23	fractional	fractional	ADJ
ejpam-4689	673	24	integrals	integral	NOUN
ejpam-4689	673	25	.	.	PUNCT
ejpam-4689	674	1	miskolc	miskolc	ADJ
ejpam-4689	674	2	math	math	NOUN
ejpam-4689	674	3	.	.	PUNCT
ejpam-4689	675	1	notes	note	VERB
ejpam-4689	675	2	2016	2016	NUM
ejpam-4689	675	3	,	,	PUNCT
ejpam-4689	675	4	17	17	NUM
ejpam-4689	675	5	,	,	PUNCT
ejpam-4689	675	6	1049–1059	1049–1059	NUM
ejpam-4689	675	7	.	.	PUNCT
ejpam-4689	676	1	[	[	X
ejpam-4689	676	2	36	36	NUM
ejpam-4689	676	3	]	]	X
ejpam-4689	676	4	m.	m.	NOUN
ejpam-4689	676	5	sarikaya	sarikaya	PROPN
ejpam-4689	676	6	,	,	PUNCT
ejpam-4689	676	7	z.	z.	PROPN
ejpam-4689	676	8	dahmani	dahmani	PROPN
ejpam-4689	676	9	,	,	PUNCT
ejpam-4689	676	10	m.	m.	NOUN
ejpam-4689	676	11	kiris	kiris	PROPN
ejpam-4689	676	12	,	,	PUNCT
ejpam-4689	676	13	and	and	CCONJ
ejpam-4689	676	14	f.	f.	PROPN
ejpam-4689	676	15	ahmed	ahmed	PROPN
ejpam-4689	676	16	,	,	PUNCT
ejpam-4689	676	17	(	(	PUNCT
ejpam-4689	676	18	k	k	X
ejpam-4689	676	19	,	,	PUNCT
ejpam-4689	676	20	s	s	NOUN
ejpam-4689	676	21	)	)	PUNCT
ejpam-4689	676	22	–	–	PUNCT
ejpam-4689	676	23	riemann	riemann	PROPN
ejpam-4689	676	24	–	–	PUNCT
ejpam-4689	676	25	liouville	liouville	VERB
ejpam-4689	676	26	fractional	fractional	ADJ
ejpam-4689	676	27	integral	integral	ADJ
ejpam-4689	676	28	and	and	CCONJ
ejpam-4689	676	29	applications	application	NOUN
ejpam-4689	676	30	,	,	PUNCT
ejpam-4689	676	31	hacettepe	hacettepe	ADJ
ejpam-4689	676	32	journal	journal	NOUN
ejpam-4689	676	33	of	of	ADP
ejpam-4689	676	34	mathematics	mathematic	NOUN
ejpam-4689	676	35	and	and	CCONJ
ejpam-4689	676	36	statistics	statistic	NOUN
ejpam-4689	676	37	,	,	PUNCT
ejpam-4689	676	38	45(1	45(1	NOUN
ejpam-4689	676	39	)	)	PUNCT
ejpam-4689	676	40	,	,	PUNCT
ejpam-4689	676	41	77–89	77–89	NUM
ejpam-4689	676	42	(	(	PUNCT
ejpam-4689	676	43	2016	2016	NUM
ejpam-4689	676	44	)	)	PUNCT
ejpam-4689	676	45	.	.	PUNCT
ejpam-4689	677	1	[	[	X
ejpam-4689	677	2	37	37	NUM
ejpam-4689	677	3	]	]	PUNCT
ejpam-4689	677	4	simić	simić	NUM
ejpam-4689	677	5	,	,	PUNCT
ejpam-4689	677	6	s.	s.	PROPN
ejpam-4689	677	7	;	;	PUNCT
ejpam-4689	677	8	todorčević	todorčević	NUM
ejpam-4689	677	9	,	,	PUNCT
ejpam-4689	677	10	v.	v.	PROPN
ejpam-4689	677	11	jensen	jensen	PROPN
ejpam-4689	677	12	functional	functional	ADJ
ejpam-4689	677	13	,	,	PUNCT
ejpam-4689	677	14	quasi	quasi	ADJ
ejpam-4689	677	15	-	-	ADJ
ejpam-4689	677	16	arithmetic	arithmetic	ADJ
ejpam-4689	677	17	mean	mean	NOUN
ejpam-4689	677	18	and	and	CCONJ
ejpam-4689	677	19	sharp	sharp	ADJ
ejpam-4689	677	20	converses	converse	NOUN
ejpam-4689	677	21	of	of	ADP
ejpam-4689	677	22	hölder	hölder	NOUN
ejpam-4689	677	23	’s	’s	PART
ejpam-4689	677	24	inequalities	inequality	NOUN
ejpam-4689	677	25	.	.	PUNCT
ejpam-4689	678	1	mathematics	mathematic	NOUN
ejpam-4689	678	2	2021	2021	NUM
ejpam-4689	678	3	,	,	PUNCT
ejpam-4689	678	4	9	9	NUM
ejpam-4689	678	5	,	,	PUNCT
ejpam-4689	678	6	3104	3104	NUM
ejpam-4689	678	7	.	.	PUNCT
ejpam-4689	679	1	[	[	X
ejpam-4689	679	2	38	38	NUM
ejpam-4689	679	3	]	]	PUNCT
ejpam-4689	679	4	soubhagya	soubhagya	PROPN
ejpam-4689	679	5	kumar	kumar	PROPN
ejpam-4689	679	6	sahoo	sahoo	PROPN
ejpam-4689	679	7	,	,	PUNCT
ejpam-4689	679	8	y.s	y.s	PROPN
ejpam-4689	679	9	.	.	PROPN
ejpam-4689	679	10	hamed	hamed	PROPN
ejpam-4689	679	11	,	,	PUNCT
ejpam-4689	679	12	pshtiwan	pshtiwan	PROPN
ejpam-4689	679	13	othman	othman	PROPN
ejpam-4689	679	14	mohammed	mohammed	PROPN
ejpam-4689	679	15	,	,	PUNCT
ejpam-4689	679	16	bibhakar	bibhakar	PROPN
ejpam-4689	679	17	kodamasingh	kodamasingh	PROPN
ejpam-4689	679	18	,	,	PUNCT
ejpam-4689	679	19	kamsing	kamse	VERB
ejpam-4689	679	20	nonlaopon	nonlaopon	ADV
ejpam-4689	679	21	,	,	PUNCT
ejpam-4689	679	22	new	new	ADJ
ejpam-4689	679	23	midpoint	midpoint	NOUN
ejpam-4689	679	24	type	type	NOUN
ejpam-4689	679	25	hermite	hermite	ADJ
ejpam-4689	679	26	-	-	PUNCT
ejpam-4689	679	27	hadamard	hadamard	ADJ
ejpam-4689	679	28	-	-	PUNCT
ejpam-4689	679	29	mercer	mercer	NOUN
ejpam-4689	679	30	inequalities	inequality	NOUN
ejpam-4689	679	31	pertaining	pertain	VERB
ejpam-4689	679	32	to	to	ADP
ejpam-4689	679	33	caputo	caputo	PROPN
ejpam-4689	679	34	-	-	PUNCT
ejpam-4689	679	35	fabrizio	fabrizio	PROPN
ejpam-4689	679	36	fractional	fractional	PROPN
ejpam-4689	679	37	operators	operator	NOUN
ejpam-4689	679	38	,	,	PUNCT
ejpam-4689	679	39	alexandria	alexandria	PROPN
ejpam-4689	679	40	engineering	engineering	PROPN
ejpam-4689	679	41	journal	journal	PROPN
ejpam-4689	679	42	,	,	PUNCT
ejpam-4689	679	43	2022,issn	2022,issn	PROPN
ejpam-4689	679	44	1110	1110	NUM
ejpam-4689	679	45	-	-	SYM
ejpam-4689	679	46	0168,https://doi.org/10.1016	0168,https://doi.org/10.1016	PROPN
ejpam-4689	679	47	/	/	SYM
ejpam-4689	679	48	j.aej.2022.10.019	j.aej.2022.10.019	PROPN
ejpam-4689	679	49	.	.	PUNCT
ejpam-4689	680	1	[	[	X
ejpam-4689	680	2	39	39	NUM
ejpam-4689	680	3	]	]	PUNCT
ejpam-4689	680	4	stojiljković	stojiljković	NOUN
ejpam-4689	680	5	,	,	PUNCT
ejpam-4689	680	6	v.	v.	ADV
ejpam-4689	680	7	;	;	PUNCT
ejpam-4689	680	8	ramaswamy	ramaswamy	ADJ
ejpam-4689	680	9	,	,	PUNCT
ejpam-4689	680	10	r.	r.	PROPN
ejpam-4689	680	11	;	;	PUNCT
ejpam-4689	680	12	abdelnaby	abdelnaby	PROPN
ejpam-4689	680	13	,	,	PUNCT
ejpam-4689	680	14	o.a.a	o.a.a	PROPN
ejpam-4689	680	15	.	.	PUNCT
ejpam-4689	680	16	;	;	PUNCT
ejpam-4689	680	17	radenović	radenović	VERB
ejpam-4689	680	18	,	,	PUNCT
ejpam-4689	680	19	s.	s.	PROPN
ejpam-4689	680	20	some	some	DET
ejpam-4689	680	21	novel	novel	ADJ
ejpam-4689	680	22	inequalities	inequality	NOUN
ejpam-4689	680	23	for	for	ADP
ejpam-4689	680	24	lr-(k	lr-(k	ADJ
ejpam-4689	680	25	,	,	PUNCT
ejpam-4689	680	26	h	h	NOUN
ejpam-4689	680	27	-	-	PUNCT
ejpam-4689	680	28	m)-p	m)-p	ADV
ejpam-4689	680	29	convex	convex	NOUN
ejpam-4689	680	30	interval	interval	NOUN
ejpam-4689	680	31	valued	value	VERB
ejpam-4689	680	32	functions	function	NOUN
ejpam-4689	680	33	by	by	ADP
ejpam-4689	680	34	means	mean	NOUN
ejpam-4689	680	35	of	of	ADP
ejpam-4689	680	36	pseudo	pseudo	NOUN
ejpam-4689	680	37	order	order	NOUN
ejpam-4689	680	38	relation	relation	NOUN
ejpam-4689	680	39	.	.	PUNCT
ejpam-4689	681	1	fractal	fractal	ADJ
ejpam-4689	681	2	fract	fract	PROPN
ejpam-4689	681	3	.	.	PUNCT
ejpam-4689	682	1	2022	2022	NUM
ejpam-4689	682	2	,	,	PUNCT
ejpam-4689	682	3	6	6	NUM
ejpam-4689	682	4	,	,	PUNCT
ejpam-4689	682	5	726	726	NUM
ejpam-4689	682	6	.	.	PUNCT
ejpam-4689	683	1	https://doi.org/10.3390/fractalfract6120726	https://doi.org/10.3390/fractalfract6120726	PROPN
ejpam-4689	684	1	[	[	X
ejpam-4689	684	2	40	40	NUM
ejpam-4689	684	3	]	]	PUNCT
ejpam-4689	684	4	stojiljković	stojiljković	NOUN
ejpam-4689	684	5	,	,	PUNCT
ejpam-4689	684	6	v.	v.	ADV
ejpam-4689	684	7	;	;	PUNCT
ejpam-4689	684	8	ramaswamy	ramaswamy	ADJ
ejpam-4689	684	9	,	,	PUNCT
ejpam-4689	684	10	r.	r.	PROPN
ejpam-4689	684	11	;	;	PUNCT
ejpam-4689	684	12	alshammari	alshammari	PROPN
ejpam-4689	684	13	,	,	PUNCT
ejpam-4689	684	14	f.	f.	PROPN
ejpam-4689	684	15	;	;	PUNCT
ejpam-4689	684	16	ashour	ashour	PROPN
ejpam-4689	684	17	,	,	PUNCT
ejpam-4689	684	18	o.a	o.a	PROPN
ejpam-4689	684	19	.	.	PROPN
ejpam-4689	684	20	;	;	PUNCT
ejpam-4689	684	21	alghazwani	alghazwani	PROPN
ejpam-4689	684	22	,	,	PUNCT
ejpam-4689	684	23	m.l.h	m.l.h	PROPN
ejpam-4689	684	24	.	.	PROPN
ejpam-4689	684	25	;	;	PUNCT
ejpam-4689	684	26	radenović	radenović	VERB
ejpam-4689	684	27	,	,	PUNCT
ejpam-4689	684	28	s.	s.	PROPN
ejpam-4689	684	29	hermite	hermite	PROPN
ejpam-4689	684	30	–	–	PUNCT
ejpam-4689	684	31	hadamard	hadamard	ADJ
ejpam-4689	684	32	type	type	NOUN
ejpam-4689	684	33	inequalities	inequality	NOUN
ejpam-4689	684	34	involving	involve	VERB
ejpam-4689	684	35	(	(	PUNCT
ejpam-4689	684	36	k	k	X
ejpam-4689	684	37	-	-	ADJ
ejpam-4689	684	38	p	p	ADJ
ejpam-4689	684	39	)	)	PUNCT
ejpam-4689	684	40	fractional	fractional	ADJ
ejpam-4689	684	41	operator	operator	NOUN
ejpam-4689	684	42	for	for	ADP
ejpam-4689	684	43	various	various	ADJ
ejpam-4689	684	44	types	type	NOUN
ejpam-4689	684	45	of	of	ADP
ejpam-4689	684	46	convex	convex	NOUN
ejpam-4689	684	47	functions	function	NOUN
ejpam-4689	684	48	.	.	PUNCT
ejpam-4689	685	1	fractal	fractal	ADJ
ejpam-4689	685	2	fract	fract	NOUN
ejpam-4689	685	3	.	.	PUNCT
ejpam-4689	686	1	2022	2022	NUM
ejpam-4689	686	2	,	,	PUNCT
ejpam-4689	686	3	6	6	NUM
ejpam-4689	686	4	,	,	PUNCT
ejpam-4689	686	5	376	376	NUM
ejpam-4689	686	6	.	.	PUNCT
ejpam-4689	687	1	https://doi.org/10.3390/fractalfract6070376	https://doi.org/10.3390/fractalfract6070376	NOUN
ejpam-4689	688	1	[	[	X
ejpam-4689	688	2	41	41	NUM
ejpam-4689	688	3	]	]	PUNCT
ejpam-4689	688	4	stojiljković	stojiljković	NOUN
ejpam-4689	688	5	,	,	PUNCT
ejpam-4689	688	6	v.	v.	ADV
ejpam-4689	688	7	;	;	PUNCT
ejpam-4689	688	8	ramaswamy	ramaswamy	ADJ
ejpam-4689	688	9	,	,	PUNCT
ejpam-4689	688	10	r.	r.	PROPN
ejpam-4689	688	11	;	;	PUNCT
ejpam-4689	688	12	ashour	ashour	PROPN
ejpam-4689	688	13	abdelnaby	abdelnaby	NOUN
ejpam-4689	688	14	,	,	PUNCT
ejpam-4689	688	15	o.a	o.a	PROPN
ejpam-4689	688	16	.	.	PROPN
ejpam-4689	688	17	;	;	PUNCT
ejpam-4689	688	18	radenović	radenović	VERB
ejpam-4689	688	19	,	,	PUNCT
ejpam-4689	688	20	s.	s.	PROPN
ejpam-4689	688	21	riemannliouville	riemannliouville	VERB
ejpam-4689	688	22	fractional	fractional	ADJ
ejpam-4689	688	23	inclusions	inclusion	NOUN
ejpam-4689	688	24	for	for	ADP
ejpam-4689	688	25	convex	convex	NOUN
ejpam-4689	688	26	functions	function	NOUN
ejpam-4689	688	27	using	use	VERB
ejpam-4689	688	28	interval	interval	NOUN
ejpam-4689	688	29	valued	value	VERB
ejpam-4689	688	30	setting	setting	NOUN
ejpam-4689	688	31	.	.	PUNCT
ejpam-4689	689	1	mathematics	mathematic	NOUN
ejpam-4689	689	2	2022	2022	NUM
ejpam-4689	689	3	,	,	PUNCT
ejpam-4689	689	4	10	10	NUM
ejpam-4689	689	5	,	,	PUNCT
ejpam-4689	689	6	3491	3491	NUM
ejpam-4689	689	7	.	.	PUNCT
ejpam-4689	690	1	https://doi.org/10.3390/math10193491	https://doi.org/10.3390/math10193491	NOUN
ejpam-4689	690	2	[	[	X
ejpam-4689	690	3	42	42	NUM
ejpam-4689	690	4	]	]	PUNCT
ejpam-4689	690	5	stojiljkovic	stojiljkovic	ADJ
ejpam-4689	690	6	,	,	PUNCT
ejpam-4689	690	7	v.	v.	PROPN
ejpam-4689	690	8	(	(	PUNCT
ejpam-4689	690	9	2022	2022	NUM
ejpam-4689	690	10	)	)	PUNCT
ejpam-4689	690	11	.	.	PUNCT
ejpam-4689	691	1	a	a	DET
ejpam-4689	691	2	new	new	ADJ
ejpam-4689	691	3	conformable	conformable	ADJ
ejpam-4689	691	4	fractional	fractional	ADJ
ejpam-4689	691	5	derivative	derivative	NOUN
ejpam-4689	691	6	and	and	CCONJ
ejpam-4689	691	7	applications	application	NOUN
ejpam-4689	691	8	.	.	PUNCT
ejpam-4689	692	1	selecciones	seleccione	NOUN
ejpam-4689	692	2	matemáticas	matemáticas	PROPN
ejpam-4689	692	3	,	,	PUNCT
ejpam-4689	692	4	9(02	9(02	NUM
ejpam-4689	692	5	)	)	PUNCT
ejpam-4689	692	6	,	,	PUNCT
ejpam-4689	692	7	370	370	NUM
ejpam-4689	692	8	380	380	NUM
ejpam-4689	692	9	.	.	PUNCT
ejpam-4689	693	1	https://doi.org/10.17268/sel.mat.2022.02.12	https://doi.org/10.17268/sel.mat.2022.02.12	NOUN
ejpam-4689	694	1	[	[	X
ejpam-4689	694	2	43	43	NUM
ejpam-4689	694	3	]	]	PUNCT
ejpam-4689	694	4	stojiljković	stojiljković	NOUN
ejpam-4689	695	1	v.	v.	PROPN
ejpam-4689	695	2	,	,	PUNCT
ejpam-4689	695	3	s.	s.	PROPN
ejpam-4689	695	4	radojević	radojević	PROPN
ejpam-4689	695	5	,	,	PUNCT
ejpam-4689	695	6	e.	e.	PROPN
ejpam-4689	695	7	çetin	çetin	PROPN
ejpam-4689	695	8	,	,	PUNCT
ejpam-4689	695	9	v.	v.	ADP
ejpam-4689	695	10	š.	š.	PROPN
ejpam-4689	695	11	čavić	čavić	PROPN
ejpam-4689	695	12	,	,	PUNCT
ejpam-4689	695	13	s.	s.	PROPN
ejpam-4689	695	14	radenović	radenović	PROPN
ejpam-4689	695	15	,	,	PUNCT
ejpam-4689	695	16	sharp	sharp	ADJ
ejpam-4689	695	17	bounds	bound	NOUN
ejpam-4689	695	18	for	for	ADP
ejpam-4689	695	19	trigonometric	trigonometric	ADJ
ejpam-4689	695	20	and	and	CCONJ
ejpam-4689	695	21	hyperbolic	hyperbolic	ADJ
ejpam-4689	695	22	functions	function	NOUN
ejpam-4689	695	23	with	with	ADP
ejpam-4689	695	24	application	application	NOUN
ejpam-4689	695	25	to	to	ADP
ejpam-4689	695	26	fractional	fractional	ADJ
ejpam-4689	695	27	calculus	calculus	NOUN
ejpam-4689	695	28	,	,	PUNCT
ejpam-4689	695	29	symmetry	symmetry	NOUN
ejpam-4689	695	30	,	,	PUNCT
ejpam-4689	695	31	2022,14	2022,14	ADV
ejpam-4689	695	32	,	,	PUNCT
ejpam-4689	695	33	1260	1260	NUM
ejpam-4689	695	34	,	,	PUNCT
ejpam-4689	695	35	https://	https://	PROPN
ejpam-4689	695	36	doi.org/10.3390/sym14061260	doi.org/10.3390/sym14061260	PUNCT
ejpam-4689	696	1	[	[	X
ejpam-4689	696	2	44	44	NUM
ejpam-4689	696	3	]	]	SYM
ejpam-4689	696	4	yang	yang	PROPN
ejpam-4689	696	5	,	,	PUNCT
ejpam-4689	696	6	x.j	x.j	PROPN
ejpam-4689	696	7	.	.	PROPN
ejpam-4689	696	8	general	general	ADJ
ejpam-4689	696	9	fractional	fractional	ADJ
ejpam-4689	696	10	derivatives	derivative	NOUN
ejpam-4689	696	11	theory	theory	NOUN
ejpam-4689	696	12	,	,	PUNCT
ejpam-4689	696	13	methods	method	NOUN
ejpam-4689	696	14	and	and	CCONJ
ejpam-4689	696	15	applications	application	NOUN
ejpam-4689	696	16	;	;	PUNCT
ejpam-4689	696	17	taylor	taylor	PROPN
ejpam-4689	696	18	and	and	CCONJ
ejpam-4689	696	19	francis	francis	PROPN
ejpam-4689	696	20	group	group	PROPN
ejpam-4689	696	21	:	:	PUNCT
ejpam-4689	696	22	london	london	PROPN
ejpam-4689	696	23	,	,	PUNCT
ejpam-4689	696	24	uk	uk	PROPN
ejpam-4689	696	25	,	,	PUNCT
ejpam-4689	696	26	2019	2019	NUM