id	sid	tid	token	lemma	pos
ejpam-3196	1	1	european	european	PROPN
ejpam-3196	1	2	journal	journal	PROPN
ejpam-3196	1	3	of	of	ADP
ejpam-3196	1	4	pure	pure	ADJ
ejpam-3196	1	5	and	and	CCONJ
ejpam-3196	1	6	applied	apply	VERB
ejpam-3196	1	7	mathematics	mathematic	NOUN
ejpam-3196	1	8	vol	vol	NOUN
ejpam-3196	1	9	.	.	PUNCT
ejpam-3196	2	1	11	11	NUM
ejpam-3196	2	2	,	,	PUNCT
ejpam-3196	2	3	no	no	INTJ
ejpam-3196	2	4	.	.	NOUN
ejpam-3196	2	5	1	1	NUM
ejpam-3196	2	6	,	,	PUNCT
ejpam-3196	2	7	2018	2018	NUM
ejpam-3196	2	8	,	,	PUNCT
ejpam-3196	2	9	51	51	NUM
ejpam-3196	2	10	-	-	SYM
ejpam-3196	2	11	68	68	NUM
ejpam-3196	2	12	issn	issn	PROPN
ejpam-3196	2	13	1307	1307	NUM
ejpam-3196	2	14	-	-	SYM
ejpam-3196	2	15	5543	5543	NUM
ejpam-3196	2	16	–	–	PUNCT
ejpam-3196	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3196	2	18	published	publish	VERB
ejpam-3196	2	19	by	by	ADP
ejpam-3196	2	20	new	new	PROPN
ejpam-3196	2	21	york	york	PROPN
ejpam-3196	2	22	business	business	PROPN
ejpam-3196	2	23	global	global	VERB
ejpam-3196	2	24	some	some	DET
ejpam-3196	2	25	new	new	ADJ
ejpam-3196	2	26	hermite	hermite	PROPN
ejpam-3196	2	27	-	-	PUNCT
ejpam-3196	2	28	hadamard	hadamard	ADJ
ejpam-3196	2	29	-	-	PUNCT
ejpam-3196	2	30	fejér	fejér	NOUN
ejpam-3196	2	31	type	type	NOUN
ejpam-3196	2	32	inequalities	inequality	NOUN
ejpam-3196	2	33	via	via	ADP
ejpam-3196	2	34	k	k	ADJ
ejpam-3196	2	35	-	-	PUNCT
ejpam-3196	2	36	fractional	fractional	ADJ
ejpam-3196	2	37	integrals	integral	NOUN
ejpam-3196	2	38	concerning	concern	VERB
ejpam-3196	2	39	differentiable	differentiable	ADJ
ejpam-3196	2	40	generalized	generalize	VERB
ejpam-3196	2	41	relative	relative	ADJ
ejpam-3196	2	42	semi-(r;m	semi-(r;m	PROPN
ejpam-3196	2	43	,	,	PUNCT
ejpam-3196	2	44	h1	h1	NOUN
ejpam-3196	2	45	,	,	PUNCT
ejpam-3196	2	46	h2)-preinvex	h2)-preinvex	PROPN
ejpam-3196	2	47	mappings	mapping	NOUN
ejpam-3196	2	48	miftar	miftar	PROPN
ejpam-3196	2	49	ramosaçaj1	ramosaçaj1	PROPN
ejpam-3196	2	50	,	,	PUNCT
ejpam-3196	2	51	artion	artion	NOUN
ejpam-3196	2	52	kashuri1,∗	kashuri1,∗	NOUN
ejpam-3196	2	53	,	,	PUNCT
ejpam-3196	2	54	rozana	rozana	ADJ
ejpam-3196	2	55	liko1	liko1	PROPN
ejpam-3196	2	56	1	1	NUM
ejpam-3196	2	57	department	department	NOUN
ejpam-3196	2	58	of	of	ADP
ejpam-3196	2	59	mathematics	mathematic	NOUN
ejpam-3196	2	60	,	,	PUNCT
ejpam-3196	2	61	faculty	faculty	NOUN
ejpam-3196	2	62	of	of	ADP
ejpam-3196	2	63	technical	technical	ADJ
ejpam-3196	2	64	science	science	NOUN
ejpam-3196	2	65	,	,	PUNCT
ejpam-3196	2	66	university	university	NOUN
ejpam-3196	2	67	”	"	PUNCT
ejpam-3196	2	68	ismail	ismail	PROPN
ejpam-3196	2	69	qemali	qemali	PROPN
ejpam-3196	2	70	”	"	PUNCT
ejpam-3196	2	71	,	,	PUNCT
ejpam-3196	2	72	vlora	vlora	PROPN
ejpam-3196	2	73	,	,	PUNCT
ejpam-3196	2	74	albania	albania	PROPN
ejpam-3196	2	75	abstract	abstract	PROPN
ejpam-3196	2	76	.	.	PUNCT
ejpam-3196	3	1	in	in	ADP
ejpam-3196	3	2	this	this	DET
ejpam-3196	3	3	article	article	NOUN
ejpam-3196	3	4	,	,	PUNCT
ejpam-3196	3	5	we	we	PRON
ejpam-3196	3	6	first	first	ADV
ejpam-3196	3	7	presented	present	VERB
ejpam-3196	3	8	a	a	DET
ejpam-3196	3	9	new	new	ADJ
ejpam-3196	3	10	identity	identity	NOUN
ejpam-3196	3	11	concerning	concern	VERB
ejpam-3196	3	12	differentiable	differentiable	ADJ
ejpam-3196	3	13	mappings	mapping	NOUN
ejpam-3196	3	14	defined	define	VERB
ejpam-3196	3	15	on	on	ADP
ejpam-3196	3	16	m	m	NOUN
ejpam-3196	3	17	-	-	PUNCT
ejpam-3196	3	18	invex	invex	NOUN
ejpam-3196	3	19	set	set	VERB
ejpam-3196	3	20	via	via	ADP
ejpam-3196	3	21	k	k	ADJ
ejpam-3196	3	22	-	-	PUNCT
ejpam-3196	3	23	fractional	fractional	ADJ
ejpam-3196	3	24	integrals	integral	NOUN
ejpam-3196	3	25	.	.	PUNCT
ejpam-3196	4	1	by	by	ADP
ejpam-3196	4	2	using	use	VERB
ejpam-3196	4	3	the	the	DET
ejpam-3196	4	4	notion	notion	NOUN
ejpam-3196	4	5	of	of	ADP
ejpam-3196	4	6	generalized	generalized	ADJ
ejpam-3196	4	7	relative	relative	ADJ
ejpam-3196	4	8	semi(r;m	semi(r;m	NOUN
ejpam-3196	4	9	,	,	PUNCT
ejpam-3196	4	10	h1	h1	NOUN
ejpam-3196	4	11	,	,	PUNCT
ejpam-3196	4	12	h2)-preinvexity	h2)-preinvexity	PROPN
ejpam-3196	4	13	and	and	CCONJ
ejpam-3196	4	14	the	the	DET
ejpam-3196	4	15	obtained	obtain	VERB
ejpam-3196	4	16	identity	identity	NOUN
ejpam-3196	4	17	as	as	ADP
ejpam-3196	4	18	an	an	DET
ejpam-3196	4	19	auxiliary	auxiliary	ADJ
ejpam-3196	4	20	result	result	NOUN
ejpam-3196	4	21	,	,	PUNCT
ejpam-3196	4	22	some	some	DET
ejpam-3196	4	23	new	new	ADJ
ejpam-3196	4	24	estimates	estimate	NOUN
ejpam-3196	4	25	with	with	ADP
ejpam-3196	4	26	respect	respect	NOUN
ejpam-3196	4	27	to	to	ADP
ejpam-3196	4	28	hermite	hermite	ADJ
ejpam-3196	4	29	-	-	PUNCT
ejpam-3196	4	30	hadamard	hadamard	ADJ
ejpam-3196	4	31	-	-	PUNCT
ejpam-3196	4	32	fejér	fejér	NOUN
ejpam-3196	4	33	type	type	NOUN
ejpam-3196	4	34	inequalities	inequality	NOUN
ejpam-3196	4	35	via	via	ADP
ejpam-3196	4	36	k	k	ADJ
ejpam-3196	4	37	-	-	PUNCT
ejpam-3196	4	38	fractional	fractional	ADJ
ejpam-3196	4	39	integrals	integral	NOUN
ejpam-3196	4	40	are	be	AUX
ejpam-3196	4	41	established	establish	VERB
ejpam-3196	4	42	.	.	PUNCT
ejpam-3196	5	1	it	it	PRON
ejpam-3196	5	2	is	be	AUX
ejpam-3196	5	3	pointed	point	VERB
ejpam-3196	5	4	out	out	ADP
ejpam-3196	5	5	that	that	SCONJ
ejpam-3196	5	6	some	some	DET
ejpam-3196	5	7	new	new	ADJ
ejpam-3196	5	8	special	special	ADJ
ejpam-3196	5	9	cases	case	NOUN
ejpam-3196	5	10	can	can	AUX
ejpam-3196	5	11	be	be	AUX
ejpam-3196	5	12	deduced	deduce	VERB
ejpam-3196	5	13	from	from	ADP
ejpam-3196	5	14	main	main	ADJ
ejpam-3196	5	15	results	result	NOUN
ejpam-3196	5	16	of	of	ADP
ejpam-3196	5	17	the	the	DET
ejpam-3196	5	18	article	article	NOUN
ejpam-3196	5	19	.	.	PUNCT
ejpam-3196	6	1	2010	2010	NUM
ejpam-3196	6	2	mathematics	mathematic	NOUN
ejpam-3196	6	3	subject	subject	NOUN
ejpam-3196	6	4	classifications	classification	NOUN
ejpam-3196	6	5	:	:	PUNCT
ejpam-3196	6	6	primary	primary	ADJ
ejpam-3196	6	7	:	:	PUNCT
ejpam-3196	6	8	26a51	26a51	NUM
ejpam-3196	6	9	;	;	PUNCT
ejpam-3196	6	10	secondary	secondary	ADJ
ejpam-3196	6	11	:	:	PUNCT
ejpam-3196	6	12	26a33	26a33	NUM
ejpam-3196	6	13	,	,	PUNCT
ejpam-3196	6	14	26d07	26d07	NUM
ejpam-3196	6	15	,	,	PUNCT
ejpam-3196	6	16	26d10	26d10	NUM
ejpam-3196	6	17	,	,	PUNCT
ejpam-3196	6	18	26d15	26d15	NUM
ejpam-3196	6	19	.	.	PUNCT
ejpam-3196	7	1	key	key	ADJ
ejpam-3196	7	2	words	word	NOUN
ejpam-3196	7	3	and	and	CCONJ
ejpam-3196	7	4	phrases	phrase	NOUN
ejpam-3196	7	5	:	:	PUNCT
ejpam-3196	7	6	hermite	hermite	ADJ
ejpam-3196	7	7	-	-	PUNCT
ejpam-3196	7	8	hadamard	hadamard	ADJ
ejpam-3196	7	9	inequality	inequality	NOUN
ejpam-3196	7	10	,	,	PUNCT
ejpam-3196	7	11	hermite	hermite	PROPN
ejpam-3196	7	12	-	-	PUNCT
ejpam-3196	7	13	hadamard	hadamard	ADJ
ejpam-3196	7	14	-	-	PUNCT
ejpam-3196	7	15	fejér	fejér	NOUN
ejpam-3196	7	16	inequality	inequality	NOUN
ejpam-3196	7	17	,	,	PUNCT
ejpam-3196	7	18	hölder	hölder	PROPN
ejpam-3196	7	19	’s	’s	PART
ejpam-3196	7	20	inequality	inequality	NOUN
ejpam-3196	7	21	,	,	PUNCT
ejpam-3196	7	22	minkowski	minkowski	ADJ
ejpam-3196	7	23	inequality	inequality	NOUN
ejpam-3196	7	24	,	,	PUNCT
ejpam-3196	7	25	power	power	NOUN
ejpam-3196	7	26	mean	mean	NOUN
ejpam-3196	7	27	inequality	inequality	NOUN
ejpam-3196	7	28	,	,	PUNCT
ejpam-3196	7	29	k	k	ADJ
ejpam-3196	7	30	-	-	PUNCT
ejpam-3196	7	31	fractional	fractional	ADJ
ejpam-3196	7	32	integrals	integral	NOUN
ejpam-3196	7	33	,	,	PUNCT
ejpam-3196	7	34	m	m	NOUN
ejpam-3196	7	35	-	-	NOUN
ejpam-3196	7	36	invex	invex	ADJ
ejpam-3196	7	37	.	.	PUNCT
ejpam-3196	8	1	1	1	X
ejpam-3196	8	2	.	.	X
ejpam-3196	8	3	introduction	introduction	NOUN
ejpam-3196	8	4	the	the	DET
ejpam-3196	8	5	following	follow	VERB
ejpam-3196	8	6	notations	notation	NOUN
ejpam-3196	8	7	are	be	AUX
ejpam-3196	8	8	used	use	VERB
ejpam-3196	8	9	throughout	throughout	ADP
ejpam-3196	8	10	this	this	DET
ejpam-3196	8	11	paper	paper	NOUN
ejpam-3196	8	12	.	.	PUNCT
ejpam-3196	9	1	we	we	PRON
ejpam-3196	9	2	use	use	VERB
ejpam-3196	9	3	i	i	PRON
ejpam-3196	9	4	to	to	PART
ejpam-3196	9	5	denote	denote	VERB
ejpam-3196	9	6	an	an	DET
ejpam-3196	9	7	interval	interval	NOUN
ejpam-3196	9	8	on	on	ADP
ejpam-3196	9	9	the	the	DET
ejpam-3196	9	10	real	real	ADJ
ejpam-3196	9	11	line	line	NOUN
ejpam-3196	10	1	r	r	NOUN
ejpam-3196	10	2	=	=	PUNCT
ejpam-3196	10	3	(	(	PUNCT
ejpam-3196	10	4	−∞,+∞	−∞,+∞	ADV
ejpam-3196	10	5	)	)	PUNCT
ejpam-3196	10	6	and	and	CCONJ
ejpam-3196	10	7	i	i	PRON
ejpam-3196	10	8	◦	◦	VERB
ejpam-3196	10	9	to	to	PART
ejpam-3196	10	10	denote	denote	VERB
ejpam-3196	10	11	the	the	DET
ejpam-3196	10	12	interior	interior	NOUN
ejpam-3196	10	13	of	of	ADP
ejpam-3196	10	14	i.	i.	NOUN
ejpam-3196	10	15	for	for	ADP
ejpam-3196	10	16	any	any	DET
ejpam-3196	10	17	subset	subset	NOUN
ejpam-3196	10	18	k	k	PROPN
ejpam-3196	10	19	⊆	⊆	NUM
ejpam-3196	10	20	rn	rn	PROPN
ejpam-3196	10	21	,	,	PUNCT
ejpam-3196	10	22	k	k	NOUN
ejpam-3196	10	23	◦	◦	NOUN
ejpam-3196	10	24	is	be	AUX
ejpam-3196	10	25	used	use	VERB
ejpam-3196	10	26	to	to	PART
ejpam-3196	10	27	denote	denote	VERB
ejpam-3196	10	28	the	the	DET
ejpam-3196	10	29	interior	interior	NOUN
ejpam-3196	10	30	of	of	ADP
ejpam-3196	10	31	k.	k.	PROPN
ejpam-3196	10	32	rn	rn	PROPN
ejpam-3196	10	33	is	be	AUX
ejpam-3196	10	34	used	use	VERB
ejpam-3196	10	35	to	to	PART
ejpam-3196	10	36	denote	denote	VERB
ejpam-3196	10	37	a	a	DET
ejpam-3196	10	38	n	n	ADV
ejpam-3196	10	39	-	-	PUNCT
ejpam-3196	10	40	dimensional	dimensional	ADJ
ejpam-3196	10	41	vector	vector	NOUN
ejpam-3196	10	42	space	space	NOUN
ejpam-3196	10	43	.	.	PUNCT
ejpam-3196	11	1	the	the	DET
ejpam-3196	11	2	set	set	NOUN
ejpam-3196	11	3	of	of	ADP
ejpam-3196	11	4	integrable	integrable	ADJ
ejpam-3196	11	5	functions	function	NOUN
ejpam-3196	11	6	on	on	ADP
ejpam-3196	11	7	the	the	DET
ejpam-3196	11	8	interval	interval	NOUN
ejpam-3196	11	9	[	[	X
ejpam-3196	11	10	a	a	X
ejpam-3196	11	11	,	,	PUNCT
ejpam-3196	11	12	b	b	NOUN
ejpam-3196	11	13	]	]	PUNCT
ejpam-3196	11	14	is	be	AUX
ejpam-3196	11	15	denoted	denote	VERB
ejpam-3196	11	16	by	by	ADP
ejpam-3196	11	17	l1[a	l1[a	NOUN
ejpam-3196	11	18	,	,	PUNCT
ejpam-3196	11	19	b	b	NOUN
ejpam-3196	11	20	]	]	X
ejpam-3196	11	21	.	.	PUNCT
ejpam-3196	12	1	the	the	DET
ejpam-3196	12	2	following	follow	VERB
ejpam-3196	12	3	inequality	inequality	NOUN
ejpam-3196	12	4	,	,	PUNCT
ejpam-3196	12	5	named	name	VERB
ejpam-3196	12	6	hermite	hermite	ADJ
ejpam-3196	12	7	-	-	PUNCT
ejpam-3196	12	8	hadamard	hadamard	ADJ
ejpam-3196	12	9	inequality	inequality	NOUN
ejpam-3196	12	10	,	,	PUNCT
ejpam-3196	12	11	is	be	AUX
ejpam-3196	12	12	one	one	NUM
ejpam-3196	12	13	of	of	ADP
ejpam-3196	12	14	the	the	DET
ejpam-3196	12	15	most	most	ADV
ejpam-3196	12	16	famous	famous	ADJ
ejpam-3196	12	17	inequalities	inequality	NOUN
ejpam-3196	12	18	in	in	ADP
ejpam-3196	12	19	the	the	DET
ejpam-3196	12	20	literature	literature	NOUN
ejpam-3196	12	21	for	for	ADP
ejpam-3196	12	22	convex	convex	NOUN
ejpam-3196	12	23	functions	function	NOUN
ejpam-3196	12	24	.	.	PUNCT
ejpam-3196	13	1	theorem	theorem	NOUN
ejpam-3196	13	2	1	1	NUM
ejpam-3196	13	3	.	.	PUNCT
ejpam-3196	14	1	let	let	VERB
ejpam-3196	14	2	f	f	NOUN
ejpam-3196	14	3	:	:	PUNCT
ejpam-3196	14	4	i	i	PRON
ejpam-3196	15	1	⊆	⊆	NUM
ejpam-3196	15	2	r	r	NOUN
ejpam-3196	15	3	−→	−→	NOUN
ejpam-3196	15	4	r	r	NOUN
ejpam-3196	15	5	be	be	VERB
ejpam-3196	15	6	a	a	DET
ejpam-3196	15	7	convex	convex	ADJ
ejpam-3196	15	8	function	function	NOUN
ejpam-3196	15	9	on	on	ADP
ejpam-3196	15	10	i	i	PRON
ejpam-3196	15	11	and	and	CCONJ
ejpam-3196	15	12	a	a	DET
ejpam-3196	15	13	,	,	PUNCT
ejpam-3196	15	14	b	b	X
ejpam-3196	15	15	∈	∈	NOUN
ejpam-3196	15	16	i	i	PRON
ejpam-3196	15	17	with	with	ADP
ejpam-3196	15	18	a	a	DET
ejpam-3196	15	19	<	<	X
ejpam-3196	15	20	b.	b.	NOUN
ejpam-3196	15	21	then	then	ADV
ejpam-3196	15	22	the	the	DET
ejpam-3196	15	23	following	follow	VERB
ejpam-3196	15	24	inequality	inequality	NOUN
ejpam-3196	15	25	holds	hold	VERB
ejpam-3196	15	26	:	:	PUNCT
ejpam-3196	15	27	f	f	PROPN
ejpam-3196	15	28	(	(	PUNCT
ejpam-3196	15	29	a+	a+	PUNCT
ejpam-3196	15	30	b	b	PROPN
ejpam-3196	15	31	2	2	X
ejpam-3196	15	32	)	)	PUNCT
ejpam-3196	15	33	≤	≤	NOUN
ejpam-3196	15	34	1	1	NUM
ejpam-3196	15	35	b−	b−	PROPN
ejpam-3196	15	36	a	a	DET
ejpam-3196	15	37	∫	∫	PROPN
ejpam-3196	15	38	b	b	PROPN
ejpam-3196	15	39	a	a	DET
ejpam-3196	15	40	f(x)dx	f(x)dx	NUM
ejpam-3196	15	41	≤	≤	NUM
ejpam-3196	15	42	f(a	f(a	NOUN
ejpam-3196	15	43	)	)	PUNCT
ejpam-3196	16	1	+	+	CCONJ
ejpam-3196	16	2	f(b	f(b	X
ejpam-3196	16	3	)	)	PUNCT
ejpam-3196	16	4	2	2	NUM
ejpam-3196	16	5	.	.	PUNCT
ejpam-3196	17	1	(	(	PUNCT
ejpam-3196	17	2	1	1	X
ejpam-3196	17	3	)	)	PUNCT
ejpam-3196	17	4	∗corresponding	∗corresponde	VERB
ejpam-3196	17	5	author	author	NOUN
ejpam-3196	17	6	.	.	PUNCT
ejpam-3196	18	1	email	email	NOUN
ejpam-3196	18	2	addresses	address	NOUN
ejpam-3196	18	3	:	:	PUNCT
ejpam-3196	18	4	miftar.ramosaco@gmail.com	miftar.ramosaco@gmail.com	X
ejpam-3196	18	5	(	(	PUNCT
ejpam-3196	18	6	m.	m.	NOUN
ejpam-3196	18	7	ramosaçaj	ramosaçaj	NOUN
ejpam-3196	18	8	)	)	PUNCT
ejpam-3196	18	9	,	,	PUNCT
ejpam-3196	18	10	artionkashuri@gmail.com	artionkashuri@gmail.com	X
ejpam-3196	18	11	(	(	PUNCT
ejpam-3196	18	12	a.	a.	NOUN
ejpam-3196	18	13	kashuri	kashuri	PROPN
ejpam-3196	18	14	)	)	PUNCT
ejpam-3196	18	15	,	,	PUNCT
ejpam-3196	18	16	rozanaliko86@gmail.com	rozanaliko86@gmail.com	PROPN
ejpam-3196	18	17	(	(	PUNCT
ejpam-3196	18	18	r.	r.	PROPN
ejpam-3196	18	19	liko	liko	PROPN
ejpam-3196	18	20	)	)	PUNCT
ejpam-3196	18	21	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3196	19	1	51	51	NUM
ejpam-3196	19	2	c	c	X
ejpam-3196	19	3	©	©	PROPN
ejpam-3196	19	4	2018	2018	NUM
ejpam-3196	19	5	ejpam	ejpam	VERB
ejpam-3196	19	6	all	all	DET
ejpam-3196	19	7	rights	right	NOUN
ejpam-3196	19	8	reserved	reserve	VERB
ejpam-3196	19	9	.	.	PUNCT
ejpam-3196	20	1	m.	m.	NOUN
ejpam-3196	20	2	ramosaçaj	ramosaçaj	PROPN
ejpam-3196	20	3	,	,	PUNCT
ejpam-3196	20	4	a.	a.	NOUN
ejpam-3196	20	5	kashuri	kashuri	PROPN
ejpam-3196	20	6	,	,	PUNCT
ejpam-3196	20	7	r.	r.	PROPN
ejpam-3196	20	8	liko	liko	PROPN
ejpam-3196	20	9	/	/	SYM
ejpam-3196	20	10	eur	eur	PROPN
ejpam-3196	20	11	.	.	PUNCT
ejpam-3196	21	1	j.	j.	PROPN
ejpam-3196	21	2	pure	pure	PROPN
ejpam-3196	21	3	appl	appl	PROPN
ejpam-3196	21	4	.	.	PROPN
ejpam-3196	21	5	math	math	PROPN
ejpam-3196	21	6	,	,	PUNCT
ejpam-3196	21	7	11	11	NUM
ejpam-3196	21	8	(	(	PUNCT
ejpam-3196	21	9	1	1	NUM
ejpam-3196	21	10	)	)	PUNCT
ejpam-3196	21	11	(	(	PUNCT
ejpam-3196	21	12	2018	2018	NUM
ejpam-3196	21	13	)	)	PUNCT
ejpam-3196	21	14	,	,	PUNCT
ejpam-3196	21	15	51	51	NUM
ejpam-3196	21	16	-	-	SYM
ejpam-3196	21	17	68	68	NUM
ejpam-3196	21	18	52	52	NUM
ejpam-3196	21	19	the	the	DET
ejpam-3196	21	20	most	most	ADV
ejpam-3196	21	21	well	well	ADV
ejpam-3196	21	22	-	-	PUNCT
ejpam-3196	21	23	known	know	VERB
ejpam-3196	21	24	inequalities	inequality	NOUN
ejpam-3196	21	25	related	relate	VERB
ejpam-3196	21	26	to	to	ADP
ejpam-3196	21	27	the	the	DET
ejpam-3196	21	28	integral	integral	ADJ
ejpam-3196	21	29	mean	mean	NOUN
ejpam-3196	21	30	of	of	ADP
ejpam-3196	21	31	a	a	DET
ejpam-3196	21	32	convex	convex	NOUN
ejpam-3196	21	33	function	function	NOUN
ejpam-3196	21	34	f	f	PROPN
ejpam-3196	21	35	are	be	AUX
ejpam-3196	21	36	the	the	DET
ejpam-3196	21	37	hermite	hermite	PROPN
ejpam-3196	21	38	-	-	PUNCT
ejpam-3196	21	39	hadamard	hadamard	ADJ
ejpam-3196	21	40	inequalities	inequality	NOUN
ejpam-3196	21	41	or	or	CCONJ
ejpam-3196	21	42	its	its	PRON
ejpam-3196	21	43	weighted	weighted	ADJ
ejpam-3196	21	44	versions	version	NOUN
ejpam-3196	21	45	,	,	PUNCT
ejpam-3196	21	46	the	the	DET
ejpam-3196	21	47	so	so	ADV
ejpam-3196	21	48	-	-	PUNCT
ejpam-3196	21	49	called	call	VERB
ejpam-3196	21	50	hermitehadamard	hermitehadamard	NOUN
ejpam-3196	21	51	-	-	PUNCT
ejpam-3196	21	52	fejér	fejér	NOUN
ejpam-3196	21	53	inequalities	inequality	NOUN
ejpam-3196	21	54	.	.	PUNCT
ejpam-3196	22	1	definition	definition	NOUN
ejpam-3196	22	2	1	1	NUM
ejpam-3196	22	3	.	.	PUNCT
ejpam-3196	23	1	[	[	X
ejpam-3196	23	2	28	28	NUM
ejpam-3196	23	3	]	]	X
ejpam-3196	23	4	a	a	DET
ejpam-3196	23	5	function	function	NOUN
ejpam-3196	23	6	w	w	NOUN
ejpam-3196	23	7	:	:	PUNCT
ejpam-3196	23	8	[	[	X
ejpam-3196	23	9	a	a	X
ejpam-3196	23	10	,	,	PUNCT
ejpam-3196	23	11	b	b	NOUN
ejpam-3196	23	12	]	]	PUNCT
ejpam-3196	23	13	⊆	⊆	NUM
ejpam-3196	23	14	r	r	NOUN
ejpam-3196	23	15	−→	−→	NOUN
ejpam-3196	23	16	r	r	NOUN
ejpam-3196	23	17	is	be	AUX
ejpam-3196	23	18	said	say	VERB
ejpam-3196	23	19	to	to	PART
ejpam-3196	23	20	be	be	AUX
ejpam-3196	23	21	symmetric	symmetric	ADJ
ejpam-3196	23	22	with	with	ADP
ejpam-3196	23	23	respect	respect	NOUN
ejpam-3196	23	24	to	to	ADP
ejpam-3196	23	25	a+	a+	PRON
ejpam-3196	23	26	b	b	PROPN
ejpam-3196	23	27	2	2	NUM
ejpam-3196	23	28	,	,	PUNCT
ejpam-3196	23	29	if	if	SCONJ
ejpam-3196	23	30	w(x	w(x	NOUN
ejpam-3196	23	31	)	)	PUNCT
ejpam-3196	24	1	=	=	VERB
ejpam-3196	24	2	w(a+	w(a+	NOUN
ejpam-3196	24	3	b−	b−	NOUN
ejpam-3196	24	4	x	x	NOUN
ejpam-3196	24	5	)	)	PUNCT
ejpam-3196	24	6	holds	hold	VERB
ejpam-3196	24	7	for	for	ADP
ejpam-3196	24	8	all	all	DET
ejpam-3196	24	9	x	x	SYM
ejpam-3196	24	10	∈	∈	PROPN
ejpam-3196	24	11	[	[	X
ejpam-3196	24	12	a	a	X
ejpam-3196	24	13	,	,	PUNCT
ejpam-3196	24	14	b	b	NOUN
ejpam-3196	24	15	]	]	PUNCT
ejpam-3196	24	16	.	.	PUNCT
ejpam-3196	25	1	example	example	NOUN
ejpam-3196	26	1	1	1	NUM
ejpam-3196	26	2	.	.	X
ejpam-3196	26	3	assume	assume	VERB
ejpam-3196	26	4	that	that	SCONJ
ejpam-3196	26	5	w1	w1	NOUN
ejpam-3196	26	6	,	,	PUNCT
ejpam-3196	26	7	w2	w2	NOUN
ejpam-3196	26	8	:	:	PUNCT
ejpam-3196	27	1	[	[	X
ejpam-3196	27	2	a	a	X
ejpam-3196	27	3	,	,	PUNCT
ejpam-3196	27	4	b	b	NOUN
ejpam-3196	27	5	]	]	PUNCT
ejpam-3196	27	6	⊆	⊆	NUM
ejpam-3196	27	7	r	r	NOUN
ejpam-3196	27	8	−→	−→	NOUN
ejpam-3196	27	9	r	r	NOUN
ejpam-3196	27	10	,	,	PUNCT
ejpam-3196	27	11	w1(x	w1(x	NUM
ejpam-3196	27	12	)	)	PUNCT
ejpam-3196	27	13	=	=	SYM
ejpam-3196	27	14	c	c	PROPN
ejpam-3196	27	15	for	for	ADP
ejpam-3196	27	16	c	c	PROPN
ejpam-3196	27	17	∈	∈	PROPN
ejpam-3196	27	18	r	r	NOUN
ejpam-3196	27	19	,	,	PUNCT
ejpam-3196	27	20	w2(x	w2(x	NOUN
ejpam-3196	27	21	)	)	PUNCT
ejpam-3196	27	22	=(	=(	NOUN
ejpam-3196	27	23	x−	x−	PROPN
ejpam-3196	27	24	a+	a+	PUNCT
ejpam-3196	27	25	b	b	PROPN
ejpam-3196	27	26	2	2	NUM
ejpam-3196	27	27	)	)	SYM
ejpam-3196	27	28	2	2	NUM
ejpam-3196	27	29	,	,	PUNCT
ejpam-3196	27	30	then	then	ADV
ejpam-3196	27	31	w1	w1	NOUN
ejpam-3196	27	32	,	,	PUNCT
ejpam-3196	27	33	w2	w2	NOUN
ejpam-3196	27	34	are	be	AUX
ejpam-3196	27	35	symmetric	symmetric	ADJ
ejpam-3196	27	36	functions	function	NOUN
ejpam-3196	27	37	with	with	ADP
ejpam-3196	27	38	respect	respect	NOUN
ejpam-3196	27	39	to	to	ADP
ejpam-3196	27	40	a+	a+	PRON
ejpam-3196	27	41	b	b	PROPN
ejpam-3196	27	42	2	2	NUM
ejpam-3196	27	43	.	.	PUNCT
ejpam-3196	28	1	in	in	ADP
ejpam-3196	28	2	[	[	X
ejpam-3196	28	3	12	12	NUM
ejpam-3196	28	4	]	]	PUNCT
ejpam-3196	28	5	,	,	PUNCT
ejpam-3196	28	6	fejér	fejér	NOUN
ejpam-3196	28	7	established	establish	VERB
ejpam-3196	28	8	the	the	DET
ejpam-3196	28	9	following	follow	VERB
ejpam-3196	28	10	hermite	hermite	ADJ
ejpam-3196	28	11	-	-	PUNCT
ejpam-3196	28	12	hadamard	hadamard	ADJ
ejpam-3196	28	13	-	-	PUNCT
ejpam-3196	28	14	fejér	fejér	NOUN
ejpam-3196	28	15	inequality	inequality	NOUN
ejpam-3196	28	16	which	which	PRON
ejpam-3196	28	17	is	be	AUX
ejpam-3196	28	18	the	the	DET
ejpam-3196	28	19	weighted	weighted	ADJ
ejpam-3196	28	20	generalization	generalization	NOUN
ejpam-3196	28	21	of	of	ADP
ejpam-3196	28	22	the	the	DET
ejpam-3196	28	23	hermite	hermite	PROPN
ejpam-3196	28	24	-	-	PUNCT
ejpam-3196	28	25	hadamard	hadamard	ADJ
ejpam-3196	28	26	inequality	inequality	NOUN
ejpam-3196	28	27	(	(	PUNCT
ejpam-3196	28	28	1	1	NUM
ejpam-3196	28	29	)	)	PUNCT
ejpam-3196	28	30	.	.	PUNCT
ejpam-3196	29	1	theorem	theorem	NOUN
ejpam-3196	29	2	2	2	NUM
ejpam-3196	29	3	.	.	PUNCT
ejpam-3196	30	1	[	[	X
ejpam-3196	30	2	12	12	NUM
ejpam-3196	30	3	]	]	PUNCT
ejpam-3196	30	4	let	let	VERB
ejpam-3196	30	5	f	f	NOUN
ejpam-3196	30	6	:	:	PUNCT
ejpam-3196	31	1	[	[	X
ejpam-3196	31	2	a	a	X
ejpam-3196	31	3	,	,	PUNCT
ejpam-3196	31	4	b	b	NOUN
ejpam-3196	31	5	]	]	PUNCT
ejpam-3196	31	6	⊆	⊆	NUM
ejpam-3196	31	7	r	r	NOUN
ejpam-3196	31	8	−→	−→	NOUN
ejpam-3196	31	9	r	r	NOUN
ejpam-3196	31	10	be	be	VERB
ejpam-3196	31	11	a	a	DET
ejpam-3196	31	12	convex	convex	NOUN
ejpam-3196	31	13	function	function	NOUN
ejpam-3196	31	14	.	.	PUNCT
ejpam-3196	32	1	then	then	ADV
ejpam-3196	32	2	the	the	DET
ejpam-3196	32	3	inequality	inequality	NOUN
ejpam-3196	32	4	f	f	PROPN
ejpam-3196	32	5	(	(	PUNCT
ejpam-3196	32	6	a+	a+	PROPN
ejpam-3196	32	7	b	b	PROPN
ejpam-3196	32	8	2	2	NUM
ejpam-3196	32	9	)	)	PUNCT
ejpam-3196	32	10	∫	∫	PROPN
ejpam-3196	32	11	b	b	PROPN
ejpam-3196	32	12	a	a	DET
ejpam-3196	32	13	w(x)dx	w(x)dx	ADJ
ejpam-3196	32	14	≤	≤	NUM
ejpam-3196	32	15	∫	∫	PROPN
ejpam-3196	32	16	b	b	PROPN
ejpam-3196	32	17	a	a	DET
ejpam-3196	32	18	f(x)w(x)dx	f(x)w(x)dx	ADJ
ejpam-3196	32	19	≤	≤	NUM
ejpam-3196	32	20	f(a	f(a	NOUN
ejpam-3196	32	21	)	)	PUNCT
ejpam-3196	32	22	+	+	CCONJ
ejpam-3196	32	23	f(b	f(b	X
ejpam-3196	32	24	)	)	PUNCT
ejpam-3196	32	25	2	2	NUM
ejpam-3196	32	26	∫	∫	NOUN
ejpam-3196	32	27	b	b	PROPN
ejpam-3196	33	1	a	a	DET
ejpam-3196	33	2	w(x)dx	w(x)dx	VERB
ejpam-3196	33	3	(	(	PUNCT
ejpam-3196	33	4	2	2	NUM
ejpam-3196	33	5	)	)	PUNCT
ejpam-3196	33	6	holds	hold	NOUN
ejpam-3196	33	7	,	,	PUNCT
ejpam-3196	33	8	where	where	SCONJ
ejpam-3196	33	9	w	w	X
ejpam-3196	33	10	:	:	PUNCT
ejpam-3196	34	1	[	[	X
ejpam-3196	34	2	a	a	X
ejpam-3196	34	3	,	,	PUNCT
ejpam-3196	34	4	b	b	NOUN
ejpam-3196	34	5	]	]	X
ejpam-3196	34	6	−→	−→	NOUN
ejpam-3196	34	7	r	r	NOUN
ejpam-3196	34	8	is	be	AUX
ejpam-3196	34	9	nonnegative	nonnegative	ADJ
ejpam-3196	34	10	,	,	PUNCT
ejpam-3196	34	11	integrable	integrable	ADJ
ejpam-3196	34	12	and	and	CCONJ
ejpam-3196	34	13	symmetric	symmetric	ADJ
ejpam-3196	34	14	to	to	ADP
ejpam-3196	34	15	a+	a+	PRON
ejpam-3196	34	16	b	b	PROPN
ejpam-3196	34	17	2	2	NUM
ejpam-3196	34	18	.	.	PUNCT
ejpam-3196	35	1	in	in	ADP
ejpam-3196	35	2	recent	recent	ADJ
ejpam-3196	35	3	years	year	NOUN
ejpam-3196	35	4	,	,	PUNCT
ejpam-3196	35	5	various	various	ADJ
ejpam-3196	35	6	generalizations	generalization	NOUN
ejpam-3196	35	7	,	,	PUNCT
ejpam-3196	35	8	extensions	extension	NOUN
ejpam-3196	35	9	and	and	CCONJ
ejpam-3196	35	10	variants	variant	NOUN
ejpam-3196	35	11	of	of	ADP
ejpam-3196	35	12	such	such	ADJ
ejpam-3196	35	13	inequalities	inequality	NOUN
ejpam-3196	35	14	have	have	AUX
ejpam-3196	35	15	been	be	AUX
ejpam-3196	35	16	obtained	obtain	VERB
ejpam-3196	35	17	.	.	PUNCT
ejpam-3196	36	1	for	for	ADP
ejpam-3196	36	2	other	other	ADJ
ejpam-3196	36	3	recent	recent	ADJ
ejpam-3196	36	4	results	result	NOUN
ejpam-3196	36	5	which	which	PRON
ejpam-3196	36	6	generalize	generalize	VERB
ejpam-3196	36	7	,	,	PUNCT
ejpam-3196	36	8	improve	improve	VERB
ejpam-3196	36	9	and	and	CCONJ
ejpam-3196	36	10	extend	extend	VERB
ejpam-3196	36	11	the	the	DET
ejpam-3196	36	12	inequalities	inequality	NOUN
ejpam-3196	36	13	(	(	PUNCT
ejpam-3196	36	14	1	1	NUM
ejpam-3196	36	15	)	)	PUNCT
ejpam-3196	36	16	and	and	CCONJ
ejpam-3196	36	17	(	(	PUNCT
ejpam-3196	36	18	2	2	X
ejpam-3196	36	19	)	)	PUNCT
ejpam-3196	36	20	through	through	ADP
ejpam-3196	36	21	various	various	ADJ
ejpam-3196	36	22	classes	class	NOUN
ejpam-3196	36	23	of	of	ADP
ejpam-3196	36	24	convex	convex	NOUN
ejpam-3196	36	25	functions	function	NOUN
ejpam-3196	36	26	interested	interested	ADJ
ejpam-3196	36	27	readers	reader	NOUN
ejpam-3196	36	28	are	be	AUX
ejpam-3196	36	29	referred	refer	VERB
ejpam-3196	36	30	to	to	PART
ejpam-3196	36	31	(	(	PUNCT
ejpam-3196	36	32	see	see	VERB
ejpam-3196	36	33	[	[	X
ejpam-3196	36	34	[	[	X
ejpam-3196	36	35	1]-[31],[33],[36],[39]-[44],[48],[49	1]-[31],[33],[36],[39]-[44],[48],[49	NUM
ejpam-3196	36	36	]	]	X
ejpam-3196	36	37	]	]	PUNCT
ejpam-3196	36	38	)	)	PUNCT
ejpam-3196	36	39	.	.	PUNCT
ejpam-3196	37	1	let	let	VERB
ejpam-3196	37	2	us	we	PRON
ejpam-3196	37	3	recall	recall	VERB
ejpam-3196	37	4	some	some	DET
ejpam-3196	37	5	special	special	ADJ
ejpam-3196	37	6	functions	function	NOUN
ejpam-3196	37	7	and	and	CCONJ
ejpam-3196	37	8	evoke	evoke	VERB
ejpam-3196	37	9	some	some	DET
ejpam-3196	37	10	basic	basic	ADJ
ejpam-3196	37	11	definitions	definition	NOUN
ejpam-3196	37	12	as	as	SCONJ
ejpam-3196	37	13	follows	follow	VERB
ejpam-3196	37	14	.	.	PUNCT
ejpam-3196	38	1	definition	definition	NOUN
ejpam-3196	38	2	2	2	NUM
ejpam-3196	38	3	.	.	PUNCT
ejpam-3196	39	1	the	the	DET
ejpam-3196	39	2	euler	euler	NOUN
ejpam-3196	39	3	beta	beta	NOUN
ejpam-3196	39	4	function	function	NOUN
ejpam-3196	39	5	is	be	AUX
ejpam-3196	39	6	defined	define	VERB
ejpam-3196	39	7	for	for	ADP
ejpam-3196	39	8	a	a	DET
ejpam-3196	39	9	,	,	PUNCT
ejpam-3196	39	10	b	b	X
ejpam-3196	39	11	>	>	X
ejpam-3196	39	12	0	0	PUNCT
ejpam-3196	39	13	as	as	ADP
ejpam-3196	39	14	β(a	β(a	PROPN
ejpam-3196	39	15	,	,	PUNCT
ejpam-3196	39	16	b	b	NOUN
ejpam-3196	39	17	)	)	PUNCT
ejpam-3196	39	18	=	=	SYM
ejpam-3196	40	1	∫	∫	PROPN
ejpam-3196	40	2	1	1	NUM
ejpam-3196	40	3	0	0	NUM
ejpam-3196	40	4	ta−1(1−	ta−1(1−	PROPN
ejpam-3196	40	5	t)b−1dt	t)b−1dt	PROPN
ejpam-3196	40	6	=	=	PUNCT
ejpam-3196	40	7	γ(a)γ(b	γ(a)γ(b	X
ejpam-3196	40	8	)	)	PUNCT
ejpam-3196	40	9	γ(a+	γ(a+	NOUN
ejpam-3196	40	10	b	b	NOUN
ejpam-3196	40	11	)	)	PUNCT
ejpam-3196	40	12	.	.	PUNCT
ejpam-3196	41	1	(	(	PUNCT
ejpam-3196	41	2	3	3	X
ejpam-3196	41	3	)	)	PUNCT
ejpam-3196	41	4	definition	definition	NOUN
ejpam-3196	41	5	3	3	NUM
ejpam-3196	41	6	.	.	PUNCT
ejpam-3196	42	1	let	let	VERB
ejpam-3196	42	2	f	f	PROPN
ejpam-3196	42	3	∈	∈	PROPN
ejpam-3196	42	4	l1[a	l1[a	NOUN
ejpam-3196	42	5	,	,	PUNCT
ejpam-3196	42	6	b	b	NOUN
ejpam-3196	42	7	]	]	X
ejpam-3196	42	8	.	.	PUNCT
ejpam-3196	43	1	the	the	DET
ejpam-3196	43	2	riemann	riemann	PROPN
ejpam-3196	43	3	-	-	PUNCT
ejpam-3196	43	4	liouville	liouville	NOUN
ejpam-3196	43	5	integrals	integral	NOUN
ejpam-3196	43	6	jαa+f	jαa+f	PROPN
ejpam-3196	43	7	and	and	CCONJ
ejpam-3196	43	8	jαb−f	jαb−f	NOUN
ejpam-3196	43	9	of	of	ADP
ejpam-3196	43	10	order	order	NOUN
ejpam-3196	43	11	α	α	X
ejpam-3196	43	12	>	>	X
ejpam-3196	43	13	0	0	PUNCT
ejpam-3196	43	14	with	with	ADP
ejpam-3196	43	15	a	a	DET
ejpam-3196	43	16	≥	≥	NOUN
ejpam-3196	43	17	0	0	NUM
ejpam-3196	43	18	are	be	AUX
ejpam-3196	43	19	defined	define	VERB
ejpam-3196	43	20	by	by	ADP
ejpam-3196	43	21	jαa+f(x	jαa+f(x	PROPN
ejpam-3196	43	22	)	)	PUNCT
ejpam-3196	43	23	=	=	SYM
ejpam-3196	43	24	1	1	NUM
ejpam-3196	43	25	γ(α	γ(α	NOUN
ejpam-3196	43	26	)	)	PUNCT
ejpam-3196	43	27	∫	∫	PROPN
ejpam-3196	44	1	x	x	X
ejpam-3196	44	2	a	a	DET
ejpam-3196	44	3	(	(	PUNCT
ejpam-3196	44	4	x−	x−	PROPN
ejpam-3196	44	5	t)α−1f(t)dt	t)α−1f(t)dt	PROPN
ejpam-3196	44	6	,	,	PUNCT
ejpam-3196	44	7	x	x	X
ejpam-3196	44	8	>	>	X
ejpam-3196	44	9	a	a	PRON
ejpam-3196	44	10	and	and	CCONJ
ejpam-3196	44	11	jαb−f(x	jαb−f(x	PROPN
ejpam-3196	44	12	)	)	PUNCT
ejpam-3196	44	13	=	=	SYM
ejpam-3196	44	14	1	1	NUM
ejpam-3196	44	15	γ(α	γ(α	NOUN
ejpam-3196	44	16	)	)	PUNCT
ejpam-3196	45	1	∫	∫	PROPN
ejpam-3196	46	1	b	b	PROPN
ejpam-3196	46	2	x	x	X
ejpam-3196	46	3	(	(	PUNCT
ejpam-3196	46	4	t−	t−	PROPN
ejpam-3196	46	5	x)α−1f(t)dt	x)α−1f(t)dt	PROPN
ejpam-3196	46	6	,	,	PUNCT
ejpam-3196	46	7	b	b	X
ejpam-3196	46	8	>	>	X
ejpam-3196	46	9	x.	x.	NOUN
ejpam-3196	46	10	(	(	PUNCT
ejpam-3196	46	11	4	4	NUM
ejpam-3196	46	12	)	)	PUNCT
ejpam-3196	46	13	here	here	ADV
ejpam-3196	46	14	j0	j0	PROPN
ejpam-3196	46	15	a+f(x	a+f(x	NOUN
ejpam-3196	46	16	)	)	PUNCT
ejpam-3196	46	17	=	=	PROPN
ejpam-3196	46	18	j0	j0	PROPN
ejpam-3196	46	19	b−f(x	b−f(x	PROPN
ejpam-3196	46	20	)	)	PUNCT
ejpam-3196	46	21	=	=	SYM
ejpam-3196	46	22	f(x	f(x	PROPN
ejpam-3196	46	23	)	)	PUNCT
ejpam-3196	46	24	.	.	PUNCT
ejpam-3196	47	1	in	in	ADP
ejpam-3196	47	2	the	the	DET
ejpam-3196	47	3	case	case	NOUN
ejpam-3196	47	4	of	of	ADP
ejpam-3196	47	5	α	α	NOUN
ejpam-3196	47	6	=	=	SYM
ejpam-3196	47	7	1	1	NUM
ejpam-3196	47	8	,	,	PUNCT
ejpam-3196	47	9	the	the	DET
ejpam-3196	47	10	fractional	fractional	ADJ
ejpam-3196	47	11	integral	integral	ADJ
ejpam-3196	47	12	reduces	reduce	NOUN
ejpam-3196	47	13	to	to	ADP
ejpam-3196	47	14	the	the	DET
ejpam-3196	47	15	classical	classical	ADJ
ejpam-3196	47	16	integral	integral	ADJ
ejpam-3196	47	17	.	.	PUNCT
ejpam-3196	47	18	m.	m.	NOUN
ejpam-3196	47	19	ramosaçaj	ramosaçaj	PROPN
ejpam-3196	47	20	,	,	PUNCT
ejpam-3196	47	21	a.	a.	NOUN
ejpam-3196	47	22	kashuri	kashuri	PROPN
ejpam-3196	47	23	,	,	PUNCT
ejpam-3196	47	24	r.	r.	PROPN
ejpam-3196	47	25	liko	liko	PROPN
ejpam-3196	47	26	/	/	SYM
ejpam-3196	47	27	eur	eur	PROPN
ejpam-3196	47	28	.	.	PUNCT
ejpam-3196	48	1	j.	j.	PROPN
ejpam-3196	48	2	pure	pure	PROPN
ejpam-3196	48	3	appl	appl	PROPN
ejpam-3196	48	4	.	.	PROPN
ejpam-3196	48	5	math	math	PROPN
ejpam-3196	48	6	,	,	PUNCT
ejpam-3196	48	7	11	11	NUM
ejpam-3196	48	8	(	(	PUNCT
ejpam-3196	48	9	1	1	NUM
ejpam-3196	48	10	)	)	PUNCT
ejpam-3196	48	11	(	(	PUNCT
ejpam-3196	48	12	2018	2018	NUM
ejpam-3196	48	13	)	)	PUNCT
ejpam-3196	48	14	,	,	PUNCT
ejpam-3196	48	15	51	51	NUM
ejpam-3196	48	16	-	-	SYM
ejpam-3196	48	17	68	68	NUM
ejpam-3196	48	18	53	53	NUM
ejpam-3196	48	19	definition	definition	NOUN
ejpam-3196	48	20	4	4	NUM
ejpam-3196	48	21	.	.	X
ejpam-3196	49	1	for	for	ADP
ejpam-3196	49	2	k	k	PROPN
ejpam-3196	49	3	∈	∈	PROPN
ejpam-3196	49	4	r+	r+	PUNCT
ejpam-3196	49	5	and	and	CCONJ
ejpam-3196	49	6	x	x	PUNCT
ejpam-3196	49	7	∈	∈	PROPN
ejpam-3196	49	8	c	c	NOUN
ejpam-3196	49	9	,	,	PUNCT
ejpam-3196	49	10	the	the	DET
ejpam-3196	49	11	k	k	PROPN
ejpam-3196	49	12	-	-	PUNCT
ejpam-3196	49	13	gamma	gamma	NOUN
ejpam-3196	49	14	function	function	NOUN
ejpam-3196	49	15	is	be	AUX
ejpam-3196	49	16	defined	define	VERB
ejpam-3196	49	17	by	by	ADP
ejpam-3196	49	18	γk(x	γk(x	NOUN
ejpam-3196	49	19	)	)	PUNCT
ejpam-3196	50	1	=	=	SYM
ejpam-3196	50	2	lim	lim	PROPN
ejpam-3196	50	3	n−→∞	n−→∞	PROPN
ejpam-3196	50	4	n!knnk	n!knnk	X
ejpam-3196	50	5	x	x	PUNCT
ejpam-3196	50	6	k	k	X
ejpam-3196	50	7	−1	−1	NOUN
ejpam-3196	50	8	(	(	PUNCT
ejpam-3196	50	9	x)n	x)n	PROPN
ejpam-3196	50	10	,	,	PUNCT
ejpam-3196	50	11	k	k	X
ejpam-3196	50	12	.	.	PUNCT
ejpam-3196	51	1	(	(	PUNCT
ejpam-3196	51	2	5	5	X
ejpam-3196	51	3	)	)	PUNCT
ejpam-3196	51	4	its	its	PRON
ejpam-3196	51	5	integral	integral	ADJ
ejpam-3196	51	6	representation	representation	NOUN
ejpam-3196	51	7	is	be	AUX
ejpam-3196	51	8	given	give	VERB
ejpam-3196	51	9	by	by	ADP
ejpam-3196	51	10	γk(α	γk(α	NUM
ejpam-3196	51	11	)	)	PUNCT
ejpam-3196	51	12	=	=	SYM
ejpam-3196	52	1	∫	∫	PROPN
ejpam-3196	52	2	∞	∞	NUM
ejpam-3196	53	1	0	0	NUM
ejpam-3196	53	2	tα−1e−	tα−1e−	NOUN
ejpam-3196	53	3	tk	tk	PROPN
ejpam-3196	53	4	k	k	PROPN
ejpam-3196	53	5	dt	dt	PROPN
ejpam-3196	53	6	.	.	PUNCT
ejpam-3196	54	1	(	(	PUNCT
ejpam-3196	54	2	6	6	X
ejpam-3196	54	3	)	)	PUNCT
ejpam-3196	54	4	one	one	NOUN
ejpam-3196	54	5	can	can	AUX
ejpam-3196	54	6	note	note	VERB
ejpam-3196	54	7	that	that	SCONJ
ejpam-3196	54	8	γk(α+	γk(α+	PROPN
ejpam-3196	54	9	k	k	NOUN
ejpam-3196	54	10	)	)	PUNCT
ejpam-3196	54	11	=	=	SYM
ejpam-3196	54	12	αγk(α	αγk(α	PROPN
ejpam-3196	54	13	)	)	PUNCT
ejpam-3196	54	14	.	.	PUNCT
ejpam-3196	55	1	(	(	PUNCT
ejpam-3196	55	2	7	7	X
ejpam-3196	55	3	)	)	PUNCT
ejpam-3196	55	4	for	for	ADP
ejpam-3196	55	5	k	k	PROPN
ejpam-3196	55	6	=	=	SYM
ejpam-3196	55	7	1	1	NUM
ejpam-3196	55	8	,	,	PUNCT
ejpam-3196	55	9	(	(	PUNCT
ejpam-3196	55	10	6	6	X
ejpam-3196	55	11	)	)	PUNCT
ejpam-3196	55	12	gives	give	VERB
ejpam-3196	55	13	integral	integral	ADJ
ejpam-3196	55	14	representation	representation	NOUN
ejpam-3196	55	15	of	of	ADP
ejpam-3196	55	16	gamma	gamma	PROPN
ejpam-3196	55	17	function	function	NOUN
ejpam-3196	55	18	.	.	PUNCT
ejpam-3196	56	1	definition	definition	NOUN
ejpam-3196	56	2	5	5	NUM
ejpam-3196	56	3	.	.	PUNCT
ejpam-3196	57	1	[	[	X
ejpam-3196	57	2	35	35	NUM
ejpam-3196	57	3	]	]	PUNCT
ejpam-3196	57	4	let	let	VERB
ejpam-3196	57	5	f	f	PROPN
ejpam-3196	57	6	∈	∈	PROPN
ejpam-3196	57	7	l1[a	l1[a	NOUN
ejpam-3196	57	8	,	,	PUNCT
ejpam-3196	57	9	b	b	NOUN
ejpam-3196	57	10	]	]	X
ejpam-3196	57	11	.	.	PUNCT
ejpam-3196	58	1	then	then	ADV
ejpam-3196	58	2	k	k	ADJ
ejpam-3196	58	3	-	-	PUNCT
ejpam-3196	58	4	fractional	fractional	ADJ
ejpam-3196	58	5	integrals	integral	NOUN
ejpam-3196	58	6	of	of	ADP
ejpam-3196	58	7	order	order	NOUN
ejpam-3196	58	8	α	α	NOUN
ejpam-3196	58	9	,	,	PUNCT
ejpam-3196	58	10	k	k	PROPN
ejpam-3196	58	11	>	>	X
ejpam-3196	58	12	0	0	PUNCT
ejpam-3196	58	13	with	with	ADP
ejpam-3196	58	14	a	a	DET
ejpam-3196	58	15	≥	≥	NOUN
ejpam-3196	58	16	0	0	NUM
ejpam-3196	58	17	are	be	AUX
ejpam-3196	58	18	defined	define	VERB
ejpam-3196	58	19	as	as	ADP
ejpam-3196	58	20	iα	iα	NOUN
ejpam-3196	58	21	,	,	PUNCT
ejpam-3196	58	22	ka+	ka+	ADJ
ejpam-3196	58	23	f(x	f(x	PROPN
ejpam-3196	58	24	)	)	PUNCT
ejpam-3196	59	1	=	=	PUNCT
ejpam-3196	59	2	1	1	NUM
ejpam-3196	59	3	kγk(α	kγk(α	PROPN
ejpam-3196	59	4	)	)	PUNCT
ejpam-3196	59	5	∫	∫	PROPN
ejpam-3196	60	1	x	x	X
ejpam-3196	60	2	a	a	PRON
ejpam-3196	60	3	(	(	PUNCT
ejpam-3196	60	4	x−	x−	PROPN
ejpam-3196	60	5	t	t	PROPN
ejpam-3196	60	6	)	)	PUNCT
ejpam-3196	60	7	α	α	PROPN
ejpam-3196	60	8	k	k	PROPN
ejpam-3196	60	9	−1f(t)dt	−1f(t)dt	PROPN
ejpam-3196	60	10	,	,	PUNCT
ejpam-3196	60	11	x	x	X
ejpam-3196	60	12	>	>	X
ejpam-3196	60	13	a	a	PRON
ejpam-3196	60	14	and	and	CCONJ
ejpam-3196	60	15	iα	iα	ADJ
ejpam-3196	60	16	,	,	PUNCT
ejpam-3196	60	17	kb−	kb−	PROPN
ejpam-3196	60	18	f(x	f(x	PROPN
ejpam-3196	60	19	)	)	PUNCT
ejpam-3196	60	20	=	=	NOUN
ejpam-3196	60	21	1	1	NUM
ejpam-3196	60	22	kγk(α	kγk(α	PROPN
ejpam-3196	60	23	)	)	PUNCT
ejpam-3196	60	24	∫	∫	PROPN
ejpam-3196	61	1	b	b	PROPN
ejpam-3196	61	2	x	x	X
ejpam-3196	61	3	(	(	PUNCT
ejpam-3196	61	4	t−	t−	PROPN
ejpam-3196	61	5	x	x	SYM
ejpam-3196	61	6	)	)	PUNCT
ejpam-3196	61	7	α	α	PROPN
ejpam-3196	61	8	k	k	PROPN
ejpam-3196	61	9	−1f(t)dt	−1f(t)dt	PROPN
ejpam-3196	61	10	,	,	PUNCT
ejpam-3196	61	11	b	b	X
ejpam-3196	61	12	>	>	X
ejpam-3196	61	13	x.	x.	PROPN
ejpam-3196	61	14	(	(	PUNCT
ejpam-3196	61	15	8)	8)	NUM
ejpam-3196	61	16	for	for	ADP
ejpam-3196	61	17	k	k	PROPN
ejpam-3196	61	18	=	=	SYM
ejpam-3196	61	19	1	1	NUM
ejpam-3196	61	20	,	,	PUNCT
ejpam-3196	61	21	k	k	ADJ
ejpam-3196	61	22	-	-	PUNCT
ejpam-3196	61	23	fractional	fractional	ADJ
ejpam-3196	61	24	integrals	integral	NOUN
ejpam-3196	61	25	give	give	VERB
ejpam-3196	61	26	riemann	riemann	NOUN
ejpam-3196	61	27	-	-	PUNCT
ejpam-3196	61	28	liouville	liouville	NOUN
ejpam-3196	61	29	integrals	integral	NOUN
ejpam-3196	61	30	.	.	PUNCT
ejpam-3196	62	1	definition	definition	NOUN
ejpam-3196	62	2	6	6	NUM
ejpam-3196	62	3	.	.	PUNCT
ejpam-3196	63	1	[	[	X
ejpam-3196	63	2	47	47	NUM
ejpam-3196	63	3	]	]	PUNCT
ejpam-3196	63	4	a	a	DET
ejpam-3196	63	5	set	set	NOUN
ejpam-3196	63	6	mϕ	mϕ	ADP
ejpam-3196	63	7	⊆	⊆	NUM
ejpam-3196	63	8	rn	rn	PROPN
ejpam-3196	63	9	is	be	AUX
ejpam-3196	63	10	named	name	VERB
ejpam-3196	63	11	as	as	ADP
ejpam-3196	63	12	a	a	DET
ejpam-3196	63	13	relative	relative	ADJ
ejpam-3196	63	14	convex	convex	NOUN
ejpam-3196	63	15	(	(	PUNCT
ejpam-3196	63	16	ϕ-convex	ϕ-convex	NOUN
ejpam-3196	63	17	)	)	PUNCT
ejpam-3196	63	18	set	set	NOUN
ejpam-3196	63	19	,	,	PUNCT
ejpam-3196	63	20	if	if	SCONJ
ejpam-3196	63	21	and	and	CCONJ
ejpam-3196	63	22	only	only	ADV
ejpam-3196	63	23	if	if	SCONJ
ejpam-3196	63	24	,	,	PUNCT
ejpam-3196	63	25	there	there	PRON
ejpam-3196	63	26	exists	exist	VERB
ejpam-3196	63	27	a	a	DET
ejpam-3196	63	28	function	function	NOUN
ejpam-3196	63	29	ϕ	ϕ	NOUN
ejpam-3196	63	30	:	:	PUNCT
ejpam-3196	64	1	rn	rn	PROPN
ejpam-3196	64	2	−→	−→	PROPN
ejpam-3196	64	3	rn	rn	PROPN
ejpam-3196	64	4	such	such	ADJ
ejpam-3196	64	5	that	that	PRON
ejpam-3196	64	6	,	,	PUNCT
ejpam-3196	64	7	tϕ(x	tϕ(x	PUNCT
ejpam-3196	64	8	)	)	PUNCT
ejpam-3196	65	1	+	+	CCONJ
ejpam-3196	65	2	(	(	PUNCT
ejpam-3196	65	3	1−	1−	NUM
ejpam-3196	65	4	t)ϕ(y	t)ϕ(y	NOUN
ejpam-3196	65	5	)	)	PUNCT
ejpam-3196	65	6	∈mϕ	∈mϕ	NOUN
ejpam-3196	65	7	,	,	PUNCT
ejpam-3196	65	8	∀	∀	X
ejpam-3196	65	9	x	x	NOUN
ejpam-3196	65	10	,	,	PUNCT
ejpam-3196	65	11	y	y	PROPN
ejpam-3196	65	12	∈	∈	PROPN
ejpam-3196	65	13	rn	rn	PROPN
ejpam-3196	65	14	:	:	PUNCT
ejpam-3196	65	15	ϕ(x	ϕ(x	X
ejpam-3196	65	16	)	)	PUNCT
ejpam-3196	65	17	,	,	PUNCT
ejpam-3196	65	18	ϕ(y	ϕ(y	PROPN
ejpam-3196	65	19	)	)	PUNCT
ejpam-3196	65	20	∈mϕ	∈mϕ	NOUN
ejpam-3196	65	21	,	,	PUNCT
ejpam-3196	65	22	t	t	PROPN
ejpam-3196	65	23	∈	∈	PROPN
ejpam-3196	66	1	[	[	X
ejpam-3196	66	2	0	0	NUM
ejpam-3196	66	3	,	,	PUNCT
ejpam-3196	66	4	1	1	NUM
ejpam-3196	66	5	]	]	PUNCT
ejpam-3196	66	6	.	.	PUNCT
ejpam-3196	67	1	(	(	PUNCT
ejpam-3196	67	2	9	9	X
ejpam-3196	67	3	)	)	PUNCT
ejpam-3196	67	4	definition	definition	NOUN
ejpam-3196	67	5	7	7	NUM
ejpam-3196	67	6	.	.	PUNCT
ejpam-3196	68	1	[	[	X
ejpam-3196	68	2	47	47	NUM
ejpam-3196	68	3	]	]	PUNCT
ejpam-3196	68	4	a	a	DET
ejpam-3196	68	5	function	function	NOUN
ejpam-3196	68	6	f	f	PROPN
ejpam-3196	68	7	is	be	AUX
ejpam-3196	68	8	named	name	VERB
ejpam-3196	68	9	as	as	ADP
ejpam-3196	68	10	a	a	DET
ejpam-3196	68	11	relative	relative	ADJ
ejpam-3196	68	12	convex	convex	NOUN
ejpam-3196	68	13	(	(	PUNCT
ejpam-3196	68	14	ϕ-convex	ϕ-convex	NOUN
ejpam-3196	68	15	)	)	PUNCT
ejpam-3196	68	16	function	function	NOUN
ejpam-3196	68	17	on	on	ADP
ejpam-3196	68	18	a	a	DET
ejpam-3196	68	19	relative	relative	ADJ
ejpam-3196	68	20	convex	convex	NOUN
ejpam-3196	68	21	(	(	PUNCT
ejpam-3196	68	22	ϕ-convex	ϕ-convex	NOUN
ejpam-3196	68	23	)	)	PUNCT
ejpam-3196	68	24	set	set	VERB
ejpam-3196	69	1	mϕ	mϕ	INTJ
ejpam-3196	69	2	,	,	PUNCT
ejpam-3196	69	3	if	if	SCONJ
ejpam-3196	69	4	and	and	CCONJ
ejpam-3196	69	5	only	only	ADV
ejpam-3196	69	6	if	if	SCONJ
ejpam-3196	69	7	,	,	PUNCT
ejpam-3196	69	8	there	there	PRON
ejpam-3196	69	9	exists	exist	VERB
ejpam-3196	69	10	a	a	DET
ejpam-3196	69	11	function	function	NOUN
ejpam-3196	69	12	ϕ	ϕ	NOUN
ejpam-3196	69	13	:	:	PUNCT
ejpam-3196	70	1	rn	rn	PROPN
ejpam-3196	70	2	−→	−→	PROPN
ejpam-3196	70	3	rn	rn	PROPN
ejpam-3196	70	4	such	such	ADJ
ejpam-3196	70	5	that	that	SCONJ
ejpam-3196	70	6	,	,	PUNCT
ejpam-3196	70	7	f(tϕ(x	f(tϕ(x	PROPN
ejpam-3196	70	8	)	)	PUNCT
ejpam-3196	70	9	+	+	CCONJ
ejpam-3196	70	10	(	(	PUNCT
ejpam-3196	70	11	1−	1−	NUM
ejpam-3196	70	12	t)ϕ(y	t)ϕ(y	NUM
ejpam-3196	70	13	)	)	PUNCT
ejpam-3196	70	14	)	)	PUNCT
ejpam-3196	71	1	≤	≤	NOUN
ejpam-3196	71	2	tf(ϕ(x	tf(ϕ(x	X
ejpam-3196	71	3	)	)	PUNCT
ejpam-3196	71	4	)	)	PUNCT
ejpam-3196	72	1	+	+	CCONJ
ejpam-3196	72	2	(	(	PUNCT
ejpam-3196	72	3	1−	1−	NUM
ejpam-3196	72	4	t)f(ϕ(y	t)f(ϕ(y	NUM
ejpam-3196	72	5	)	)	PUNCT
ejpam-3196	72	6	)	)	PUNCT
ejpam-3196	72	7	,	,	PUNCT
ejpam-3196	72	8	(	(	PUNCT
ejpam-3196	72	9	10	10	NUM
ejpam-3196	72	10	)	)	PUNCT
ejpam-3196	72	11	∀	∀	X
ejpam-3196	72	12	x	x	NOUN
ejpam-3196	72	13	,	,	PUNCT
ejpam-3196	72	14	y	y	PROPN
ejpam-3196	72	15	∈	∈	PROPN
ejpam-3196	72	16	rn	rn	PROPN
ejpam-3196	72	17	:	:	PUNCT
ejpam-3196	72	18	ϕ(x	ϕ(x	X
ejpam-3196	72	19	)	)	PUNCT
ejpam-3196	72	20	,	,	PUNCT
ejpam-3196	72	21	ϕ(y	ϕ(y	PROPN
ejpam-3196	72	22	)	)	PUNCT
ejpam-3196	72	23	∈mϕ	∈mϕ	NOUN
ejpam-3196	72	24	,	,	PUNCT
ejpam-3196	72	25	t	t	PROPN
ejpam-3196	72	26	∈	∈	PROPN
ejpam-3196	73	1	[	[	X
ejpam-3196	73	2	0	0	NUM
ejpam-3196	73	3	,	,	PUNCT
ejpam-3196	73	4	1	1	NUM
ejpam-3196	73	5	]	]	PUNCT
ejpam-3196	73	6	.	.	PUNCT
ejpam-3196	74	1	definition	definition	NOUN
ejpam-3196	74	2	8	8	NUM
ejpam-3196	74	3	.	.	PUNCT
ejpam-3196	75	1	[	[	X
ejpam-3196	75	2	8	8	NUM
ejpam-3196	75	3	]	]	X
ejpam-3196	75	4	a	a	DET
ejpam-3196	75	5	nonnegative	nonnegative	ADJ
ejpam-3196	75	6	function	function	NOUN
ejpam-3196	75	7	f	f	NOUN
ejpam-3196	75	8	:	:	PUNCT
ejpam-3196	75	9	i	i	PRON
ejpam-3196	75	10	⊆	⊆	NUM
ejpam-3196	75	11	r	r	NOUN
ejpam-3196	75	12	−→	−→	NOUN
ejpam-3196	75	13	[	[	X
ejpam-3196	75	14	0,+∞	0,+∞	NUM
ejpam-3196	75	15	)	)	PUNCT
ejpam-3196	75	16	is	be	AUX
ejpam-3196	75	17	said	say	VERB
ejpam-3196	75	18	to	to	PART
ejpam-3196	75	19	be	be	AUX
ejpam-3196	75	20	p	p	NOUN
ejpam-3196	75	21	-function	-function	NOUN
ejpam-3196	75	22	,	,	PUNCT
ejpam-3196	75	23	if	if	SCONJ
ejpam-3196	75	24	f(tx+	f(tx+	ADJ
ejpam-3196	75	25	(	(	PUNCT
ejpam-3196	75	26	1−	1−	NUM
ejpam-3196	75	27	t)y	t)y	ADJ
ejpam-3196	75	28	)	)	PUNCT
ejpam-3196	75	29	≤	≤	NUM
ejpam-3196	75	30	f(x	f(x	PROPN
ejpam-3196	75	31	)	)	PUNCT
ejpam-3196	76	1	+	+	SYM
ejpam-3196	77	1	f(y	f(y	NOUN
ejpam-3196	77	2	)	)	PUNCT
ejpam-3196	77	3	,	,	PUNCT
ejpam-3196	77	4	∀x	∀x	X
ejpam-3196	77	5	,	,	PUNCT
ejpam-3196	77	6	y	y	PROPN
ejpam-3196	77	7	∈	∈	PROPN
ejpam-3196	78	1	i	i	PROPN
ejpam-3196	78	2	,	,	PUNCT
ejpam-3196	78	3	t	t	PROPN
ejpam-3196	78	4	∈	∈	PROPN
ejpam-3196	79	1	[	[	X
ejpam-3196	79	2	0	0	NUM
ejpam-3196	79	3	,	,	PUNCT
ejpam-3196	79	4	1	1	NUM
ejpam-3196	79	5	]	]	PUNCT
ejpam-3196	79	6	.	.	PUNCT
ejpam-3196	80	1	definition	definition	NOUN
ejpam-3196	80	2	9	9	NUM
ejpam-3196	80	3	.	.	PUNCT
ejpam-3196	81	1	[	[	X
ejpam-3196	81	2	34	34	NUM
ejpam-3196	81	3	]	]	PUNCT
ejpam-3196	81	4	let	let	VERB
ejpam-3196	81	5	h	h	NOUN
ejpam-3196	81	6	:	:	PUNCT
ejpam-3196	82	1	[	[	X
ejpam-3196	82	2	0	0	NUM
ejpam-3196	82	3	,	,	PUNCT
ejpam-3196	82	4	1	1	NUM
ejpam-3196	82	5	]	]	X
ejpam-3196	82	6	−→	−→	NOUN
ejpam-3196	82	7	r	r	NOUN
ejpam-3196	82	8	be	be	VERB
ejpam-3196	82	9	a	a	DET
ejpam-3196	82	10	non	non	ADJ
ejpam-3196	82	11	-	-	ADJ
ejpam-3196	82	12	negative	negative	ADJ
ejpam-3196	82	13	function	function	NOUN
ejpam-3196	82	14	and	and	CCONJ
ejpam-3196	82	15	h	h	NOUN
ejpam-3196	82	16	6=	6=	PROPN
ejpam-3196	82	17	0	0	X
ejpam-3196	82	18	.	.	PUNCT
ejpam-3196	83	1	the	the	DET
ejpam-3196	83	2	function	function	NOUN
ejpam-3196	83	3	f	f	PROPN
ejpam-3196	83	4	on	on	ADP
ejpam-3196	83	5	the	the	DET
ejpam-3196	83	6	invex	invex	NOUN
ejpam-3196	83	7	set	set	NOUN
ejpam-3196	83	8	k	k	PROPN
ejpam-3196	83	9	is	be	AUX
ejpam-3196	83	10	said	say	VERB
ejpam-3196	83	11	to	to	PART
ejpam-3196	83	12	be	be	AUX
ejpam-3196	83	13	h	h	NOUN
ejpam-3196	83	14	-	-	PUNCT
ejpam-3196	83	15	preinvex	preinvex	NOUN
ejpam-3196	83	16	with	with	ADP
ejpam-3196	83	17	respect	respect	NOUN
ejpam-3196	83	18	to	to	ADP
ejpam-3196	83	19	η	η	PROPN
ejpam-3196	83	20	,	,	PUNCT
ejpam-3196	83	21	if	if	SCONJ
ejpam-3196	83	22	f	f	PROPN
ejpam-3196	83	23	(	(	PUNCT
ejpam-3196	83	24	x+	x+	X
ejpam-3196	83	25	tη(y	tη(y	NOUN
ejpam-3196	83	26	,	,	PUNCT
ejpam-3196	83	27	x	x	X
ejpam-3196	83	28	)	)	PUNCT
ejpam-3196	83	29	)	)	PUNCT
ejpam-3196	84	1	≤	≤	NUM
ejpam-3196	84	2	h(1−	h(1−	PROPN
ejpam-3196	84	3	t)f(x	t)f(x	PROPN
ejpam-3196	84	4	)	)	PUNCT
ejpam-3196	85	1	+	+	CCONJ
ejpam-3196	85	2	h(t)f(y	h(t)f(y	NUM
ejpam-3196	85	3	)	)	PUNCT
ejpam-3196	85	4	(	(	PUNCT
ejpam-3196	85	5	11	11	NUM
ejpam-3196	85	6	)	)	PUNCT
ejpam-3196	85	7	for	for	ADP
ejpam-3196	85	8	each	each	DET
ejpam-3196	85	9	x	x	NOUN
ejpam-3196	85	10	,	,	PUNCT
ejpam-3196	85	11	y	y	PROPN
ejpam-3196	85	12	∈	∈	PROPN
ejpam-3196	85	13	k	k	PROPN
ejpam-3196	85	14	and	and	CCONJ
ejpam-3196	85	15	t	t	PROPN
ejpam-3196	85	16	∈	∈	PROPN
ejpam-3196	86	1	[	[	X
ejpam-3196	86	2	0	0	NUM
ejpam-3196	86	3	,	,	PUNCT
ejpam-3196	86	4	1	1	NUM
ejpam-3196	86	5	]	]	PUNCT
ejpam-3196	86	6	where	where	SCONJ
ejpam-3196	86	7	f	f	X
ejpam-3196	86	8	(	(	PUNCT
ejpam-3196	86	9	·	·	PUNCT
ejpam-3196	86	10	)	)	PUNCT
ejpam-3196	86	11	>	>	X
ejpam-3196	86	12	0	0	X
ejpam-3196	86	13	.	.	PUNCT
ejpam-3196	86	14	m.	m.	NOUN
ejpam-3196	86	15	ramosaçaj	ramosaçaj	PROPN
ejpam-3196	86	16	,	,	PUNCT
ejpam-3196	86	17	a.	a.	NOUN
ejpam-3196	86	18	kashuri	kashuri	PROPN
ejpam-3196	86	19	,	,	PUNCT
ejpam-3196	86	20	r.	r.	PROPN
ejpam-3196	86	21	liko	liko	PROPN
ejpam-3196	86	22	/	/	SYM
ejpam-3196	86	23	eur	eur	PROPN
ejpam-3196	86	24	.	.	PUNCT
ejpam-3196	87	1	j.	j.	PROPN
ejpam-3196	87	2	pure	pure	PROPN
ejpam-3196	87	3	appl	appl	PROPN
ejpam-3196	87	4	.	.	PROPN
ejpam-3196	87	5	math	math	PROPN
ejpam-3196	87	6	,	,	PUNCT
ejpam-3196	87	7	11	11	NUM
ejpam-3196	87	8	(	(	PUNCT
ejpam-3196	87	9	1	1	NUM
ejpam-3196	87	10	)	)	PUNCT
ejpam-3196	87	11	(	(	PUNCT
ejpam-3196	87	12	2018	2018	NUM
ejpam-3196	87	13	)	)	PUNCT
ejpam-3196	87	14	,	,	PUNCT
ejpam-3196	87	15	51	51	NUM
ejpam-3196	87	16	-	-	SYM
ejpam-3196	87	17	68	68	NUM
ejpam-3196	87	18	54	54	NUM
ejpam-3196	87	19	clearly	clearly	ADV
ejpam-3196	87	20	,	,	PUNCT
ejpam-3196	87	21	when	when	SCONJ
ejpam-3196	87	22	putting	put	VERB
ejpam-3196	87	23	h(t	h(t	PRON
ejpam-3196	87	24	)	)	PUNCT
ejpam-3196	88	1	=	=	SYM
ejpam-3196	88	2	t	t	NOUN
ejpam-3196	88	3	in	in	ADP
ejpam-3196	88	4	definition	definition	NOUN
ejpam-3196	88	5	9	9	NUM
ejpam-3196	88	6	,	,	PUNCT
ejpam-3196	88	7	f	f	PROPN
ejpam-3196	88	8	becomes	become	VERB
ejpam-3196	88	9	a	a	DET
ejpam-3196	88	10	preinvex	preinvex	ADJ
ejpam-3196	88	11	function	function	NOUN
ejpam-3196	88	12	[	[	X
ejpam-3196	88	13	38	38	NUM
ejpam-3196	88	14	]	]	PUNCT
ejpam-3196	88	15	.	.	PUNCT
ejpam-3196	89	1	if	if	SCONJ
ejpam-3196	89	2	the	the	DET
ejpam-3196	89	3	mapping	mapping	NOUN
ejpam-3196	89	4	η(y	η(y	NOUN
ejpam-3196	89	5	,	,	PUNCT
ejpam-3196	89	6	x	x	X
ejpam-3196	89	7	)	)	PUNCT
ejpam-3196	89	8	=	=	SYM
ejpam-3196	90	1	y	y	PROPN
ejpam-3196	90	2	−	−	NOUN
ejpam-3196	90	3	x	x	PUNCT
ejpam-3196	90	4	in	in	ADP
ejpam-3196	90	5	definition	definition	NOUN
ejpam-3196	90	6	9	9	NUM
ejpam-3196	90	7	,	,	PUNCT
ejpam-3196	90	8	then	then	ADV
ejpam-3196	90	9	the	the	DET
ejpam-3196	90	10	non	non	ADJ
ejpam-3196	90	11	-	-	ADJ
ejpam-3196	90	12	negative	negative	ADJ
ejpam-3196	90	13	function	function	NOUN
ejpam-3196	90	14	f	f	PROPN
ejpam-3196	90	15	reduces	reduce	VERB
ejpam-3196	90	16	to	to	ADP
ejpam-3196	90	17	h	h	NOUN
ejpam-3196	90	18	-	-	PUNCT
ejpam-3196	90	19	convex	convex	NOUN
ejpam-3196	90	20	mappings	mapping	NOUN
ejpam-3196	90	21	[	[	X
ejpam-3196	90	22	46	46	NUM
ejpam-3196	90	23	]	]	PUNCT
ejpam-3196	90	24	.	.	PUNCT
ejpam-3196	91	1	definition	definition	NOUN
ejpam-3196	91	2	10	10	NUM
ejpam-3196	91	3	.	.	PUNCT
ejpam-3196	92	1	[	[	X
ejpam-3196	92	2	45	45	NUM
ejpam-3196	92	3	]	]	PUNCT
ejpam-3196	92	4	a	a	DET
ejpam-3196	92	5	non	non	ADJ
ejpam-3196	92	6	-	-	ADJ
ejpam-3196	92	7	negative	negative	ADJ
ejpam-3196	92	8	function	function	NOUN
ejpam-3196	92	9	f	f	NOUN
ejpam-3196	92	10	:	:	PUNCT
ejpam-3196	93	1	k	k	NOUN
ejpam-3196	93	2	⊆	⊆	NUM
ejpam-3196	93	3	r	r	NOUN
ejpam-3196	93	4	−→	−→	NOUN
ejpam-3196	93	5	r	r	NOUN
ejpam-3196	93	6	is	be	AUX
ejpam-3196	93	7	said	say	VERB
ejpam-3196	93	8	to	to	PART
ejpam-3196	93	9	be	be	AUX
ejpam-3196	93	10	a	a	DET
ejpam-3196	93	11	tgs	tgs	NOUN
ejpam-3196	93	12	-	-	PUNCT
ejpam-3196	93	13	convex	convex	ADJ
ejpam-3196	93	14	function	function	NOUN
ejpam-3196	93	15	on	on	ADP
ejpam-3196	93	16	k	k	PROPN
ejpam-3196	93	17	if	if	SCONJ
ejpam-3196	93	18	the	the	DET
ejpam-3196	93	19	inequality	inequality	NOUN
ejpam-3196	93	20	f	f	X
ejpam-3196	93	21	(	(	PUNCT
ejpam-3196	93	22	(	(	PUNCT
ejpam-3196	93	23	1−	1−	NUM
ejpam-3196	93	24	t)x+	t)x+	NOUN
ejpam-3196	93	25	ty	ty	NOUN
ejpam-3196	93	26	)	)	PUNCT
ejpam-3196	93	27	≤	≤	PUNCT
ejpam-3196	93	28	t(1−	t(1−	ADJ
ejpam-3196	93	29	t)[f(x	t)[f(x	PRON
ejpam-3196	93	30	)	)	PUNCT
ejpam-3196	93	31	+	+	SYM
ejpam-3196	93	32	f(y	f(y	NOUN
ejpam-3196	93	33	)	)	PUNCT
ejpam-3196	93	34	]	]	PUNCT
ejpam-3196	93	35	(	(	PUNCT
ejpam-3196	93	36	12	12	NUM
ejpam-3196	93	37	)	)	PUNCT
ejpam-3196	93	38	grips	grip	NOUN
ejpam-3196	93	39	for	for	ADP
ejpam-3196	93	40	all	all	DET
ejpam-3196	93	41	x	x	NOUN
ejpam-3196	93	42	,	,	PUNCT
ejpam-3196	93	43	y	y	PROPN
ejpam-3196	93	44	∈	∈	PROPN
ejpam-3196	93	45	k	k	PROPN
ejpam-3196	93	46	and	and	CCONJ
ejpam-3196	93	47	t	t	PROPN
ejpam-3196	93	48	∈	∈	PROPN
ejpam-3196	93	49	(	(	PUNCT
ejpam-3196	93	50	0	0	NUM
ejpam-3196	93	51	,	,	PUNCT
ejpam-3196	93	52	1	1	NUM
ejpam-3196	93	53	)	)	PUNCT
ejpam-3196	93	54	.	.	PUNCT
ejpam-3196	94	1	definition	definition	NOUN
ejpam-3196	94	2	11	11	NUM
ejpam-3196	94	3	.	.	PUNCT
ejpam-3196	95	1	[	[	X
ejpam-3196	95	2	32	32	NUM
ejpam-3196	95	3	]	]	PUNCT
ejpam-3196	95	4	a	a	DET
ejpam-3196	95	5	function	function	NOUN
ejpam-3196	95	6	f	f	NOUN
ejpam-3196	95	7	:	:	PUNCT
ejpam-3196	95	8	i	i	PRON
ejpam-3196	95	9	⊆	⊆	NUM
ejpam-3196	95	10	r	r	NOUN
ejpam-3196	95	11	−→	−→	NOUN
ejpam-3196	95	12	r	r	NOUN
ejpam-3196	95	13	is	be	AUX
ejpam-3196	95	14	said	say	VERB
ejpam-3196	95	15	to	to	ADP
ejpam-3196	95	16	mt	mt	PROPN
ejpam-3196	95	17	-	-	PUNCT
ejpam-3196	95	18	convex	convex	NOUN
ejpam-3196	95	19	functions	function	NOUN
ejpam-3196	95	20	,	,	PUNCT
ejpam-3196	95	21	if	if	SCONJ
ejpam-3196	95	22	it	it	PRON
ejpam-3196	95	23	is	be	AUX
ejpam-3196	95	24	non	non	ADJ
ejpam-3196	95	25	-	-	ADJ
ejpam-3196	95	26	negative	negative	ADJ
ejpam-3196	95	27	and	and	CCONJ
ejpam-3196	95	28	∀	∀	NOUN
ejpam-3196	95	29	x	x	NOUN
ejpam-3196	95	30	,	,	PUNCT
ejpam-3196	95	31	y	y	PROPN
ejpam-3196	95	32	∈	∈	PROPN
ejpam-3196	96	1	i	i	PRON
ejpam-3196	96	2	and	and	CCONJ
ejpam-3196	96	3	t	t	PROPN
ejpam-3196	96	4	∈	∈	PROPN
ejpam-3196	96	5	(	(	PUNCT
ejpam-3196	96	6	0	0	NUM
ejpam-3196	96	7	,	,	PUNCT
ejpam-3196	96	8	1	1	NUM
ejpam-3196	96	9	)	)	PUNCT
ejpam-3196	96	10	satisfies	satisfy	VERB
ejpam-3196	96	11	the	the	DET
ejpam-3196	96	12	subsequent	subsequent	ADJ
ejpam-3196	96	13	inequality	inequality	NOUN
ejpam-3196	96	14	:	:	PUNCT
ejpam-3196	96	15	f(tx+	f(tx+	PROPN
ejpam-3196	96	16	(	(	PUNCT
ejpam-3196	96	17	1−	1−	NUM
ejpam-3196	96	18	t)y	t)y	ADJ
ejpam-3196	96	19	)	)	PUNCT
ejpam-3196	96	20	≤	≤	NUM
ejpam-3196	97	1	√	√	NUM
ejpam-3196	97	2	t	t	PROPN
ejpam-3196	97	3	2	2	NUM
ejpam-3196	97	4	√	√	PROPN
ejpam-3196	97	5	1−	1−	NUM
ejpam-3196	97	6	t	t	PROPN
ejpam-3196	97	7	f(x	f(x	PROPN
ejpam-3196	97	8	)	)	PUNCT
ejpam-3196	98	1	+	+	CCONJ
ejpam-3196	98	2	√	√	NUM
ejpam-3196	98	3	1−	1−	NUM
ejpam-3196	98	4	t	t	PROPN
ejpam-3196	98	5	2	2	NUM
ejpam-3196	98	6	√	√	PROPN
ejpam-3196	98	7	t	t	PROPN
ejpam-3196	98	8	f(y	f(y	PROPN
ejpam-3196	98	9	)	)	PUNCT
ejpam-3196	98	10	.	.	PUNCT
ejpam-3196	99	1	(	(	PUNCT
ejpam-3196	99	2	13	13	NUM
ejpam-3196	99	3	)	)	PUNCT
ejpam-3196	99	4	definition	definition	NOUN
ejpam-3196	99	5	12	12	NUM
ejpam-3196	99	6	.	.	PUNCT
ejpam-3196	100	1	[	[	X
ejpam-3196	100	2	36	36	NUM
ejpam-3196	100	3	]	]	PUNCT
ejpam-3196	100	4	a	a	DET
ejpam-3196	100	5	function	function	NOUN
ejpam-3196	100	6	:	:	PUNCT
ejpam-3196	100	7	i	i	PRON
ejpam-3196	100	8	⊆	⊆	NUM
ejpam-3196	100	9	r	r	NOUN
ejpam-3196	100	10	−→	−→	NOUN
ejpam-3196	100	11	r	r	NOUN
ejpam-3196	100	12	is	be	AUX
ejpam-3196	100	13	said	say	VERB
ejpam-3196	100	14	to	to	PART
ejpam-3196	100	15	be	be	AUX
ejpam-3196	100	16	m	m	PROPN
ejpam-3196	100	17	-	-	PUNCT
ejpam-3196	100	18	mt	mt	NOUN
ejpam-3196	100	19	-	-	PUNCT
ejpam-3196	100	20	convex	convex	NOUN
ejpam-3196	100	21	,	,	PUNCT
ejpam-3196	100	22	if	if	SCONJ
ejpam-3196	100	23	f	f	PROPN
ejpam-3196	100	24	is	be	AUX
ejpam-3196	100	25	positive	positive	ADJ
ejpam-3196	100	26	and	and	CCONJ
ejpam-3196	100	27	for	for	ADP
ejpam-3196	100	28	∀	∀	NOUN
ejpam-3196	100	29	x	x	NOUN
ejpam-3196	100	30	,	,	PUNCT
ejpam-3196	100	31	y∈i	y∈i	NOUN
ejpam-3196	100	32	,	,	PUNCT
ejpam-3196	100	33	and	and	CCONJ
ejpam-3196	100	34	t	t	PROPN
ejpam-3196	100	35	∈	∈	PROPN
ejpam-3196	100	36	(	(	PUNCT
ejpam-3196	100	37	0	0	NUM
ejpam-3196	100	38	,	,	PUNCT
ejpam-3196	100	39	1	1	NUM
ejpam-3196	100	40	)	)	PUNCT
ejpam-3196	100	41	,	,	PUNCT
ejpam-3196	100	42	among	among	ADP
ejpam-3196	100	43	m	m	PROPN
ejpam-3196	100	44	∈	∈	NOUN
ejpam-3196	101	1	[	[	X
ejpam-3196	101	2	0	0	NUM
ejpam-3196	101	3	,	,	PUNCT
ejpam-3196	101	4	1	1	NUM
ejpam-3196	101	5	]	]	PUNCT
ejpam-3196	101	6	,	,	PUNCT
ejpam-3196	101	7	satisfies	satisfy	VERB
ejpam-3196	101	8	the	the	DET
ejpam-3196	101	9	following	follow	VERB
ejpam-3196	101	10	inequality	inequality	NOUN
ejpam-3196	101	11	f	f	PROPN
ejpam-3196	101	12	(	(	PUNCT
ejpam-3196	101	13	tx+m(1−	tx+m(1−	PROPN
ejpam-3196	101	14	t)y	t)y	NUM
ejpam-3196	101	15	)	)	PUNCT
ejpam-3196	102	1	≤	≤	NUM
ejpam-3196	103	1	√	√	NUM
ejpam-3196	103	2	t	t	PROPN
ejpam-3196	103	3	2	2	NUM
ejpam-3196	103	4	√	√	PROPN
ejpam-3196	103	5	1−	1−	NUM
ejpam-3196	103	6	t	t	PROPN
ejpam-3196	103	7	f(x	f(x	PROPN
ejpam-3196	103	8	)	)	PUNCT
ejpam-3196	104	1	+	+	NUM
ejpam-3196	104	2	m	m	VERB
ejpam-3196	104	3	√	√	ADJ
ejpam-3196	104	4	1−	1−	NUM
ejpam-3196	104	5	t	t	PROPN
ejpam-3196	104	6	2	2	NUM
ejpam-3196	104	7	√	√	PROPN
ejpam-3196	104	8	t	t	PROPN
ejpam-3196	104	9	f(y	f(y	PROPN
ejpam-3196	104	10	)	)	PUNCT
ejpam-3196	104	11	.	.	PUNCT
ejpam-3196	105	1	(	(	PUNCT
ejpam-3196	105	2	14	14	NUM
ejpam-3196	105	3	)	)	PUNCT
ejpam-3196	105	4	definition	definition	NOUN
ejpam-3196	105	5	13	13	NUM
ejpam-3196	105	6	.	.	PUNCT
ejpam-3196	106	1	[	[	X
ejpam-3196	106	2	37	37	NUM
ejpam-3196	106	3	]	]	PUNCT
ejpam-3196	106	4	let	let	VERB
ejpam-3196	106	5	k	k	PROPN
ejpam-3196	106	6	⊆	⊆	NUM
ejpam-3196	106	7	r	r	NOUN
ejpam-3196	106	8	be	be	AUX
ejpam-3196	106	9	an	an	DET
ejpam-3196	106	10	open	open	ADJ
ejpam-3196	106	11	m	m	NOUN
ejpam-3196	106	12	-	-	PUNCT
ejpam-3196	106	13	invex	invex	NOUN
ejpam-3196	106	14	set	set	VERB
ejpam-3196	106	15	respecting	respect	VERB
ejpam-3196	106	16	η	η	PROPN
ejpam-3196	106	17	:	:	PUNCT
ejpam-3196	106	18	k×k×(0	k×k×(0	PROPN
ejpam-3196	106	19	,	,	PUNCT
ejpam-3196	106	20	1	1	NUM
ejpam-3196	106	21	]	]	X
ejpam-3196	106	22	−→	−→	PROPN
ejpam-3196	106	23	r.	r.	PROPN
ejpam-3196	106	24	a	a	DET
ejpam-3196	106	25	function	function	NOUN
ejpam-3196	106	26	f	f	NOUN
ejpam-3196	106	27	:	:	PUNCT
ejpam-3196	106	28	k	k	X
ejpam-3196	106	29	−→	−→	NOUN
ejpam-3196	106	30	r	r	NOUN
ejpam-3196	106	31	and	and	CCONJ
ejpam-3196	106	32	h1	h1	PROPN
ejpam-3196	106	33	,	,	PUNCT
ejpam-3196	106	34	h2	h2	NOUN
ejpam-3196	106	35	:	:	PUNCT
ejpam-3196	107	1	[	[	X
ejpam-3196	107	2	0	0	NUM
ejpam-3196	107	3	,	,	PUNCT
ejpam-3196	107	4	1	1	NUM
ejpam-3196	107	5	]	]	X
ejpam-3196	107	6	−→	−→	NOUN
ejpam-3196	107	7	[	[	X
ejpam-3196	107	8	0,+∞	0,+∞	NUM
ejpam-3196	107	9	)	)	PUNCT
ejpam-3196	107	10	,	,	PUNCT
ejpam-3196	107	11	if	if	SCONJ
ejpam-3196	107	12	f	f	PROPN
ejpam-3196	107	13	(	(	PUNCT
ejpam-3196	107	14	mx+	mx+	NOUN
ejpam-3196	107	15	tη(y	tη(y	NOUN
ejpam-3196	107	16	,	,	PUNCT
ejpam-3196	107	17	x	x	X
ejpam-3196	107	18	,	,	PUNCT
ejpam-3196	107	19	m	m	NOUN
ejpam-3196	107	20	)	)	PUNCT
ejpam-3196	107	21	)	)	PUNCT
ejpam-3196	108	1	≤	≤	PROPN
ejpam-3196	108	2	mh1(t)f(x	mh1(t)f(x	X
ejpam-3196	108	3	)	)	PUNCT
ejpam-3196	109	1	+	+	CCONJ
ejpam-3196	109	2	h2(t)f(y	h2(t)f(y	NOUN
ejpam-3196	109	3	)	)	PUNCT
ejpam-3196	109	4	(	(	PUNCT
ejpam-3196	109	5	15	15	NUM
ejpam-3196	109	6	)	)	PUNCT
ejpam-3196	109	7	is	be	AUX
ejpam-3196	109	8	valid	valid	ADJ
ejpam-3196	109	9	for	for	ADP
ejpam-3196	109	10	all	all	DET
ejpam-3196	109	11	x	x	NOUN
ejpam-3196	109	12	,	,	PUNCT
ejpam-3196	109	13	y	y	PROPN
ejpam-3196	109	14	∈	∈	PROPN
ejpam-3196	109	15	k	k	PROPN
ejpam-3196	109	16	and	and	CCONJ
ejpam-3196	109	17	t	t	PROPN
ejpam-3196	109	18	∈	∈	PROPN
ejpam-3196	110	1	[	[	X
ejpam-3196	110	2	0	0	NUM
ejpam-3196	110	3	,	,	PUNCT
ejpam-3196	110	4	1	1	NUM
ejpam-3196	110	5	]	]	PUNCT
ejpam-3196	110	6	,	,	PUNCT
ejpam-3196	110	7	together	together	ADV
ejpam-3196	110	8	m	m	VERB
ejpam-3196	110	9	∈	∈	NOUN
ejpam-3196	110	10	(	(	PUNCT
ejpam-3196	110	11	0	0	NUM
ejpam-3196	110	12	,	,	PUNCT
ejpam-3196	110	13	1	1	NUM
ejpam-3196	110	14	]	]	PUNCT
ejpam-3196	110	15	,	,	PUNCT
ejpam-3196	110	16	is	be	AUX
ejpam-3196	110	17	said	say	VERB
ejpam-3196	110	18	to	to	PART
ejpam-3196	110	19	be	be	AUX
ejpam-3196	110	20	generalized	generalize	VERB
ejpam-3196	110	21	(	(	PUNCT
ejpam-3196	110	22	m	m	PROPN
ejpam-3196	110	23	,	,	PUNCT
ejpam-3196	110	24	h1	h1	NOUN
ejpam-3196	110	25	,	,	PUNCT
ejpam-3196	110	26	h2)-preinvex	h2)-preinvex	NOUN
ejpam-3196	110	27	functions	function	NOUN
ejpam-3196	110	28	with	with	ADP
ejpam-3196	110	29	respect	respect	NOUN
ejpam-3196	110	30	to	to	ADP
ejpam-3196	110	31	η	η	PROPN
ejpam-3196	110	32	.	.	PROPN
ejpam-3196	110	33	motivated	motivate	VERB
ejpam-3196	110	34	by	by	ADP
ejpam-3196	110	35	the	the	DET
ejpam-3196	110	36	above	above	ADJ
ejpam-3196	110	37	literatures	literature	NOUN
ejpam-3196	110	38	,	,	PUNCT
ejpam-3196	110	39	the	the	DET
ejpam-3196	110	40	main	main	ADJ
ejpam-3196	110	41	objective	objective	NOUN
ejpam-3196	110	42	of	of	ADP
ejpam-3196	110	43	this	this	DET
ejpam-3196	110	44	article	article	NOUN
ejpam-3196	110	45	is	be	AUX
ejpam-3196	110	46	to	to	PART
ejpam-3196	110	47	establish	establish	VERB
ejpam-3196	110	48	some	some	DET
ejpam-3196	110	49	new	new	ADJ
ejpam-3196	110	50	estimates	estimate	NOUN
ejpam-3196	110	51	on	on	ADP
ejpam-3196	110	52	hermite	hermite	PROPN
ejpam-3196	110	53	-	-	PUNCT
ejpam-3196	110	54	hadamard	hadamard	ADJ
ejpam-3196	110	55	-	-	PUNCT
ejpam-3196	110	56	fejér	fejér	NOUN
ejpam-3196	110	57	type	type	NOUN
ejpam-3196	110	58	inequalities	inequality	NOUN
ejpam-3196	110	59	via	via	ADP
ejpam-3196	110	60	k	k	ADJ
ejpam-3196	110	61	-	-	PUNCT
ejpam-3196	110	62	fractional	fractional	ADJ
ejpam-3196	110	63	integrals	integral	NOUN
ejpam-3196	110	64	associated	associate	VERB
ejpam-3196	110	65	with	with	ADP
ejpam-3196	110	66	generalized	generalized	ADJ
ejpam-3196	110	67	relative	relative	ADJ
ejpam-3196	110	68	semi-(r;m	semi-(r;m	PROPN
ejpam-3196	110	69	,	,	PUNCT
ejpam-3196	110	70	h1	h1	NOUN
ejpam-3196	110	71	,	,	PUNCT
ejpam-3196	110	72	h2)-preinvex	h2)-preinvex	NOUN
ejpam-3196	110	73	mappings	mapping	NOUN
ejpam-3196	110	74	.	.	PUNCT
ejpam-3196	111	1	it	it	PRON
ejpam-3196	111	2	is	be	AUX
ejpam-3196	111	3	pointed	point	VERB
ejpam-3196	111	4	out	out	ADP
ejpam-3196	111	5	that	that	SCONJ
ejpam-3196	111	6	some	some	DET
ejpam-3196	111	7	new	new	ADJ
ejpam-3196	111	8	special	special	ADJ
ejpam-3196	111	9	cases	case	NOUN
ejpam-3196	111	10	will	will	AUX
ejpam-3196	111	11	be	be	AUX
ejpam-3196	111	12	deduced	deduce	VERB
ejpam-3196	111	13	from	from	ADP
ejpam-3196	111	14	main	main	ADJ
ejpam-3196	111	15	results	result	NOUN
ejpam-3196	111	16	of	of	ADP
ejpam-3196	111	17	the	the	DET
ejpam-3196	111	18	article	article	NOUN
ejpam-3196	111	19	.	.	PUNCT
ejpam-3196	112	1	our	our	PRON
ejpam-3196	112	2	results	result	NOUN
ejpam-3196	112	3	also	also	ADV
ejpam-3196	112	4	generalize	generalize	VERB
ejpam-3196	112	5	theorem	theorem	VERB
ejpam-3196	112	6	2.2	2.2	NUM
ejpam-3196	112	7	and	and	CCONJ
ejpam-3196	112	8	theorem	theorem	VERB
ejpam-3196	112	9	2.5	2.5	NUM
ejpam-3196	112	10	shown	show	VERB
ejpam-3196	112	11	in	in	ADP
ejpam-3196	112	12	[	[	X
ejpam-3196	112	13	10	10	NUM
ejpam-3196	112	14	]	]	PUNCT
ejpam-3196	112	15	.	.	PUNCT
ejpam-3196	113	1	2	2	X
ejpam-3196	113	2	.	.	X
ejpam-3196	113	3	main	main	ADJ
ejpam-3196	113	4	results	result	NOUN
ejpam-3196	113	5	the	the	DET
ejpam-3196	113	6	following	follow	VERB
ejpam-3196	113	7	definitions	definition	NOUN
ejpam-3196	113	8	will	will	AUX
ejpam-3196	113	9	be	be	AUX
ejpam-3196	113	10	used	use	VERB
ejpam-3196	113	11	in	in	ADP
ejpam-3196	113	12	this	this	DET
ejpam-3196	113	13	section	section	NOUN
ejpam-3196	113	14	.	.	PUNCT
ejpam-3196	114	1	definition	definition	NOUN
ejpam-3196	114	2	14	14	NUM
ejpam-3196	114	3	.	.	PUNCT
ejpam-3196	115	1	[	[	X
ejpam-3196	115	2	9	9	NUM
ejpam-3196	115	3	]	]	PUNCT
ejpam-3196	115	4	a	a	DET
ejpam-3196	115	5	set	set	NOUN
ejpam-3196	115	6	k	k	PROPN
ejpam-3196	115	7	⊆	⊆	NUM
ejpam-3196	115	8	rn	rn	PROPN
ejpam-3196	115	9	is	be	AUX
ejpam-3196	115	10	named	name	VERB
ejpam-3196	115	11	as	as	ADP
ejpam-3196	115	12	m	m	NOUN
ejpam-3196	115	13	-	-	NOUN
ejpam-3196	115	14	invex	invex	ADJ
ejpam-3196	115	15	with	with	ADP
ejpam-3196	115	16	respect	respect	NOUN
ejpam-3196	115	17	to	to	ADP
ejpam-3196	115	18	the	the	DET
ejpam-3196	115	19	mapping	mapping	NOUN
ejpam-3196	115	20	η	η	NOUN
ejpam-3196	115	21	:	:	PUNCT
ejpam-3196	115	22	k	k	PROPN
ejpam-3196	115	23	×k	×k	PROPN
ejpam-3196	115	24	×	×	NOUN
ejpam-3196	115	25	(	(	PUNCT
ejpam-3196	115	26	0	0	NUM
ejpam-3196	115	27	,	,	PUNCT
ejpam-3196	115	28	1	1	NUM
ejpam-3196	115	29	]	]	X
ejpam-3196	115	30	−→	−→	PROPN
ejpam-3196	115	31	rn	rn	NOUN
ejpam-3196	115	32	for	for	ADP
ejpam-3196	115	33	some	some	DET
ejpam-3196	115	34	fixed	fix	VERB
ejpam-3196	115	35	m	m	VERB
ejpam-3196	115	36	∈	∈	NOUN
ejpam-3196	115	37	(	(	PUNCT
ejpam-3196	115	38	0	0	NUM
ejpam-3196	115	39	,	,	PUNCT
ejpam-3196	115	40	1	1	NUM
ejpam-3196	115	41	]	]	PUNCT
ejpam-3196	115	42	,	,	PUNCT
ejpam-3196	115	43	if	if	SCONJ
ejpam-3196	115	44	mx+	mx+	NOUN
ejpam-3196	115	45	tη(y	tη(y	NOUN
ejpam-3196	115	46	,	,	PUNCT
ejpam-3196	115	47	mx	mx	NOUN
ejpam-3196	115	48	)	)	PUNCT
ejpam-3196	115	49	∈	∈	PROPN
ejpam-3196	115	50	k	k	PROPN
ejpam-3196	115	51	grips	grip	NOUN
ejpam-3196	115	52	for	for	ADP
ejpam-3196	115	53	each	each	DET
ejpam-3196	115	54	x	x	NOUN
ejpam-3196	115	55	,	,	PUNCT
ejpam-3196	115	56	y	y	PROPN
ejpam-3196	115	57	∈	∈	PROPN
ejpam-3196	115	58	k	k	PROPN
ejpam-3196	115	59	and	and	CCONJ
ejpam-3196	115	60	any	any	DET
ejpam-3196	115	61	t	t	NOUN
ejpam-3196	115	62	∈	∈	PROPN
ejpam-3196	116	1	[	[	X
ejpam-3196	116	2	0	0	NUM
ejpam-3196	116	3	,	,	PUNCT
ejpam-3196	116	4	1	1	NUM
ejpam-3196	116	5	]	]	PUNCT
ejpam-3196	116	6	.	.	PUNCT
ejpam-3196	117	1	remark	remark	PROPN
ejpam-3196	117	2	1	1	NUM
ejpam-3196	117	3	.	.	PUNCT
ejpam-3196	118	1	in	in	ADP
ejpam-3196	118	2	definition	definition	NOUN
ejpam-3196	118	3	14	14	NUM
ejpam-3196	118	4	,	,	PUNCT
ejpam-3196	118	5	under	under	ADP
ejpam-3196	118	6	certain	certain	ADJ
ejpam-3196	118	7	conditions	condition	NOUN
ejpam-3196	118	8	,	,	PUNCT
ejpam-3196	118	9	the	the	DET
ejpam-3196	118	10	mapping	mapping	NOUN
ejpam-3196	118	11	η(y	η(y	NOUN
ejpam-3196	118	12	,	,	PUNCT
ejpam-3196	118	13	mx	mx	NOUN
ejpam-3196	118	14	)	)	PUNCT
ejpam-3196	118	15	could	could	AUX
ejpam-3196	118	16	reduce	reduce	VERB
ejpam-3196	118	17	to	to	ADP
ejpam-3196	118	18	η(y	η(y	NOUN
ejpam-3196	118	19	,	,	PUNCT
ejpam-3196	118	20	x	x	NOUN
ejpam-3196	118	21	)	)	PUNCT
ejpam-3196	118	22	.	.	PUNCT
ejpam-3196	119	1	for	for	ADP
ejpam-3196	119	2	example	example	NOUN
ejpam-3196	119	3	when	when	SCONJ
ejpam-3196	119	4	m	m	VERB
ejpam-3196	119	5	=	=	SYM
ejpam-3196	119	6	1	1	NUM
ejpam-3196	119	7	,	,	PUNCT
ejpam-3196	119	8	then	then	ADV
ejpam-3196	119	9	the	the	DET
ejpam-3196	119	10	m	m	NOUN
ejpam-3196	119	11	-	-	PUNCT
ejpam-3196	119	12	invex	invex	NOUN
ejpam-3196	119	13	set	set	VERB
ejpam-3196	119	14	degenerates	degenerate	NOUN
ejpam-3196	119	15	an	an	DET
ejpam-3196	119	16	invex	invex	NOUN
ejpam-3196	119	17	set	set	VERB
ejpam-3196	119	18	on	on	ADP
ejpam-3196	119	19	k.	k.	PROPN
ejpam-3196	119	20	m.	m.	PROPN
ejpam-3196	119	21	ramosaçaj	ramosaçaj	PROPN
ejpam-3196	119	22	,	,	PUNCT
ejpam-3196	119	23	a.	a.	NOUN
ejpam-3196	119	24	kashuri	kashuri	PROPN
ejpam-3196	119	25	,	,	PUNCT
ejpam-3196	119	26	r.	r.	PROPN
ejpam-3196	119	27	liko	liko	PROPN
ejpam-3196	119	28	/	/	SYM
ejpam-3196	119	29	eur	eur	PROPN
ejpam-3196	119	30	.	.	PUNCT
ejpam-3196	120	1	j.	j.	PROPN
ejpam-3196	120	2	pure	pure	PROPN
ejpam-3196	120	3	appl	appl	PROPN
ejpam-3196	120	4	.	.	PROPN
ejpam-3196	120	5	math	math	PROPN
ejpam-3196	120	6	,	,	PUNCT
ejpam-3196	120	7	11	11	NUM
ejpam-3196	120	8	(	(	PUNCT
ejpam-3196	120	9	1	1	NUM
ejpam-3196	120	10	)	)	PUNCT
ejpam-3196	120	11	(	(	PUNCT
ejpam-3196	120	12	2018	2018	NUM
ejpam-3196	120	13	)	)	PUNCT
ejpam-3196	120	14	,	,	PUNCT
ejpam-3196	120	15	51	51	NUM
ejpam-3196	120	16	-	-	SYM
ejpam-3196	120	17	68	68	NUM
ejpam-3196	120	18	55	55	NUM
ejpam-3196	120	19	we	we	PRON
ejpam-3196	120	20	next	next	ADV
ejpam-3196	120	21	introduce	introduce	VERB
ejpam-3196	120	22	a	a	DET
ejpam-3196	120	23	new	new	ADJ
ejpam-3196	120	24	class	class	NOUN
ejpam-3196	120	25	called	call	VERB
ejpam-3196	120	26	generalized	generalized	ADJ
ejpam-3196	120	27	relative	relative	ADJ
ejpam-3196	120	28	semi-(r;m	semi-(r;m	PROPN
ejpam-3196	120	29	,	,	PUNCT
ejpam-3196	120	30	h1	h1	NOUN
ejpam-3196	120	31	,	,	PUNCT
ejpam-3196	120	32	h2)-preinvex	h2)-preinvex	NOUN
ejpam-3196	120	33	mappings	mapping	NOUN
ejpam-3196	120	34	.	.	PUNCT
ejpam-3196	121	1	definition	definition	NOUN
ejpam-3196	121	2	15	15	NUM
ejpam-3196	121	3	.	.	PUNCT
ejpam-3196	122	1	let	let	VERB
ejpam-3196	122	2	k	k	PROPN
ejpam-3196	122	3	⊆	⊆	NUM
ejpam-3196	122	4	r	r	NOUN
ejpam-3196	122	5	be	be	VERB
ejpam-3196	122	6	an	an	DET
ejpam-3196	122	7	open	open	ADJ
ejpam-3196	122	8	nonempty	nonempty	ADJ
ejpam-3196	122	9	m	m	NOUN
ejpam-3196	122	10	-	-	PUNCT
ejpam-3196	122	11	invex	invex	NOUN
ejpam-3196	122	12	set	set	VERB
ejpam-3196	122	13	with	with	ADP
ejpam-3196	122	14	respect	respect	NOUN
ejpam-3196	122	15	to	to	ADP
ejpam-3196	122	16	the	the	DET
ejpam-3196	122	17	mapping	mapping	NOUN
ejpam-3196	122	18	η	η	PROPN
ejpam-3196	122	19	:	:	PUNCT
ejpam-3196	122	20	k×k×(0	k×k×(0	PROPN
ejpam-3196	122	21	,	,	PUNCT
ejpam-3196	122	22	1	1	NUM
ejpam-3196	122	23	]	]	PUNCT
ejpam-3196	122	24	−→	−→	PROPN
ejpam-3196	122	25	r.	r.	PROPN
ejpam-3196	122	26	suppose	suppose	VERB
ejpam-3196	122	27	h1	h1	PROPN
ejpam-3196	122	28	,	,	PUNCT
ejpam-3196	122	29	h2	h2	NOUN
ejpam-3196	122	30	:	:	PUNCT
ejpam-3196	123	1	[	[	X
ejpam-3196	123	2	0	0	NUM
ejpam-3196	123	3	,	,	PUNCT
ejpam-3196	123	4	1	1	NUM
ejpam-3196	123	5	]	]	X
ejpam-3196	123	6	−→	−→	NOUN
ejpam-3196	123	7	[	[	X
ejpam-3196	123	8	0,+∞	0,+∞	NUM
ejpam-3196	123	9	)	)	PUNCT
ejpam-3196	123	10	and	and	CCONJ
ejpam-3196	123	11	ϕ	ϕ	X
ejpam-3196	123	12	:	:	PUNCT
ejpam-3196	124	1	i	i	PROPN
ejpam-3196	124	2	−→	−→	VERB
ejpam-3196	124	3	k	k	PROPN
ejpam-3196	124	4	are	be	AUX
ejpam-3196	124	5	continuous	continuous	ADJ
ejpam-3196	124	6	.	.	PUNCT
ejpam-3196	125	1	a	a	DET
ejpam-3196	125	2	function	function	NOUN
ejpam-3196	125	3	f	f	NOUN
ejpam-3196	125	4	:	:	PUNCT
ejpam-3196	125	5	k	k	X
ejpam-3196	125	6	−→	−→	NOUN
ejpam-3196	125	7	(	(	PUNCT
ejpam-3196	125	8	0,+∞	0,+∞	NUM
ejpam-3196	125	9	)	)	PUNCT
ejpam-3196	125	10	is	be	AUX
ejpam-3196	125	11	said	say	VERB
ejpam-3196	125	12	to	to	PART
ejpam-3196	125	13	be	be	AUX
ejpam-3196	125	14	generalized	generalize	VERB
ejpam-3196	125	15	relative	relative	ADJ
ejpam-3196	125	16	semi-(r;m	semi-(r;m	PROPN
ejpam-3196	125	17	,	,	PUNCT
ejpam-3196	125	18	h1	h1	NOUN
ejpam-3196	125	19	,	,	PUNCT
ejpam-3196	125	20	h2)-preinvex	h2)-preinvex	PROPN
ejpam-3196	125	21	,	,	PUNCT
ejpam-3196	125	22	if	if	SCONJ
ejpam-3196	125	23	f	f	PROPN
ejpam-3196	125	24	(	(	PUNCT
ejpam-3196	125	25	mϕ(x	mϕ(x	X
ejpam-3196	125	26	)	)	PUNCT
ejpam-3196	125	27	+	+	CCONJ
ejpam-3196	126	1	tη(ϕ(y	tη(ϕ(y	X
ejpam-3196	126	2	)	)	PUNCT
ejpam-3196	126	3	,	,	PUNCT
ejpam-3196	126	4	ϕ(x),m	ϕ(x),m	ADJ
ejpam-3196	126	5	)	)	PUNCT
ejpam-3196	126	6	)	)	PUNCT
ejpam-3196	126	7	≤mr(h1(t	≤mr(h1(t	PROPN
ejpam-3196	126	8	)	)	PUNCT
ejpam-3196	126	9	,	,	PUNCT
ejpam-3196	126	10	h2(t	h2(t	PROPN
ejpam-3196	126	11	)	)	PUNCT
ejpam-3196	126	12	;	;	PUNCT
ejpam-3196	126	13	f(x	f(x	PROPN
ejpam-3196	126	14	)	)	PUNCT
ejpam-3196	126	15	,	,	PUNCT
ejpam-3196	126	16	f(y),m	f(y),m	NOUN
ejpam-3196	126	17	)	)	PUNCT
ejpam-3196	126	18	(	(	PUNCT
ejpam-3196	126	19	16	16	NUM
ejpam-3196	126	20	)	)	PUNCT
ejpam-3196	126	21	holds	hold	VERB
ejpam-3196	126	22	for	for	ADP
ejpam-3196	126	23	all	all	DET
ejpam-3196	126	24	x	x	NOUN
ejpam-3196	126	25	,	,	PUNCT
ejpam-3196	126	26	y	y	PROPN
ejpam-3196	126	27	∈	∈	PROPN
ejpam-3196	126	28	i	i	PRON
ejpam-3196	126	29	and	and	CCONJ
ejpam-3196	126	30	t	t	PROPN
ejpam-3196	126	31	∈	∈	PROPN
ejpam-3196	127	1	[	[	X
ejpam-3196	127	2	0	0	NUM
ejpam-3196	127	3	,	,	PUNCT
ejpam-3196	127	4	1	1	NUM
ejpam-3196	127	5	]	]	PUNCT
ejpam-3196	127	6	,	,	PUNCT
ejpam-3196	127	7	with	with	ADP
ejpam-3196	127	8	some	some	DET
ejpam-3196	127	9	fixed	fix	VERB
ejpam-3196	127	10	m	m	VERB
ejpam-3196	127	11	∈	∈	NOUN
ejpam-3196	127	12	(	(	PUNCT
ejpam-3196	127	13	0	0	NUM
ejpam-3196	127	14	,	,	PUNCT
ejpam-3196	127	15	1	1	NUM
ejpam-3196	127	16	]	]	PUNCT
ejpam-3196	127	17	,	,	PUNCT
ejpam-3196	127	18	where	where	SCONJ
ejpam-3196	127	19	mr(h1(t	mr(h1(t	PROPN
ejpam-3196	127	20	)	)	PUNCT
ejpam-3196	127	21	,	,	PUNCT
ejpam-3196	127	22	h2(t	h2(t	PROPN
ejpam-3196	127	23	)	)	PUNCT
ejpam-3196	127	24	;	;	PUNCT
ejpam-3196	127	25	f(x	f(x	PROPN
ejpam-3196	127	26	)	)	PUNCT
ejpam-3196	127	27	,	,	PUNCT
ejpam-3196	127	28	f(y),m	f(y),m	NOUN
ejpam-3196	127	29	)	)	PUNCT
ejpam-3196	127	30	:	:	PUNCT
ejpam-3196	127	31	=	=	PUNCT
ejpam-3196	127	32			PUNCT
ejpam-3196	127	33	[	[	PUNCT
ejpam-3196	127	34	mh1(t)f	mh1(t)f	PROPN
ejpam-3196	127	35	r(x	r(x	PROPN
ejpam-3196	127	36	)	)	PUNCT
ejpam-3196	127	37	+	+	CCONJ
ejpam-3196	127	38	h2(t)f	h2(t)f	PROPN
ejpam-3196	127	39	r(y	r(y	ADJ
ejpam-3196	127	40	)	)	PUNCT
ejpam-3196	127	41	]	]	PUNCT
ejpam-3196	127	42	1	1	NUM
ejpam-3196	127	43	r	r	NOUN
ejpam-3196	127	44	,	,	PUNCT
ejpam-3196	127	45	if	if	SCONJ
ejpam-3196	127	46	r	r	NOUN
ejpam-3196	127	47	6=	6=	ADP
ejpam-3196	127	48	0	0	NUM
ejpam-3196	127	49	;	;	PUNCT
ejpam-3196	127	50	[	[	PUNCT
ejpam-3196	127	51	f(x	f(x	PROPN
ejpam-3196	127	52	)	)	PUNCT
ejpam-3196	127	53	]	]	PUNCT
ejpam-3196	127	54	mh1(t)[f(y	mh1(t)[f(y	X
ejpam-3196	127	55	)	)	PUNCT
ejpam-3196	127	56	]	]	PUNCT
ejpam-3196	127	57	h2(t	h2(t	X
ejpam-3196	127	58	)	)	PUNCT
ejpam-3196	127	59	,	,	PUNCT
ejpam-3196	127	60	if	if	SCONJ
ejpam-3196	127	61	r	r	NOUN
ejpam-3196	127	62	=	=	SYM
ejpam-3196	127	63	0	0	NUM
ejpam-3196	127	64	,	,	PUNCT
ejpam-3196	127	65	is	be	AUX
ejpam-3196	127	66	the	the	DET
ejpam-3196	127	67	weighted	weight	VERB
ejpam-3196	127	68	power	power	NOUN
ejpam-3196	127	69	mean	mean	NOUN
ejpam-3196	127	70	of	of	ADP
ejpam-3196	127	71	order	order	NOUN
ejpam-3196	127	72	r	r	NOUN
ejpam-3196	127	73	for	for	ADP
ejpam-3196	127	74	positive	positive	ADJ
ejpam-3196	127	75	numbers	number	NOUN
ejpam-3196	127	76	f(x	f(x	PROPN
ejpam-3196	127	77	)	)	PUNCT
ejpam-3196	127	78	and	and	CCONJ
ejpam-3196	127	79	f(y	f(y	NOUN
ejpam-3196	127	80	)	)	PUNCT
ejpam-3196	127	81	.	.	PUNCT
ejpam-3196	128	1	remark	remark	NOUN
ejpam-3196	128	2	2	2	NUM
ejpam-3196	128	3	.	.	PUNCT
ejpam-3196	129	1	in	in	ADP
ejpam-3196	129	2	definition	definition	NOUN
ejpam-3196	129	3	15	15	NUM
ejpam-3196	129	4	,	,	PUNCT
ejpam-3196	129	5	if	if	SCONJ
ejpam-3196	129	6	we	we	PRON
ejpam-3196	129	7	choose	choose	VERB
ejpam-3196	129	8	r	r	NOUN
ejpam-3196	129	9	=	=	SYM
ejpam-3196	129	10	1	1	NUM
ejpam-3196	129	11	and	and	CCONJ
ejpam-3196	129	12	ϕ(x	ϕ(x	NOUN
ejpam-3196	129	13	)	)	PUNCT
ejpam-3196	129	14	=	=	SYM
ejpam-3196	130	1	x	x	X
ejpam-3196	130	2	,	,	PUNCT
ejpam-3196	130	3	then	then	ADV
ejpam-3196	130	4	we	we	PRON
ejpam-3196	130	5	get	get	VERB
ejpam-3196	130	6	definition	definition	NOUN
ejpam-3196	130	7	13	13	NUM
ejpam-3196	130	8	.	.	PUNCT
ejpam-3196	131	1	remark	remark	PROPN
ejpam-3196	131	2	3	3	NUM
ejpam-3196	131	3	.	.	PUNCT
ejpam-3196	132	1	for	for	ADP
ejpam-3196	132	2	r	r	NOUN
ejpam-3196	132	3	=	=	SYM
ejpam-3196	132	4	1	1	NUM
ejpam-3196	132	5	,	,	PUNCT
ejpam-3196	132	6	let	let	VERB
ejpam-3196	132	7	us	we	PRON
ejpam-3196	132	8	discuss	discuss	VERB
ejpam-3196	132	9	some	some	DET
ejpam-3196	132	10	special	special	ADJ
ejpam-3196	132	11	cases	case	NOUN
ejpam-3196	132	12	in	in	ADP
ejpam-3196	132	13	definition	definition	NOUN
ejpam-3196	132	14	15	15	NUM
ejpam-3196	132	15	as	as	SCONJ
ejpam-3196	132	16	follows	follow	VERB
ejpam-3196	132	17	.	.	PUNCT
ejpam-3196	133	1	(	(	PUNCT
ejpam-3196	133	2	i	i	NOUN
ejpam-3196	133	3	)	)	PUNCT
ejpam-3196	133	4	if	if	SCONJ
ejpam-3196	133	5	taking	take	VERB
ejpam-3196	133	6	h1(t	h1(t	ADP
ejpam-3196	133	7	)	)	PUNCT
ejpam-3196	133	8	=	=	SYM
ejpam-3196	133	9	(	(	PUNCT
ejpam-3196	133	10	1	1	NUM
ejpam-3196	133	11	−	−	NOUN
ejpam-3196	133	12	t)s	t)s	NUM
ejpam-3196	133	13	,	,	PUNCT
ejpam-3196	133	14	h2(t	h2(t	X
ejpam-3196	133	15	)	)	PUNCT
ejpam-3196	133	16	=	=	VERB
ejpam-3196	133	17	ts	ts	ADP
ejpam-3196	133	18	for	for	ADP
ejpam-3196	133	19	s	s	PROPN
ejpam-3196	133	20	∈	∈	PROPN
ejpam-3196	133	21	(	(	PUNCT
ejpam-3196	133	22	0	0	NUM
ejpam-3196	133	23	,	,	PUNCT
ejpam-3196	133	24	1	1	NUM
ejpam-3196	133	25	]	]	PUNCT
ejpam-3196	133	26	,	,	PUNCT
ejpam-3196	133	27	then	then	ADV
ejpam-3196	133	28	we	we	PRON
ejpam-3196	133	29	get	get	VERB
ejpam-3196	133	30	generalized	generalized	ADJ
ejpam-3196	133	31	relative	relative	ADJ
ejpam-3196	133	32	semi-(m	semi-(m	PROPN
ejpam-3196	133	33	,	,	PUNCT
ejpam-3196	133	34	s)−	s)−	PROPN
ejpam-3196	133	35	breckner	breckner	NOUN
ejpam-3196	133	36	-	-	PUNCT
ejpam-3196	133	37	preinvex	preinvex	NOUN
ejpam-3196	133	38	mappings	mapping	NOUN
ejpam-3196	133	39	.	.	PUNCT
ejpam-3196	134	1	(	(	PUNCT
ejpam-3196	134	2	ii	ii	NOUN
ejpam-3196	134	3	)	)	PUNCT
ejpam-3196	134	4	if	if	SCONJ
ejpam-3196	134	5	taking	take	VERB
ejpam-3196	134	6	h1(t	h1(t	ADP
ejpam-3196	134	7	)	)	PUNCT
ejpam-3196	134	8	=	=	SYM
ejpam-3196	135	1	h2(t	h2(t	X
ejpam-3196	135	2	)	)	PUNCT
ejpam-3196	135	3	=	=	SYM
ejpam-3196	136	1	1	1	NUM
ejpam-3196	136	2	,	,	PUNCT
ejpam-3196	136	3	then	then	ADV
ejpam-3196	136	4	we	we	PRON
ejpam-3196	136	5	get	get	VERB
ejpam-3196	136	6	generalized	generalized	ADJ
ejpam-3196	136	7	relative	relative	ADJ
ejpam-3196	136	8	semi-(m	semi-(m	PROPN
ejpam-3196	136	9	,	,	PUNCT
ejpam-3196	136	10	p	p	NOUN
ejpam-3196	136	11	)	)	PUNCT
ejpam-3196	136	12	-preinvex	-preinvex	NOUN
ejpam-3196	136	13	mappings	mapping	NOUN
ejpam-3196	136	14	.	.	PUNCT
ejpam-3196	137	1	(	(	PUNCT
ejpam-3196	137	2	iii	iii	X
ejpam-3196	137	3	)	)	PUNCT
ejpam-3196	137	4	if	if	SCONJ
ejpam-3196	137	5	taking	take	VERB
ejpam-3196	137	6	h1(t	h1(t	ADP
ejpam-3196	137	7	)	)	PUNCT
ejpam-3196	137	8	=	=	SYM
ejpam-3196	137	9	(	(	PUNCT
ejpam-3196	137	10	1−	1−	NUM
ejpam-3196	137	11	t)−s	t)−s	NUM
ejpam-3196	137	12	,	,	PUNCT
ejpam-3196	137	13	h2(t	h2(t	X
ejpam-3196	137	14	)	)	PUNCT
ejpam-3196	137	15	=	=	SYM
ejpam-3196	138	1	t−s	t−	NOUN
ejpam-3196	138	2	for	for	ADP
ejpam-3196	138	3	s	s	PROPN
ejpam-3196	138	4	∈	∈	PROPN
ejpam-3196	138	5	(	(	PUNCT
ejpam-3196	138	6	0	0	NUM
ejpam-3196	138	7	,	,	PUNCT
ejpam-3196	138	8	1	1	NUM
ejpam-3196	138	9	]	]	PUNCT
ejpam-3196	138	10	,	,	PUNCT
ejpam-3196	138	11	then	then	ADV
ejpam-3196	138	12	we	we	PRON
ejpam-3196	138	13	get	get	VERB
ejpam-3196	138	14	generalized	generalized	ADJ
ejpam-3196	138	15	relative	relative	ADJ
ejpam-3196	138	16	semi-(m	semi-(m	PROPN
ejpam-3196	138	17	,	,	PUNCT
ejpam-3196	138	18	s)-godunova	s)-godunova	X
ejpam-3196	138	19	-	-	PUNCT
ejpam-3196	138	20	levin	levin	NOUN
ejpam-3196	138	21	-	-	PUNCT
ejpam-3196	138	22	dragomir	dragomir	ADJ
ejpam-3196	138	23	-	-	PUNCT
ejpam-3196	138	24	preinvex	preinvex	NOUN
ejpam-3196	138	25	mappings	mapping	NOUN
ejpam-3196	138	26	.	.	PUNCT
ejpam-3196	139	1	(	(	PUNCT
ejpam-3196	139	2	iv	iv	X
ejpam-3196	139	3	)	)	PUNCT
ejpam-3196	139	4	if	if	SCONJ
ejpam-3196	139	5	taking	take	VERB
ejpam-3196	139	6	h1(t	h1(t	ADP
ejpam-3196	139	7	)	)	PUNCT
ejpam-3196	139	8	=	=	SYM
ejpam-3196	139	9	h(1−	h(1−	PROPN
ejpam-3196	139	10	t	t	PROPN
ejpam-3196	139	11	)	)	PUNCT
ejpam-3196	139	12	,	,	PUNCT
ejpam-3196	139	13	h2(t	h2(t	X
ejpam-3196	139	14	)	)	PUNCT
ejpam-3196	139	15	=	=	SYM
ejpam-3196	140	1	h(t	h(t	PROPN
ejpam-3196	140	2	)	)	PUNCT
ejpam-3196	140	3	,	,	PUNCT
ejpam-3196	140	4	then	then	ADV
ejpam-3196	140	5	we	we	PRON
ejpam-3196	140	6	get	get	VERB
ejpam-3196	140	7	generalized	generalized	ADJ
ejpam-3196	140	8	relative	relative	ADJ
ejpam-3196	140	9	semi-(m	semi-(m	PROPN
ejpam-3196	140	10	,	,	PUNCT
ejpam-3196	140	11	h)preinvex	h)preinvex	PROPN
ejpam-3196	140	12	mappings	mapping	NOUN
ejpam-3196	140	13	.	.	PUNCT
ejpam-3196	141	1	(	(	PUNCT
ejpam-3196	141	2	v	v	NOUN
ejpam-3196	141	3	)	)	PUNCT
ejpam-3196	141	4	if	if	SCONJ
ejpam-3196	141	5	taking	take	VERB
ejpam-3196	141	6	h1(t	h1(t	ADP
ejpam-3196	141	7	)	)	PUNCT
ejpam-3196	141	8	=	=	SYM
ejpam-3196	142	1	h2(t	h2(t	X
ejpam-3196	142	2	)	)	PUNCT
ejpam-3196	142	3	=	=	PUNCT
ejpam-3196	143	1	t(1	t(1	PROPN
ejpam-3196	143	2	−	−	PROPN
ejpam-3196	143	3	t	t	PROPN
ejpam-3196	143	4	)	)	PUNCT
ejpam-3196	143	5	,	,	PUNCT
ejpam-3196	143	6	then	then	ADV
ejpam-3196	143	7	we	we	PRON
ejpam-3196	143	8	get	get	VERB
ejpam-3196	143	9	generalized	generalized	ADJ
ejpam-3196	143	10	relative	relative	ADJ
ejpam-3196	143	11	semi-(m	semi-(m	PROPN
ejpam-3196	143	12	,	,	PUNCT
ejpam-3196	143	13	tgs)preinvex	tgs)preinvex	NOUN
ejpam-3196	143	14	mappings	mapping	NOUN
ejpam-3196	143	15	.	.	PUNCT
ejpam-3196	144	1	(	(	PUNCT
ejpam-3196	144	2	vi	vi	X
ejpam-3196	144	3	)	)	PUNCT
ejpam-3196	144	4	if	if	SCONJ
ejpam-3196	144	5	taking	take	VERB
ejpam-3196	144	6	h1(t	h1(t	ADP
ejpam-3196	144	7	)	)	PUNCT
ejpam-3196	144	8	=	=	SYM
ejpam-3196	145	1	√	√	NUM
ejpam-3196	145	2	1−	1−	NUM
ejpam-3196	145	3	t	t	PROPN
ejpam-3196	145	4	2	2	NUM
ejpam-3196	145	5	√	√	PROPN
ejpam-3196	145	6	t	t	PROPN
ejpam-3196	145	7	,	,	PUNCT
ejpam-3196	145	8	h2(t	h2(t	X
ejpam-3196	145	9	)	)	PUNCT
ejpam-3196	145	10	=	=	PUNCT
ejpam-3196	146	1	√	√	PROPN
ejpam-3196	146	2	t	t	NOUN
ejpam-3196	146	3	2	2	NUM
ejpam-3196	146	4	√	√	PROPN
ejpam-3196	146	5	1−	1−	NUM
ejpam-3196	146	6	t	t	NOUN
ejpam-3196	146	7	,	,	PUNCT
ejpam-3196	146	8	then	then	ADV
ejpam-3196	146	9	we	we	PRON
ejpam-3196	146	10	get	get	VERB
ejpam-3196	146	11	generalized	generalized	ADJ
ejpam-3196	146	12	relative	relative	ADJ
ejpam-3196	146	13	semi	semi	ADJ
ejpam-3196	146	14	-	-	ADJ
ejpam-3196	146	15	mmt	mmt	ADJ
ejpam-3196	146	16	-preinvex	-preinvex	PROPN
ejpam-3196	146	17	mappings	mapping	NOUN
ejpam-3196	146	18	.	.	PUNCT
ejpam-3196	147	1	it	it	PRON
ejpam-3196	147	2	is	be	AUX
ejpam-3196	147	3	worth	worth	ADJ
ejpam-3196	147	4	to	to	PART
ejpam-3196	147	5	mention	mention	VERB
ejpam-3196	147	6	here	here	ADV
ejpam-3196	147	7	that	that	PRON
ejpam-3196	147	8	to	to	ADP
ejpam-3196	147	9	the	the	DET
ejpam-3196	147	10	best	good	ADJ
ejpam-3196	147	11	of	of	ADP
ejpam-3196	147	12	our	our	PRON
ejpam-3196	147	13	knowledge	knowledge	NOUN
ejpam-3196	147	14	all	all	DET
ejpam-3196	147	15	the	the	DET
ejpam-3196	147	16	special	special	ADJ
ejpam-3196	147	17	cases	case	NOUN
ejpam-3196	147	18	discussed	discuss	VERB
ejpam-3196	147	19	above	above	ADV
ejpam-3196	147	20	are	be	AUX
ejpam-3196	147	21	new	new	ADJ
ejpam-3196	147	22	in	in	ADP
ejpam-3196	147	23	the	the	DET
ejpam-3196	147	24	literature	literature	NOUN
ejpam-3196	147	25	.	.	PUNCT
ejpam-3196	148	1	for	for	ADP
ejpam-3196	148	2	establishing	establish	VERB
ejpam-3196	148	3	our	our	PRON
ejpam-3196	148	4	main	main	ADJ
ejpam-3196	148	5	results	result	NOUN
ejpam-3196	148	6	regarding	regard	VERB
ejpam-3196	148	7	some	some	DET
ejpam-3196	148	8	new	new	ADJ
ejpam-3196	148	9	hermite	hermite	ADJ
ejpam-3196	148	10	-	-	PUNCT
ejpam-3196	148	11	hadamard	hadamard	ADJ
ejpam-3196	148	12	-	-	PUNCT
ejpam-3196	148	13	fejér	fejér	NOUN
ejpam-3196	148	14	type	type	NOUN
ejpam-3196	148	15	integral	integral	ADJ
ejpam-3196	148	16	inequalities	inequality	NOUN
ejpam-3196	148	17	associated	associate	VERB
ejpam-3196	148	18	with	with	ADP
ejpam-3196	148	19	generalized	generalized	ADJ
ejpam-3196	148	20	relative	relative	ADJ
ejpam-3196	148	21	semi-(r;m	semi-(r;m	PROPN
ejpam-3196	148	22	,	,	PUNCT
ejpam-3196	148	23	h1	h1	NOUN
ejpam-3196	148	24	,	,	PUNCT
ejpam-3196	148	25	h2)-preinvexity	h2)-preinvexity	PROPN
ejpam-3196	148	26	via	via	ADP
ejpam-3196	148	27	k	k	ADJ
ejpam-3196	148	28	-	-	PUNCT
ejpam-3196	148	29	fractional	fractional	ADJ
ejpam-3196	148	30	integrals	integral	NOUN
ejpam-3196	148	31	,	,	PUNCT
ejpam-3196	148	32	we	we	PRON
ejpam-3196	148	33	need	need	VERB
ejpam-3196	148	34	the	the	DET
ejpam-3196	148	35	following	follow	VERB
ejpam-3196	148	36	crucial	crucial	ADJ
ejpam-3196	148	37	lemma	lemma	PROPN
ejpam-3196	148	38	.	.	PUNCT
ejpam-3196	149	1	lemma	lemma	PROPN
ejpam-3196	149	2	1	1	X
ejpam-3196	149	3	.	.	PUNCT
ejpam-3196	149	4	suppose	suppose	VERB
ejpam-3196	149	5	k	k	X
ejpam-3196	150	1	=	=	PUNCT
ejpam-3196	151	1	[	[	X
ejpam-3196	151	2	mϕ(a),mϕ(a	mϕ(a),mϕ(a	NOUN
ejpam-3196	151	3	)	)	PUNCT
ejpam-3196	151	4	+	+	NUM
ejpam-3196	151	5	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3196	151	6	)	)	PUNCT
ejpam-3196	151	7	,	,	PUNCT
ejpam-3196	151	8	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	151	9	)	)	PUNCT
ejpam-3196	151	10	]	]	PUNCT
ejpam-3196	152	1	⊆	⊆	NUM
ejpam-3196	152	2	r	r	NOUN
ejpam-3196	152	3	be	be	VERB
ejpam-3196	152	4	an	an	DET
ejpam-3196	152	5	open	open	ADJ
ejpam-3196	152	6	nonempty	nonempty	ADJ
ejpam-3196	152	7	m	m	NOUN
ejpam-3196	152	8	-	-	PUNCT
ejpam-3196	152	9	invex	invex	NOUN
ejpam-3196	152	10	subset	subset	VERB
ejpam-3196	152	11	with	with	ADP
ejpam-3196	152	12	respect	respect	NOUN
ejpam-3196	152	13	to	to	ADP
ejpam-3196	152	14	η	η	PROPN
ejpam-3196	152	15	:	:	PUNCT
ejpam-3196	152	16	k	k	PROPN
ejpam-3196	152	17	×k	×k	PROPN
ejpam-3196	152	18	×	×	NOUN
ejpam-3196	152	19	(	(	PUNCT
ejpam-3196	152	20	0	0	NUM
ejpam-3196	152	21	,	,	PUNCT
ejpam-3196	152	22	1	1	NUM
ejpam-3196	152	23	]	]	X
ejpam-3196	152	24	−→	−→	ADJ
ejpam-3196	152	25	r	r	NOUN
ejpam-3196	152	26	for	for	ADP
ejpam-3196	152	27	some	some	DET
ejpam-3196	152	28	fixed	fix	VERB
ejpam-3196	152	29	m	m	VERB
ejpam-3196	152	30	∈	∈	NOUN
ejpam-3196	152	31	(	(	PUNCT
ejpam-3196	152	32	0	0	NUM
ejpam-3196	152	33	,	,	PUNCT
ejpam-3196	152	34	1	1	NUM
ejpam-3196	152	35	]	]	PUNCT
ejpam-3196	152	36	,	,	PUNCT
ejpam-3196	152	37	where	where	SCONJ
ejpam-3196	152	38	m.	m.	NOUN
ejpam-3196	152	39	ramosaçaj	ramosaçaj	NOUN
ejpam-3196	152	40	,	,	PUNCT
ejpam-3196	152	41	a.	a.	NOUN
ejpam-3196	152	42	kashuri	kashuri	PROPN
ejpam-3196	152	43	,	,	PUNCT
ejpam-3196	152	44	r.	r.	PROPN
ejpam-3196	152	45	liko	liko	PROPN
ejpam-3196	152	46	/	/	SYM
ejpam-3196	152	47	eur	eur	PROPN
ejpam-3196	152	48	.	.	PUNCT
ejpam-3196	153	1	j.	j.	PROPN
ejpam-3196	153	2	pure	pure	PROPN
ejpam-3196	153	3	appl	appl	PROPN
ejpam-3196	153	4	.	.	PROPN
ejpam-3196	153	5	math	math	PROPN
ejpam-3196	153	6	,	,	PUNCT
ejpam-3196	153	7	11	11	NUM
ejpam-3196	153	8	(	(	PUNCT
ejpam-3196	153	9	1	1	NUM
ejpam-3196	153	10	)	)	PUNCT
ejpam-3196	153	11	(	(	PUNCT
ejpam-3196	153	12	2018	2018	NUM
ejpam-3196	153	13	)	)	PUNCT
ejpam-3196	153	14	,	,	PUNCT
ejpam-3196	153	15	51	51	NUM
ejpam-3196	153	16	-	-	SYM
ejpam-3196	153	17	68	68	NUM
ejpam-3196	153	18	56	56	NUM
ejpam-3196	153	19	η(ϕ(b	η(ϕ(b	NOUN
ejpam-3196	153	20	)	)	PUNCT
ejpam-3196	153	21	,	,	PUNCT
ejpam-3196	153	22	ϕ(a),m	ϕ(a),m	PROPN
ejpam-3196	153	23	)	)	PUNCT
ejpam-3196	153	24	>	>	X
ejpam-3196	154	1	0	0	X
ejpam-3196	154	2	.	.	PUNCT
ejpam-3196	155	1	also	also	ADV
ejpam-3196	155	2	,	,	PUNCT
ejpam-3196	155	3	let	let	VERB
ejpam-3196	155	4	ϕ	ϕ	NOUN
ejpam-3196	155	5	:	:	PUNCT
ejpam-3196	155	6	i	i	PRON
ejpam-3196	155	7	−→	−→	VERB
ejpam-3196	155	8	k	k	PROPN
ejpam-3196	155	9	and	and	CCONJ
ejpam-3196	155	10	g	g	NOUN
ejpam-3196	155	11	:	:	PUNCT
ejpam-3196	155	12	k	k	X
ejpam-3196	155	13	−→	−→	NOUN
ejpam-3196	155	14	r	r	NOUN
ejpam-3196	155	15	are	be	AUX
ejpam-3196	155	16	continuous	continuous	ADJ
ejpam-3196	155	17	.	.	PUNCT
ejpam-3196	156	1	assume	assume	VERB
ejpam-3196	156	2	that	that	SCONJ
ejpam-3196	156	3	f	f	X
ejpam-3196	157	1	:	:	PUNCT
ejpam-3196	157	2	k	k	X
ejpam-3196	158	1	−→	−→	NOUN
ejpam-3196	158	2	r	r	NOUN
ejpam-3196	158	3	be	be	VERB
ejpam-3196	158	4	a	a	DET
ejpam-3196	158	5	differentiable	differentiable	ADJ
ejpam-3196	158	6	mapping	mapping	NOUN
ejpam-3196	158	7	on	on	ADP
ejpam-3196	158	8	k	k	NOUN
ejpam-3196	158	9	◦	◦	NOUN
ejpam-3196	158	10	such	such	ADJ
ejpam-3196	158	11	that	that	SCONJ
ejpam-3196	158	12	f	f	PROPN
ejpam-3196	158	13	′	′	NUM
ejpam-3196	158	14	∈	∈	PROPN
ejpam-3196	158	15	l1(k	l1(k	NOUN
ejpam-3196	158	16	)	)	PUNCT
ejpam-3196	158	17	.	.	PUNCT
ejpam-3196	159	1	then	then	ADV
ejpam-3196	159	2	for	for	ADP
ejpam-3196	159	3	α	α	NOUN
ejpam-3196	159	4	,	,	PUNCT
ejpam-3196	159	5	k	k	PROPN
ejpam-3196	159	6	>	>	X
ejpam-3196	159	7	0	0	PROPN
ejpam-3196	159	8	,	,	PUNCT
ejpam-3196	159	9	the	the	DET
ejpam-3196	159	10	following	follow	VERB
ejpam-3196	159	11	equality	equality	NOUN
ejpam-3196	159	12	holds	hold	VERB
ejpam-3196	159	13	for	for	ADP
ejpam-3196	159	14	k	k	ADJ
ejpam-3196	159	15	-	-	PUNCT
ejpam-3196	159	16	fractional	fractional	ADJ
ejpam-3196	159	17	integrals	integral	NOUN
ejpam-3196	159	18	:	:	PUNCT
ejpam-3196	159	19	(	(	PUNCT
ejpam-3196	159	20	∫	∫	PROPN
ejpam-3196	159	21	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	159	22	)	)	PUNCT
ejpam-3196	159	23	mϕ(a	mϕ(a	NOUN
ejpam-3196	159	24	)	)	PUNCT
ejpam-3196	159	25	g(s)ds	g(s)ds	NOUN
ejpam-3196	159	26	)	)	PUNCT
ejpam-3196	159	27	α	α	NOUN
ejpam-3196	159	28	k	k	X
ejpam-3196	160	1	[	[	PUNCT
ejpam-3196	160	2	f(mϕ(a	f(mϕ(a	PROPN
ejpam-3196	160	3	)	)	PUNCT
ejpam-3196	160	4	)	)	PUNCT
ejpam-3196	161	1	+	+	CCONJ
ejpam-3196	161	2	f(mϕ(a	f(mϕ(a	X
ejpam-3196	161	3	)	)	PUNCT
ejpam-3196	161	4	+	+	NUM
ejpam-3196	161	5	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3196	161	6	)	)	PUNCT
ejpam-3196	161	7	,	,	PUNCT
ejpam-3196	161	8	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	161	9	)	)	PUNCT
ejpam-3196	161	10	)	)	PUNCT
ejpam-3196	161	11	]	]	PUNCT
ejpam-3196	162	1	−α	−α	PROPN
ejpam-3196	163	1	k	k	PROPN
ejpam-3196	163	2	∫	∫	PROPN
ejpam-3196	163	3	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	163	4	)	)	PUNCT
ejpam-3196	163	5	mϕ(a	mϕ(a	NOUN
ejpam-3196	163	6	)	)	PUNCT
ejpam-3196	163	7	(	(	PUNCT
ejpam-3196	163	8	∫	∫	PROPN
ejpam-3196	163	9	t	t	PROPN
ejpam-3196	163	10	mϕ(a	mϕ(a	PROPN
ejpam-3196	163	11	)	)	PUNCT
ejpam-3196	163	12	g(s)ds	g(s)ds	NOUN
ejpam-3196	163	13	)	)	PUNCT
ejpam-3196	163	14	α	α	PROPN
ejpam-3196	163	15	k	k	PROPN
ejpam-3196	163	16	−1	−1	PROPN
ejpam-3196	163	17	g(t)f(t)dt	g(t)f(t)dt	PROPN
ejpam-3196	164	1	−α	−α	PROPN
ejpam-3196	164	2	k	k	PROPN
ejpam-3196	164	3	∫	∫	PROPN
ejpam-3196	164	4	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	164	5	)	)	PUNCT
ejpam-3196	164	6	mϕ(a	mϕ(a	NOUN
ejpam-3196	164	7	)	)	PUNCT
ejpam-3196	164	8	(	(	PUNCT
ejpam-3196	164	9	∫	∫	PROPN
ejpam-3196	164	10	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	164	11	)	)	PUNCT
ejpam-3196	164	12	t	t	PROPN
ejpam-3196	164	13	g(s)ds	g(s)ds	PROPN
ejpam-3196	164	14	)	)	PUNCT
ejpam-3196	164	15	α	α	PROPN
ejpam-3196	164	16	k	k	NOUN
ejpam-3196	164	17	−1	−1	NOUN
ejpam-3196	164	18	g(t)f(t)dt	g(t)f(t)dt	PROPN
ejpam-3196	164	19	=	=	SYM
ejpam-3196	164	20	∫	∫	PROPN
ejpam-3196	164	21	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	164	22	)	)	PUNCT
ejpam-3196	164	23	mϕ(a	mϕ(a	NOUN
ejpam-3196	164	24	)	)	PUNCT
ejpam-3196	164	25	(	(	PUNCT
ejpam-3196	164	26	∫	∫	PROPN
ejpam-3196	164	27	t	t	PROPN
ejpam-3196	164	28	mϕ(a	mϕ(a	PROPN
ejpam-3196	164	29	)	)	PUNCT
ejpam-3196	164	30	g(s)ds	g(s)ds	NOUN
ejpam-3196	164	31	)	)	PUNCT
ejpam-3196	164	32	α	α	PROPN
ejpam-3196	164	33	k	k	NOUN
ejpam-3196	165	1	f	f	X
ejpam-3196	165	2	′(t)dt	′(t)dt	PROPN
ejpam-3196	165	3	−	−	PROPN
ejpam-3196	165	4	∫	∫	PROPN
ejpam-3196	165	5	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	165	6	)	)	PUNCT
ejpam-3196	165	7	mϕ(a	mϕ(a	NOUN
ejpam-3196	165	8	)	)	PUNCT
ejpam-3196	165	9	(	(	PUNCT
ejpam-3196	165	10	∫	∫	PROPN
ejpam-3196	165	11	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	165	12	)	)	PUNCT
ejpam-3196	165	13	t	t	PROPN
ejpam-3196	165	14	g(s)ds	g(s)ds	PROPN
ejpam-3196	165	15	)	)	PUNCT
ejpam-3196	166	1	α	α	PROPN
ejpam-3196	166	2	k	k	X
ejpam-3196	166	3	f	f	PROPN
ejpam-3196	166	4	′(t)dt	′(t)dt	PROPN
ejpam-3196	166	5	.	.	PUNCT
ejpam-3196	167	1	(	(	PUNCT
ejpam-3196	167	2	17	17	NUM
ejpam-3196	167	3	)	)	PUNCT
ejpam-3196	167	4	proof	proof	NOUN
ejpam-3196	167	5	.	.	PUNCT
ejpam-3196	168	1	let	let	AUX
ejpam-3196	168	2	denote	denote	VERB
ejpam-3196	168	3	if	if	SCONJ
ejpam-3196	168	4	,	,	PUNCT
ejpam-3196	168	5	g	g	NOUN
ejpam-3196	168	6	,	,	PUNCT
ejpam-3196	168	7	η,ϕ(α	η,ϕ(α	X
ejpam-3196	168	8	,	,	PUNCT
ejpam-3196	168	9	k	k	PROPN
ejpam-3196	168	10	,	,	PUNCT
ejpam-3196	168	11	m	m	PROPN
ejpam-3196	168	12	,	,	PUNCT
ejpam-3196	168	13	a	a	DET
ejpam-3196	168	14	,	,	PUNCT
ejpam-3196	168	15	b	b	NOUN
ejpam-3196	168	16	)	)	PUNCT
ejpam-3196	168	17	=	=	SYM
ejpam-3196	168	18	∫	∫	PROPN
ejpam-3196	168	19	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	168	20	)	)	PUNCT
ejpam-3196	168	21	mϕ(a	mϕ(a	NOUN
ejpam-3196	168	22	)	)	PUNCT
ejpam-3196	168	23	(	(	PUNCT
ejpam-3196	168	24	∫	∫	PROPN
ejpam-3196	168	25	t	t	PROPN
ejpam-3196	168	26	mϕ(a	mϕ(a	PROPN
ejpam-3196	168	27	)	)	PUNCT
ejpam-3196	168	28	g(s)ds	g(s)ds	NOUN
ejpam-3196	168	29	)	)	PUNCT
ejpam-3196	168	30	α	α	PROPN
ejpam-3196	168	31	k	k	NOUN
ejpam-3196	169	1	f	f	X
ejpam-3196	169	2	′(t)dt	′(t)dt	PROPN
ejpam-3196	169	3	−	−	PROPN
ejpam-3196	169	4	∫	∫	PROPN
ejpam-3196	169	5	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	169	6	)	)	PUNCT
ejpam-3196	169	7	mϕ(a	mϕ(a	NOUN
ejpam-3196	169	8	)	)	PUNCT
ejpam-3196	169	9	(	(	PUNCT
ejpam-3196	169	10	∫	∫	PROPN
ejpam-3196	169	11	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	169	12	)	)	PUNCT
ejpam-3196	169	13	t	t	PROPN
ejpam-3196	169	14	g(s)ds	g(s)ds	PROPN
ejpam-3196	169	15	)	)	PUNCT
ejpam-3196	170	1	α	α	PROPN
ejpam-3196	170	2	k	k	X
ejpam-3196	170	3	f	f	PROPN
ejpam-3196	170	4	′(t)dt	′(t)dt	PROPN
ejpam-3196	170	5	.	.	PUNCT
ejpam-3196	171	1	(	(	PUNCT
ejpam-3196	171	2	18	18	NUM
ejpam-3196	171	3	)	)	PUNCT
ejpam-3196	171	4	integrating	integrating	NOUN
ejpam-3196	171	5	by	by	ADP
ejpam-3196	171	6	parts	part	NOUN
ejpam-3196	171	7	,	,	PUNCT
ejpam-3196	171	8	we	we	PRON
ejpam-3196	171	9	get	get	VERB
ejpam-3196	171	10	if	if	SCONJ
ejpam-3196	171	11	,	,	PUNCT
ejpam-3196	171	12	g	g	NOUN
ejpam-3196	171	13	,	,	PUNCT
ejpam-3196	171	14	η,ϕ(α	η,ϕ(α	X
ejpam-3196	171	15	,	,	PUNCT
ejpam-3196	171	16	k	k	PROPN
ejpam-3196	171	17	,	,	PUNCT
ejpam-3196	171	18	m	m	PROPN
ejpam-3196	171	19	,	,	PUNCT
ejpam-3196	171	20	a	a	DET
ejpam-3196	171	21	,	,	PUNCT
ejpam-3196	171	22	b	b	NOUN
ejpam-3196	171	23	)	)	PUNCT
ejpam-3196	171	24	=	=	SYM
ejpam-3196	172	1	(	(	PUNCT
ejpam-3196	172	2	∫	∫	PROPN
ejpam-3196	172	3	t	t	PROPN
ejpam-3196	172	4	mϕ(a	mϕ(a	PROPN
ejpam-3196	172	5	)	)	PUNCT
ejpam-3196	172	6	g(s)ds	g(s)ds	NOUN
ejpam-3196	172	7	)	)	PUNCT
ejpam-3196	172	8	α	α	NOUN
ejpam-3196	172	9	k	k	ADJ
ejpam-3196	172	10	f(t	f(t	PROPN
ejpam-3196	172	11	)	)	PUNCT
ejpam-3196	172	12	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-3196	172	13	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	X
ejpam-3196	172	14	)	)	PUNCT
ejpam-3196	172	15	mϕ(a	mϕ(a	NOUN
ejpam-3196	172	16	)	)	PUNCT
ejpam-3196	173	1	−α	−α	PROPN
ejpam-3196	173	2	k	k	PROPN
ejpam-3196	173	3	∫	∫	PROPN
ejpam-3196	173	4	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	173	5	)	)	PUNCT
ejpam-3196	173	6	mϕ(a	mϕ(a	NOUN
ejpam-3196	173	7	)	)	PUNCT
ejpam-3196	173	8	(	(	PUNCT
ejpam-3196	173	9	∫	∫	PROPN
ejpam-3196	173	10	t	t	PROPN
ejpam-3196	173	11	mϕ(a	mϕ(a	PROPN
ejpam-3196	173	12	)	)	PUNCT
ejpam-3196	173	13	g(s)ds	g(s)ds	NOUN
ejpam-3196	173	14	)	)	PUNCT
ejpam-3196	173	15	α	α	PROPN
ejpam-3196	173	16	k	k	PROPN
ejpam-3196	173	17	−1	−1	PROPN
ejpam-3196	173	18	g(t)f(t)dt	g(t)f(t)dt	PROPN
ejpam-3196	173	19	−	−	PROPN
ejpam-3196	173	20	(	(	PUNCT
ejpam-3196	173	21	∫	∫	PROPN
ejpam-3196	173	22	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	173	23	)	)	PUNCT
ejpam-3196	173	24	t	t	PROPN
ejpam-3196	173	25	g(s)ds	g(s)ds	PROPN
ejpam-3196	173	26	)	)	PUNCT
ejpam-3196	173	27	α	α	PROPN
ejpam-3196	173	28	k	k	ADJ
ejpam-3196	173	29	f(t	f(t	PROPN
ejpam-3196	173	30	)	)	PUNCT
ejpam-3196	173	31	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-3196	173	32	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	X
ejpam-3196	173	33	)	)	PUNCT
ejpam-3196	173	34	mϕ(a	mϕ(a	NOUN
ejpam-3196	173	35	)	)	PUNCT
ejpam-3196	173	36	−α	−α	PROPN
ejpam-3196	173	37	k	k	PROPN
ejpam-3196	173	38	∫	∫	PROPN
ejpam-3196	173	39	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	173	40	)	)	PUNCT
ejpam-3196	173	41	mϕ(a	mϕ(a	NOUN
ejpam-3196	173	42	)	)	PUNCT
ejpam-3196	173	43	(	(	PUNCT
ejpam-3196	173	44	∫	∫	PROPN
ejpam-3196	173	45	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	173	46	)	)	PUNCT
ejpam-3196	173	47	t	t	PROPN
ejpam-3196	173	48	g(s)ds	g(s)ds	PROPN
ejpam-3196	173	49	)	)	PUNCT
ejpam-3196	173	50	α	α	PROPN
ejpam-3196	173	51	k	k	PROPN
ejpam-3196	173	52	−1	−1	PROPN
ejpam-3196	173	53	g(t)f(t)dt	g(t)f(t)dt	PROPN
ejpam-3196	173	54	m.	m.	NOUN
ejpam-3196	173	55	ramosaçaj	ramosaçaj	PROPN
ejpam-3196	173	56	,	,	PUNCT
ejpam-3196	173	57	a.	a.	NOUN
ejpam-3196	173	58	kashuri	kashuri	PROPN
ejpam-3196	173	59	,	,	PUNCT
ejpam-3196	173	60	r.	r.	PROPN
ejpam-3196	173	61	liko	liko	PROPN
ejpam-3196	173	62	/	/	SYM
ejpam-3196	173	63	eur	eur	PROPN
ejpam-3196	173	64	.	.	PUNCT
ejpam-3196	174	1	j.	j.	PROPN
ejpam-3196	174	2	pure	pure	PROPN
ejpam-3196	174	3	appl	appl	PROPN
ejpam-3196	174	4	.	.	PROPN
ejpam-3196	174	5	math	math	PROPN
ejpam-3196	174	6	,	,	PUNCT
ejpam-3196	174	7	11	11	NUM
ejpam-3196	174	8	(	(	PUNCT
ejpam-3196	174	9	1	1	NUM
ejpam-3196	174	10	)	)	PUNCT
ejpam-3196	174	11	(	(	PUNCT
ejpam-3196	174	12	2018	2018	NUM
ejpam-3196	174	13	)	)	PUNCT
ejpam-3196	174	14	,	,	PUNCT
ejpam-3196	174	15	51	51	NUM
ejpam-3196	174	16	-	-	SYM
ejpam-3196	174	17	68	68	NUM
ejpam-3196	174	18	57	57	NUM
ejpam-3196	174	19	=	=	SYM
ejpam-3196	174	20	(	(	PUNCT
ejpam-3196	174	21	∫	∫	PROPN
ejpam-3196	174	22	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	174	23	)	)	PUNCT
ejpam-3196	174	24	mϕ(a	mϕ(a	NOUN
ejpam-3196	174	25	)	)	PUNCT
ejpam-3196	174	26	g(s)ds	g(s)ds	NOUN
ejpam-3196	174	27	)	)	PUNCT
ejpam-3196	174	28	α	α	NOUN
ejpam-3196	174	29	k	k	X
ejpam-3196	175	1	[	[	PUNCT
ejpam-3196	175	2	f(mϕ(a	f(mϕ(a	PROPN
ejpam-3196	175	3	)	)	PUNCT
ejpam-3196	175	4	)	)	PUNCT
ejpam-3196	176	1	+	+	CCONJ
ejpam-3196	176	2	f(mϕ(a	f(mϕ(a	X
ejpam-3196	176	3	)	)	PUNCT
ejpam-3196	176	4	+	+	NUM
ejpam-3196	176	5	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3196	176	6	)	)	PUNCT
ejpam-3196	176	7	,	,	PUNCT
ejpam-3196	176	8	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	176	9	)	)	PUNCT
ejpam-3196	176	10	)	)	PUNCT
ejpam-3196	176	11	]	]	PUNCT
ejpam-3196	177	1	−α	−α	PROPN
ejpam-3196	178	1	k	k	PROPN
ejpam-3196	178	2	∫	∫	PROPN
ejpam-3196	178	3	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	178	4	)	)	PUNCT
ejpam-3196	178	5	mϕ(a	mϕ(a	NOUN
ejpam-3196	178	6	)	)	PUNCT
ejpam-3196	178	7	(	(	PUNCT
ejpam-3196	178	8	∫	∫	PROPN
ejpam-3196	178	9	t	t	PROPN
ejpam-3196	178	10	mϕ(a	mϕ(a	PROPN
ejpam-3196	178	11	)	)	PUNCT
ejpam-3196	178	12	g(s)ds	g(s)ds	NOUN
ejpam-3196	178	13	)	)	PUNCT
ejpam-3196	178	14	α	α	PROPN
ejpam-3196	178	15	k	k	PROPN
ejpam-3196	178	16	−1	−1	PROPN
ejpam-3196	178	17	g(t)f(t)dt	g(t)f(t)dt	PROPN
ejpam-3196	179	1	−α	−α	PROPN
ejpam-3196	179	2	k	k	PROPN
ejpam-3196	179	3	∫	∫	PROPN
ejpam-3196	179	4	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	179	5	)	)	PUNCT
ejpam-3196	179	6	mϕ(a	mϕ(a	NOUN
ejpam-3196	179	7	)	)	PUNCT
ejpam-3196	179	8	(	(	PUNCT
ejpam-3196	179	9	∫	∫	PROPN
ejpam-3196	179	10	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	179	11	)	)	PUNCT
ejpam-3196	179	12	t	t	PROPN
ejpam-3196	179	13	g(s)ds	g(s)ds	PROPN
ejpam-3196	179	14	)	)	PUNCT
ejpam-3196	179	15	α	α	PROPN
ejpam-3196	179	16	k	k	NOUN
ejpam-3196	179	17	−1	−1	NOUN
ejpam-3196	179	18	g(t)f(t)dt	g(t)f(t)dt	NOUN
ejpam-3196	179	19	.	.	PUNCT
ejpam-3196	180	1	this	this	PRON
ejpam-3196	180	2	completes	complete	VERB
ejpam-3196	180	3	the	the	DET
ejpam-3196	180	4	proof	proof	NOUN
ejpam-3196	180	5	of	of	ADP
ejpam-3196	180	6	the	the	DET
ejpam-3196	180	7	lemma	lemma	PROPN
ejpam-3196	180	8	.	.	PUNCT
ejpam-3196	180	9	remark	remark	PROPN
ejpam-3196	180	10	4	4	NUM
ejpam-3196	180	11	.	.	PROPN
ejpam-3196	180	12	for	for	ADP
ejpam-3196	180	13	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3196	180	14	)	)	PUNCT
ejpam-3196	180	15	,	,	PUNCT
ejpam-3196	180	16	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	180	17	)	)	PUNCT
ejpam-3196	180	18	=	=	SYM
ejpam-3196	180	19	ϕ(b)−mϕ(a	ϕ(b)−mϕ(a	NOUN
ejpam-3196	180	20	)	)	PUNCT
ejpam-3196	180	21	,	,	PUNCT
ejpam-3196	181	1	where	where	SCONJ
ejpam-3196	181	2	ϕ(x	ϕ(x	X
ejpam-3196	181	3	)	)	PUNCT
ejpam-3196	181	4	=	=	SYM
ejpam-3196	182	1	x	x	NOUN
ejpam-3196	182	2	,	,	PUNCT
ejpam-3196	182	3	∀x	∀x	X
ejpam-3196	182	4	∈	∈	PROPN
ejpam-3196	182	5	i	i	PRON
ejpam-3196	182	6	and	and	CCONJ
ejpam-3196	182	7	m	m	VERB
ejpam-3196	182	8	=	=	ADJ
ejpam-3196	182	9	1	1	NUM
ejpam-3196	182	10	,	,	PUNCT
ejpam-3196	182	11	we	we	PRON
ejpam-3196	182	12	get	get	VERB
ejpam-3196	182	13	(	(	PUNCT
ejpam-3196	182	14	[	[	X
ejpam-3196	182	15	10	10	NUM
ejpam-3196	182	16	]	]	PUNCT
ejpam-3196	182	17	,	,	PUNCT
ejpam-3196	182	18	lemma	lemma	PROPN
ejpam-3196	182	19	2.1	2.1	NUM
ejpam-3196	182	20	)	)	PUNCT
ejpam-3196	182	21	.	.	PUNCT
ejpam-3196	183	1	using	use	VERB
ejpam-3196	183	2	lemma	lemma	PROPN
ejpam-3196	183	3	1	1	NUM
ejpam-3196	183	4	,	,	PUNCT
ejpam-3196	183	5	we	we	PRON
ejpam-3196	183	6	now	now	ADV
ejpam-3196	183	7	state	state	VERB
ejpam-3196	183	8	the	the	DET
ejpam-3196	183	9	following	follow	VERB
ejpam-3196	183	10	theorems	theorem	NOUN
ejpam-3196	183	11	for	for	ADP
ejpam-3196	183	12	the	the	DET
ejpam-3196	183	13	corresponding	corresponding	ADJ
ejpam-3196	183	14	version	version	NOUN
ejpam-3196	183	15	for	for	ADP
ejpam-3196	183	16	power	power	NOUN
ejpam-3196	183	17	of	of	ADP
ejpam-3196	183	18	first	first	ADJ
ejpam-3196	183	19	derivative	derivative	NOUN
ejpam-3196	183	20	.	.	PUNCT
ejpam-3196	184	1	theorem	theorem	NOUN
ejpam-3196	184	2	3	3	X
ejpam-3196	184	3	.	.	PUNCT
ejpam-3196	185	1	let	let	VERB
ejpam-3196	185	2	α	α	PRON
ejpam-3196	185	3	,	,	PUNCT
ejpam-3196	185	4	k	k	PROPN
ejpam-3196	185	5	>	>	X
ejpam-3196	185	6	0	0	PUNCT
ejpam-3196	186	1	and	and	CCONJ
ejpam-3196	186	2	0	0	NUM
ejpam-3196	186	3	<	<	X
ejpam-3196	186	4	r	r	NOUN
ejpam-3196	186	5	≤	≤	NUM
ejpam-3196	186	6	1	1	NUM
ejpam-3196	186	7	.	.	PUNCT
ejpam-3196	186	8	suppose	suppose	VERB
ejpam-3196	186	9	k	k	PROPN
ejpam-3196	187	1	=	=	PUNCT
ejpam-3196	188	1	[	[	X
ejpam-3196	188	2	mϕ(a),mϕ(a)+η(ϕ(b	mϕ(a),mϕ(a)+η(ϕ(b	X
ejpam-3196	188	3	)	)	PUNCT
ejpam-3196	188	4	,	,	PUNCT
ejpam-3196	188	5	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	188	6	)	)	PUNCT
ejpam-3196	188	7	]	]	PUNCT
ejpam-3196	189	1	⊆	⊆	NUM
ejpam-3196	189	2	r	r	NOUN
ejpam-3196	189	3	be	be	VERB
ejpam-3196	189	4	an	an	DET
ejpam-3196	189	5	open	open	ADJ
ejpam-3196	189	6	nonempty	nonempty	ADJ
ejpam-3196	189	7	m	m	NOUN
ejpam-3196	189	8	-	-	PUNCT
ejpam-3196	189	9	invex	invex	NOUN
ejpam-3196	189	10	subset	subset	VERB
ejpam-3196	189	11	with	with	ADP
ejpam-3196	189	12	respect	respect	NOUN
ejpam-3196	189	13	to	to	ADP
ejpam-3196	189	14	η	η	PROPN
ejpam-3196	189	15	:	:	PUNCT
ejpam-3196	189	16	k	k	PROPN
ejpam-3196	189	17	×	×	PROPN
ejpam-3196	189	18	k	k	PROPN
ejpam-3196	189	19	×	×	PROPN
ejpam-3196	189	20	(	(	PUNCT
ejpam-3196	189	21	0	0	NUM
ejpam-3196	189	22	,	,	PUNCT
ejpam-3196	189	23	1	1	NUM
ejpam-3196	189	24	]	]	X
ejpam-3196	189	25	−→	−→	ADJ
ejpam-3196	189	26	r	r	NOUN
ejpam-3196	189	27	for	for	ADP
ejpam-3196	189	28	some	some	DET
ejpam-3196	189	29	fixed	fix	VERB
ejpam-3196	189	30	m	m	VERB
ejpam-3196	189	31	∈	∈	NOUN
ejpam-3196	189	32	(	(	PUNCT
ejpam-3196	189	33	0	0	NUM
ejpam-3196	189	34	,	,	PUNCT
ejpam-3196	189	35	1	1	NUM
ejpam-3196	189	36	]	]	PUNCT
ejpam-3196	189	37	,	,	PUNCT
ejpam-3196	189	38	where	where	SCONJ
ejpam-3196	189	39	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3196	189	40	)	)	PUNCT
ejpam-3196	189	41	,	,	PUNCT
ejpam-3196	189	42	ϕ(a),m	ϕ(a),m	PROPN
ejpam-3196	189	43	)	)	PUNCT
ejpam-3196	189	44	>	>	X
ejpam-3196	190	1	0	0	X
ejpam-3196	190	2	.	.	PUNCT
ejpam-3196	191	1	also	also	ADV
ejpam-3196	191	2	,	,	PUNCT
ejpam-3196	191	3	let	let	VERB
ejpam-3196	191	4	h1	h1	VERB
ejpam-3196	191	5	,	,	PUNCT
ejpam-3196	191	6	h2	h2	NOUN
ejpam-3196	191	7	:	:	PUNCT
ejpam-3196	192	1	[	[	X
ejpam-3196	192	2	0	0	NUM
ejpam-3196	192	3	,	,	PUNCT
ejpam-3196	192	4	1	1	NUM
ejpam-3196	192	5	]	]	X
ejpam-3196	192	6	−→	−→	NOUN
ejpam-3196	192	7	[	[	X
ejpam-3196	192	8	0,+∞	0,+∞	NUM
ejpam-3196	192	9	)	)	PUNCT
ejpam-3196	192	10	,	,	PUNCT
ejpam-3196	192	11	ϕ	ϕ	NOUN
ejpam-3196	192	12	:	:	PUNCT
ejpam-3196	192	13	i	i	PRON
ejpam-3196	192	14	−→	−→	VERB
ejpam-3196	192	15	k	k	PROPN
ejpam-3196	192	16	and	and	CCONJ
ejpam-3196	192	17	g	g	NOUN
ejpam-3196	192	18	:	:	PUNCT
ejpam-3196	192	19	k	k	X
ejpam-3196	193	1	−→	−→	NOUN
ejpam-3196	193	2	r	r	NOUN
ejpam-3196	193	3	are	be	AUX
ejpam-3196	193	4	continuous	continuous	ADJ
ejpam-3196	193	5	.	.	PUNCT
ejpam-3196	194	1	assume	assume	VERB
ejpam-3196	194	2	that	that	SCONJ
ejpam-3196	194	3	f	f	X
ejpam-3196	194	4	:	:	PUNCT
ejpam-3196	194	5	k	k	X
ejpam-3196	194	6	−→	−→	NOUN
ejpam-3196	194	7	(	(	PUNCT
ejpam-3196	194	8	0,+∞	0,+∞	NUM
ejpam-3196	194	9	)	)	PUNCT
ejpam-3196	194	10	be	be	AUX
ejpam-3196	194	11	a	a	DET
ejpam-3196	194	12	differentiable	differentiable	ADJ
ejpam-3196	194	13	mapping	mapping	NOUN
ejpam-3196	194	14	on	on	ADP
ejpam-3196	194	15	k	k	NOUN
ejpam-3196	194	16	◦	◦	NOUN
ejpam-3196	194	17	such	such	ADJ
ejpam-3196	194	18	that	that	SCONJ
ejpam-3196	194	19	f	f	PROPN
ejpam-3196	194	20	′	′	NUM
ejpam-3196	194	21	∈	∈	PROPN
ejpam-3196	194	22	l1(k	l1(k	NOUN
ejpam-3196	194	23	)	)	PUNCT
ejpam-3196	194	24	.	.	PUNCT
ejpam-3196	195	1	if	if	SCONJ
ejpam-3196	195	2	(	(	PUNCT
ejpam-3196	195	3	f	f	PROPN
ejpam-3196	195	4	′(x))q	′(x))q	PROPN
ejpam-3196	195	5	is	be	AUX
ejpam-3196	195	6	generalized	generalized	ADJ
ejpam-3196	195	7	relative	relative	ADJ
ejpam-3196	195	8	semi-(r;m	semi-(r;m	PROPN
ejpam-3196	195	9	,	,	PUNCT
ejpam-3196	195	10	h1	h1	NOUN
ejpam-3196	195	11	,	,	PUNCT
ejpam-3196	195	12	h2)-preinvex	h2)-preinvex	PROPN
ejpam-3196	195	13	mapping	mapping	NOUN
ejpam-3196	195	14	,	,	PUNCT
ejpam-3196	195	15	q	q	ADJ
ejpam-3196	195	16	>	>	X
ejpam-3196	195	17	1	1	NUM
ejpam-3196	195	18	,	,	PUNCT
ejpam-3196	195	19	p−1	p−1	PROPN
ejpam-3196	195	20	+	+	NUM
ejpam-3196	195	21	q−1	q−1	PROPN
ejpam-3196	195	22	=	=	PUNCT
ejpam-3196	195	23	1	1	NUM
ejpam-3196	195	24	and	and	CCONJ
ejpam-3196	195	25	‖g‖∞	‖g‖∞	PROPN
ejpam-3196	195	26	=	=	SYM
ejpam-3196	195	27	sup	sup	PROPN
ejpam-3196	195	28	|g(t)|	|g(t)|	ADV
ejpam-3196	195	29	,	,	PUNCT
ejpam-3196	195	30	then	then	ADV
ejpam-3196	195	31	the	the	DET
ejpam-3196	195	32	following	follow	VERB
ejpam-3196	195	33	inequality	inequality	NOUN
ejpam-3196	195	34	for	for	ADP
ejpam-3196	195	35	k	k	ADJ
ejpam-3196	195	36	-	-	PUNCT
ejpam-3196	195	37	fractional	fractional	ADJ
ejpam-3196	195	38	integrals	integral	NOUN
ejpam-3196	195	39	holds	hold	VERB
ejpam-3196	195	40	:	:	PUNCT
ejpam-3196	195	41	∣∣if	∣∣if	ADJ
ejpam-3196	195	42	,	,	PUNCT
ejpam-3196	195	43	g	g	NOUN
ejpam-3196	195	44	,	,	PUNCT
ejpam-3196	195	45	η,ϕ(α	η,ϕ(α	X
ejpam-3196	195	46	,	,	PUNCT
ejpam-3196	195	47	k	k	PROPN
ejpam-3196	195	48	,	,	PUNCT
ejpam-3196	195	49	m	m	PROPN
ejpam-3196	195	50	,	,	PUNCT
ejpam-3196	195	51	a	a	DET
ejpam-3196	195	52	,	,	PUNCT
ejpam-3196	195	53	b	b	NOUN
ejpam-3196	195	54	)	)	PUNCT
ejpam-3196	195	55	∣∣	∣∣	NUM
ejpam-3196	195	56	≤	≤	NOUN
ejpam-3196	195	57	2‖g‖	2‖g‖	NUM
ejpam-3196	195	58	α	α	NOUN
ejpam-3196	195	59	k∞η	k∞η	NOUN
ejpam-3196	195	60	α	α	PROPN
ejpam-3196	195	61	k	k	PROPN
ejpam-3196	195	62	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	195	63	)	)	PUNCT
ejpam-3196	195	64	,	,	PUNCT
ejpam-3196	195	65	ϕ(a),m)(pα	ϕ(a),m)(pα	X
ejpam-3196	195	66	k	k	X
ejpam-3196	196	1	+	+	CCONJ
ejpam-3196	196	2	1	1	NUM
ejpam-3196	196	3	)	)	SYM
ejpam-3196	196	4	1	1	NUM
ejpam-3196	196	5	/	/	SYM
ejpam-3196	196	6	p	p	NOUN
ejpam-3196	196	7	×	×	NOUN
ejpam-3196	196	8	[	[	PUNCT
ejpam-3196	196	9	m(f	m(f	PROPN
ejpam-3196	196	10	′(a))rqir(h1(t	′(a))rqir(h1(t	PROPN
ejpam-3196	196	11	)	)	PUNCT
ejpam-3196	196	12	;	;	PUNCT
ejpam-3196	196	13	r	r	X
ejpam-3196	196	14	)	)	PUNCT
ejpam-3196	196	15	+	+	CCONJ
ejpam-3196	196	16	(	(	PUNCT
ejpam-3196	196	17	f	f	PROPN
ejpam-3196	196	18	′(b))rqir(h2(t	′(b))rqir(h2(t	PROPN
ejpam-3196	196	19	)	)	PUNCT
ejpam-3196	196	20	;	;	PUNCT
ejpam-3196	197	1	r	r	X
ejpam-3196	197	2	)	)	PUNCT
ejpam-3196	197	3	]	]	PUNCT
ejpam-3196	197	4	1	1	NUM
ejpam-3196	197	5	rq	rq	INTJ
ejpam-3196	197	6	,	,	PUNCT
ejpam-3196	197	7	(	(	PUNCT
ejpam-3196	197	8	19	19	NUM
ejpam-3196	197	9	)	)	PUNCT
ejpam-3196	197	10	where	where	SCONJ
ejpam-3196	197	11	i(hi(t	i(hi(t	NOUN
ejpam-3196	197	12	)	)	PUNCT
ejpam-3196	197	13	;	;	PUNCT
ejpam-3196	197	14	r	r	X
ejpam-3196	197	15	)	)	PUNCT
ejpam-3196	197	16	:	:	PUNCT
ejpam-3196	198	1	=	=	SYM
ejpam-3196	198	2	∫	∫	PROPN
ejpam-3196	198	3	1	1	NUM
ejpam-3196	198	4	0	0	NUM
ejpam-3196	198	5	h	h	NOUN
ejpam-3196	198	6	1	1	NUM
ejpam-3196	198	7	r	r	NOUN
ejpam-3196	198	8	i	i	PRON
ejpam-3196	198	9	(	(	PUNCT
ejpam-3196	198	10	t)dt	t)dt	PROPN
ejpam-3196	198	11	,	,	PUNCT
ejpam-3196	198	12	∀	∀	X
ejpam-3196	198	13	i	i	NOUN
ejpam-3196	198	14	=	=	NOUN
ejpam-3196	198	15	1	1	NUM
ejpam-3196	198	16	,	,	PUNCT
ejpam-3196	198	17	2	2	NUM
ejpam-3196	198	18	.	.	PUNCT
ejpam-3196	198	19	proof	proof	NOUN
ejpam-3196	198	20	.	.	PUNCT
ejpam-3196	198	21	suppose	suppose	VERB
ejpam-3196	198	22	that	that	SCONJ
ejpam-3196	198	23	q	q	PUNCT
ejpam-3196	198	24	>	>	X
ejpam-3196	198	25	1	1	NUM
ejpam-3196	198	26	,	,	PUNCT
ejpam-3196	198	27	p−1	p−1	PROPN
ejpam-3196	198	28	+	+	NUM
ejpam-3196	198	29	q−1	q−1	PROPN
ejpam-3196	198	30	=	=	PUNCT
ejpam-3196	198	31	1	1	NUM
ejpam-3196	198	32	and	and	CCONJ
ejpam-3196	198	33	0	0	NUM
ejpam-3196	199	1	<	<	X
ejpam-3196	199	2	r	r	NOUN
ejpam-3196	199	3	≤	≤	NUM
ejpam-3196	199	4	1	1	NUM
ejpam-3196	199	5	.	.	PUNCT
ejpam-3196	199	6	from	from	ADP
ejpam-3196	199	7	lemma	lemma	PROPN
ejpam-3196	199	8	1	1	NUM
ejpam-3196	199	9	,	,	PUNCT
ejpam-3196	199	10	generalized	generalized	ADJ
ejpam-3196	199	11	relative	relative	ADJ
ejpam-3196	199	12	semi-(r;m	semi-(r;m	PROPN
ejpam-3196	199	13	,	,	PUNCT
ejpam-3196	199	14	h1	h1	PROPN
ejpam-3196	199	15	,	,	PUNCT
ejpam-3196	199	16	h2)-preinvexity	h2)-preinvexity	PROPN
ejpam-3196	199	17	of	of	ADP
ejpam-3196	199	18	(	(	PUNCT
ejpam-3196	199	19	f	f	PROPN
ejpam-3196	199	20	′(x))q	′(x))q	PROPN
ejpam-3196	199	21	,	,	PUNCT
ejpam-3196	199	22	hölder	hölder	NOUN
ejpam-3196	199	23	inequality	inequality	NOUN
ejpam-3196	199	24	,	,	PUNCT
ejpam-3196	199	25	minkowski	minkowski	ADJ
ejpam-3196	199	26	inequality	inequality	NOUN
ejpam-3196	199	27	,	,	PUNCT
ejpam-3196	199	28	properties	property	NOUN
ejpam-3196	199	29	of	of	ADP
ejpam-3196	199	30	the	the	DET
ejpam-3196	199	31	modulus	modulus	NOUN
ejpam-3196	199	32	,	,	PUNCT
ejpam-3196	199	33	the	the	DET
ejpam-3196	199	34	fact	fact	NOUN
ejpam-3196	199	35	g(t	g(t	PROPN
ejpam-3196	199	36	)	)	PUNCT
ejpam-3196	199	37	≤	≤	PUNCT
ejpam-3196	199	38	‖g‖∞	‖g‖∞	PUNCT
ejpam-3196	199	39	and	and	CCONJ
ejpam-3196	199	40	changing	change	VERB
ejpam-3196	199	41	the	the	DET
ejpam-3196	199	42	variable	variable	ADJ
ejpam-3196	199	43	t	t	NOUN
ejpam-3196	199	44	=	=	SYM
ejpam-3196	199	45	mϕ(a	mϕ(a	NOUN
ejpam-3196	199	46	)	)	PUNCT
ejpam-3196	199	47	+	+	NUM
ejpam-3196	199	48	xη(ϕ(b	xη(ϕ(b	NUM
ejpam-3196	199	49	)	)	PUNCT
ejpam-3196	199	50	,	,	PUNCT
ejpam-3196	199	51	ϕ(a),m	ϕ(a),m	PROPN
ejpam-3196	199	52	)	)	PUNCT
ejpam-3196	199	53	,	,	PUNCT
ejpam-3196	199	54	we	we	PRON
ejpam-3196	199	55	have	have	VERB
ejpam-3196	199	56	∣∣if	∣∣if	NOUN
ejpam-3196	199	57	,	,	PUNCT
ejpam-3196	199	58	g	g	NOUN
ejpam-3196	199	59	,	,	PUNCT
ejpam-3196	199	60	η,ϕ(α	η,ϕ(α	X
ejpam-3196	199	61	,	,	PUNCT
ejpam-3196	199	62	k	k	PROPN
ejpam-3196	199	63	,	,	PUNCT
ejpam-3196	199	64	m	m	PROPN
ejpam-3196	199	65	,	,	PUNCT
ejpam-3196	199	66	a	a	DET
ejpam-3196	199	67	,	,	PUNCT
ejpam-3196	199	68	b	b	NOUN
ejpam-3196	199	69	)	)	PUNCT
ejpam-3196	199	70	∣∣	∣∣	PROPN
ejpam-3196	200	1	≤	≤	NUM
ejpam-3196	200	2	∫	∫	PROPN
ejpam-3196	200	3	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	SYM
ejpam-3196	200	4	)	)	PUNCT
ejpam-3196	200	5	mϕ(a	mϕ(a	NOUN
ejpam-3196	200	6	)	)	PUNCT
ejpam-3196	200	7	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3196	200	8	∫	∫	PROPN
ejpam-3196	200	9	t	t	PROPN
ejpam-3196	200	10	mϕ(a	mϕ(a	NOUN
ejpam-3196	200	11	)	)	PUNCT
ejpam-3196	200	12	g(s)ds	g(s)ds	NOUN
ejpam-3196	201	1	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-3196	201	2	α	α	PROPN
ejpam-3196	202	1	k	k	PROPN
ejpam-3196	202	2	|f	|f	PROPN
ejpam-3196	203	1	′(t)|dt	′(t)|dt	PROPN
ejpam-3196	203	2	+	+	CCONJ
ejpam-3196	203	3	∫	∫	PROPN
ejpam-3196	203	4	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PRON
ejpam-3196	203	5	)	)	PUNCT
ejpam-3196	203	6	mϕ(a	mϕ(a	NOUN
ejpam-3196	203	7	)	)	PUNCT
ejpam-3196	203	8	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3196	203	9	∫	∫	PROPN
ejpam-3196	203	10	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	203	11	)	)	PUNCT
ejpam-3196	203	12	t	t	PROPN
ejpam-3196	203	13	g(s)ds	g(s)ds	PROPN
ejpam-3196	204	1	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-3196	205	1	α	α	PROPN
ejpam-3196	206	1	k	k	PROPN
ejpam-3196	206	2	|f	|f	PROPN
ejpam-3196	206	3	′(t)|dt	′(t)|dt	PROPN
ejpam-3196	206	4	m.	m.	NOUN
ejpam-3196	206	5	ramosaçaj	ramosaçaj	PROPN
ejpam-3196	206	6	,	,	PUNCT
ejpam-3196	206	7	a.	a.	NOUN
ejpam-3196	206	8	kashuri	kashuri	PROPN
ejpam-3196	206	9	,	,	PUNCT
ejpam-3196	206	10	r.	r.	PROPN
ejpam-3196	206	11	liko	liko	PROPN
ejpam-3196	206	12	/	/	SYM
ejpam-3196	206	13	eur	eur	PROPN
ejpam-3196	206	14	.	.	PUNCT
ejpam-3196	207	1	j.	j.	PROPN
ejpam-3196	207	2	pure	pure	PROPN
ejpam-3196	207	3	appl	appl	PROPN
ejpam-3196	207	4	.	.	PROPN
ejpam-3196	207	5	math	math	PROPN
ejpam-3196	207	6	,	,	PUNCT
ejpam-3196	207	7	11	11	NUM
ejpam-3196	207	8	(	(	PUNCT
ejpam-3196	207	9	1	1	NUM
ejpam-3196	207	10	)	)	PUNCT
ejpam-3196	207	11	(	(	PUNCT
ejpam-3196	207	12	2018	2018	NUM
ejpam-3196	207	13	)	)	PUNCT
ejpam-3196	207	14	,	,	PUNCT
ejpam-3196	207	15	51	51	NUM
ejpam-3196	207	16	-	-	SYM
ejpam-3196	207	17	68	68	NUM
ejpam-3196	207	18	58	58	NUM
ejpam-3196	207	19	≤	≤	NUM
ejpam-3196	207	20	∫	∫	NUM
ejpam-3196	207	21	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	NOUN
ejpam-3196	207	22	)	)	PUNCT
ejpam-3196	207	23	mϕ(a	mϕ(a	NOUN
ejpam-3196	207	24	)	)	PUNCT
ejpam-3196	208	1	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3196	208	2	∫	∫	PROPN
ejpam-3196	208	3	t	t	PROPN
ejpam-3196	208	4	mϕ(a	mϕ(a	PROPN
ejpam-3196	208	5	)	)	PUNCT
ejpam-3196	208	6	g(s)ds	g(s)ds	PROPN
ejpam-3196	209	1	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-3196	209	2	pα	pα	INTJ
ejpam-3196	209	3	k	k	PROPN
ejpam-3196	209	4	dt	dt	NOUN
ejpam-3196	210	1			PROPN
ejpam-3196	210	2	1	1	NUM
ejpam-3196	210	3	p	p	NOUN
ejpam-3196	210	4	(	(	PUNCT
ejpam-3196	210	5	∫	∫	PROPN
ejpam-3196	210	6	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	210	7	)	)	PUNCT
ejpam-3196	210	8	mϕ(a	mϕ(a	NOUN
ejpam-3196	210	9	)	)	PUNCT
ejpam-3196	210	10	(	(	PUNCT
ejpam-3196	210	11	f	f	NOUN
ejpam-3196	210	12	′(t))qdt	′(t))qdt	NOUN
ejpam-3196	210	13	)	)	PUNCT
ejpam-3196	211	1	1	1	NUM
ejpam-3196	211	2	q	q	NOUN
ejpam-3196	211	3	+	+	NUM
ejpam-3196	211	4	∫	∫	NUM
ejpam-3196	211	5	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	ADJ
ejpam-3196	211	6	)	)	PUNCT
ejpam-3196	211	7	mϕ(a	mϕ(a	NOUN
ejpam-3196	211	8	)	)	PUNCT
ejpam-3196	211	9	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3196	211	10	∫	∫	PROPN
ejpam-3196	211	11	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	211	12	)	)	PUNCT
ejpam-3196	211	13	t	t	PROPN
ejpam-3196	211	14	g(s)ds	g(s)ds	PROPN
ejpam-3196	211	15	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-3196	211	16	pα	pα	INTJ
ejpam-3196	211	17	k	k	PROPN
ejpam-3196	211	18	dt	dt	NOUN
ejpam-3196	212	1			PROPN
ejpam-3196	212	2	1	1	NUM
ejpam-3196	212	3	p	p	NOUN
ejpam-3196	212	4	×	×	NOUN
ejpam-3196	212	5	(	(	PUNCT
ejpam-3196	212	6	∫	∫	PROPN
ejpam-3196	212	7	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	212	8	)	)	PUNCT
ejpam-3196	212	9	mϕ(a	mϕ(a	NOUN
ejpam-3196	212	10	)	)	PUNCT
ejpam-3196	212	11	(	(	PUNCT
ejpam-3196	212	12	f	f	NOUN
ejpam-3196	212	13	′(t))qdt	′(t))qdt	NOUN
ejpam-3196	212	14	)	)	PUNCT
ejpam-3196	212	15	1	1	NUM
ejpam-3196	212	16	q	q	NOUN
ejpam-3196	212	17	≤	≤	X
ejpam-3196	212	18	‖g‖	‖g‖	VERB
ejpam-3196	212	19	α	α	NUM
ejpam-3196	212	20	k∞	k∞	PROPN
ejpam-3196	212	21	×	×	NOUN
ejpam-3196	212	22	(	(	PUNCT
ejpam-3196	212	23	∫	∫	PROPN
ejpam-3196	212	24	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	212	25	)	)	PUNCT
ejpam-3196	212	26	mϕ(a	mϕ(a	NOUN
ejpam-3196	212	27	)	)	PUNCT
ejpam-3196	212	28	(	(	PUNCT
ejpam-3196	212	29	f	f	NOUN
ejpam-3196	212	30	′(t))qdt	′(t))qdt	NOUN
ejpam-3196	212	31	)	)	PUNCT
ejpam-3196	213	1	1	1	NUM
ejpam-3196	213	2	q	q	NOUN
ejpam-3196	213	3	×	×	NOUN
ejpam-3196	213	4	{	{	PUNCT
ejpam-3196	213	5	(	(	PUNCT
ejpam-3196	213	6	∫	∫	PROPN
ejpam-3196	213	7	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	213	8	)	)	PUNCT
ejpam-3196	213	9	mϕ(a	mϕ(a	NOUN
ejpam-3196	213	10	)	)	PUNCT
ejpam-3196	213	11	(	(	PUNCT
ejpam-3196	213	12	t−mϕ(a	t−mϕ(a	NOUN
ejpam-3196	213	13	)	)	PUNCT
ejpam-3196	213	14	)	)	PUNCT
ejpam-3196	213	15	pα	pα	INTJ
ejpam-3196	213	16	k	k	INTJ
ejpam-3196	213	17	dt	dt	PROPN
ejpam-3196	213	18	)	)	PUNCT
ejpam-3196	214	1	1	1	NUM
ejpam-3196	214	2	p	p	NOUN
ejpam-3196	214	3	+	+	X
ejpam-3196	214	4	(	(	PUNCT
ejpam-3196	214	5	∫	∫	PROPN
ejpam-3196	214	6	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	214	7	)	)	PUNCT
ejpam-3196	214	8	mϕ(a	mϕ(a	NOUN
ejpam-3196	214	9	)	)	PUNCT
ejpam-3196	214	10	(	(	PUNCT
ejpam-3196	214	11	mϕ(a	mϕ(a	NOUN
ejpam-3196	214	12	)	)	PUNCT
ejpam-3196	214	13	+	+	CCONJ
ejpam-3196	214	14	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3196	214	15	)	)	PUNCT
ejpam-3196	214	16	,	,	PUNCT
ejpam-3196	214	17	ϕ(a),m)−	ϕ(a),m)−	PROPN
ejpam-3196	214	18	t	t	PROPN
ejpam-3196	214	19	)	)	PUNCT
ejpam-3196	214	20	pα	pα	INTJ
ejpam-3196	214	21	k	k	NOUN
ejpam-3196	214	22	dt	dt	PROPN
ejpam-3196	214	23	)	)	PUNCT
ejpam-3196	214	24	1	1	NUM
ejpam-3196	214	25	p	p	NOUN
ejpam-3196	214	26	}	}	PUNCT
ejpam-3196	214	27	=	=	SYM
ejpam-3196	214	28	2‖g‖	2‖g‖	NUM
ejpam-3196	214	29	α	α	NOUN
ejpam-3196	214	30	k∞η	k∞η	NOUN
ejpam-3196	214	31	α	α	PROPN
ejpam-3196	214	32	k	k	PROPN
ejpam-3196	214	33	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	214	34	)	)	PUNCT
ejpam-3196	214	35	,	,	PUNCT
ejpam-3196	214	36	ϕ(a),m)(pα	ϕ(a),m)(pα	X
ejpam-3196	214	37	k	k	X
ejpam-3196	215	1	+	+	CCONJ
ejpam-3196	215	2	1	1	NUM
ejpam-3196	215	3	)	)	SYM
ejpam-3196	215	4	1	1	NUM
ejpam-3196	215	5	/	/	SYM
ejpam-3196	215	6	p	p	NOUN
ejpam-3196	215	7	×	×	NOUN
ejpam-3196	215	8	(	(	PUNCT
ejpam-3196	215	9	∫	∫	PROPN
ejpam-3196	215	10	1	1	NUM
ejpam-3196	215	11	0	0	NUM
ejpam-3196	215	12	(	(	PUNCT
ejpam-3196	215	13	f	f	PROPN
ejpam-3196	215	14	′(mϕ(a	′(mϕ(a	PROPN
ejpam-3196	215	15	)	)	PUNCT
ejpam-3196	216	1	+	+	CCONJ
ejpam-3196	216	2	tη(ϕ(b	tη(ϕ(b	NUM
ejpam-3196	216	3	)	)	PUNCT
ejpam-3196	216	4	,	,	PUNCT
ejpam-3196	216	5	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	216	6	)	)	PUNCT
ejpam-3196	216	7	)	)	PUNCT
ejpam-3196	216	8	)	)	PUNCT
ejpam-3196	217	1	q	q	X
ejpam-3196	217	2	dt	dt	NOUN
ejpam-3196	217	3	)	)	PUNCT
ejpam-3196	218	1	1	1	NUM
ejpam-3196	218	2	q	q	NOUN
ejpam-3196	218	3	≤	≤	NOUN
ejpam-3196	218	4	2‖g‖	2‖g‖	NUM
ejpam-3196	218	5	α	α	NOUN
ejpam-3196	218	6	k∞η	k∞η	NOUN
ejpam-3196	218	7	α	α	PROPN
ejpam-3196	218	8	k	k	PROPN
ejpam-3196	218	9	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	218	10	)	)	PUNCT
ejpam-3196	218	11	,	,	PUNCT
ejpam-3196	218	12	ϕ(a),m)(pα	ϕ(a),m)(pα	X
ejpam-3196	218	13	k	k	X
ejpam-3196	219	1	+	+	CCONJ
ejpam-3196	219	2	1	1	NUM
ejpam-3196	219	3	)	)	SYM
ejpam-3196	219	4	1	1	NUM
ejpam-3196	219	5	/	/	SYM
ejpam-3196	219	6	p	p	NOUN
ejpam-3196	219	7	×	×	NOUN
ejpam-3196	219	8	(	(	PUNCT
ejpam-3196	219	9	∫	∫	PROPN
ejpam-3196	219	10	1	1	NUM
ejpam-3196	219	11	0	0	NUM
ejpam-3196	219	12	[	[	PUNCT
ejpam-3196	219	13	mh1(t)(f	mh1(t)(f	PRON
ejpam-3196	219	14	′(a))rq	′(a))rq	PROPN
ejpam-3196	219	15	+	+	NUM
ejpam-3196	219	16	h2(t)(f	h2(t)(f	PROPN
ejpam-3196	219	17	′(b))rq	′(b))rq	PROPN
ejpam-3196	219	18	]	]	PUNCT
ejpam-3196	219	19	1	1	NUM
ejpam-3196	219	20	r	r	NOUN
ejpam-3196	219	21	dt	dt	NOUN
ejpam-3196	219	22	)	)	PUNCT
ejpam-3196	219	23	1	1	NUM
ejpam-3196	219	24	q	q	NOUN
ejpam-3196	219	25	≤	≤	NOUN
ejpam-3196	219	26	2‖g‖	2‖g‖	NUM
ejpam-3196	219	27	α	α	NOUN
ejpam-3196	219	28	k∞η	k∞η	NOUN
ejpam-3196	219	29	α	α	PROPN
ejpam-3196	219	30	k	k	PROPN
ejpam-3196	219	31	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	219	32	)	)	PUNCT
ejpam-3196	219	33	,	,	PUNCT
ejpam-3196	219	34	ϕ(a),m)(pα	ϕ(a),m)(pα	X
ejpam-3196	219	35	k	k	X
ejpam-3196	220	1	+	+	CCONJ
ejpam-3196	220	2	1	1	NUM
ejpam-3196	220	3	)	)	SYM
ejpam-3196	220	4	1	1	NUM
ejpam-3196	220	5	/	/	SYM
ejpam-3196	220	6	p	p	NOUN
ejpam-3196	220	7	×	×	NOUN
ejpam-3196	220	8	[	[	X
ejpam-3196	220	9	(	(	PUNCT
ejpam-3196	220	10	∫	∫	PROPN
ejpam-3196	220	11	1	1	NUM
ejpam-3196	220	12	0	0	NUM
ejpam-3196	220	13	m	m	VERB
ejpam-3196	220	14	1	1	NUM
ejpam-3196	220	15	r	r	NOUN
ejpam-3196	220	16	(	(	PUNCT
ejpam-3196	220	17	f	f	NOUN
ejpam-3196	220	18	′(a))qh	′(a))qh	NUM
ejpam-3196	220	19	1	1	NUM
ejpam-3196	220	20	r	r	NOUN
ejpam-3196	220	21	1	1	NUM
ejpam-3196	220	22	(	(	PUNCT
ejpam-3196	220	23	t)dt	t)dt	PROPN
ejpam-3196	220	24	)	)	PUNCT
ejpam-3196	220	25	r	r	NOUN
ejpam-3196	220	26	+	+	CCONJ
ejpam-3196	220	27	(	(	PUNCT
ejpam-3196	220	28	∫	∫	PROPN
ejpam-3196	220	29	1	1	NUM
ejpam-3196	220	30	0	0	NUM
ejpam-3196	220	31	(	(	PUNCT
ejpam-3196	220	32	f	f	NOUN
ejpam-3196	220	33	′(b))qh	′(b))qh	SYM
ejpam-3196	220	34	1	1	NUM
ejpam-3196	220	35	r	r	NOUN
ejpam-3196	220	36	2	2	NUM
ejpam-3196	220	37	(	(	PUNCT
ejpam-3196	220	38	t)dt	t)dt	PROPN
ejpam-3196	220	39	)	)	PUNCT
ejpam-3196	220	40	r	r	NOUN
ejpam-3196	220	41	]	]	PUNCT
ejpam-3196	220	42	1	1	NUM
ejpam-3196	220	43	rq	rq	NOUN
ejpam-3196	220	44	=	=	SYM
ejpam-3196	220	45	2‖g‖	2‖g‖	NUM
ejpam-3196	220	46	α	α	NOUN
ejpam-3196	220	47	k∞η	k∞η	NOUN
ejpam-3196	220	48	α	α	PROPN
ejpam-3196	220	49	k	k	PROPN
ejpam-3196	220	50	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	220	51	)	)	PUNCT
ejpam-3196	220	52	,	,	PUNCT
ejpam-3196	220	53	ϕ(a),m)(pα	ϕ(a),m)(pα	X
ejpam-3196	220	54	k	k	X
ejpam-3196	221	1	+	+	CCONJ
ejpam-3196	221	2	1	1	NUM
ejpam-3196	221	3	)	)	SYM
ejpam-3196	221	4	1	1	NUM
ejpam-3196	221	5	/	/	SYM
ejpam-3196	221	6	p	p	NOUN
ejpam-3196	221	7	×	×	NOUN
ejpam-3196	221	8	[	[	PUNCT
ejpam-3196	221	9	m(f	m(f	PROPN
ejpam-3196	221	10	′(a))rqir(h1(t	′(a))rqir(h1(t	PROPN
ejpam-3196	221	11	)	)	PUNCT
ejpam-3196	221	12	;	;	PUNCT
ejpam-3196	221	13	r	r	X
ejpam-3196	221	14	)	)	PUNCT
ejpam-3196	221	15	+	+	CCONJ
ejpam-3196	221	16	(	(	PUNCT
ejpam-3196	221	17	f	f	PROPN
ejpam-3196	221	18	′(b))rqir(h2(t	′(b))rqir(h2(t	PROPN
ejpam-3196	221	19	)	)	PUNCT
ejpam-3196	221	20	;	;	PUNCT
ejpam-3196	222	1	r	r	X
ejpam-3196	222	2	)	)	PUNCT
ejpam-3196	222	3	]	]	PUNCT
ejpam-3196	222	4	1	1	NUM
ejpam-3196	222	5	rq	rq	NOUN
ejpam-3196	222	6	.	.	PUNCT
ejpam-3196	223	1	so	so	ADV
ejpam-3196	223	2	,	,	PUNCT
ejpam-3196	223	3	the	the	DET
ejpam-3196	223	4	proof	proof	NOUN
ejpam-3196	223	5	of	of	ADP
ejpam-3196	223	6	this	this	DET
ejpam-3196	223	7	theorem	theorem	NOUN
ejpam-3196	223	8	is	be	AUX
ejpam-3196	223	9	complete	complete	ADJ
ejpam-3196	223	10	.	.	PUNCT
ejpam-3196	224	1	remark	remark	NOUN
ejpam-3196	224	2	5	5	NUM
ejpam-3196	224	3	.	.	PUNCT
ejpam-3196	224	4	for	for	ADP
ejpam-3196	224	5	h1(t	h1(t	PRON
ejpam-3196	224	6	)	)	PUNCT
ejpam-3196	224	7	=	=	SYM
ejpam-3196	224	8	1−t	1−t	NUM
ejpam-3196	224	9	,	,	PUNCT
ejpam-3196	224	10	h2(t	h2(t	X
ejpam-3196	224	11	)	)	PUNCT
ejpam-3196	224	12	=	=	SYM
ejpam-3196	224	13	t	t	PROPN
ejpam-3196	224	14	,	,	PUNCT
ejpam-3196	224	15	r	r	NOUN
ejpam-3196	224	16	=	=	PUNCT
ejpam-3196	224	17	m	m	NOUN
ejpam-3196	224	18	=	=	SYM
ejpam-3196	224	19	1	1	NUM
ejpam-3196	224	20	,	,	PUNCT
ejpam-3196	224	21	and	and	CCONJ
ejpam-3196	224	22	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3196	224	23	)	)	PUNCT
ejpam-3196	224	24	,	,	PUNCT
ejpam-3196	224	25	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	224	26	)	)	PUNCT
ejpam-3196	224	27	=	=	SYM
ejpam-3196	224	28	ϕ(b)−mϕ(a	ϕ(b)−mϕ(a	NOUN
ejpam-3196	224	29	)	)	PUNCT
ejpam-3196	224	30	,	,	PUNCT
ejpam-3196	225	1	where	where	SCONJ
ejpam-3196	225	2	ϕ(x	ϕ(x	X
ejpam-3196	225	3	)	)	PUNCT
ejpam-3196	225	4	=	=	SYM
ejpam-3196	226	1	x	x	NOUN
ejpam-3196	226	2	,	,	PUNCT
ejpam-3196	226	3	∀x	∀x	X
ejpam-3196	226	4	∈	∈	PROPN
ejpam-3196	227	1	i	i	PRON
ejpam-3196	227	2	,	,	PUNCT
ejpam-3196	227	3	we	we	PRON
ejpam-3196	227	4	get	get	VERB
ejpam-3196	227	5	(	(	PUNCT
ejpam-3196	227	6	[	[	X
ejpam-3196	227	7	10	10	NUM
ejpam-3196	227	8	]	]	PUNCT
ejpam-3196	227	9	,	,	PUNCT
ejpam-3196	227	10	theorem	theorem	VERB
ejpam-3196	227	11	2.5	2.5	NUM
ejpam-3196	227	12	)	)	PUNCT
ejpam-3196	227	13	.	.	PUNCT
ejpam-3196	228	1	m.	m.	NOUN
ejpam-3196	228	2	ramosaçaj	ramosaçaj	PROPN
ejpam-3196	228	3	,	,	PUNCT
ejpam-3196	228	4	a.	a.	NOUN
ejpam-3196	228	5	kashuri	kashuri	PROPN
ejpam-3196	228	6	,	,	PUNCT
ejpam-3196	228	7	r.	r.	PROPN
ejpam-3196	228	8	liko	liko	PROPN
ejpam-3196	228	9	/	/	SYM
ejpam-3196	228	10	eur	eur	PROPN
ejpam-3196	228	11	.	.	PUNCT
ejpam-3196	229	1	j.	j.	PROPN
ejpam-3196	229	2	pure	pure	PROPN
ejpam-3196	229	3	appl	appl	PROPN
ejpam-3196	229	4	.	.	PROPN
ejpam-3196	229	5	math	math	PROPN
ejpam-3196	229	6	,	,	PUNCT
ejpam-3196	229	7	11	11	NUM
ejpam-3196	229	8	(	(	PUNCT
ejpam-3196	229	9	1	1	NUM
ejpam-3196	229	10	)	)	PUNCT
ejpam-3196	229	11	(	(	PUNCT
ejpam-3196	229	12	2018	2018	NUM
ejpam-3196	229	13	)	)	PUNCT
ejpam-3196	229	14	,	,	PUNCT
ejpam-3196	229	15	51	51	NUM
ejpam-3196	229	16	-	-	SYM
ejpam-3196	229	17	68	68	NUM
ejpam-3196	229	18	59	59	NUM
ejpam-3196	229	19	we	we	PRON
ejpam-3196	229	20	point	point	VERB
ejpam-3196	229	21	out	out	ADP
ejpam-3196	229	22	some	some	DET
ejpam-3196	229	23	special	special	ADJ
ejpam-3196	229	24	cases	case	NOUN
ejpam-3196	229	25	of	of	ADP
ejpam-3196	229	26	theorem	theorem	ADJ
ejpam-3196	229	27	3	3	NUM
ejpam-3196	229	28	.	.	PUNCT
ejpam-3196	229	29	corollary	corollary	ADJ
ejpam-3196	229	30	1	1	NUM
ejpam-3196	229	31	.	.	PUNCT
ejpam-3196	230	1	in	in	ADP
ejpam-3196	230	2	theorem	theorem	NOUN
ejpam-3196	230	3	3	3	NUM
ejpam-3196	230	4	for	for	ADP
ejpam-3196	230	5	p	p	NOUN
ejpam-3196	230	6	=	=	NOUN
ejpam-3196	230	7	q	q	NOUN
ejpam-3196	230	8	=	=	SYM
ejpam-3196	230	9	2	2	NUM
ejpam-3196	230	10	,	,	PUNCT
ejpam-3196	230	11	we	we	PRON
ejpam-3196	230	12	have	have	VERB
ejpam-3196	230	13	the	the	DET
ejpam-3196	230	14	following	follow	VERB
ejpam-3196	230	15	hermite	hermite	ADJ
ejpam-3196	230	16	-	-	PUNCT
ejpam-3196	230	17	hadamard	hadamard	ADJ
ejpam-3196	230	18	type	type	NOUN
ejpam-3196	230	19	inequality	inequality	NOUN
ejpam-3196	230	20	for	for	ADP
ejpam-3196	230	21	generalized	generalized	ADJ
ejpam-3196	230	22	relative	relative	ADJ
ejpam-3196	230	23	semi-(r;m	semi-(r;m	PROPN
ejpam-3196	230	24	,	,	PUNCT
ejpam-3196	230	25	h1	h1	NOUN
ejpam-3196	230	26	,	,	PUNCT
ejpam-3196	230	27	h2)-preinvex	h2)-preinvex	NOUN
ejpam-3196	230	28	mappings	mapping	NOUN
ejpam-3196	230	29	via	via	ADP
ejpam-3196	230	30	k	k	ADJ
ejpam-3196	230	31	-	-	PUNCT
ejpam-3196	230	32	fractional	fractional	ADJ
ejpam-3196	230	33	integrals	integral	NOUN
ejpam-3196	230	34	:	:	PUNCT
ejpam-3196	230	35	∣∣if	∣∣if	ADJ
ejpam-3196	230	36	,	,	PUNCT
ejpam-3196	230	37	g	g	NOUN
ejpam-3196	230	38	,	,	PUNCT
ejpam-3196	230	39	η,ϕ(α	η,ϕ(α	X
ejpam-3196	230	40	,	,	PUNCT
ejpam-3196	230	41	k	k	PROPN
ejpam-3196	230	42	,	,	PUNCT
ejpam-3196	230	43	m	m	PROPN
ejpam-3196	230	44	,	,	PUNCT
ejpam-3196	230	45	a	a	DET
ejpam-3196	230	46	,	,	PUNCT
ejpam-3196	230	47	b	b	NOUN
ejpam-3196	230	48	)	)	PUNCT
ejpam-3196	231	1	∣∣	∣∣	NUM
ejpam-3196	231	2	≤	≤	NOUN
ejpam-3196	231	3	2‖g‖	2‖g‖	NUM
ejpam-3196	231	4	α	α	NOUN
ejpam-3196	231	5	k∞η	k∞η	NOUN
ejpam-3196	231	6	α	α	PROPN
ejpam-3196	231	7	k	k	PROPN
ejpam-3196	231	8	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	231	9	)	)	PUNCT
ejpam-3196	231	10	,	,	PUNCT
ejpam-3196	231	11	ϕ(a),m)√	ϕ(a),m)√	PROPN
ejpam-3196	231	12	2α	2α	NOUN
ejpam-3196	231	13	k	k	PROPN
ejpam-3196	231	14	+	+	CCONJ
ejpam-3196	231	15	1	1	NUM
ejpam-3196	231	16	×	×	NOUN
ejpam-3196	231	17	[	[	PUNCT
ejpam-3196	231	18	m(f	m(f	PROPN
ejpam-3196	231	19	′(a))2rir(h1(t	′(a))2rir(h1(t	PROPN
ejpam-3196	231	20	)	)	PUNCT
ejpam-3196	231	21	;	;	PUNCT
ejpam-3196	231	22	r	r	X
ejpam-3196	231	23	)	)	PUNCT
ejpam-3196	231	24	+	+	CCONJ
ejpam-3196	231	25	(	(	PUNCT
ejpam-3196	231	26	f	f	PROPN
ejpam-3196	231	27	′(b))2rir(h2(t	′(b))2rir(h2(t	PROPN
ejpam-3196	231	28	)	)	PUNCT
ejpam-3196	231	29	;	;	PUNCT
ejpam-3196	232	1	r	r	X
ejpam-3196	232	2	)	)	PUNCT
ejpam-3196	232	3	]	]	PUNCT
ejpam-3196	232	4	1	1	NUM
ejpam-3196	232	5	2r	2r	NUM
ejpam-3196	232	6	.	.	PUNCT
ejpam-3196	233	1	(	(	PUNCT
ejpam-3196	233	2	20	20	NUM
ejpam-3196	233	3	)	)	PUNCT
ejpam-3196	233	4	corollary	corollary	ADJ
ejpam-3196	233	5	2	2	NUM
ejpam-3196	233	6	.	.	PUNCT
ejpam-3196	233	7	in	in	ADP
ejpam-3196	233	8	theorem	theorem	NOUN
ejpam-3196	233	9	3	3	NUM
ejpam-3196	233	10	for	for	ADP
ejpam-3196	233	11	g(s	g(	NOUN
ejpam-3196	233	12	)	)	PUNCT
ejpam-3196	233	13	≡	≡	PROPN
ejpam-3196	233	14	1	1	NUM
ejpam-3196	233	15	,	,	PUNCT
ejpam-3196	233	16	we	we	PRON
ejpam-3196	233	17	have	have	VERB
ejpam-3196	233	18	the	the	DET
ejpam-3196	233	19	following	follow	VERB
ejpam-3196	233	20	hermite	hermite	ADJ
ejpam-3196	233	21	-	-	PUNCT
ejpam-3196	233	22	hadamard	hadamard	ADJ
ejpam-3196	233	23	type	type	NOUN
ejpam-3196	233	24	inequality	inequality	NOUN
ejpam-3196	233	25	for	for	ADP
ejpam-3196	233	26	generalized	generalized	ADJ
ejpam-3196	233	27	relative	relative	ADJ
ejpam-3196	233	28	semi-(r;m	semi-(r;m	PROPN
ejpam-3196	233	29	,	,	PUNCT
ejpam-3196	233	30	h1	h1	NOUN
ejpam-3196	233	31	,	,	PUNCT
ejpam-3196	233	32	h2)-preinvex	h2)-preinvex	NOUN
ejpam-3196	233	33	mappings	mapping	NOUN
ejpam-3196	233	34	via	via	ADP
ejpam-3196	233	35	k	k	ADJ
ejpam-3196	233	36	-	-	PUNCT
ejpam-3196	233	37	fractional	fractional	ADJ
ejpam-3196	233	38	integrals	integral	NOUN
ejpam-3196	233	39	:	:	PUNCT
ejpam-3196	233	40	∣∣∣∣∣f(mϕ(a	∣∣∣∣∣f(mϕ(a	NOUN
ejpam-3196	233	41	)	)	PUNCT
ejpam-3196	233	42	)	)	PUNCT
ejpam-3196	234	1	+	+	CCONJ
ejpam-3196	234	2	f(mϕ(a	f(mϕ(a	X
ejpam-3196	234	3	)	)	PUNCT
ejpam-3196	234	4	+	+	NUM
ejpam-3196	234	5	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3196	234	6	)	)	PUNCT
ejpam-3196	234	7	,	,	PUNCT
ejpam-3196	234	8	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	234	9	)	)	PUNCT
ejpam-3196	234	10	)	)	PUNCT
ejpam-3196	235	1	2	2	NUM
ejpam-3196	235	2	−	−	PROPN
ejpam-3196	235	3	γk(α+	γk(α+	PROPN
ejpam-3196	235	4	k	k	NOUN
ejpam-3196	235	5	)	)	PUNCT
ejpam-3196	235	6	2η	2η	PROPN
ejpam-3196	236	1	α	α	INTJ
ejpam-3196	236	2	k	k	PROPN
ejpam-3196	236	3	(	(	PUNCT
ejpam-3196	236	4	ϕ(b	ϕ(b	PROPN
ejpam-3196	236	5	)	)	PUNCT
ejpam-3196	236	6	,	,	PUNCT
ejpam-3196	236	7	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	236	8	)	)	PUNCT
ejpam-3196	236	9	×	×	NOUN
ejpam-3196	236	10	[	[	PUNCT
ejpam-3196	236	11	iα	iα	PROPN
ejpam-3196	236	12	,	,	PUNCT
ejpam-3196	236	13	k(mϕ(a))+f(mϕ(a	k(mϕ(a))+f(mϕ(a	PROPN
ejpam-3196	236	14	)	)	PUNCT
ejpam-3196	236	15	+	+	NUM
ejpam-3196	236	16	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3196	236	17	)	)	PUNCT
ejpam-3196	236	18	,	,	PUNCT
ejpam-3196	236	19	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	236	20	)	)	PUNCT
ejpam-3196	236	21	)	)	PUNCT
ejpam-3196	237	1	+	+	CCONJ
ejpam-3196	237	2	iα	iα	PROPN
ejpam-3196	237	3	,	,	PUNCT
ejpam-3196	237	4	k(mϕ(a)+η(ϕ(b),ϕ(a),m))−f(mϕ(a	k(mϕ(a)+η(ϕ(b),ϕ(a),m))−f(mϕ(a	PROPN
ejpam-3196	237	5	)	)	PUNCT
ejpam-3196	237	6	)	)	PUNCT
ejpam-3196	238	1	]	]	PUNCT
ejpam-3196	238	2	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3196	238	3	≤	≤	PROPN
ejpam-3196	238	4	η	η	PROPN
ejpam-3196	238	5	α	α	PROPN
ejpam-3196	238	6	k	k	PROPN
ejpam-3196	238	7	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	238	8	)	)	PUNCT
ejpam-3196	238	9	,	,	PUNCT
ejpam-3196	238	10	ϕ(a),m)(pα	ϕ(a),m)(pα	X
ejpam-3196	238	11	k	k	X
ejpam-3196	239	1	+	+	CCONJ
ejpam-3196	239	2	1	1	NUM
ejpam-3196	239	3	)	)	SYM
ejpam-3196	239	4	1	1	NUM
ejpam-3196	239	5	/	/	SYM
ejpam-3196	239	6	p	p	NOUN
ejpam-3196	239	7	×	×	NOUN
ejpam-3196	239	8	[	[	PUNCT
ejpam-3196	239	9	m(f	m(f	PROPN
ejpam-3196	239	10	′(a))rqir(h1(t	′(a))rqir(h1(t	PROPN
ejpam-3196	239	11	)	)	PUNCT
ejpam-3196	239	12	;	;	PUNCT
ejpam-3196	239	13	r	r	X
ejpam-3196	239	14	)	)	PUNCT
ejpam-3196	239	15	+	+	CCONJ
ejpam-3196	239	16	(	(	PUNCT
ejpam-3196	239	17	f	f	PROPN
ejpam-3196	239	18	′(b))rqir(h2(t	′(b))rqir(h2(t	PROPN
ejpam-3196	239	19	)	)	PUNCT
ejpam-3196	239	20	;	;	PUNCT
ejpam-3196	240	1	r	r	X
ejpam-3196	240	2	)	)	PUNCT
ejpam-3196	240	3	]	]	PUNCT
ejpam-3196	240	4	1	1	NUM
ejpam-3196	240	5	rq	rq	NOUN
ejpam-3196	240	6	.	.	PUNCT
ejpam-3196	241	1	(	(	PUNCT
ejpam-3196	241	2	21	21	NUM
ejpam-3196	241	3	)	)	PUNCT
ejpam-3196	241	4	corollary	corollary	ADJ
ejpam-3196	241	5	3	3	X
ejpam-3196	241	6	.	.	PUNCT
ejpam-3196	241	7	in	in	ADP
ejpam-3196	241	8	theorem	theorem	NOUN
ejpam-3196	241	9	3	3	NUM
ejpam-3196	241	10	for	for	ADP
ejpam-3196	241	11	h1(t	h1(t	PRON
ejpam-3196	241	12	)	)	PUNCT
ejpam-3196	241	13	=	=	PUNCT
ejpam-3196	242	1	h(1	h(1	NOUN
ejpam-3196	242	2	−	−	PROPN
ejpam-3196	242	3	t	t	PROPN
ejpam-3196	242	4	)	)	PUNCT
ejpam-3196	242	5	,	,	PUNCT
ejpam-3196	242	6	h2(t	h2(t	X
ejpam-3196	242	7	)	)	PUNCT
ejpam-3196	242	8	=	=	PUNCT
ejpam-3196	242	9	h(t	h(t	PROPN
ejpam-3196	242	10	)	)	PUNCT
ejpam-3196	242	11	and	and	CCONJ
ejpam-3196	242	12	f	f	PROPN
ejpam-3196	242	13	′(x	′(x	PROPN
ejpam-3196	242	14	)	)	PUNCT
ejpam-3196	242	15	≤	≤	PUNCT
ejpam-3196	243	1	k	k	X
ejpam-3196	243	2	,	,	PUNCT
ejpam-3196	243	3	∀x	∀x	X
ejpam-3196	243	4	∈	∈	PROPN
ejpam-3196	244	1	i	i	PRON
ejpam-3196	244	2	,	,	PUNCT
ejpam-3196	244	3	we	we	PRON
ejpam-3196	244	4	get	get	VERB
ejpam-3196	244	5	the	the	DET
ejpam-3196	244	6	following	follow	VERB
ejpam-3196	244	7	hermite	hermite	ADJ
ejpam-3196	244	8	-	-	PUNCT
ejpam-3196	244	9	hadamard	hadamard	ADJ
ejpam-3196	244	10	-	-	PUNCT
ejpam-3196	244	11	fejér	fejér	NOUN
ejpam-3196	244	12	type	type	NOUN
ejpam-3196	244	13	inequality	inequality	NOUN
ejpam-3196	244	14	for	for	ADP
ejpam-3196	244	15	generalized	generalized	ADJ
ejpam-3196	244	16	relative	relative	ADJ
ejpam-3196	244	17	semi(r;m	semi(r;m	NOUN
ejpam-3196	244	18	,	,	PUNCT
ejpam-3196	244	19	h)-preinvex	h)-preinvex	PUNCT
ejpam-3196	244	20	mappings	mapping	NOUN
ejpam-3196	244	21	via	via	ADP
ejpam-3196	244	22	k	k	ADJ
ejpam-3196	244	23	-	-	PUNCT
ejpam-3196	244	24	fractional	fractional	ADJ
ejpam-3196	244	25	integrals	integral	NOUN
ejpam-3196	244	26	:	:	PUNCT
ejpam-3196	244	27	∣∣if	∣∣if	ADJ
ejpam-3196	244	28	,	,	PUNCT
ejpam-3196	244	29	g	g	NOUN
ejpam-3196	244	30	,	,	PUNCT
ejpam-3196	244	31	η,ϕ(α	η,ϕ(α	X
ejpam-3196	244	32	,	,	PUNCT
ejpam-3196	244	33	k	k	PROPN
ejpam-3196	244	34	,	,	PUNCT
ejpam-3196	244	35	m	m	PROPN
ejpam-3196	244	36	,	,	PUNCT
ejpam-3196	244	37	a	a	DET
ejpam-3196	244	38	,	,	PUNCT
ejpam-3196	244	39	b	b	NOUN
ejpam-3196	244	40	)	)	PUNCT
ejpam-3196	244	41	∣∣	∣∣	X
ejpam-3196	244	42	≤	≤	NOUN
ejpam-3196	244	43	2k(m+	2k(m+	NUM
ejpam-3196	244	44	1	1	NUM
ejpam-3196	244	45	)	)	SYM
ejpam-3196	244	46	1	1	NUM
ejpam-3196	244	47	rq	rq	NOUN
ejpam-3196	244	48	‖g‖	‖g‖	VERB
ejpam-3196	244	49	α	α	PRON
ejpam-3196	244	50	k∞η	k∞η	NOUN
ejpam-3196	244	51	α	α	PROPN
ejpam-3196	244	52	k	k	PROPN
ejpam-3196	244	53	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	244	54	)	)	PUNCT
ejpam-3196	244	55	,	,	PUNCT
ejpam-3196	244	56	ϕ(a),m)(pα	ϕ(a),m)(pα	X
ejpam-3196	244	57	k	k	X
ejpam-3196	245	1	+	+	CCONJ
ejpam-3196	245	2	1	1	NUM
ejpam-3196	245	3	)	)	SYM
ejpam-3196	245	4	1	1	NUM
ejpam-3196	245	5	/	/	SYM
ejpam-3196	245	6	p	p	X
ejpam-3196	245	7	i	i	PROPN
ejpam-3196	245	8	1	1	NUM
ejpam-3196	245	9	q	q	NOUN
ejpam-3196	245	10	(	(	PUNCT
ejpam-3196	245	11	h(t	h(t	PROPN
ejpam-3196	245	12	)	)	PUNCT
ejpam-3196	245	13	;	;	PUNCT
ejpam-3196	245	14	r	r	X
ejpam-3196	245	15	)	)	PUNCT
ejpam-3196	245	16	.	.	PUNCT
ejpam-3196	246	1	(	(	PUNCT
ejpam-3196	246	2	22	22	NUM
ejpam-3196	246	3	)	)	PUNCT
ejpam-3196	246	4	corollary	corollary	NOUN
ejpam-3196	246	5	4	4	NUM
ejpam-3196	246	6	.	.	PUNCT
ejpam-3196	247	1	in	in	ADP
ejpam-3196	247	2	corollary	corollary	ADJ
ejpam-3196	247	3	3	3	NUM
ejpam-3196	247	4	for	for	ADP
ejpam-3196	247	5	h1(t	h1(t	PRON
ejpam-3196	247	6	)	)	PUNCT
ejpam-3196	247	7	=	=	SYM
ejpam-3196	247	8	(	(	PUNCT
ejpam-3196	247	9	1−t)s	1−t)s	NUM
ejpam-3196	247	10	,	,	PUNCT
ejpam-3196	247	11	h2(t	h2(t	X
ejpam-3196	247	12	)	)	PUNCT
ejpam-3196	247	13	=	=	SYM
ejpam-3196	247	14	ts	ts	NOUN
ejpam-3196	247	15	,	,	PUNCT
ejpam-3196	247	16	we	we	PRON
ejpam-3196	247	17	get	get	VERB
ejpam-3196	247	18	the	the	DET
ejpam-3196	247	19	following	follow	VERB
ejpam-3196	247	20	hermitehadamard	hermitehadamard	NOUN
ejpam-3196	247	21	-	-	PUNCT
ejpam-3196	247	22	fejér	fejér	NOUN
ejpam-3196	247	23	type	type	NOUN
ejpam-3196	247	24	inequality	inequality	NOUN
ejpam-3196	247	25	for	for	ADP
ejpam-3196	247	26	generalized	generalized	ADJ
ejpam-3196	247	27	relative	relative	ADJ
ejpam-3196	247	28	semi-(r;m	semi-(r;m	NOUN
ejpam-3196	247	29	,	,	PUNCT
ejpam-3196	247	30	s)-breckner	s)-breckner	ADJ
ejpam-3196	247	31	-	-	PUNCT
ejpam-3196	247	32	preinvex	preinvex	NOUN
ejpam-3196	247	33	mappings	mapping	NOUN
ejpam-3196	247	34	via	via	ADP
ejpam-3196	247	35	k	k	ADJ
ejpam-3196	247	36	-	-	PUNCT
ejpam-3196	247	37	fractional	fractional	ADJ
ejpam-3196	247	38	integrals	integral	NOUN
ejpam-3196	247	39	:	:	PUNCT
ejpam-3196	247	40	∣∣if	∣∣if	ADJ
ejpam-3196	247	41	,	,	PUNCT
ejpam-3196	247	42	g	g	NOUN
ejpam-3196	247	43	,	,	PUNCT
ejpam-3196	247	44	η,ϕ(α	η,ϕ(α	X
ejpam-3196	247	45	,	,	PUNCT
ejpam-3196	247	46	k	k	PROPN
ejpam-3196	247	47	,	,	PUNCT
ejpam-3196	247	48	m	m	PROPN
ejpam-3196	247	49	,	,	PUNCT
ejpam-3196	247	50	a	a	DET
ejpam-3196	247	51	,	,	PUNCT
ejpam-3196	247	52	b	b	NOUN
ejpam-3196	247	53	)	)	PUNCT
ejpam-3196	247	54	∣∣	∣∣	X
ejpam-3196	247	55	≤	≤	NOUN
ejpam-3196	247	56	2k(m+	2k(m+	NUM
ejpam-3196	247	57	1	1	NUM
ejpam-3196	247	58	)	)	SYM
ejpam-3196	247	59	1	1	NUM
ejpam-3196	247	60	rq	rq	NOUN
ejpam-3196	247	61	‖g‖	‖g‖	VERB
ejpam-3196	247	62	α	α	PRON
ejpam-3196	247	63	k∞η	k∞η	NOUN
ejpam-3196	247	64	α	α	PROPN
ejpam-3196	247	65	k	k	PROPN
ejpam-3196	247	66	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	247	67	)	)	PUNCT
ejpam-3196	247	68	,	,	PUNCT
ejpam-3196	247	69	ϕ(a),m)(pα	ϕ(a),m)(pα	X
ejpam-3196	247	70	k	k	X
ejpam-3196	248	1	+	+	CCONJ
ejpam-3196	248	2	1	1	NUM
ejpam-3196	248	3	)	)	SYM
ejpam-3196	248	4	1	1	NUM
ejpam-3196	248	5	/	/	SYM
ejpam-3196	248	6	p	p	NOUN
ejpam-3196	248	7	(	(	PUNCT
ejpam-3196	248	8	r	r	NOUN
ejpam-3196	248	9	r	r	NOUN
ejpam-3196	248	10	+	+	SYM
ejpam-3196	248	11	s	s	PART
ejpam-3196	248	12	)	)	PUNCT
ejpam-3196	248	13	1	1	NUM
ejpam-3196	248	14	q	q	NOUN
ejpam-3196	248	15	.	.	PUNCT
ejpam-3196	249	1	(	(	PUNCT
ejpam-3196	249	2	23	23	NUM
ejpam-3196	249	3	)	)	PUNCT
ejpam-3196	249	4	corollary	corollary	ADJ
ejpam-3196	249	5	5	5	NUM
ejpam-3196	249	6	.	.	PUNCT
ejpam-3196	250	1	in	in	ADP
ejpam-3196	250	2	corollary	corollary	ADJ
ejpam-3196	250	3	3	3	NUM
ejpam-3196	250	4	for	for	ADP
ejpam-3196	250	5	h1(t	h1(t	PRON
ejpam-3196	250	6	)	)	PUNCT
ejpam-3196	250	7	=	=	SYM
ejpam-3196	250	8	(	(	PUNCT
ejpam-3196	250	9	1−	1−	NUM
ejpam-3196	250	10	t)−s	t)−s	NUM
ejpam-3196	250	11	,	,	PUNCT
ejpam-3196	250	12	h2(t	h2(t	X
ejpam-3196	250	13	)	)	PUNCT
ejpam-3196	250	14	=	=	SYM
ejpam-3196	250	15	t−s	t−	NOUN
ejpam-3196	250	16	and	and	CCONJ
ejpam-3196	250	17	0	0	NUM
ejpam-3196	250	18	<	<	X
ejpam-3196	250	19	s	s	X
ejpam-3196	250	20	<	<	X
ejpam-3196	250	21	r	r	NOUN
ejpam-3196	250	22	,	,	PUNCT
ejpam-3196	250	23	we	we	PRON
ejpam-3196	250	24	get	get	VERB
ejpam-3196	250	25	the	the	DET
ejpam-3196	250	26	following	follow	VERB
ejpam-3196	250	27	hermite	hermite	ADJ
ejpam-3196	250	28	-	-	PUNCT
ejpam-3196	250	29	hadamard	hadamard	ADJ
ejpam-3196	250	30	-	-	PUNCT
ejpam-3196	250	31	fejér	fejér	NOUN
ejpam-3196	250	32	type	type	NOUN
ejpam-3196	250	33	inequality	inequality	NOUN
ejpam-3196	250	34	for	for	ADP
ejpam-3196	250	35	generalized	generalized	ADJ
ejpam-3196	250	36	relative	relative	ADJ
ejpam-3196	250	37	semi-(r;m	semi-(r;m	NOUN
ejpam-3196	250	38	,	,	PUNCT
ejpam-3196	250	39	s)godunova	s)godunova	NOUN
ejpam-3196	250	40	-	-	PUNCT
ejpam-3196	250	41	levin	levin	NOUN
ejpam-3196	250	42	-	-	PUNCT
ejpam-3196	250	43	dragomir	dragomir	ADJ
ejpam-3196	250	44	-	-	PUNCT
ejpam-3196	250	45	preinvex	preinvex	NOUN
ejpam-3196	250	46	mappings	mapping	NOUN
ejpam-3196	250	47	via	via	ADP
ejpam-3196	250	48	k	k	ADJ
ejpam-3196	250	49	-	-	PUNCT
ejpam-3196	250	50	fractional	fractional	ADJ
ejpam-3196	250	51	integrals	integral	NOUN
ejpam-3196	250	52	:	:	PUNCT
ejpam-3196	250	53	m.	m.	NOUN
ejpam-3196	250	54	ramosaçaj	ramosaçaj	PROPN
ejpam-3196	250	55	,	,	PUNCT
ejpam-3196	250	56	a.	a.	NOUN
ejpam-3196	250	57	kashuri	kashuri	PROPN
ejpam-3196	250	58	,	,	PUNCT
ejpam-3196	250	59	r.	r.	PROPN
ejpam-3196	250	60	liko	liko	PROPN
ejpam-3196	250	61	/	/	SYM
ejpam-3196	250	62	eur	eur	PROPN
ejpam-3196	250	63	.	.	PUNCT
ejpam-3196	251	1	j.	j.	PROPN
ejpam-3196	251	2	pure	pure	PROPN
ejpam-3196	251	3	appl	appl	PROPN
ejpam-3196	251	4	.	.	PROPN
ejpam-3196	251	5	math	math	PROPN
ejpam-3196	251	6	,	,	PUNCT
ejpam-3196	251	7	11	11	NUM
ejpam-3196	251	8	(	(	PUNCT
ejpam-3196	251	9	1	1	NUM
ejpam-3196	251	10	)	)	PUNCT
ejpam-3196	251	11	(	(	PUNCT
ejpam-3196	251	12	2018	2018	NUM
ejpam-3196	251	13	)	)	PUNCT
ejpam-3196	251	14	,	,	PUNCT
ejpam-3196	251	15	51	51	NUM
ejpam-3196	251	16	-	-	SYM
ejpam-3196	251	17	68	68	NUM
ejpam-3196	251	18	60	60	NUM
ejpam-3196	251	19	∣∣if	∣∣if	NOUN
ejpam-3196	251	20	,	,	PUNCT
ejpam-3196	251	21	g	g	NOUN
ejpam-3196	251	22	,	,	PUNCT
ejpam-3196	251	23	η,ϕ(α	η,ϕ(α	X
ejpam-3196	251	24	,	,	PUNCT
ejpam-3196	251	25	k	k	PROPN
ejpam-3196	251	26	,	,	PUNCT
ejpam-3196	251	27	m	m	PROPN
ejpam-3196	251	28	,	,	PUNCT
ejpam-3196	251	29	a	a	DET
ejpam-3196	251	30	,	,	PUNCT
ejpam-3196	251	31	b	b	NOUN
ejpam-3196	251	32	)	)	PUNCT
ejpam-3196	251	33	∣∣	∣∣	X
ejpam-3196	251	34	≤	≤	NOUN
ejpam-3196	251	35	2k(m+	2k(m+	NUM
ejpam-3196	251	36	1	1	NUM
ejpam-3196	251	37	)	)	SYM
ejpam-3196	251	38	1	1	NUM
ejpam-3196	251	39	rq	rq	NOUN
ejpam-3196	251	40	‖g‖	‖g‖	VERB
ejpam-3196	251	41	α	α	PRON
ejpam-3196	251	42	k∞η	k∞η	NOUN
ejpam-3196	251	43	α	α	PROPN
ejpam-3196	251	44	k	k	PROPN
ejpam-3196	251	45	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	251	46	)	)	PUNCT
ejpam-3196	251	47	,	,	PUNCT
ejpam-3196	251	48	ϕ(a),m)(pα	ϕ(a),m)(pα	X
ejpam-3196	251	49	k	k	X
ejpam-3196	252	1	+	+	CCONJ
ejpam-3196	252	2	1	1	NUM
ejpam-3196	252	3	)	)	SYM
ejpam-3196	252	4	1	1	NUM
ejpam-3196	252	5	/	/	SYM
ejpam-3196	252	6	p	p	NOUN
ejpam-3196	252	7	(	(	PUNCT
ejpam-3196	252	8	r	r	NOUN
ejpam-3196	252	9	r	r	NOUN
ejpam-3196	252	10	−	−	PROPN
ejpam-3196	252	11	s	s	PART
ejpam-3196	252	12	)	)	PUNCT
ejpam-3196	252	13	1	1	NUM
ejpam-3196	252	14	q	q	NOUN
ejpam-3196	252	15	.	.	PUNCT
ejpam-3196	253	1	(	(	PUNCT
ejpam-3196	253	2	24	24	NUM
ejpam-3196	253	3	)	)	PUNCT
ejpam-3196	253	4	corollary	corollary	NOUN
ejpam-3196	253	5	6	6	NUM
ejpam-3196	253	6	.	.	PUNCT
ejpam-3196	254	1	in	in	ADP
ejpam-3196	254	2	theorem	theorem	NOUN
ejpam-3196	254	3	3	3	NUM
ejpam-3196	254	4	for	for	ADP
ejpam-3196	254	5	h1(t	h1(t	PRON
ejpam-3196	254	6	)	)	PUNCT
ejpam-3196	254	7	=	=	SYM
ejpam-3196	254	8	h2(t	h2(t	X
ejpam-3196	254	9	)	)	PUNCT
ejpam-3196	254	10	=	=	SYM
ejpam-3196	254	11	t(1−t	t(1−t	NOUN
ejpam-3196	254	12	)	)	PUNCT
ejpam-3196	254	13	and	and	CCONJ
ejpam-3196	254	14	f	f	PROPN
ejpam-3196	254	15	′(x	′(x	PROPN
ejpam-3196	254	16	)	)	PUNCT
ejpam-3196	254	17	≤	≤	PUNCT
ejpam-3196	255	1	k	k	X
ejpam-3196	255	2	,	,	PUNCT
ejpam-3196	255	3	∀x	∀x	X
ejpam-3196	255	4	∈	∈	PROPN
ejpam-3196	256	1	i	i	PRON
ejpam-3196	256	2	,	,	PUNCT
ejpam-3196	256	3	we	we	PRON
ejpam-3196	256	4	get	get	VERB
ejpam-3196	256	5	the	the	DET
ejpam-3196	256	6	following	follow	VERB
ejpam-3196	256	7	hermite	hermite	ADJ
ejpam-3196	256	8	-	-	PUNCT
ejpam-3196	256	9	hadamard	hadamard	ADJ
ejpam-3196	256	10	-	-	PUNCT
ejpam-3196	256	11	fejér	fejér	NOUN
ejpam-3196	256	12	type	type	NOUN
ejpam-3196	256	13	inequality	inequality	NOUN
ejpam-3196	256	14	for	for	ADP
ejpam-3196	256	15	generalized	generalized	ADJ
ejpam-3196	256	16	relative	relative	NOUN
ejpam-3196	256	17	semi-(m	semi-(m	PROPN
ejpam-3196	256	18	,	,	PUNCT
ejpam-3196	256	19	tgs)preinvex	tgs)preinvex	NOUN
ejpam-3196	256	20	mappings	mapping	NOUN
ejpam-3196	256	21	via	via	ADP
ejpam-3196	256	22	k	k	ADJ
ejpam-3196	256	23	-	-	PUNCT
ejpam-3196	256	24	fractional	fractional	ADJ
ejpam-3196	256	25	integrals	integral	NOUN
ejpam-3196	256	26	:	:	PUNCT
ejpam-3196	256	27	∣∣if	∣∣if	ADJ
ejpam-3196	256	28	,	,	PUNCT
ejpam-3196	256	29	g	g	NOUN
ejpam-3196	256	30	,	,	PUNCT
ejpam-3196	256	31	η,ϕ(α	η,ϕ(α	X
ejpam-3196	256	32	,	,	PUNCT
ejpam-3196	256	33	k	k	PROPN
ejpam-3196	256	34	,	,	PUNCT
ejpam-3196	256	35	m	m	PROPN
ejpam-3196	256	36	,	,	PUNCT
ejpam-3196	256	37	a	a	DET
ejpam-3196	256	38	,	,	PUNCT
ejpam-3196	256	39	b	b	NOUN
ejpam-3196	256	40	)	)	PUNCT
ejpam-3196	256	41	∣∣	∣∣	X
ejpam-3196	256	42	≤	≤	NOUN
ejpam-3196	256	43	2k(m+	2k(m+	NUM
ejpam-3196	256	44	1	1	NUM
ejpam-3196	256	45	)	)	SYM
ejpam-3196	256	46	1	1	NUM
ejpam-3196	256	47	rq	rq	NOUN
ejpam-3196	256	48	‖g‖	‖g‖	VERB
ejpam-3196	256	49	α	α	PRON
ejpam-3196	256	50	k∞η	k∞η	NOUN
ejpam-3196	256	51	α	α	PROPN
ejpam-3196	256	52	k	k	PROPN
ejpam-3196	256	53	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	256	54	)	)	PUNCT
ejpam-3196	256	55	,	,	PUNCT
ejpam-3196	256	56	ϕ(a),m)(pα	ϕ(a),m)(pα	X
ejpam-3196	256	57	k	k	X
ejpam-3196	257	1	+	+	CCONJ
ejpam-3196	257	2	1	1	NUM
ejpam-3196	257	3	)	)	SYM
ejpam-3196	257	4	1	1	NUM
ejpam-3196	257	5	/	/	SYM
ejpam-3196	257	6	p	p	X
ejpam-3196	257	7	β	β	X
ejpam-3196	257	8	1	1	NUM
ejpam-3196	257	9	q	q	NOUN
ejpam-3196	257	10	(	(	PUNCT
ejpam-3196	257	11	1	1	NUM
ejpam-3196	257	12	+	+	SYM
ejpam-3196	257	13	1	1	NUM
ejpam-3196	257	14	r	r	NOUN
ejpam-3196	257	15	,	,	PUNCT
ejpam-3196	257	16	1	1	NUM
ejpam-3196	257	17	+	+	SYM
ejpam-3196	257	18	1	1	NUM
ejpam-3196	257	19	r	r	NOUN
ejpam-3196	257	20	)	)	PUNCT
ejpam-3196	257	21	.	.	PUNCT
ejpam-3196	258	1	(	(	PUNCT
ejpam-3196	258	2	25	25	NUM
ejpam-3196	258	3	)	)	PUNCT
ejpam-3196	258	4	corollary	corollary	ADJ
ejpam-3196	258	5	7	7	NUM
ejpam-3196	258	6	.	.	PUNCT
ejpam-3196	258	7	in	in	ADP
ejpam-3196	258	8	theorem	theorem	NOUN
ejpam-3196	258	9	3	3	NUM
ejpam-3196	258	10	for	for	ADP
ejpam-3196	258	11	h1(t	h1(t	PRON
ejpam-3196	258	12	)	)	PUNCT
ejpam-3196	258	13	=	=	SYM
ejpam-3196	259	1	√	√	PROPN
ejpam-3196	259	2	1−	1−	NUM
ejpam-3196	259	3	t	t	PROPN
ejpam-3196	259	4	2	2	NUM
ejpam-3196	259	5	√	√	PROPN
ejpam-3196	259	6	t	t	PROPN
ejpam-3196	259	7	,	,	PUNCT
ejpam-3196	259	8	h2(t	h2(t	X
ejpam-3196	259	9	)	)	PUNCT
ejpam-3196	259	10	=	=	PUNCT
ejpam-3196	260	1	√	√	PROPN
ejpam-3196	260	2	t	t	NOUN
ejpam-3196	260	3	2	2	NUM
ejpam-3196	260	4	√	√	PROPN
ejpam-3196	260	5	1−	1−	NUM
ejpam-3196	260	6	t	t	PROPN
ejpam-3196	260	7	and	and	CCONJ
ejpam-3196	260	8	f	f	PROPN
ejpam-3196	260	9	′(x	′(x	PROPN
ejpam-3196	260	10	)	)	PUNCT
ejpam-3196	260	11	≤	≤	PUNCT
ejpam-3196	261	1	k	k	X
ejpam-3196	261	2	,	,	PUNCT
ejpam-3196	261	3	∀x	∀x	X
ejpam-3196	261	4	∈	∈	PROPN
ejpam-3196	262	1	i	i	PRON
ejpam-3196	262	2	,	,	PUNCT
ejpam-3196	262	3	we	we	PRON
ejpam-3196	262	4	get	get	VERB
ejpam-3196	262	5	the	the	DET
ejpam-3196	262	6	following	follow	VERB
ejpam-3196	262	7	hermite	hermite	ADJ
ejpam-3196	262	8	-	-	PUNCT
ejpam-3196	262	9	hadamard	hadamard	ADJ
ejpam-3196	262	10	-	-	PUNCT
ejpam-3196	262	11	fejér	fejér	NOUN
ejpam-3196	262	12	type	type	NOUN
ejpam-3196	262	13	inequality	inequality	NOUN
ejpam-3196	262	14	for	for	ADP
ejpam-3196	262	15	generalized	generalized	ADJ
ejpam-3196	262	16	relative	relative	ADJ
ejpam-3196	262	17	semi(r;m)-mt	semi(r;m)-mt	NOUN
ejpam-3196	262	18	-preinvex	-preinvex	NOUN
ejpam-3196	262	19	mappings	mapping	NOUN
ejpam-3196	262	20	via	via	ADP
ejpam-3196	262	21	k	k	ADJ
ejpam-3196	262	22	-	-	PUNCT
ejpam-3196	262	23	fractional	fractional	ADJ
ejpam-3196	262	24	integrals	integral	NOUN
ejpam-3196	262	25	:	:	PUNCT
ejpam-3196	262	26	∣∣if	∣∣if	ADJ
ejpam-3196	262	27	,	,	PUNCT
ejpam-3196	262	28	g	g	NOUN
ejpam-3196	262	29	,	,	PUNCT
ejpam-3196	262	30	η,ϕ(α	η,ϕ(α	X
ejpam-3196	262	31	,	,	PUNCT
ejpam-3196	262	32	k	k	PROPN
ejpam-3196	262	33	,	,	PUNCT
ejpam-3196	262	34	m	m	PROPN
ejpam-3196	262	35	,	,	PUNCT
ejpam-3196	262	36	a	a	DET
ejpam-3196	262	37	,	,	PUNCT
ejpam-3196	262	38	b	b	NOUN
ejpam-3196	262	39	)	)	PUNCT
ejpam-3196	262	40	∣∣	∣∣	NUM
ejpam-3196	262	41	≤	≤	NUM
ejpam-3196	262	42	2	2	NUM
ejpam-3196	262	43	1−	1−	NUM
ejpam-3196	262	44	1	1	NUM
ejpam-3196	262	45	rqk(m+	rqk(m+	NOUN
ejpam-3196	262	46	1	1	NUM
ejpam-3196	262	47	)	)	PUNCT
ejpam-3196	262	48	1	1	NUM
ejpam-3196	262	49	rq	rq	NOUN
ejpam-3196	262	50	‖g‖	‖g‖	VERB
ejpam-3196	262	51	α	α	PRON
ejpam-3196	262	52	k∞η	k∞η	NOUN
ejpam-3196	262	53	α	α	PROPN
ejpam-3196	262	54	k	k	PROPN
ejpam-3196	262	55	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	262	56	)	)	PUNCT
ejpam-3196	262	57	,	,	PUNCT
ejpam-3196	262	58	ϕ(a),m)(pα	ϕ(a),m)(pα	X
ejpam-3196	262	59	k	k	X
ejpam-3196	263	1	+	+	CCONJ
ejpam-3196	263	2	1	1	NUM
ejpam-3196	263	3	)	)	SYM
ejpam-3196	263	4	1	1	NUM
ejpam-3196	263	5	/	/	SYM
ejpam-3196	263	6	p	p	X
ejpam-3196	263	7	β	β	X
ejpam-3196	263	8	1	1	NUM
ejpam-3196	263	9	q	q	NOUN
ejpam-3196	263	10	(	(	PUNCT
ejpam-3196	263	11	1−	1−	NUM
ejpam-3196	263	12	1	1	NUM
ejpam-3196	263	13	2r	2r	NUM
ejpam-3196	263	14	,	,	PUNCT
ejpam-3196	263	15	1	1	NUM
ejpam-3196	263	16	+	+	SYM
ejpam-3196	263	17	1	1	NUM
ejpam-3196	263	18	2r	2r	NUM
ejpam-3196	263	19	)	)	PUNCT
ejpam-3196	263	20	.	.	PUNCT
ejpam-3196	264	1	(	(	PUNCT
ejpam-3196	264	2	26	26	NUM
ejpam-3196	264	3	)	)	PUNCT
ejpam-3196	264	4	theorem	theorem	NOUN
ejpam-3196	264	5	4	4	NUM
ejpam-3196	264	6	.	.	PUNCT
ejpam-3196	265	1	let	let	VERB
ejpam-3196	265	2	α	α	PRON
ejpam-3196	265	3	,	,	PUNCT
ejpam-3196	265	4	k	k	PROPN
ejpam-3196	265	5	>	>	X
ejpam-3196	265	6	0	0	PUNCT
ejpam-3196	266	1	and	and	CCONJ
ejpam-3196	266	2	0	0	NUM
ejpam-3196	266	3	<	<	X
ejpam-3196	266	4	r	r	NOUN
ejpam-3196	266	5	≤	≤	NUM
ejpam-3196	266	6	1	1	NUM
ejpam-3196	266	7	.	.	PUNCT
ejpam-3196	266	8	suppose	suppose	VERB
ejpam-3196	266	9	k	k	PROPN
ejpam-3196	267	1	=	=	PUNCT
ejpam-3196	268	1	[	[	X
ejpam-3196	268	2	mϕ(a),mϕ(a)+η(ϕ(b	mϕ(a),mϕ(a)+η(ϕ(b	X
ejpam-3196	268	3	)	)	PUNCT
ejpam-3196	268	4	,	,	PUNCT
ejpam-3196	268	5	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	268	6	)	)	PUNCT
ejpam-3196	268	7	]	]	PUNCT
ejpam-3196	269	1	⊆	⊆	NUM
ejpam-3196	269	2	r	r	NOUN
ejpam-3196	269	3	be	be	VERB
ejpam-3196	269	4	an	an	DET
ejpam-3196	269	5	open	open	ADJ
ejpam-3196	269	6	nonempty	nonempty	ADJ
ejpam-3196	269	7	m	m	NOUN
ejpam-3196	269	8	-	-	PUNCT
ejpam-3196	269	9	invex	invex	NOUN
ejpam-3196	269	10	subset	subset	VERB
ejpam-3196	269	11	with	with	ADP
ejpam-3196	269	12	respect	respect	NOUN
ejpam-3196	269	13	to	to	ADP
ejpam-3196	269	14	η	η	PROPN
ejpam-3196	269	15	:	:	PUNCT
ejpam-3196	269	16	k	k	PROPN
ejpam-3196	269	17	×	×	PROPN
ejpam-3196	269	18	k	k	PROPN
ejpam-3196	269	19	×	×	PROPN
ejpam-3196	269	20	(	(	PUNCT
ejpam-3196	269	21	0	0	NUM
ejpam-3196	269	22	,	,	PUNCT
ejpam-3196	269	23	1	1	NUM
ejpam-3196	269	24	]	]	X
ejpam-3196	269	25	−→	−→	ADJ
ejpam-3196	269	26	r	r	NOUN
ejpam-3196	269	27	for	for	ADP
ejpam-3196	269	28	some	some	DET
ejpam-3196	269	29	fixed	fix	VERB
ejpam-3196	269	30	m	m	VERB
ejpam-3196	269	31	∈	∈	NOUN
ejpam-3196	269	32	(	(	PUNCT
ejpam-3196	269	33	0	0	NUM
ejpam-3196	269	34	,	,	PUNCT
ejpam-3196	269	35	1	1	NUM
ejpam-3196	269	36	]	]	PUNCT
ejpam-3196	269	37	,	,	PUNCT
ejpam-3196	269	38	where	where	SCONJ
ejpam-3196	269	39	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3196	269	40	)	)	PUNCT
ejpam-3196	269	41	,	,	PUNCT
ejpam-3196	269	42	ϕ(a),m	ϕ(a),m	PROPN
ejpam-3196	269	43	)	)	PUNCT
ejpam-3196	269	44	>	>	X
ejpam-3196	270	1	0	0	X
ejpam-3196	270	2	.	.	PUNCT
ejpam-3196	271	1	also	also	ADV
ejpam-3196	271	2	,	,	PUNCT
ejpam-3196	271	3	let	let	VERB
ejpam-3196	271	4	h1	h1	VERB
ejpam-3196	271	5	,	,	PUNCT
ejpam-3196	271	6	h2	h2	NOUN
ejpam-3196	271	7	:	:	PUNCT
ejpam-3196	272	1	[	[	X
ejpam-3196	272	2	0	0	NUM
ejpam-3196	272	3	,	,	PUNCT
ejpam-3196	272	4	1	1	NUM
ejpam-3196	272	5	]	]	X
ejpam-3196	272	6	−→	−→	NOUN
ejpam-3196	272	7	[	[	X
ejpam-3196	272	8	0,+∞	0,+∞	NUM
ejpam-3196	272	9	)	)	PUNCT
ejpam-3196	272	10	,	,	PUNCT
ejpam-3196	272	11	ϕ	ϕ	NOUN
ejpam-3196	272	12	:	:	PUNCT
ejpam-3196	272	13	i	i	PRON
ejpam-3196	272	14	−→	−→	VERB
ejpam-3196	272	15	k	k	PROPN
ejpam-3196	272	16	and	and	CCONJ
ejpam-3196	272	17	g	g	NOUN
ejpam-3196	272	18	:	:	PUNCT
ejpam-3196	272	19	k	k	X
ejpam-3196	273	1	−→	−→	NOUN
ejpam-3196	273	2	r	r	NOUN
ejpam-3196	273	3	are	be	AUX
ejpam-3196	273	4	continuous	continuous	ADJ
ejpam-3196	273	5	.	.	PUNCT
ejpam-3196	274	1	assume	assume	VERB
ejpam-3196	274	2	that	that	SCONJ
ejpam-3196	274	3	f	f	X
ejpam-3196	274	4	:	:	PUNCT
ejpam-3196	274	5	k	k	X
ejpam-3196	274	6	−→	−→	NOUN
ejpam-3196	274	7	(	(	PUNCT
ejpam-3196	274	8	0,+∞	0,+∞	NUM
ejpam-3196	274	9	)	)	PUNCT
ejpam-3196	274	10	be	be	AUX
ejpam-3196	274	11	a	a	DET
ejpam-3196	274	12	differentiable	differentiable	ADJ
ejpam-3196	274	13	mapping	mapping	NOUN
ejpam-3196	274	14	on	on	ADP
ejpam-3196	274	15	k	k	NOUN
ejpam-3196	274	16	◦	◦	NOUN
ejpam-3196	274	17	such	such	ADJ
ejpam-3196	274	18	that	that	SCONJ
ejpam-3196	274	19	f	f	PROPN
ejpam-3196	274	20	′	′	NUM
ejpam-3196	274	21	∈	∈	PROPN
ejpam-3196	274	22	l1(k	l1(k	NOUN
ejpam-3196	274	23	)	)	PUNCT
ejpam-3196	274	24	.	.	PUNCT
ejpam-3196	275	1	if	if	SCONJ
ejpam-3196	275	2	(	(	PUNCT
ejpam-3196	275	3	f	f	PROPN
ejpam-3196	275	4	′(x))q	′(x))q	PROPN
ejpam-3196	275	5	is	be	AUX
ejpam-3196	275	6	generalized	generalized	ADJ
ejpam-3196	275	7	relative	relative	ADJ
ejpam-3196	275	8	semi-(r;m	semi-(r;m	PROPN
ejpam-3196	275	9	,	,	PUNCT
ejpam-3196	275	10	h1	h1	NOUN
ejpam-3196	275	11	,	,	PUNCT
ejpam-3196	275	12	h2)-preinvex	h2)-preinvex	PROPN
ejpam-3196	275	13	mapping	mapping	NOUN
ejpam-3196	275	14	,	,	PUNCT
ejpam-3196	275	15	q	q	X
ejpam-3196	275	16	≥	≥	NOUN
ejpam-3196	275	17	1	1	NUM
ejpam-3196	275	18	and	and	CCONJ
ejpam-3196	275	19	‖g‖∞	‖g‖∞	PROPN
ejpam-3196	275	20	=	=	SYM
ejpam-3196	275	21	sup	sup	PROPN
ejpam-3196	275	22	|g(t)|	|g(t)|	ADV
ejpam-3196	275	23	,	,	PUNCT
ejpam-3196	275	24	then	then	ADV
ejpam-3196	275	25	the	the	DET
ejpam-3196	275	26	following	follow	VERB
ejpam-3196	275	27	inequality	inequality	NOUN
ejpam-3196	275	28	for	for	ADP
ejpam-3196	275	29	k	k	ADJ
ejpam-3196	275	30	-	-	PUNCT
ejpam-3196	275	31	fractional	fractional	ADJ
ejpam-3196	275	32	integrals	integral	NOUN
ejpam-3196	275	33	holds	hold	VERB
ejpam-3196	275	34	:	:	PUNCT
ejpam-3196	275	35	∣∣if	∣∣if	ADJ
ejpam-3196	275	36	,	,	PUNCT
ejpam-3196	275	37	g	g	NOUN
ejpam-3196	275	38	,	,	PUNCT
ejpam-3196	275	39	η,ϕ(α	η,ϕ(α	X
ejpam-3196	275	40	,	,	PUNCT
ejpam-3196	275	41	k	k	PROPN
ejpam-3196	275	42	,	,	PUNCT
ejpam-3196	275	43	m	m	PROPN
ejpam-3196	275	44	,	,	PUNCT
ejpam-3196	275	45	a	a	DET
ejpam-3196	275	46	,	,	PUNCT
ejpam-3196	275	47	b	b	NOUN
ejpam-3196	275	48	)	)	PUNCT
ejpam-3196	275	49	∣∣	∣∣	PROPN
ejpam-3196	275	50	≤	≤	NOUN
ejpam-3196	275	51	‖g‖αk∞η	‖g‖αk∞η	ADP
ejpam-3196	275	52	αk+1(ϕ(b	αk+1(ϕ(b	ADJ
ejpam-3196	275	53	)	)	PUNCT
ejpam-3196	275	54	,	,	PUNCT
ejpam-3196	275	55	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	275	56	)	)	PUNCT
ejpam-3196	275	57	(	(	PUNCT
ejpam-3196	275	58	α	α	NOUN
ejpam-3196	275	59	k	k	PROPN
ejpam-3196	276	1	+	+	PROPN
ejpam-3196	276	2	1	1	NUM
ejpam-3196	276	3	)	)	PUNCT
ejpam-3196	276	4	1−	1−	NUM
ejpam-3196	276	5	1	1	NUM
ejpam-3196	276	6	q	q	NOUN
ejpam-3196	276	7	×	×	NOUN
ejpam-3196	276	8	{	{	PUNCT
ejpam-3196	276	9	[	[	PUNCT
ejpam-3196	276	10	m(f	m(f	NOUN
ejpam-3196	276	11	′(a))rqir(h1(t);α	′(a))rqir(h1(t);α	PROPN
ejpam-3196	276	12	,	,	PUNCT
ejpam-3196	276	13	k	k	NOUN
ejpam-3196	276	14	,	,	PUNCT
ejpam-3196	276	15	r	r	NOUN
ejpam-3196	276	16	)	)	PUNCT
ejpam-3196	276	17	+	+	CCONJ
ejpam-3196	276	18	(	(	PUNCT
ejpam-3196	276	19	f	f	PROPN
ejpam-3196	276	20	′(b))rqir(h2(t);α	′(b))rqir(h2(t);α	PROPN
ejpam-3196	276	21	,	,	PUNCT
ejpam-3196	276	22	k	k	NOUN
ejpam-3196	276	23	,	,	PUNCT
ejpam-3196	276	24	r	r	NOUN
ejpam-3196	276	25	)	)	PUNCT
ejpam-3196	276	26	]	]	PUNCT
ejpam-3196	276	27	1	1	NUM
ejpam-3196	276	28	rq	rq	NOUN
ejpam-3196	276	29	+	+	X
ejpam-3196	276	30	[	[	PUNCT
ejpam-3196	276	31	m(f	m(f	NOUN
ejpam-3196	276	32	′(a))rqi	′(a))rqi	NOUN
ejpam-3196	276	33	r	r	NOUN
ejpam-3196	276	34	(	(	PUNCT
ejpam-3196	276	35	h1(t);α	h1(t);α	PROPN
ejpam-3196	276	36	,	,	PUNCT
ejpam-3196	276	37	k	k	NOUN
ejpam-3196	276	38	,	,	PUNCT
ejpam-3196	276	39	r	r	NOUN
ejpam-3196	276	40	)	)	PUNCT
ejpam-3196	277	1	+	+	CCONJ
ejpam-3196	277	2	(	(	PUNCT
ejpam-3196	277	3	f	f	X
ejpam-3196	277	4	′(b))rqi	′(b))rqi	PROPN
ejpam-3196	277	5	r	r	NOUN
ejpam-3196	277	6	(	(	PUNCT
ejpam-3196	277	7	h2(t);α	h2(t);α	PROPN
ejpam-3196	277	8	,	,	PUNCT
ejpam-3196	277	9	k	k	NOUN
ejpam-3196	277	10	,	,	PUNCT
ejpam-3196	277	11	r	r	NOUN
ejpam-3196	277	12	)	)	PUNCT
ejpam-3196	277	13	]	]	PUNCT
ejpam-3196	277	14	1	1	NUM
ejpam-3196	277	15	rq	rq	NOUN
ejpam-3196	277	16	}	}	PUNCT
ejpam-3196	277	17	,	,	PUNCT
ejpam-3196	277	18	(	(	PUNCT
ejpam-3196	277	19	27	27	NUM
ejpam-3196	277	20	)	)	PUNCT
ejpam-3196	277	21	where	where	SCONJ
ejpam-3196	277	22	i(hi(t);α	i(hi(t);α	NOUN
ejpam-3196	277	23	,	,	PUNCT
ejpam-3196	277	24	k	k	PROPN
ejpam-3196	277	25	,	,	PUNCT
ejpam-3196	277	26	r	r	NOUN
ejpam-3196	277	27	)	)	PUNCT
ejpam-3196	277	28	:	:	PUNCT
ejpam-3196	278	1	=	=	SYM
ejpam-3196	278	2	∫	∫	PROPN
ejpam-3196	278	3	1	1	NUM
ejpam-3196	278	4	0	0	NUM
ejpam-3196	278	5	t	t	PROPN
ejpam-3196	278	6	α	α	X
ejpam-3196	278	7	k	k	PROPN
ejpam-3196	278	8	h	h	NOUN
ejpam-3196	279	1	1	1	NUM
ejpam-3196	279	2	r	r	NOUN
ejpam-3196	279	3	i	i	PRON
ejpam-3196	279	4	(	(	PUNCT
ejpam-3196	279	5	t)dt	t)dt	PROPN
ejpam-3196	279	6	,	,	PUNCT
ejpam-3196	279	7	i(hi(t);α	i(hi(t);α	NOUN
ejpam-3196	279	8	,	,	PUNCT
ejpam-3196	279	9	k	k	NOUN
ejpam-3196	279	10	,	,	PUNCT
ejpam-3196	279	11	r	r	NOUN
ejpam-3196	279	12	)	)	PUNCT
ejpam-3196	279	13	:	:	PUNCT
ejpam-3196	280	1	=	=	SYM
ejpam-3196	280	2	∫	∫	PROPN
ejpam-3196	280	3	1	1	NUM
ejpam-3196	280	4	0	0	NUM
ejpam-3196	280	5	(	(	PUNCT
ejpam-3196	280	6	1−	1−	NUM
ejpam-3196	280	7	t	t	PROPN
ejpam-3196	280	8	)	)	PUNCT
ejpam-3196	280	9	α	α	PROPN
ejpam-3196	280	10	k	k	NOUN
ejpam-3196	281	1	h	h	NOUN
ejpam-3196	282	1	1	1	NUM
ejpam-3196	282	2	r	r	NOUN
ejpam-3196	282	3	i	i	PRON
ejpam-3196	282	4	(	(	PUNCT
ejpam-3196	282	5	t)dt	t)dt	PROPN
ejpam-3196	282	6	,	,	PUNCT
ejpam-3196	282	7	∀	∀	X
ejpam-3196	282	8	i	i	NOUN
ejpam-3196	282	9	=	=	NOUN
ejpam-3196	282	10	1	1	NUM
ejpam-3196	282	11	,	,	PUNCT
ejpam-3196	282	12	2	2	NUM
ejpam-3196	282	13	.	.	PUNCT
ejpam-3196	282	14	m.	m.	NOUN
ejpam-3196	282	15	ramosaçaj	ramosaçaj	PROPN
ejpam-3196	282	16	,	,	PUNCT
ejpam-3196	282	17	a.	a.	NOUN
ejpam-3196	282	18	kashuri	kashuri	PROPN
ejpam-3196	282	19	,	,	PUNCT
ejpam-3196	282	20	r.	r.	PROPN
ejpam-3196	282	21	liko	liko	PROPN
ejpam-3196	282	22	/	/	SYM
ejpam-3196	282	23	eur	eur	PROPN
ejpam-3196	282	24	.	.	PUNCT
ejpam-3196	283	1	j.	j.	PROPN
ejpam-3196	283	2	pure	pure	PROPN
ejpam-3196	283	3	appl	appl	PROPN
ejpam-3196	283	4	.	.	PROPN
ejpam-3196	283	5	math	math	PROPN
ejpam-3196	283	6	,	,	PUNCT
ejpam-3196	283	7	11	11	NUM
ejpam-3196	283	8	(	(	PUNCT
ejpam-3196	283	9	1	1	NUM
ejpam-3196	283	10	)	)	PUNCT
ejpam-3196	283	11	(	(	PUNCT
ejpam-3196	283	12	2018	2018	NUM
ejpam-3196	283	13	)	)	PUNCT
ejpam-3196	283	14	,	,	PUNCT
ejpam-3196	283	15	51	51	NUM
ejpam-3196	283	16	-	-	SYM
ejpam-3196	283	17	68	68	NUM
ejpam-3196	283	18	61	61	NUM
ejpam-3196	283	19	proof	proof	NOUN
ejpam-3196	283	20	.	.	PUNCT
ejpam-3196	283	21	suppose	suppose	VERB
ejpam-3196	283	22	that	that	SCONJ
ejpam-3196	283	23	q	q	PROPN
ejpam-3196	283	24	≥	≥	NUM
ejpam-3196	283	25	1	1	NUM
ejpam-3196	283	26	and	and	CCONJ
ejpam-3196	283	27	0	0	NUM
ejpam-3196	283	28	<	<	X
ejpam-3196	283	29	r	r	NOUN
ejpam-3196	283	30	≤	≤	NUM
ejpam-3196	283	31	1	1	NUM
ejpam-3196	283	32	.	.	PUNCT
ejpam-3196	283	33	from	from	ADP
ejpam-3196	283	34	lemma	lemma	PROPN
ejpam-3196	283	35	1	1	NUM
ejpam-3196	283	36	,	,	PUNCT
ejpam-3196	283	37	generalized	generalized	ADJ
ejpam-3196	283	38	relative	relative	ADJ
ejpam-3196	283	39	semi(r;m	semi(r;m	NOUN
ejpam-3196	283	40	,	,	PUNCT
ejpam-3196	283	41	h1	h1	PROPN
ejpam-3196	283	42	,	,	PUNCT
ejpam-3196	283	43	h2)-preinvexity	h2)-preinvexity	PROPN
ejpam-3196	283	44	of	of	ADP
ejpam-3196	283	45	(	(	PUNCT
ejpam-3196	283	46	f	f	PROPN
ejpam-3196	283	47	′(x))q	′(x))q	PROPN
ejpam-3196	283	48	,	,	PUNCT
ejpam-3196	283	49	the	the	DET
ejpam-3196	283	50	well	well	ADV
ejpam-3196	283	51	-	-	PUNCT
ejpam-3196	283	52	known	know	VERB
ejpam-3196	283	53	power	power	NOUN
ejpam-3196	283	54	mean	mean	NOUN
ejpam-3196	283	55	inequality	inequality	NOUN
ejpam-3196	283	56	,	,	PUNCT
ejpam-3196	283	57	minkowski	minkowski	ADJ
ejpam-3196	283	58	inequality	inequality	NOUN
ejpam-3196	283	59	,	,	PUNCT
ejpam-3196	283	60	properties	property	NOUN
ejpam-3196	283	61	of	of	ADP
ejpam-3196	283	62	the	the	DET
ejpam-3196	283	63	modulus	modulus	NOUN
ejpam-3196	283	64	,	,	PUNCT
ejpam-3196	283	65	the	the	DET
ejpam-3196	283	66	fact	fact	NOUN
ejpam-3196	283	67	g(t	g(t	PROPN
ejpam-3196	283	68	)	)	PUNCT
ejpam-3196	283	69	≤	≤	PUNCT
ejpam-3196	283	70	‖g‖∞	‖g‖∞	PUNCT
ejpam-3196	283	71	and	and	CCONJ
ejpam-3196	283	72	changing	change	VERB
ejpam-3196	283	73	the	the	DET
ejpam-3196	283	74	variable	variable	ADJ
ejpam-3196	283	75	t	t	NOUN
ejpam-3196	283	76	=	=	SYM
ejpam-3196	283	77	mϕ(a	mϕ(a	NOUN
ejpam-3196	283	78	)	)	PUNCT
ejpam-3196	283	79	+	+	NUM
ejpam-3196	283	80	xη(ϕ(b	xη(ϕ(b	NUM
ejpam-3196	283	81	)	)	PUNCT
ejpam-3196	283	82	,	,	PUNCT
ejpam-3196	283	83	ϕ(a),m	ϕ(a),m	PROPN
ejpam-3196	283	84	)	)	PUNCT
ejpam-3196	283	85	,	,	PUNCT
ejpam-3196	283	86	we	we	PRON
ejpam-3196	283	87	have	have	VERB
ejpam-3196	283	88	∣∣if	∣∣if	NOUN
ejpam-3196	283	89	,	,	PUNCT
ejpam-3196	283	90	g	g	NOUN
ejpam-3196	283	91	,	,	PUNCT
ejpam-3196	283	92	η,ϕ(α	η,ϕ(α	X
ejpam-3196	283	93	,	,	PUNCT
ejpam-3196	283	94	k	k	PROPN
ejpam-3196	283	95	,	,	PUNCT
ejpam-3196	283	96	m	m	PROPN
ejpam-3196	283	97	,	,	PUNCT
ejpam-3196	283	98	a	a	DET
ejpam-3196	283	99	,	,	PUNCT
ejpam-3196	283	100	b	b	NOUN
ejpam-3196	283	101	)	)	PUNCT
ejpam-3196	283	102	∣∣	∣∣	PROPN
ejpam-3196	284	1	≤	≤	NUM
ejpam-3196	284	2	∫	∫	PROPN
ejpam-3196	284	3	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	SYM
ejpam-3196	284	4	)	)	PUNCT
ejpam-3196	284	5	mϕ(a	mϕ(a	NOUN
ejpam-3196	284	6	)	)	PUNCT
ejpam-3196	284	7	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3196	284	8	∫	∫	PROPN
ejpam-3196	284	9	t	t	PROPN
ejpam-3196	284	10	mϕ(a	mϕ(a	NOUN
ejpam-3196	284	11	)	)	PUNCT
ejpam-3196	284	12	g(s)ds	g(s)ds	NOUN
ejpam-3196	285	1	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-3196	285	2	α	α	PROPN
ejpam-3196	286	1	k	k	PROPN
ejpam-3196	286	2	|f	|f	PROPN
ejpam-3196	287	1	′(t)|dt	′(t)|dt	PROPN
ejpam-3196	287	2	+	+	CCONJ
ejpam-3196	287	3	∫	∫	PROPN
ejpam-3196	287	4	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PRON
ejpam-3196	287	5	)	)	PUNCT
ejpam-3196	287	6	mϕ(a	mϕ(a	NOUN
ejpam-3196	287	7	)	)	PUNCT
ejpam-3196	287	8	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3196	287	9	∫	∫	PROPN
ejpam-3196	287	10	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	287	11	)	)	PUNCT
ejpam-3196	287	12	t	t	PROPN
ejpam-3196	287	13	g(s)ds	g(s)ds	PROPN
ejpam-3196	288	1	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-3196	289	1	α	α	PROPN
ejpam-3196	290	1	k	k	NOUN
ejpam-3196	290	2	|f	|f	PROPN
ejpam-3196	290	3	′(t)|dt	′(t)|dt	PROPN
ejpam-3196	290	4	≤	≤	ADJ
ejpam-3196	290	5	∫	∫	NUM
ejpam-3196	290	6	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	NOUN
ejpam-3196	290	7	)	)	PUNCT
ejpam-3196	290	8	mϕ(a	mϕ(a	NOUN
ejpam-3196	290	9	)	)	PUNCT
ejpam-3196	290	10	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3196	290	11	∫	∫	PROPN
ejpam-3196	290	12	t	t	PROPN
ejpam-3196	290	13	mϕ(a	mϕ(a	NOUN
ejpam-3196	290	14	)	)	PUNCT
ejpam-3196	290	15	g(s)ds	g(s)ds	NOUN
ejpam-3196	291	1	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-3196	291	2	α	α	PRON
ejpam-3196	291	3	k	k	NOUN
ejpam-3196	292	1	dt	dt	X
ejpam-3196	292	2	1−	1−	INTJ
ejpam-3196	293	1	1	1	NUM
ejpam-3196	293	2	q	q	NOUN
ejpam-3196	293	3	×	×	PROPN
ejpam-3196	293	4	∫	∫	NUM
ejpam-3196	293	5	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	NOUN
ejpam-3196	293	6	)	)	PUNCT
ejpam-3196	293	7	mϕ(a	mϕ(a	NOUN
ejpam-3196	293	8	)	)	PUNCT
ejpam-3196	293	9	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3196	293	10	∫	∫	PROPN
ejpam-3196	293	11	t	t	PROPN
ejpam-3196	293	12	mϕ(a	mϕ(a	NOUN
ejpam-3196	293	13	)	)	PUNCT
ejpam-3196	293	14	g(s)ds	g(s)ds	NOUN
ejpam-3196	294	1	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-3196	294	2	α	α	X
ejpam-3196	295	1	k	k	X
ejpam-3196	296	1	(	(	PUNCT
ejpam-3196	296	2	f	f	PROPN
ejpam-3196	296	3	′(t))qdt	′(t))qdt	NOUN
ejpam-3196	296	4			PROPN
ejpam-3196	296	5	1	1	NUM
ejpam-3196	296	6	q	q	NOUN
ejpam-3196	296	7	+	+	NUM
ejpam-3196	296	8	∫	∫	NUM
ejpam-3196	296	9	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	ADJ
ejpam-3196	296	10	)	)	PUNCT
ejpam-3196	296	11	mϕ(a	mϕ(a	NOUN
ejpam-3196	296	12	)	)	PUNCT
ejpam-3196	296	13	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3196	296	14	∫	∫	PROPN
ejpam-3196	296	15	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	296	16	)	)	PUNCT
ejpam-3196	296	17	t	t	PROPN
ejpam-3196	296	18	g(s)ds	g(s)ds	PROPN
ejpam-3196	296	19	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-3196	297	1	α	α	X
ejpam-3196	297	2	k	k	NOUN
ejpam-3196	298	1	dt	dt	X
ejpam-3196	298	2	1−	1−	INTJ
ejpam-3196	299	1	1	1	NUM
ejpam-3196	299	2	q	q	NOUN
ejpam-3196	299	3	×	×	PROPN
ejpam-3196	299	4	∫	∫	NUM
ejpam-3196	299	5	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	NOUN
ejpam-3196	299	6	)	)	PUNCT
ejpam-3196	299	7	mϕ(a	mϕ(a	NOUN
ejpam-3196	299	8	)	)	PUNCT
ejpam-3196	299	9	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3196	299	10	∫	∫	PROPN
ejpam-3196	299	11	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3196	299	12	)	)	PUNCT
ejpam-3196	299	13	t	t	PROPN
ejpam-3196	299	14	g(s)ds	g(s)ds	PROPN
ejpam-3196	299	15	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-3196	300	1	α	α	PROPN
ejpam-3196	300	2	k	k	X
ejpam-3196	300	3	(	(	PUNCT
ejpam-3196	300	4	f	f	PROPN
ejpam-3196	300	5	′(t))qdt	′(t))qdt	NOUN
ejpam-3196	300	6			PROPN
ejpam-3196	300	7	1	1	NUM
ejpam-3196	300	8	q	q	NOUN
ejpam-3196	300	9	≤	≤	X
ejpam-3196	300	10	‖g‖	‖g‖	VERB
ejpam-3196	300	11	α	α	NOUN
ejpam-3196	300	12	k∞η	k∞η	NOUN
ejpam-3196	300	13	α	α	PROPN
ejpam-3196	300	14	k	k	PROPN
ejpam-3196	300	15	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	300	16	)	)	PUNCT
ejpam-3196	300	17	,	,	PUNCT
ejpam-3196	300	18	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	300	19	)	)	PUNCT
ejpam-3196	300	20	(	(	PUNCT
ejpam-3196	300	21	α	α	NOUN
ejpam-3196	300	22	k	k	PROPN
ejpam-3196	301	1	+	+	PROPN
ejpam-3196	301	2	1	1	NUM
ejpam-3196	301	3	)	)	PUNCT
ejpam-3196	301	4	1−	1−	NUM
ejpam-3196	301	5	1	1	NUM
ejpam-3196	301	6	q	q	NOUN
ejpam-3196	301	7	×	×	NOUN
ejpam-3196	301	8	{	{	PUNCT
ejpam-3196	301	9	[	[	X
ejpam-3196	301	10	∫	∫	PROPN
ejpam-3196	301	11	1	1	NUM
ejpam-3196	301	12	0	0	NUM
ejpam-3196	301	13	t	t	PROPN
ejpam-3196	301	14	α	α	X
ejpam-3196	301	15	k	k	PROPN
ejpam-3196	301	16	(	(	PUNCT
ejpam-3196	301	17	f	f	PROPN
ejpam-3196	301	18	′(mϕ(a	′(mϕ(a	PROPN
ejpam-3196	301	19	)	)	PUNCT
ejpam-3196	301	20	+	+	CCONJ
ejpam-3196	301	21	tη(ϕ(b	tη(ϕ(b	NUM
ejpam-3196	301	22	)	)	PUNCT
ejpam-3196	301	23	,	,	PUNCT
ejpam-3196	301	24	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	301	25	)	)	PUNCT
ejpam-3196	301	26	)	)	PUNCT
ejpam-3196	301	27	)	)	PUNCT
ejpam-3196	301	28	q	q	X
ejpam-3196	302	1	dt	dt	X
ejpam-3196	302	2	]	]	PUNCT
ejpam-3196	302	3	1	1	NUM
ejpam-3196	302	4	q	q	NOUN
ejpam-3196	303	1	+	+	CCONJ
ejpam-3196	304	1	[	[	X
ejpam-3196	304	2	∫	∫	X
ejpam-3196	304	3	1	1	NUM
ejpam-3196	304	4	0	0	NUM
ejpam-3196	304	5	(	(	PUNCT
ejpam-3196	304	6	1−	1−	NUM
ejpam-3196	304	7	t	t	PROPN
ejpam-3196	304	8	)	)	PUNCT
ejpam-3196	304	9	α	α	PROPN
ejpam-3196	304	10	k	k	X
ejpam-3196	304	11	(	(	PUNCT
ejpam-3196	304	12	f	f	PROPN
ejpam-3196	304	13	′(mϕ(a	′(mϕ(a	PROPN
ejpam-3196	304	14	)	)	PUNCT
ejpam-3196	304	15	+	+	CCONJ
ejpam-3196	304	16	tη(ϕ(b	tη(ϕ(b	NUM
ejpam-3196	304	17	)	)	PUNCT
ejpam-3196	304	18	,	,	PUNCT
ejpam-3196	304	19	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	304	20	)	)	PUNCT
ejpam-3196	304	21	)	)	PUNCT
ejpam-3196	304	22	)	)	PUNCT
ejpam-3196	305	1	q	q	X
ejpam-3196	305	2	dt	dt	X
ejpam-3196	305	3	]	]	X
ejpam-3196	305	4	1	1	NUM
ejpam-3196	305	5	q	q	NOUN
ejpam-3196	305	6	}	}	PUNCT
ejpam-3196	305	7	≤	≤	X
ejpam-3196	305	8	‖g‖	‖g‖	NUM
ejpam-3196	305	9	α	α	NOUN
ejpam-3196	305	10	k∞η	k∞η	NOUN
ejpam-3196	305	11	α	α	PROPN
ejpam-3196	305	12	k	k	PROPN
ejpam-3196	305	13	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	305	14	)	)	PUNCT
ejpam-3196	305	15	,	,	PUNCT
ejpam-3196	305	16	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	305	17	)	)	PUNCT
ejpam-3196	305	18	(	(	PUNCT
ejpam-3196	305	19	α	α	NOUN
ejpam-3196	305	20	k	k	PROPN
ejpam-3196	306	1	+	+	PROPN
ejpam-3196	306	2	1	1	NUM
ejpam-3196	306	3	)	)	PUNCT
ejpam-3196	306	4	1−	1−	NUM
ejpam-3196	306	5	1	1	NUM
ejpam-3196	306	6	q	q	NOUN
ejpam-3196	306	7	×	×	NOUN
ejpam-3196	306	8	{	{	PUNCT
ejpam-3196	306	9	[	[	X
ejpam-3196	306	10	∫	∫	PROPN
ejpam-3196	306	11	1	1	NUM
ejpam-3196	306	12	0	0	NUM
ejpam-3196	306	13	t	t	PROPN
ejpam-3196	306	14	α	α	X
ejpam-3196	306	15	k	k	X
ejpam-3196	307	1	[	[	PUNCT
ejpam-3196	307	2	mh1(t)(f	mh1(t)(f	DET
ejpam-3196	307	3	′(a))rq	′(a))rq	PROPN
ejpam-3196	307	4	+	+	NUM
ejpam-3196	307	5	h2(t)(f	h2(t)(f	PROPN
ejpam-3196	307	6	′(b))rq	′(b))rq	PROPN
ejpam-3196	307	7	]	]	PUNCT
ejpam-3196	307	8	1	1	NUM
ejpam-3196	307	9	r	r	NOUN
ejpam-3196	307	10	dt	dt	X
ejpam-3196	307	11	]	]	PUNCT
ejpam-3196	307	12	1	1	NUM
ejpam-3196	307	13	q	q	NOUN
ejpam-3196	307	14	m.	m.	NOUN
ejpam-3196	307	15	ramosaçaj	ramosaçaj	NOUN
ejpam-3196	307	16	,	,	PUNCT
ejpam-3196	307	17	a.	a.	NOUN
ejpam-3196	307	18	kashuri	kashuri	PROPN
ejpam-3196	307	19	,	,	PUNCT
ejpam-3196	307	20	r.	r.	PROPN
ejpam-3196	307	21	liko	liko	PROPN
ejpam-3196	307	22	/	/	SYM
ejpam-3196	307	23	eur	eur	PROPN
ejpam-3196	307	24	.	.	PUNCT
ejpam-3196	308	1	j.	j.	PROPN
ejpam-3196	308	2	pure	pure	PROPN
ejpam-3196	308	3	appl	appl	PROPN
ejpam-3196	308	4	.	.	PROPN
ejpam-3196	308	5	math	math	PROPN
ejpam-3196	308	6	,	,	PUNCT
ejpam-3196	308	7	11	11	NUM
ejpam-3196	308	8	(	(	PUNCT
ejpam-3196	308	9	1	1	NUM
ejpam-3196	308	10	)	)	PUNCT
ejpam-3196	308	11	(	(	PUNCT
ejpam-3196	308	12	2018	2018	NUM
ejpam-3196	308	13	)	)	PUNCT
ejpam-3196	308	14	,	,	PUNCT
ejpam-3196	308	15	51	51	NUM
ejpam-3196	308	16	-	-	SYM
ejpam-3196	308	17	68	68	NUM
ejpam-3196	308	18	62	62	NUM
ejpam-3196	308	19	+	+	CCONJ
ejpam-3196	309	1	[	[	X
ejpam-3196	309	2	∫	∫	X
ejpam-3196	309	3	1	1	NUM
ejpam-3196	309	4	0	0	NUM
ejpam-3196	309	5	(	(	PUNCT
ejpam-3196	309	6	1−	1−	NUM
ejpam-3196	309	7	t	t	PROPN
ejpam-3196	309	8	)	)	PUNCT
ejpam-3196	309	9	α	α	X
ejpam-3196	309	10	k	k	X
ejpam-3196	310	1	[	[	PUNCT
ejpam-3196	310	2	mh1(t)(f	mh1(t)(f	DET
ejpam-3196	310	3	′(a))rq	′(a))rq	PROPN
ejpam-3196	310	4	+	+	NUM
ejpam-3196	310	5	h2(t)(f	h2(t)(f	PROPN
ejpam-3196	310	6	′(b))rq	′(b))rq	PROPN
ejpam-3196	310	7	]	]	PUNCT
ejpam-3196	310	8	1	1	NUM
ejpam-3196	310	9	r	r	NOUN
ejpam-3196	310	10	dt	dt	X
ejpam-3196	310	11	]	]	PUNCT
ejpam-3196	310	12	1	1	NUM
ejpam-3196	310	13	q	q	NOUN
ejpam-3196	310	14	}	}	PUNCT
ejpam-3196	310	15	≤	≤	X
ejpam-3196	310	16	‖g‖	‖g‖	NUM
ejpam-3196	310	17	α	α	NOUN
ejpam-3196	310	18	k∞η	k∞η	NOUN
ejpam-3196	310	19	α	α	PROPN
ejpam-3196	310	20	k	k	PROPN
ejpam-3196	310	21	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	310	22	)	)	PUNCT
ejpam-3196	310	23	,	,	PUNCT
ejpam-3196	310	24	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	310	25	)	)	PUNCT
ejpam-3196	310	26	(	(	PUNCT
ejpam-3196	310	27	α	α	NOUN
ejpam-3196	310	28	k	k	PROPN
ejpam-3196	311	1	+	+	PROPN
ejpam-3196	311	2	1	1	NUM
ejpam-3196	311	3	)	)	PUNCT
ejpam-3196	311	4	1−	1−	NUM
ejpam-3196	311	5	1	1	NUM
ejpam-3196	311	6	q	q	NOUN
ejpam-3196	311	7	×	×	NOUN
ejpam-3196	311	8	{	{	PUNCT
ejpam-3196	311	9	[	[	X
ejpam-3196	311	10	(	(	PUNCT
ejpam-3196	311	11	∫	∫	PROPN
ejpam-3196	311	12	1	1	NUM
ejpam-3196	311	13	0	0	NUM
ejpam-3196	311	14	m	m	VERB
ejpam-3196	311	15	1	1	NUM
ejpam-3196	311	16	r	r	NOUN
ejpam-3196	311	17	(	(	PUNCT
ejpam-3196	311	18	f	f	NOUN
ejpam-3196	311	19	′(a))qt	′(a))qt	PROPN
ejpam-3196	311	20	α	α	PROPN
ejpam-3196	312	1	k	k	NOUN
ejpam-3196	312	2	h	h	NOUN
ejpam-3196	313	1	1	1	NUM
ejpam-3196	313	2	r	r	NOUN
ejpam-3196	313	3	1	1	NUM
ejpam-3196	313	4	(	(	PUNCT
ejpam-3196	313	5	t)dt	t)dt	PROPN
ejpam-3196	313	6	)	)	PUNCT
ejpam-3196	313	7	r	r	NOUN
ejpam-3196	313	8	+	+	CCONJ
ejpam-3196	313	9	(	(	PUNCT
ejpam-3196	313	10	∫	∫	PROPN
ejpam-3196	313	11	1	1	NUM
ejpam-3196	313	12	0	0	NUM
ejpam-3196	314	1	(	(	PUNCT
ejpam-3196	314	2	f	f	X
ejpam-3196	314	3	′(b))qt	′(b))qt	PROPN
ejpam-3196	314	4	α	α	PROPN
ejpam-3196	314	5	k	k	NOUN
ejpam-3196	314	6	h	h	NOUN
ejpam-3196	315	1	1	1	NUM
ejpam-3196	315	2	r	r	NOUN
ejpam-3196	315	3	2	2	NUM
ejpam-3196	315	4	(	(	PUNCT
ejpam-3196	315	5	t)dt	t)dt	PROPN
ejpam-3196	315	6	)	)	PUNCT
ejpam-3196	315	7	r	r	NOUN
ejpam-3196	315	8	]	]	PUNCT
ejpam-3196	315	9	1	1	NUM
ejpam-3196	315	10	rq	rq	NOUN
ejpam-3196	315	11	+	+	X
ejpam-3196	316	1	[	[	X
ejpam-3196	316	2	(	(	PUNCT
ejpam-3196	316	3	∫	∫	PROPN
ejpam-3196	316	4	1	1	NUM
ejpam-3196	316	5	0	0	NUM
ejpam-3196	316	6	m	m	VERB
ejpam-3196	316	7	1	1	NUM
ejpam-3196	316	8	r	r	NOUN
ejpam-3196	316	9	(	(	PUNCT
ejpam-3196	316	10	f	f	PROPN
ejpam-3196	316	11	′(a))q(1−	′(a))q(1−	PROPN
ejpam-3196	316	12	t	t	PROPN
ejpam-3196	316	13	)	)	PUNCT
ejpam-3196	316	14	α	α	PROPN
ejpam-3196	317	1	k	k	NOUN
ejpam-3196	317	2	h	h	NOUN
ejpam-3196	318	1	1	1	NUM
ejpam-3196	318	2	r	r	NOUN
ejpam-3196	318	3	1	1	NUM
ejpam-3196	318	4	(	(	PUNCT
ejpam-3196	318	5	t)dt	t)dt	PROPN
ejpam-3196	318	6	)	)	PUNCT
ejpam-3196	318	7	r	r	NOUN
ejpam-3196	318	8	+	+	CCONJ
ejpam-3196	318	9	(	(	PUNCT
ejpam-3196	318	10	∫	∫	PROPN
ejpam-3196	318	11	1	1	NUM
ejpam-3196	318	12	0	0	NUM
ejpam-3196	318	13	(	(	PUNCT
ejpam-3196	318	14	f	f	PROPN
ejpam-3196	318	15	′(b))q(1−	′(b))q(1−	PROPN
ejpam-3196	318	16	t	t	PROPN
ejpam-3196	318	17	)	)	PUNCT
ejpam-3196	318	18	α	α	PROPN
ejpam-3196	319	1	k	k	NOUN
ejpam-3196	319	2	h	h	NOUN
ejpam-3196	319	3	1	1	NUM
ejpam-3196	319	4	r	r	NOUN
ejpam-3196	319	5	2	2	NUM
ejpam-3196	319	6	(	(	PUNCT
ejpam-3196	319	7	t)dt	t)dt	PROPN
ejpam-3196	319	8	)	)	PUNCT
ejpam-3196	319	9	r	r	NOUN
ejpam-3196	319	10	]	]	PUNCT
ejpam-3196	319	11	1	1	NUM
ejpam-3196	319	12	rq	rq	NOUN
ejpam-3196	319	13	}	}	PUNCT
ejpam-3196	319	14	=	=	PUNCT
ejpam-3196	319	15	‖g‖	‖g‖	NUM
ejpam-3196	319	16	α	α	NUM
ejpam-3196	319	17	k∞η	k∞η	NOUN
ejpam-3196	319	18	α	α	PROPN
ejpam-3196	319	19	k	k	PROPN
ejpam-3196	319	20	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	319	21	)	)	PUNCT
ejpam-3196	319	22	,	,	PUNCT
ejpam-3196	319	23	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	319	24	)	)	PUNCT
ejpam-3196	319	25	(	(	PUNCT
ejpam-3196	320	1	α	α	NOUN
ejpam-3196	320	2	k	k	PROPN
ejpam-3196	321	1	+	+	PROPN
ejpam-3196	321	2	1	1	NUM
ejpam-3196	321	3	)	)	PUNCT
ejpam-3196	321	4	1−	1−	NUM
ejpam-3196	321	5	1	1	NUM
ejpam-3196	321	6	q	q	NOUN
ejpam-3196	321	7	×	×	NOUN
ejpam-3196	321	8	{	{	PUNCT
ejpam-3196	321	9	[	[	PUNCT
ejpam-3196	321	10	m(f	m(f	NOUN
ejpam-3196	321	11	′(a))rqir(h1(t);α	′(a))rqir(h1(t);α	PROPN
ejpam-3196	321	12	,	,	PUNCT
ejpam-3196	321	13	k	k	NOUN
ejpam-3196	321	14	,	,	PUNCT
ejpam-3196	321	15	r	r	NOUN
ejpam-3196	321	16	)	)	PUNCT
ejpam-3196	321	17	+	+	CCONJ
ejpam-3196	321	18	(	(	PUNCT
ejpam-3196	321	19	f	f	PROPN
ejpam-3196	321	20	′(b))rqir(h2(t);α	′(b))rqir(h2(t);α	PROPN
ejpam-3196	321	21	,	,	PUNCT
ejpam-3196	321	22	k	k	NOUN
ejpam-3196	321	23	,	,	PUNCT
ejpam-3196	321	24	r	r	NOUN
ejpam-3196	321	25	)	)	PUNCT
ejpam-3196	321	26	]	]	PUNCT
ejpam-3196	321	27	1	1	NUM
ejpam-3196	321	28	rq	rq	NOUN
ejpam-3196	321	29	+	+	X
ejpam-3196	321	30	[	[	PUNCT
ejpam-3196	321	31	m(f	m(f	NOUN
ejpam-3196	321	32	′(a))rqi	′(a))rqi	NOUN
ejpam-3196	321	33	r	r	NOUN
ejpam-3196	321	34	(	(	PUNCT
ejpam-3196	321	35	h1(t);α	h1(t);α	PROPN
ejpam-3196	321	36	,	,	PUNCT
ejpam-3196	321	37	k	k	NOUN
ejpam-3196	321	38	,	,	PUNCT
ejpam-3196	321	39	r	r	NOUN
ejpam-3196	321	40	)	)	PUNCT
ejpam-3196	322	1	+	+	CCONJ
ejpam-3196	322	2	(	(	PUNCT
ejpam-3196	322	3	f	f	X
ejpam-3196	322	4	′(b))rqi	′(b))rqi	PROPN
ejpam-3196	322	5	r	r	NOUN
ejpam-3196	322	6	(	(	PUNCT
ejpam-3196	322	7	h2(t);α	h2(t);α	PROPN
ejpam-3196	322	8	,	,	PUNCT
ejpam-3196	322	9	k	k	NOUN
ejpam-3196	322	10	,	,	PUNCT
ejpam-3196	322	11	r	r	NOUN
ejpam-3196	322	12	)	)	PUNCT
ejpam-3196	322	13	]	]	PUNCT
ejpam-3196	322	14	1	1	NUM
ejpam-3196	322	15	rq	rq	NOUN
ejpam-3196	322	16	}	}	PUNCT
ejpam-3196	322	17	.	.	PUNCT
ejpam-3196	323	1	so	so	ADV
ejpam-3196	323	2	,	,	PUNCT
ejpam-3196	323	3	the	the	DET
ejpam-3196	323	4	proof	proof	NOUN
ejpam-3196	323	5	of	of	ADP
ejpam-3196	323	6	this	this	DET
ejpam-3196	323	7	theorem	theorem	NOUN
ejpam-3196	323	8	is	be	AUX
ejpam-3196	323	9	complete	complete	ADJ
ejpam-3196	323	10	.	.	PUNCT
ejpam-3196	324	1	remark	remark	PROPN
ejpam-3196	324	2	6	6	NUM
ejpam-3196	324	3	.	.	PUNCT
ejpam-3196	325	1	for	for	ADP
ejpam-3196	325	2	h1(t	h1(t	PROPN
ejpam-3196	325	3	)	)	PUNCT
ejpam-3196	325	4	=	=	SYM
ejpam-3196	326	1	1	1	NUM
ejpam-3196	326	2	−	−	PROPN
ejpam-3196	326	3	t	t	PROPN
ejpam-3196	326	4	,	,	PUNCT
ejpam-3196	326	5	h2(t	h2(t	X
ejpam-3196	326	6	)	)	PUNCT
ejpam-3196	326	7	=	=	SYM
ejpam-3196	326	8	t	t	PROPN
ejpam-3196	326	9	,	,	PUNCT
ejpam-3196	326	10	r	r	NOUN
ejpam-3196	326	11	=	=	PUNCT
ejpam-3196	326	12	m	m	NOUN
ejpam-3196	326	13	=	=	NOUN
ejpam-3196	326	14	q	q	PUNCT
ejpam-3196	326	15	=	=	SYM
ejpam-3196	326	16	1	1	NUM
ejpam-3196	326	17	,	,	PUNCT
ejpam-3196	326	18	and	and	CCONJ
ejpam-3196	326	19	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3196	326	20	)	)	PUNCT
ejpam-3196	326	21	,	,	PUNCT
ejpam-3196	326	22	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	326	23	)	)	PUNCT
ejpam-3196	326	24	=	=	SYM
ejpam-3196	326	25	ϕ(b)−mϕ(a	ϕ(b)−mϕ(a	NOUN
ejpam-3196	326	26	)	)	PUNCT
ejpam-3196	326	27	,	,	PUNCT
ejpam-3196	326	28	where	where	SCONJ
ejpam-3196	326	29	ϕ(x	ϕ(x	X
ejpam-3196	326	30	)	)	PUNCT
ejpam-3196	326	31	=	=	SYM
ejpam-3196	327	1	x	x	NOUN
ejpam-3196	327	2	,	,	PUNCT
ejpam-3196	327	3	∀x	∀x	X
ejpam-3196	327	4	∈	∈	PROPN
ejpam-3196	328	1	i	i	PRON
ejpam-3196	328	2	,	,	PUNCT
ejpam-3196	328	3	we	we	PRON
ejpam-3196	328	4	get	get	VERB
ejpam-3196	328	5	(	(	PUNCT
ejpam-3196	328	6	[	[	X
ejpam-3196	328	7	10	10	NUM
ejpam-3196	328	8	]	]	PUNCT
ejpam-3196	328	9	,	,	PUNCT
ejpam-3196	328	10	theorem	theorem	VERB
ejpam-3196	328	11	2.2	2.2	NUM
ejpam-3196	328	12	)	)	PUNCT
ejpam-3196	328	13	.	.	PUNCT
ejpam-3196	329	1	we	we	PRON
ejpam-3196	329	2	point	point	VERB
ejpam-3196	329	3	out	out	ADP
ejpam-3196	329	4	some	some	DET
ejpam-3196	329	5	special	special	ADJ
ejpam-3196	329	6	cases	case	NOUN
ejpam-3196	329	7	of	of	ADP
ejpam-3196	329	8	theorem	theorem	ADJ
ejpam-3196	329	9	4	4	NUM
ejpam-3196	329	10	.	.	NOUN
ejpam-3196	329	11	corollary	corollary	ADJ
ejpam-3196	329	12	8	8	NUM
ejpam-3196	329	13	.	.	PUNCT
ejpam-3196	330	1	in	in	ADP
ejpam-3196	330	2	theorem	theorem	NOUN
ejpam-3196	330	3	4	4	NUM
ejpam-3196	330	4	for	for	ADP
ejpam-3196	330	5	q	q	NOUN
ejpam-3196	330	6	=	=	SYM
ejpam-3196	330	7	1	1	NUM
ejpam-3196	330	8	,	,	PUNCT
ejpam-3196	330	9	we	we	PRON
ejpam-3196	330	10	have	have	VERB
ejpam-3196	330	11	the	the	DET
ejpam-3196	330	12	following	follow	VERB
ejpam-3196	330	13	hermite	hermite	ADJ
ejpam-3196	330	14	-	-	PUNCT
ejpam-3196	330	15	hadamard	hadamard	ADJ
ejpam-3196	330	16	type	type	NOUN
ejpam-3196	330	17	inequality	inequality	NOUN
ejpam-3196	330	18	for	for	ADP
ejpam-3196	330	19	generalized	generalized	ADJ
ejpam-3196	330	20	relative	relative	ADJ
ejpam-3196	330	21	semi-(r;m	semi-(r;m	PROPN
ejpam-3196	330	22	,	,	PUNCT
ejpam-3196	330	23	h1	h1	NOUN
ejpam-3196	330	24	,	,	PUNCT
ejpam-3196	330	25	h2)-preinvex	h2)-preinvex	NOUN
ejpam-3196	330	26	mappings	mapping	NOUN
ejpam-3196	330	27	via	via	ADP
ejpam-3196	330	28	k	k	ADJ
ejpam-3196	330	29	-	-	PUNCT
ejpam-3196	330	30	fractional	fractional	ADJ
ejpam-3196	330	31	integrals	integral	NOUN
ejpam-3196	330	32	:	:	PUNCT
ejpam-3196	330	33	∣∣if	∣∣if	ADJ
ejpam-3196	330	34	,	,	PUNCT
ejpam-3196	330	35	g	g	NOUN
ejpam-3196	330	36	,	,	PUNCT
ejpam-3196	330	37	η,ϕ(α	η,ϕ(α	X
ejpam-3196	330	38	,	,	PUNCT
ejpam-3196	330	39	k	k	PROPN
ejpam-3196	330	40	,	,	PUNCT
ejpam-3196	330	41	m	m	PROPN
ejpam-3196	330	42	,	,	PUNCT
ejpam-3196	330	43	a	a	DET
ejpam-3196	330	44	,	,	PUNCT
ejpam-3196	330	45	b	b	NOUN
ejpam-3196	330	46	)	)	PUNCT
ejpam-3196	330	47	∣∣	∣∣	PROPN
ejpam-3196	330	48	≤	≤	NOUN
ejpam-3196	330	49	‖g‖αk∞η	‖g‖αk∞η	ADP
ejpam-3196	330	50	αk+1(ϕ(b	αk+1(ϕ(b	ADJ
ejpam-3196	330	51	)	)	PUNCT
ejpam-3196	330	52	,	,	PUNCT
ejpam-3196	330	53	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	330	54	)	)	PUNCT
ejpam-3196	330	55	×	×	NOUN
ejpam-3196	330	56	{	{	PUNCT
ejpam-3196	330	57	[	[	PUNCT
ejpam-3196	330	58	m(f	m(f	NOUN
ejpam-3196	330	59	′(a))rir(h1(t);α	′(a))rir(h1(t);α	PROPN
ejpam-3196	330	60	,	,	PUNCT
ejpam-3196	330	61	k	k	NOUN
ejpam-3196	330	62	,	,	PUNCT
ejpam-3196	330	63	r	r	NOUN
ejpam-3196	330	64	)	)	PUNCT
ejpam-3196	330	65	+	+	CCONJ
ejpam-3196	330	66	(	(	PUNCT
ejpam-3196	330	67	f	f	PROPN
ejpam-3196	330	68	′(b))rir(h2(t);α	′(b))rir(h2(t);α	PROPN
ejpam-3196	330	69	,	,	PUNCT
ejpam-3196	330	70	k	k	NOUN
ejpam-3196	330	71	,	,	PUNCT
ejpam-3196	330	72	r	r	NOUN
ejpam-3196	330	73	)	)	PUNCT
ejpam-3196	330	74	]	]	PUNCT
ejpam-3196	330	75	1	1	NUM
ejpam-3196	330	76	r	r	NOUN
ejpam-3196	330	77	+	+	CCONJ
ejpam-3196	330	78	[	[	PUNCT
ejpam-3196	330	79	m(f	m(f	NOUN
ejpam-3196	330	80	′(a))ri	′(a))ri	PROPN
ejpam-3196	330	81	r	r	NOUN
ejpam-3196	330	82	(	(	PUNCT
ejpam-3196	330	83	h1(t);α	h1(t);α	PROPN
ejpam-3196	330	84	,	,	PUNCT
ejpam-3196	330	85	k	k	NOUN
ejpam-3196	330	86	,	,	PUNCT
ejpam-3196	330	87	r	r	NOUN
ejpam-3196	330	88	)	)	PUNCT
ejpam-3196	331	1	+	+	CCONJ
ejpam-3196	331	2	(	(	PUNCT
ejpam-3196	331	3	f	f	X
ejpam-3196	331	4	′(b))ri	′(b))ri	SYM
ejpam-3196	331	5	r	r	PROPN
ejpam-3196	331	6	(	(	PUNCT
ejpam-3196	331	7	h2(t);α	h2(t);α	PROPN
ejpam-3196	331	8	,	,	PUNCT
ejpam-3196	331	9	k	k	NOUN
ejpam-3196	331	10	,	,	PUNCT
ejpam-3196	331	11	r	r	NOUN
ejpam-3196	331	12	)	)	PUNCT
ejpam-3196	331	13	]	]	PUNCT
ejpam-3196	331	14	1	1	NUM
ejpam-3196	331	15	r	r	NOUN
ejpam-3196	331	16	}	}	PUNCT
ejpam-3196	331	17	.	.	PUNCT
ejpam-3196	332	1	(	(	PUNCT
ejpam-3196	332	2	28	28	NUM
ejpam-3196	332	3	)	)	PUNCT
ejpam-3196	332	4	m.	m.	NOUN
ejpam-3196	332	5	ramosaçaj	ramosaçaj	NOUN
ejpam-3196	332	6	,	,	PUNCT
ejpam-3196	332	7	a.	a.	NOUN
ejpam-3196	332	8	kashuri	kashuri	PROPN
ejpam-3196	332	9	,	,	PUNCT
ejpam-3196	332	10	r.	r.	PROPN
ejpam-3196	332	11	liko	liko	PROPN
ejpam-3196	332	12	/	/	SYM
ejpam-3196	332	13	eur	eur	PROPN
ejpam-3196	332	14	.	.	PUNCT
ejpam-3196	333	1	j.	j.	PROPN
ejpam-3196	333	2	pure	pure	PROPN
ejpam-3196	333	3	appl	appl	PROPN
ejpam-3196	333	4	.	.	PROPN
ejpam-3196	333	5	math	math	PROPN
ejpam-3196	333	6	,	,	PUNCT
ejpam-3196	333	7	11	11	NUM
ejpam-3196	333	8	(	(	PUNCT
ejpam-3196	333	9	1	1	NUM
ejpam-3196	333	10	)	)	PUNCT
ejpam-3196	333	11	(	(	PUNCT
ejpam-3196	333	12	2018	2018	NUM
ejpam-3196	333	13	)	)	PUNCT
ejpam-3196	333	14	,	,	PUNCT
ejpam-3196	333	15	51	51	NUM
ejpam-3196	333	16	-	-	SYM
ejpam-3196	333	17	68	68	NUM
ejpam-3196	333	18	63	63	NUM
ejpam-3196	333	19	corollary	corollary	ADJ
ejpam-3196	333	20	9	9	NUM
ejpam-3196	333	21	.	.	PUNCT
ejpam-3196	334	1	in	in	ADP
ejpam-3196	334	2	theorem	theorem	NOUN
ejpam-3196	334	3	4	4	NUM
ejpam-3196	334	4	for	for	ADP
ejpam-3196	334	5	g(s	g(	NOUN
ejpam-3196	334	6	)	)	PUNCT
ejpam-3196	334	7	≡	≡	PROPN
ejpam-3196	334	8	1	1	NUM
ejpam-3196	334	9	,	,	PUNCT
ejpam-3196	334	10	we	we	PRON
ejpam-3196	334	11	have	have	VERB
ejpam-3196	334	12	the	the	DET
ejpam-3196	334	13	following	follow	VERB
ejpam-3196	334	14	hermite	hermite	ADJ
ejpam-3196	334	15	-	-	PUNCT
ejpam-3196	334	16	hadamard	hadamard	ADJ
ejpam-3196	334	17	type	type	NOUN
ejpam-3196	334	18	inequality	inequality	NOUN
ejpam-3196	334	19	for	for	ADP
ejpam-3196	334	20	generalized	generalized	ADJ
ejpam-3196	334	21	relative	relative	ADJ
ejpam-3196	334	22	semi-(r;m	semi-(r;m	PROPN
ejpam-3196	334	23	,	,	PUNCT
ejpam-3196	334	24	h1	h1	NOUN
ejpam-3196	334	25	,	,	PUNCT
ejpam-3196	334	26	h2)-preinvex	h2)-preinvex	NOUN
ejpam-3196	334	27	mappings	mapping	NOUN
ejpam-3196	334	28	via	via	ADP
ejpam-3196	334	29	k	k	ADJ
ejpam-3196	334	30	-	-	PUNCT
ejpam-3196	334	31	fractional	fractional	ADJ
ejpam-3196	334	32	integrals	integral	NOUN
ejpam-3196	334	33	:	:	PUNCT
ejpam-3196	334	34	∣∣∣∣∣f(mϕ(a	∣∣∣∣∣f(mϕ(a	NOUN
ejpam-3196	334	35	)	)	PUNCT
ejpam-3196	334	36	)	)	PUNCT
ejpam-3196	335	1	+	+	CCONJ
ejpam-3196	335	2	f(mϕ(a	f(mϕ(a	X
ejpam-3196	335	3	)	)	PUNCT
ejpam-3196	335	4	+	+	NUM
ejpam-3196	335	5	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3196	335	6	)	)	PUNCT
ejpam-3196	335	7	,	,	PUNCT
ejpam-3196	335	8	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	335	9	)	)	PUNCT
ejpam-3196	335	10	)	)	PUNCT
ejpam-3196	336	1	2	2	NUM
ejpam-3196	336	2	−	−	PROPN
ejpam-3196	336	3	γk(α+	γk(α+	PROPN
ejpam-3196	336	4	k	k	NOUN
ejpam-3196	336	5	)	)	PUNCT
ejpam-3196	336	6	2η	2η	PROPN
ejpam-3196	337	1	α	α	INTJ
ejpam-3196	337	2	k	k	PROPN
ejpam-3196	337	3	(	(	PUNCT
ejpam-3196	337	4	ϕ(b	ϕ(b	PROPN
ejpam-3196	337	5	)	)	PUNCT
ejpam-3196	337	6	,	,	PUNCT
ejpam-3196	337	7	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	337	8	)	)	PUNCT
ejpam-3196	337	9	×	×	NOUN
ejpam-3196	337	10	[	[	PUNCT
ejpam-3196	337	11	iα	iα	PROPN
ejpam-3196	337	12	,	,	PUNCT
ejpam-3196	337	13	k(mϕ(a))+f(mϕ(a	k(mϕ(a))+f(mϕ(a	PROPN
ejpam-3196	337	14	)	)	PUNCT
ejpam-3196	337	15	+	+	NUM
ejpam-3196	337	16	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3196	337	17	)	)	PUNCT
ejpam-3196	337	18	,	,	PUNCT
ejpam-3196	337	19	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	337	20	)	)	PUNCT
ejpam-3196	337	21	)	)	PUNCT
ejpam-3196	338	1	+	+	CCONJ
ejpam-3196	338	2	iα	iα	PROPN
ejpam-3196	338	3	,	,	PUNCT
ejpam-3196	338	4	k(mϕ(a)+η(ϕ(b),ϕ(a),m))−f(mϕ(a	k(mϕ(a)+η(ϕ(b),ϕ(a),m))−f(mϕ(a	PROPN
ejpam-3196	338	5	)	)	PUNCT
ejpam-3196	338	6	)	)	PUNCT
ejpam-3196	339	1	]	]	PUNCT
ejpam-3196	339	2	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3196	339	3	≤	≤	PROPN
ejpam-3196	339	4	η	η	PROPN
ejpam-3196	339	5	α	α	PROPN
ejpam-3196	339	6	k	k	PROPN
ejpam-3196	339	7	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	339	8	)	)	PUNCT
ejpam-3196	339	9	,	,	PUNCT
ejpam-3196	339	10	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	339	11	)	)	PUNCT
ejpam-3196	339	12	2	2	NUM
ejpam-3196	339	13	(	(	PUNCT
ejpam-3196	339	14	α	α	NOUN
ejpam-3196	339	15	k	k	PROPN
ejpam-3196	340	1	+	+	PROPN
ejpam-3196	340	2	1	1	NUM
ejpam-3196	340	3	)	)	PUNCT
ejpam-3196	340	4	1−	1−	NUM
ejpam-3196	340	5	1	1	NUM
ejpam-3196	340	6	q	q	NOUN
ejpam-3196	340	7	×	×	NOUN
ejpam-3196	340	8	{	{	PUNCT
ejpam-3196	340	9	[	[	PUNCT
ejpam-3196	340	10	m(f	m(f	NOUN
ejpam-3196	340	11	′(a))rqir(h1(t);α	′(a))rqir(h1(t);α	PROPN
ejpam-3196	340	12	,	,	PUNCT
ejpam-3196	340	13	k	k	NOUN
ejpam-3196	340	14	,	,	PUNCT
ejpam-3196	340	15	r	r	NOUN
ejpam-3196	340	16	)	)	PUNCT
ejpam-3196	340	17	+	+	CCONJ
ejpam-3196	340	18	(	(	PUNCT
ejpam-3196	340	19	f	f	PROPN
ejpam-3196	340	20	′(b))rqir(h2(t);α	′(b))rqir(h2(t);α	PROPN
ejpam-3196	340	21	,	,	PUNCT
ejpam-3196	340	22	k	k	NOUN
ejpam-3196	340	23	,	,	PUNCT
ejpam-3196	340	24	r	r	NOUN
ejpam-3196	340	25	)	)	PUNCT
ejpam-3196	340	26	]	]	PUNCT
ejpam-3196	340	27	1	1	NUM
ejpam-3196	340	28	rq	rq	NOUN
ejpam-3196	340	29	+	+	X
ejpam-3196	340	30	[	[	PUNCT
ejpam-3196	340	31	m(f	m(f	NOUN
ejpam-3196	340	32	′(a))rqi	′(a))rqi	NOUN
ejpam-3196	340	33	r	r	NOUN
ejpam-3196	340	34	(	(	PUNCT
ejpam-3196	340	35	h1(t);α	h1(t);α	PROPN
ejpam-3196	340	36	,	,	PUNCT
ejpam-3196	340	37	k	k	NOUN
ejpam-3196	340	38	,	,	PUNCT
ejpam-3196	340	39	r	r	NOUN
ejpam-3196	340	40	)	)	PUNCT
ejpam-3196	341	1	+	+	CCONJ
ejpam-3196	341	2	(	(	PUNCT
ejpam-3196	341	3	f	f	X
ejpam-3196	341	4	′(b))rqi	′(b))rqi	PROPN
ejpam-3196	341	5	r	r	NOUN
ejpam-3196	341	6	(	(	PUNCT
ejpam-3196	341	7	h2(t);α	h2(t);α	PROPN
ejpam-3196	341	8	,	,	PUNCT
ejpam-3196	341	9	k	k	NOUN
ejpam-3196	341	10	,	,	PUNCT
ejpam-3196	341	11	r	r	NOUN
ejpam-3196	341	12	)	)	PUNCT
ejpam-3196	341	13	]	]	PUNCT
ejpam-3196	341	14	1	1	NUM
ejpam-3196	341	15	rq	rq	NOUN
ejpam-3196	341	16	}	}	PUNCT
ejpam-3196	341	17	.	.	PUNCT
ejpam-3196	342	1	(	(	PUNCT
ejpam-3196	342	2	29	29	NUM
ejpam-3196	342	3	)	)	PUNCT
ejpam-3196	342	4	corollary	corollary	ADJ
ejpam-3196	342	5	10	10	NUM
ejpam-3196	342	6	.	.	PUNCT
ejpam-3196	343	1	in	in	ADP
ejpam-3196	343	2	theorem	theorem	NOUN
ejpam-3196	343	3	4	4	NUM
ejpam-3196	343	4	for	for	ADP
ejpam-3196	343	5	h1(t	h1(t	PRON
ejpam-3196	343	6	)	)	PUNCT
ejpam-3196	343	7	=	=	PUNCT
ejpam-3196	344	1	h(1	h(1	NOUN
ejpam-3196	344	2	−	−	PROPN
ejpam-3196	344	3	t	t	PROPN
ejpam-3196	344	4	)	)	PUNCT
ejpam-3196	344	5	,	,	PUNCT
ejpam-3196	344	6	h2(t	h2(t	X
ejpam-3196	344	7	)	)	PUNCT
ejpam-3196	344	8	=	=	PUNCT
ejpam-3196	344	9	h(t	h(t	PROPN
ejpam-3196	344	10	)	)	PUNCT
ejpam-3196	344	11	and	and	CCONJ
ejpam-3196	344	12	f	f	PROPN
ejpam-3196	344	13	′(x	′(x	PROPN
ejpam-3196	344	14	)	)	PUNCT
ejpam-3196	344	15	≤	≤	PUNCT
ejpam-3196	345	1	k	k	X
ejpam-3196	345	2	,	,	PUNCT
ejpam-3196	345	3	∀x	∀x	X
ejpam-3196	345	4	∈	∈	PROPN
ejpam-3196	346	1	i	i	PRON
ejpam-3196	346	2	,	,	PUNCT
ejpam-3196	346	3	we	we	PRON
ejpam-3196	346	4	get	get	VERB
ejpam-3196	346	5	the	the	DET
ejpam-3196	346	6	following	follow	VERB
ejpam-3196	346	7	hermite	hermite	ADJ
ejpam-3196	346	8	-	-	PUNCT
ejpam-3196	346	9	hadamard	hadamard	ADJ
ejpam-3196	346	10	-	-	PUNCT
ejpam-3196	346	11	fejér	fejér	NOUN
ejpam-3196	346	12	type	type	NOUN
ejpam-3196	346	13	inequality	inequality	NOUN
ejpam-3196	346	14	for	for	ADP
ejpam-3196	346	15	generalized	generalized	ADJ
ejpam-3196	346	16	relative	relative	ADJ
ejpam-3196	346	17	semi(r;m	semi(r;m	NOUN
ejpam-3196	346	18	,	,	PUNCT
ejpam-3196	346	19	h)-preinvex	h)-preinvex	PUNCT
ejpam-3196	346	20	mappings	mapping	NOUN
ejpam-3196	346	21	via	via	ADP
ejpam-3196	346	22	k	k	ADJ
ejpam-3196	346	23	-	-	PUNCT
ejpam-3196	346	24	fractional	fractional	ADJ
ejpam-3196	346	25	integrals	integral	NOUN
ejpam-3196	346	26	:	:	PUNCT
ejpam-3196	346	27	∣∣if	∣∣if	ADJ
ejpam-3196	346	28	,	,	PUNCT
ejpam-3196	346	29	g	g	NOUN
ejpam-3196	346	30	,	,	PUNCT
ejpam-3196	346	31	η,ϕ(α	η,ϕ(α	X
ejpam-3196	346	32	,	,	PUNCT
ejpam-3196	346	33	k	k	PROPN
ejpam-3196	346	34	,	,	PUNCT
ejpam-3196	346	35	m	m	PROPN
ejpam-3196	346	36	,	,	PUNCT
ejpam-3196	346	37	a	a	DET
ejpam-3196	346	38	,	,	PUNCT
ejpam-3196	346	39	b	b	NOUN
ejpam-3196	346	40	)	)	PUNCT
ejpam-3196	346	41	∣∣	∣∣	NUM
ejpam-3196	346	42	≤	≤	NUM
ejpam-3196	346	43	k‖g‖	k‖g‖	ADJ
ejpam-3196	346	44	α	α	PROPN
ejpam-3196	346	45	k∞η	k∞η	NOUN
ejpam-3196	346	46	α	α	PROPN
ejpam-3196	346	47	k	k	PROPN
ejpam-3196	346	48	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	346	49	)	)	PUNCT
ejpam-3196	346	50	,	,	PUNCT
ejpam-3196	346	51	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	346	52	)	)	PUNCT
ejpam-3196	346	53	(	(	PUNCT
ejpam-3196	346	54	α	α	NOUN
ejpam-3196	346	55	k	k	PROPN
ejpam-3196	347	1	+	+	PROPN
ejpam-3196	347	2	1	1	NUM
ejpam-3196	347	3	)	)	PUNCT
ejpam-3196	347	4	1−	1−	NUM
ejpam-3196	347	5	1	1	NUM
ejpam-3196	347	6	q	q	NOUN
ejpam-3196	347	7	×	×	NOUN
ejpam-3196	347	8	{	{	PUNCT
ejpam-3196	347	9	[	[	PUNCT
ejpam-3196	347	10	mir(h(1−t);α	mir(h(1−t);α	X
ejpam-3196	347	11	,	,	PUNCT
ejpam-3196	347	12	k	k	PROPN
ejpam-3196	347	13	,	,	PUNCT
ejpam-3196	347	14	r)+ir(h(t);α	r)+ir(h(t);α	PROPN
ejpam-3196	347	15	,	,	PUNCT
ejpam-3196	347	16	k	k	NOUN
ejpam-3196	347	17	,	,	PUNCT
ejpam-3196	347	18	r	r	NOUN
ejpam-3196	347	19	)	)	PUNCT
ejpam-3196	347	20	]	]	PUNCT
ejpam-3196	347	21	1	1	NUM
ejpam-3196	347	22	rq	rq	NOUN
ejpam-3196	347	23	+	+	X
ejpam-3196	347	24	[	[	PUNCT
ejpam-3196	347	25	mir(h(t);α	mir(h(t);α	PROPN
ejpam-3196	347	26	,	,	PUNCT
ejpam-3196	347	27	k	k	PROPN
ejpam-3196	347	28	,	,	PUNCT
ejpam-3196	347	29	r)+ir(h(1−t);α	r)+ir(h(1−t);α	PRON
ejpam-3196	347	30	,	,	PUNCT
ejpam-3196	347	31	k	k	NOUN
ejpam-3196	347	32	,	,	PUNCT
ejpam-3196	347	33	r	r	NOUN
ejpam-3196	347	34	)	)	PUNCT
ejpam-3196	347	35	]	]	PUNCT
ejpam-3196	347	36	1	1	NUM
ejpam-3196	347	37	rq	rq	NOUN
ejpam-3196	347	38	}	}	PUNCT
ejpam-3196	347	39	.	.	PUNCT
ejpam-3196	348	1	(	(	PUNCT
ejpam-3196	348	2	30	30	NUM
ejpam-3196	348	3	)	)	PUNCT
ejpam-3196	348	4	corollary	corollary	ADJ
ejpam-3196	348	5	11	11	NUM
ejpam-3196	348	6	.	.	PUNCT
ejpam-3196	349	1	in	in	ADP
ejpam-3196	349	2	corollary	corollary	ADJ
ejpam-3196	349	3	10	10	NUM
ejpam-3196	349	4	for	for	ADP
ejpam-3196	349	5	h1(t	h1(t	PRON
ejpam-3196	349	6	)	)	PUNCT
ejpam-3196	349	7	=	=	SYM
ejpam-3196	349	8	(	(	PUNCT
ejpam-3196	349	9	1	1	NUM
ejpam-3196	349	10	−	−	NOUN
ejpam-3196	349	11	t)s	t)s	NUM
ejpam-3196	349	12	,	,	PUNCT
ejpam-3196	349	13	h2(t	h2(t	X
ejpam-3196	349	14	)	)	PUNCT
ejpam-3196	349	15	=	=	SYM
ejpam-3196	349	16	ts	ts	NOUN
ejpam-3196	349	17	,	,	PUNCT
ejpam-3196	349	18	we	we	PRON
ejpam-3196	349	19	get	get	VERB
ejpam-3196	349	20	the	the	DET
ejpam-3196	349	21	following	follow	VERB
ejpam-3196	349	22	hermite	hermite	ADJ
ejpam-3196	349	23	-	-	PUNCT
ejpam-3196	349	24	hadamard	hadamard	ADJ
ejpam-3196	349	25	-	-	PUNCT
ejpam-3196	349	26	fejér	fejér	NOUN
ejpam-3196	349	27	type	type	NOUN
ejpam-3196	349	28	inequality	inequality	NOUN
ejpam-3196	349	29	for	for	ADP
ejpam-3196	349	30	generalized	generalized	ADJ
ejpam-3196	349	31	relative	relative	ADJ
ejpam-3196	349	32	semi-(r;m	semi-(r;m	NOUN
ejpam-3196	349	33	,	,	PUNCT
ejpam-3196	349	34	s)-brecknerpreinvex	s)-brecknerpreinvex	PUNCT
ejpam-3196	349	35	mappings	mapping	NOUN
ejpam-3196	349	36	via	via	ADP
ejpam-3196	349	37	k	k	ADJ
ejpam-3196	349	38	-	-	PUNCT
ejpam-3196	349	39	fractional	fractional	ADJ
ejpam-3196	349	40	integrals	integral	NOUN
ejpam-3196	349	41	:	:	PUNCT
ejpam-3196	349	42	∣∣if	∣∣if	ADJ
ejpam-3196	349	43	,	,	PUNCT
ejpam-3196	349	44	g	g	NOUN
ejpam-3196	349	45	,	,	PUNCT
ejpam-3196	349	46	η,ϕ(α	η,ϕ(α	X
ejpam-3196	349	47	,	,	PUNCT
ejpam-3196	349	48	k	k	PROPN
ejpam-3196	349	49	,	,	PUNCT
ejpam-3196	349	50	m	m	PROPN
ejpam-3196	349	51	,	,	PUNCT
ejpam-3196	349	52	a	a	DET
ejpam-3196	349	53	,	,	PUNCT
ejpam-3196	349	54	b	b	NOUN
ejpam-3196	349	55	)	)	PUNCT
ejpam-3196	349	56	∣∣	∣∣	NUM
ejpam-3196	349	57	≤	≤	NUM
ejpam-3196	349	58	k‖g‖	k‖g‖	ADJ
ejpam-3196	349	59	α	α	PROPN
ejpam-3196	349	60	k∞η	k∞η	NOUN
ejpam-3196	349	61	α	α	PROPN
ejpam-3196	349	62	k	k	PROPN
ejpam-3196	349	63	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	349	64	)	)	PUNCT
ejpam-3196	349	65	,	,	PUNCT
ejpam-3196	349	66	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	349	67	)	)	PUNCT
ejpam-3196	349	68	(	(	PUNCT
ejpam-3196	349	69	α	α	NOUN
ejpam-3196	349	70	k	k	PROPN
ejpam-3196	350	1	+	+	PROPN
ejpam-3196	350	2	1	1	NUM
ejpam-3196	350	3	)	)	PUNCT
ejpam-3196	350	4	1−	1−	NUM
ejpam-3196	350	5	1	1	NUM
ejpam-3196	350	6	q	q	NOUN
ejpam-3196	350	7	×	×	NOUN
ejpam-3196	350	8	{	{	PUNCT
ejpam-3196	350	9	[	[	PUNCT
ejpam-3196	350	10	mβr	mβr	NOUN
ejpam-3196	350	11	(	(	PUNCT
ejpam-3196	350	12	s	s	NOUN
ejpam-3196	350	13	r	r	NOUN
ejpam-3196	350	14	+	+	NOUN
ejpam-3196	350	15	1	1	NUM
ejpam-3196	350	16	,	,	PUNCT
ejpam-3196	350	17	α	α	PROPN
ejpam-3196	350	18	k	k	PROPN
ejpam-3196	351	1	+	+	CCONJ
ejpam-3196	351	2	1	1	X
ejpam-3196	351	3	)	)	PUNCT
ejpam-3196	351	4	+	+	CCONJ
ejpam-3196	351	5	(	(	PUNCT
ejpam-3196	351	6	1	1	NUM
ejpam-3196	351	7	s	s	NOUN
ejpam-3196	351	8	r	r	NOUN
ejpam-3196	351	9	+	+	NOUN
ejpam-3196	351	10	α	α	NOUN
ejpam-3196	351	11	k	k	PROPN
ejpam-3196	352	1	+	+	CCONJ
ejpam-3196	352	2	1	1	X
ejpam-3196	352	3	)	)	PUNCT
ejpam-3196	352	4	r	r	NOUN
ejpam-3196	352	5	]	]	PUNCT
ejpam-3196	352	6	1	1	NUM
ejpam-3196	352	7	rq	rq	NOUN
ejpam-3196	352	8	+	+	X
ejpam-3196	353	1	[	[	PUNCT
ejpam-3196	353	2	m	m	X
ejpam-3196	353	3	(	(	PUNCT
ejpam-3196	353	4	1	1	NUM
ejpam-3196	353	5	s	s	NOUN
ejpam-3196	353	6	r	r	NOUN
ejpam-3196	353	7	+	+	NOUN
ejpam-3196	353	8	α	α	NOUN
ejpam-3196	353	9	k	k	PROPN
ejpam-3196	354	1	+	+	ADV
ejpam-3196	354	2	1	1	X
ejpam-3196	354	3	)	)	PUNCT
ejpam-3196	354	4	r	r	NOUN
ejpam-3196	354	5	+	+	NOUN
ejpam-3196	354	6	βr	βr	INTJ
ejpam-3196	354	7	(	(	PUNCT
ejpam-3196	354	8	s	s	NOUN
ejpam-3196	354	9	r	r	NOUN
ejpam-3196	354	10	+	+	NOUN
ejpam-3196	354	11	1	1	NUM
ejpam-3196	354	12	,	,	PUNCT
ejpam-3196	354	13	α	α	PROPN
ejpam-3196	354	14	k	k	PROPN
ejpam-3196	355	1	+	+	PROPN
ejpam-3196	355	2	1	1	NUM
ejpam-3196	355	3	)	)	PUNCT
ejpam-3196	355	4	]	]	PUNCT
ejpam-3196	355	5	1	1	NUM
ejpam-3196	355	6	rq	rq	NOUN
ejpam-3196	355	7	}	}	PUNCT
ejpam-3196	355	8	.	.	PUNCT
ejpam-3196	356	1	(	(	PUNCT
ejpam-3196	356	2	31	31	NUM
ejpam-3196	356	3	)	)	PUNCT
ejpam-3196	356	4	m.	m.	NOUN
ejpam-3196	356	5	ramosaçaj	ramosaçaj	NOUN
ejpam-3196	356	6	,	,	PUNCT
ejpam-3196	356	7	a.	a.	NOUN
ejpam-3196	356	8	kashuri	kashuri	PROPN
ejpam-3196	356	9	,	,	PUNCT
ejpam-3196	356	10	r.	r.	PROPN
ejpam-3196	356	11	liko	liko	PROPN
ejpam-3196	356	12	/	/	SYM
ejpam-3196	356	13	eur	eur	PROPN
ejpam-3196	356	14	.	.	PUNCT
ejpam-3196	357	1	j.	j.	PROPN
ejpam-3196	357	2	pure	pure	PROPN
ejpam-3196	357	3	appl	appl	PROPN
ejpam-3196	357	4	.	.	PROPN
ejpam-3196	357	5	math	math	PROPN
ejpam-3196	357	6	,	,	PUNCT
ejpam-3196	357	7	11	11	NUM
ejpam-3196	357	8	(	(	PUNCT
ejpam-3196	357	9	1	1	NUM
ejpam-3196	357	10	)	)	PUNCT
ejpam-3196	357	11	(	(	PUNCT
ejpam-3196	357	12	2018	2018	NUM
ejpam-3196	357	13	)	)	PUNCT
ejpam-3196	357	14	,	,	PUNCT
ejpam-3196	357	15	51	51	NUM
ejpam-3196	357	16	-	-	SYM
ejpam-3196	357	17	68	68	NUM
ejpam-3196	357	18	64	64	NUM
ejpam-3196	357	19	corollary	corollary	ADJ
ejpam-3196	357	20	12	12	NUM
ejpam-3196	357	21	.	.	PUNCT
ejpam-3196	358	1	in	in	ADP
ejpam-3196	358	2	corollary	corollary	ADJ
ejpam-3196	358	3	10	10	NUM
ejpam-3196	358	4	for	for	ADP
ejpam-3196	358	5	h1(t	h1(t	PRON
ejpam-3196	358	6	)	)	PUNCT
ejpam-3196	358	7	=	=	SYM
ejpam-3196	358	8	(	(	PUNCT
ejpam-3196	358	9	1−t)−s	1−t)−s	NUM
ejpam-3196	358	10	,	,	PUNCT
ejpam-3196	358	11	h2(t	h2(t	X
ejpam-3196	358	12	)	)	PUNCT
ejpam-3196	358	13	=	=	SYM
ejpam-3196	358	14	t−s	t−	NOUN
ejpam-3196	358	15	and	and	CCONJ
ejpam-3196	358	16	0	0	NUM
ejpam-3196	358	17	<	<	X
ejpam-3196	358	18	s	s	X
ejpam-3196	358	19	<	<	X
ejpam-3196	358	20	r	r	NOUN
ejpam-3196	358	21	,	,	PUNCT
ejpam-3196	358	22	we	we	PRON
ejpam-3196	358	23	get	get	VERB
ejpam-3196	358	24	the	the	DET
ejpam-3196	358	25	following	follow	VERB
ejpam-3196	358	26	hermite	hermite	ADJ
ejpam-3196	358	27	-	-	PUNCT
ejpam-3196	358	28	hadamard	hadamard	ADJ
ejpam-3196	358	29	-	-	PUNCT
ejpam-3196	358	30	fejér	fejér	NOUN
ejpam-3196	358	31	type	type	NOUN
ejpam-3196	358	32	inequality	inequality	NOUN
ejpam-3196	358	33	for	for	ADP
ejpam-3196	358	34	generalized	generalized	ADJ
ejpam-3196	358	35	relative	relative	ADJ
ejpam-3196	358	36	semi-(r;m	semi-(r;m	NOUN
ejpam-3196	358	37	,	,	PUNCT
ejpam-3196	358	38	s)godunova	s)godunova	NOUN
ejpam-3196	358	39	-	-	PUNCT
ejpam-3196	358	40	levin	levin	NOUN
ejpam-3196	358	41	-	-	PUNCT
ejpam-3196	358	42	dragomir	dragomir	ADJ
ejpam-3196	358	43	-	-	PUNCT
ejpam-3196	358	44	preinvex	preinvex	NOUN
ejpam-3196	358	45	mappings	mapping	NOUN
ejpam-3196	358	46	via	via	ADP
ejpam-3196	358	47	k	k	ADJ
ejpam-3196	358	48	-	-	PUNCT
ejpam-3196	358	49	fractional	fractional	ADJ
ejpam-3196	358	50	integrals	integral	NOUN
ejpam-3196	358	51	:	:	PUNCT
ejpam-3196	358	52	∣∣if	∣∣if	ADJ
ejpam-3196	358	53	,	,	PUNCT
ejpam-3196	358	54	g	g	NOUN
ejpam-3196	358	55	,	,	PUNCT
ejpam-3196	358	56	η,ϕ(α	η,ϕ(α	X
ejpam-3196	358	57	,	,	PUNCT
ejpam-3196	358	58	k	k	PROPN
ejpam-3196	358	59	,	,	PUNCT
ejpam-3196	358	60	m	m	PROPN
ejpam-3196	358	61	,	,	PUNCT
ejpam-3196	358	62	a	a	DET
ejpam-3196	358	63	,	,	PUNCT
ejpam-3196	358	64	b	b	NOUN
ejpam-3196	358	65	)	)	PUNCT
ejpam-3196	358	66	∣∣	∣∣	NUM
ejpam-3196	358	67	≤	≤	NUM
ejpam-3196	358	68	k‖g‖	k‖g‖	ADJ
ejpam-3196	358	69	α	α	PROPN
ejpam-3196	358	70	k∞η	k∞η	NOUN
ejpam-3196	358	71	α	α	PROPN
ejpam-3196	358	72	k	k	PROPN
ejpam-3196	358	73	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	358	74	)	)	PUNCT
ejpam-3196	358	75	,	,	PUNCT
ejpam-3196	358	76	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	358	77	)	)	PUNCT
ejpam-3196	358	78	(	(	PUNCT
ejpam-3196	358	79	α	α	NOUN
ejpam-3196	358	80	k	k	PROPN
ejpam-3196	359	1	+	+	PROPN
ejpam-3196	359	2	1	1	NUM
ejpam-3196	359	3	)	)	PUNCT
ejpam-3196	359	4	1−	1−	NUM
ejpam-3196	359	5	1	1	NUM
ejpam-3196	359	6	q	q	NOUN
ejpam-3196	359	7	×	×	NOUN
ejpam-3196	359	8	{	{	PUNCT
ejpam-3196	359	9	[	[	PUNCT
ejpam-3196	359	10	mβr	mβr	NOUN
ejpam-3196	359	11	(	(	PUNCT
ejpam-3196	359	12	1−	1−	NUM
ejpam-3196	359	13	s	s	NOUN
ejpam-3196	359	14	r	r	NOUN
ejpam-3196	359	15	,	,	PUNCT
ejpam-3196	359	16	α	α	PROPN
ejpam-3196	359	17	k	k	PROPN
ejpam-3196	360	1	+	+	CCONJ
ejpam-3196	360	2	1	1	X
ejpam-3196	360	3	)	)	PUNCT
ejpam-3196	360	4	+	+	CCONJ
ejpam-3196	360	5	(	(	PUNCT
ejpam-3196	360	6	1	1	NUM
ejpam-3196	360	7	α	α	NOUN
ejpam-3196	360	8	k	k	NOUN
ejpam-3196	361	1	−	−	PROPN
ejpam-3196	361	2	s	s	PART
ejpam-3196	361	3	r	r	NOUN
ejpam-3196	361	4	+	+	NOUN
ejpam-3196	361	5	1	1	NUM
ejpam-3196	361	6	)	)	PUNCT
ejpam-3196	361	7	r	r	NOUN
ejpam-3196	361	8	]	]	PUNCT
ejpam-3196	361	9	1	1	NUM
ejpam-3196	361	10	rq	rq	NOUN
ejpam-3196	361	11	+	+	X
ejpam-3196	362	1	[	[	PUNCT
ejpam-3196	362	2	m	m	X
ejpam-3196	362	3	(	(	PUNCT
ejpam-3196	362	4	1	1	NUM
ejpam-3196	362	5	α	α	NOUN
ejpam-3196	362	6	k	k	NOUN
ejpam-3196	362	7	−	−	PROPN
ejpam-3196	362	8	s	s	PART
ejpam-3196	362	9	r	r	NOUN
ejpam-3196	362	10	+	+	NOUN
ejpam-3196	362	11	1	1	NUM
ejpam-3196	362	12	)	)	PUNCT
ejpam-3196	362	13	r	r	NOUN
ejpam-3196	362	14	+	+	NOUN
ejpam-3196	362	15	βr	βr	INTJ
ejpam-3196	362	16	(	(	PUNCT
ejpam-3196	362	17	1−	1−	NUM
ejpam-3196	362	18	s	s	NOUN
ejpam-3196	362	19	r	r	NOUN
ejpam-3196	362	20	,	,	PUNCT
ejpam-3196	362	21	α	α	PROPN
ejpam-3196	362	22	k	k	PROPN
ejpam-3196	363	1	+	+	PROPN
ejpam-3196	363	2	1	1	NUM
ejpam-3196	363	3	)	)	PUNCT
ejpam-3196	363	4	]	]	PUNCT
ejpam-3196	363	5	1	1	NUM
ejpam-3196	363	6	rq	rq	NOUN
ejpam-3196	363	7	}	}	PUNCT
ejpam-3196	363	8	.	.	PUNCT
ejpam-3196	364	1	(	(	PUNCT
ejpam-3196	364	2	32	32	NUM
ejpam-3196	364	3	)	)	PUNCT
ejpam-3196	364	4	corollary	corollary	ADJ
ejpam-3196	364	5	13	13	NUM
ejpam-3196	364	6	.	.	PUNCT
ejpam-3196	365	1	in	in	ADP
ejpam-3196	365	2	theorem	theorem	NOUN
ejpam-3196	365	3	4	4	NUM
ejpam-3196	365	4	for	for	ADP
ejpam-3196	365	5	h1(t	h1(t	PRON
ejpam-3196	365	6	)	)	PUNCT
ejpam-3196	365	7	=	=	SYM
ejpam-3196	365	8	h2(t	h2(t	X
ejpam-3196	365	9	)	)	PUNCT
ejpam-3196	365	10	=	=	PUNCT
ejpam-3196	366	1	t(1	t(1	PROPN
ejpam-3196	366	2	−	−	PROPN
ejpam-3196	366	3	t	t	PROPN
ejpam-3196	366	4	)	)	PUNCT
ejpam-3196	366	5	and	and	CCONJ
ejpam-3196	366	6	f	f	PROPN
ejpam-3196	366	7	′(x	′(x	PROPN
ejpam-3196	366	8	)	)	PUNCT
ejpam-3196	366	9	≤	≤	PUNCT
ejpam-3196	367	1	k	k	X
ejpam-3196	367	2	,	,	PUNCT
ejpam-3196	367	3	∀x	∀x	X
ejpam-3196	367	4	∈	∈	PROPN
ejpam-3196	368	1	i	i	PRON
ejpam-3196	368	2	,	,	PUNCT
ejpam-3196	368	3	we	we	PRON
ejpam-3196	368	4	get	get	VERB
ejpam-3196	368	5	the	the	DET
ejpam-3196	368	6	following	follow	VERB
ejpam-3196	368	7	hermite	hermite	ADJ
ejpam-3196	368	8	-	-	PUNCT
ejpam-3196	368	9	hadamard	hadamard	ADJ
ejpam-3196	368	10	-	-	PUNCT
ejpam-3196	368	11	fejér	fejér	NOUN
ejpam-3196	368	12	type	type	NOUN
ejpam-3196	368	13	inequality	inequality	NOUN
ejpam-3196	368	14	for	for	ADP
ejpam-3196	368	15	generalized	generalized	ADJ
ejpam-3196	368	16	relative	relative	ADJ
ejpam-3196	368	17	semi(m	semi(m	NOUN
ejpam-3196	368	18	,	,	PUNCT
ejpam-3196	368	19	tgs)-preinvex	tgs)-preinvex	ADJ
ejpam-3196	368	20	mappings	mapping	NOUN
ejpam-3196	368	21	via	via	ADP
ejpam-3196	368	22	k	k	ADJ
ejpam-3196	368	23	-	-	PUNCT
ejpam-3196	368	24	fractional	fractional	ADJ
ejpam-3196	368	25	integrals	integral	NOUN
ejpam-3196	368	26	:	:	PUNCT
ejpam-3196	368	27	∣∣if	∣∣if	ADJ
ejpam-3196	368	28	,	,	PUNCT
ejpam-3196	368	29	g	g	NOUN
ejpam-3196	368	30	,	,	PUNCT
ejpam-3196	368	31	η,ϕ(α	η,ϕ(α	X
ejpam-3196	368	32	,	,	PUNCT
ejpam-3196	368	33	k	k	PROPN
ejpam-3196	368	34	,	,	PUNCT
ejpam-3196	368	35	m	m	PROPN
ejpam-3196	368	36	,	,	PUNCT
ejpam-3196	368	37	a	a	DET
ejpam-3196	368	38	,	,	PUNCT
ejpam-3196	368	39	b	b	NOUN
ejpam-3196	368	40	)	)	PUNCT
ejpam-3196	368	41	∣∣	∣∣	X
ejpam-3196	368	42	≤	≤	NOUN
ejpam-3196	368	43	2k(m+	2k(m+	NUM
ejpam-3196	368	44	1	1	NUM
ejpam-3196	368	45	)	)	SYM
ejpam-3196	368	46	1	1	NUM
ejpam-3196	368	47	rq	rq	NOUN
ejpam-3196	368	48	‖g‖	‖g‖	VERB
ejpam-3196	368	49	α	α	PRON
ejpam-3196	368	50	k∞η	k∞η	NOUN
ejpam-3196	368	51	α	α	PROPN
ejpam-3196	368	52	k	k	PROPN
ejpam-3196	368	53	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	368	54	)	)	PUNCT
ejpam-3196	368	55	,	,	PUNCT
ejpam-3196	368	56	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	368	57	)	)	PUNCT
ejpam-3196	368	58	(	(	PUNCT
ejpam-3196	368	59	α	α	NOUN
ejpam-3196	368	60	k	k	PROPN
ejpam-3196	369	1	+	+	PROPN
ejpam-3196	369	2	1	1	NUM
ejpam-3196	369	3	)	)	PUNCT
ejpam-3196	369	4	1−	1−	NUM
ejpam-3196	369	5	1	1	NUM
ejpam-3196	369	6	q	q	NOUN
ejpam-3196	369	7	β	β	X
ejpam-3196	369	8	1	1	NUM
ejpam-3196	369	9	q	q	NOUN
ejpam-3196	369	10	(	(	PUNCT
ejpam-3196	369	11	1	1	NUM
ejpam-3196	369	12	+	+	SYM
ejpam-3196	369	13	1	1	NUM
ejpam-3196	369	14	r	r	NOUN
ejpam-3196	369	15	,	,	PUNCT
ejpam-3196	369	16	α	α	PROPN
ejpam-3196	369	17	k	k	PROPN
ejpam-3196	370	1	+	+	CCONJ
ejpam-3196	370	2	1	1	NUM
ejpam-3196	370	3	r	r	NOUN
ejpam-3196	370	4	+	+	NOUN
ejpam-3196	370	5	1	1	NUM
ejpam-3196	370	6	)	)	PUNCT
ejpam-3196	370	7	.	.	PUNCT
ejpam-3196	371	1	(	(	PUNCT
ejpam-3196	371	2	33	33	NUM
ejpam-3196	371	3	)	)	PUNCT
ejpam-3196	371	4	corollary	corollary	ADJ
ejpam-3196	371	5	14	14	NUM
ejpam-3196	371	6	.	.	PUNCT
ejpam-3196	372	1	in	in	ADP
ejpam-3196	372	2	theorem	theorem	NOUN
ejpam-3196	372	3	4	4	NUM
ejpam-3196	372	4	for	for	ADP
ejpam-3196	372	5	h1(t	h1(t	PRON
ejpam-3196	372	6	)	)	PUNCT
ejpam-3196	372	7	=	=	SYM
ejpam-3196	372	8	√	√	PROPN
ejpam-3196	373	1	1−	1−	NUM
ejpam-3196	373	2	t	t	PROPN
ejpam-3196	373	3	2	2	NUM
ejpam-3196	373	4	√	√	PROPN
ejpam-3196	373	5	t	t	PROPN
ejpam-3196	373	6	,	,	PUNCT
ejpam-3196	373	7	h2(t	h2(t	X
ejpam-3196	373	8	)	)	PUNCT
ejpam-3196	373	9	=	=	PUNCT
ejpam-3196	374	1	√	√	PROPN
ejpam-3196	374	2	t	t	NOUN
ejpam-3196	374	3	2	2	NUM
ejpam-3196	374	4	√	√	PROPN
ejpam-3196	374	5	1−	1−	NUM
ejpam-3196	374	6	t	t	PROPN
ejpam-3196	374	7	and	and	CCONJ
ejpam-3196	374	8	f	f	PROPN
ejpam-3196	374	9	′(x	′(x	PROPN
ejpam-3196	374	10	)	)	PUNCT
ejpam-3196	374	11	≤	≤	PUNCT
ejpam-3196	375	1	k	k	X
ejpam-3196	375	2	,	,	PUNCT
ejpam-3196	375	3	∀x	∀x	X
ejpam-3196	375	4	∈	∈	PROPN
ejpam-3196	376	1	i	i	PRON
ejpam-3196	376	2	,	,	PUNCT
ejpam-3196	376	3	we	we	PRON
ejpam-3196	376	4	get	get	VERB
ejpam-3196	376	5	the	the	DET
ejpam-3196	376	6	following	follow	VERB
ejpam-3196	376	7	hermite	hermite	ADJ
ejpam-3196	376	8	-	-	PUNCT
ejpam-3196	376	9	hadamard	hadamard	ADJ
ejpam-3196	376	10	-	-	PUNCT
ejpam-3196	376	11	fejér	fejér	NOUN
ejpam-3196	376	12	type	type	NOUN
ejpam-3196	376	13	inequality	inequality	NOUN
ejpam-3196	376	14	for	for	ADP
ejpam-3196	376	15	generalized	generalized	ADJ
ejpam-3196	376	16	relative	relative	ADJ
ejpam-3196	376	17	semi(r;m)-mt	semi(r;m)-mt	NOUN
ejpam-3196	376	18	-preinvex	-preinvex	NOUN
ejpam-3196	376	19	mappings	mapping	NOUN
ejpam-3196	376	20	via	via	ADP
ejpam-3196	376	21	k	k	ADJ
ejpam-3196	376	22	-	-	PUNCT
ejpam-3196	376	23	fractional	fractional	ADJ
ejpam-3196	376	24	integrals	integral	NOUN
ejpam-3196	376	25	:	:	PUNCT
ejpam-3196	376	26	∣∣if	∣∣if	ADJ
ejpam-3196	376	27	,	,	PUNCT
ejpam-3196	376	28	g	g	NOUN
ejpam-3196	376	29	,	,	PUNCT
ejpam-3196	376	30	η,ϕ(α	η,ϕ(α	X
ejpam-3196	376	31	,	,	PUNCT
ejpam-3196	376	32	k	k	PROPN
ejpam-3196	376	33	,	,	PUNCT
ejpam-3196	376	34	m	m	PROPN
ejpam-3196	376	35	,	,	PUNCT
ejpam-3196	376	36	a	a	DET
ejpam-3196	376	37	,	,	PUNCT
ejpam-3196	376	38	b	b	NOUN
ejpam-3196	376	39	)	)	PUNCT
ejpam-3196	376	40	∣∣	∣∣	PROPN
ejpam-3196	376	41	≤	≤	NUM
ejpam-3196	376	42	(	(	PUNCT
ejpam-3196	376	43	1	1	NUM
ejpam-3196	376	44	2	2	NUM
ejpam-3196	376	45	)	)	PUNCT
ejpam-3196	376	46	1	1	NUM
ejpam-3196	376	47	rq	rq	NOUN
ejpam-3196	376	48	k‖g‖	k‖g‖	PROPN
ejpam-3196	376	49	α	α	PROPN
ejpam-3196	376	50	k∞η	k∞η	PROPN
ejpam-3196	376	51	α	α	PROPN
ejpam-3196	376	52	k	k	PROPN
ejpam-3196	376	53	+1(ϕ(b	+1(ϕ(b	PROPN
ejpam-3196	376	54	)	)	PUNCT
ejpam-3196	376	55	,	,	PUNCT
ejpam-3196	376	56	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3196	376	57	)	)	PUNCT
ejpam-3196	376	58	(	(	PUNCT
ejpam-3196	376	59	α	α	NOUN
ejpam-3196	376	60	k	k	PROPN
ejpam-3196	377	1	+	+	PROPN
ejpam-3196	377	2	1	1	NUM
ejpam-3196	377	3	)	)	PUNCT
ejpam-3196	377	4	1−	1−	NUM
ejpam-3196	377	5	1	1	NUM
ejpam-3196	377	6	q	q	NOUN
ejpam-3196	377	7	×	×	NOUN
ejpam-3196	377	8	{	{	PUNCT
ejpam-3196	377	9	[	[	PUNCT
ejpam-3196	377	10	mβr	mβr	NOUN
ejpam-3196	377	11	(	(	PUNCT
ejpam-3196	377	12	α	α	NOUN
ejpam-3196	377	13	k	k	NOUN
ejpam-3196	378	1	−	−	PROPN
ejpam-3196	378	2	1	1	NUM
ejpam-3196	378	3	2r	2r	NUM
ejpam-3196	378	4	+	+	CCONJ
ejpam-3196	378	5	1	1	NUM
ejpam-3196	378	6	,	,	PUNCT
ejpam-3196	378	7	1	1	NUM
ejpam-3196	378	8	+	+	SYM
ejpam-3196	378	9	1	1	NUM
ejpam-3196	378	10	2r	2r	NUM
ejpam-3196	378	11	)	)	PUNCT
ejpam-3196	379	1	+	+	CCONJ
ejpam-3196	379	2	βr	βr	INTJ
ejpam-3196	379	3	(	(	PUNCT
ejpam-3196	379	4	α	α	NOUN
ejpam-3196	379	5	k	k	PROPN
ejpam-3196	380	1	+	+	CCONJ
ejpam-3196	380	2	1	1	NUM
ejpam-3196	380	3	2r	2r	NUM
ejpam-3196	380	4	+	+	CCONJ
ejpam-3196	380	5	1	1	NUM
ejpam-3196	380	6	,	,	PUNCT
ejpam-3196	380	7	1−	1−	NUM
ejpam-3196	380	8	1	1	NUM
ejpam-3196	380	9	2r	2r	NUM
ejpam-3196	380	10	)	)	PUNCT
ejpam-3196	380	11	]	]	PUNCT
ejpam-3196	380	12	1	1	NUM
ejpam-3196	380	13	rq	rq	NOUN
ejpam-3196	380	14	+	+	CCONJ
ejpam-3196	380	15	[	[	PUNCT
ejpam-3196	380	16	mβr	mβr	NOUN
ejpam-3196	380	17	(	(	PUNCT
ejpam-3196	380	18	α	α	NOUN
ejpam-3196	380	19	k	k	PROPN
ejpam-3196	381	1	+	+	CCONJ
ejpam-3196	381	2	1	1	NUM
ejpam-3196	381	3	2r	2r	NUM
ejpam-3196	381	4	+	+	CCONJ
ejpam-3196	381	5	1	1	NUM
ejpam-3196	381	6	,	,	PUNCT
ejpam-3196	381	7	1−	1−	NUM
ejpam-3196	381	8	1	1	NUM
ejpam-3196	381	9	2r	2r	NUM
ejpam-3196	381	10	)	)	PUNCT
ejpam-3196	382	1	+	+	CCONJ
ejpam-3196	382	2	βr	βr	INTJ
ejpam-3196	382	3	(	(	PUNCT
ejpam-3196	382	4	α	α	NOUN
ejpam-3196	382	5	k	k	NOUN
ejpam-3196	383	1	−	−	PROPN
ejpam-3196	383	2	1	1	NUM
ejpam-3196	383	3	2r	2r	NUM
ejpam-3196	383	4	+	+	CCONJ
ejpam-3196	383	5	1	1	NUM
ejpam-3196	383	6	,	,	PUNCT
ejpam-3196	383	7	1	1	NUM
ejpam-3196	383	8	+	+	SYM
ejpam-3196	383	9	1	1	NUM
ejpam-3196	383	10	2r	2r	NUM
ejpam-3196	383	11	)	)	PUNCT
ejpam-3196	383	12	]	]	PUNCT
ejpam-3196	383	13	1	1	NUM
ejpam-3196	383	14	rq	rq	NOUN
ejpam-3196	383	15	}	}	PUNCT
ejpam-3196	383	16	.	.	PUNCT
ejpam-3196	384	1	(	(	PUNCT
ejpam-3196	384	2	34	34	NUM
ejpam-3196	384	3	)	)	PUNCT
ejpam-3196	384	4	remark	remark	NOUN
ejpam-3196	384	5	7	7	NUM
ejpam-3196	384	6	.	.	PUNCT
ejpam-3196	384	7	for	for	ADP
ejpam-3196	384	8	k	k	PROPN
ejpam-3196	384	9	=	=	SYM
ejpam-3196	384	10	1	1	NUM
ejpam-3196	384	11	,	,	PUNCT
ejpam-3196	384	12	by	by	ADP
ejpam-3196	384	13	our	our	PRON
ejpam-3196	384	14	theorems	theorem	NOUN
ejpam-3196	384	15	3	3	NUM
ejpam-3196	384	16	and	and	CCONJ
ejpam-3196	384	17	4	4	NUM
ejpam-3196	384	18	,	,	PUNCT
ejpam-3196	384	19	we	we	PRON
ejpam-3196	384	20	can	can	AUX
ejpam-3196	384	21	get	get	VERB
ejpam-3196	384	22	some	some	DET
ejpam-3196	384	23	new	new	ADJ
ejpam-3196	384	24	special	special	ADJ
ejpam-3196	384	25	hermitehadamard	hermitehadamard	NOUN
ejpam-3196	384	26	-	-	PUNCT
ejpam-3196	384	27	fejér	fejér	NOUN
ejpam-3196	384	28	type	type	NOUN
ejpam-3196	384	29	inequalities	inequality	NOUN
ejpam-3196	384	30	associated	associate	VERB
ejpam-3196	384	31	with	with	ADP
ejpam-3196	384	32	generalized	generalized	ADJ
ejpam-3196	384	33	relative	relative	ADJ
ejpam-3196	384	34	semi-(r;m	semi-(r;m	PROPN
ejpam-3196	384	35	,	,	PUNCT
ejpam-3196	384	36	h1	h1	NOUN
ejpam-3196	384	37	,	,	PUNCT
ejpam-3196	384	38	h2)preinvex	h2)preinvex	ADJ
ejpam-3196	384	39	mappings	mapping	NOUN
ejpam-3196	384	40	via	via	ADP
ejpam-3196	384	41	fractional	fractional	ADJ
ejpam-3196	384	42	integrals	integral	NOUN
ejpam-3196	384	43	of	of	ADP
ejpam-3196	384	44	order	order	NOUN
ejpam-3196	384	45	α	α	X
ejpam-3196	384	46	>	>	X
ejpam-3196	384	47	0	0	X
ejpam-3196	384	48	.	.	PUNCT
ejpam-3196	384	49	remark	remark	PROPN
ejpam-3196	384	50	8	8	NUM
ejpam-3196	384	51	.	.	PUNCT
ejpam-3196	385	1	also	also	ADV
ejpam-3196	385	2	,	,	PUNCT
ejpam-3196	385	3	applying	apply	VERB
ejpam-3196	385	4	our	our	PRON
ejpam-3196	385	5	theorems	theorem	NOUN
ejpam-3196	385	6	3	3	NUM
ejpam-3196	385	7	and	and	CCONJ
ejpam-3196	385	8	4	4	NUM
ejpam-3196	385	9	,	,	PUNCT
ejpam-3196	385	10	we	we	PRON
ejpam-3196	385	11	can	can	AUX
ejpam-3196	385	12	deduce	deduce	VERB
ejpam-3196	385	13	some	some	DET
ejpam-3196	385	14	new	new	ADJ
ejpam-3196	385	15	inequalities	inequality	NOUN
ejpam-3196	385	16	using	use	VERB
ejpam-3196	385	17	special	special	ADJ
ejpam-3196	385	18	means	mean	NOUN
ejpam-3196	385	19	associated	associate	VERB
ejpam-3196	385	20	with	with	ADP
ejpam-3196	385	21	generalized	generalized	ADJ
ejpam-3196	385	22	relative	relative	ADJ
ejpam-3196	385	23	semi-(r;m	semi-(r;m	PROPN
ejpam-3196	385	24	,	,	PUNCT
ejpam-3196	385	25	h1	h1	NOUN
ejpam-3196	385	26	,	,	PUNCT
ejpam-3196	385	27	h2)-preinvex	h2)-preinvex	NOUN
ejpam-3196	385	28	mappings	mapping	NOUN
ejpam-3196	385	29	.	.	PUNCT
ejpam-3196	386	1	references	reference	NOUN
ejpam-3196	386	2	65	65	NUM
ejpam-3196	386	3	references	reference	NOUN
ejpam-3196	386	4	[	[	X
ejpam-3196	386	5	1	1	NUM
ejpam-3196	386	6	]	]	PUNCT
ejpam-3196	386	7	a.	a.	NOUN
ejpam-3196	386	8	akkurt	akkurt	PROPN
ejpam-3196	386	9	,	,	PUNCT
ejpam-3196	386	10	h.	h.	PROPN
ejpam-3196	386	11	yildirim	yildirim	PROPN
ejpam-3196	386	12	,	,	PUNCT
ejpam-3196	386	13	on	on	ADP
ejpam-3196	386	14	hermite	hermite	PROPN
ejpam-3196	386	15	-	-	PUNCT
ejpam-3196	386	16	hadamard	hadamard	ADJ
ejpam-3196	386	17	-	-	PUNCT
ejpam-3196	386	18	fejér	fejér	NOUN
ejpam-3196	386	19	type	type	NOUN
ejpam-3196	386	20	inequalities	inequality	NOUN
ejpam-3196	386	21	for	for	ADP
ejpam-3196	386	22	convex	convex	NOUN
ejpam-3196	386	23	functions	function	NOUN
ejpam-3196	386	24	via	via	ADP
ejpam-3196	386	25	fractional	fractional	ADJ
ejpam-3196	386	26	integrals	integral	NOUN
ejpam-3196	386	27	,	,	PUNCT
ejpam-3196	386	28	math	math	NOUN
ejpam-3196	386	29	.	.	PUNCT
ejpam-3196	387	1	morav	morav	PROPN
ejpam-3196	387	2	.	.	PUNCT
ejpam-3196	388	1	,	,	PUNCT
ejpam-3196	388	2	21	21	NUM
ejpam-3196	388	3	,	,	PUNCT
ejpam-3196	388	4	1	1	NUM
ejpam-3196	388	5	(	(	PUNCT
ejpam-3196	388	6	2017	2017	NUM
ejpam-3196	388	7	)	)	PUNCT
ejpam-3196	388	8	,	,	PUNCT
ejpam-3196	388	9	105	105	NUM
ejpam-3196	388	10	-	-	SYM
ejpam-3196	388	11	123	123	NUM
ejpam-3196	388	12	.	.	PUNCT
ejpam-3196	389	1	[	[	X
ejpam-3196	389	2	2	2	NUM
ejpam-3196	389	3	]	]	X
ejpam-3196	389	4	f.	f.	PROPN
ejpam-3196	389	5	chen	chen	PROPN
ejpam-3196	389	6	,	,	PUNCT
ejpam-3196	389	7	a	a	DET
ejpam-3196	389	8	note	note	NOUN
ejpam-3196	389	9	on	on	ADP
ejpam-3196	389	10	hermite	hermite	ADJ
ejpam-3196	389	11	-	-	PUNCT
ejpam-3196	389	12	hadamard	hadamard	ADJ
ejpam-3196	389	13	inequalities	inequality	NOUN
ejpam-3196	389	14	for	for	ADP
ejpam-3196	389	15	products	product	NOUN
ejpam-3196	389	16	of	of	ADP
ejpam-3196	389	17	convex	convex	NOUN
ejpam-3196	389	18	functions	function	NOUN
ejpam-3196	389	19	via	via	ADP
ejpam-3196	389	20	riemann	riemann	PROPN
ejpam-3196	389	21	-	-	PUNCT
ejpam-3196	389	22	liouville	liouville	VERB
ejpam-3196	389	23	fractional	fractional	ADJ
ejpam-3196	389	24	integrals	integral	NOUN
ejpam-3196	389	25	,	,	PUNCT
ejpam-3196	389	26	ital	ital	PROPN
ejpam-3196	389	27	.	.	PUNCT
ejpam-3196	390	1	j.	j.	PROPN
ejpam-3196	390	2	pure	pure	PROPN
ejpam-3196	390	3	appl	appl	PROPN
ejpam-3196	390	4	.	.	PUNCT
ejpam-3196	390	5	math	math	PROPN
ejpam-3196	390	6	.	.	PUNCT
ejpam-3196	390	7	,	,	PUNCT
ejpam-3196	390	8	33	33	NUM
ejpam-3196	390	9	,	,	PUNCT
ejpam-3196	390	10	(	(	PUNCT
ejpam-3196	390	11	2014	2014	NUM
ejpam-3196	390	12	)	)	PUNCT
ejpam-3196	390	13	,	,	PUNCT
ejpam-3196	390	14	299	299	NUM
ejpam-3196	390	15	-	-	SYM
ejpam-3196	390	16	306	306	NUM
ejpam-3196	390	17	.	.	PUNCT
ejpam-3196	391	1	[	[	X
ejpam-3196	391	2	3	3	X
ejpam-3196	391	3	]	]	X
ejpam-3196	391	4	y.	y.	PROPN
ejpam-3196	391	5	m.	m.	PROPN
ejpam-3196	391	6	chu	chu	PROPN
ejpam-3196	391	7	,	,	PUNCT
ejpam-3196	391	8	m.	m.	NOUN
ejpam-3196	391	9	a.	a.	PROPN
ejpam-3196	391	10	khan	khan	PROPN
ejpam-3196	391	11	,	,	PUNCT
ejpam-3196	391	12	t.	t.	PROPN
ejpam-3196	391	13	ali	ali	PROPN
ejpam-3196	391	14	,	,	PUNCT
ejpam-3196	391	15	s.	s.	PROPN
ejpam-3196	391	16	s.	s.	PROPN
ejpam-3196	391	17	dragomir	dragomir	PROPN
ejpam-3196	391	18	,	,	PUNCT
ejpam-3196	391	19	inequalities	inequality	NOUN
ejpam-3196	391	20	for	for	ADP
ejpam-3196	391	21	α	α	NOUN
ejpam-3196	391	22	-	-	PUNCT
ejpam-3196	391	23	fractional	fractional	ADJ
ejpam-3196	391	24	differentiable	differentiable	ADJ
ejpam-3196	391	25	functions	function	NOUN
ejpam-3196	391	26	,	,	PUNCT
ejpam-3196	391	27	j.	j.	PROPN
ejpam-3196	391	28	inequal	inequal	PROPN
ejpam-3196	391	29	.	.	PUNCT
ejpam-3196	392	1	appl	appl	PROPN
ejpam-3196	392	2	.	.	PROPN
ejpam-3196	392	3	,	,	PUNCT
ejpam-3196	392	4	(	(	PUNCT
ejpam-3196	392	5	2017	2017	NUM
ejpam-3196	392	6	)	)	PUNCT
ejpam-3196	392	7	2017:93	2017:93	NUM
ejpam-3196	392	8	,	,	PUNCT
ejpam-3196	392	9	doi10.1186	doi10.1186	PROPN
ejpam-3196	392	10	/	/	SYM
ejpam-3196	392	11	s13660	s13660	NOUN
ejpam-3196	392	12	-	-	NOUN
ejpam-3196	392	13	017	017	NUM
ejpam-3196	392	14	-	-	PUNCT
ejpam-3196	392	15	1371	1371	NUM
ejpam-3196	392	16	-	-	SYM
ejpam-3196	392	17	6	6	NUM
ejpam-3196	392	18	,	,	PUNCT
ejpam-3196	392	19	12	12	NUM
ejpam-3196	392	20	pages	page	NOUN
ejpam-3196	392	21	.	.	PUNCT
ejpam-3196	393	1	[	[	X
ejpam-3196	393	2	4	4	NUM
ejpam-3196	393	3	]	]	X
ejpam-3196	393	4	y.	y.	PROPN
ejpam-3196	393	5	m.	m.	PROPN
ejpam-3196	393	6	chu	chu	PROPN
ejpam-3196	393	7	,	,	PUNCT
ejpam-3196	393	8	g.	g.	PROPN
ejpam-3196	393	9	d.	d.	PROPN
ejpam-3196	393	10	wang	wang	PROPN
ejpam-3196	393	11	,	,	PUNCT
ejpam-3196	393	12	x.	x.	PROPN
ejpam-3196	393	13	h.	h.	PROPN
ejpam-3196	393	14	zhang	zhang	PROPN
ejpam-3196	393	15	,	,	PUNCT
ejpam-3196	393	16	schur	schur	PROPN
ejpam-3196	393	17	convexity	convexity	PROPN
ejpam-3196	393	18	and	and	CCONJ
ejpam-3196	393	19	hadamard	hadamard	NOUN
ejpam-3196	393	20	’s	’s	PART
ejpam-3196	393	21	inequality	inequality	NOUN
ejpam-3196	393	22	,	,	PUNCT
ejpam-3196	393	23	math	math	NOUN
ejpam-3196	393	24	.	.	PUNCT
ejpam-3196	394	1	inequal	inequal	PROPN
ejpam-3196	394	2	.	.	PUNCT
ejpam-3196	395	1	appl	appl	PROPN
ejpam-3196	395	2	.	.	PROPN
ejpam-3196	395	3	,	,	PUNCT
ejpam-3196	395	4	13	13	NUM
ejpam-3196	395	5	,	,	PUNCT
ejpam-3196	395	6	4	4	NUM
ejpam-3196	395	7	(	(	PUNCT
ejpam-3196	395	8	2010	2010	NUM
ejpam-3196	395	9	)	)	PUNCT
ejpam-3196	395	10	,	,	PUNCT
ejpam-3196	395	11	725	725	NUM
ejpam-3196	395	12	-	-	SYM
ejpam-3196	395	13	731	731	NUM
ejpam-3196	395	14	.	.	PUNCT
ejpam-3196	396	1	[	[	X
ejpam-3196	396	2	5	5	X
ejpam-3196	396	3	]	]	X
ejpam-3196	396	4	y.	y.	PROPN
ejpam-3196	396	5	m.	m.	PROPN
ejpam-3196	396	6	chu	chu	PROPN
ejpam-3196	396	7	,	,	PUNCT
ejpam-3196	396	8	m.	m.	NOUN
ejpam-3196	396	9	a.	a.	PROPN
ejpam-3196	396	10	khan	khan	PROPN
ejpam-3196	396	11	,	,	PUNCT
ejpam-3196	396	12	t.	t.	PROPN
ejpam-3196	396	13	u.	u.	PROPN
ejpam-3196	396	14	khan	khan	PROPN
ejpam-3196	396	15	,	,	PUNCT
ejpam-3196	396	16	t.	t.	PROPN
ejpam-3196	396	17	ali	ali	PROPN
ejpam-3196	396	18	,	,	PUNCT
ejpam-3196	396	19	generalizations	generalization	NOUN
ejpam-3196	396	20	of	of	ADP
ejpam-3196	396	21	hermite	hermite	ADJ
ejpam-3196	396	22	-	-	PUNCT
ejpam-3196	396	23	hadamard	hadamard	ADJ
ejpam-3196	396	24	type	type	NOUN
ejpam-3196	396	25	inequalities	inequality	NOUN
ejpam-3196	396	26	for	for	ADP
ejpam-3196	396	27	mt	mt	NOUN
ejpam-3196	396	28	-	-	PUNCT
ejpam-3196	396	29	convex	convex	NOUN
ejpam-3196	396	30	functions	function	NOUN
ejpam-3196	396	31	,	,	PUNCT
ejpam-3196	396	32	j.	j.	PROPN
ejpam-3196	396	33	nonlinear	nonlinear	PROPN
ejpam-3196	396	34	sci	sci	PROPN
ejpam-3196	396	35	.	.	PUNCT
ejpam-3196	396	36	appl	appl	PROPN
ejpam-3196	396	37	.	.	PROPN
ejpam-3196	396	38	,	,	PUNCT
ejpam-3196	396	39	9	9	NUM
ejpam-3196	396	40	,	,	PUNCT
ejpam-3196	396	41	5	5	NUM
ejpam-3196	396	42	(	(	PUNCT
ejpam-3196	396	43	2016	2016	NUM
ejpam-3196	396	44	)	)	PUNCT
ejpam-3196	396	45	,	,	PUNCT
ejpam-3196	396	46	43054316	43054316	NUM
ejpam-3196	396	47	.	.	PUNCT
ejpam-3196	397	1	[	[	X
ejpam-3196	397	2	6	6	NUM
ejpam-3196	397	3	]	]	PUNCT
ejpam-3196	397	4	z.	z.	PROPN
ejpam-3196	397	5	dahmani	dahmani	PROPN
ejpam-3196	397	6	,	,	PUNCT
ejpam-3196	397	7	on	on	ADP
ejpam-3196	397	8	minkowski	minkowski	ADJ
ejpam-3196	397	9	and	and	CCONJ
ejpam-3196	397	10	hermite	hermite	ADJ
ejpam-3196	397	11	-	-	PUNCT
ejpam-3196	397	12	hadamard	hadamard	ADJ
ejpam-3196	397	13	integral	integral	ADJ
ejpam-3196	397	14	inequalities	inequality	NOUN
ejpam-3196	397	15	via	via	ADP
ejpam-3196	397	16	fractional	fractional	ADJ
ejpam-3196	397	17	integration	integration	NOUN
ejpam-3196	397	18	,	,	PUNCT
ejpam-3196	397	19	ann	ann	PROPN
ejpam-3196	397	20	.	.	PUNCT
ejpam-3196	397	21	funct	funct	PROPN
ejpam-3196	397	22	.	.	PUNCT
ejpam-3196	398	1	anal	anal	PROPN
ejpam-3196	398	2	.	.	PROPN
ejpam-3196	398	3	,	,	PUNCT
ejpam-3196	398	4	1	1	NUM
ejpam-3196	398	5	,	,	PUNCT
ejpam-3196	398	6	1	1	NUM
ejpam-3196	398	7	(	(	PUNCT
ejpam-3196	398	8	2010	2010	NUM
ejpam-3196	398	9	)	)	PUNCT
ejpam-3196	398	10	,	,	PUNCT
ejpam-3196	398	11	51	51	NUM
ejpam-3196	398	12	-	-	SYM
ejpam-3196	398	13	58	58	NUM
ejpam-3196	398	14	.	.	PUNCT
ejpam-3196	399	1	[	[	X
ejpam-3196	399	2	7	7	X
ejpam-3196	399	3	]	]	PUNCT
ejpam-3196	399	4	s.	s.	PROPN
ejpam-3196	399	5	s.	s.	PROPN
ejpam-3196	399	6	dragomir	dragomir	PROPN
ejpam-3196	399	7	,	,	PUNCT
ejpam-3196	399	8	generalization	generalization	NOUN
ejpam-3196	399	9	,	,	PUNCT
ejpam-3196	399	10	refinement	refinement	NOUN
ejpam-3196	399	11	and	and	CCONJ
ejpam-3196	399	12	reverses	reverse	VERB
ejpam-3196	399	13	of	of	ADP
ejpam-3196	399	14	the	the	DET
ejpam-3196	399	15	right	right	ADJ
ejpam-3196	399	16	fejér	fejér	PROPN
ejpam-3196	399	17	inequality	inequality	NOUN
ejpam-3196	399	18	for	for	ADP
ejpam-3196	399	19	convex	convex	NOUN
ejpam-3196	399	20	functions	function	NOUN
ejpam-3196	399	21	,	,	PUNCT
ejpam-3196	399	22	j.	j.	PROPN
ejpam-3196	399	23	math	math	PROPN
ejpam-3196	399	24	.	.	PUNCT
ejpam-3196	399	25	,	,	PUNCT
ejpam-3196	399	26	punjab	punjab	PROPN
ejpam-3196	399	27	univ	univ	PROPN
ejpam-3196	399	28	.	.	PROPN
ejpam-3196	399	29	,	,	PUNCT
ejpam-3196	399	30	49	49	NUM
ejpam-3196	399	31	,	,	PUNCT
ejpam-3196	399	32	3	3	NUM
ejpam-3196	399	33	(	(	PUNCT
ejpam-3196	399	34	2017	2017	NUM
ejpam-3196	399	35	)	)	PUNCT
ejpam-3196	399	36	,	,	PUNCT
ejpam-3196	399	37	1	1	NUM
ejpam-3196	399	38	-	-	SYM
ejpam-3196	399	39	13	13	NUM
ejpam-3196	399	40	.	.	PUNCT
ejpam-3196	400	1	[	[	X
ejpam-3196	400	2	8	8	NUM
ejpam-3196	400	3	]	]	PUNCT
ejpam-3196	400	4	s.	s.	PROPN
ejpam-3196	400	5	s.	s.	PROPN
ejpam-3196	400	6	dragomir	dragomir	PROPN
ejpam-3196	400	7	,	,	PUNCT
ejpam-3196	400	8	j.	j.	PROPN
ejpam-3196	400	9	pečarić	pečarić	PROPN
ejpam-3196	400	10	,	,	PUNCT
ejpam-3196	400	11	l.	l.	PROPN
ejpam-3196	400	12	e.	e.	PROPN
ejpam-3196	400	13	persson	persson	PROPN
ejpam-3196	400	14	,	,	PUNCT
ejpam-3196	400	15	some	some	DET
ejpam-3196	400	16	inequalities	inequality	NOUN
ejpam-3196	400	17	of	of	ADP
ejpam-3196	400	18	hadamard	hadamard	ADJ
ejpam-3196	400	19	type	type	NOUN
ejpam-3196	400	20	,	,	PUNCT
ejpam-3196	400	21	soochow	soochow	PROPN
ejpam-3196	400	22	j.	j.	PROPN
ejpam-3196	400	23	math	math	PROPN
ejpam-3196	400	24	.	.	PROPN
ejpam-3196	400	25	,	,	PUNCT
ejpam-3196	400	26	21	21	NUM
ejpam-3196	400	27	,	,	PUNCT
ejpam-3196	400	28	(	(	PUNCT
ejpam-3196	400	29	1995	1995	NUM
ejpam-3196	400	30	)	)	PUNCT
ejpam-3196	400	31	,	,	PUNCT
ejpam-3196	400	32	335	335	NUM
ejpam-3196	400	33	-	-	SYM
ejpam-3196	400	34	341	341	NUM
ejpam-3196	400	35	.	.	PUNCT
ejpam-3196	401	1	[	[	X
ejpam-3196	401	2	9	9	NUM
ejpam-3196	401	3	]	]	PUNCT
ejpam-3196	401	4	t.	t.	PROPN
ejpam-3196	401	5	s.	s.	PROPN
ejpam-3196	401	6	du	du	PROPN
ejpam-3196	401	7	,	,	PUNCT
ejpam-3196	401	8	j.	j.	PROPN
ejpam-3196	401	9	g.	g.	PROPN
ejpam-3196	401	10	liao	liao	PROPN
ejpam-3196	401	11	,	,	PUNCT
ejpam-3196	401	12	y.	y.	PROPN
ejpam-3196	401	13	j.	j.	PROPN
ejpam-3196	401	14	li	li	PROPN
ejpam-3196	401	15	,	,	PUNCT
ejpam-3196	401	16	properties	property	NOUN
ejpam-3196	401	17	and	and	CCONJ
ejpam-3196	401	18	integral	integral	ADJ
ejpam-3196	401	19	inequalities	inequality	NOUN
ejpam-3196	401	20	of	of	ADP
ejpam-3196	401	21	hadamardsimpson	hadamardsimpson	PROPN
ejpam-3196	401	22	type	type	NOUN
ejpam-3196	401	23	for	for	ADP
ejpam-3196	401	24	the	the	DET
ejpam-3196	401	25	generalized	generalized	ADJ
ejpam-3196	401	26	(	(	PUNCT
ejpam-3196	401	27	s	s	X
ejpam-3196	401	28	,	,	PUNCT
ejpam-3196	401	29	m)-preinvex	m)-preinvex	NOUN
ejpam-3196	401	30	functions	function	NOUN
ejpam-3196	401	31	,	,	PUNCT
ejpam-3196	401	32	j.	j.	PROPN
ejpam-3196	401	33	nonlinear	nonlinear	PROPN
ejpam-3196	401	34	sci	sci	PROPN
ejpam-3196	401	35	.	.	PUNCT
ejpam-3196	401	36	appl	appl	PROPN
ejpam-3196	401	37	.	.	PROPN
ejpam-3196	401	38	,	,	PUNCT
ejpam-3196	401	39	9	9	NUM
ejpam-3196	401	40	,	,	PUNCT
ejpam-3196	401	41	(	(	PUNCT
ejpam-3196	401	42	2016	2016	NUM
ejpam-3196	401	43	)	)	PUNCT
ejpam-3196	401	44	,	,	PUNCT
ejpam-3196	401	45	3112	3112	NUM
ejpam-3196	401	46	-	-	SYM
ejpam-3196	401	47	3126	3126	NUM
ejpam-3196	401	48	.	.	PUNCT
ejpam-3196	402	1	[	[	X
ejpam-3196	402	2	10	10	NUM
ejpam-3196	402	3	]	]	X
ejpam-3196	402	4	g.	g.	PROPN
ejpam-3196	402	5	farid	farid	PROPN
ejpam-3196	402	6	,	,	PUNCT
ejpam-3196	402	7	a.	a.	PROPN
ejpam-3196	402	8	u.	u.	PROPN
ejpam-3196	402	9	rehman	rehman	PROPN
ejpam-3196	402	10	,	,	PUNCT
ejpam-3196	402	11	generalizations	generalization	NOUN
ejpam-3196	402	12	of	of	ADP
ejpam-3196	402	13	some	some	DET
ejpam-3196	402	14	integral	integral	ADJ
ejpam-3196	402	15	inequalities	inequality	NOUN
ejpam-3196	402	16	for	for	ADP
ejpam-3196	402	17	fractional	fractional	ADJ
ejpam-3196	402	18	integrals	integral	NOUN
ejpam-3196	402	19	,	,	PUNCT
ejpam-3196	402	20	ann	ann	PROPN
ejpam-3196	402	21	.	.	PROPN
ejpam-3196	402	22	math	math	PROPN
ejpam-3196	402	23	.	.	PUNCT
ejpam-3196	403	1	sil	sil	PROPN
ejpam-3196	403	2	.	.	PROPN
ejpam-3196	403	3	,	,	PUNCT
ejpam-3196	403	4	31	31	NUM
ejpam-3196	403	5	,	,	PUNCT
ejpam-3196	403	6	(	(	PUNCT
ejpam-3196	403	7	2017	2017	NUM
ejpam-3196	403	8	)	)	PUNCT
ejpam-3196	403	9	,	,	PUNCT
ejpam-3196	403	10	pp	pp	ADP
ejpam-3196	403	11	.	.	PUNCT
ejpam-3196	404	1	14	14	NUM
ejpam-3196	404	2	.	.	PUNCT
ejpam-3196	405	1	[	[	X
ejpam-3196	405	2	11	11	NUM
ejpam-3196	405	3	]	]	X
ejpam-3196	405	4	g.	g.	PROPN
ejpam-3196	405	5	farid	farid	PROPN
ejpam-3196	405	6	,	,	PUNCT
ejpam-3196	405	7	a.	a.	PROPN
ejpam-3196	405	8	javed	javed	PROPN
ejpam-3196	405	9	,	,	PUNCT
ejpam-3196	405	10	a.	a.	PROPN
ejpam-3196	405	11	u.	u.	PROPN
ejpam-3196	405	12	rehman	rehman	PROPN
ejpam-3196	405	13	,	,	PUNCT
ejpam-3196	405	14	on	on	ADP
ejpam-3196	405	15	hadamard	hadamard	ADJ
ejpam-3196	405	16	inequalities	inequality	NOUN
ejpam-3196	405	17	for	for	ADP
ejpam-3196	405	18	n	n	CCONJ
ejpam-3196	405	19	-	-	PUNCT
ejpam-3196	405	20	times	time	NOUN
ejpam-3196	405	21	differentiable	differentiable	ADJ
ejpam-3196	405	22	functions	function	NOUN
ejpam-3196	405	23	which	which	PRON
ejpam-3196	405	24	are	be	AUX
ejpam-3196	405	25	relative	relative	ADJ
ejpam-3196	405	26	convex	convex	NOUN
ejpam-3196	405	27	via	via	ADP
ejpam-3196	405	28	caputo	caputo	PROPN
ejpam-3196	405	29	k	k	PROPN
ejpam-3196	405	30	-	-	PUNCT
ejpam-3196	405	31	fractional	fractional	ADJ
ejpam-3196	405	32	derivatives	derivative	NOUN
ejpam-3196	405	33	,	,	PUNCT
ejpam-3196	405	34	nonlinear	nonlinear	ADJ
ejpam-3196	405	35	anal	anal	NOUN
ejpam-3196	405	36	.	.	PUNCT
ejpam-3196	406	1	forum	forum	PROPN
ejpam-3196	406	2	,	,	PUNCT
ejpam-3196	406	3	to	to	PART
ejpam-3196	406	4	appear	appear	VERB
ejpam-3196	406	5	.	.	PUNCT
ejpam-3196	407	1	[	[	X
ejpam-3196	407	2	12	12	NUM
ejpam-3196	407	3	]	]	PUNCT
ejpam-3196	407	4	l.	l.	PROPN
ejpam-3196	407	5	fejér	fejér	PROPN
ejpam-3196	407	6	,	,	PUNCT
ejpam-3196	407	7	uber	uber	NOUN
ejpam-3196	407	8	die	die	VERB
ejpam-3196	407	9	fourierreihen	fourierreihen	PROPN
ejpam-3196	407	10	,	,	PUNCT
ejpam-3196	407	11	ii	ii	PROPN
ejpam-3196	407	12	,	,	PUNCT
ejpam-3196	407	13	math	math	NOUN
ejpam-3196	407	14	.	.	PUNCT
ejpam-3196	408	1	naturwise	naturwise	PROPN
ejpam-3196	408	2	.	.	PUNCT
ejpam-3196	409	1	anz	anz	PROPN
ejpam-3196	409	2	ungar	ungar	PROPN
ejpam-3196	409	3	.	.	PUNCT
ejpam-3196	410	1	akad	akad	PROPN
ejpam-3196	410	2	.	.	PUNCT
ejpam-3196	411	1	,	,	PUNCT
ejpam-3196	411	2	wiss	wiss	PROPN
ejpam-3196	411	3	24	24	NUM
ejpam-3196	411	4	,	,	PUNCT
ejpam-3196	411	5	(	(	PUNCT
ejpam-3196	411	6	1906	1906	NUM
ejpam-3196	411	7	)	)	PUNCT
ejpam-3196	411	8	,	,	PUNCT
ejpam-3196	411	9	369	369	NUM
ejpam-3196	411	10	-	-	SYM
ejpam-3196	411	11	390	390	NUM
ejpam-3196	411	12	.	.	PUNCT
ejpam-3196	412	1	[	[	X
ejpam-3196	412	2	13	13	NUM
ejpam-3196	412	3	]	]	PUNCT
ejpam-3196	412	4	a.	a.	NOUN
ejpam-3196	412	5	fundo	fundo	PROPN
ejpam-3196	412	6	,	,	PUNCT
ejpam-3196	412	7	a.	a.	NOUN
ejpam-3196	412	8	kashuri	kashuri	PROPN
ejpam-3196	412	9	,	,	PUNCT
ejpam-3196	412	10	m.	m.	NOUN
ejpam-3196	412	11	ramosaçaj	ramosaçaj	PROPN
ejpam-3196	412	12	,	,	PUNCT
ejpam-3196	412	13	r.	r.	PROPN
ejpam-3196	412	14	liko	liko	PROPN
ejpam-3196	412	15	,	,	PUNCT
ejpam-3196	412	16	some	some	DET
ejpam-3196	412	17	new	new	ADJ
ejpam-3196	412	18	hermite	hermite	ADJ
ejpam-3196	412	19	-	-	PUNCT
ejpam-3196	412	20	hadamard	hadamard	ADJ
ejpam-3196	412	21	type	type	NOUN
ejpam-3196	412	22	conformable	conformable	ADJ
ejpam-3196	412	23	fractional	fractional	ADJ
ejpam-3196	412	24	integral	integral	ADJ
ejpam-3196	412	25	inequalities	inequality	NOUN
ejpam-3196	412	26	for	for	ADP
ejpam-3196	412	27	twice	twice	ADJ
ejpam-3196	412	28	differentiable	differentiable	ADJ
ejpam-3196	412	29	mt(r;g	mt(r;g	NOUN
ejpam-3196	412	30	,	,	PUNCT
ejpam-3196	412	31	m,ϕ)preinvex	m,ϕ)preinvex	PROPN
ejpam-3196	412	32	functions	function	NOUN
ejpam-3196	412	33	,	,	PUNCT
ejpam-3196	412	34	eur	eur	PROPN
ejpam-3196	412	35	.	.	PUNCT
ejpam-3196	413	1	j.	j.	PROPN
ejpam-3196	413	2	pure	pure	PROPN
ejpam-3196	413	3	appl	appl	PROPN
ejpam-3196	413	4	.	.	PUNCT
ejpam-3196	413	5	math	math	PROPN
ejpam-3196	413	6	.	.	PUNCT
ejpam-3196	414	1	,	,	PUNCT
ejpam-3196	414	2	10	10	NUM
ejpam-3196	414	3	,	,	PUNCT
ejpam-3196	414	4	4	4	NUM
ejpam-3196	414	5	(	(	PUNCT
ejpam-3196	414	6	2017	2017	NUM
ejpam-3196	414	7	)	)	PUNCT
ejpam-3196	414	8	,	,	PUNCT
ejpam-3196	414	9	809	809	NUM
ejpam-3196	414	10	-	-	SYM
ejpam-3196	414	11	834	834	NUM
ejpam-3196	414	12	.	.	PUNCT
ejpam-3196	415	1	references	reference	NOUN
ejpam-3196	415	2	66	66	NUM
ejpam-3196	416	1	[	[	X
ejpam-3196	416	2	14	14	NUM
ejpam-3196	416	3	]	]	X
ejpam-3196	416	4	i.	i.	PROPN
ejpam-3196	416	5	işcan	işcan	PROPN
ejpam-3196	416	6	,	,	PUNCT
ejpam-3196	416	7	m.	m.	NOUN
ejpam-3196	416	8	kunt	kunt	PROPN
ejpam-3196	416	9	,	,	PUNCT
ejpam-3196	416	10	hermite	hermite	PROPN
ejpam-3196	416	11	-	-	PUNCT
ejpam-3196	416	12	hadamard	hadamard	ADJ
ejpam-3196	416	13	-	-	PUNCT
ejpam-3196	416	14	fejér	fejér	NOUN
ejpam-3196	416	15	type	type	NOUN
ejpam-3196	416	16	inequalities	inequality	NOUN
ejpam-3196	416	17	for	for	ADP
ejpam-3196	416	18	harmonically	harmonically	ADV
ejpam-3196	416	19	quasi	quasi	ADJ
ejpam-3196	416	20	-	-	ADJ
ejpam-3196	416	21	convex	convex	ADJ
ejpam-3196	416	22	functions	function	NOUN
ejpam-3196	416	23	via	via	ADP
ejpam-3196	416	24	fractional	fractional	ADJ
ejpam-3196	416	25	integrals	integral	NOUN
ejpam-3196	416	26	,	,	PUNCT
ejpam-3196	416	27	kyungpook	kyungpook	NOUN
ejpam-3196	416	28	math	math	NOUN
ejpam-3196	416	29	.	.	PUNCT
ejpam-3196	417	1	j.	j.	PROPN
ejpam-3196	417	2	,	,	PUNCT
ejpam-3196	417	3	56	56	NUM
ejpam-3196	417	4	,	,	PUNCT
ejpam-3196	417	5	(	(	PUNCT
ejpam-3196	417	6	2016	2016	NUM
ejpam-3196	417	7	)	)	PUNCT
ejpam-3196	417	8	,	,	PUNCT
ejpam-3196	417	9	845	845	NUM
ejpam-3196	417	10	-	-	SYM
ejpam-3196	417	11	859	859	NUM
ejpam-3196	417	12	.	.	PUNCT
ejpam-3196	418	1	[	[	X
ejpam-3196	418	2	15	15	NUM
ejpam-3196	418	3	]	]	X
ejpam-3196	418	4	a.	a.	NOUN
ejpam-3196	418	5	kashuri	kashuri	PROPN
ejpam-3196	418	6	,	,	PUNCT
ejpam-3196	418	7	r.	r.	PROPN
ejpam-3196	418	8	liko	liko	PROPN
ejpam-3196	418	9	,	,	PUNCT
ejpam-3196	418	10	on	on	ADP
ejpam-3196	418	11	hermite	hermite	ADJ
ejpam-3196	418	12	-	-	PUNCT
ejpam-3196	418	13	hadamard	hadamard	ADJ
ejpam-3196	418	14	type	type	NOUN
ejpam-3196	418	15	inequalities	inequality	NOUN
ejpam-3196	418	16	for	for	ADP
ejpam-3196	418	17	generalized	generalized	ADJ
ejpam-3196	418	18	(	(	PUNCT
ejpam-3196	418	19	s	s	PROPN
ejpam-3196	418	20	,	,	PUNCT
ejpam-3196	418	21	m	m	PROPN
ejpam-3196	418	22	,	,	PUNCT
ejpam-3196	418	23	ϕ)preinvex	ϕ)preinvex	PROPN
ejpam-3196	418	24	functions	function	NOUN
ejpam-3196	418	25	via	via	ADP
ejpam-3196	418	26	k	k	ADJ
ejpam-3196	418	27	-	-	PUNCT
ejpam-3196	418	28	fractional	fractional	ADJ
ejpam-3196	418	29	integrals	integral	NOUN
ejpam-3196	418	30	,	,	PUNCT
ejpam-3196	418	31	adv	adv	PROPN
ejpam-3196	418	32	.	.	PUNCT
ejpam-3196	418	33	inequal	inequal	PROPN
ejpam-3196	418	34	.	.	PUNCT
ejpam-3196	419	1	appl	appl	PROPN
ejpam-3196	419	2	.	.	PROPN
ejpam-3196	419	3	,	,	PUNCT
ejpam-3196	419	4	6	6	NUM
ejpam-3196	419	5	,	,	PUNCT
ejpam-3196	419	6	(	(	PUNCT
ejpam-3196	419	7	2017	2017	NUM
ejpam-3196	419	8	)	)	PUNCT
ejpam-3196	419	9	,	,	PUNCT
ejpam-3196	419	10	1	1	NUM
ejpam-3196	419	11	-	-	SYM
ejpam-3196	419	12	12	12	NUM
ejpam-3196	419	13	.	.	PUNCT
ejpam-3196	420	1	[	[	X
ejpam-3196	420	2	16	16	NUM
ejpam-3196	420	3	]	]	PUNCT
ejpam-3196	420	4	a.	a.	NOUN
ejpam-3196	420	5	kashuri	kashuri	PROPN
ejpam-3196	420	6	,	,	PUNCT
ejpam-3196	420	7	r.	r.	PROPN
ejpam-3196	420	8	liko	liko	PROPN
ejpam-3196	420	9	,	,	PUNCT
ejpam-3196	420	10	generalizations	generalization	NOUN
ejpam-3196	420	11	of	of	ADP
ejpam-3196	420	12	hermite	hermite	PROPN
ejpam-3196	420	13	-	-	PUNCT
ejpam-3196	420	14	hadamard	hadamard	ADJ
ejpam-3196	420	15	and	and	CCONJ
ejpam-3196	420	16	ostrowski	ostrowski	ADJ
ejpam-3196	420	17	type	type	NOUN
ejpam-3196	420	18	inequalities	inequality	NOUN
ejpam-3196	420	19	for	for	ADP
ejpam-3196	420	20	mtm	mtm	ADJ
ejpam-3196	420	21	-	-	PUNCT
ejpam-3196	420	22	preinvex	preinvex	NOUN
ejpam-3196	420	23	functions	function	NOUN
ejpam-3196	420	24	,	,	PUNCT
ejpam-3196	420	25	proyecciones	proyeccione	NOUN
ejpam-3196	420	26	,	,	PUNCT
ejpam-3196	420	27	36	36	NUM
ejpam-3196	420	28	,	,	PUNCT
ejpam-3196	420	29	1	1	NUM
ejpam-3196	420	30	(	(	PUNCT
ejpam-3196	420	31	2017	2017	NUM
ejpam-3196	420	32	)	)	PUNCT
ejpam-3196	420	33	,	,	PUNCT
ejpam-3196	420	34	45	45	NUM
ejpam-3196	420	35	-	-	SYM
ejpam-3196	420	36	80	80	NUM
ejpam-3196	420	37	.	.	PUNCT
ejpam-3196	421	1	[	[	X
ejpam-3196	421	2	17	17	NUM
ejpam-3196	421	3	]	]	PUNCT
ejpam-3196	421	4	a.	a.	NOUN
ejpam-3196	421	5	kashuri	kashuri	PROPN
ejpam-3196	421	6	,	,	PUNCT
ejpam-3196	421	7	r.	r.	PROPN
ejpam-3196	421	8	liko	liko	PROPN
ejpam-3196	421	9	,	,	PUNCT
ejpam-3196	421	10	hermite	hermite	PROPN
ejpam-3196	421	11	-	-	PUNCT
ejpam-3196	421	12	hadamard	hadamard	ADJ
ejpam-3196	421	13	type	type	NOUN
ejpam-3196	421	14	fractional	fractional	ADJ
ejpam-3196	421	15	integral	integral	ADJ
ejpam-3196	421	16	inequalities	inequality	NOUN
ejpam-3196	421	17	for	for	ADP
ejpam-3196	421	18	generalized	generalized	ADJ
ejpam-3196	421	19	(	(	PUNCT
ejpam-3196	421	20	r	r	NOUN
ejpam-3196	421	21	;	;	PUNCT
ejpam-3196	421	22	s	s	X
ejpam-3196	421	23	,	,	PUNCT
ejpam-3196	421	24	m	m	PRON
ejpam-3196	421	25	,	,	PUNCT
ejpam-3196	421	26	ϕ)-preinvex	ϕ)-preinvex	NOUN
ejpam-3196	421	27	functions	function	NOUN
ejpam-3196	421	28	,	,	PUNCT
ejpam-3196	421	29	eur	eur	PROPN
ejpam-3196	421	30	.	.	PUNCT
ejpam-3196	422	1	j.	j.	PROPN
ejpam-3196	422	2	pure	pure	PROPN
ejpam-3196	422	3	appl	appl	PROPN
ejpam-3196	422	4	.	.	PUNCT
ejpam-3196	422	5	math	math	PROPN
ejpam-3196	422	6	.	.	PUNCT
ejpam-3196	423	1	,	,	PUNCT
ejpam-3196	423	2	10	10	NUM
ejpam-3196	423	3	,	,	PUNCT
ejpam-3196	423	4	3	3	NUM
ejpam-3196	423	5	(	(	PUNCT
ejpam-3196	423	6	2017	2017	NUM
ejpam-3196	423	7	)	)	PUNCT
ejpam-3196	423	8	,	,	PUNCT
ejpam-3196	423	9	495	495	NUM
ejpam-3196	423	10	-	-	SYM
ejpam-3196	423	11	505	505	NUM
ejpam-3196	423	12	.	.	PUNCT
ejpam-3196	424	1	[	[	X
ejpam-3196	424	2	18	18	NUM
ejpam-3196	424	3	]	]	PUNCT
ejpam-3196	424	4	a.	a.	NOUN
ejpam-3196	424	5	kashuri	kashuri	PROPN
ejpam-3196	424	6	,	,	PUNCT
ejpam-3196	424	7	r.	r.	PROPN
ejpam-3196	424	8	liko	liko	PROPN
ejpam-3196	424	9	,	,	PUNCT
ejpam-3196	424	10	hermite	hermite	PROPN
ejpam-3196	424	11	-	-	PUNCT
ejpam-3196	424	12	hadamard	hadamard	ADJ
ejpam-3196	424	13	type	type	NOUN
ejpam-3196	424	14	fractional	fractional	ADJ
ejpam-3196	424	15	integral	integral	ADJ
ejpam-3196	424	16	inequalities	inequality	NOUN
ejpam-3196	424	17	for	for	ADP
ejpam-3196	424	18	twice	twice	ADV
ejpam-3196	424	19	differentiable	differentiable	ADJ
ejpam-3196	424	20	generalized	generalize	VERB
ejpam-3196	424	21	(	(	PUNCT
ejpam-3196	424	22	s	s	PROPN
ejpam-3196	424	23	,	,	PUNCT
ejpam-3196	424	24	m	m	PRON
ejpam-3196	424	25	,	,	PUNCT
ejpam-3196	424	26	ϕ)-preinvex	ϕ)-preinvex	NOUN
ejpam-3196	424	27	functions	function	NOUN
ejpam-3196	424	28	,	,	PUNCT
ejpam-3196	424	29	konuralp	konuralp	PROPN
ejpam-3196	424	30	j.	j.	PROPN
ejpam-3196	424	31	math	math	PROPN
ejpam-3196	424	32	.	.	PUNCT
ejpam-3196	424	33	,	,	PUNCT
ejpam-3196	424	34	5	5	NUM
ejpam-3196	424	35	,	,	PUNCT
ejpam-3196	424	36	2	2	NUM
ejpam-3196	424	37	(	(	PUNCT
ejpam-3196	424	38	2017	2017	NUM
ejpam-3196	424	39	)	)	PUNCT
ejpam-3196	424	40	,	,	PUNCT
ejpam-3196	424	41	228	228	NUM
ejpam-3196	424	42	-	-	SYM
ejpam-3196	424	43	238	238	NUM
ejpam-3196	424	44	.	.	PUNCT
ejpam-3196	425	1	[	[	X
ejpam-3196	425	2	19	19	NUM
ejpam-3196	425	3	]	]	PUNCT
ejpam-3196	425	4	a.	a.	NOUN
ejpam-3196	425	5	kashuri	kashuri	PROPN
ejpam-3196	425	6	,	,	PUNCT
ejpam-3196	425	7	r.	r.	PROPN
ejpam-3196	425	8	liko	liko	PROPN
ejpam-3196	425	9	,	,	PUNCT
ejpam-3196	425	10	hermite	hermite	PROPN
ejpam-3196	425	11	-	-	PUNCT
ejpam-3196	425	12	hadamard	hadamard	ADJ
ejpam-3196	425	13	type	type	NOUN
ejpam-3196	425	14	inequalities	inequality	NOUN
ejpam-3196	425	15	for	for	ADP
ejpam-3196	425	16	generalized	generalized	ADJ
ejpam-3196	425	17	(	(	PUNCT
ejpam-3196	425	18	s	s	PROPN
ejpam-3196	425	19	,	,	PUNCT
ejpam-3196	425	20	m	m	PROPN
ejpam-3196	425	21	,	,	PUNCT
ejpam-3196	425	22	ϕ)preinvex	ϕ)preinvex	PROPN
ejpam-3196	425	23	functions	function	NOUN
ejpam-3196	425	24	via	via	ADP
ejpam-3196	425	25	k	k	ADJ
ejpam-3196	425	26	-	-	PUNCT
ejpam-3196	425	27	fractional	fractional	ADJ
ejpam-3196	425	28	integrals	integral	NOUN
ejpam-3196	425	29	,	,	PUNCT
ejpam-3196	425	30	tbil	tbil	NOUN
ejpam-3196	425	31	.	.	PUNCT
ejpam-3196	425	32	math	math	PROPN
ejpam-3196	425	33	.	.	PUNCT
ejpam-3196	426	1	j.	j.	PROPN
ejpam-3196	426	2	,	,	PUNCT
ejpam-3196	426	3	10	10	NUM
ejpam-3196	426	4	,	,	PUNCT
ejpam-3196	426	5	4	4	NUM
ejpam-3196	426	6	(	(	PUNCT
ejpam-3196	426	7	2017	2017	NUM
ejpam-3196	426	8	)	)	PUNCT
ejpam-3196	426	9	,	,	PUNCT
ejpam-3196	426	10	73	73	NUM
ejpam-3196	426	11	-	-	SYM
ejpam-3196	426	12	82	82	NUM
ejpam-3196	426	13	.	.	PUNCT
ejpam-3196	427	1	[	[	X
ejpam-3196	427	2	20	20	NUM
ejpam-3196	427	3	]	]	PUNCT
ejpam-3196	427	4	a.	a.	NOUN
ejpam-3196	427	5	kashuri	kashuri	PROPN
ejpam-3196	427	6	,	,	PUNCT
ejpam-3196	427	7	r.	r.	PROPN
ejpam-3196	427	8	liko	liko	PROPN
ejpam-3196	427	9	,	,	PUNCT
ejpam-3196	427	10	hermite	hermite	PROPN
ejpam-3196	427	11	-	-	PUNCT
ejpam-3196	427	12	hadamard	hadamard	ADJ
ejpam-3196	427	13	type	type	NOUN
ejpam-3196	427	14	fractional	fractional	ADJ
ejpam-3196	427	15	integral	integral	ADJ
ejpam-3196	427	16	inequalities	inequality	NOUN
ejpam-3196	427	17	for	for	ADP
ejpam-3196	427	18	mt(m,ϕ)-preinvex	mt(m,ϕ)-preinvex	PROPN
ejpam-3196	427	19	functions	function	NOUN
ejpam-3196	427	20	,	,	PUNCT
ejpam-3196	427	21	stud	stud	NOUN
ejpam-3196	427	22	.	.	PUNCT
ejpam-3196	427	23	univ	univ	PROPN
ejpam-3196	427	24	.	.	PUNCT
ejpam-3196	427	25	babeş-bolyai	babeş-bolyai	PROPN
ejpam-3196	427	26	,	,	PUNCT
ejpam-3196	427	27	math	math	NOUN
ejpam-3196	427	28	.	.	PUNCT
ejpam-3196	427	29	,	,	PUNCT
ejpam-3196	427	30	62	62	NUM
ejpam-3196	427	31	,	,	PUNCT
ejpam-3196	427	32	4	4	NUM
ejpam-3196	427	33	(	(	PUNCT
ejpam-3196	427	34	2017	2017	NUM
ejpam-3196	427	35	)	)	PUNCT
ejpam-3196	427	36	,	,	PUNCT
ejpam-3196	427	37	439	439	NUM
ejpam-3196	427	38	-	-	SYM
ejpam-3196	427	39	450	450	NUM
ejpam-3196	427	40	.	.	PUNCT
ejpam-3196	428	1	[	[	X
ejpam-3196	428	2	21	21	NUM
ejpam-3196	428	3	]	]	PUNCT
ejpam-3196	428	4	a.	a.	NOUN
ejpam-3196	428	5	kashuri	kashuri	PROPN
ejpam-3196	428	6	,	,	PUNCT
ejpam-3196	428	7	r.	r.	PROPN
ejpam-3196	428	8	liko	liko	PROPN
ejpam-3196	428	9	,	,	PUNCT
ejpam-3196	428	10	hermite	hermite	PROPN
ejpam-3196	428	11	-	-	PUNCT
ejpam-3196	428	12	hadamard	hadamard	ADJ
ejpam-3196	428	13	type	type	NOUN
ejpam-3196	428	14	fractional	fractional	ADJ
ejpam-3196	428	15	integral	integral	ADJ
ejpam-3196	428	16	inequalities	inequality	NOUN
ejpam-3196	428	17	for	for	ADP
ejpam-3196	428	18	twice	twice	ADV
ejpam-3196	428	19	differentiable	differentiable	ADJ
ejpam-3196	428	20	generalized	generalize	VERB
ejpam-3196	428	21	beta	beta	NOUN
ejpam-3196	428	22	-	-	PUNCT
ejpam-3196	428	23	preinvex	preinvex	NOUN
ejpam-3196	428	24	functions	function	NOUN
ejpam-3196	428	25	,	,	PUNCT
ejpam-3196	428	26	j.	j.	PROPN
ejpam-3196	428	27	fract	fract	PROPN
ejpam-3196	428	28	.	.	PUNCT
ejpam-3196	429	1	calc	calc	PROPN
ejpam-3196	429	2	.	.	PUNCT
ejpam-3196	430	1	appl	appl	PROPN
ejpam-3196	430	2	.	.	PROPN
ejpam-3196	430	3	,	,	PUNCT
ejpam-3196	430	4	9	9	NUM
ejpam-3196	430	5	,	,	PUNCT
ejpam-3196	430	6	1	1	NUM
ejpam-3196	430	7	(	(	PUNCT
ejpam-3196	430	8	2018	2018	NUM
ejpam-3196	430	9	)	)	PUNCT
ejpam-3196	430	10	,	,	PUNCT
ejpam-3196	430	11	241	241	NUM
ejpam-3196	430	12	-	-	NUM
ejpam-3196	430	13	252	252	NUM
ejpam-3196	430	14	.	.	PUNCT
ejpam-3196	431	1	[	[	X
ejpam-3196	431	2	22	22	NUM
ejpam-3196	431	3	]	]	PUNCT
ejpam-3196	431	4	a.	a.	NOUN
ejpam-3196	431	5	kashuri	kashuri	PROPN
ejpam-3196	431	6	,	,	PUNCT
ejpam-3196	431	7	r.	r.	PROPN
ejpam-3196	431	8	liko	liko	PROPN
ejpam-3196	431	9	,	,	PUNCT
ejpam-3196	431	10	m.	m.	PROPN
ejpam-3196	431	11	adil	adil	PROPN
ejpam-3196	431	12	khan	khan	PROPN
ejpam-3196	431	13	,	,	PUNCT
ejpam-3196	431	14	y.	y.	PROPN
ejpam-3196	431	15	m.	m.	PROPN
ejpam-3196	431	16	chu	chu	PROPN
ejpam-3196	431	17	,	,	PUNCT
ejpam-3196	431	18	some	some	DET
ejpam-3196	431	19	new	new	ADJ
ejpam-3196	431	20	ostrowski	ostrowski	ADJ
ejpam-3196	431	21	type	type	NOUN
ejpam-3196	431	22	fractional	fractional	ADJ
ejpam-3196	431	23	integral	integral	ADJ
ejpam-3196	431	24	inequalities	inequality	NOUN
ejpam-3196	431	25	for	for	ADP
ejpam-3196	431	26	generalized	generalized	ADJ
ejpam-3196	431	27	(	(	PUNCT
ejpam-3196	431	28	r	r	NOUN
ejpam-3196	431	29	;	;	PUNCT
ejpam-3196	431	30	s	s	X
ejpam-3196	431	31	,	,	PUNCT
ejpam-3196	431	32	m	m	PRON
ejpam-3196	431	33	,	,	PUNCT
ejpam-3196	431	34	ϕ)-preinvex	ϕ)-preinvex	NOUN
ejpam-3196	431	35	functions	function	NOUN
ejpam-3196	431	36	via	via	ADP
ejpam-3196	431	37	caputo	caputo	PROPN
ejpam-3196	431	38	k	k	PROPN
ejpam-3196	431	39	-	-	PUNCT
ejpam-3196	431	40	fractional	fractional	ADJ
ejpam-3196	431	41	derivatives	derivative	NOUN
ejpam-3196	431	42	,	,	PUNCT
ejpam-3196	431	43	j.	j.	PROPN
ejpam-3196	431	44	fract	fract	PROPN
ejpam-3196	431	45	.	.	PUNCT
ejpam-3196	432	1	calc	calc	PROPN
ejpam-3196	432	2	.	.	PUNCT
ejpam-3196	433	1	appl	appl	PROPN
ejpam-3196	433	2	.	.	PROPN
ejpam-3196	433	3	,	,	PUNCT
ejpam-3196	433	4	9	9	NUM
ejpam-3196	433	5	,	,	PUNCT
ejpam-3196	433	6	2	2	NUM
ejpam-3196	433	7	(	(	PUNCT
ejpam-3196	433	8	2018	2018	NUM
ejpam-3196	433	9	)	)	PUNCT
ejpam-3196	433	10	,	,	PUNCT
ejpam-3196	433	11	163	163	NUM
ejpam-3196	433	12	-	-	SYM
ejpam-3196	433	13	177	177	NUM
ejpam-3196	433	14	.	.	PUNCT
ejpam-3196	434	1	[	[	X
ejpam-3196	434	2	23	23	NUM
ejpam-3196	434	3	]	]	PUNCT
ejpam-3196	434	4	m.	m.	NOUN
ejpam-3196	434	5	a.	a.	PROPN
ejpam-3196	434	6	khan	khan	PROPN
ejpam-3196	434	7	,	,	PUNCT
ejpam-3196	434	8	t.	t.	PROPN
ejpam-3196	434	9	ali	ali	PROPN
ejpam-3196	434	10	,	,	PUNCT
ejpam-3196	434	11	s.	s.	PROPN
ejpam-3196	434	12	s.	s.	PROPN
ejpam-3196	434	13	dragomir	dragomir	PROPN
ejpam-3196	434	14	,	,	PUNCT
ejpam-3196	434	15	m.	m.	NOUN
ejpam-3196	434	16	z.	z.	PROPN
ejpam-3196	434	17	sarikaya	sarikaya	PROPN
ejpam-3196	434	18	,	,	PUNCT
ejpam-3196	434	19	hermite	hermite	PROPN
ejpam-3196	434	20	-	-	PUNCT
ejpam-3196	434	21	hadamard	hadamard	ADJ
ejpam-3196	434	22	type	type	NOUN
ejpam-3196	434	23	inequalities	inequality	NOUN
ejpam-3196	434	24	for	for	ADP
ejpam-3196	434	25	conformable	conformable	ADJ
ejpam-3196	434	26	fractional	fractional	ADJ
ejpam-3196	434	27	integrals	integral	NOUN
ejpam-3196	434	28	,	,	PUNCT
ejpam-3196	434	29	revista	revista	X
ejpam-3196	434	30	de	de	X
ejpam-3196	434	31	la	la	PROPN
ejpam-3196	434	32	real	real	PROPN
ejpam-3196	434	33	academia	academia	PROPN
ejpam-3196	434	34	de	de	PROPN
ejpam-3196	434	35	ciencias	ciencias	PROPN
ejpam-3196	434	36	exactas	exacta	NOUN
ejpam-3196	434	37	,	,	PUNCT
ejpam-3196	434	38	fsicas	fsicas	PROPN
ejpam-3196	434	39	y	y	PROPN
ejpam-3196	434	40	naturales	naturales	PROPN
ejpam-3196	434	41	.	.	PUNCT
ejpam-3196	434	42	serie	serie	PROPN
ejpam-3196	434	43	a.	a.	NOUN
ejpam-3196	434	44	matemticas	matemticas	PROPN
ejpam-3196	434	45	,	,	PUNCT
ejpam-3196	434	46	(	(	PUNCT
ejpam-3196	434	47	2017	2017	NUM
ejpam-3196	434	48	)	)	PUNCT
ejpam-3196	434	49	,	,	PUNCT
ejpam-3196	434	50	doi:10.1007	doi:10.1007	VERB
ejpam-3196	434	51	/	/	SYM
ejpam-3196	434	52	s13398	s13398	NOUN
ejpam-3196	434	53	-	-	PUNCT
ejpam-3196	434	54	0170408	0170408	NUM
ejpam-3196	434	55	-	-	PUNCT
ejpam-3196	434	56	5	5	NUM
ejpam-3196	434	57	.	.	PUNCT
ejpam-3196	435	1	[	[	X
ejpam-3196	435	2	24	24	NUM
ejpam-3196	435	3	]	]	PUNCT
ejpam-3196	435	4	m.	m.	NOUN
ejpam-3196	435	5	adil	adil	PROPN
ejpam-3196	435	6	khan	khan	PROPN
ejpam-3196	435	7	,	,	PUNCT
ejpam-3196	435	8	y.-m	y.-m	PROPN
ejpam-3196	435	9	.	.	PUNCT
ejpam-3196	436	1	chu	chu	PROPN
ejpam-3196	436	2	,	,	PUNCT
ejpam-3196	436	3	a.	a.	NOUN
ejpam-3196	436	4	kashuri	kashuri	PROPN
ejpam-3196	436	5	,	,	PUNCT
ejpam-3196	436	6	r.	r.	PROPN
ejpam-3196	436	7	liko	liko	PROPN
ejpam-3196	436	8	,	,	PUNCT
ejpam-3196	436	9	g.	g.	PROPN
ejpam-3196	436	10	ali	ali	PROPN
ejpam-3196	436	11	,	,	PUNCT
ejpam-3196	436	12	new	new	ADJ
ejpam-3196	436	13	hermite	hermite	PROPN
ejpam-3196	436	14	-	-	PUNCT
ejpam-3196	436	15	hadamard	hadamard	ADJ
ejpam-3196	436	16	inequalities	inequality	NOUN
ejpam-3196	436	17	for	for	ADP
ejpam-3196	436	18	conformable	conformable	ADJ
ejpam-3196	436	19	fractional	fractional	ADJ
ejpam-3196	436	20	integrals	integral	NOUN
ejpam-3196	436	21	,	,	PUNCT
ejpam-3196	436	22	j.	j.	PROPN
ejpam-3196	436	23	funct	funct	PROPN
ejpam-3196	436	24	.	.	PUNCT
ejpam-3196	437	1	spaces	space	NOUN
ejpam-3196	437	2	,	,	PUNCT
ejpam-3196	437	3	in	in	ADP
ejpam-3196	437	4	press	press	NOUN
ejpam-3196	437	5	.	.	PUNCT
ejpam-3196	438	1	[	[	X
ejpam-3196	438	2	25	25	NUM
ejpam-3196	438	3	]	]	PUNCT
ejpam-3196	438	4	m.	m.	NOUN
ejpam-3196	438	5	adil	adil	PROPN
ejpam-3196	438	6	khan	khan	PROPN
ejpam-3196	438	7	,	,	PUNCT
ejpam-3196	438	8	y.-m	y.-m	PROPN
ejpam-3196	438	9	.	.	PUNCT
ejpam-3196	438	10	chu	chu	PROPN
ejpam-3196	438	11	,	,	PUNCT
ejpam-3196	438	12	t.	t.	PROPN
ejpam-3196	438	13	u.	u.	PROPN
ejpam-3196	438	14	khan	khan	PROPN
ejpam-3196	438	15	,	,	PUNCT
ejpam-3196	438	16	j.	j.	PROPN
ejpam-3196	438	17	khan	khan	PROPN
ejpam-3196	438	18	,	,	PUNCT
ejpam-3196	438	19	some	some	DET
ejpam-3196	438	20	new	new	ADJ
ejpam-3196	438	21	inequalities	inequality	NOUN
ejpam-3196	438	22	of	of	ADP
ejpam-3196	438	23	hermitehadamard	hermitehadamard	ADJ
ejpam-3196	438	24	type	type	NOUN
ejpam-3196	438	25	for	for	ADP
ejpam-3196	438	26	s	s	NOUN
ejpam-3196	438	27	-	-	PUNCT
ejpam-3196	438	28	convex	convex	ADJ
ejpam-3196	438	29	functions	function	NOUN
ejpam-3196	438	30	with	with	ADP
ejpam-3196	438	31	applications	application	NOUN
ejpam-3196	438	32	,	,	PUNCT
ejpam-3196	438	33	open	open	ADJ
ejpam-3196	438	34	math	math	NOUN
ejpam-3196	438	35	.	.	PUNCT
ejpam-3196	438	36	,	,	PUNCT
ejpam-3196	438	37	15	15	NUM
ejpam-3196	438	38	,	,	PUNCT
ejpam-3196	438	39	(	(	PUNCT
ejpam-3196	438	40	2017	2017	NUM
ejpam-3196	438	41	)	)	PUNCT
ejpam-3196	438	42	,	,	PUNCT
ejpam-3196	438	43	1414	1414	NUM
ejpam-3196	438	44	-	-	SYM
ejpam-3196	438	45	1430	1430	NUM
ejpam-3196	438	46	.	.	PUNCT
ejpam-3196	439	1	[	[	X
ejpam-3196	439	2	26	26	NUM
ejpam-3196	439	3	]	]	PUNCT
ejpam-3196	439	4	m.	m.	NOUN
ejpam-3196	439	5	a.	a.	PROPN
ejpam-3196	439	6	khan	khan	PROPN
ejpam-3196	439	7	,	,	PUNCT
ejpam-3196	439	8	y.	y.	PROPN
ejpam-3196	439	9	khurshid	khurshid	PROPN
ejpam-3196	439	10	,	,	PUNCT
ejpam-3196	439	11	t.	t.	PROPN
ejpam-3196	439	12	ali	ali	PROPN
ejpam-3196	439	13	,	,	PUNCT
ejpam-3196	439	14	n.	n.	PROPN
ejpam-3196	439	15	rehman	rehman	PROPN
ejpam-3196	439	16	,	,	PUNCT
ejpam-3196	439	17	inequalities	inequality	NOUN
ejpam-3196	439	18	for	for	ADP
ejpam-3196	439	19	three	three	NUM
ejpam-3196	439	20	times	time	NOUN
ejpam-3196	439	21	differentiable	differentiable	ADJ
ejpam-3196	439	22	functions	function	NOUN
ejpam-3196	439	23	,	,	PUNCT
ejpam-3196	439	24	j.	j.	PROPN
ejpam-3196	439	25	math	math	PROPN
ejpam-3196	439	26	.	.	PUNCT
ejpam-3196	439	27	,	,	PUNCT
ejpam-3196	439	28	punjab	punjab	PROPN
ejpam-3196	439	29	univ	univ	PROPN
ejpam-3196	439	30	.	.	PROPN
ejpam-3196	439	31	,	,	PUNCT
ejpam-3196	439	32	48	48	NUM
ejpam-3196	439	33	,	,	PUNCT
ejpam-3196	439	34	2	2	NUM
ejpam-3196	439	35	(	(	PUNCT
ejpam-3196	439	36	2016	2016	NUM
ejpam-3196	439	37	)	)	PUNCT
ejpam-3196	439	38	,	,	PUNCT
ejpam-3196	439	39	35	35	NUM
ejpam-3196	439	40	-	-	SYM
ejpam-3196	439	41	48	48	NUM
ejpam-3196	439	42	.	.	PUNCT
ejpam-3196	440	1	[	[	X
ejpam-3196	440	2	27	27	NUM
ejpam-3196	440	3	]	]	PUNCT
ejpam-3196	440	4	m.	m.	NOUN
ejpam-3196	440	5	a.	a.	PROPN
ejpam-3196	440	6	khan	khan	PROPN
ejpam-3196	440	7	,	,	PUNCT
ejpam-3196	440	8	y.	y.	PROPN
ejpam-3196	440	9	khurshid	khurshid	PROPN
ejpam-3196	440	10	,	,	PUNCT
ejpam-3196	440	11	t.	t.	PROPN
ejpam-3196	440	12	ali	ali	PROPN
ejpam-3196	440	13	,	,	PUNCT
ejpam-3196	440	14	hermite	hermite	PROPN
ejpam-3196	440	15	-	-	PUNCT
ejpam-3196	440	16	hadamard	hadamard	ADJ
ejpam-3196	440	17	inequality	inequality	NOUN
ejpam-3196	440	18	for	for	ADP
ejpam-3196	440	19	fractional	fractional	ADJ
ejpam-3196	440	20	integrals	integral	NOUN
ejpam-3196	440	21	via	via	ADP
ejpam-3196	440	22	η	η	ADJ
ejpam-3196	440	23	-	-	ADJ
ejpam-3196	440	24	convex	convex	ADJ
ejpam-3196	440	25	functions	function	NOUN
ejpam-3196	440	26	,	,	PUNCT
ejpam-3196	440	27	acta	acta	PROPN
ejpam-3196	440	28	math	math	PROPN
ejpam-3196	440	29	.	.	PUNCT
ejpam-3196	441	1	univ	univ	PROPN
ejpam-3196	441	2	.	.	PUNCT
ejpam-3196	441	3	comenianae	comenianae	PROPN
ejpam-3196	441	4	,	,	PUNCT
ejpam-3196	441	5	79	79	NUM
ejpam-3196	441	6	,	,	PUNCT
ejpam-3196	441	7	1	1	NUM
ejpam-3196	441	8	(	(	PUNCT
ejpam-3196	441	9	2017	2017	NUM
ejpam-3196	441	10	)	)	PUNCT
ejpam-3196	441	11	,	,	PUNCT
ejpam-3196	441	12	153	153	NUM
ejpam-3196	441	13	-	-	SYM
ejpam-3196	441	14	164	164	NUM
ejpam-3196	441	15	.	.	PUNCT
ejpam-3196	442	1	references	reference	NOUN
ejpam-3196	442	2	67	67	NUM
ejpam-3196	443	1	[	[	X
ejpam-3196	443	2	28	28	NUM
ejpam-3196	443	3	]	]	X
ejpam-3196	443	4	m.	m.	NOUN
ejpam-3196	443	5	kunt	kunt	PROPN
ejpam-3196	443	6	,	,	PUNCT
ejpam-3196	443	7	i.	i.	PROPN
ejpam-3196	443	8	işcan	işcan	PROPN
ejpam-3196	443	9	,	,	PUNCT
ejpam-3196	443	10	hermite	hermite	ADJ
ejpam-3196	443	11	-	-	PUNCT
ejpam-3196	443	12	hadamard	hadamard	ADJ
ejpam-3196	443	13	-	-	PUNCT
ejpam-3196	443	14	fejér	fejér	NOUN
ejpam-3196	443	15	type	type	NOUN
ejpam-3196	443	16	inequalities	inequality	NOUN
ejpam-3196	443	17	for	for	ADP
ejpam-3196	443	18	p	p	NOUN
ejpam-3196	443	19	-	-	PUNCT
ejpam-3196	443	20	convex	convex	NOUN
ejpam-3196	443	21	functions	function	NOUN
ejpam-3196	443	22	,	,	PUNCT
ejpam-3196	443	23	arab	arab	PROPN
ejpam-3196	443	24	j.	j.	PROPN
ejpam-3196	443	25	math	math	PROPN
ejpam-3196	443	26	.	.	PUNCT
ejpam-3196	444	1	sci	sci	PROPN
ejpam-3196	444	2	.	.	PROPN
ejpam-3196	444	3	,	,	PUNCT
ejpam-3196	444	4	23	23	NUM
ejpam-3196	444	5	,	,	PUNCT
ejpam-3196	444	6	(	(	PUNCT
ejpam-3196	444	7	2017	2017	NUM
ejpam-3196	444	8	)	)	PUNCT
ejpam-3196	444	9	,	,	PUNCT
ejpam-3196	444	10	215	215	NUM
ejpam-3196	444	11	-	-	SYM
ejpam-3196	444	12	230	230	NUM
ejpam-3196	444	13	.	.	PUNCT
ejpam-3196	445	1	[	[	X
ejpam-3196	445	2	29	29	NUM
ejpam-3196	445	3	]	]	X
ejpam-3196	445	4	m.	m.	NOUN
ejpam-3196	445	5	kunt	kunt	PROPN
ejpam-3196	445	6	,	,	PUNCT
ejpam-3196	445	7	i.	i.	PROPN
ejpam-3196	445	8	işcan	işcan	PROPN
ejpam-3196	445	9	,	,	PUNCT
ejpam-3196	445	10	n.	n.	PROPN
ejpam-3196	445	11	yazici	yazici	PROPN
ejpam-3196	445	12	,	,	PUNCT
ejpam-3196	445	13	u.	u.	PROPN
ejpam-3196	445	14	gözütok	gözütok	PROPN
ejpam-3196	445	15	,	,	PUNCT
ejpam-3196	445	16	on	on	ADP
ejpam-3196	445	17	new	new	ADJ
ejpam-3196	445	18	inequalities	inequality	NOUN
ejpam-3196	445	19	of	of	ADP
ejpam-3196	445	20	hermite	hermite	PROPN
ejpam-3196	445	21	-	-	PUNCT
ejpam-3196	445	22	hadamardfejér	hadamardfejér	PROPN
ejpam-3196	445	23	type	type	NOUN
ejpam-3196	445	24	for	for	ADP
ejpam-3196	445	25	harmonically	harmonically	ADV
ejpam-3196	445	26	convex	convex	ADJ
ejpam-3196	445	27	functions	function	NOUN
ejpam-3196	445	28	via	via	ADP
ejpam-3196	445	29	fractional	fractional	ADJ
ejpam-3196	445	30	integrals	integral	NOUN
ejpam-3196	445	31	,	,	PUNCT
ejpam-3196	445	32	springerplus	springerplus	NOUN
ejpam-3196	445	33	,	,	PUNCT
ejpam-3196	445	34	(	(	PUNCT
ejpam-3196	445	35	2016	2016	NUM
ejpam-3196	445	36	)	)	PUNCT
ejpam-3196	445	37	5:635	5:635	NUM
ejpam-3196	445	38	,	,	PUNCT
ejpam-3196	445	39	1	1	NUM
ejpam-3196	445	40	-	-	SYM
ejpam-3196	445	41	19	19	NUM
ejpam-3196	445	42	.	.	PUNCT
ejpam-3196	446	1	[	[	X
ejpam-3196	446	2	30	30	NUM
ejpam-3196	446	3	]	]	PUNCT
ejpam-3196	446	4	k.	k.	PROPN
ejpam-3196	446	5	l.	l.	PROPN
ejpam-3196	446	6	tseng	tseng	PROPN
ejpam-3196	446	7	,	,	PUNCT
ejpam-3196	446	8	s.	s.	PROPN
ejpam-3196	446	9	r.	r.	PROPN
ejpam-3196	446	10	hwang	hwang	PROPN
ejpam-3196	446	11	,	,	PUNCT
ejpam-3196	446	12	s.	s.	PROPN
ejpam-3196	446	13	s.	s.	PROPN
ejpam-3196	446	14	dragomir	dragomir	PROPN
ejpam-3196	446	15	,	,	PUNCT
ejpam-3196	446	16	fejér	fejér	NOUN
ejpam-3196	446	17	-	-	PUNCT
ejpam-3196	446	18	type	type	NOUN
ejpam-3196	446	19	inequalities	inequality	NOUN
ejpam-3196	446	20	(	(	PUNCT
ejpam-3196	446	21	ii	ii	NOUN
ejpam-3196	446	22	)	)	PUNCT
ejpam-3196	446	23	,	,	PUNCT
ejpam-3196	446	24	math	math	NOUN
ejpam-3196	446	25	.	.	PUNCT
ejpam-3196	447	1	slovaca	slovaca	PROPN
ejpam-3196	447	2	,	,	PUNCT
ejpam-3196	447	3	67	67	NUM
ejpam-3196	447	4	,	,	PUNCT
ejpam-3196	447	5	1	1	NUM
ejpam-3196	447	6	(	(	PUNCT
ejpam-3196	447	7	2017	2017	NUM
ejpam-3196	447	8	)	)	PUNCT
ejpam-3196	447	9	,	,	PUNCT
ejpam-3196	447	10	109	109	NUM
ejpam-3196	447	11	-	-	SYM
ejpam-3196	447	12	120	120	NUM
ejpam-3196	447	13	.	.	PUNCT
ejpam-3196	448	1	[	[	X
ejpam-3196	448	2	31	31	NUM
ejpam-3196	448	3	]	]	PUNCT
ejpam-3196	448	4	m.	m.	NOUN
ejpam-3196	448	5	a.	a.	PROPN
ejpam-3196	448	6	latif	latif	PROPN
ejpam-3196	448	7	,	,	PUNCT
ejpam-3196	448	8	s.	s.	PROPN
ejpam-3196	448	9	s.	s.	PROPN
ejpam-3196	448	10	dragomir	dragomir	PROPN
ejpam-3196	448	11	,	,	PUNCT
ejpam-3196	448	12	e.	e.	PROPN
ejpam-3196	448	13	momoniat	momoniat	PROPN
ejpam-3196	448	14	,	,	PUNCT
ejpam-3196	448	15	some	some	DET
ejpam-3196	448	16	fejér	fejér	NOUN
ejpam-3196	448	17	type	type	NOUN
ejpam-3196	448	18	inequalities	inequality	NOUN
ejpam-3196	448	19	for	for	ADP
ejpam-3196	448	20	harmonically	harmonically	ADV
ejpam-3196	448	21	-	-	PUNCT
ejpam-3196	448	22	convex	convex	ADJ
ejpam-3196	448	23	functions	function	NOUN
ejpam-3196	448	24	with	with	ADP
ejpam-3196	448	25	applications	application	NOUN
ejpam-3196	448	26	to	to	ADP
ejpam-3196	448	27	special	special	ADJ
ejpam-3196	448	28	means	mean	NOUN
ejpam-3196	448	29	,	,	PUNCT
ejpam-3196	448	30	int	int	PROPN
ejpam-3196	448	31	.	.	PUNCT
ejpam-3196	449	1	j.	j.	PROPN
ejpam-3196	449	2	anal	anal	PROPN
ejpam-3196	449	3	.	.	PUNCT
ejpam-3196	450	1	appl	appl	PROPN
ejpam-3196	450	2	.	.	PROPN
ejpam-3196	450	3	,	,	PUNCT
ejpam-3196	450	4	13	13	NUM
ejpam-3196	450	5	,	,	PUNCT
ejpam-3196	450	6	1	1	NUM
ejpam-3196	450	7	(	(	PUNCT
ejpam-3196	450	8	2017	2017	NUM
ejpam-3196	450	9	)	)	PUNCT
ejpam-3196	450	10	,	,	PUNCT
ejpam-3196	450	11	1	1	NUM
ejpam-3196	450	12	-	-	SYM
ejpam-3196	450	13	14	14	NUM
ejpam-3196	450	14	.	.	PUNCT
ejpam-3196	451	1	[	[	X
ejpam-3196	451	2	32	32	NUM
ejpam-3196	451	3	]	]	PUNCT
ejpam-3196	451	4	w.	w.	PROPN
ejpam-3196	451	5	liu	liu	PROPN
ejpam-3196	451	6	,	,	PUNCT
ejpam-3196	451	7	w.	w.	PROPN
ejpam-3196	451	8	wen	wen	PROPN
ejpam-3196	451	9	,	,	PUNCT
ejpam-3196	451	10	j.	j.	PROPN
ejpam-3196	451	11	park	park	PROPN
ejpam-3196	451	12	,	,	PUNCT
ejpam-3196	451	13	ostrowski	ostrowski	ADJ
ejpam-3196	451	14	type	type	NOUN
ejpam-3196	451	15	fractional	fractional	ADJ
ejpam-3196	451	16	integral	integral	ADJ
ejpam-3196	451	17	inequalities	inequality	NOUN
ejpam-3196	451	18	for	for	ADP
ejpam-3196	451	19	mtconvex	mtconvex	NOUN
ejpam-3196	451	20	functions	function	NOUN
ejpam-3196	451	21	,	,	PUNCT
ejpam-3196	451	22	miskolc	miskolc	ADJ
ejpam-3196	451	23	math	math	NOUN
ejpam-3196	451	24	.	.	PUNCT
ejpam-3196	452	1	notes	note	NOUN
ejpam-3196	452	2	,	,	PUNCT
ejpam-3196	452	3	16	16	NUM
ejpam-3196	452	4	,	,	PUNCT
ejpam-3196	452	5	1	1	NUM
ejpam-3196	452	6	(	(	PUNCT
ejpam-3196	452	7	2015	2015	NUM
ejpam-3196	452	8	)	)	PUNCT
ejpam-3196	452	9	,	,	PUNCT
ejpam-3196	452	10	249	249	NUM
ejpam-3196	452	11	-	-	SYM
ejpam-3196	452	12	256	256	NUM
ejpam-3196	452	13	.	.	PUNCT
ejpam-3196	453	1	[	[	X
ejpam-3196	453	2	33	33	NUM
ejpam-3196	453	3	]	]	PUNCT
ejpam-3196	453	4	w.	w.	PROPN
ejpam-3196	453	5	liu	liu	PROPN
ejpam-3196	453	6	,	,	PUNCT
ejpam-3196	453	7	w.	w.	PROPN
ejpam-3196	453	8	wen	wen	PROPN
ejpam-3196	453	9	,	,	PUNCT
ejpam-3196	453	10	j.	j.	PROPN
ejpam-3196	453	11	park	park	PROPN
ejpam-3196	453	12	,	,	PUNCT
ejpam-3196	453	13	hermite	hermite	PROPN
ejpam-3196	453	14	-	-	PUNCT
ejpam-3196	453	15	hadamard	hadamard	ADJ
ejpam-3196	453	16	type	type	NOUN
ejpam-3196	453	17	inequalities	inequality	NOUN
ejpam-3196	453	18	for	for	ADP
ejpam-3196	453	19	mt	mt	NOUN
ejpam-3196	453	20	-	-	PUNCT
ejpam-3196	453	21	convex	convex	NOUN
ejpam-3196	453	22	functions	function	NOUN
ejpam-3196	453	23	via	via	ADP
ejpam-3196	453	24	classical	classical	ADJ
ejpam-3196	453	25	integrals	integral	NOUN
ejpam-3196	453	26	and	and	CCONJ
ejpam-3196	453	27	fractional	fractional	ADJ
ejpam-3196	453	28	integrals	integral	NOUN
ejpam-3196	453	29	,	,	PUNCT
ejpam-3196	453	30	j.	j.	PROPN
ejpam-3196	453	31	nonlinear	nonlinear	PROPN
ejpam-3196	453	32	sci	sci	PROPN
ejpam-3196	453	33	.	.	PUNCT
ejpam-3196	453	34	appl	appl	PROPN
ejpam-3196	453	35	.	.	PROPN
ejpam-3196	453	36	,	,	PUNCT
ejpam-3196	453	37	9	9	NUM
ejpam-3196	453	38	,	,	PUNCT
ejpam-3196	453	39	(	(	PUNCT
ejpam-3196	453	40	2016	2016	NUM
ejpam-3196	453	41	)	)	PUNCT
ejpam-3196	453	42	,	,	PUNCT
ejpam-3196	453	43	766	766	NUM
ejpam-3196	453	44	-	-	SYM
ejpam-3196	453	45	777	777	NUM
ejpam-3196	453	46	.	.	PUNCT
ejpam-3196	454	1	[	[	X
ejpam-3196	454	2	34	34	NUM
ejpam-3196	454	3	]	]	X
ejpam-3196	454	4	m.	m.	NOUN
ejpam-3196	454	5	mat	mat	PROPN
ejpam-3196	454	6	loka	loka	PROPN
ejpam-3196	454	7	,	,	PUNCT
ejpam-3196	454	8	inequalities	inequality	NOUN
ejpam-3196	454	9	for	for	ADP
ejpam-3196	454	10	h	h	NOUN
ejpam-3196	454	11	-	-	PUNCT
ejpam-3196	454	12	preinvex	preinvex	NOUN
ejpam-3196	454	13	functions	function	NOUN
ejpam-3196	454	14	,	,	PUNCT
ejpam-3196	454	15	appl	appl	PROPN
ejpam-3196	454	16	.	.	PROPN
ejpam-3196	454	17	math	math	PROPN
ejpam-3196	454	18	.	.	PUNCT
ejpam-3196	455	1	comput	comput	NOUN
ejpam-3196	455	2	.	.	PUNCT
ejpam-3196	455	3	,	,	PUNCT
ejpam-3196	455	4	234	234	NUM
ejpam-3196	455	5	,	,	PUNCT
ejpam-3196	455	6	(	(	PUNCT
ejpam-3196	455	7	2014	2014	NUM
ejpam-3196	455	8	)	)	PUNCT
ejpam-3196	455	9	,	,	PUNCT
ejpam-3196	455	10	52	52	NUM
ejpam-3196	455	11	-	-	SYM
ejpam-3196	455	12	57	57	NUM
ejpam-3196	455	13	.	.	PUNCT
ejpam-3196	456	1	[	[	X
ejpam-3196	456	2	35	35	NUM
ejpam-3196	456	3	]	]	X
ejpam-3196	456	4	s.	s.	PROPN
ejpam-3196	456	5	mubeen	mubeen	PROPN
ejpam-3196	456	6	,	,	PUNCT
ejpam-3196	456	7	g.	g.	PROPN
ejpam-3196	456	8	m.	m.	PROPN
ejpam-3196	456	9	habibullah	habibullah	PROPN
ejpam-3196	456	10	,	,	PUNCT
ejpam-3196	456	11	k	k	ADJ
ejpam-3196	456	12	-	-	PUNCT
ejpam-3196	456	13	fractional	fractional	ADJ
ejpam-3196	456	14	integrals	integral	NOUN
ejpam-3196	456	15	and	and	CCONJ
ejpam-3196	456	16	applications	application	NOUN
ejpam-3196	456	17	,	,	PUNCT
ejpam-3196	456	18	int	int	NOUN
ejpam-3196	456	19	.	.	PUNCT
ejpam-3196	457	1	j.	j.	PROPN
ejpam-3196	457	2	contemp	contemp	PROPN
ejpam-3196	457	3	.	.	PUNCT
ejpam-3196	458	1	math	math	NOUN
ejpam-3196	458	2	.	.	PUNCT
ejpam-3196	459	1	sci	sci	PROPN
ejpam-3196	459	2	.	.	PROPN
ejpam-3196	459	3	,	,	PUNCT
ejpam-3196	459	4	7	7	NUM
ejpam-3196	459	5	,	,	PUNCT
ejpam-3196	459	6	(	(	PUNCT
ejpam-3196	459	7	2012	2012	NUM
ejpam-3196	459	8	)	)	PUNCT
ejpam-3196	459	9	,	,	PUNCT
ejpam-3196	459	10	89	89	NUM
ejpam-3196	459	11	-	-	SYM
ejpam-3196	459	12	94	94	NUM
ejpam-3196	459	13	.	.	PUNCT
ejpam-3196	460	1	[	[	X
ejpam-3196	460	2	36	36	NUM
ejpam-3196	460	3	]	]	X
ejpam-3196	460	4	o.	o.	PROPN
ejpam-3196	460	5	omotoyinbo	omotoyinbo	PROPN
ejpam-3196	460	6	,	,	PUNCT
ejpam-3196	460	7	a.	a.	PROPN
ejpam-3196	460	8	mogbodemu	mogbodemu	PROPN
ejpam-3196	460	9	,	,	PUNCT
ejpam-3196	460	10	some	some	DET
ejpam-3196	460	11	new	new	ADJ
ejpam-3196	460	12	hermite	hermite	ADJ
ejpam-3196	460	13	-	-	PUNCT
ejpam-3196	460	14	hadamard	hadamard	ADJ
ejpam-3196	460	15	integral	integral	ADJ
ejpam-3196	460	16	inequalities	inequality	NOUN
ejpam-3196	460	17	for	for	ADP
ejpam-3196	460	18	convex	convex	NOUN
ejpam-3196	460	19	functions	function	NOUN
ejpam-3196	460	20	,	,	PUNCT
ejpam-3196	460	21	int	int	NOUN
ejpam-3196	460	22	.	.	PUNCT
ejpam-3196	461	1	j.	j.	PROPN
ejpam-3196	461	2	sci	sci	PROPN
ejpam-3196	461	3	.	.	PUNCT
ejpam-3196	461	4	innovation	innovation	NOUN
ejpam-3196	461	5	tech	tech	PROPN
ejpam-3196	461	6	.	.	PUNCT
ejpam-3196	461	7	,	,	PUNCT
ejpam-3196	461	8	1	1	NUM
ejpam-3196	461	9	,	,	PUNCT
ejpam-3196	461	10	1	1	NUM
ejpam-3196	461	11	(	(	PUNCT
ejpam-3196	461	12	2014	2014	NUM
ejpam-3196	461	13	)	)	PUNCT
ejpam-3196	461	14	,	,	PUNCT
ejpam-3196	461	15	1	1	NUM
ejpam-3196	461	16	-	-	SYM
ejpam-3196	461	17	12	12	NUM
ejpam-3196	461	18	.	.	PUNCT
ejpam-3196	462	1	[	[	X
ejpam-3196	462	2	37	37	NUM
ejpam-3196	462	3	]	]	X
ejpam-3196	462	4	c.	c.	PROPN
ejpam-3196	462	5	peng	peng	PROPN
ejpam-3196	462	6	,	,	PUNCT
ejpam-3196	462	7	c.	c.	PROPN
ejpam-3196	462	8	zhou	zhou	PROPN
ejpam-3196	462	9	,	,	PUNCT
ejpam-3196	462	10	t.	t.	PROPN
ejpam-3196	462	11	s.	s.	PROPN
ejpam-3196	462	12	du	du	PROPN
ejpam-3196	462	13	,	,	PUNCT
ejpam-3196	462	14	riemann	riemann	PROPN
ejpam-3196	462	15	-	-	PUNCT
ejpam-3196	462	16	liouville	liouville	VERB
ejpam-3196	462	17	fractional	fractional	PROPN
ejpam-3196	462	18	simpson	simpson	PROPN
ejpam-3196	462	19	’s	’s	PART
ejpam-3196	462	20	inequalities	inequality	NOUN
ejpam-3196	462	21	through	through	ADP
ejpam-3196	462	22	generalized	generalize	VERB
ejpam-3196	462	23	(	(	PUNCT
ejpam-3196	462	24	m	m	PROPN
ejpam-3196	462	25	,	,	PUNCT
ejpam-3196	462	26	h1	h1	NOUN
ejpam-3196	462	27	,	,	PUNCT
ejpam-3196	462	28	h2)-preinvexity	h2)-preinvexity	PROPN
ejpam-3196	462	29	,	,	PUNCT
ejpam-3196	462	30	ital	ital	PROPN
ejpam-3196	462	31	.	.	PUNCT
ejpam-3196	463	1	j.	j.	PROPN
ejpam-3196	463	2	pure	pure	PROPN
ejpam-3196	463	3	appl	appl	PROPN
ejpam-3196	463	4	.	.	PUNCT
ejpam-3196	463	5	math	math	PROPN
ejpam-3196	463	6	.	.	PUNCT
ejpam-3196	463	7	,	,	PUNCT
ejpam-3196	463	8	38	38	NUM
ejpam-3196	463	9	,	,	PUNCT
ejpam-3196	463	10	(	(	PUNCT
ejpam-3196	463	11	2017	2017	NUM
ejpam-3196	463	12	)	)	PUNCT
ejpam-3196	463	13	,	,	PUNCT
ejpam-3196	463	14	345	345	NUM
ejpam-3196	463	15	-	-	SYM
ejpam-3196	463	16	367	367	NUM
ejpam-3196	463	17	.	.	PUNCT
ejpam-3196	464	1	[	[	X
ejpam-3196	464	2	38	38	NUM
ejpam-3196	464	3	]	]	PUNCT
ejpam-3196	464	4	r.	r.	PROPN
ejpam-3196	464	5	pini	pini	PROPN
ejpam-3196	464	6	,	,	PUNCT
ejpam-3196	464	7	invexity	invexity	NOUN
ejpam-3196	464	8	and	and	CCONJ
ejpam-3196	464	9	generalized	generalized	ADJ
ejpam-3196	464	10	convexity	convexity	NOUN
ejpam-3196	464	11	,	,	PUNCT
ejpam-3196	464	12	optimization	optimization	NOUN
ejpam-3196	464	13	,	,	PUNCT
ejpam-3196	464	14	22	22	NUM
ejpam-3196	464	15	,	,	PUNCT
ejpam-3196	464	16	(	(	PUNCT
ejpam-3196	464	17	1991	1991	NUM
ejpam-3196	464	18	)	)	PUNCT
ejpam-3196	464	19	,	,	PUNCT
ejpam-3196	464	20	513	513	NUM
ejpam-3196	464	21	-	-	SYM
ejpam-3196	464	22	525	525	NUM
ejpam-3196	464	23	.	.	PUNCT
ejpam-3196	465	1	[	[	X
ejpam-3196	465	2	39	39	NUM
ejpam-3196	465	3	]	]	PUNCT
ejpam-3196	465	4	e.	e.	PROPN
ejpam-3196	465	5	set	set	PROPN
ejpam-3196	465	6	,	,	PUNCT
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ejpam-3196	465	8	gözpinar	gözpinar	PROPN
ejpam-3196	465	9	,	,	PUNCT
ejpam-3196	465	10	a	a	DET
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ejpam-3196	465	12	on	on	ADP
ejpam-3196	465	13	hermite	hermite	ADJ
ejpam-3196	465	14	-	-	PUNCT
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ejpam-3196	465	16	type	type	NOUN
ejpam-3196	465	17	inequalities	inequality	NOUN
ejpam-3196	465	18	for	for	ADP
ejpam-3196	465	19	s	s	NOUN
ejpam-3196	465	20	-	-	PUNCT
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ejpam-3196	465	22	functions	function	NOUN
ejpam-3196	465	23	via	via	ADP
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ejpam-3196	465	27	,	,	PUNCT
ejpam-3196	465	28	submitted	submit	VERB
ejpam-3196	465	29	.	.	PUNCT
ejpam-3196	466	1	[	[	X
ejpam-3196	466	2	40	40	NUM
ejpam-3196	466	3	]	]	PUNCT
ejpam-3196	466	4	e.	e.	PROPN
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ejpam-3196	466	6	,	,	PUNCT
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ejpam-3196	466	9	,	,	PUNCT
ejpam-3196	466	10	j.	j.	PROPN
ejpam-3196	466	11	choi	choi	PROPN
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ejpam-3196	466	14	-	-	PUNCT
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ejpam-3196	466	16	type	type	NOUN
ejpam-3196	466	17	inequalities	inequality	NOUN
ejpam-3196	466	18	for	for	ADP
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ejpam-3196	466	25	via	via	ADP
ejpam-3196	466	26	conformable	conformable	ADJ
ejpam-3196	466	27	fractional	fractional	ADJ
ejpam-3196	466	28	integrals	integral	NOUN
ejpam-3196	466	29	,	,	PUNCT
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ejpam-3196	466	31	east	east	PROPN
ejpam-3196	466	32	j.	j.	PROPN
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ejpam-3196	466	34	.	.	PUNCT
ejpam-3196	467	1	sci	sci	PROPN
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ejpam-3196	467	3	,	,	PUNCT
ejpam-3196	467	4	101	101	NUM
ejpam-3196	467	5	,	,	PUNCT
ejpam-3196	467	6	4	4	NUM
ejpam-3196	467	7	(	(	PUNCT
ejpam-3196	467	8	2017	2017	NUM
ejpam-3196	467	9	)	)	PUNCT
ejpam-3196	467	10	,	,	PUNCT
ejpam-3196	467	11	873	873	NUM
ejpam-3196	467	12	-	-	NUM
ejpam-3196	467	13	891	891	NUM
ejpam-3196	467	14	.	.	PUNCT
ejpam-3196	468	1	[	[	X
ejpam-3196	468	2	41	41	NUM
ejpam-3196	468	3	]	]	X
ejpam-3196	468	4	e.	e.	PROPN
ejpam-3196	468	5	set	set	PROPN
ejpam-3196	468	6	,	,	PUNCT
ejpam-3196	468	7	s.	s.	PROPN
ejpam-3196	468	8	s.	s.	PROPN
ejpam-3196	468	9	karataş	karataş	PROPN
ejpam-3196	468	10	,	,	PUNCT
ejpam-3196	468	11	m.	m.	PROPN
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ejpam-3196	468	13	khan	khan	PROPN
ejpam-3196	468	14	,	,	PUNCT
ejpam-3196	468	15	hermite	hermite	PROPN
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ejpam-3196	468	18	type	type	NOUN
ejpam-3196	468	19	inequalities	inequality	NOUN
ejpam-3196	468	20	obtained	obtain	VERB
ejpam-3196	468	21	via	via	ADP
ejpam-3196	468	22	fractional	fractional	ADJ
ejpam-3196	468	23	integral	integral	ADJ
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ejpam-3196	468	25	differentiable	differentiable	ADJ
ejpam-3196	468	26	m	m	NOUN
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ejpam-3196	468	29	and	and	CCONJ
ejpam-3196	468	30	(	(	PUNCT
ejpam-3196	468	31	α	α	NOUN
ejpam-3196	468	32	,	,	PUNCT
ejpam-3196	468	33	m)-convex	m)-convex	NOUN
ejpam-3196	468	34	functions	function	NOUN
ejpam-3196	468	35	,	,	PUNCT
ejpam-3196	468	36	international	international	ADJ
ejpam-3196	468	37	journal	journal	NOUN
ejpam-3196	468	38	of	of	ADP
ejpam-3196	468	39	analysis	analysis	NOUN
ejpam-3196	468	40	,	,	PUNCT
ejpam-3196	468	41	2016	2016	NUM
ejpam-3196	468	42	,	,	PUNCT
ejpam-3196	468	43	article	article	NOUN
ejpam-3196	468	44	i	i	PROPN
ejpam-3196	468	45	d	d	PROPN
ejpam-3196	468	46	4765691	4765691	NUM
ejpam-3196	468	47	,	,	PUNCT
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ejpam-3196	468	50	.	.	PUNCT
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ejpam-3196	469	2	68	68	NUM
ejpam-3196	469	3	[	[	X
ejpam-3196	469	4	42	42	NUM
ejpam-3196	469	5	]	]	X
ejpam-3196	469	6	e.	e.	PROPN
ejpam-3196	469	7	set	set	PROPN
ejpam-3196	469	8	,	,	PUNCT
ejpam-3196	469	9	i.	i.	PROPN
ejpam-3196	469	10	mumcu	mumcu	PROPN
ejpam-3196	469	11	,	,	PUNCT
ejpam-3196	469	12	hermite	hermite	PROPN
ejpam-3196	469	13	-	-	PUNCT
ejpam-3196	469	14	hadamard	hadamard	ADJ
ejpam-3196	469	15	-	-	PUNCT
ejpam-3196	469	16	fejér	fejér	NOUN
ejpam-3196	469	17	type	type	NOUN
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ejpam-3196	469	19	for	for	ADP
ejpam-3196	469	20	conformable	conformable	ADJ
ejpam-3196	469	21	fractional	fractional	ADJ
ejpam-3196	469	22	integrals	integral	NOUN
ejpam-3196	469	23	,	,	PUNCT
ejpam-3196	469	24	submitted	submit	VERB
ejpam-3196	469	25	.	.	PUNCT
ejpam-3196	470	1	[	[	X
ejpam-3196	470	2	43	43	NUM
ejpam-3196	470	3	]	]	X
ejpam-3196	470	4	e.	e.	PROPN
ejpam-3196	470	5	set	set	PROPN
ejpam-3196	470	6	,	,	PUNCT
ejpam-3196	470	7	m.	m.	NOUN
ejpam-3196	470	8	z.	z.	PROPN
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ejpam-3196	470	10	,	,	PUNCT
ejpam-3196	470	11	a.	a.	PROPN
ejpam-3196	470	12	gözpinar	gözpinar	PROPN
ejpam-3196	470	13	,	,	PUNCT
ejpam-3196	470	14	some	some	DET
ejpam-3196	470	15	hermite	hermite	ADJ
ejpam-3196	470	16	-	-	PUNCT
ejpam-3196	470	17	hadamard	hadamard	ADJ
ejpam-3196	470	18	type	type	NOUN
ejpam-3196	470	19	inequalities	inequality	NOUN
ejpam-3196	470	20	for	for	ADP
ejpam-3196	470	21	convex	convex	NOUN
ejpam-3196	470	22	functions	function	NOUN
ejpam-3196	470	23	via	via	ADP
ejpam-3196	470	24	conformable	conformable	ADJ
ejpam-3196	470	25	fractional	fractional	ADJ
ejpam-3196	470	26	integrals	integral	NOUN
ejpam-3196	470	27	and	and	CCONJ
ejpam-3196	470	28	related	related	ADJ
ejpam-3196	470	29	inequalities	inequality	NOUN
ejpam-3196	470	30	,	,	PUNCT
ejpam-3196	470	31	creat	creat	PROPN
ejpam-3196	470	32	.	.	PUNCT
ejpam-3196	470	33	math	math	PROPN
ejpam-3196	470	34	.	.	PUNCT
ejpam-3196	471	1	inform	inform	NOUN
ejpam-3196	471	2	.	.	PUNCT
ejpam-3196	472	1	,	,	PUNCT
ejpam-3196	472	2	accepted	accept	VERB
ejpam-3196	472	3	paper	paper	NOUN
ejpam-3196	472	4	.	.	PUNCT
ejpam-3196	473	1	[	[	X
ejpam-3196	473	2	44	44	NUM
ejpam-3196	473	3	]	]	PUNCT
ejpam-3196	473	4	h.	h.	PROPN
ejpam-3196	473	5	n.	n.	PROPN
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ejpam-3196	473	10	-	-	PUNCT
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ejpam-3196	473	12	functions	function	NOUN
ejpam-3196	473	13	related	relate	VERB
ejpam-3196	473	14	to	to	ADP
ejpam-3196	473	15	hadamard	hadamard	ADJ
ejpam-3196	473	16	-	-	PUNCT
ejpam-3196	473	17	type	type	NOUN
ejpam-3196	473	18	integral	integral	ADJ
ejpam-3196	473	19	inequalities	inequality	NOUN
ejpam-3196	473	20	,	,	PUNCT
ejpam-3196	473	21	publ	publ	PROPN
ejpam-3196	473	22	.	.	PUNCT
ejpam-3196	474	1	math	math	NOUN
ejpam-3196	474	2	.	.	PUNCT
ejpam-3196	475	1	debrecen	debrecen	PROPN
ejpam-3196	475	2	,	,	PUNCT
ejpam-3196	475	3	78	78	NUM
ejpam-3196	475	4	,	,	PUNCT
ejpam-3196	475	5	2	2	NUM
ejpam-3196	475	6	(	(	PUNCT
ejpam-3196	475	7	2011	2011	NUM
ejpam-3196	475	8	)	)	PUNCT
ejpam-3196	475	9	,	,	PUNCT
ejpam-3196	475	10	393	393	NUM
ejpam-3196	475	11	-	-	SYM
ejpam-3196	475	12	403	403	NUM
ejpam-3196	475	13	.	.	PUNCT
ejpam-3196	476	1	[	[	X
ejpam-3196	476	2	45	45	NUM
ejpam-3196	476	3	]	]	PUNCT
ejpam-3196	476	4	m.	m.	NOUN
ejpam-3196	476	5	tunç	tunç	PROPN
ejpam-3196	476	6	,	,	PUNCT
ejpam-3196	476	7	e.	e.	PROPN
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ejpam-3196	476	9	,	,	PUNCT
ejpam-3196	476	10	ü.	ü.	PROPN
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ejpam-3196	476	12	,	,	PUNCT
ejpam-3196	476	13	on	on	ADP
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ejpam-3196	476	15	-	-	PUNCT
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ejpam-3196	476	17	function	function	NOUN
ejpam-3196	476	18	and	and	CCONJ
ejpam-3196	476	19	their	their	PRON
ejpam-3196	476	20	inequalities	inequality	NOUN
ejpam-3196	476	21	,	,	PUNCT
ejpam-3196	476	22	facta	facta	PROPN
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ejpam-3196	476	24	.	.	PUNCT
ejpam-3196	477	1	ser	ser	PROPN
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ejpam-3196	477	4	.	.	PUNCT
ejpam-3196	478	1	inform	inform	NOUN
ejpam-3196	478	2	.	.	PUNCT
ejpam-3196	478	3	,	,	PUNCT
ejpam-3196	478	4	30	30	NUM
ejpam-3196	478	5	,	,	PUNCT
ejpam-3196	478	6	5	5	NUM
ejpam-3196	478	7	(	(	PUNCT
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ejpam-3196	478	9	)	)	PUNCT
ejpam-3196	478	10	,	,	PUNCT
ejpam-3196	478	11	679	679	NUM
ejpam-3196	478	12	-	-	SYM
ejpam-3196	478	13	691	691	NUM
ejpam-3196	478	14	.	.	PUNCT
ejpam-3196	479	1	[	[	X
ejpam-3196	479	2	46	46	NUM
ejpam-3196	479	3	]	]	PUNCT
ejpam-3196	479	4	s.	s.	PROPN
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ejpam-3196	479	6	,	,	PUNCT
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ejpam-3196	479	8	h	h	NOUN
ejpam-3196	479	9	-	-	PUNCT
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ejpam-3196	479	11	,	,	PUNCT
ejpam-3196	479	12	j.	j.	PROPN
ejpam-3196	479	13	math	math	PROPN
ejpam-3196	479	14	.	.	PUNCT
ejpam-3196	480	1	anal	anal	PROPN
ejpam-3196	480	2	.	.	PUNCT
ejpam-3196	481	1	appl	appl	PROPN
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ejpam-3196	481	3	,	,	PUNCT
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ejpam-3196	481	5	,	,	PUNCT
ejpam-3196	481	6	1	1	NUM
ejpam-3196	481	7	(	(	PUNCT
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ejpam-3196	481	9	)	)	PUNCT
ejpam-3196	481	10	,	,	PUNCT
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ejpam-3196	481	12	-	-	SYM
ejpam-3196	481	13	311	311	NUM
ejpam-3196	481	14	.	.	PUNCT
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ejpam-3196	482	7	,	,	PUNCT
ejpam-3196	482	8	e	e	NOUN
ejpam-3196	482	9	-	-	ADJ
ejpam-3196	482	10	convex	convex	ADJ
ejpam-3196	482	11	sets	set	NOUN
ejpam-3196	482	12	,	,	PUNCT
ejpam-3196	482	13	e	e	NOUN
ejpam-3196	482	14	-	-	ADJ
ejpam-3196	482	15	convex	convex	ADJ
ejpam-3196	482	16	functions	function	NOUN
ejpam-3196	482	17	,	,	PUNCT
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ejpam-3196	482	19	e	e	X
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ejpam-3196	482	23	,	,	PUNCT
ejpam-3196	482	24	j.	j.	PROPN
ejpam-3196	482	25	optim	optim	PROPN
ejpam-3196	482	26	.	.	PUNCT
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ejpam-3196	483	2	appl	appl	PROPN
ejpam-3196	483	3	.	.	PROPN
ejpam-3196	484	1	,	,	PUNCT
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ejpam-3196	484	3	,	,	PUNCT
ejpam-3196	484	4	(	(	PUNCT
ejpam-3196	484	5	1999	1999	NUM
ejpam-3196	484	6	)	)	PUNCT
ejpam-3196	484	7	,	,	PUNCT
ejpam-3196	484	8	439	439	NUM
ejpam-3196	484	9	-	-	SYM
ejpam-3196	484	10	450	450	NUM
ejpam-3196	484	11	.	.	PUNCT
ejpam-3196	485	1	[	[	X
ejpam-3196	485	2	48	48	NUM
ejpam-3196	485	3	]	]	PUNCT
ejpam-3196	485	4	x.	x.	NOUN
ejpam-3196	485	5	m.	m.	PROPN
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ejpam-3196	485	7	,	,	PUNCT
ejpam-3196	485	8	y.	y.	PROPN
ejpam-3196	485	9	m.	m.	PROPN
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ejpam-3196	485	11	,	,	PUNCT
ejpam-3196	485	12	x.	x.	PROPN
ejpam-3196	485	13	h.	h.	PROPN
ejpam-3196	485	14	zhang	zhang	PROPN
ejpam-3196	485	15	,	,	PUNCT
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ejpam-3196	485	24	-	-	PUNCT
ejpam-3196	485	25	convex	convex	NOUN
ejpam-3196	485	26	functions	function	NOUN
ejpam-3196	485	27	and	and	CCONJ
ejpam-3196	485	28	its	its	PRON
ejpam-3196	485	29	applications	application	NOUN
ejpam-3196	485	30	,	,	PUNCT
ejpam-3196	485	31	j.	j.	PROPN
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ejpam-3196	485	33	.	.	PUNCT
ejpam-3196	486	1	appl	appl	PROPN
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ejpam-3196	486	3	,	,	PUNCT
ejpam-3196	486	4	(	(	PUNCT
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ejpam-3196	486	6	)	)	PUNCT
ejpam-3196	486	7	,	,	PUNCT
ejpam-3196	486	8	article	article	NOUN
ejpam-3196	486	9	i	i	PROPN
ejpam-3196	486	10	d	d	PROPN
ejpam-3196	486	11	507560	507560	NUM
ejpam-3196	486	12	,	,	PUNCT
ejpam-3196	486	13	11	11	NUM
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ejpam-3196	486	15	.	.	PUNCT
ejpam-3196	487	1	[	[	X
ejpam-3196	487	2	49	49	X
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ejpam-3196	487	4	y.	y.	PROPN
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ejpam-3196	487	7	,	,	PUNCT
ejpam-3196	487	8	t.	t.	PROPN
ejpam-3196	487	9	s.	s.	PROPN
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ejpam-3196	487	11	,	,	PUNCT
ejpam-3196	487	12	j.	j.	PROPN
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ejpam-3196	487	14	,	,	PUNCT
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ejpam-3196	487	16	new	new	ADJ
ejpam-3196	487	17	inequalities	inequality	NOUN
ejpam-3196	487	18	of	of	ADP
ejpam-3196	487	19	fejér	fejér	NOUN
ejpam-3196	487	20	-	-	PUNCT
ejpam-3196	487	21	hermite	hermite	ADJ
ejpam-3196	487	22	-	-	PUNCT
ejpam-3196	487	23	hadamard	hadamard	ADJ
ejpam-3196	487	24	type	type	NOUN
ejpam-3196	487	25	for	for	ADP
ejpam-3196	487	26	differentiable	differentiable	ADJ
ejpam-3196	487	27	(	(	PUNCT
ejpam-3196	487	28	α	α	NOUN
ejpam-3196	487	29	,	,	PUNCT
ejpam-3196	487	30	m)-preinvex	m)-preinvex	NOUN
ejpam-3196	487	31	mappings	mapping	NOUN
ejpam-3196	487	32	,	,	PUNCT
ejpam-3196	487	33	scienceasia	scienceasia	PROPN
ejpam-3196	487	34	,	,	PUNCT
ejpam-3196	487	35	43	43	NUM
ejpam-3196	487	36	,	,	PUNCT
ejpam-3196	487	37	(	(	PUNCT
ejpam-3196	487	38	2017	2017	NUM
ejpam-3196	487	39	)	)	PUNCT
ejpam-3196	487	40	,	,	PUNCT
ejpam-3196	487	41	258	258	NUM
ejpam-3196	487	42	-	-	SYM
ejpam-3196	487	43	266	266	NUM
ejpam-3196	487	44	.	.	PUNCT