id	sid	tid	token	lemma	pos
ejpam-3048	1	1	european	european	PROPN
ejpam-3048	1	2	journal	journal	PROPN
ejpam-3048	1	3	of	of	ADP
ejpam-3048	1	4	pure	pure	ADJ
ejpam-3048	1	5	and	and	CCONJ
ejpam-3048	1	6	applied	apply	VERB
ejpam-3048	1	7	mathematics	mathematic	NOUN
ejpam-3048	1	8	vol	vol	NOUN
ejpam-3048	1	9	.	.	PROPN
ejpam-3048	2	1	10	10	NUM
ejpam-3048	2	2	,	,	PUNCT
ejpam-3048	2	3	no	no	INTJ
ejpam-3048	2	4	.	.	NOUN
ejpam-3048	2	5	4	4	NUM
ejpam-3048	2	6	,	,	PUNCT
ejpam-3048	2	7	2017	2017	NUM
ejpam-3048	2	8	,	,	PUNCT
ejpam-3048	2	9	809	809	NUM
ejpam-3048	2	10	-	-	SYM
ejpam-3048	2	11	834	834	NUM
ejpam-3048	2	12	issn	issn	PROPN
ejpam-3048	2	13	1307	1307	NUM
ejpam-3048	2	14	-	-	SYM
ejpam-3048	2	15	5543	5543	NUM
ejpam-3048	2	16	–	–	PUNCT
ejpam-3048	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3048	2	18	published	publish	VERB
ejpam-3048	2	19	by	by	ADP
ejpam-3048	2	20	new	new	PROPN
ejpam-3048	2	21	york	york	PROPN
ejpam-3048	2	22	business	business	PROPN
ejpam-3048	2	23	global	global	VERB
ejpam-3048	2	24	some	some	DET
ejpam-3048	2	25	new	new	ADJ
ejpam-3048	2	26	hermite	hermite	ADJ
ejpam-3048	2	27	-	-	PUNCT
ejpam-3048	2	28	hadamard	hadamard	ADJ
ejpam-3048	2	29	type	type	NOUN
ejpam-3048	2	30	conformable	conformable	ADJ
ejpam-3048	2	31	fractional	fractional	ADJ
ejpam-3048	2	32	integral	integral	ADJ
ejpam-3048	2	33	inequalities	inequality	NOUN
ejpam-3048	2	34	for	for	ADP
ejpam-3048	2	35	twice	twice	ADJ
ejpam-3048	2	36	differentiable	differentiable	ADJ
ejpam-3048	2	37	mt(r;g	mt(r;g	NOUN
ejpam-3048	2	38	,	,	PUNCT
ejpam-3048	2	39	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	2	40	functions	function	VERB
ejpam-3048	2	41	akli	akli	NOUN
ejpam-3048	2	42	fundo1	fundo1	NOUN
ejpam-3048	2	43	,	,	PUNCT
ejpam-3048	2	44	artion	artion	NOUN
ejpam-3048	2	45	kashuri2,∗	kashuri2,∗	PROPN
ejpam-3048	2	46	,	,	PUNCT
ejpam-3048	2	47	miftar	miftar	PROPN
ejpam-3048	2	48	ramosaço2	ramosaço2	PROPN
ejpam-3048	2	49	,	,	PUNCT
ejpam-3048	2	50	rozana	rozana	PROPN
ejpam-3048	2	51	liko2	liko2	NOUN
ejpam-3048	2	52	1	1	NUM
ejpam-3048	2	53	department	department	NOUN
ejpam-3048	2	54	of	of	ADP
ejpam-3048	2	55	mathematics	mathematic	NOUN
ejpam-3048	2	56	,	,	PUNCT
ejpam-3048	2	57	polytechnic	polytechnic	ADJ
ejpam-3048	2	58	university	university	NOUN
ejpam-3048	2	59	of	of	ADP
ejpam-3048	2	60	tirana	tirana	PROPN
ejpam-3048	2	61	,	,	PUNCT
ejpam-3048	2	62	albania	albania	PROPN
ejpam-3048	2	63	2	2	NUM
ejpam-3048	2	64	department	department	NOUN
ejpam-3048	2	65	of	of	ADP
ejpam-3048	2	66	mathematics	mathematic	NOUN
ejpam-3048	2	67	,	,	PUNCT
ejpam-3048	2	68	faculty	faculty	NOUN
ejpam-3048	2	69	of	of	ADP
ejpam-3048	2	70	technical	technical	ADJ
ejpam-3048	2	71	science	science	NOUN
ejpam-3048	2	72	,	,	PUNCT
ejpam-3048	2	73	university	university	NOUN
ejpam-3048	2	74	”	"	PUNCT
ejpam-3048	2	75	ismail	ismail	PROPN
ejpam-3048	2	76	qemali	qemali	PROPN
ejpam-3048	2	77	”	"	PUNCT
ejpam-3048	2	78	,	,	PUNCT
ejpam-3048	2	79	albania	albania	PROPN
ejpam-3048	2	80	abstract	abstract	PROPN
ejpam-3048	2	81	.	.	PUNCT
ejpam-3048	3	1	in	in	ADP
ejpam-3048	3	2	the	the	DET
ejpam-3048	3	3	present	present	ADJ
ejpam-3048	3	4	paper	paper	NOUN
ejpam-3048	3	5	,	,	PUNCT
ejpam-3048	3	6	the	the	DET
ejpam-3048	3	7	notion	notion	NOUN
ejpam-3048	3	8	of	of	ADP
ejpam-3048	3	9	mt(r;g	mt(r;g	PROPN
ejpam-3048	3	10	,	,	PUNCT
ejpam-3048	3	11	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	3	12	function	function	NOUN
ejpam-3048	3	13	is	be	AUX
ejpam-3048	3	14	introduced	introduce	VERB
ejpam-3048	3	15	and	and	CCONJ
ejpam-3048	3	16	some	some	DET
ejpam-3048	3	17	new	new	ADJ
ejpam-3048	3	18	integral	integral	ADJ
ejpam-3048	3	19	inequalities	inequality	NOUN
ejpam-3048	3	20	for	for	ADP
ejpam-3048	3	21	the	the	DET
ejpam-3048	3	22	left	left	ADJ
ejpam-3048	3	23	-	-	PUNCT
ejpam-3048	3	24	hand	hand	NOUN
ejpam-3048	3	25	side	side	NOUN
ejpam-3048	3	26	of	of	ADP
ejpam-3048	3	27	gauss	gauss	ADJ
ejpam-3048	3	28	-	-	PUNCT
ejpam-3048	3	29	jacobi	jacobi	PROPN
ejpam-3048	3	30	type	type	NOUN
ejpam-3048	3	31	quadrature	quadrature	NOUN
ejpam-3048	3	32	formula	formula	NOUN
ejpam-3048	3	33	involving	involve	VERB
ejpam-3048	3	34	mt(r;g	mt(r;g	PROPN
ejpam-3048	3	35	,	,	PUNCT
ejpam-3048	3	36	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	3	37	functions	function	NOUN
ejpam-3048	3	38	are	be	AUX
ejpam-3048	3	39	given	give	VERB
ejpam-3048	3	40	.	.	PUNCT
ejpam-3048	4	1	moreover	moreover	ADV
ejpam-3048	4	2	,	,	PUNCT
ejpam-3048	4	3	some	some	DET
ejpam-3048	4	4	generalizations	generalization	NOUN
ejpam-3048	4	5	of	of	ADP
ejpam-3048	4	6	hermitehadamard	hermitehadamard	NOUN
ejpam-3048	4	7	type	type	NOUN
ejpam-3048	4	8	inequalities	inequality	NOUN
ejpam-3048	4	9	for	for	ADP
ejpam-3048	4	10	mt(r;g	mt(r;g	PROPN
ejpam-3048	4	11	,	,	PUNCT
ejpam-3048	4	12	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	4	13	functions	function	NOUN
ejpam-3048	4	14	that	that	PRON
ejpam-3048	4	15	are	be	AUX
ejpam-3048	4	16	twice	twice	ADV
ejpam-3048	4	17	differentiable	differentiable	ADJ
ejpam-3048	4	18	via	via	ADP
ejpam-3048	4	19	conformable	conformable	ADJ
ejpam-3048	4	20	fractional	fractional	ADJ
ejpam-3048	4	21	integrals	integral	NOUN
ejpam-3048	4	22	are	be	AUX
ejpam-3048	4	23	established	establish	VERB
ejpam-3048	4	24	.	.	PUNCT
ejpam-3048	5	1	at	at	ADP
ejpam-3048	5	2	the	the	DET
ejpam-3048	5	3	end	end	NOUN
ejpam-3048	5	4	,	,	PUNCT
ejpam-3048	5	5	some	some	DET
ejpam-3048	5	6	applications	application	NOUN
ejpam-3048	5	7	to	to	ADP
ejpam-3048	5	8	special	special	ADJ
ejpam-3048	5	9	means	mean	NOUN
ejpam-3048	5	10	are	be	AUX
ejpam-3048	5	11	given	give	VERB
ejpam-3048	5	12	.	.	PUNCT
ejpam-3048	6	1	2010	2010	NUM
ejpam-3048	6	2	mathematics	mathematic	NOUN
ejpam-3048	6	3	subject	subject	NOUN
ejpam-3048	6	4	classifications	classification	NOUN
ejpam-3048	6	5	:	:	PUNCT
ejpam-3048	6	6	26a51	26a51	NUM
ejpam-3048	6	7	,	,	PUNCT
ejpam-3048	6	8	26a33	26a33	NUM
ejpam-3048	6	9	,	,	PUNCT
ejpam-3048	6	10	26d07	26d07	NUM
ejpam-3048	6	11	,	,	PUNCT
ejpam-3048	6	12	26d10	26d10	NUM
ejpam-3048	6	13	,	,	PUNCT
ejpam-3048	6	14	26d15	26d15	NUM
ejpam-3048	6	15	key	key	ADJ
ejpam-3048	6	16	words	word	NOUN
ejpam-3048	6	17	and	and	CCONJ
ejpam-3048	6	18	phrases	phrase	NOUN
ejpam-3048	6	19	:	:	PUNCT
ejpam-3048	6	20	hermite	hermite	ADJ
ejpam-3048	6	21	-	-	PUNCT
ejpam-3048	6	22	hadamard	hadamard	ADJ
ejpam-3048	6	23	type	type	NOUN
ejpam-3048	6	24	inequality	inequality	NOUN
ejpam-3048	6	25	,	,	PUNCT
ejpam-3048	6	26	mt	mt	NOUN
ejpam-3048	6	27	-	-	PUNCT
ejpam-3048	6	28	convex	convex	PROPN
ejpam-3048	6	29	function	function	NOUN
ejpam-3048	6	30	,	,	PUNCT
ejpam-3048	6	31	hölder	hölder	PROPN
ejpam-3048	6	32	’s	’s	PART
ejpam-3048	6	33	inequality	inequality	NOUN
ejpam-3048	6	34	,	,	PUNCT
ejpam-3048	6	35	minkowski	minkowski	ADJ
ejpam-3048	6	36	inequality	inequality	NOUN
ejpam-3048	6	37	,	,	PUNCT
ejpam-3048	6	38	power	power	NOUN
ejpam-3048	6	39	mean	mean	NOUN
ejpam-3048	6	40	inequality	inequality	NOUN
ejpam-3048	6	41	,	,	PUNCT
ejpam-3048	6	42	riemann	riemann	PROPN
ejpam-3048	6	43	-	-	PUNCT
ejpam-3048	6	44	liouville	liouville	VERB
ejpam-3048	6	45	fractional	fractional	ADJ
ejpam-3048	6	46	integral	integral	ADJ
ejpam-3048	6	47	,	,	PUNCT
ejpam-3048	6	48	m	m	NOUN
ejpam-3048	6	49	-	-	PUNCT
ejpam-3048	6	50	invex	invex	ADJ
ejpam-3048	6	51	,	,	PUNCT
ejpam-3048	6	52	p	p	NOUN
ejpam-3048	6	53	-function	-function	NOUN
ejpam-3048	6	54	.	.	PUNCT
ejpam-3048	7	1	1	1	X
ejpam-3048	7	2	.	.	X
ejpam-3048	7	3	introduction	introduction	NOUN
ejpam-3048	7	4	and	and	CCONJ
ejpam-3048	7	5	preliminaries	preliminary	NOUN
ejpam-3048	7	6	the	the	DET
ejpam-3048	7	7	following	follow	VERB
ejpam-3048	7	8	notations	notation	NOUN
ejpam-3048	7	9	are	be	AUX
ejpam-3048	7	10	used	use	VERB
ejpam-3048	7	11	throughout	throughout	ADP
ejpam-3048	7	12	this	this	DET
ejpam-3048	7	13	paper	paper	NOUN
ejpam-3048	7	14	.	.	PUNCT
ejpam-3048	8	1	we	we	PRON
ejpam-3048	8	2	use	use	VERB
ejpam-3048	8	3	i	i	PRON
ejpam-3048	8	4	to	to	PART
ejpam-3048	8	5	denote	denote	VERB
ejpam-3048	8	6	an	an	DET
ejpam-3048	8	7	interval	interval	NOUN
ejpam-3048	8	8	on	on	ADP
ejpam-3048	8	9	the	the	DET
ejpam-3048	8	10	real	real	ADJ
ejpam-3048	8	11	line	line	NOUN
ejpam-3048	9	1	r	r	NOUN
ejpam-3048	9	2	=	=	PUNCT
ejpam-3048	9	3	(	(	PUNCT
ejpam-3048	9	4	−∞,+∞	−∞,+∞	ADV
ejpam-3048	9	5	)	)	PUNCT
ejpam-3048	9	6	and	and	CCONJ
ejpam-3048	9	7	i	i	PRON
ejpam-3048	9	8	◦	◦	VERB
ejpam-3048	9	9	to	to	PART
ejpam-3048	9	10	denote	denote	VERB
ejpam-3048	9	11	the	the	DET
ejpam-3048	9	12	interior	interior	NOUN
ejpam-3048	9	13	of	of	ADP
ejpam-3048	9	14	i.	i.	NOUN
ejpam-3048	9	15	for	for	ADP
ejpam-3048	9	16	any	any	DET
ejpam-3048	9	17	subset	subset	NOUN
ejpam-3048	9	18	k	k	PROPN
ejpam-3048	9	19	⊆	⊆	NUM
ejpam-3048	9	20	rn	rn	PROPN
ejpam-3048	9	21	,	,	PUNCT
ejpam-3048	9	22	k	k	NOUN
ejpam-3048	9	23	◦	◦	NOUN
ejpam-3048	9	24	is	be	AUX
ejpam-3048	9	25	used	use	VERB
ejpam-3048	9	26	to	to	PART
ejpam-3048	9	27	denote	denote	VERB
ejpam-3048	9	28	the	the	DET
ejpam-3048	9	29	interior	interior	NOUN
ejpam-3048	9	30	of	of	ADP
ejpam-3048	9	31	k.	k.	PROPN
ejpam-3048	9	32	rn	rn	PROPN
ejpam-3048	9	33	is	be	AUX
ejpam-3048	9	34	used	use	VERB
ejpam-3048	9	35	to	to	PART
ejpam-3048	9	36	denote	denote	VERB
ejpam-3048	9	37	a	a	DET
ejpam-3048	9	38	n	n	ADV
ejpam-3048	9	39	-	-	PUNCT
ejpam-3048	9	40	dimensional	dimensional	ADJ
ejpam-3048	9	41	vector	vector	NOUN
ejpam-3048	9	42	space	space	NOUN
ejpam-3048	9	43	.	.	PUNCT
ejpam-3048	10	1	the	the	DET
ejpam-3048	10	2	set	set	NOUN
ejpam-3048	10	3	of	of	ADP
ejpam-3048	10	4	integrable	integrable	ADJ
ejpam-3048	10	5	functions	function	NOUN
ejpam-3048	10	6	on	on	ADP
ejpam-3048	10	7	the	the	DET
ejpam-3048	10	8	interval	interval	NOUN
ejpam-3048	10	9	[	[	X
ejpam-3048	10	10	a	a	X
ejpam-3048	10	11	,	,	PUNCT
ejpam-3048	10	12	b	b	NOUN
ejpam-3048	10	13	]	]	PUNCT
ejpam-3048	10	14	is	be	AUX
ejpam-3048	10	15	denoted	denote	VERB
ejpam-3048	10	16	by	by	ADP
ejpam-3048	10	17	l1[a	l1[a	NOUN
ejpam-3048	10	18	,	,	PUNCT
ejpam-3048	10	19	b	b	NOUN
ejpam-3048	10	20	]	]	X
ejpam-3048	10	21	.	.	PUNCT
ejpam-3048	11	1	the	the	DET
ejpam-3048	11	2	following	follow	VERB
ejpam-3048	11	3	inequality	inequality	NOUN
ejpam-3048	11	4	,	,	PUNCT
ejpam-3048	11	5	named	name	VERB
ejpam-3048	11	6	hermite	hermite	ADJ
ejpam-3048	11	7	-	-	PUNCT
ejpam-3048	11	8	hadamard	hadamard	ADJ
ejpam-3048	11	9	inequality	inequality	NOUN
ejpam-3048	11	10	,	,	PUNCT
ejpam-3048	11	11	is	be	AUX
ejpam-3048	11	12	one	one	NUM
ejpam-3048	11	13	of	of	ADP
ejpam-3048	11	14	the	the	DET
ejpam-3048	11	15	most	most	ADV
ejpam-3048	11	16	famous	famous	ADJ
ejpam-3048	11	17	inequalities	inequality	NOUN
ejpam-3048	11	18	in	in	ADP
ejpam-3048	11	19	the	the	DET
ejpam-3048	11	20	literature	literature	NOUN
ejpam-3048	11	21	for	for	ADP
ejpam-3048	11	22	convex	convex	NOUN
ejpam-3048	11	23	functions	function	NOUN
ejpam-3048	11	24	.	.	PUNCT
ejpam-3048	12	1	theorem	theorem	NOUN
ejpam-3048	12	2	1	1	NUM
ejpam-3048	12	3	.	.	PUNCT
ejpam-3048	13	1	let	let	VERB
ejpam-3048	13	2	f	f	NOUN
ejpam-3048	13	3	:	:	PUNCT
ejpam-3048	13	4	i	i	PRON
ejpam-3048	14	1	⊆	⊆	NUM
ejpam-3048	14	2	r	r	NOUN
ejpam-3048	14	3	−→	−→	NOUN
ejpam-3048	14	4	r	r	NOUN
ejpam-3048	14	5	be	be	VERB
ejpam-3048	14	6	a	a	DET
ejpam-3048	14	7	convex	convex	NOUN
ejpam-3048	14	8	function	function	NOUN
ejpam-3048	14	9	and	and	CCONJ
ejpam-3048	14	10	a	a	DET
ejpam-3048	14	11	,	,	PUNCT
ejpam-3048	14	12	b	b	X
ejpam-3048	14	13	∈	∈	NOUN
ejpam-3048	14	14	i	i	PRON
ejpam-3048	14	15	with	with	ADP
ejpam-3048	14	16	a	a	DET
ejpam-3048	14	17	<	<	X
ejpam-3048	14	18	b.	b.	NOUN
ejpam-3048	14	19	then	then	ADV
ejpam-3048	14	20	the	the	DET
ejpam-3048	14	21	following	follow	VERB
ejpam-3048	14	22	inequality	inequality	NOUN
ejpam-3048	14	23	holds	hold	VERB
ejpam-3048	14	24	:	:	PUNCT
ejpam-3048	14	25	f	f	PROPN
ejpam-3048	14	26	(	(	PUNCT
ejpam-3048	14	27	a+	a+	PUNCT
ejpam-3048	14	28	b	b	PROPN
ejpam-3048	14	29	2	2	X
ejpam-3048	14	30	)	)	PUNCT
ejpam-3048	14	31	≤	≤	NOUN
ejpam-3048	14	32	1	1	NUM
ejpam-3048	14	33	b−	b−	PROPN
ejpam-3048	14	34	a	a	DET
ejpam-3048	14	35	∫	∫	PROPN
ejpam-3048	14	36	b	b	PROPN
ejpam-3048	14	37	a	a	DET
ejpam-3048	14	38	f(x)dx	f(x)dx	NUM
ejpam-3048	14	39	≤	≤	NUM
ejpam-3048	14	40	f(a	f(a	NOUN
ejpam-3048	14	41	)	)	PUNCT
ejpam-3048	15	1	+	+	CCONJ
ejpam-3048	15	2	f(b	f(b	X
ejpam-3048	15	3	)	)	PUNCT
ejpam-3048	15	4	2	2	NUM
ejpam-3048	15	5	.	.	PUNCT
ejpam-3048	16	1	(	(	PUNCT
ejpam-3048	16	2	1	1	X
ejpam-3048	16	3	)	)	PUNCT
ejpam-3048	16	4	definition	definition	NOUN
ejpam-3048	16	5	1	1	NUM
ejpam-3048	16	6	.	.	PUNCT
ejpam-3048	16	7	∗corresponding	∗corresponde	VERB
ejpam-3048	16	8	author	author	NOUN
ejpam-3048	16	9	.	.	PUNCT
ejpam-3048	17	1	email	email	NOUN
ejpam-3048	17	2	addresses	address	NOUN
ejpam-3048	17	3	:	:	PUNCT
ejpam-3048	17	4	aklifundo@yahoo.com	aklifundo@yahoo.com	X
ejpam-3048	17	5	(	(	PUNCT
ejpam-3048	17	6	a.	a.	NOUN
ejpam-3048	17	7	fundo	fundo	PROPN
ejpam-3048	17	8	)	)	PUNCT
ejpam-3048	17	9	,	,	PUNCT
ejpam-3048	17	10	artionkashuri@gmail.com	artionkashuri@gmail.com	X
ejpam-3048	17	11	(	(	PUNCT
ejpam-3048	17	12	a.	a.	NOUN
ejpam-3048	17	13	kashuri	kashuri	PROPN
ejpam-3048	17	14	)	)	PUNCT
ejpam-3048	17	15	,	,	PUNCT
ejpam-3048	17	16	miftar.ramosaco@gmail.com	miftar.ramosaco@gmail.com	X
ejpam-3048	17	17	(	(	PUNCT
ejpam-3048	17	18	m.	m.	NOUN
ejpam-3048	17	19	ramosaço	ramosaço	NOUN
ejpam-3048	17	20	)	)	PUNCT
ejpam-3048	17	21	,	,	PUNCT
ejpam-3048	17	22	rozanaliko86@gmail.com	rozanaliko86@gmail.com	PROPN
ejpam-3048	17	23	(	(	PUNCT
ejpam-3048	17	24	r.	r.	PROPN
ejpam-3048	17	25	liko	liko	PROPN
ejpam-3048	17	26	)	)	PUNCT
ejpam-3048	17	27	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3048	18	1	809	809	NUM
ejpam-3048	18	2	c	c	X
ejpam-3048	18	3	©	©	PROPN
ejpam-3048	18	4	2017	2017	NUM
ejpam-3048	18	5	ejpam	ejpam	VERB
ejpam-3048	18	6	all	all	DET
ejpam-3048	18	7	rights	right	NOUN
ejpam-3048	18	8	reserved	reserve	VERB
ejpam-3048	18	9	.	.	PUNCT
ejpam-3048	19	1	a.	a.	NOUN
ejpam-3048	19	2	fundo	fundo	PROPN
ejpam-3048	19	3	,	,	PUNCT
ejpam-3048	19	4	a.	a.	NOUN
ejpam-3048	19	5	kashuri	kashuri	PROPN
ejpam-3048	19	6	,	,	PUNCT
ejpam-3048	19	7	m.	m.	NOUN
ejpam-3048	19	8	ramosaço	ramosaço	PROPN
ejpam-3048	19	9	,	,	PUNCT
ejpam-3048	19	10	r.	r.	PROPN
ejpam-3048	19	11	liko	liko	PROPN
ejpam-3048	19	12	/	/	SYM
ejpam-3048	19	13	eur	eur	PROPN
ejpam-3048	19	14	.	.	PUNCT
ejpam-3048	20	1	j.	j.	PROPN
ejpam-3048	20	2	pure	pure	PROPN
ejpam-3048	20	3	appl	appl	PROPN
ejpam-3048	20	4	.	.	PROPN
ejpam-3048	20	5	math	math	PROPN
ejpam-3048	20	6	,	,	PUNCT
ejpam-3048	20	7	10	10	NUM
ejpam-3048	20	8	(	(	PUNCT
ejpam-3048	20	9	4	4	NUM
ejpam-3048	20	10	)	)	PUNCT
ejpam-3048	20	11	(	(	PUNCT
ejpam-3048	20	12	2017	2017	NUM
ejpam-3048	20	13	)	)	PUNCT
ejpam-3048	20	14	,	,	PUNCT
ejpam-3048	20	15	809	809	NUM
ejpam-3048	20	16	-	-	SYM
ejpam-3048	20	17	834	834	NUM
ejpam-3048	20	18	810	810	NUM
ejpam-3048	20	19	in	in	ADP
ejpam-3048	20	20	(	(	PUNCT
ejpam-3048	20	21	see	see	VERB
ejpam-3048	20	22	[	[	X
ejpam-3048	20	23	32],[35	32],[35	NOUN
ejpam-3048	20	24	]	]	PUNCT
ejpam-3048	20	25	)	)	PUNCT
ejpam-3048	20	26	,	,	PUNCT
ejpam-3048	20	27	tunç	tunç	NOUN
ejpam-3048	20	28	and	and	CCONJ
ejpam-3048	20	29	yidirim	yidirim	PROPN
ejpam-3048	20	30	defined	define	VERB
ejpam-3048	20	31	the	the	DET
ejpam-3048	20	32	following	follow	VERB
ejpam-3048	20	33	so	so	ADV
ejpam-3048	20	34	-	-	PUNCT
ejpam-3048	20	35	called	call	VERB
ejpam-3048	20	36	mt	mt	NOUN
ejpam-3048	20	37	-	-	PUNCT
ejpam-3048	20	38	convex	convex	PROPN
ejpam-3048	20	39	function	function	NOUN
ejpam-3048	20	40	:	:	PUNCT
ejpam-3048	20	41	a	a	DET
ejpam-3048	20	42	function	function	NOUN
ejpam-3048	21	1	f	f	NOUN
ejpam-3048	21	2	:	:	PUNCT
ejpam-3048	21	3	i	i	PRON
ejpam-3048	22	1	⊆	⊆	NUM
ejpam-3048	22	2	r	r	NOUN
ejpam-3048	22	3	−→	−→	NOUN
ejpam-3048	22	4	r	r	NOUN
ejpam-3048	22	5	is	be	AUX
ejpam-3048	22	6	said	say	VERB
ejpam-3048	22	7	to	to	PART
ejpam-3048	22	8	belong	belong	VERB
ejpam-3048	22	9	to	to	ADP
ejpam-3048	22	10	the	the	DET
ejpam-3048	22	11	class	class	NOUN
ejpam-3048	22	12	of	of	ADP
ejpam-3048	22	13	mt(i	mt(i	NUM
ejpam-3048	22	14	)	)	PUNCT
ejpam-3048	22	15	,	,	PUNCT
ejpam-3048	22	16	if	if	SCONJ
ejpam-3048	22	17	it	it	PRON
ejpam-3048	22	18	is	be	AUX
ejpam-3048	22	19	nonnegative	nonnegative	ADJ
ejpam-3048	22	20	and	and	CCONJ
ejpam-3048	22	21	for	for	ADP
ejpam-3048	22	22	all	all	DET
ejpam-3048	22	23	x	x	NOUN
ejpam-3048	22	24	,	,	PUNCT
ejpam-3048	22	25	y	y	PROPN
ejpam-3048	22	26	∈	∈	PROPN
ejpam-3048	23	1	i	i	PRON
ejpam-3048	23	2	and	and	CCONJ
ejpam-3048	23	3	t	t	PROPN
ejpam-3048	23	4	∈	∈	PROPN
ejpam-3048	23	5	(	(	PUNCT
ejpam-3048	23	6	0	0	NUM
ejpam-3048	23	7	,	,	PUNCT
ejpam-3048	23	8	1	1	NUM
ejpam-3048	23	9	)	)	PUNCT
ejpam-3048	23	10	satisfies	satisfy	VERB
ejpam-3048	23	11	the	the	DET
ejpam-3048	23	12	following	follow	VERB
ejpam-3048	23	13	inequality	inequality	NOUN
ejpam-3048	23	14	:	:	PUNCT
ejpam-3048	23	15	f(tx+	f(tx+	PROPN
ejpam-3048	23	16	(	(	PUNCT
ejpam-3048	23	17	1−	1−	NUM
ejpam-3048	23	18	t)y	t)y	ADJ
ejpam-3048	23	19	)	)	PUNCT
ejpam-3048	23	20	≤	≤	NUM
ejpam-3048	24	1	√	√	NUM
ejpam-3048	24	2	t	t	PROPN
ejpam-3048	24	3	2	2	NUM
ejpam-3048	24	4	√	√	PROPN
ejpam-3048	24	5	1−	1−	NUM
ejpam-3048	24	6	t	t	PROPN
ejpam-3048	24	7	f(x	f(x	PROPN
ejpam-3048	24	8	)	)	PUNCT
ejpam-3048	25	1	+	+	CCONJ
ejpam-3048	25	2	√	√	NUM
ejpam-3048	25	3	1−	1−	NUM
ejpam-3048	25	4	t	t	PROPN
ejpam-3048	25	5	2	2	NUM
ejpam-3048	25	6	√	√	PROPN
ejpam-3048	25	7	t	t	PROPN
ejpam-3048	25	8	f(y	f(y	PROPN
ejpam-3048	25	9	)	)	PUNCT
ejpam-3048	25	10	.	.	PUNCT
ejpam-3048	26	1	(	(	PUNCT
ejpam-3048	26	2	2	2	X
ejpam-3048	26	3	)	)	PUNCT
ejpam-3048	26	4	in	in	ADP
ejpam-3048	26	5	recent	recent	ADJ
ejpam-3048	26	6	years	year	NOUN
ejpam-3048	26	7	,	,	PUNCT
ejpam-3048	26	8	various	various	ADJ
ejpam-3048	26	9	generalizations	generalization	NOUN
ejpam-3048	26	10	,	,	PUNCT
ejpam-3048	26	11	extensions	extension	NOUN
ejpam-3048	26	12	and	and	CCONJ
ejpam-3048	26	13	variants	variant	NOUN
ejpam-3048	26	14	of	of	ADP
ejpam-3048	26	15	such	such	ADJ
ejpam-3048	26	16	inequalities	inequality	NOUN
ejpam-3048	26	17	have	have	AUX
ejpam-3048	26	18	been	be	AUX
ejpam-3048	26	19	obtained	obtain	VERB
ejpam-3048	26	20	.	.	PUNCT
ejpam-3048	27	1	for	for	ADP
ejpam-3048	27	2	other	other	ADJ
ejpam-3048	27	3	recent	recent	ADJ
ejpam-3048	27	4	results	result	NOUN
ejpam-3048	27	5	concerning	concern	VERB
ejpam-3048	27	6	hermite	hermite	ADJ
ejpam-3048	27	7	-	-	PUNCT
ejpam-3048	27	8	hadamard	hadamard	ADJ
ejpam-3048	27	9	type	type	NOUN
ejpam-3048	27	10	inequalities	inequality	NOUN
ejpam-3048	27	11	through	through	ADP
ejpam-3048	27	12	various	various	ADJ
ejpam-3048	27	13	classes	class	NOUN
ejpam-3048	27	14	of	of	ADP
ejpam-3048	27	15	convex	convex	NOUN
ejpam-3048	27	16	functions	function	NOUN
ejpam-3048	27	17	,	,	PUNCT
ejpam-3048	27	18	(	(	PUNCT
ejpam-3048	27	19	see	see	VERB
ejpam-3048	27	20	[	[	X
ejpam-3048	27	21	12],[13],[18]-[27],[33],[34	12],[13],[18]-[27],[33],[34	NOUN
ejpam-3048	27	22	]	]	PUNCT
ejpam-3048	27	23	)	)	PUNCT
ejpam-3048	27	24	.	.	PUNCT
ejpam-3048	28	1	fractional	fractional	ADJ
ejpam-3048	28	2	calculus	calculus	NOUN
ejpam-3048	28	3	(	(	PUNCT
ejpam-3048	28	4	see	see	VERB
ejpam-3048	28	5	[	[	X
ejpam-3048	28	6	31	31	NUM
ejpam-3048	28	7	]	]	PUNCT
ejpam-3048	28	8	)	)	PUNCT
ejpam-3048	28	9	,	,	PUNCT
ejpam-3048	28	10	was	be	AUX
ejpam-3048	28	11	introduced	introduce	VERB
ejpam-3048	28	12	at	at	ADP
ejpam-3048	28	13	the	the	DET
ejpam-3048	28	14	end	end	NOUN
ejpam-3048	28	15	of	of	ADP
ejpam-3048	28	16	the	the	DET
ejpam-3048	28	17	nineteenth	nineteenth	ADJ
ejpam-3048	28	18	century	century	NOUN
ejpam-3048	28	19	by	by	ADP
ejpam-3048	28	20	liouville	liouville	NOUN
ejpam-3048	28	21	and	and	CCONJ
ejpam-3048	28	22	riemann	riemann	PROPN
ejpam-3048	28	23	,	,	PUNCT
ejpam-3048	28	24	the	the	DET
ejpam-3048	28	25	subject	subject	NOUN
ejpam-3048	28	26	of	of	ADP
ejpam-3048	28	27	which	which	PRON
ejpam-3048	28	28	has	have	AUX
ejpam-3048	28	29	become	become	VERB
ejpam-3048	28	30	a	a	DET
ejpam-3048	28	31	rapidly	rapidly	ADV
ejpam-3048	28	32	growing	grow	VERB
ejpam-3048	28	33	area	area	NOUN
ejpam-3048	28	34	and	and	CCONJ
ejpam-3048	28	35	has	have	AUX
ejpam-3048	28	36	found	find	VERB
ejpam-3048	28	37	applications	application	NOUN
ejpam-3048	28	38	in	in	ADP
ejpam-3048	28	39	diverse	diverse	ADJ
ejpam-3048	28	40	fields	field	NOUN
ejpam-3048	28	41	ranging	range	VERB
ejpam-3048	28	42	from	from	ADP
ejpam-3048	28	43	physical	physical	ADJ
ejpam-3048	28	44	sciences	science	NOUN
ejpam-3048	28	45	and	and	CCONJ
ejpam-3048	28	46	engineering	engineering	NOUN
ejpam-3048	28	47	to	to	ADP
ejpam-3048	28	48	biological	biological	ADJ
ejpam-3048	28	49	sciences	science	NOUN
ejpam-3048	28	50	and	and	CCONJ
ejpam-3048	28	51	economics	economic	NOUN
ejpam-3048	28	52	.	.	PUNCT
ejpam-3048	29	1	definition	definition	NOUN
ejpam-3048	29	2	2	2	NUM
ejpam-3048	29	3	.	.	PUNCT
ejpam-3048	30	1	let	let	VERB
ejpam-3048	30	2	f	f	PROPN
ejpam-3048	30	3	∈	∈	PROPN
ejpam-3048	30	4	l1[a	l1[a	NOUN
ejpam-3048	30	5	,	,	PUNCT
ejpam-3048	30	6	b	b	NOUN
ejpam-3048	30	7	]	]	X
ejpam-3048	30	8	.	.	PUNCT
ejpam-3048	31	1	the	the	DET
ejpam-3048	31	2	riemann	riemann	PROPN
ejpam-3048	31	3	-	-	PUNCT
ejpam-3048	31	4	liouville	liouville	NOUN
ejpam-3048	31	5	integrals	integral	NOUN
ejpam-3048	31	6	jαa+f	jαa+f	PROPN
ejpam-3048	31	7	and	and	CCONJ
ejpam-3048	31	8	jαb−f	jαb−f	NOUN
ejpam-3048	31	9	of	of	ADP
ejpam-3048	31	10	order	order	NOUN
ejpam-3048	31	11	α	α	X
ejpam-3048	31	12	>	>	X
ejpam-3048	31	13	0	0	PUNCT
ejpam-3048	31	14	with	with	ADP
ejpam-3048	31	15	a	a	DET
ejpam-3048	31	16	≥	≥	NOUN
ejpam-3048	31	17	0	0	NUM
ejpam-3048	31	18	are	be	AUX
ejpam-3048	31	19	defined	define	VERB
ejpam-3048	31	20	by	by	ADP
ejpam-3048	31	21	jαa+f(x	jαa+f(x	PROPN
ejpam-3048	31	22	)	)	PUNCT
ejpam-3048	31	23	=	=	SYM
ejpam-3048	31	24	1	1	NUM
ejpam-3048	31	25	γ(α	γ(α	NOUN
ejpam-3048	31	26	)	)	PUNCT
ejpam-3048	31	27	∫	∫	PROPN
ejpam-3048	32	1	x	x	X
ejpam-3048	32	2	a	a	DET
ejpam-3048	32	3	(	(	PUNCT
ejpam-3048	32	4	x−	x−	PROPN
ejpam-3048	32	5	t)α−1f(t)dt	t)α−1f(t)dt	PROPN
ejpam-3048	32	6	,	,	PUNCT
ejpam-3048	32	7	x	x	X
ejpam-3048	32	8	>	>	X
ejpam-3048	32	9	a	a	PRON
ejpam-3048	32	10	and	and	CCONJ
ejpam-3048	32	11	jαb−f(x	jαb−f(x	PROPN
ejpam-3048	32	12	)	)	PUNCT
ejpam-3048	32	13	=	=	SYM
ejpam-3048	32	14	1	1	NUM
ejpam-3048	32	15	γ(α	γ(α	NOUN
ejpam-3048	32	16	)	)	PUNCT
ejpam-3048	33	1	∫	∫	PROPN
ejpam-3048	34	1	b	b	PROPN
ejpam-3048	34	2	x	x	X
ejpam-3048	34	3	(	(	PUNCT
ejpam-3048	34	4	t−	t−	PROPN
ejpam-3048	34	5	x)α−1f(t)dt	x)α−1f(t)dt	PROPN
ejpam-3048	34	6	,	,	PUNCT
ejpam-3048	34	7	b	b	X
ejpam-3048	34	8	>	>	X
ejpam-3048	34	9	x	x	NOUN
ejpam-3048	34	10	,	,	PUNCT
ejpam-3048	34	11	where	where	SCONJ
ejpam-3048	34	12	γ(α	γ(α	NOUN
ejpam-3048	34	13	)	)	PUNCT
ejpam-3048	34	14	=	=	PUNCT
ejpam-3048	35	1	∫	∫	PROPN
ejpam-3048	36	1	+	+	NUM
ejpam-3048	36	2	∞	∞	NOUN
ejpam-3048	36	3	0	0	NUM
ejpam-3048	36	4	e−uuα−1du	e−uuα−1du	ADJ
ejpam-3048	36	5	.	.	PUNCT
ejpam-3048	37	1	here	here	ADV
ejpam-3048	37	2	j0	j0	PROPN
ejpam-3048	37	3	a+f(x	a+f(x	NOUN
ejpam-3048	37	4	)	)	PUNCT
ejpam-3048	37	5	=	=	PROPN
ejpam-3048	37	6	j0	j0	PROPN
ejpam-3048	37	7	b−f(x	b−f(x	PROPN
ejpam-3048	37	8	)	)	PUNCT
ejpam-3048	37	9	=	=	SYM
ejpam-3048	37	10	f(x	f(x	PROPN
ejpam-3048	37	11	)	)	PUNCT
ejpam-3048	37	12	.	.	PUNCT
ejpam-3048	38	1	in	in	ADP
ejpam-3048	38	2	the	the	DET
ejpam-3048	38	3	case	case	NOUN
ejpam-3048	38	4	of	of	ADP
ejpam-3048	38	5	α	α	NOUN
ejpam-3048	38	6	=	=	SYM
ejpam-3048	38	7	1	1	NUM
ejpam-3048	38	8	,	,	PUNCT
ejpam-3048	38	9	the	the	DET
ejpam-3048	38	10	fractional	fractional	ADJ
ejpam-3048	38	11	integral	integral	ADJ
ejpam-3048	38	12	reduces	reduce	NOUN
ejpam-3048	38	13	to	to	ADP
ejpam-3048	38	14	the	the	DET
ejpam-3048	38	15	classical	classical	ADJ
ejpam-3048	38	16	integral	integral	NOUN
ejpam-3048	38	17	.	.	PUNCT
ejpam-3048	39	1	the	the	DET
ejpam-3048	39	2	following	follow	VERB
ejpam-3048	39	3	definitions	definition	NOUN
ejpam-3048	39	4	will	will	AUX
ejpam-3048	39	5	be	be	AUX
ejpam-3048	39	6	used	use	VERB
ejpam-3048	39	7	in	in	ADP
ejpam-3048	39	8	the	the	DET
ejpam-3048	39	9	sequel	sequel	NOUN
ejpam-3048	39	10	.	.	PUNCT
ejpam-3048	40	1	definition	definition	NOUN
ejpam-3048	40	2	3	3	NUM
ejpam-3048	40	3	.	.	PUNCT
ejpam-3048	41	1	the	the	DET
ejpam-3048	41	2	euler	euler	NOUN
ejpam-3048	41	3	beta	beta	NOUN
ejpam-3048	41	4	function	function	NOUN
ejpam-3048	41	5	is	be	AUX
ejpam-3048	41	6	defined	define	VERB
ejpam-3048	41	7	for	for	ADP
ejpam-3048	41	8	a	a	DET
ejpam-3048	41	9	,	,	PUNCT
ejpam-3048	41	10	b	b	X
ejpam-3048	41	11	>	>	X
ejpam-3048	41	12	0	0	PUNCT
ejpam-3048	41	13	as	as	ADP
ejpam-3048	41	14	β(a	β(a	PROPN
ejpam-3048	41	15	,	,	PUNCT
ejpam-3048	41	16	b	b	NOUN
ejpam-3048	41	17	)	)	PUNCT
ejpam-3048	41	18	=	=	SYM
ejpam-3048	42	1	∫	∫	PROPN
ejpam-3048	42	2	1	1	NUM
ejpam-3048	42	3	0	0	NUM
ejpam-3048	42	4	ta−1(1−	ta−1(1−	PROPN
ejpam-3048	42	5	t)b−1dt	t)b−1dt	PROPN
ejpam-3048	42	6	=	=	PUNCT
ejpam-3048	42	7	γ(a)γ(b	γ(a)γ(b	X
ejpam-3048	42	8	)	)	PUNCT
ejpam-3048	42	9	γ(a+	γ(a+	NOUN
ejpam-3048	42	10	b	b	NOUN
ejpam-3048	42	11	)	)	PUNCT
ejpam-3048	42	12	.	.	PUNCT
ejpam-3048	43	1	definition	definition	NOUN
ejpam-3048	43	2	4	4	NUM
ejpam-3048	43	3	.	.	PUNCT
ejpam-3048	44	1	the	the	DET
ejpam-3048	44	2	incomplete	incomplete	ADJ
ejpam-3048	44	3	beta	beta	NOUN
ejpam-3048	44	4	function	function	NOUN
ejpam-3048	44	5	is	be	AUX
ejpam-3048	44	6	defined	define	VERB
ejpam-3048	44	7	for	for	ADP
ejpam-3048	44	8	a	a	DET
ejpam-3048	44	9	,	,	PUNCT
ejpam-3048	44	10	b	b	X
ejpam-3048	44	11	>	>	X
ejpam-3048	44	12	0	0	PUNCT
ejpam-3048	44	13	as	as	ADP
ejpam-3048	44	14	βx(a	βx(a	NOUN
ejpam-3048	44	15	,	,	PUNCT
ejpam-3048	44	16	b	b	X
ejpam-3048	44	17	)	)	PUNCT
ejpam-3048	44	18	=	=	SYM
ejpam-3048	45	1	∫	∫	PROPN
ejpam-3048	45	2	x	x	SYM
ejpam-3048	45	3	0	0	NUM
ejpam-3048	45	4	ta−1(1−	ta−1(1−	PROPN
ejpam-3048	45	5	t)b−1dt	t)b−1dt	PROPN
ejpam-3048	45	6	,	,	PUNCT
ejpam-3048	45	7	0	0	PUNCT
ejpam-3048	45	8	<	<	X
ejpam-3048	45	9	x	x	SYM
ejpam-3048	45	10	≤	≤	NUM
ejpam-3048	45	11	1	1	NUM
ejpam-3048	45	12	.	.	PUNCT
ejpam-3048	46	1	for	for	ADP
ejpam-3048	46	2	x	x	SYM
ejpam-3048	46	3	=	=	SYM
ejpam-3048	46	4	1	1	NUM
ejpam-3048	46	5	,	,	PUNCT
ejpam-3048	46	6	the	the	DET
ejpam-3048	46	7	incomplete	incomplete	ADJ
ejpam-3048	46	8	beta	beta	NOUN
ejpam-3048	46	9	function	function	NOUN
ejpam-3048	46	10	coincides	coincide	VERB
ejpam-3048	46	11	with	with	ADP
ejpam-3048	46	12	the	the	DET
ejpam-3048	46	13	complete	complete	ADJ
ejpam-3048	46	14	beta	beta	NOUN
ejpam-3048	46	15	function	function	NOUN
ejpam-3048	46	16	.	.	PUNCT
ejpam-3048	47	1	definition	definition	NOUN
ejpam-3048	47	2	5	5	NUM
ejpam-3048	47	3	.	.	PUNCT
ejpam-3048	48	1	let	let	VERB
ejpam-3048	48	2	g	g	NOUN
ejpam-3048	48	3	:	:	PUNCT
ejpam-3048	49	1	[	[	X
ejpam-3048	49	2	0	0	NUM
ejpam-3048	49	3	,	,	PUNCT
ejpam-3048	49	4	1	1	NUM
ejpam-3048	49	5	]	]	X
ejpam-3048	49	6	−→	−→	NOUN
ejpam-3048	49	7	[	[	X
ejpam-3048	49	8	0	0	NUM
ejpam-3048	49	9	,	,	PUNCT
ejpam-3048	49	10	1	1	NUM
ejpam-3048	49	11	]	]	PUNCT
ejpam-3048	49	12	be	be	AUX
ejpam-3048	49	13	a	a	DET
ejpam-3048	49	14	differentiable	differentiable	ADJ
ejpam-3048	49	15	function	function	NOUN
ejpam-3048	49	16	.	.	PUNCT
ejpam-3048	50	1	the	the	DET
ejpam-3048	50	2	new	new	ADJ
ejpam-3048	50	3	generalized	generalized	ADJ
ejpam-3048	50	4	incomplete	incomplete	ADJ
ejpam-3048	50	5	beta	beta	NOUN
ejpam-3048	50	6	function	function	NOUN
ejpam-3048	50	7	is	be	AUX
ejpam-3048	50	8	defined	define	VERB
ejpam-3048	50	9	for	for	ADP
ejpam-3048	50	10	a	a	DET
ejpam-3048	50	11	,	,	PUNCT
ejpam-3048	50	12	b	b	X
ejpam-3048	50	13	>	>	X
ejpam-3048	50	14	0	0	PUNCT
ejpam-3048	50	15	as	as	ADP
ejpam-3048	50	16	bg(x)(a	bg(x)(a	NOUN
ejpam-3048	50	17	,	,	PUNCT
ejpam-3048	50	18	b	b	X
ejpam-3048	50	19	)	)	PUNCT
ejpam-3048	51	1	=	=	SYM
ejpam-3048	51	2	∫	∫	PROPN
ejpam-3048	51	3	g(x	g(x	NOUN
ejpam-3048	51	4	)	)	PUNCT
ejpam-3048	51	5	g(0	g(0	NOUN
ejpam-3048	51	6	)	)	PUNCT
ejpam-3048	51	7	ta−1(1−	ta−1(1−	PROPN
ejpam-3048	51	8	t)b−1dt	t)b−1dt	PROPN
ejpam-3048	51	9	.	.	PUNCT
ejpam-3048	52	1	a.	a.	PROPN
ejpam-3048	52	2	fundo	fundo	PROPN
ejpam-3048	52	3	,	,	PUNCT
ejpam-3048	52	4	a.	a.	NOUN
ejpam-3048	52	5	kashuri	kashuri	PROPN
ejpam-3048	52	6	,	,	PUNCT
ejpam-3048	52	7	m.	m.	NOUN
ejpam-3048	52	8	ramosaço	ramosaço	PROPN
ejpam-3048	52	9	,	,	PUNCT
ejpam-3048	52	10	r.	r.	PROPN
ejpam-3048	52	11	liko	liko	PROPN
ejpam-3048	52	12	/	/	SYM
ejpam-3048	52	13	eur	eur	PROPN
ejpam-3048	52	14	.	.	PUNCT
ejpam-3048	53	1	j.	j.	PROPN
ejpam-3048	53	2	pure	pure	PROPN
ejpam-3048	53	3	appl	appl	PROPN
ejpam-3048	53	4	.	.	PROPN
ejpam-3048	53	5	math	math	PROPN
ejpam-3048	53	6	,	,	PUNCT
ejpam-3048	53	7	10	10	NUM
ejpam-3048	53	8	(	(	PUNCT
ejpam-3048	53	9	4	4	NUM
ejpam-3048	53	10	)	)	PUNCT
ejpam-3048	53	11	(	(	PUNCT
ejpam-3048	53	12	2017	2017	NUM
ejpam-3048	53	13	)	)	PUNCT
ejpam-3048	53	14	,	,	PUNCT
ejpam-3048	53	15	809	809	NUM
ejpam-3048	53	16	-	-	SYM
ejpam-3048	53	17	834	834	NUM
ejpam-3048	53	18	811	811	NUM
ejpam-3048	53	19	for	for	ADP
ejpam-3048	53	20	g(x	g(x	NOUN
ejpam-3048	53	21	)	)	PUNCT
ejpam-3048	54	1	=	=	SYM
ejpam-3048	54	2	x	x	NOUN
ejpam-3048	54	3	,	,	PUNCT
ejpam-3048	54	4	the	the	DET
ejpam-3048	54	5	new	new	ADJ
ejpam-3048	54	6	generalized	generalized	ADJ
ejpam-3048	54	7	incomplete	incomplete	ADJ
ejpam-3048	54	8	beta	beta	NOUN
ejpam-3048	54	9	function	function	NOUN
ejpam-3048	54	10	coincides	coincide	VERB
ejpam-3048	54	11	with	with	ADP
ejpam-3048	54	12	the	the	DET
ejpam-3048	54	13	incomplete	incomplete	ADJ
ejpam-3048	54	14	beta	beta	NOUN
ejpam-3048	54	15	function	function	NOUN
ejpam-3048	54	16	.	.	PUNCT
ejpam-3048	55	1	in	in	ADP
ejpam-3048	55	2	the	the	DET
ejpam-3048	55	3	following	following	NOUN
ejpam-3048	55	4	,	,	PUNCT
ejpam-3048	55	5	we	we	PRON
ejpam-3048	55	6	give	give	VERB
ejpam-3048	55	7	some	some	DET
ejpam-3048	55	8	definitions	definition	NOUN
ejpam-3048	55	9	and	and	CCONJ
ejpam-3048	55	10	properties	property	NOUN
ejpam-3048	55	11	of	of	ADP
ejpam-3048	55	12	conformable	conformable	ADJ
ejpam-3048	55	13	fractional	fractional	ADJ
ejpam-3048	55	14	integrals	integral	NOUN
ejpam-3048	55	15	which	which	PRON
ejpam-3048	55	16	help	help	VERB
ejpam-3048	55	17	to	to	PART
ejpam-3048	55	18	obtain	obtain	VERB
ejpam-3048	55	19	main	main	ADJ
ejpam-3048	55	20	identity	identity	NOUN
ejpam-3048	55	21	and	and	CCONJ
ejpam-3048	55	22	results	result	NOUN
ejpam-3048	55	23	.	.	PUNCT
ejpam-3048	56	1	recently	recently	ADV
ejpam-3048	56	2	,	,	PUNCT
ejpam-3048	56	3	some	some	DET
ejpam-3048	56	4	authors	author	NOUN
ejpam-3048	56	5	,	,	PUNCT
ejpam-3048	56	6	started	start	VERB
ejpam-3048	56	7	to	to	PART
ejpam-3048	56	8	study	study	VERB
ejpam-3048	56	9	on	on	ADP
ejpam-3048	56	10	conformable	conformable	ADJ
ejpam-3048	56	11	fractional	fractional	ADJ
ejpam-3048	56	12	integrals	integral	NOUN
ejpam-3048	56	13	(	(	PUNCT
ejpam-3048	56	14	see	see	VERB
ejpam-3048	56	15	[	[	X
ejpam-3048	56	16	1],[2	1],[2	NOUN
ejpam-3048	56	17	]	]	PUNCT
ejpam-3048	56	18	)	)	PUNCT
ejpam-3048	56	19	.	.	PUNCT
ejpam-3048	57	1	in	in	ADP
ejpam-3048	57	2	(	(	PUNCT
ejpam-3048	57	3	see	see	VERB
ejpam-3048	57	4	[	[	X
ejpam-3048	57	5	5	5	NUM
ejpam-3048	57	6	]	]	NUM
ejpam-3048	57	7	)	)	PUNCT
ejpam-3048	57	8	,	,	PUNCT
ejpam-3048	57	9	khalil	khalil	PROPN
ejpam-3048	57	10	et	et	PROPN
ejpam-3048	57	11	al	al	PROPN
ejpam-3048	57	12	.	.	PROPN
ejpam-3048	57	13	defined	define	VERB
ejpam-3048	57	14	the	the	DET
ejpam-3048	57	15	fractional	fractional	ADJ
ejpam-3048	57	16	integral	integral	NOUN
ejpam-3048	57	17	of	of	ADP
ejpam-3048	57	18	order	order	NOUN
ejpam-3048	57	19	0	0	PUNCT
ejpam-3048	57	20	<	<	X
ejpam-3048	57	21	α	α	PROPN
ejpam-3048	57	22	≤	≤	NUM
ejpam-3048	57	23	1	1	NUM
ejpam-3048	57	24	only	only	ADV
ejpam-3048	57	25	.	.	PUNCT
ejpam-3048	58	1	in	in	ADP
ejpam-3048	58	2	(	(	PUNCT
ejpam-3048	58	3	see	see	VERB
ejpam-3048	58	4	[	[	X
ejpam-3048	58	5	6	6	NUM
ejpam-3048	58	6	]	]	NUM
ejpam-3048	58	7	)	)	PUNCT
ejpam-3048	58	8	,	,	PUNCT
ejpam-3048	58	9	abdeljawad	abdeljawad	NOUN
ejpam-3048	58	10	gave	give	VERB
ejpam-3048	58	11	the	the	DET
ejpam-3048	58	12	definition	definition	NOUN
ejpam-3048	58	13	of	of	ADP
ejpam-3048	58	14	left	left	ADJ
ejpam-3048	58	15	and	and	CCONJ
ejpam-3048	58	16	right	right	ADV
ejpam-3048	58	17	conformable	conformable	ADJ
ejpam-3048	58	18	fractional	fractional	ADJ
ejpam-3048	58	19	integrals	integral	NOUN
ejpam-3048	58	20	of	of	ADP
ejpam-3048	58	21	any	any	DET
ejpam-3048	58	22	order	order	NOUN
ejpam-3048	58	23	α	α	X
ejpam-3048	58	24	>	>	X
ejpam-3048	58	25	0	0	PROPN
ejpam-3048	58	26	.	.	PUNCT
ejpam-3048	59	1	definition	definition	NOUN
ejpam-3048	59	2	6	6	NUM
ejpam-3048	59	3	.	.	PUNCT
ejpam-3048	60	1	let	let	VERB
ejpam-3048	60	2	α	α	PRON
ejpam-3048	60	3	∈	∈	PROPN
ejpam-3048	60	4	(	(	PUNCT
ejpam-3048	60	5	n	n	X
ejpam-3048	60	6	,	,	PUNCT
ejpam-3048	60	7	n	n	PROPN
ejpam-3048	60	8	+	+	NOUN
ejpam-3048	60	9	1	1	NUM
ejpam-3048	60	10	]	]	PUNCT
ejpam-3048	60	11	and	and	CCONJ
ejpam-3048	60	12	set	set	VERB
ejpam-3048	60	13	β	β	X
ejpam-3048	60	14	=	=	PUNCT
ejpam-3048	60	15	α	α	PROPN
ejpam-3048	60	16	−	−	NOUN
ejpam-3048	60	17	n	n	CCONJ
ejpam-3048	60	18	,	,	PUNCT
ejpam-3048	60	19	then	then	ADV
ejpam-3048	60	20	the	the	DET
ejpam-3048	60	21	left	left	ADJ
ejpam-3048	60	22	conformable	conformable	ADJ
ejpam-3048	60	23	fractional	fractional	ADJ
ejpam-3048	60	24	integral	integral	ADJ
ejpam-3048	60	25	starting	starting	NOUN
ejpam-3048	60	26	at	at	ADP
ejpam-3048	60	27	a	a	PRON
ejpam-3048	60	28	is	be	AUX
ejpam-3048	60	29	defined	define	VERB
ejpam-3048	60	30	by	by	ADP
ejpam-3048	60	31	(	(	PUNCT
ejpam-3048	60	32	iaαf	iaαf	PROPN
ejpam-3048	60	33	)	)	PUNCT
ejpam-3048	60	34	(	(	PUNCT
ejpam-3048	60	35	t	t	NOUN
ejpam-3048	60	36	)	)	PUNCT
ejpam-3048	60	37	=	=	SYM
ejpam-3048	61	1	1	1	NUM
ejpam-3048	61	2	n	n	NUM
ejpam-3048	61	3	!	!	PUNCT
ejpam-3048	62	1	∫	∫	PROPN
ejpam-3048	62	2	t	t	PROPN
ejpam-3048	62	3	a	a	PRON
ejpam-3048	62	4	(	(	PUNCT
ejpam-3048	62	5	t−	t−	PROPN
ejpam-3048	62	6	x)n(x−	x)n(x−	PROPN
ejpam-3048	62	7	a)β−1f(x)dx	a)β−1f(x)dx	PROPN
ejpam-3048	62	8	.	.	PUNCT
ejpam-3048	63	1	analogously	analogously	ADV
ejpam-3048	63	2	,	,	PUNCT
ejpam-3048	63	3	the	the	DET
ejpam-3048	63	4	right	right	ADJ
ejpam-3048	63	5	conformable	conformable	ADJ
ejpam-3048	63	6	fractional	fractional	ADJ
ejpam-3048	63	7	integral	integral	ADJ
ejpam-3048	63	8	is	be	AUX
ejpam-3048	63	9	defined	define	VERB
ejpam-3048	63	10	by	by	ADP
ejpam-3048	63	11	(	(	PUNCT
ejpam-3048	63	12	biαf	biαf	NOUN
ejpam-3048	63	13	)	)	PUNCT
ejpam-3048	63	14	(	(	PUNCT
ejpam-3048	63	15	t	t	NOUN
ejpam-3048	63	16	)	)	PUNCT
ejpam-3048	63	17	=	=	SYM
ejpam-3048	64	1	1	1	NUM
ejpam-3048	64	2	n	n	NUM
ejpam-3048	64	3	!	!	PUNCT
ejpam-3048	64	4	∫	∫	PROPN
ejpam-3048	65	1	b	b	PROPN
ejpam-3048	65	2	t	t	PROPN
ejpam-3048	65	3	(	(	PUNCT
ejpam-3048	65	4	x−	x−	PROPN
ejpam-3048	65	5	t)n(b−	t)n(b−	PROPN
ejpam-3048	65	6	x)β−1f(x)dx	x)β−1f(x)dx	NOUN
ejpam-3048	65	7	.	.	PUNCT
ejpam-3048	66	1	notice	notice	VERB
ejpam-3048	66	2	that	that	SCONJ
ejpam-3048	66	3	if	if	SCONJ
ejpam-3048	66	4	α	α	NUM
ejpam-3048	66	5	=	=	SYM
ejpam-3048	66	6	n+	n+	NUM
ejpam-3048	66	7	1	1	NUM
ejpam-3048	66	8	,	,	PUNCT
ejpam-3048	66	9	then	then	ADV
ejpam-3048	66	10	β	β	X
ejpam-3048	66	11	=	=	SYM
ejpam-3048	66	12	α−n	α−n	X
ejpam-3048	66	13	=	=	SYM
ejpam-3048	66	14	n+	n+	SYM
ejpam-3048	66	15	1−n	1−n	NUM
ejpam-3048	66	16	=	=	SYM
ejpam-3048	66	17	1	1	NUM
ejpam-3048	66	18	,	,	PUNCT
ejpam-3048	66	19	where	where	SCONJ
ejpam-3048	66	20	n	n	NOUN
ejpam-3048	66	21	=	=	SYM
ejpam-3048	66	22	0	0	NUM
ejpam-3048	66	23	,	,	PUNCT
ejpam-3048	66	24	1	1	NUM
ejpam-3048	66	25	,	,	PUNCT
ejpam-3048	66	26	2	2	NUM
ejpam-3048	66	27	,	,	PUNCT
ejpam-3048	66	28	.	.	PUNCT
ejpam-3048	66	29	.	.	PUNCT
ejpam-3048	67	1	.	.	PUNCT
ejpam-3048	68	1	,	,	PUNCT
ejpam-3048	68	2	and	and	CCONJ
ejpam-3048	68	3	hence	hence	ADV
ejpam-3048	68	4	(	(	PUNCT
ejpam-3048	68	5	iaαf	iaαf	PROPN
ejpam-3048	68	6	)	)	PUNCT
ejpam-3048	68	7	(	(	PUNCT
ejpam-3048	68	8	t	t	NOUN
ejpam-3048	68	9	)	)	PUNCT
ejpam-3048	68	10	=	=	SYM
ejpam-3048	68	11	(	(	PUNCT
ejpam-3048	68	12	jan+1f	jan+1f	NOUN
ejpam-3048	68	13	)	)	PUNCT
ejpam-3048	68	14	(	(	PUNCT
ejpam-3048	68	15	t	t	NOUN
ejpam-3048	68	16	)	)	PUNCT
ejpam-3048	68	17	.	.	PUNCT
ejpam-3048	69	1	in	in	ADP
ejpam-3048	69	2	(	(	PUNCT
ejpam-3048	69	3	see	see	VERB
ejpam-3048	69	4	[	[	X
ejpam-3048	69	5	7	7	NUM
ejpam-3048	69	6	]	]	NUM
ejpam-3048	69	7	)	)	PUNCT
ejpam-3048	69	8	,	,	PUNCT
ejpam-3048	69	9	set	set	VERB
ejpam-3048	69	10	et	et	PROPN
ejpam-3048	69	11	al	al	PROPN
ejpam-3048	69	12	.	.	PROPN
ejpam-3048	69	13	established	establish	VERB
ejpam-3048	69	14	a	a	DET
ejpam-3048	69	15	generalization	generalization	NOUN
ejpam-3048	69	16	of	of	ADP
ejpam-3048	69	17	hermite	hermite	PROPN
ejpam-3048	69	18	-	-	PUNCT
ejpam-3048	69	19	hadamard	hadamard	ADJ
ejpam-3048	69	20	type	type	NOUN
ejpam-3048	69	21	inequality	inequality	NOUN
ejpam-3048	69	22	for	for	ADP
ejpam-3048	69	23	s	s	NOUN
ejpam-3048	69	24	-	-	PUNCT
ejpam-3048	69	25	convex	convex	NOUN
ejpam-3048	69	26	functions	function	NOUN
ejpam-3048	69	27	and	and	CCONJ
ejpam-3048	69	28	gave	give	VERB
ejpam-3048	69	29	some	some	DET
ejpam-3048	69	30	remarks	remark	NOUN
ejpam-3048	69	31	to	to	PART
ejpam-3048	69	32	show	show	VERB
ejpam-3048	69	33	the	the	DET
ejpam-3048	69	34	relationships	relationship	NOUN
ejpam-3048	69	35	with	with	ADP
ejpam-3048	69	36	the	the	DET
ejpam-3048	69	37	classical	classical	ADJ
ejpam-3048	69	38	and	and	CCONJ
ejpam-3048	69	39	riemann	riemann	PROPN
ejpam-3048	69	40	-	-	PUNCT
ejpam-3048	69	41	liouville	liouville	VERB
ejpam-3048	69	42	fractional	fractional	ADJ
ejpam-3048	69	43	integrals	integral	NOUN
ejpam-3048	69	44	inequality	inequality	NOUN
ejpam-3048	69	45	by	by	ADP
ejpam-3048	69	46	using	use	VERB
ejpam-3048	69	47	the	the	DET
ejpam-3048	69	48	given	give	VERB
ejpam-3048	69	49	properties	property	NOUN
ejpam-3048	69	50	of	of	ADP
ejpam-3048	69	51	conformable	conformable	ADJ
ejpam-3048	69	52	fractional	fractional	ADJ
ejpam-3048	69	53	integrals	integral	NOUN
ejpam-3048	69	54	.	.	PUNCT
ejpam-3048	70	1	theorem	theorem	NOUN
ejpam-3048	70	2	2	2	NUM
ejpam-3048	70	3	.	.	PUNCT
ejpam-3048	71	1	let	let	VERB
ejpam-3048	71	2	f	f	NOUN
ejpam-3048	71	3	:	:	PUNCT
ejpam-3048	72	1	[	[	X
ejpam-3048	72	2	a	a	X
ejpam-3048	72	3	,	,	PUNCT
ejpam-3048	72	4	b	b	NOUN
ejpam-3048	72	5	]	]	X
ejpam-3048	72	6	−→	−→	NOUN
ejpam-3048	72	7	r	r	NOUN
ejpam-3048	72	8	be	be	VERB
ejpam-3048	72	9	a	a	DET
ejpam-3048	72	10	function	function	NOUN
ejpam-3048	72	11	with	with	ADP
ejpam-3048	72	12	0	0	NUM
ejpam-3048	72	13	≤	≤	NOUN
ejpam-3048	72	14	a	a	DET
ejpam-3048	72	15	<	<	X
ejpam-3048	72	16	b	b	PROPN
ejpam-3048	72	17	,	,	PUNCT
ejpam-3048	72	18	s	s	NOUN
ejpam-3048	72	19	∈	∈	PROPN
ejpam-3048	72	20	(	(	PUNCT
ejpam-3048	72	21	0	0	NUM
ejpam-3048	72	22	,	,	PUNCT
ejpam-3048	72	23	1	1	NUM
ejpam-3048	72	24	]	]	PUNCT
ejpam-3048	72	25	,	,	PUNCT
ejpam-3048	72	26	and	and	CCONJ
ejpam-3048	72	27	f	f	PROPN
ejpam-3048	72	28	∈	∈	PROPN
ejpam-3048	72	29	l1[a	l1[a	NOUN
ejpam-3048	72	30	,	,	PUNCT
ejpam-3048	72	31	b	b	NOUN
ejpam-3048	72	32	]	]	X
ejpam-3048	72	33	.	.	PUNCT
ejpam-3048	73	1	if	if	SCONJ
ejpam-3048	73	2	f	f	PROPN
ejpam-3048	73	3	is	be	AUX
ejpam-3048	73	4	a	a	DET
ejpam-3048	73	5	convex	convex	ADJ
ejpam-3048	73	6	function	function	NOUN
ejpam-3048	73	7	on	on	ADP
ejpam-3048	73	8	[	[	X
ejpam-3048	73	9	a	a	X
ejpam-3048	73	10	,	,	PUNCT
ejpam-3048	73	11	b	b	NOUN
ejpam-3048	73	12	]	]	X
ejpam-3048	73	13	,	,	PUNCT
ejpam-3048	73	14	then	then	ADV
ejpam-3048	73	15	the	the	DET
ejpam-3048	73	16	following	follow	VERB
ejpam-3048	73	17	inequalities	inequality	NOUN
ejpam-3048	73	18	for	for	ADP
ejpam-3048	73	19	conformable	conformable	ADJ
ejpam-3048	73	20	fractional	fractional	ADJ
ejpam-3048	73	21	integrals	integral	NOUN
ejpam-3048	73	22	hold	hold	VERB
ejpam-3048	73	23	γ(α−	γ(α−	NOUN
ejpam-3048	73	24	n	n	CCONJ
ejpam-3048	73	25	)	)	PUNCT
ejpam-3048	73	26	γ(α+	γ(α+	DET
ejpam-3048	73	27	1	1	NUM
ejpam-3048	73	28	)	)	PUNCT
ejpam-3048	73	29	f	f	NOUN
ejpam-3048	73	30	(	(	PUNCT
ejpam-3048	73	31	a+	a+	PUNCT
ejpam-3048	73	32	b	b	PROPN
ejpam-3048	73	33	2	2	X
ejpam-3048	73	34	)	)	PUNCT
ejpam-3048	73	35	≤	≤	NOUN
ejpam-3048	73	36	1	1	NUM
ejpam-3048	73	37	(	(	PUNCT
ejpam-3048	73	38	b−	b−	NOUN
ejpam-3048	73	39	a)α2s	a)α2s	NOUN
ejpam-3048	73	40	[	[	PUNCT
ejpam-3048	73	41	(	(	PUNCT
ejpam-3048	73	42	iaαf	iaαf	PROPN
ejpam-3048	73	43	)	)	PUNCT
ejpam-3048	73	44	(	(	PUNCT
ejpam-3048	73	45	b	b	X
ejpam-3048	73	46	)	)	PUNCT
ejpam-3048	73	47	+	+	CCONJ
ejpam-3048	73	48	(	(	PUNCT
ejpam-3048	73	49	biαf	biαf	NOUN
ejpam-3048	73	50	)	)	PUNCT
ejpam-3048	73	51	(	(	PUNCT
ejpam-3048	73	52	a	a	X
ejpam-3048	73	53	)	)	PUNCT
ejpam-3048	73	54	]	]	PUNCT
ejpam-3048	73	55	≤	≤	NOUN
ejpam-3048	73	56	[	[	PUNCT
ejpam-3048	73	57	β(n+	β(n+	NUM
ejpam-3048	73	58	s+	s+	NUM
ejpam-3048	73	59	1	1	NUM
ejpam-3048	73	60	,	,	PUNCT
ejpam-3048	73	61	α−	α−	ADP
ejpam-3048	73	62	n	n	CCONJ
ejpam-3048	73	63	)	)	PUNCT
ejpam-3048	74	1	+	+	CCONJ
ejpam-3048	74	2	β(n+	β(n+	SYM
ejpam-3048	74	3	1	1	NUM
ejpam-3048	74	4	,	,	PUNCT
ejpam-3048	74	5	α−	α−	ADP
ejpam-3048	74	6	n+	n+	NUM
ejpam-3048	74	7	s	s	X
ejpam-3048	74	8	)	)	PUNCT
ejpam-3048	74	9	n	n	CCONJ
ejpam-3048	74	10	!	!	PUNCT
ejpam-3048	74	11	]	]	PUNCT
ejpam-3048	75	1	f(a	f(a	NOUN
ejpam-3048	75	2	)	)	PUNCT
ejpam-3048	76	1	+	+	CCONJ
ejpam-3048	76	2	f(b	f(b	X
ejpam-3048	76	3	)	)	PUNCT
ejpam-3048	76	4	2s	2s	NOUN
ejpam-3048	76	5	,	,	PUNCT
ejpam-3048	76	6	with	with	ADP
ejpam-3048	76	7	α	α	DET
ejpam-3048	76	8	∈	∈	PROPN
ejpam-3048	76	9	(	(	PUNCT
ejpam-3048	76	10	n	n	CCONJ
ejpam-3048	76	11	,	,	PUNCT
ejpam-3048	76	12	n+	n+	ADP
ejpam-3048	76	13	1	1	NUM
ejpam-3048	76	14	]	]	PUNCT
ejpam-3048	76	15	,	,	PUNCT
ejpam-3048	76	16	n	n	PROPN
ejpam-3048	76	17	∈	∈	PROPN
ejpam-3048	76	18	n	n	CCONJ
ejpam-3048	76	19	,	,	PUNCT
ejpam-3048	76	20	n	n	NOUN
ejpam-3048	76	21	=	=	SYM
ejpam-3048	76	22	0	0	NUM
ejpam-3048	76	23	,	,	PUNCT
ejpam-3048	76	24	1	1	NUM
ejpam-3048	76	25	,	,	PUNCT
ejpam-3048	76	26	2	2	NUM
ejpam-3048	76	27	,	,	PUNCT
ejpam-3048	76	28	.	.	PUNCT
ejpam-3048	76	29	.	.	PUNCT
ejpam-3048	77	1	.	.	PUNCT
ejpam-3048	78	1	,	,	PUNCT
ejpam-3048	78	2	where	where	SCONJ
ejpam-3048	78	3	γ	γ	PROPN
ejpam-3048	78	4	is	be	AUX
ejpam-3048	78	5	euler	euler	NOUN
ejpam-3048	78	6	gamma	gamma	PROPN
ejpam-3048	78	7	function	function	PROPN
ejpam-3048	78	8	.	.	PUNCT
ejpam-3048	79	1	also	also	ADV
ejpam-3048	79	2	set	set	VERB
ejpam-3048	79	3	et	et	PROPN
ejpam-3048	79	4	al	al	PROPN
ejpam-3048	79	5	.	.	PROPN
ejpam-3048	79	6	established	establish	VERB
ejpam-3048	79	7	some	some	DET
ejpam-3048	79	8	results	result	NOUN
ejpam-3048	79	9	for	for	ADP
ejpam-3048	79	10	some	some	DET
ejpam-3048	79	11	kind	kind	NOUN
ejpam-3048	79	12	of	of	ADP
ejpam-3048	79	13	inequalities	inequality	NOUN
ejpam-3048	79	14	via	via	ADP
ejpam-3048	79	15	conformable	conformable	ADJ
ejpam-3048	79	16	fractional	fractional	ADJ
ejpam-3048	79	17	integrals	integral	NOUN
ejpam-3048	79	18	(	(	PUNCT
ejpam-3048	79	19	see	see	VERB
ejpam-3048	79	20	[	[	X
ejpam-3048	79	21	8]-[11	8]-[11	NUM
ejpam-3048	79	22	]	]	PUNCT
ejpam-3048	79	23	)	)	PUNCT
ejpam-3048	79	24	.	.	PUNCT
ejpam-3048	80	1	due	due	ADP
ejpam-3048	80	2	to	to	ADP
ejpam-3048	80	3	the	the	DET
ejpam-3048	80	4	wide	wide	ADJ
ejpam-3048	80	5	application	application	NOUN
ejpam-3048	80	6	of	of	ADP
ejpam-3048	80	7	fractional	fractional	ADJ
ejpam-3048	80	8	integrals	integral	NOUN
ejpam-3048	80	9	,	,	PUNCT
ejpam-3048	80	10	some	some	DET
ejpam-3048	80	11	authors	author	NOUN
ejpam-3048	80	12	extended	extend	VERB
ejpam-3048	80	13	to	to	PART
ejpam-3048	80	14	study	study	VERB
ejpam-3048	80	15	fractional	fractional	ADJ
ejpam-3048	80	16	hermite	hermite	PROPN
ejpam-3048	80	17	-	-	PUNCT
ejpam-3048	80	18	hadamard	hadamard	ADJ
ejpam-3048	80	19	type	type	NOUN
ejpam-3048	80	20	inequalities	inequality	NOUN
ejpam-3048	80	21	for	for	ADP
ejpam-3048	80	22	functions	function	NOUN
ejpam-3048	80	23	of	of	ADP
ejpam-3048	80	24	different	different	ADJ
ejpam-3048	80	25	classes	class	NOUN
ejpam-3048	80	26	(	(	PUNCT
ejpam-3048	80	27	see	see	VERB
ejpam-3048	80	28	[	[	X
ejpam-3048	80	29	15]-[31	15]-[31	PROPN
ejpam-3048	80	30	]	]	NUM
ejpam-3048	80	31	)	)	PUNCT
ejpam-3048	80	32	.	.	PUNCT
ejpam-3048	81	1	now	now	ADV
ejpam-3048	81	2	,	,	PUNCT
ejpam-3048	81	3	let	let	VERB
ejpam-3048	81	4	us	we	PRON
ejpam-3048	81	5	evoke	evoke	VERB
ejpam-3048	81	6	some	some	DET
ejpam-3048	81	7	definitions	definition	NOUN
ejpam-3048	81	8	.	.	PUNCT
ejpam-3048	82	1	a.	a.	NOUN
ejpam-3048	82	2	fundo	fundo	PROPN
ejpam-3048	82	3	,	,	PUNCT
ejpam-3048	82	4	a.	a.	NOUN
ejpam-3048	82	5	kashuri	kashuri	PROPN
ejpam-3048	82	6	,	,	PUNCT
ejpam-3048	82	7	m.	m.	NOUN
ejpam-3048	82	8	ramosaço	ramosaço	PROPN
ejpam-3048	82	9	,	,	PUNCT
ejpam-3048	82	10	r.	r.	PROPN
ejpam-3048	82	11	liko	liko	PROPN
ejpam-3048	82	12	/	/	SYM
ejpam-3048	82	13	eur	eur	PROPN
ejpam-3048	82	14	.	.	PUNCT
ejpam-3048	83	1	j.	j.	PROPN
ejpam-3048	83	2	pure	pure	PROPN
ejpam-3048	83	3	appl	appl	PROPN
ejpam-3048	83	4	.	.	PROPN
ejpam-3048	83	5	math	math	PROPN
ejpam-3048	83	6	,	,	PUNCT
ejpam-3048	83	7	10	10	NUM
ejpam-3048	83	8	(	(	PUNCT
ejpam-3048	83	9	4	4	NUM
ejpam-3048	83	10	)	)	PUNCT
ejpam-3048	83	11	(	(	PUNCT
ejpam-3048	83	12	2017	2017	NUM
ejpam-3048	83	13	)	)	PUNCT
ejpam-3048	83	14	,	,	PUNCT
ejpam-3048	83	15	809	809	NUM
ejpam-3048	83	16	-	-	SYM
ejpam-3048	83	17	834	834	NUM
ejpam-3048	83	18	812	812	NUM
ejpam-3048	83	19	definition	definition	NOUN
ejpam-3048	83	20	7	7	NUM
ejpam-3048	83	21	.	.	PUNCT
ejpam-3048	84	1	(	(	PUNCT
ejpam-3048	84	2	see	see	VERB
ejpam-3048	84	3	[	[	X
ejpam-3048	84	4	4	4	NUM
ejpam-3048	84	5	]	]	PUNCT
ejpam-3048	84	6	)	)	PUNCT
ejpam-3048	84	7	a	a	DET
ejpam-3048	84	8	nonnegative	nonnegative	ADJ
ejpam-3048	84	9	function	function	NOUN
ejpam-3048	84	10	f	f	NOUN
ejpam-3048	84	11	:	:	PUNCT
ejpam-3048	84	12	i	i	PRON
ejpam-3048	84	13	⊆	⊆	NUM
ejpam-3048	84	14	r	r	NOUN
ejpam-3048	84	15	−→	−→	NOUN
ejpam-3048	84	16	[	[	X
ejpam-3048	84	17	0,+∞	0,+∞	NUM
ejpam-3048	84	18	)	)	PUNCT
ejpam-3048	84	19	is	be	AUX
ejpam-3048	84	20	said	say	VERB
ejpam-3048	84	21	to	to	PART
ejpam-3048	84	22	be	be	AUX
ejpam-3048	84	23	p	p	NOUN
ejpam-3048	84	24	-function	-function	NOUN
ejpam-3048	84	25	or	or	CCONJ
ejpam-3048	84	26	p	p	NOUN
ejpam-3048	84	27	-convex	-convex	NOUN
ejpam-3048	84	28	,	,	PUNCT
ejpam-3048	84	29	if	if	SCONJ
ejpam-3048	84	30	f(tx+	f(tx+	ADJ
ejpam-3048	84	31	(	(	PUNCT
ejpam-3048	84	32	1−	1−	NUM
ejpam-3048	84	33	t)y	t)y	ADJ
ejpam-3048	84	34	)	)	PUNCT
ejpam-3048	84	35	≤	≤	NUM
ejpam-3048	84	36	f(x	f(x	PROPN
ejpam-3048	84	37	)	)	PUNCT
ejpam-3048	85	1	+	+	SYM
ejpam-3048	85	2	f(y	f(y	NOUN
ejpam-3048	85	3	)	)	PUNCT
ejpam-3048	85	4	,	,	PUNCT
ejpam-3048	85	5	∀x	∀x	X
ejpam-3048	85	6	,	,	PUNCT
ejpam-3048	85	7	y	y	PROPN
ejpam-3048	85	8	∈	∈	PROPN
ejpam-3048	86	1	i	i	PROPN
ejpam-3048	86	2	,	,	PUNCT
ejpam-3048	86	3	t	t	PROPN
ejpam-3048	86	4	∈	∈	PROPN
ejpam-3048	87	1	[	[	X
ejpam-3048	87	2	0	0	NUM
ejpam-3048	87	3	,	,	PUNCT
ejpam-3048	87	4	1	1	NUM
ejpam-3048	87	5	]	]	PUNCT
ejpam-3048	87	6	.	.	PUNCT
ejpam-3048	88	1	definition	definition	NOUN
ejpam-3048	88	2	8	8	NUM
ejpam-3048	88	3	.	.	PUNCT
ejpam-3048	89	1	(	(	PUNCT
ejpam-3048	89	2	see	see	VERB
ejpam-3048	89	3	[	[	X
ejpam-3048	89	4	14	14	NUM
ejpam-3048	89	5	]	]	SYM
ejpam-3048	89	6	)	)	PUNCT
ejpam-3048	89	7	a	a	DET
ejpam-3048	89	8	set	set	NOUN
ejpam-3048	89	9	k	k	PROPN
ejpam-3048	89	10	⊆	⊆	NUM
ejpam-3048	89	11	rn	rn	PROPN
ejpam-3048	89	12	is	be	AUX
ejpam-3048	89	13	said	say	VERB
ejpam-3048	89	14	to	to	PART
ejpam-3048	89	15	be	be	AUX
ejpam-3048	89	16	invex	invex	NOUN
ejpam-3048	89	17	with	with	ADP
ejpam-3048	89	18	respect	respect	NOUN
ejpam-3048	89	19	to	to	ADP
ejpam-3048	89	20	the	the	DET
ejpam-3048	89	21	mapping	mapping	NOUN
ejpam-3048	89	22	η	η	NOUN
ejpam-3048	89	23	:	:	PUNCT
ejpam-3048	90	1	k	k	PROPN
ejpam-3048	90	2	×k	×k	PROPN
ejpam-3048	90	3	−→	−→	PROPN
ejpam-3048	90	4	rn	rn	PROPN
ejpam-3048	90	5	,	,	PUNCT
ejpam-3048	90	6	if	if	SCONJ
ejpam-3048	90	7	x+	x+	ADJ
ejpam-3048	90	8	tη(y	tη(y	NOUN
ejpam-3048	90	9	,	,	PUNCT
ejpam-3048	90	10	x	x	X
ejpam-3048	90	11	)	)	PUNCT
ejpam-3048	90	12	∈	∈	PROPN
ejpam-3048	90	13	k	k	PROPN
ejpam-3048	90	14	for	for	ADP
ejpam-3048	90	15	every	every	DET
ejpam-3048	90	16	x	x	NOUN
ejpam-3048	90	17	,	,	PUNCT
ejpam-3048	90	18	y	y	PROPN
ejpam-3048	90	19	∈	∈	PROPN
ejpam-3048	90	20	k	k	PROPN
ejpam-3048	90	21	and	and	CCONJ
ejpam-3048	90	22	t	t	PROPN
ejpam-3048	90	23	∈	∈	PROPN
ejpam-3048	91	1	[	[	X
ejpam-3048	91	2	0	0	NUM
ejpam-3048	91	3	,	,	PUNCT
ejpam-3048	91	4	1	1	NUM
ejpam-3048	91	5	]	]	PUNCT
ejpam-3048	91	6	.	.	PUNCT
ejpam-3048	92	1	notice	notice	VERB
ejpam-3048	92	2	that	that	SCONJ
ejpam-3048	92	3	every	every	DET
ejpam-3048	92	4	convex	convex	NOUN
ejpam-3048	92	5	set	set	VERB
ejpam-3048	92	6	is	be	AUX
ejpam-3048	92	7	invex	invex	NOUN
ejpam-3048	92	8	with	with	ADP
ejpam-3048	92	9	respect	respect	NOUN
ejpam-3048	92	10	to	to	ADP
ejpam-3048	92	11	the	the	DET
ejpam-3048	92	12	mapping	mapping	NOUN
ejpam-3048	92	13	η(y	η(y	NOUN
ejpam-3048	92	14	,	,	PUNCT
ejpam-3048	92	15	x	x	X
ejpam-3048	92	16	)	)	PUNCT
ejpam-3048	93	1	=	=	SYM
ejpam-3048	93	2	y−	y−	X
ejpam-3048	93	3	x	x	NOUN
ejpam-3048	93	4	,	,	PUNCT
ejpam-3048	93	5	but	but	CCONJ
ejpam-3048	93	6	the	the	DET
ejpam-3048	93	7	converse	converse	NOUN
ejpam-3048	93	8	is	be	AUX
ejpam-3048	93	9	not	not	PART
ejpam-3048	93	10	necessarily	necessarily	ADV
ejpam-3048	93	11	true	true	ADJ
ejpam-3048	93	12	.	.	PUNCT
ejpam-3048	94	1	for	for	ADP
ejpam-3048	94	2	more	more	ADJ
ejpam-3048	94	3	details	detail	NOUN
ejpam-3048	94	4	(	(	PUNCT
ejpam-3048	94	5	see	see	VERB
ejpam-3048	94	6	[	[	X
ejpam-3048	94	7	14],[16	14],[16	PROPN
ejpam-3048	94	8	]	]	X
ejpam-3048	94	9	)	)	PUNCT
ejpam-3048	94	10	.	.	PUNCT
ejpam-3048	95	1	definition	definition	NOUN
ejpam-3048	95	2	9	9	NUM
ejpam-3048	95	3	.	.	PUNCT
ejpam-3048	96	1	(	(	PUNCT
ejpam-3048	96	2	see	see	VERB
ejpam-3048	96	3	[	[	X
ejpam-3048	96	4	17	17	NUM
ejpam-3048	96	5	]	]	PUNCT
ejpam-3048	96	6	)	)	PUNCT
ejpam-3048	96	7	the	the	DET
ejpam-3048	96	8	function	function	NOUN
ejpam-3048	96	9	f	f	PROPN
ejpam-3048	96	10	defined	define	VERB
ejpam-3048	96	11	on	on	ADP
ejpam-3048	96	12	the	the	DET
ejpam-3048	96	13	invex	invex	NOUN
ejpam-3048	96	14	set	set	VERB
ejpam-3048	96	15	k	k	PROPN
ejpam-3048	96	16	⊆	⊆	NUM
ejpam-3048	96	17	rn	rn	PROPN
ejpam-3048	96	18	is	be	AUX
ejpam-3048	96	19	said	say	VERB
ejpam-3048	96	20	to	to	PART
ejpam-3048	96	21	be	be	AUX
ejpam-3048	96	22	preinvex	preinvex	ADJ
ejpam-3048	96	23	with	with	ADP
ejpam-3048	96	24	respect	respect	NOUN
ejpam-3048	96	25	η	η	PROPN
ejpam-3048	96	26	,	,	PUNCT
ejpam-3048	96	27	if	if	SCONJ
ejpam-3048	96	28	for	for	ADP
ejpam-3048	96	29	every	every	DET
ejpam-3048	96	30	x	x	NOUN
ejpam-3048	96	31	,	,	PUNCT
ejpam-3048	96	32	y	y	PROPN
ejpam-3048	96	33	∈	∈	PROPN
ejpam-3048	96	34	k	k	PROPN
ejpam-3048	96	35	and	and	CCONJ
ejpam-3048	96	36	t	t	PROPN
ejpam-3048	96	37	∈	∈	PROPN
ejpam-3048	97	1	[	[	X
ejpam-3048	97	2	0	0	NUM
ejpam-3048	97	3	,	,	PUNCT
ejpam-3048	97	4	1	1	NUM
ejpam-3048	97	5	]	]	PUNCT
ejpam-3048	97	6	,	,	PUNCT
ejpam-3048	97	7	we	we	PRON
ejpam-3048	97	8	have	have	VERB
ejpam-3048	97	9	that	that	DET
ejpam-3048	97	10	f	f	PROPN
ejpam-3048	97	11	(	(	PUNCT
ejpam-3048	97	12	x+	x+	X
ejpam-3048	97	13	tη(y	tη(y	NOUN
ejpam-3048	97	14	,	,	PUNCT
ejpam-3048	97	15	x	x	NOUN
ejpam-3048	97	16	)	)	PUNCT
ejpam-3048	97	17	)	)	PUNCT
ejpam-3048	97	18	≤	≤	NOUN
ejpam-3048	97	19	(	(	PUNCT
ejpam-3048	97	20	1−	1−	NUM
ejpam-3048	97	21	t)f(x	t)f(x	NOUN
ejpam-3048	97	22	)	)	PUNCT
ejpam-3048	98	1	+	+	NUM
ejpam-3048	98	2	tf(y	tf(y	NUM
ejpam-3048	98	3	)	)	PUNCT
ejpam-3048	98	4	.	.	PUNCT
ejpam-3048	99	1	the	the	DET
ejpam-3048	99	2	concept	concept	NOUN
ejpam-3048	99	3	of	of	ADP
ejpam-3048	99	4	preinvexity	preinvexity	NOUN
ejpam-3048	99	5	is	be	AUX
ejpam-3048	99	6	more	more	ADV
ejpam-3048	99	7	general	general	ADJ
ejpam-3048	99	8	than	than	ADP
ejpam-3048	99	9	convexity	convexity	NOUN
ejpam-3048	99	10	since	since	SCONJ
ejpam-3048	99	11	every	every	DET
ejpam-3048	99	12	convex	convex	NOUN
ejpam-3048	99	13	function	function	NOUN
ejpam-3048	99	14	is	be	AUX
ejpam-3048	99	15	preinvex	preinvex	ADJ
ejpam-3048	99	16	with	with	ADP
ejpam-3048	99	17	respect	respect	NOUN
ejpam-3048	99	18	to	to	ADP
ejpam-3048	99	19	the	the	DET
ejpam-3048	99	20	mapping	mapping	NOUN
ejpam-3048	99	21	η(y	η(y	NOUN
ejpam-3048	99	22	,	,	PUNCT
ejpam-3048	99	23	x	x	X
ejpam-3048	99	24	)	)	PUNCT
ejpam-3048	99	25	=	=	SYM
ejpam-3048	100	1	y	y	PROPN
ejpam-3048	100	2	−	−	NOUN
ejpam-3048	100	3	x	x	NOUN
ejpam-3048	100	4	,	,	PUNCT
ejpam-3048	100	5	but	but	CCONJ
ejpam-3048	100	6	the	the	DET
ejpam-3048	100	7	converse	converse	NOUN
ejpam-3048	100	8	is	be	AUX
ejpam-3048	100	9	not	not	PART
ejpam-3048	100	10	true	true	ADJ
ejpam-3048	100	11	.	.	PUNCT
ejpam-3048	101	1	the	the	DET
ejpam-3048	101	2	gauss	gauss	PROPN
ejpam-3048	101	3	-	-	PUNCT
ejpam-3048	101	4	jacobi	jacobi	PROPN
ejpam-3048	101	5	type	type	NOUN
ejpam-3048	101	6	quadrature	quadrature	NOUN
ejpam-3048	101	7	formula	formula	NOUN
ejpam-3048	101	8	has	have	VERB
ejpam-3048	101	9	the	the	DET
ejpam-3048	101	10	following∫	following∫	PROPN
ejpam-3048	101	11	b	b	PROPN
ejpam-3048	101	12	a	a	PRON
ejpam-3048	101	13	(	(	PUNCT
ejpam-3048	101	14	x−	x−	PROPN
ejpam-3048	101	15	a)p(b−	a)p(b−	PROPN
ejpam-3048	101	16	x)qf(x)dx	x)qf(x)dx	X
ejpam-3048	102	1	=	=	PUNCT
ejpam-3048	103	1	+	+	ADJ
ejpam-3048	103	2	∞∑	∞∑	PRON
ejpam-3048	103	3	k=0	k=0	PROPN
ejpam-3048	103	4	bm	bm	PROPN
ejpam-3048	103	5	,	,	PUNCT
ejpam-3048	103	6	kf(γk	kf(γk	PROPN
ejpam-3048	103	7	)	)	PUNCT
ejpam-3048	104	1	+	+	NUM
ejpam-3048	104	2	r?m|f	r?m|f	PROPN
ejpam-3048	104	3	|	|	NOUN
ejpam-3048	104	4	,	,	PUNCT
ejpam-3048	104	5	(	(	PUNCT
ejpam-3048	104	6	3	3	X
ejpam-3048	104	7	)	)	PUNCT
ejpam-3048	104	8	for	for	ADP
ejpam-3048	104	9	certain	certain	ADJ
ejpam-3048	104	10	bm	bm	PROPN
ejpam-3048	104	11	,	,	PUNCT
ejpam-3048	104	12	k	k	PROPN
ejpam-3048	104	13	,	,	PUNCT
ejpam-3048	104	14	γk	γk	NOUN
ejpam-3048	104	15	and	and	CCONJ
ejpam-3048	104	16	rest	rest	VERB
ejpam-3048	104	17	r?m|f	r?m|f	PROPN
ejpam-3048	104	18	|	|	ADV
ejpam-3048	104	19	(	(	PUNCT
ejpam-3048	104	20	see	see	VERB
ejpam-3048	104	21	[	[	X
ejpam-3048	104	22	28	28	NUM
ejpam-3048	104	23	]	]	NUM
ejpam-3048	104	24	)	)	PUNCT
ejpam-3048	104	25	.	.	PUNCT
ejpam-3048	105	1	recently	recently	ADV
ejpam-3048	105	2	,	,	PUNCT
ejpam-3048	105	3	liu	liu	PROPN
ejpam-3048	105	4	(	(	PUNCT
ejpam-3048	105	5	see	see	VERB
ejpam-3048	105	6	[	[	X
ejpam-3048	105	7	29	29	NUM
ejpam-3048	105	8	]	]	PUNCT
ejpam-3048	105	9	)	)	PUNCT
ejpam-3048	105	10	obtained	obtain	VERB
ejpam-3048	105	11	several	several	ADJ
ejpam-3048	105	12	integral	integral	ADJ
ejpam-3048	105	13	inequalities	inequality	NOUN
ejpam-3048	105	14	for	for	ADP
ejpam-3048	105	15	the	the	DET
ejpam-3048	105	16	left	left	ADJ
ejpam-3048	105	17	-	-	PUNCT
ejpam-3048	105	18	hand	hand	NOUN
ejpam-3048	105	19	side	side	NOUN
ejpam-3048	105	20	of	of	ADP
ejpam-3048	105	21	(	(	PUNCT
ejpam-3048	105	22	3	3	NUM
ejpam-3048	105	23	)	)	PUNCT
ejpam-3048	105	24	under	under	ADP
ejpam-3048	105	25	the	the	DET
ejpam-3048	105	26	definition	definition	NOUN
ejpam-3048	105	27	7	7	NUM
ejpam-3048	105	28	of	of	ADP
ejpam-3048	105	29	p	p	NOUN
ejpam-3048	105	30	-function	-function	NOUN
ejpam-3048	105	31	.	.	PUNCT
ejpam-3048	106	1	also	also	ADV
ejpam-3048	106	2	in	in	AUX
ejpam-3048	106	3	(	(	PUNCT
ejpam-3048	106	4	see	see	VERB
ejpam-3048	106	5	[	[	X
ejpam-3048	106	6	30	30	NUM
ejpam-3048	106	7	]	]	NUM
ejpam-3048	106	8	)	)	PUNCT
ejpam-3048	106	9	,	,	PUNCT
ejpam-3048	106	10	özdemir	özdemir	PROPN
ejpam-3048	106	11	et	et	PROPN
ejpam-3048	106	12	al	al	PROPN
ejpam-3048	106	13	.	.	PROPN
ejpam-3048	106	14	established	establish	VERB
ejpam-3048	106	15	several	several	ADJ
ejpam-3048	106	16	integral	integral	ADJ
ejpam-3048	106	17	inequalities	inequality	NOUN
ejpam-3048	106	18	concerning	concern	VERB
ejpam-3048	106	19	the	the	DET
ejpam-3048	106	20	left	left	ADJ
ejpam-3048	106	21	-	-	PUNCT
ejpam-3048	106	22	hand	hand	NOUN
ejpam-3048	106	23	side	side	NOUN
ejpam-3048	106	24	of	of	ADP
ejpam-3048	106	25	(	(	PUNCT
ejpam-3048	106	26	3	3	NUM
ejpam-3048	106	27	)	)	PUNCT
ejpam-3048	106	28	via	via	ADP
ejpam-3048	106	29	some	some	DET
ejpam-3048	106	30	kinds	kind	NOUN
ejpam-3048	106	31	of	of	ADP
ejpam-3048	106	32	convexity	convexity	NOUN
ejpam-3048	106	33	.	.	PUNCT
ejpam-3048	107	1	motivated	motivate	VERB
ejpam-3048	107	2	by	by	ADP
ejpam-3048	107	3	these	these	DET
ejpam-3048	107	4	results	result	NOUN
ejpam-3048	107	5	,	,	PUNCT
ejpam-3048	107	6	in	in	ADP
ejpam-3048	107	7	section	section	NOUN
ejpam-3048	107	8	2	2	NUM
ejpam-3048	107	9	,	,	PUNCT
ejpam-3048	107	10	the	the	DET
ejpam-3048	107	11	notion	notion	NOUN
ejpam-3048	107	12	of	of	ADP
ejpam-3048	107	13	mt(r;g	mt(r;g	PROPN
ejpam-3048	107	14	,	,	PUNCT
ejpam-3048	107	15	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	107	16	function	function	NOUN
ejpam-3048	107	17	is	be	AUX
ejpam-3048	107	18	introduced	introduce	VERB
ejpam-3048	107	19	and	and	CCONJ
ejpam-3048	107	20	some	some	DET
ejpam-3048	107	21	new	new	ADJ
ejpam-3048	107	22	integral	integral	ADJ
ejpam-3048	107	23	inequalities	inequality	NOUN
ejpam-3048	107	24	for	for	ADP
ejpam-3048	107	25	the	the	DET
ejpam-3048	107	26	left	left	ADJ
ejpam-3048	107	27	-	-	PUNCT
ejpam-3048	107	28	hand	hand	NOUN
ejpam-3048	107	29	side	side	NOUN
ejpam-3048	107	30	of	of	ADP
ejpam-3048	107	31	(	(	PUNCT
ejpam-3048	107	32	3	3	NUM
ejpam-3048	107	33	)	)	PUNCT
ejpam-3048	107	34	involving	involve	VERB
ejpam-3048	107	35	mt(r;g	mt(r;g	PROPN
ejpam-3048	107	36	,	,	PUNCT
ejpam-3048	107	37	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	107	38	functions	function	NOUN
ejpam-3048	107	39	are	be	AUX
ejpam-3048	107	40	given	give	VERB
ejpam-3048	107	41	.	.	PUNCT
ejpam-3048	108	1	in	in	ADP
ejpam-3048	108	2	section	section	NOUN
ejpam-3048	108	3	3	3	NUM
ejpam-3048	108	4	,	,	PUNCT
ejpam-3048	108	5	some	some	DET
ejpam-3048	108	6	generalizations	generalization	NOUN
ejpam-3048	108	7	of	of	ADP
ejpam-3048	108	8	hermitehadamard	hermitehadamard	NOUN
ejpam-3048	108	9	type	type	NOUN
ejpam-3048	108	10	inequalities	inequality	NOUN
ejpam-3048	108	11	for	for	ADP
ejpam-3048	108	12	mt(r;g	mt(r;g	PROPN
ejpam-3048	108	13	,	,	PUNCT
ejpam-3048	108	14	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	108	15	functions	function	NOUN
ejpam-3048	108	16	that	that	PRON
ejpam-3048	108	17	are	be	AUX
ejpam-3048	108	18	twice	twice	ADV
ejpam-3048	108	19	differentiable	differentiable	ADJ
ejpam-3048	108	20	via	via	ADP
ejpam-3048	108	21	conformable	conformable	ADJ
ejpam-3048	108	22	fractional	fractional	ADJ
ejpam-3048	108	23	integrals	integral	NOUN
ejpam-3048	108	24	are	be	AUX
ejpam-3048	108	25	given	give	VERB
ejpam-3048	108	26	.	.	PUNCT
ejpam-3048	109	1	in	in	ADP
ejpam-3048	109	2	section	section	NOUN
ejpam-3048	109	3	4	4	NUM
ejpam-3048	109	4	,	,	PUNCT
ejpam-3048	109	5	some	some	DET
ejpam-3048	109	6	applications	application	NOUN
ejpam-3048	109	7	to	to	ADP
ejpam-3048	109	8	special	special	ADJ
ejpam-3048	109	9	means	mean	NOUN
ejpam-3048	109	10	are	be	AUX
ejpam-3048	109	11	given	give	VERB
ejpam-3048	109	12	.	.	PUNCT
ejpam-3048	110	1	in	in	ADP
ejpam-3048	110	2	section	section	NOUN
ejpam-3048	110	3	5	5	NUM
ejpam-3048	110	4	,	,	PUNCT
ejpam-3048	110	5	some	some	DET
ejpam-3048	110	6	conclusions	conclusion	NOUN
ejpam-3048	110	7	and	and	CCONJ
ejpam-3048	110	8	future	future	ADJ
ejpam-3048	110	9	research	research	NOUN
ejpam-3048	110	10	are	be	AUX
ejpam-3048	110	11	given	give	VERB
ejpam-3048	110	12	.	.	PUNCT
ejpam-3048	111	1	these	these	DET
ejpam-3048	111	2	general	general	ADJ
ejpam-3048	111	3	inequalities	inequality	NOUN
ejpam-3048	111	4	give	give	VERB
ejpam-3048	111	5	us	we	PRON
ejpam-3048	111	6	some	some	DET
ejpam-3048	111	7	new	new	ADJ
ejpam-3048	111	8	estimates	estimate	NOUN
ejpam-3048	111	9	for	for	ADP
ejpam-3048	111	10	hermite	hermite	ADJ
ejpam-3048	111	11	-	-	PUNCT
ejpam-3048	111	12	hadamard	hadamard	ADJ
ejpam-3048	111	13	type	type	NOUN
ejpam-3048	111	14	conformable	conformable	ADJ
ejpam-3048	111	15	fractional	fractional	ADJ
ejpam-3048	111	16	integral	integral	ADJ
ejpam-3048	111	17	and	and	CCONJ
ejpam-3048	111	18	fractional	fractional	ADJ
ejpam-3048	111	19	integral	integral	ADJ
ejpam-3048	111	20	inequalities	inequality	NOUN
ejpam-3048	111	21	.	.	PUNCT
ejpam-3048	112	1	2	2	X
ejpam-3048	112	2	.	.	X
ejpam-3048	112	3	new	new	ADJ
ejpam-3048	112	4	integral	integral	ADJ
ejpam-3048	112	5	inequalities	inequality	NOUN
ejpam-3048	112	6	for	for	ADP
ejpam-3048	112	7	mt(r;g	mt(r;g	PROPN
ejpam-3048	112	8	,	,	PUNCT
ejpam-3048	112	9	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	112	10	functions	function	NOUN
ejpam-3048	112	11	definition	definition	NOUN
ejpam-3048	112	12	10	10	NUM
ejpam-3048	112	13	.	.	PUNCT
ejpam-3048	113	1	(	(	PUNCT
ejpam-3048	113	2	see	see	VERB
ejpam-3048	113	3	[	[	X
ejpam-3048	113	4	3	3	NUM
ejpam-3048	113	5	]	]	PUNCT
ejpam-3048	113	6	)	)	PUNCT
ejpam-3048	113	7	a	a	DET
ejpam-3048	113	8	set	set	NOUN
ejpam-3048	113	9	k	k	PROPN
ejpam-3048	113	10	⊆	⊆	NUM
ejpam-3048	113	11	rn	rn	PROPN
ejpam-3048	113	12	is	be	AUX
ejpam-3048	113	13	said	say	VERB
ejpam-3048	113	14	to	to	PART
ejpam-3048	113	15	be	be	AUX
ejpam-3048	113	16	m	m	NOUN
ejpam-3048	113	17	-	-	NOUN
ejpam-3048	113	18	invex	invex	ADJ
ejpam-3048	113	19	with	with	ADP
ejpam-3048	113	20	respect	respect	NOUN
ejpam-3048	113	21	to	to	ADP
ejpam-3048	113	22	the	the	DET
ejpam-3048	113	23	mapping	mapping	NOUN
ejpam-3048	113	24	η	η	NOUN
ejpam-3048	113	25	:	:	PUNCT
ejpam-3048	114	1	k	k	PROPN
ejpam-3048	114	2	×k	×k	PROPN
ejpam-3048	114	3	×	×	NOUN
ejpam-3048	114	4	(	(	PUNCT
ejpam-3048	114	5	0	0	NUM
ejpam-3048	114	6	,	,	PUNCT
ejpam-3048	114	7	1	1	NUM
ejpam-3048	114	8	]	]	X
ejpam-3048	114	9	−→	−→	PROPN
ejpam-3048	114	10	rn	rn	NOUN
ejpam-3048	114	11	for	for	ADP
ejpam-3048	114	12	some	some	DET
ejpam-3048	114	13	fixed	fix	VERB
ejpam-3048	114	14	m	m	VERB
ejpam-3048	114	15	∈	∈	NOUN
ejpam-3048	114	16	(	(	PUNCT
ejpam-3048	114	17	0	0	NUM
ejpam-3048	114	18	,	,	PUNCT
ejpam-3048	114	19	1	1	NUM
ejpam-3048	114	20	]	]	PUNCT
ejpam-3048	114	21	,	,	PUNCT
ejpam-3048	114	22	if	if	SCONJ
ejpam-3048	114	23	mx+	mx+	NOUN
ejpam-3048	114	24	tη(y	tη(y	NOUN
ejpam-3048	114	25	,	,	PUNCT
ejpam-3048	114	26	x	x	X
ejpam-3048	114	27	,	,	PUNCT
ejpam-3048	114	28	m	m	NOUN
ejpam-3048	114	29	)	)	PUNCT
ejpam-3048	114	30	∈	∈	PROPN
ejpam-3048	114	31	k	k	PROPN
ejpam-3048	114	32	holds	hold	VERB
ejpam-3048	114	33	for	for	ADP
ejpam-3048	114	34	each	each	DET
ejpam-3048	114	35	x	x	NOUN
ejpam-3048	114	36	,	,	PUNCT
ejpam-3048	114	37	y	y	PROPN
ejpam-3048	114	38	∈	∈	PROPN
ejpam-3048	114	39	k	k	PROPN
ejpam-3048	114	40	and	and	CCONJ
ejpam-3048	114	41	any	any	DET
ejpam-3048	114	42	t	t	NOUN
ejpam-3048	114	43	∈	∈	PROPN
ejpam-3048	115	1	[	[	X
ejpam-3048	115	2	0	0	NUM
ejpam-3048	115	3	,	,	PUNCT
ejpam-3048	115	4	1	1	NUM
ejpam-3048	115	5	]	]	PUNCT
ejpam-3048	115	6	.	.	PUNCT
ejpam-3048	116	1	a.	a.	PROPN
ejpam-3048	116	2	fundo	fundo	PROPN
ejpam-3048	116	3	,	,	PUNCT
ejpam-3048	116	4	a.	a.	NOUN
ejpam-3048	116	5	kashuri	kashuri	PROPN
ejpam-3048	116	6	,	,	PUNCT
ejpam-3048	116	7	m.	m.	NOUN
ejpam-3048	116	8	ramosaço	ramosaço	PROPN
ejpam-3048	116	9	,	,	PUNCT
ejpam-3048	116	10	r.	r.	PROPN
ejpam-3048	116	11	liko	liko	PROPN
ejpam-3048	116	12	/	/	SYM
ejpam-3048	116	13	eur	eur	PROPN
ejpam-3048	116	14	.	.	PUNCT
ejpam-3048	117	1	j.	j.	PROPN
ejpam-3048	117	2	pure	pure	PROPN
ejpam-3048	117	3	appl	appl	PROPN
ejpam-3048	117	4	.	.	PROPN
ejpam-3048	117	5	math	math	PROPN
ejpam-3048	117	6	,	,	PUNCT
ejpam-3048	117	7	10	10	NUM
ejpam-3048	117	8	(	(	PUNCT
ejpam-3048	117	9	4	4	NUM
ejpam-3048	117	10	)	)	PUNCT
ejpam-3048	117	11	(	(	PUNCT
ejpam-3048	117	12	2017	2017	NUM
ejpam-3048	117	13	)	)	PUNCT
ejpam-3048	117	14	,	,	PUNCT
ejpam-3048	117	15	809	809	NUM
ejpam-3048	117	16	-	-	SYM
ejpam-3048	117	17	834	834	NUM
ejpam-3048	117	18	813	813	NUM
ejpam-3048	117	19	remark	remark	NOUN
ejpam-3048	117	20	1	1	NUM
ejpam-3048	117	21	.	.	PUNCT
ejpam-3048	118	1	in	in	ADP
ejpam-3048	118	2	definition	definition	NOUN
ejpam-3048	118	3	10	10	NUM
ejpam-3048	118	4	,	,	PUNCT
ejpam-3048	118	5	under	under	ADP
ejpam-3048	118	6	certain	certain	ADJ
ejpam-3048	118	7	conditions	condition	NOUN
ejpam-3048	118	8	,	,	PUNCT
ejpam-3048	118	9	the	the	DET
ejpam-3048	118	10	mapping	mapping	NOUN
ejpam-3048	118	11	η(y	η(y	NOUN
ejpam-3048	118	12	,	,	PUNCT
ejpam-3048	118	13	x	x	X
ejpam-3048	118	14	,	,	PUNCT
ejpam-3048	118	15	m	m	VERB
ejpam-3048	118	16	)	)	PUNCT
ejpam-3048	118	17	could	could	AUX
ejpam-3048	118	18	reduce	reduce	VERB
ejpam-3048	118	19	to	to	ADP
ejpam-3048	118	20	η(y	η(y	NOUN
ejpam-3048	118	21	,	,	PUNCT
ejpam-3048	118	22	x	x	NOUN
ejpam-3048	118	23	)	)	PUNCT
ejpam-3048	118	24	.	.	PUNCT
ejpam-3048	119	1	for	for	ADP
ejpam-3048	119	2	example	example	NOUN
ejpam-3048	119	3	when	when	SCONJ
ejpam-3048	119	4	m	m	VERB
ejpam-3048	119	5	=	=	SYM
ejpam-3048	119	6	1	1	NUM
ejpam-3048	119	7	,	,	PUNCT
ejpam-3048	119	8	then	then	ADV
ejpam-3048	119	9	the	the	DET
ejpam-3048	119	10	m	m	NOUN
ejpam-3048	119	11	-	-	PUNCT
ejpam-3048	119	12	invex	invex	NOUN
ejpam-3048	119	13	set	set	VERB
ejpam-3048	119	14	degenerates	degenerate	NOUN
ejpam-3048	119	15	an	an	DET
ejpam-3048	119	16	invex	invex	NOUN
ejpam-3048	119	17	set	set	VERB
ejpam-3048	119	18	on	on	ADP
ejpam-3048	119	19	k.	k.	PROPN
ejpam-3048	120	1	we	we	PRON
ejpam-3048	120	2	next	next	ADV
ejpam-3048	120	3	give	give	VERB
ejpam-3048	120	4	new	new	ADJ
ejpam-3048	120	5	definition	definition	NOUN
ejpam-3048	120	6	,	,	PUNCT
ejpam-3048	120	7	to	to	PART
ejpam-3048	120	8	be	be	AUX
ejpam-3048	120	9	referred	refer	VERB
ejpam-3048	120	10	as	as	ADP
ejpam-3048	120	11	mt(r;g	mt(r;g	PROPN
ejpam-3048	120	12	,	,	PUNCT
ejpam-3048	120	13	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	120	14	function	function	NOUN
ejpam-3048	120	15	.	.	PUNCT
ejpam-3048	121	1	definition	definition	NOUN
ejpam-3048	121	2	11	11	NUM
ejpam-3048	121	3	.	.	PUNCT
ejpam-3048	122	1	let	let	VERB
ejpam-3048	122	2	k	k	PROPN
ejpam-3048	122	3	⊆	⊆	NUM
ejpam-3048	122	4	r	r	NOUN
ejpam-3048	122	5	be	be	AUX
ejpam-3048	122	6	an	an	DET
ejpam-3048	122	7	open	open	ADJ
ejpam-3048	122	8	m	m	NOUN
ejpam-3048	122	9	-	-	PUNCT
ejpam-3048	122	10	invex	invex	NOUN
ejpam-3048	122	11	set	set	VERB
ejpam-3048	122	12	with	with	ADP
ejpam-3048	122	13	respect	respect	NOUN
ejpam-3048	122	14	to	to	ADP
ejpam-3048	122	15	η	η	PROPN
ejpam-3048	122	16	:	:	PUNCT
ejpam-3048	123	1	k×k×(0	k×k×(0	PROPN
ejpam-3048	123	2	,	,	PUNCT
ejpam-3048	123	3	1	1	NUM
ejpam-3048	123	4	]	]	X
ejpam-3048	123	5	−→	−→	ADJ
ejpam-3048	123	6	r	r	NOUN
ejpam-3048	123	7	,	,	PUNCT
ejpam-3048	123	8	g	g	NOUN
ejpam-3048	123	9	:	:	PUNCT
ejpam-3048	123	10	[	[	X
ejpam-3048	123	11	0	0	NUM
ejpam-3048	123	12	,	,	PUNCT
ejpam-3048	123	13	1	1	NUM
ejpam-3048	123	14	]	]	X
ejpam-3048	123	15	−→	−→	NOUN
ejpam-3048	123	16	(	(	PUNCT
ejpam-3048	123	17	0	0	NUM
ejpam-3048	123	18	,	,	PUNCT
ejpam-3048	123	19	1	1	NUM
ejpam-3048	123	20	)	)	PUNCT
ejpam-3048	123	21	be	be	AUX
ejpam-3048	123	22	a	a	DET
ejpam-3048	123	23	differentiable	differentiable	ADJ
ejpam-3048	123	24	function	function	NOUN
ejpam-3048	123	25	and	and	CCONJ
ejpam-3048	123	26	ϕ	ϕ	NOUN
ejpam-3048	123	27	:	:	PUNCT
ejpam-3048	124	1	i	i	PRON
ejpam-3048	124	2	−→	−→	VERB
ejpam-3048	124	3	k	k	PROPN
ejpam-3048	124	4	is	be	AUX
ejpam-3048	124	5	a	a	DET
ejpam-3048	124	6	continuous	continuous	ADJ
ejpam-3048	124	7	function	function	NOUN
ejpam-3048	124	8	.	.	PUNCT
ejpam-3048	125	1	the	the	DET
ejpam-3048	125	2	function	function	NOUN
ejpam-3048	125	3	f	f	NOUN
ejpam-3048	125	4	:	:	PUNCT
ejpam-3048	125	5	k	k	X
ejpam-3048	125	6	−→	−→	NOUN
ejpam-3048	125	7	(	(	PUNCT
ejpam-3048	125	8	0,∞	0,∞	NUM
ejpam-3048	125	9	)	)	PUNCT
ejpam-3048	125	10	is	be	AUX
ejpam-3048	125	11	said	say	VERB
ejpam-3048	125	12	to	to	PART
ejpam-3048	125	13	be	be	AUX
ejpam-3048	125	14	mt(r;g	mt(r;g	ADJ
ejpam-3048	125	15	,	,	PUNCT
ejpam-3048	125	16	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	125	17	function	function	VERB
ejpam-3048	125	18	with	with	ADP
ejpam-3048	125	19	respect	respect	NOUN
ejpam-3048	125	20	to	to	ADP
ejpam-3048	125	21	η	η	PROPN
ejpam-3048	125	22	,	,	PUNCT
ejpam-3048	125	23	if	if	SCONJ
ejpam-3048	125	24	f(mϕ(y	f(mϕ(y	NUM
ejpam-3048	125	25	)	)	PUNCT
ejpam-3048	125	26	+	+	NUM
ejpam-3048	125	27	g(t)η(ϕ(x	g(t)η(ϕ(x	NOUN
ejpam-3048	125	28	)	)	PUNCT
ejpam-3048	125	29	,	,	PUNCT
ejpam-3048	125	30	ϕ(y),m	ϕ(y),m	NOUN
ejpam-3048	125	31	)	)	PUNCT
ejpam-3048	125	32	)	)	PUNCT
ejpam-3048	125	33	≤mr	≤mr	NOUN
ejpam-3048	125	34	(	(	PUNCT
ejpam-3048	125	35	f(ϕ(x	f(ϕ(x	NOUN
ejpam-3048	125	36	)	)	PUNCT
ejpam-3048	125	37	)	)	PUNCT
ejpam-3048	125	38	,	,	PUNCT
ejpam-3048	125	39	f(ϕ(y)),m	f(ϕ(y)),m	NOUN
ejpam-3048	125	40	;	;	PUNCT
ejpam-3048	125	41	g(t	g(t	PROPN
ejpam-3048	125	42	)	)	PUNCT
ejpam-3048	125	43	)	)	PUNCT
ejpam-3048	126	1	(	(	PUNCT
ejpam-3048	126	2	4	4	X
ejpam-3048	126	3	)	)	PUNCT
ejpam-3048	126	4	holds	hold	VERB
ejpam-3048	126	5	for	for	ADP
ejpam-3048	126	6	any	any	DET
ejpam-3048	126	7	fixed	fix	VERB
ejpam-3048	126	8	m	m	NOUN
ejpam-3048	126	9	∈	∈	NOUN
ejpam-3048	126	10	(	(	PUNCT
ejpam-3048	126	11	0	0	NUM
ejpam-3048	126	12	,	,	PUNCT
ejpam-3048	126	13	1	1	NUM
ejpam-3048	126	14	]	]	PUNCT
ejpam-3048	126	15	and	and	CCONJ
ejpam-3048	126	16	for	for	ADP
ejpam-3048	126	17	all	all	DET
ejpam-3048	126	18	x	x	NOUN
ejpam-3048	126	19	,	,	PUNCT
ejpam-3048	126	20	y	y	PROPN
ejpam-3048	126	21	∈	∈	PROPN
ejpam-3048	126	22	i	i	PRON
ejpam-3048	126	23	,	,	PUNCT
ejpam-3048	126	24	t	t	PROPN
ejpam-3048	126	25	∈	∈	PROPN
ejpam-3048	127	1	[	[	X
ejpam-3048	127	2	0	0	NUM
ejpam-3048	127	3	,	,	PUNCT
ejpam-3048	127	4	1	1	NUM
ejpam-3048	127	5	]	]	PUNCT
ejpam-3048	127	6	,	,	PUNCT
ejpam-3048	127	7	where	where	SCONJ
ejpam-3048	127	8	mr(f(ϕ(x	mr(f(ϕ(x	NOUN
ejpam-3048	127	9	)	)	PUNCT
ejpam-3048	127	10	)	)	PUNCT
ejpam-3048	127	11	,	,	PUNCT
ejpam-3048	127	12	f(ϕ(y)),m	f(ϕ(y)),m	NOUN
ejpam-3048	127	13	;	;	PUNCT
ejpam-3048	127	14	g(t	g(t	PROPN
ejpam-3048	127	15	)	)	PUNCT
ejpam-3048	127	16	)	)	PUNCT
ejpam-3048	128	1	=	=	SYM
ejpam-3048	128	2			X
ejpam-3048	128	3	[	[	PUNCT
ejpam-3048	128	4	m	m	NOUN
ejpam-3048	128	5	√	√	NOUN
ejpam-3048	128	6	g(t	g(t	PROPN
ejpam-3048	128	7	)	)	PUNCT
ejpam-3048	128	8	2	2	NUM
ejpam-3048	128	9	√	√	NUM
ejpam-3048	128	10	1−g(t	1−g(t	NUM
ejpam-3048	128	11	)	)	PUNCT
ejpam-3048	128	12	f	f	PROPN
ejpam-3048	128	13	r(ϕ(x	r(ϕ(x	PROPN
ejpam-3048	128	14	)	)	PUNCT
ejpam-3048	128	15	)	)	PUNCT
ejpam-3048	129	1	+	+	CCONJ
ejpam-3048	129	2	m	m	VERB
ejpam-3048	129	3	√	√	NOUN
ejpam-3048	129	4	1−g(t	1−g(t	NUM
ejpam-3048	129	5	)	)	PUNCT
ejpam-3048	129	6	2	2	NUM
ejpam-3048	129	7	√	√	NUM
ejpam-3048	129	8	g(t	g(t	PROPN
ejpam-3048	129	9	)	)	PUNCT
ejpam-3048	129	10	f	f	PROPN
ejpam-3048	130	1	r(ϕ(y	r(ϕ(y	PROPN
ejpam-3048	130	2	)	)	PUNCT
ejpam-3048	130	3	)	)	PUNCT
ejpam-3048	130	4	]	]	PUNCT
ejpam-3048	131	1	1	1	NUM
ejpam-3048	131	2	r	r	NOUN
ejpam-3048	131	3	,	,	PUNCT
ejpam-3048	131	4	if	if	SCONJ
ejpam-3048	131	5	r	r	NOUN
ejpam-3048	131	6	6=	6=	ADP
ejpam-3048	131	7	0	0	NUM
ejpam-3048	131	8	;	;	PUNCT
ejpam-3048	131	9	f(ϕ(x	f(ϕ(x	NUM
ejpam-3048	131	10	)	)	PUNCT
ejpam-3048	131	11	)	)	PUNCT
ejpam-3048	132	1	m	m	VERB
ejpam-3048	132	2	√	√	NUM
ejpam-3048	132	3	g(t	g(t	NOUN
ejpam-3048	132	4	)	)	PUNCT
ejpam-3048	132	5	2	2	NUM
ejpam-3048	132	6	√	√	NUM
ejpam-3048	132	7	1−g(t	1−g(t	NUM
ejpam-3048	132	8	)	)	PUNCT
ejpam-3048	132	9	f(ϕ(y	f(ϕ(y	PROPN
ejpam-3048	132	10	)	)	PUNCT
ejpam-3048	132	11	)	)	PUNCT
ejpam-3048	133	1	m	m	VERB
ejpam-3048	133	2	√	√	NOUN
ejpam-3048	133	3	1−g(t	1−g(t	NUM
ejpam-3048	133	4	)	)	PUNCT
ejpam-3048	133	5	2	2	NUM
ejpam-3048	133	6	√	√	NUM
ejpam-3048	133	7	g(t	g(t	PROPN
ejpam-3048	133	8	)	)	PUNCT
ejpam-3048	133	9	,	,	PUNCT
ejpam-3048	133	10	if	if	SCONJ
ejpam-3048	133	11	r	r	NOUN
ejpam-3048	133	12	=	=	SYM
ejpam-3048	133	13	0	0	NUM
ejpam-3048	133	14	,	,	PUNCT
ejpam-3048	133	15	is	be	AUX
ejpam-3048	133	16	the	the	DET
ejpam-3048	133	17	weighted	weight	VERB
ejpam-3048	133	18	power	power	NOUN
ejpam-3048	133	19	mean	mean	NOUN
ejpam-3048	133	20	of	of	ADP
ejpam-3048	133	21	order	order	NOUN
ejpam-3048	133	22	r	r	NOUN
ejpam-3048	133	23	for	for	ADP
ejpam-3048	133	24	positive	positive	ADJ
ejpam-3048	133	25	numbers	number	NOUN
ejpam-3048	133	26	f(ϕ(x	f(ϕ(x	PROPN
ejpam-3048	133	27	)	)	PUNCT
ejpam-3048	133	28	)	)	PUNCT
ejpam-3048	133	29	and	and	CCONJ
ejpam-3048	133	30	f(ϕ(y	f(ϕ(y	PROPN
ejpam-3048	133	31	)	)	PUNCT
ejpam-3048	133	32	)	)	PUNCT
ejpam-3048	133	33	.	.	PUNCT
ejpam-3048	134	1	remark	remark	NOUN
ejpam-3048	134	2	2	2	NUM
ejpam-3048	134	3	.	.	PUNCT
ejpam-3048	135	1	in	in	ADP
ejpam-3048	135	2	definition	definition	NOUN
ejpam-3048	135	3	11	11	NUM
ejpam-3048	135	4	,	,	PUNCT
ejpam-3048	135	5	it	it	PRON
ejpam-3048	135	6	is	be	AUX
ejpam-3048	135	7	worthwhile	worthwhile	ADJ
ejpam-3048	135	8	to	to	PART
ejpam-3048	135	9	note	note	VERB
ejpam-3048	135	10	that	that	SCONJ
ejpam-3048	135	11	the	the	DET
ejpam-3048	135	12	class	class	NOUN
ejpam-3048	135	13	mt(r;g	mt(r;g	PROPN
ejpam-3048	135	14	,	,	PUNCT
ejpam-3048	135	15	m,ϕ)(i	m,ϕ)(i	NUM
ejpam-3048	135	16	)	)	PUNCT
ejpam-3048	135	17	is	be	AUX
ejpam-3048	135	18	a	a	DET
ejpam-3048	135	19	generalization	generalization	NOUN
ejpam-3048	135	20	of	of	ADP
ejpam-3048	135	21	the	the	DET
ejpam-3048	135	22	class	class	NOUN
ejpam-3048	135	23	mt(i	mt(i	NUM
ejpam-3048	135	24	)	)	PUNCT
ejpam-3048	135	25	given	give	VERB
ejpam-3048	135	26	in	in	ADP
ejpam-3048	135	27	definition	definition	NOUN
ejpam-3048	135	28	1	1	NUM
ejpam-3048	135	29	for	for	ADP
ejpam-3048	135	30	r	r	NOUN
ejpam-3048	135	31	=	=	PUNCT
ejpam-3048	135	32	m	m	NOUN
ejpam-3048	135	33	=	=	NOUN
ejpam-3048	135	34	1	1	NUM
ejpam-3048	135	35	with	with	ADP
ejpam-3048	135	36	respect	respect	NOUN
ejpam-3048	135	37	to	to	ADP
ejpam-3048	135	38	η(ϕ(x	η(ϕ(x	PROPN
ejpam-3048	135	39	)	)	PUNCT
ejpam-3048	135	40	,	,	PUNCT
ejpam-3048	135	41	ϕ(y),m	ϕ(y),m	NOUN
ejpam-3048	135	42	)	)	PUNCT
ejpam-3048	135	43	=	=	PRON
ejpam-3048	135	44	ϕ(x)−mϕ(y	ϕ(x)−mϕ(y	NUM
ejpam-3048	135	45	)	)	PUNCT
ejpam-3048	135	46	,	,	PUNCT
ejpam-3048	135	47	ϕ(x	ϕ(x	X
ejpam-3048	135	48	)	)	PUNCT
ejpam-3048	135	49	=	=	SYM
ejpam-3048	136	1	x	x	NOUN
ejpam-3048	136	2	,	,	PUNCT
ejpam-3048	136	3	∀x	∀x	NUM
ejpam-3048	136	4	,	,	PUNCT
ejpam-3048	136	5	y	y	PROPN
ejpam-3048	136	6	∈	∈	PROPN
ejpam-3048	136	7	i	i	PROPN
ejpam-3048	136	8	,	,	PUNCT
ejpam-3048	136	9	g(t	g(t	PROPN
ejpam-3048	136	10	)	)	PUNCT
ejpam-3048	136	11	=	=	SYM
ejpam-3048	136	12	t	t	PROPN
ejpam-3048	136	13	,	,	PUNCT
ejpam-3048	136	14	∀t	∀t	PROPN
ejpam-3048	136	15	∈	∈	PROPN
ejpam-3048	136	16	(	(	PUNCT
ejpam-3048	136	17	0	0	NUM
ejpam-3048	136	18	,	,	PUNCT
ejpam-3048	136	19	1	1	NUM
ejpam-3048	136	20	)	)	PUNCT
ejpam-3048	136	21	.	.	PUNCT
ejpam-3048	137	1	let	let	VERB
ejpam-3048	137	2	give	give	VERB
ejpam-3048	137	3	below	below	ADP
ejpam-3048	137	4	a	a	DET
ejpam-3048	137	5	nontrivial	nontrivial	ADJ
ejpam-3048	137	6	example	example	NOUN
ejpam-3048	137	7	for	for	ADP
ejpam-3048	137	8	motivation	motivation	NOUN
ejpam-3048	137	9	of	of	ADP
ejpam-3048	137	10	this	this	DET
ejpam-3048	137	11	new	new	ADJ
ejpam-3048	137	12	interesting	interesting	ADJ
ejpam-3048	137	13	class	class	NOUN
ejpam-3048	137	14	of	of	ADP
ejpam-3048	137	15	mt(r;g	mt(r;g	PROPN
ejpam-3048	137	16	,	,	PUNCT
ejpam-3048	137	17	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	137	18	functions	function	NOUN
ejpam-3048	137	19	.	.	PUNCT
ejpam-3048	138	1	example	example	NOUN
ejpam-3048	138	2	1	1	NUM
ejpam-3048	138	3	.	.	PUNCT
ejpam-3048	138	4	f1	f1	NOUN
ejpam-3048	138	5	,	,	PUNCT
ejpam-3048	138	6	f2	f2	PROPN
ejpam-3048	138	7	:	:	PUNCT
ejpam-3048	138	8	(	(	PUNCT
ejpam-3048	138	9	1,∞	1,∞	NUM
ejpam-3048	138	10	)	)	PUNCT
ejpam-3048	139	1	−→	−→	NOUN
ejpam-3048	139	2	(	(	PUNCT
ejpam-3048	139	3	0,∞	0,∞	NUM
ejpam-3048	139	4	)	)	PUNCT
ejpam-3048	139	5	,	,	PUNCT
ejpam-3048	139	6	f1(x	f1(x	NOUN
ejpam-3048	139	7	)	)	PUNCT
ejpam-3048	139	8	=	=	SYM
ejpam-3048	139	9	xp	xp	ADJ
ejpam-3048	139	10	,	,	PUNCT
ejpam-3048	139	11	f2(x	f2(x	PROPN
ejpam-3048	139	12	)	)	PUNCT
ejpam-3048	139	13	=	=	NOUN
ejpam-3048	139	14	(	(	PUNCT
ejpam-3048	139	15	1	1	NUM
ejpam-3048	139	16	+	+	CCONJ
ejpam-3048	139	17	x)p	x)p	ADJ
ejpam-3048	139	18	,	,	PUNCT
ejpam-3048	139	19	p	p	PROPN
ejpam-3048	139	20	∈	∈	PROPN
ejpam-3048	139	21	(	(	PUNCT
ejpam-3048	139	22	0	0	NUM
ejpam-3048	139	23	,	,	PUNCT
ejpam-3048	139	24	1	1	NUM
ejpam-3048	139	25	1000	1000	NUM
ejpam-3048	139	26	)	)	PUNCT
ejpam-3048	139	27	;	;	PUNCT
ejpam-3048	139	28	h	h	NOUN
ejpam-3048	139	29	:	:	PUNCT
ejpam-3048	140	1	[	[	X
ejpam-3048	140	2	1	1	NUM
ejpam-3048	140	3	,	,	PUNCT
ejpam-3048	140	4	3/2	3/2	NUM
ejpam-3048	140	5	]	]	X
ejpam-3048	140	6	−→	−→	NOUN
ejpam-3048	140	7	(	(	PUNCT
ejpam-3048	140	8	0,∞	0,∞	NUM
ejpam-3048	140	9	)	)	PUNCT
ejpam-3048	140	10	,	,	PUNCT
ejpam-3048	140	11	h(x	h(x	PROPN
ejpam-3048	140	12	)	)	PUNCT
ejpam-3048	140	13	=	=	PUNCT
ejpam-3048	140	14	(	(	PUNCT
ejpam-3048	140	15	1+x2)k	1+x2)k	PROPN
ejpam-3048	140	16	,	,	PUNCT
ejpam-3048	140	17	k	k	PROPN
ejpam-3048	140	18	∈	∈	PROPN
ejpam-3048	140	19	(	(	PUNCT
ejpam-3048	140	20	0	0	NUM
ejpam-3048	140	21	,	,	PUNCT
ejpam-3048	140	22	1	1	NUM
ejpam-3048	140	23	100	100	NUM
ejpam-3048	140	24	)	)	PUNCT
ejpam-3048	140	25	,	,	PUNCT
ejpam-3048	140	26	are	be	AUX
ejpam-3048	140	27	simple	simple	ADJ
ejpam-3048	140	28	examples	example	NOUN
ejpam-3048	140	29	of	of	ADP
ejpam-3048	140	30	the	the	DET
ejpam-3048	140	31	new	new	ADJ
ejpam-3048	140	32	class	class	NOUN
ejpam-3048	140	33	of	of	ADP
ejpam-3048	140	34	mt(1;t	mt(1;t	PROPN
ejpam-3048	140	35	,	,	PUNCT
ejpam-3048	140	36	m	m	PROPN
ejpam-3048	140	37	,	,	PUNCT
ejpam-3048	140	38	x)-preinvex	x)-preinvex	PUNCT
ejpam-3048	140	39	functions	function	NOUN
ejpam-3048	140	40	with	with	ADP
ejpam-3048	140	41	respect	respect	NOUN
ejpam-3048	140	42	to	to	ADP
ejpam-3048	140	43	η(ϕ(x	η(ϕ(x	PROPN
ejpam-3048	140	44	)	)	PUNCT
ejpam-3048	140	45	,	,	PUNCT
ejpam-3048	140	46	ϕ(y),m	ϕ(y),m	NOUN
ejpam-3048	140	47	)	)	PUNCT
ejpam-3048	140	48	=	=	PRON
ejpam-3048	140	49	ϕ(x)−mϕ(y	ϕ(x)−mϕ(y	NUM
ejpam-3048	140	50	)	)	PUNCT
ejpam-3048	140	51	,	,	PUNCT
ejpam-3048	140	52	ϕ(x	ϕ(x	X
ejpam-3048	140	53	)	)	PUNCT
ejpam-3048	140	54	=	=	SYM
ejpam-3048	140	55	x	x	NOUN
ejpam-3048	140	56	,	,	PUNCT
ejpam-3048	140	57	g(t	g(t	PROPN
ejpam-3048	140	58	)	)	PUNCT
ejpam-3048	140	59	=	=	SYM
ejpam-3048	140	60	t	t	PROPN
ejpam-3048	140	61	,	,	PUNCT
ejpam-3048	140	62	r	r	NOUN
ejpam-3048	140	63	=	=	SYM
ejpam-3048	140	64	1	1	NUM
ejpam-3048	140	65	,	,	PUNCT
ejpam-3048	140	66	for	for	ADP
ejpam-3048	140	67	any	any	DET
ejpam-3048	140	68	fixed	fix	VERB
ejpam-3048	140	69	m	m	NOUN
ejpam-3048	140	70	∈	∈	NOUN
ejpam-3048	140	71	(	(	PUNCT
ejpam-3048	140	72	0	0	NUM
ejpam-3048	140	73	,	,	PUNCT
ejpam-3048	140	74	1	1	NUM
ejpam-3048	140	75	]	]	PUNCT
ejpam-3048	140	76	,	,	PUNCT
ejpam-3048	140	77	but	but	CCONJ
ejpam-3048	140	78	they	they	PRON
ejpam-3048	140	79	are	be	AUX
ejpam-3048	140	80	not	not	PART
ejpam-3048	140	81	convex	convex	ADJ
ejpam-3048	140	82	.	.	PUNCT
ejpam-3048	141	1	in	in	ADP
ejpam-3048	141	2	this	this	DET
ejpam-3048	141	3	section	section	NOUN
ejpam-3048	141	4	,	,	PUNCT
ejpam-3048	141	5	in	in	ADP
ejpam-3048	141	6	order	order	NOUN
ejpam-3048	141	7	to	to	PART
ejpam-3048	141	8	prove	prove	VERB
ejpam-3048	141	9	our	our	PRON
ejpam-3048	141	10	main	main	ADJ
ejpam-3048	141	11	results	result	NOUN
ejpam-3048	141	12	regarding	regard	VERB
ejpam-3048	141	13	some	some	DET
ejpam-3048	141	14	new	new	ADJ
ejpam-3048	141	15	integral	integral	ADJ
ejpam-3048	141	16	inequalities	inequality	NOUN
ejpam-3048	141	17	involving	involve	VERB
ejpam-3048	141	18	mt(r;g	mt(r;g	PROPN
ejpam-3048	141	19	,	,	PUNCT
ejpam-3048	141	20	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	141	21	functions	function	NOUN
ejpam-3048	141	22	,	,	PUNCT
ejpam-3048	141	23	we	we	PRON
ejpam-3048	141	24	need	need	VERB
ejpam-3048	141	25	the	the	DET
ejpam-3048	141	26	following	follow	VERB
ejpam-3048	141	27	new	new	ADJ
ejpam-3048	141	28	interesting	interesting	ADJ
ejpam-3048	141	29	lemma	lemma	PROPN
ejpam-3048	141	30	:	:	PUNCT
ejpam-3048	141	31	lemma	lemma	PROPN
ejpam-3048	141	32	1	1	X
ejpam-3048	141	33	.	.	PUNCT
ejpam-3048	142	1	let	let	VERB
ejpam-3048	142	2	ϕ	ϕ	NOUN
ejpam-3048	142	3	:	:	PUNCT
ejpam-3048	143	1	i	i	PRON
ejpam-3048	143	2	−→	−→	VERB
ejpam-3048	143	3	k	k	X
ejpam-3048	143	4	be	be	AUX
ejpam-3048	143	5	a	a	DET
ejpam-3048	143	6	continuous	continuous	ADJ
ejpam-3048	143	7	function	function	NOUN
ejpam-3048	143	8	and	and	CCONJ
ejpam-3048	143	9	g	g	NOUN
ejpam-3048	143	10	:	:	PUNCT
ejpam-3048	144	1	[	[	X
ejpam-3048	144	2	0	0	NUM
ejpam-3048	144	3	,	,	PUNCT
ejpam-3048	144	4	1	1	NUM
ejpam-3048	144	5	]	]	X
ejpam-3048	144	6	−→	−→	NOUN
ejpam-3048	144	7	[	[	X
ejpam-3048	144	8	0	0	NUM
ejpam-3048	144	9	,	,	PUNCT
ejpam-3048	144	10	1	1	NUM
ejpam-3048	144	11	]	]	PUNCT
ejpam-3048	144	12	is	be	AUX
ejpam-3048	144	13	a	a	DET
ejpam-3048	144	14	differentiable	differentiable	ADJ
ejpam-3048	144	15	function	function	NOUN
ejpam-3048	144	16	.	.	PUNCT
ejpam-3048	145	1	assume	assume	VERB
ejpam-3048	145	2	that	that	SCONJ
ejpam-3048	145	3	f	f	X
ejpam-3048	145	4	:	:	PUNCT
ejpam-3048	146	1	k	k	X
ejpam-3048	146	2	=	=	PUNCT
ejpam-3048	147	1	[	[	X
ejpam-3048	147	2	mϕ(a),mϕ(a	mϕ(a),mϕ(a	NOUN
ejpam-3048	147	3	)	)	PUNCT
ejpam-3048	147	4	+	+	NUM
ejpam-3048	147	5	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	147	6	)	)	PUNCT
ejpam-3048	147	7	,	,	PUNCT
ejpam-3048	147	8	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	147	9	)	)	PUNCT
ejpam-3048	147	10	]	]	PUNCT
ejpam-3048	148	1	−→	−→	NOUN
ejpam-3048	148	2	r	r	NOUN
ejpam-3048	148	3	is	be	AUX
ejpam-3048	148	4	a	a	DET
ejpam-3048	148	5	continuous	continuous	ADJ
ejpam-3048	148	6	function	function	NOUN
ejpam-3048	148	7	on	on	ADP
ejpam-3048	148	8	k	k	NOUN
ejpam-3048	148	9	◦	◦	NOUN
ejpam-3048	148	10	with	with	ADP
ejpam-3048	148	11	respect	respect	NOUN
ejpam-3048	148	12	to	to	ADP
ejpam-3048	148	13	η	η	PROPN
ejpam-3048	148	14	:	:	PUNCT
ejpam-3048	148	15	k	k	PROPN
ejpam-3048	148	16	×	×	PROPN
ejpam-3048	148	17	k	k	PROPN
ejpam-3048	148	18	×	×	PROPN
ejpam-3048	148	19	(	(	PUNCT
ejpam-3048	148	20	0	0	NUM
ejpam-3048	148	21	,	,	PUNCT
ejpam-3048	148	22	1	1	NUM
ejpam-3048	148	23	]	]	X
ejpam-3048	148	24	−→	−→	ADJ
ejpam-3048	148	25	r	r	NOUN
ejpam-3048	148	26	,	,	PUNCT
ejpam-3048	148	27	for	for	ADP
ejpam-3048	148	28	mϕ(a	mϕ(a	NOUN
ejpam-3048	148	29	)	)	PUNCT
ejpam-3048	148	30	<	<	X
ejpam-3048	148	31	mϕ(a	mϕ(a	NOUN
ejpam-3048	148	32	)	)	PUNCT
ejpam-3048	149	1	+	+	CCONJ
ejpam-3048	149	2	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	149	3	)	)	PUNCT
ejpam-3048	149	4	,	,	PUNCT
ejpam-3048	149	5	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	149	6	)	)	PUNCT
ejpam-3048	149	7	.	.	PUNCT
ejpam-3048	150	1	then	then	ADV
ejpam-3048	150	2	for	for	ADP
ejpam-3048	150	3	any	any	DET
ejpam-3048	150	4	fixed	fix	VERB
ejpam-3048	150	5	m	m	NOUN
ejpam-3048	150	6	∈	∈	NOUN
ejpam-3048	150	7	(	(	PUNCT
ejpam-3048	150	8	0	0	NUM
ejpam-3048	150	9	,	,	PUNCT
ejpam-3048	150	10	1	1	NUM
ejpam-3048	150	11	]	]	PUNCT
ejpam-3048	150	12	and	and	CCONJ
ejpam-3048	150	13	p	p	X
ejpam-3048	150	14	,	,	PUNCT
ejpam-3048	150	15	q	q	ADJ
ejpam-3048	150	16	>	>	X
ejpam-3048	150	17	0	0	NUM
ejpam-3048	150	18	,	,	PUNCT
ejpam-3048	150	19	we	we	PRON
ejpam-3048	150	20	have∫	have∫	VERB
ejpam-3048	150	21	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	SYM
ejpam-3048	150	22	)	)	PUNCT
ejpam-3048	150	23	mϕ(a	mϕ(a	NOUN
ejpam-3048	150	24	)	)	PUNCT
ejpam-3048	150	25	(	(	PUNCT
ejpam-3048	150	26	x−mϕ(a))p(mϕ(a	x−mϕ(a))p(mϕ(a	PROPN
ejpam-3048	150	27	)	)	PUNCT
ejpam-3048	151	1	+	+	CCONJ
ejpam-3048	151	2	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	151	3	)	)	PUNCT
ejpam-3048	151	4	,	,	PUNCT
ejpam-3048	151	5	ϕ(a),m)−	ϕ(a),m)−	PROPN
ejpam-3048	151	6	x)qf(x)dx	x)qf(x)dx	DET
ejpam-3048	151	7	a.	a.	NOUN
ejpam-3048	151	8	fundo	fundo	PROPN
ejpam-3048	151	9	,	,	PUNCT
ejpam-3048	151	10	a.	a.	NOUN
ejpam-3048	151	11	kashuri	kashuri	PROPN
ejpam-3048	151	12	,	,	PUNCT
ejpam-3048	151	13	m.	m.	NOUN
ejpam-3048	151	14	ramosaço	ramosaço	PROPN
ejpam-3048	151	15	,	,	PUNCT
ejpam-3048	151	16	r.	r.	PROPN
ejpam-3048	151	17	liko	liko	PROPN
ejpam-3048	151	18	/	/	SYM
ejpam-3048	151	19	eur	eur	PROPN
ejpam-3048	151	20	.	.	PUNCT
ejpam-3048	152	1	j.	j.	PROPN
ejpam-3048	152	2	pure	pure	PROPN
ejpam-3048	152	3	appl	appl	PROPN
ejpam-3048	152	4	.	.	PROPN
ejpam-3048	152	5	math	math	PROPN
ejpam-3048	152	6	,	,	PUNCT
ejpam-3048	152	7	10	10	NUM
ejpam-3048	152	8	(	(	PUNCT
ejpam-3048	152	9	4	4	NUM
ejpam-3048	152	10	)	)	PUNCT
ejpam-3048	152	11	(	(	PUNCT
ejpam-3048	152	12	2017	2017	NUM
ejpam-3048	152	13	)	)	PUNCT
ejpam-3048	152	14	,	,	PUNCT
ejpam-3048	152	15	809	809	NUM
ejpam-3048	152	16	-	-	SYM
ejpam-3048	152	17	834	834	NUM
ejpam-3048	152	18	814	814	NUM
ejpam-3048	152	19	=	=	SYM
ejpam-3048	152	20	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	152	21	)	)	PUNCT
ejpam-3048	152	22	,	,	PUNCT
ejpam-3048	152	23	ϕ(a),m)p+q+1	ϕ(a),m)p+q+1	PROPN
ejpam-3048	152	24	×	×	NOUN
ejpam-3048	152	25	∫	∫	PROPN
ejpam-3048	152	26	1	1	NUM
ejpam-3048	152	27	0	0	NUM
ejpam-3048	152	28	gp(t)(1−	gp(t)(1−	NOUN
ejpam-3048	152	29	g(t))qf(mϕ(a	g(t))qf(mϕ(a	NOUN
ejpam-3048	152	30	)	)	PUNCT
ejpam-3048	152	31	+	+	NUM
ejpam-3048	152	32	g(t)η(ϕ(b	g(t)η(ϕ(b	NUM
ejpam-3048	152	33	)	)	PUNCT
ejpam-3048	152	34	,	,	PUNCT
ejpam-3048	152	35	ϕ(a),m))d[g(t	ϕ(a),m))d[g(t	PROPN
ejpam-3048	152	36	)	)	PUNCT
ejpam-3048	152	37	]	]	PUNCT
ejpam-3048	152	38	.	.	PUNCT
ejpam-3048	153	1	proof	proof	NOUN
ejpam-3048	153	2	.	.	PUNCT
ejpam-3048	154	1	it	it	PRON
ejpam-3048	154	2	is	be	AUX
ejpam-3048	154	3	easy	easy	ADJ
ejpam-3048	154	4	to	to	PART
ejpam-3048	154	5	observe	observe	VERB
ejpam-3048	154	6	that∫	that∫	PROPN
ejpam-3048	154	7	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3048	154	8	)	)	PUNCT
ejpam-3048	154	9	mϕ(a	mϕ(a	NOUN
ejpam-3048	154	10	)	)	PUNCT
ejpam-3048	154	11	(	(	PUNCT
ejpam-3048	154	12	x−mϕ(a))p(mϕ(a	x−mϕ(a))p(mϕ(a	PROPN
ejpam-3048	154	13	)	)	PUNCT
ejpam-3048	155	1	+	+	CCONJ
ejpam-3048	155	2	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	155	3	)	)	PUNCT
ejpam-3048	155	4	,	,	PUNCT
ejpam-3048	155	5	ϕ(a),m)−	ϕ(a),m)−	VERB
ejpam-3048	155	6	x)qf(x)dx	x)qf(x)dx	PRON
ejpam-3048	156	1	=	=	PUNCT
ejpam-3048	156	2	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	156	3	)	)	PUNCT
ejpam-3048	156	4	,	,	PUNCT
ejpam-3048	156	5	ϕ(a),m	ϕ(a),m	PROPN
ejpam-3048	156	6	)	)	PUNCT
ejpam-3048	156	7	∫	∫	PROPN
ejpam-3048	157	1	1	1	NUM
ejpam-3048	157	2	0	0	NUM
ejpam-3048	157	3	(	(	PUNCT
ejpam-3048	157	4	mϕ(a	mϕ(a	NOUN
ejpam-3048	157	5	)	)	PUNCT
ejpam-3048	157	6	+	+	NUM
ejpam-3048	157	7	g(t)η(ϕ(b	g(t)η(ϕ(b	NUM
ejpam-3048	157	8	)	)	PUNCT
ejpam-3048	157	9	,	,	PUNCT
ejpam-3048	157	10	ϕ(a),m)−mϕ(a))p	ϕ(a),m)−mϕ(a))p	PROPN
ejpam-3048	157	11	×(mϕ(a	×(mϕ(a	PROPN
ejpam-3048	157	12	)	)	PUNCT
ejpam-3048	158	1	+	+	CCONJ
ejpam-3048	158	2	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	158	3	)	)	PUNCT
ejpam-3048	158	4	,	,	PUNCT
ejpam-3048	159	1	ϕ(a),m)−mϕ(a)−	ϕ(a),m)−mϕ(a)−	NOUN
ejpam-3048	159	2	g(t)η(ϕ(b	g(t)η(ϕ(b	NOUN
ejpam-3048	159	3	)	)	PUNCT
ejpam-3048	159	4	,	,	PUNCT
ejpam-3048	159	5	ϕ(a),m))q	ϕ(a),m))q	PROPN
ejpam-3048	159	6	×f(mϕ(a	×f(mϕ(a	NOUN
ejpam-3048	159	7	)	)	PUNCT
ejpam-3048	159	8	+	+	SYM
ejpam-3048	159	9	g(t)η(ϕ(b	g(t)η(ϕ(b	NUM
ejpam-3048	159	10	)	)	PUNCT
ejpam-3048	159	11	,	,	PUNCT
ejpam-3048	159	12	ϕ(a),m))d[g(t	ϕ(a),m))d[g(t	NUM
ejpam-3048	159	13	)	)	PUNCT
ejpam-3048	159	14	]	]	PUNCT
ejpam-3048	160	1	=	=	PUNCT
ejpam-3048	160	2	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	160	3	)	)	PUNCT
ejpam-3048	160	4	,	,	PUNCT
ejpam-3048	160	5	ϕ(a),m)p+q+1	ϕ(a),m)p+q+1	PROPN
ejpam-3048	161	1	×	×	NOUN
ejpam-3048	161	2	∫	∫	PROPN
ejpam-3048	161	3	1	1	NUM
ejpam-3048	161	4	0	0	NUM
ejpam-3048	161	5	gp(t)(1−	gp(t)(1−	NOUN
ejpam-3048	161	6	g(t))qf(mϕ(a	g(t))qf(mϕ(a	NOUN
ejpam-3048	161	7	)	)	PUNCT
ejpam-3048	161	8	+	+	NUM
ejpam-3048	161	9	g(t)η(ϕ(b	g(t)η(ϕ(b	NUM
ejpam-3048	161	10	)	)	PUNCT
ejpam-3048	161	11	,	,	PUNCT
ejpam-3048	161	12	ϕ(a),m))d[g(t	ϕ(a),m))d[g(t	PROPN
ejpam-3048	161	13	)	)	PUNCT
ejpam-3048	161	14	]	]	PUNCT
ejpam-3048	161	15	.	.	PUNCT
ejpam-3048	162	1	theorem	theorem	NOUN
ejpam-3048	162	2	3	3	X
ejpam-3048	162	3	.	.	PUNCT
ejpam-3048	163	1	let	let	VERB
ejpam-3048	163	2	ϕ	ϕ	NOUN
ejpam-3048	163	3	:	:	PUNCT
ejpam-3048	164	1	i	i	PRON
ejpam-3048	164	2	−→	−→	VERB
ejpam-3048	164	3	k	k	X
ejpam-3048	164	4	be	be	AUX
ejpam-3048	164	5	a	a	DET
ejpam-3048	164	6	continuous	continuous	ADJ
ejpam-3048	164	7	function	function	NOUN
ejpam-3048	164	8	and	and	CCONJ
ejpam-3048	164	9	g	g	NOUN
ejpam-3048	164	10	:	:	PUNCT
ejpam-3048	165	1	[	[	X
ejpam-3048	165	2	0	0	NUM
ejpam-3048	165	3	,	,	PUNCT
ejpam-3048	165	4	1	1	NUM
ejpam-3048	165	5	]	]	X
ejpam-3048	165	6	−→	−→	NOUN
ejpam-3048	165	7	(	(	PUNCT
ejpam-3048	165	8	0	0	NUM
ejpam-3048	165	9	,	,	PUNCT
ejpam-3048	165	10	1	1	NUM
ejpam-3048	165	11	)	)	PUNCT
ejpam-3048	165	12	is	be	AUX
ejpam-3048	165	13	a	a	DET
ejpam-3048	165	14	differentiable	differentiable	ADJ
ejpam-3048	165	15	function	function	NOUN
ejpam-3048	165	16	.	.	PUNCT
ejpam-3048	166	1	assume	assume	VERB
ejpam-3048	166	2	that	that	SCONJ
ejpam-3048	166	3	f	f	X
ejpam-3048	166	4	:	:	PUNCT
ejpam-3048	167	1	k	k	X
ejpam-3048	167	2	=	=	PUNCT
ejpam-3048	168	1	[	[	X
ejpam-3048	168	2	mϕ(a),mϕ(a)+η(ϕ(b	mϕ(a),mϕ(a)+η(ϕ(b	X
ejpam-3048	168	3	)	)	PUNCT
ejpam-3048	168	4	,	,	PUNCT
ejpam-3048	168	5	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	168	6	)	)	PUNCT
ejpam-3048	168	7	]	]	PUNCT
ejpam-3048	168	8	−→	−→	NOUN
ejpam-3048	168	9	(	(	PUNCT
ejpam-3048	168	10	0,∞	0,∞	NOUN
ejpam-3048	168	11	)	)	PUNCT
ejpam-3048	168	12	is	be	AUX
ejpam-3048	168	13	a	a	DET
ejpam-3048	168	14	continuous	continuous	ADJ
ejpam-3048	168	15	function	function	NOUN
ejpam-3048	168	16	on	on	ADP
ejpam-3048	168	17	k	k	NOUN
ejpam-3048	168	18	◦	◦	NOUN
ejpam-3048	168	19	with	with	ADP
ejpam-3048	168	20	respect	respect	NOUN
ejpam-3048	168	21	to	to	ADP
ejpam-3048	168	22	η	η	PROPN
ejpam-3048	168	23	:	:	PUNCT
ejpam-3048	169	1	k	k	PROPN
ejpam-3048	169	2	×	×	PROPN
ejpam-3048	169	3	k	k	PROPN
ejpam-3048	169	4	×	×	PROPN
ejpam-3048	169	5	(	(	PUNCT
ejpam-3048	169	6	0	0	NUM
ejpam-3048	169	7	,	,	PUNCT
ejpam-3048	169	8	1	1	NUM
ejpam-3048	169	9	]	]	X
ejpam-3048	169	10	−→	−→	ADJ
ejpam-3048	169	11	r	r	NOUN
ejpam-3048	169	12	,	,	PUNCT
ejpam-3048	169	13	for	for	ADP
ejpam-3048	169	14	mϕ(a	mϕ(a	NOUN
ejpam-3048	169	15	)	)	PUNCT
ejpam-3048	169	16	<	<	X
ejpam-3048	169	17	mϕ(a	mϕ(a	NOUN
ejpam-3048	169	18	)	)	PUNCT
ejpam-3048	169	19	+	+	CCONJ
ejpam-3048	169	20	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	169	21	)	)	PUNCT
ejpam-3048	169	22	,	,	PUNCT
ejpam-3048	169	23	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	169	24	)	)	PUNCT
ejpam-3048	169	25	.	.	PUNCT
ejpam-3048	170	1	let	let	VERB
ejpam-3048	170	2	k	k	PRON
ejpam-3048	170	3	>	>	X
ejpam-3048	170	4	1	1	NUM
ejpam-3048	170	5	and	and	CCONJ
ejpam-3048	170	6	0	0	NUM
ejpam-3048	171	1	<	<	X
ejpam-3048	171	2	r	r	NOUN
ejpam-3048	171	3	≤	≤	NUM
ejpam-3048	171	4	1	1	NUM
ejpam-3048	171	5	.	.	PUNCT
ejpam-3048	172	1	if	if	SCONJ
ejpam-3048	172	2	f	f	PROPN
ejpam-3048	172	3	k	k	PROPN
ejpam-3048	172	4	k−1	k−1	PROPN
ejpam-3048	172	5	is	be	AUX
ejpam-3048	172	6	a	a	DET
ejpam-3048	172	7	nonnegative	nonnegative	ADJ
ejpam-3048	172	8	mt(r;g	mt(r;g	NOUN
ejpam-3048	172	9	,	,	PUNCT
ejpam-3048	172	10	m,ϕ)preinvex	m,ϕ)preinvex	PROPN
ejpam-3048	172	11	function	function	NOUN
ejpam-3048	172	12	on	on	ADP
ejpam-3048	172	13	an	an	DET
ejpam-3048	172	14	open	open	ADJ
ejpam-3048	172	15	m	m	NOUN
ejpam-3048	172	16	-	-	PUNCT
ejpam-3048	172	17	invex	invex	NOUN
ejpam-3048	172	18	set	set	VERB
ejpam-3048	172	19	k	k	PROPN
ejpam-3048	172	20	for	for	ADP
ejpam-3048	172	21	any	any	DET
ejpam-3048	172	22	fixed	fix	VERB
ejpam-3048	172	23	m	m	NOUN
ejpam-3048	172	24	∈	∈	NOUN
ejpam-3048	172	25	(	(	PUNCT
ejpam-3048	172	26	0	0	NUM
ejpam-3048	172	27	,	,	PUNCT
ejpam-3048	172	28	1	1	NUM
ejpam-3048	172	29	]	]	PUNCT
ejpam-3048	172	30	,	,	PUNCT
ejpam-3048	172	31	then	then	ADV
ejpam-3048	172	32	for	for	ADP
ejpam-3048	172	33	any	any	DET
ejpam-3048	172	34	fixed	fix	VERB
ejpam-3048	172	35	p	p	NOUN
ejpam-3048	172	36	,	,	PUNCT
ejpam-3048	172	37	q	q	ADJ
ejpam-3048	172	38	>	>	X
ejpam-3048	172	39	0	0	NUM
ejpam-3048	172	40	,	,	PUNCT
ejpam-3048	172	41	we	we	PRON
ejpam-3048	172	42	have∫	have∫	VERB
ejpam-3048	172	43	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	SYM
ejpam-3048	172	44	)	)	PUNCT
ejpam-3048	172	45	mϕ(a	mϕ(a	NOUN
ejpam-3048	172	46	)	)	PUNCT
ejpam-3048	172	47	(	(	PUNCT
ejpam-3048	172	48	x−mϕ(a))p(mϕ(a	x−mϕ(a))p(mϕ(a	PROPN
ejpam-3048	172	49	)	)	PUNCT
ejpam-3048	173	1	+	+	CCONJ
ejpam-3048	173	2	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	173	3	)	)	PUNCT
ejpam-3048	173	4	,	,	PUNCT
ejpam-3048	173	5	ϕ(a),m)−	ϕ(a),m)−	VERB
ejpam-3048	173	6	x)qf(x)dx	x)qf(x)dx	DET
ejpam-3048	173	7	≤	≤	NOUN
ejpam-3048	173	8	(	(	PUNCT
ejpam-3048	173	9	m	m	NOUN
ejpam-3048	173	10	2	2	X
ejpam-3048	173	11	)	)	PUNCT
ejpam-3048	174	1	k−1	k−1	PROPN
ejpam-3048	174	2	rk	rk	NOUN
ejpam-3048	174	3	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	174	4	)	)	PUNCT
ejpam-3048	174	5	,	,	PUNCT
ejpam-3048	175	1	ϕ(a),m)|p+q+1b	ϕ(a),m)|p+q+1b	PROPN
ejpam-3048	175	2	1	1	NUM
ejpam-3048	175	3	k	k	PROPN
ejpam-3048	175	4	(	(	PUNCT
ejpam-3048	175	5	g(t	g(t	PROPN
ejpam-3048	175	6	)	)	PUNCT
ejpam-3048	175	7	;	;	PUNCT
ejpam-3048	176	1	k	k	X
ejpam-3048	176	2	,	,	PUNCT
ejpam-3048	176	3	p	p	X
ejpam-3048	176	4	,	,	PUNCT
ejpam-3048	176	5	q	q	ADJ
ejpam-3048	176	6	)	)	PUNCT
ejpam-3048	176	7	×	×	NOUN
ejpam-3048	176	8	[	[	PUNCT
ejpam-3048	176	9	br	br	NOUN
ejpam-3048	176	10	g(1	g(1	NOUN
ejpam-3048	176	11	)	)	PUNCT
ejpam-3048	176	12	(	(	PUNCT
ejpam-3048	176	13	1−	1−	NUM
ejpam-3048	176	14	1	1	NUM
ejpam-3048	176	15	2r	2r	NUM
ejpam-3048	176	16	,	,	PUNCT
ejpam-3048	176	17	1	1	NUM
ejpam-3048	176	18	+	+	SYM
ejpam-3048	176	19	1	1	NUM
ejpam-3048	176	20	2r	2r	NUM
ejpam-3048	176	21	)	)	PUNCT
ejpam-3048	177	1	f	f	X
ejpam-3048	178	1	rk	rk	NOUN
ejpam-3048	178	2	k−1	k−1	PROPN
ejpam-3048	178	3	(	(	PUNCT
ejpam-3048	178	4	ϕ(a	ϕ(a	NOUN
ejpam-3048	178	5	)	)	PUNCT
ejpam-3048	178	6	)	)	PUNCT
ejpam-3048	179	1	+	+	PUNCT
ejpam-3048	179	2	ar(g(t	ar(g(t	NOUN
ejpam-3048	179	3	)	)	PUNCT
ejpam-3048	179	4	;	;	PUNCT
ejpam-3048	179	5	r)f	r)f	VERB
ejpam-3048	179	6	rk	rk	PROPN
ejpam-3048	179	7	k−1	k−1	PROPN
ejpam-3048	179	8	(	(	PUNCT
ejpam-3048	179	9	ϕ(b	ϕ(b	PROPN
ejpam-3048	179	10	)	)	PUNCT
ejpam-3048	179	11	)	)	PUNCT
ejpam-3048	179	12	]	]	PUNCT
ejpam-3048	180	1	k−1	k−1	PROPN
ejpam-3048	180	2	rk	rk	INTJ
ejpam-3048	180	3	,	,	PUNCT
ejpam-3048	180	4	where	where	SCONJ
ejpam-3048	180	5	b(g(t	b(g(t	PROPN
ejpam-3048	180	6	)	)	PUNCT
ejpam-3048	180	7	;	;	PUNCT
ejpam-3048	181	1	k	k	X
ejpam-3048	181	2	,	,	PUNCT
ejpam-3048	181	3	p	p	X
ejpam-3048	181	4	,	,	PUNCT
ejpam-3048	181	5	q	q	NOUN
ejpam-3048	181	6	)	)	PUNCT
ejpam-3048	181	7	=	=	SYM
ejpam-3048	181	8	∫	∫	PROPN
ejpam-3048	181	9	1	1	NUM
ejpam-3048	181	10	0	0	NUM
ejpam-3048	181	11	gkp(t)(1−	gkp(t)(1−	NOUN
ejpam-3048	181	12	g(t))kqd[g(t	g(t))kqd[g(t	PROPN
ejpam-3048	181	13	)	)	PUNCT
ejpam-3048	181	14	]	]	X
ejpam-3048	181	15	;	;	PUNCT
ejpam-3048	181	16	a(g(t	a(g(t	PROPN
ejpam-3048	181	17	)	)	PUNCT
ejpam-3048	181	18	;	;	PUNCT
ejpam-3048	181	19	r	r	X
ejpam-3048	181	20	)	)	PUNCT
ejpam-3048	181	21	=	=	SYM
ejpam-3048	181	22	∫	∫	PROPN
ejpam-3048	181	23	1−g(0	1−g(0	NUM
ejpam-3048	181	24	)	)	PUNCT
ejpam-3048	181	25	1−g(1	1−g(1	NUM
ejpam-3048	181	26	)	)	PUNCT
ejpam-3048	181	27	(	(	PUNCT
ejpam-3048	181	28	√	√	NUM
ejpam-3048	181	29	1−	1−	NUM
ejpam-3048	181	30	t	t	PROPN
ejpam-3048	181	31	t	t	PROPN
ejpam-3048	181	32	)	)	PUNCT
ejpam-3048	181	33	1	1	NUM
ejpam-3048	181	34	r	r	NOUN
ejpam-3048	181	35	dt	dt	PROPN
ejpam-3048	181	36	.	.	PUNCT
ejpam-3048	182	1	a.	a.	PROPN
ejpam-3048	182	2	fundo	fundo	PROPN
ejpam-3048	182	3	,	,	PUNCT
ejpam-3048	182	4	a.	a.	NOUN
ejpam-3048	182	5	kashuri	kashuri	PROPN
ejpam-3048	182	6	,	,	PUNCT
ejpam-3048	182	7	m.	m.	NOUN
ejpam-3048	182	8	ramosaço	ramosaço	PROPN
ejpam-3048	182	9	,	,	PUNCT
ejpam-3048	182	10	r.	r.	PROPN
ejpam-3048	182	11	liko	liko	PROPN
ejpam-3048	182	12	/	/	SYM
ejpam-3048	182	13	eur	eur	PROPN
ejpam-3048	182	14	.	.	PUNCT
ejpam-3048	183	1	j.	j.	PROPN
ejpam-3048	183	2	pure	pure	PROPN
ejpam-3048	183	3	appl	appl	PROPN
ejpam-3048	183	4	.	.	PROPN
ejpam-3048	183	5	math	math	PROPN
ejpam-3048	183	6	,	,	PUNCT
ejpam-3048	183	7	10	10	NUM
ejpam-3048	183	8	(	(	PUNCT
ejpam-3048	183	9	4	4	NUM
ejpam-3048	183	10	)	)	PUNCT
ejpam-3048	183	11	(	(	PUNCT
ejpam-3048	183	12	2017	2017	NUM
ejpam-3048	183	13	)	)	PUNCT
ejpam-3048	183	14	,	,	PUNCT
ejpam-3048	183	15	809	809	NUM
ejpam-3048	183	16	-	-	SYM
ejpam-3048	183	17	834	834	NUM
ejpam-3048	183	18	815	815	NUM
ejpam-3048	183	19	proof	proof	NOUN
ejpam-3048	183	20	.	.	PUNCT
ejpam-3048	184	1	let	let	VERB
ejpam-3048	184	2	k	k	PRON
ejpam-3048	184	3	>	>	X
ejpam-3048	184	4	1	1	NUM
ejpam-3048	184	5	and	and	CCONJ
ejpam-3048	184	6	0	0	NUM
ejpam-3048	185	1	<	<	X
ejpam-3048	185	2	r	r	NOUN
ejpam-3048	185	3	≤	≤	NUM
ejpam-3048	185	4	1	1	NUM
ejpam-3048	185	5	.	.	PUNCT
ejpam-3048	186	1	since	since	SCONJ
ejpam-3048	186	2	f	f	PROPN
ejpam-3048	186	3	k	k	PROPN
ejpam-3048	186	4	k−1	k−1	PROPN
ejpam-3048	186	5	is	be	AUX
ejpam-3048	186	6	a	a	DET
ejpam-3048	186	7	nonnegative	nonnegative	ADJ
ejpam-3048	186	8	mt(r;g	mt(r;g	NOUN
ejpam-3048	186	9	,	,	PUNCT
ejpam-3048	186	10	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	186	11	function	function	NOUN
ejpam-3048	186	12	on	on	ADP
ejpam-3048	186	13	k	k	PROPN
ejpam-3048	186	14	,	,	PUNCT
ejpam-3048	186	15	combining	combine	VERB
ejpam-3048	186	16	with	with	ADP
ejpam-3048	186	17	lemma	lemma	PROPN
ejpam-3048	186	18	1	1	NUM
ejpam-3048	186	19	,	,	PUNCT
ejpam-3048	186	20	hölder	hölder	NOUN
ejpam-3048	186	21	inequality	inequality	NOUN
ejpam-3048	186	22	and	and	CCONJ
ejpam-3048	186	23	minkowski	minkowski	ADJ
ejpam-3048	186	24	inequality	inequality	NOUN
ejpam-3048	186	25	for	for	ADP
ejpam-3048	186	26	all	all	DET
ejpam-3048	186	27	t	t	NOUN
ejpam-3048	186	28	∈	∈	PROPN
ejpam-3048	187	1	[	[	X
ejpam-3048	187	2	0	0	NUM
ejpam-3048	187	3	,	,	PUNCT
ejpam-3048	187	4	1	1	NUM
ejpam-3048	187	5	]	]	PUNCT
ejpam-3048	187	6	and	and	CCONJ
ejpam-3048	187	7	for	for	ADP
ejpam-3048	187	8	any	any	DET
ejpam-3048	187	9	fixed	fix	VERB
ejpam-3048	187	10	m	m	NOUN
ejpam-3048	187	11	∈	∈	NOUN
ejpam-3048	187	12	(	(	PUNCT
ejpam-3048	187	13	0	0	NUM
ejpam-3048	187	14	,	,	PUNCT
ejpam-3048	187	15	1	1	NUM
ejpam-3048	187	16	]	]	PUNCT
ejpam-3048	187	17	,	,	PUNCT
ejpam-3048	187	18	we	we	PRON
ejpam-3048	187	19	get∫	get∫	PROPN
ejpam-3048	187	20	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3048	187	21	)	)	PUNCT
ejpam-3048	187	22	mϕ(a	mϕ(a	NOUN
ejpam-3048	187	23	)	)	PUNCT
ejpam-3048	187	24	(	(	PUNCT
ejpam-3048	187	25	x−mϕ(a))p(mϕ(a	x−mϕ(a))p(mϕ(a	PROPN
ejpam-3048	187	26	)	)	PUNCT
ejpam-3048	187	27	+	+	CCONJ
ejpam-3048	187	28	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	187	29	)	)	PUNCT
ejpam-3048	187	30	,	,	PUNCT
ejpam-3048	187	31	ϕ(a),m)−	ϕ(a),m)−	VERB
ejpam-3048	187	32	x)qf(x)dx	x)qf(x)dx	DET
ejpam-3048	187	33	≤	≤	NUM
ejpam-3048	187	34	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	187	35	)	)	PUNCT
ejpam-3048	187	36	,	,	PUNCT
ejpam-3048	187	37	ϕ(a),m)|p+q+1	ϕ(a),m)|p+q+1	X
ejpam-3048	188	1	[	[	X
ejpam-3048	188	2	∫	∫	X
ejpam-3048	188	3	1	1	NUM
ejpam-3048	188	4	0	0	NUM
ejpam-3048	188	5	gkp(t)(1−	gkp(t)(1−	NOUN
ejpam-3048	188	6	g(t))kqd[g(t	g(t))kqd[g(t	PROPN
ejpam-3048	188	7	)	)	PUNCT
ejpam-3048	188	8	]	]	PUNCT
ejpam-3048	188	9	]	]	PUNCT
ejpam-3048	188	10	1	1	NUM
ejpam-3048	188	11	k	k	NOUN
ejpam-3048	188	12	×	×	NOUN
ejpam-3048	188	13	[	[	X
ejpam-3048	188	14	∫	∫	PROPN
ejpam-3048	188	15	1	1	NUM
ejpam-3048	188	16	0	0	NUM
ejpam-3048	188	17	f	f	PROPN
ejpam-3048	188	18	k	k	PROPN
ejpam-3048	188	19	k−1	k−1	PROPN
ejpam-3048	188	20	(	(	PUNCT
ejpam-3048	188	21	mϕ(a	mϕ(a	NOUN
ejpam-3048	188	22	)	)	PUNCT
ejpam-3048	188	23	+	+	NUM
ejpam-3048	188	24	g(t)η(ϕ(b	g(t)η(ϕ(b	NUM
ejpam-3048	188	25	)	)	PUNCT
ejpam-3048	188	26	,	,	PUNCT
ejpam-3048	188	27	ϕ(a),m))d[g(t	ϕ(a),m))d[g(t	PROPN
ejpam-3048	188	28	)	)	PUNCT
ejpam-3048	188	29	]	]	PUNCT
ejpam-3048	188	30	]	]	PUNCT
ejpam-3048	189	1	k−1	k−1	PROPN
ejpam-3048	189	2	k	k	PROPN
ejpam-3048	189	3	≤	≤	PROPN
ejpam-3048	189	4	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	189	5	)	)	PUNCT
ejpam-3048	189	6	,	,	PUNCT
ejpam-3048	189	7	ϕ(a),m)|p+q+1b	ϕ(a),m)|p+q+1b	PROPN
ejpam-3048	189	8	1	1	NUM
ejpam-3048	189	9	k	k	PROPN
ejpam-3048	189	10	(	(	PUNCT
ejpam-3048	189	11	g(t	g(t	PROPN
ejpam-3048	189	12	)	)	PUNCT
ejpam-3048	189	13	;	;	PUNCT
ejpam-3048	190	1	k	k	X
ejpam-3048	190	2	,	,	PUNCT
ejpam-3048	190	3	p	p	X
ejpam-3048	190	4	,	,	PUNCT
ejpam-3048	190	5	q	q	ADJ
ejpam-3048	190	6	)	)	PUNCT
ejpam-3048	190	7	×	×	NOUN
ejpam-3048	191	1	[	[	X
ejpam-3048	191	2	∫	∫	PROPN
ejpam-3048	191	3	1	1	NUM
ejpam-3048	191	4	0	0	NUM
ejpam-3048	191	5	(	(	PUNCT
ejpam-3048	191	6	m	m	NOUN
ejpam-3048	191	7	√	√	NUM
ejpam-3048	191	8	g(t	g(t	PROPN
ejpam-3048	191	9	)	)	PUNCT
ejpam-3048	191	10	2	2	NUM
ejpam-3048	191	11	√	√	NUM
ejpam-3048	191	12	1−	1−	NUM
ejpam-3048	191	13	g(t	g(t	PROPN
ejpam-3048	191	14	)	)	PUNCT
ejpam-3048	191	15	f	f	PROPN
ejpam-3048	191	16	r(ϕ(b	r(ϕ(b	PROPN
ejpam-3048	191	17	)	)	PUNCT
ejpam-3048	191	18	)	)	PUNCT
ejpam-3048	192	1	k	k	PROPN
ejpam-3048	192	2	k−1	k−1	PROPN
ejpam-3048	192	3	+	+	CCONJ
ejpam-3048	192	4	m	m	VERB
ejpam-3048	192	5	√	√	ADJ
ejpam-3048	192	6	1−	1−	NUM
ejpam-3048	192	7	g(t	g(t	PROPN
ejpam-3048	192	8	)	)	PUNCT
ejpam-3048	192	9	2	2	NUM
ejpam-3048	192	10	√	√	NUM
ejpam-3048	192	11	g(t	g(t	PROPN
ejpam-3048	192	12	)	)	PUNCT
ejpam-3048	192	13	f	f	PROPN
ejpam-3048	192	14	r(ϕ(a	r(ϕ(a	PROPN
ejpam-3048	192	15	)	)	PUNCT
ejpam-3048	192	16	)	)	PUNCT
ejpam-3048	193	1	k	k	PROPN
ejpam-3048	193	2	k−1	k−1	PROPN
ejpam-3048	193	3	)	)	PUNCT
ejpam-3048	193	4	1	1	NUM
ejpam-3048	193	5	r	r	NOUN
ejpam-3048	193	6	d[g(t	d[g(t	PROPN
ejpam-3048	193	7	)	)	PUNCT
ejpam-3048	193	8	]	]	PUNCT
ejpam-3048	193	9	]	]	PUNCT
ejpam-3048	194	1	k−1	k−1	PROPN
ejpam-3048	194	2	k	k	PROPN
ejpam-3048	194	3	≤	≤	PROPN
ejpam-3048	194	4	(	(	PUNCT
ejpam-3048	194	5	m	m	NOUN
ejpam-3048	194	6	2	2	X
ejpam-3048	194	7	)	)	PUNCT
ejpam-3048	194	8	k−1	k−1	PROPN
ejpam-3048	194	9	rk	rk	NOUN
ejpam-3048	194	10	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	194	11	)	)	PUNCT
ejpam-3048	194	12	,	,	PUNCT
ejpam-3048	194	13	ϕ(a),m)|p+q+1b	ϕ(a),m)|p+q+1b	PROPN
ejpam-3048	194	14	1	1	NUM
ejpam-3048	194	15	k	k	PROPN
ejpam-3048	194	16	(	(	PUNCT
ejpam-3048	194	17	g(t	g(t	PROPN
ejpam-3048	194	18	)	)	PUNCT
ejpam-3048	194	19	;	;	PUNCT
ejpam-3048	195	1	k	k	X
ejpam-3048	195	2	,	,	PUNCT
ejpam-3048	195	3	p	p	X
ejpam-3048	195	4	,	,	PUNCT
ejpam-3048	195	5	q	q	ADJ
ejpam-3048	195	6	)	)	PUNCT
ejpam-3048	195	7	×	×	NOUN
ejpam-3048	195	8	{	{	PUNCT
ejpam-3048	195	9	∫	∫	NUM
ejpam-3048	195	10	1	1	NUM
ejpam-3048	195	11	0	0	NUM
ejpam-3048	195	12	(	(	PUNCT
ejpam-3048	195	13	√	√	NUM
ejpam-3048	195	14	g(t)√	g(t)√	PROPN
ejpam-3048	195	15	1−	1−	NUM
ejpam-3048	195	16	g(t	g(t	PROPN
ejpam-3048	195	17	)	)	PUNCT
ejpam-3048	195	18	)	)	PUNCT
ejpam-3048	196	1	1	1	NUM
ejpam-3048	196	2	r	r	NOUN
ejpam-3048	196	3	f	f	PROPN
ejpam-3048	197	1	k	k	PROPN
ejpam-3048	198	1	k−1	k−1	PROPN
ejpam-3048	199	1	(	(	PUNCT
ejpam-3048	200	1	ϕ(b))d[g(t	ϕ(b))d[g(t	PROPN
ejpam-3048	200	2	)	)	PUNCT
ejpam-3048	200	3	]	]	PUNCT
ejpam-3048	200	4	r	r	PUNCT
ejpam-3048	201	1	+	+	CCONJ
ejpam-3048	201	2	∫	∫	NUM
ejpam-3048	201	3	1	1	NUM
ejpam-3048	201	4	0	0	NUM
ejpam-3048	201	5	(	(	PUNCT
ejpam-3048	201	6	√	√	NUM
ejpam-3048	201	7	1−	1−	NUM
ejpam-3048	201	8	g(t)√	g(t)√	NOUN
ejpam-3048	201	9	g(t	g(t	PROPN
ejpam-3048	201	10	)	)	PUNCT
ejpam-3048	201	11	)	)	PUNCT
ejpam-3048	202	1	1	1	NUM
ejpam-3048	202	2	r	r	NOUN
ejpam-3048	202	3	f	f	PROPN
ejpam-3048	203	1	k	k	PROPN
ejpam-3048	204	1	k−1	k−1	PROPN
ejpam-3048	205	1	(	(	PUNCT
ejpam-3048	206	1	ϕ(a))d[g(t	ϕ(a))d[g(t	PROPN
ejpam-3048	206	2	)	)	PUNCT
ejpam-3048	206	3	]	]	PUNCT
ejpam-3048	207	1	r	r	PUNCT
ejpam-3048	207	2	}	}	PUNCT
ejpam-3048	207	3	k−1	k−1	PROPN
ejpam-3048	207	4	rk	rk	NOUN
ejpam-3048	207	5	=	=	SYM
ejpam-3048	207	6	(	(	PUNCT
ejpam-3048	207	7	m	m	NOUN
ejpam-3048	207	8	2	2	X
ejpam-3048	207	9	)	)	PUNCT
ejpam-3048	207	10	k−1	k−1	PROPN
ejpam-3048	207	11	rk	rk	NOUN
ejpam-3048	207	12	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	207	13	)	)	PUNCT
ejpam-3048	207	14	,	,	PUNCT
ejpam-3048	207	15	ϕ(a),m)|p+q+1b	ϕ(a),m)|p+q+1b	PROPN
ejpam-3048	207	16	1	1	NUM
ejpam-3048	207	17	k	k	PROPN
ejpam-3048	207	18	(	(	PUNCT
ejpam-3048	207	19	g(t	g(t	PROPN
ejpam-3048	207	20	)	)	PUNCT
ejpam-3048	207	21	;	;	PUNCT
ejpam-3048	208	1	k	k	X
ejpam-3048	208	2	,	,	PUNCT
ejpam-3048	208	3	p	p	X
ejpam-3048	208	4	,	,	PUNCT
ejpam-3048	208	5	q	q	ADJ
ejpam-3048	208	6	)	)	PUNCT
ejpam-3048	208	7	×	×	NOUN
ejpam-3048	208	8	[	[	PUNCT
ejpam-3048	208	9	br	br	NOUN
ejpam-3048	208	10	g(1	g(1	NOUN
ejpam-3048	208	11	)	)	PUNCT
ejpam-3048	208	12	(	(	PUNCT
ejpam-3048	208	13	1−	1−	NUM
ejpam-3048	208	14	1	1	NUM
ejpam-3048	208	15	2r	2r	NUM
ejpam-3048	208	16	,	,	PUNCT
ejpam-3048	208	17	1	1	NUM
ejpam-3048	208	18	+	+	SYM
ejpam-3048	208	19	1	1	NUM
ejpam-3048	208	20	2r	2r	NUM
ejpam-3048	208	21	)	)	PUNCT
ejpam-3048	209	1	f	f	X
ejpam-3048	210	1	rk	rk	NOUN
ejpam-3048	210	2	k−1	k−1	PROPN
ejpam-3048	210	3	(	(	PUNCT
ejpam-3048	210	4	ϕ(a	ϕ(a	NOUN
ejpam-3048	210	5	)	)	PUNCT
ejpam-3048	210	6	)	)	PUNCT
ejpam-3048	211	1	+	+	PUNCT
ejpam-3048	211	2	ar(g(t	ar(g(t	NOUN
ejpam-3048	211	3	)	)	PUNCT
ejpam-3048	211	4	;	;	PUNCT
ejpam-3048	211	5	r)f	r)f	VERB
ejpam-3048	211	6	rk	rk	PROPN
ejpam-3048	211	7	k−1	k−1	PROPN
ejpam-3048	211	8	(	(	PUNCT
ejpam-3048	211	9	ϕ(b	ϕ(b	PROPN
ejpam-3048	211	10	)	)	PUNCT
ejpam-3048	211	11	)	)	PUNCT
ejpam-3048	211	12	]	]	PUNCT
ejpam-3048	212	1	k−1	k−1	PROPN
ejpam-3048	212	2	rk	rk	INTJ
ejpam-3048	212	3	.	.	PUNCT
ejpam-3048	213	1	corollary	corollary	ADJ
ejpam-3048	213	2	1	1	NUM
ejpam-3048	213	3	.	.	PUNCT
ejpam-3048	214	1	under	under	ADP
ejpam-3048	214	2	the	the	DET
ejpam-3048	214	3	same	same	ADJ
ejpam-3048	214	4	conditions	condition	NOUN
ejpam-3048	214	5	as	as	ADP
ejpam-3048	214	6	in	in	ADP
ejpam-3048	214	7	theorem	theorem	NOUN
ejpam-3048	214	8	3	3	NUM
ejpam-3048	214	9	for	for	ADP
ejpam-3048	214	10	r	r	NOUN
ejpam-3048	214	11	=	=	SYM
ejpam-3048	214	12	1	1	NUM
ejpam-3048	214	13	and	and	CCONJ
ejpam-3048	214	14	g(t	g(t	PROPN
ejpam-3048	214	15	)	)	PUNCT
ejpam-3048	214	16	=	=	SYM
ejpam-3048	214	17	t	t	PROPN
ejpam-3048	214	18	,	,	PUNCT
ejpam-3048	214	19	we	we	PRON
ejpam-3048	214	20	get∫	get∫	PROPN
ejpam-3048	214	21	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3048	214	22	)	)	PUNCT
ejpam-3048	214	23	mϕ(a	mϕ(a	NOUN
ejpam-3048	214	24	)	)	PUNCT
ejpam-3048	214	25	(	(	PUNCT
ejpam-3048	214	26	x−mϕ(a))p(mϕ(a	x−mϕ(a))p(mϕ(a	PROPN
ejpam-3048	214	27	)	)	PUNCT
ejpam-3048	215	1	+	+	CCONJ
ejpam-3048	215	2	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	215	3	)	)	PUNCT
ejpam-3048	215	4	,	,	PUNCT
ejpam-3048	215	5	ϕ(a),m)−	ϕ(a),m)−	VERB
ejpam-3048	215	6	x)qf(x)dx	x)qf(x)dx	DET
ejpam-3048	215	7	≤	≤	NOUN
ejpam-3048	215	8	(	(	PUNCT
ejpam-3048	215	9	mπ	mπ	NOUN
ejpam-3048	215	10	4	4	NUM
ejpam-3048	215	11	)	)	PUNCT
ejpam-3048	215	12	k−1	k−1	PROPN
ejpam-3048	215	13	k	k	PROPN
ejpam-3048	215	14	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	215	15	)	)	PUNCT
ejpam-3048	215	16	,	,	PUNCT
ejpam-3048	216	1	ϕ(a),m)|p+q+1β	ϕ(a),m)|p+q+1β	PROPN
ejpam-3048	216	2	1	1	NUM
ejpam-3048	217	1	k	k	X
ejpam-3048	217	2	(	(	PUNCT
ejpam-3048	217	3	kp+	kp+	PROPN
ejpam-3048	217	4	1	1	NUM
ejpam-3048	217	5	,	,	PUNCT
ejpam-3048	217	6	kq	kq	PROPN
ejpam-3048	217	7	+	+	CCONJ
ejpam-3048	217	8	1	1	NUM
ejpam-3048	217	9	)	)	PUNCT
ejpam-3048	217	10	[	[	PUNCT
ejpam-3048	217	11	f	f	X
ejpam-3048	217	12	k	k	PROPN
ejpam-3048	217	13	k−1	k−1	PROPN
ejpam-3048	217	14	(	(	PUNCT
ejpam-3048	217	15	ϕ(a	ϕ(a	PROPN
ejpam-3048	217	16	)	)	PUNCT
ejpam-3048	217	17	)	)	PUNCT
ejpam-3048	218	1	+	+	CCONJ
ejpam-3048	218	2	f	f	X
ejpam-3048	218	3	k	k	PROPN
ejpam-3048	218	4	k−1	k−1	PROPN
ejpam-3048	218	5	(	(	PUNCT
ejpam-3048	218	6	ϕ(b	ϕ(b	PROPN
ejpam-3048	218	7	)	)	PUNCT
ejpam-3048	218	8	)	)	PUNCT
ejpam-3048	218	9	]	]	PUNCT
ejpam-3048	219	1	k−1	k−1	PROPN
ejpam-3048	219	2	k	k	PROPN
ejpam-3048	219	3	.	.	PUNCT
ejpam-3048	220	1	a.	a.	PROPN
ejpam-3048	220	2	fundo	fundo	PROPN
ejpam-3048	220	3	,	,	PUNCT
ejpam-3048	220	4	a.	a.	NOUN
ejpam-3048	220	5	kashuri	kashuri	PROPN
ejpam-3048	220	6	,	,	PUNCT
ejpam-3048	220	7	m.	m.	NOUN
ejpam-3048	220	8	ramosaço	ramosaço	PROPN
ejpam-3048	220	9	,	,	PUNCT
ejpam-3048	220	10	r.	r.	PROPN
ejpam-3048	220	11	liko	liko	PROPN
ejpam-3048	220	12	/	/	SYM
ejpam-3048	220	13	eur	eur	PROPN
ejpam-3048	220	14	.	.	PUNCT
ejpam-3048	221	1	j.	j.	PROPN
ejpam-3048	221	2	pure	pure	PROPN
ejpam-3048	221	3	appl	appl	PROPN
ejpam-3048	221	4	.	.	PROPN
ejpam-3048	221	5	math	math	PROPN
ejpam-3048	221	6	,	,	PUNCT
ejpam-3048	221	7	10	10	NUM
ejpam-3048	221	8	(	(	PUNCT
ejpam-3048	221	9	4	4	NUM
ejpam-3048	221	10	)	)	PUNCT
ejpam-3048	221	11	(	(	PUNCT
ejpam-3048	221	12	2017	2017	NUM
ejpam-3048	221	13	)	)	PUNCT
ejpam-3048	221	14	,	,	PUNCT
ejpam-3048	221	15	809	809	NUM
ejpam-3048	221	16	-	-	SYM
ejpam-3048	221	17	834	834	NUM
ejpam-3048	221	18	816	816	NUM
ejpam-3048	221	19	theorem	theorem	VERB
ejpam-3048	221	20	4	4	NUM
ejpam-3048	221	21	.	.	PUNCT
ejpam-3048	222	1	let	let	VERB
ejpam-3048	222	2	ϕ	ϕ	NOUN
ejpam-3048	222	3	:	:	PUNCT
ejpam-3048	223	1	i	i	PRON
ejpam-3048	223	2	−→	−→	VERB
ejpam-3048	223	3	k	k	X
ejpam-3048	223	4	be	be	AUX
ejpam-3048	223	5	a	a	DET
ejpam-3048	223	6	continuous	continuous	ADJ
ejpam-3048	223	7	function	function	NOUN
ejpam-3048	223	8	and	and	CCONJ
ejpam-3048	223	9	g	g	NOUN
ejpam-3048	223	10	:	:	PUNCT
ejpam-3048	224	1	[	[	X
ejpam-3048	224	2	0	0	NUM
ejpam-3048	224	3	,	,	PUNCT
ejpam-3048	224	4	1	1	NUM
ejpam-3048	224	5	]	]	X
ejpam-3048	224	6	−→	−→	NOUN
ejpam-3048	224	7	(	(	PUNCT
ejpam-3048	224	8	0	0	NUM
ejpam-3048	224	9	,	,	PUNCT
ejpam-3048	224	10	1	1	NUM
ejpam-3048	224	11	)	)	PUNCT
ejpam-3048	224	12	is	be	AUX
ejpam-3048	224	13	a	a	DET
ejpam-3048	224	14	differentiable	differentiable	ADJ
ejpam-3048	224	15	function	function	NOUN
ejpam-3048	224	16	.	.	PUNCT
ejpam-3048	225	1	assume	assume	VERB
ejpam-3048	225	2	that	that	SCONJ
ejpam-3048	225	3	f	f	X
ejpam-3048	225	4	:	:	PUNCT
ejpam-3048	226	1	k	k	X
ejpam-3048	226	2	=	=	PUNCT
ejpam-3048	227	1	[	[	X
ejpam-3048	227	2	mϕ(a),mϕ(a)+η(ϕ(b	mϕ(a),mϕ(a)+η(ϕ(b	X
ejpam-3048	227	3	)	)	PUNCT
ejpam-3048	227	4	,	,	PUNCT
ejpam-3048	227	5	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	227	6	)	)	PUNCT
ejpam-3048	227	7	]	]	PUNCT
ejpam-3048	227	8	−→	−→	NOUN
ejpam-3048	227	9	(	(	PUNCT
ejpam-3048	227	10	0,∞	0,∞	NOUN
ejpam-3048	227	11	)	)	PUNCT
ejpam-3048	227	12	is	be	AUX
ejpam-3048	227	13	a	a	DET
ejpam-3048	227	14	continuous	continuous	ADJ
ejpam-3048	227	15	function	function	NOUN
ejpam-3048	227	16	on	on	ADP
ejpam-3048	227	17	k	k	NOUN
ejpam-3048	227	18	◦	◦	NOUN
ejpam-3048	227	19	with	with	ADP
ejpam-3048	227	20	respect	respect	NOUN
ejpam-3048	227	21	to	to	ADP
ejpam-3048	227	22	η	η	PROPN
ejpam-3048	227	23	:	:	PUNCT
ejpam-3048	228	1	k	k	PROPN
ejpam-3048	228	2	×	×	PROPN
ejpam-3048	228	3	k	k	PROPN
ejpam-3048	228	4	×	×	PROPN
ejpam-3048	228	5	(	(	PUNCT
ejpam-3048	228	6	0	0	NUM
ejpam-3048	228	7	,	,	PUNCT
ejpam-3048	228	8	1	1	NUM
ejpam-3048	228	9	]	]	X
ejpam-3048	228	10	−→	−→	ADJ
ejpam-3048	228	11	r	r	NOUN
ejpam-3048	228	12	,	,	PUNCT
ejpam-3048	228	13	for	for	ADP
ejpam-3048	228	14	mϕ(a	mϕ(a	NOUN
ejpam-3048	228	15	)	)	PUNCT
ejpam-3048	228	16	<	<	X
ejpam-3048	228	17	mϕ(a	mϕ(a	NOUN
ejpam-3048	228	18	)	)	PUNCT
ejpam-3048	228	19	+	+	CCONJ
ejpam-3048	228	20	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	228	21	)	)	PUNCT
ejpam-3048	228	22	,	,	PUNCT
ejpam-3048	228	23	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	228	24	)	)	PUNCT
ejpam-3048	228	25	.	.	PUNCT
ejpam-3048	229	1	let	let	VERB
ejpam-3048	229	2	l	l	NOUN
ejpam-3048	229	3	≥	≥	NUM
ejpam-3048	229	4	1	1	NUM
ejpam-3048	229	5	and	and	CCONJ
ejpam-3048	229	6	0	0	NUM
ejpam-3048	229	7	<	<	X
ejpam-3048	229	8	r	r	NOUN
ejpam-3048	229	9	≤	≤	NUM
ejpam-3048	229	10	1	1	NUM
ejpam-3048	229	11	.	.	PUNCT
ejpam-3048	230	1	if	if	SCONJ
ejpam-3048	230	2	f	f	PROPN
ejpam-3048	230	3	l	l	NOUN
ejpam-3048	230	4	is	be	AUX
ejpam-3048	230	5	a	a	DET
ejpam-3048	230	6	nonnegative	nonnegative	ADJ
ejpam-3048	230	7	mt(r;g	mt(r;g	NOUN
ejpam-3048	230	8	,	,	PUNCT
ejpam-3048	230	9	m,ϕ)preinvex	m,ϕ)preinvex	PROPN
ejpam-3048	230	10	function	function	NOUN
ejpam-3048	230	11	on	on	ADP
ejpam-3048	230	12	an	an	DET
ejpam-3048	230	13	open	open	ADJ
ejpam-3048	230	14	m	m	NOUN
ejpam-3048	230	15	-	-	PUNCT
ejpam-3048	230	16	invex	invex	NOUN
ejpam-3048	230	17	set	set	VERB
ejpam-3048	230	18	k	k	PROPN
ejpam-3048	230	19	for	for	ADP
ejpam-3048	230	20	any	any	DET
ejpam-3048	230	21	fixed	fix	VERB
ejpam-3048	230	22	m	m	NOUN
ejpam-3048	230	23	∈	∈	NOUN
ejpam-3048	230	24	(	(	PUNCT
ejpam-3048	230	25	0	0	NUM
ejpam-3048	230	26	,	,	PUNCT
ejpam-3048	230	27	1	1	NUM
ejpam-3048	230	28	]	]	PUNCT
ejpam-3048	230	29	,	,	PUNCT
ejpam-3048	230	30	then	then	ADV
ejpam-3048	230	31	for	for	ADP
ejpam-3048	230	32	any	any	DET
ejpam-3048	230	33	fixed	fix	VERB
ejpam-3048	230	34	p	p	NOUN
ejpam-3048	230	35	,	,	PUNCT
ejpam-3048	230	36	q	q	ADJ
ejpam-3048	230	37	>	>	X
ejpam-3048	230	38	0	0	NUM
ejpam-3048	230	39	,	,	PUNCT
ejpam-3048	230	40	we	we	PRON
ejpam-3048	230	41	have∫	have∫	VERB
ejpam-3048	230	42	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	SYM
ejpam-3048	230	43	)	)	PUNCT
ejpam-3048	230	44	mϕ(a	mϕ(a	NOUN
ejpam-3048	230	45	)	)	PUNCT
ejpam-3048	230	46	(	(	PUNCT
ejpam-3048	230	47	x−mϕ(a))p(mϕ(a	x−mϕ(a))p(mϕ(a	PROPN
ejpam-3048	230	48	)	)	PUNCT
ejpam-3048	231	1	+	+	CCONJ
ejpam-3048	231	2	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	231	3	)	)	PUNCT
ejpam-3048	231	4	,	,	PUNCT
ejpam-3048	231	5	ϕ(a),m)−	ϕ(a),m)−	VERB
ejpam-3048	231	6	x)qf(x)dx	x)qf(x)dx	DET
ejpam-3048	231	7	≤	≤	NOUN
ejpam-3048	231	8	(	(	PUNCT
ejpam-3048	231	9	m	m	NOUN
ejpam-3048	231	10	2	2	NUM
ejpam-3048	231	11	)	)	PUNCT
ejpam-3048	231	12	1	1	NUM
ejpam-3048	231	13	rl	rl	ADP
ejpam-3048	231	14	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	231	15	)	)	PUNCT
ejpam-3048	231	16	,	,	PUNCT
ejpam-3048	231	17	ϕ(a),m)|p+q+1b	ϕ(a),m)|p+q+1b	PROPN
ejpam-3048	231	18	l−1	l−1	PROPN
ejpam-3048	231	19	l	l	NOUN
ejpam-3048	231	20	(	(	PUNCT
ejpam-3048	231	21	g(t	g(t	PROPN
ejpam-3048	231	22	)	)	PUNCT
ejpam-3048	231	23	;	;	PUNCT
ejpam-3048	231	24	1	1	NUM
ejpam-3048	231	25	,	,	PUNCT
ejpam-3048	231	26	p	p	X
ejpam-3048	231	27	,	,	PUNCT
ejpam-3048	231	28	q	q	ADJ
ejpam-3048	231	29	)	)	PUNCT
ejpam-3048	231	30	×	×	NOUN
ejpam-3048	231	31	[	[	PUNCT
ejpam-3048	231	32	br	br	X
ejpam-3048	231	33	(	(	PUNCT
ejpam-3048	231	34	g(t	g(t	PROPN
ejpam-3048	231	35	)	)	PUNCT
ejpam-3048	231	36	;	;	PUNCT
ejpam-3048	231	37	1	1	NUM
ejpam-3048	231	38	2r	2r	NUM
ejpam-3048	231	39	,	,	PUNCT
ejpam-3048	232	1	2pr	2pr	NOUN
ejpam-3048	232	2	−	−	NOUN
ejpam-3048	232	3	1	1	NUM
ejpam-3048	232	4	,	,	PUNCT
ejpam-3048	232	5	2qr	2qr	NOUN
ejpam-3048	232	6	+	+	CCONJ
ejpam-3048	232	7	1	1	X
ejpam-3048	232	8	)	)	PUNCT
ejpam-3048	232	9	f	f	PROPN
ejpam-3048	232	10	rl(ϕ(a	rl(ϕ(a	NOUN
ejpam-3048	232	11	)	)	PUNCT
ejpam-3048	232	12	)	)	PUNCT
ejpam-3048	233	1	+	+	PUNCT
ejpam-3048	233	2	br	br	INTJ
ejpam-3048	233	3	(	(	PUNCT
ejpam-3048	233	4	g(t	g(t	PROPN
ejpam-3048	233	5	)	)	PUNCT
ejpam-3048	233	6	;	;	PUNCT
ejpam-3048	233	7	1	1	NUM
ejpam-3048	233	8	2r	2r	NUM
ejpam-3048	233	9	,	,	PUNCT
ejpam-3048	233	10	2pr	2pr	NOUN
ejpam-3048	234	1	+	+	CCONJ
ejpam-3048	234	2	1	1	NUM
ejpam-3048	234	3	,	,	PUNCT
ejpam-3048	234	4	2qr	2qr	NOUN
ejpam-3048	234	5	−	−	NOUN
ejpam-3048	234	6	1	1	X
ejpam-3048	234	7	)	)	PUNCT
ejpam-3048	234	8	f	f	PROPN
ejpam-3048	234	9	rl(ϕ(b	rl(ϕ(b	NOUN
ejpam-3048	234	10	)	)	PUNCT
ejpam-3048	234	11	)	)	PUNCT
ejpam-3048	234	12	]	]	PUNCT
ejpam-3048	234	13	1	1	X
ejpam-3048	234	14	rl	rl	X
ejpam-3048	234	15	.	.	PUNCT
ejpam-3048	235	1	proof	proof	NOUN
ejpam-3048	235	2	.	.	PUNCT
ejpam-3048	236	1	let	let	VERB
ejpam-3048	236	2	l	l	NOUN
ejpam-3048	236	3	≥	≥	NUM
ejpam-3048	236	4	1	1	NUM
ejpam-3048	236	5	and	and	CCONJ
ejpam-3048	236	6	0	0	NUM
ejpam-3048	236	7	<	<	X
ejpam-3048	236	8	r	r	NOUN
ejpam-3048	236	9	≤	≤	NUM
ejpam-3048	236	10	1	1	NUM
ejpam-3048	236	11	.	.	PUNCT
ejpam-3048	237	1	since	since	SCONJ
ejpam-3048	237	2	f	f	PROPN
ejpam-3048	237	3	l	l	PROPN
ejpam-3048	237	4	is	be	AUX
ejpam-3048	237	5	a	a	DET
ejpam-3048	237	6	nonnegative	nonnegative	ADJ
ejpam-3048	237	7	mt(r;g	mt(r;g	NOUN
ejpam-3048	237	8	,	,	PUNCT
ejpam-3048	237	9	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	237	10	function	function	NOUN
ejpam-3048	237	11	on	on	ADP
ejpam-3048	237	12	k	k	PROPN
ejpam-3048	237	13	,	,	PUNCT
ejpam-3048	237	14	combining	combine	VERB
ejpam-3048	237	15	with	with	ADP
ejpam-3048	237	16	lemma	lemma	PROPN
ejpam-3048	237	17	1	1	NUM
ejpam-3048	237	18	,	,	PUNCT
ejpam-3048	237	19	the	the	DET
ejpam-3048	237	20	well	well	ADV
ejpam-3048	237	21	-	-	PUNCT
ejpam-3048	237	22	known	know	VERB
ejpam-3048	237	23	power	power	NOUN
ejpam-3048	237	24	mean	mean	VERB
ejpam-3048	237	25	inequality	inequality	NOUN
ejpam-3048	237	26	and	and	CCONJ
ejpam-3048	237	27	minkowski	minkowski	ADJ
ejpam-3048	237	28	inequality	inequality	NOUN
ejpam-3048	237	29	for	for	ADP
ejpam-3048	237	30	all	all	DET
ejpam-3048	237	31	t	t	NOUN
ejpam-3048	237	32	∈	∈	PROPN
ejpam-3048	238	1	[	[	X
ejpam-3048	238	2	0	0	NUM
ejpam-3048	238	3	,	,	PUNCT
ejpam-3048	238	4	1	1	NUM
ejpam-3048	238	5	]	]	PUNCT
ejpam-3048	238	6	and	and	CCONJ
ejpam-3048	238	7	for	for	ADP
ejpam-3048	238	8	any	any	DET
ejpam-3048	238	9	fixed	fix	VERB
ejpam-3048	238	10	m	m	NOUN
ejpam-3048	238	11	∈	∈	NOUN
ejpam-3048	238	12	(	(	PUNCT
ejpam-3048	238	13	0	0	NUM
ejpam-3048	238	14	,	,	PUNCT
ejpam-3048	238	15	1	1	NUM
ejpam-3048	238	16	]	]	PUNCT
ejpam-3048	238	17	,	,	PUNCT
ejpam-3048	238	18	we	we	PRON
ejpam-3048	238	19	get∫	get∫	PROPN
ejpam-3048	238	20	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3048	238	21	)	)	PUNCT
ejpam-3048	238	22	mϕ(a	mϕ(a	NOUN
ejpam-3048	238	23	)	)	PUNCT
ejpam-3048	238	24	(	(	PUNCT
ejpam-3048	238	25	x−mϕ(a))p(mϕ(a	x−mϕ(a))p(mϕ(a	PROPN
ejpam-3048	238	26	)	)	PUNCT
ejpam-3048	238	27	+	+	CCONJ
ejpam-3048	238	28	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	238	29	)	)	PUNCT
ejpam-3048	238	30	,	,	PUNCT
ejpam-3048	238	31	ϕ(a),m)−	ϕ(a),m)−	VERB
ejpam-3048	239	1	x)qf(x)dx	x)qf(x)dx	PRON
ejpam-3048	239	2	=	=	PUNCT
ejpam-3048	239	3	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	239	4	)	)	PUNCT
ejpam-3048	239	5	,	,	PUNCT
ejpam-3048	239	6	ϕ(a),m)p+q+1	ϕ(a),m)p+q+1	PROPN
ejpam-3048	239	7	∫	∫	PROPN
ejpam-3048	240	1	1	1	NUM
ejpam-3048	240	2	0	0	NUM
ejpam-3048	240	3	[	[	PUNCT
ejpam-3048	240	4	gp(t)(1−	gp(t)(1−	PROPN
ejpam-3048	240	5	g(t))q	g(t))q	NOUN
ejpam-3048	240	6	]	]	PUNCT
ejpam-3048	240	7	l−1	l−1	PROPN
ejpam-3048	240	8	l	l	NOUN
ejpam-3048	240	9	[	[	PUNCT
ejpam-3048	240	10	gp(t)(1−	gp(t)(1−	PROPN
ejpam-3048	240	11	g(t))q	g(t))q	PROPN
ejpam-3048	240	12	]	]	PUNCT
ejpam-3048	240	13	1	1	NUM
ejpam-3048	240	14	l	l	NOUN
ejpam-3048	240	15	×f(mϕ(a	×f(mϕ(a	NOUN
ejpam-3048	240	16	)	)	PUNCT
ejpam-3048	240	17	+	+	SYM
ejpam-3048	240	18	g(t)η(ϕ(b	g(t)η(ϕ(b	NUM
ejpam-3048	240	19	)	)	PUNCT
ejpam-3048	240	20	,	,	PUNCT
ejpam-3048	240	21	ϕ(a),m))d[g(t	ϕ(a),m))d[g(t	PROPN
ejpam-3048	240	22	)	)	PUNCT
ejpam-3048	240	23	]	]	PUNCT
ejpam-3048	241	1	≤	≤	NUM
ejpam-3048	241	2	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	241	3	)	)	PUNCT
ejpam-3048	241	4	,	,	PUNCT
ejpam-3048	241	5	ϕ(a),m)|p+q+1	ϕ(a),m)|p+q+1	X
ejpam-3048	242	1	[	[	X
ejpam-3048	242	2	∫	∫	X
ejpam-3048	242	3	1	1	NUM
ejpam-3048	242	4	0	0	NUM
ejpam-3048	242	5	gp(t)(1−	gp(t)(1−	PROPN
ejpam-3048	242	6	g(t))qd[g(t	g(t))qd[g(t	PROPN
ejpam-3048	242	7	)	)	PUNCT
ejpam-3048	242	8	]	]	PUNCT
ejpam-3048	242	9	]	]	PUNCT
ejpam-3048	243	1	l−1	l−1	NOUN
ejpam-3048	243	2	l	l	NOUN
ejpam-3048	243	3	×	×	NOUN
ejpam-3048	244	1	[	[	X
ejpam-3048	244	2	∫	∫	PROPN
ejpam-3048	244	3	1	1	NUM
ejpam-3048	244	4	0	0	NUM
ejpam-3048	244	5	gp(t)(1−	gp(t)(1−	NOUN
ejpam-3048	244	6	g(t))qf	g(t))qf	PROPN
ejpam-3048	244	7	l(mϕ(a	l(mϕ(a	PROPN
ejpam-3048	244	8	)	)	PUNCT
ejpam-3048	244	9	+	+	NUM
ejpam-3048	244	10	g(t)η(ϕ(b	g(t)η(ϕ(b	NUM
ejpam-3048	244	11	)	)	PUNCT
ejpam-3048	244	12	,	,	PUNCT
ejpam-3048	244	13	ϕ(a),m))d[g(t	ϕ(a),m))d[g(t	PROPN
ejpam-3048	244	14	)	)	PUNCT
ejpam-3048	244	15	]	]	PUNCT
ejpam-3048	244	16	]	]	PUNCT
ejpam-3048	244	17	1	1	NUM
ejpam-3048	244	18	l	l	NOUN
ejpam-3048	244	19	≤	≤	NUM
ejpam-3048	244	20	|η(ϕ(b	|η(ϕ(b	NOUN
ejpam-3048	244	21	)	)	PUNCT
ejpam-3048	244	22	,	,	PUNCT
ejpam-3048	244	23	ϕ(a),m)|p+q+1b	ϕ(a),m)|p+q+1b	PROPN
ejpam-3048	244	24	l−1	l−1	PROPN
ejpam-3048	244	25	l	l	NOUN
ejpam-3048	244	26	(	(	PUNCT
ejpam-3048	244	27	g(t	g(t	PROPN
ejpam-3048	244	28	)	)	PUNCT
ejpam-3048	244	29	;	;	PUNCT
ejpam-3048	244	30	1	1	NUM
ejpam-3048	244	31	,	,	PUNCT
ejpam-3048	244	32	p	p	X
ejpam-3048	244	33	,	,	PUNCT
ejpam-3048	244	34	q	q	ADJ
ejpam-3048	244	35	)	)	PUNCT
ejpam-3048	244	36	×	×	NOUN
ejpam-3048	245	1	[	[	X
ejpam-3048	245	2	∫	∫	PROPN
ejpam-3048	245	3	1	1	NUM
ejpam-3048	245	4	0	0	NUM
ejpam-3048	245	5	gp(t)(1−	gp(t)(1−	PROPN
ejpam-3048	245	6	g(t))q	g(t))q	PROPN
ejpam-3048	245	7	(	(	PUNCT
ejpam-3048	245	8	m	m	PROPN
ejpam-3048	245	9	√	√	PROPN
ejpam-3048	245	10	g(t	g(t	PROPN
ejpam-3048	245	11	)	)	PUNCT
ejpam-3048	245	12	2	2	NUM
ejpam-3048	245	13	√	√	NUM
ejpam-3048	245	14	1−	1−	NUM
ejpam-3048	245	15	g(t	g(t	PROPN
ejpam-3048	245	16	)	)	PUNCT
ejpam-3048	245	17	f	f	PROPN
ejpam-3048	245	18	r(ϕ(b))l	r(ϕ(b))l	NOUN
ejpam-3048	246	1	+	+	CCONJ
ejpam-3048	246	2	m	m	VERB
ejpam-3048	246	3	√	√	ADJ
ejpam-3048	246	4	1−	1−	NUM
ejpam-3048	246	5	g(t	g(t	PROPN
ejpam-3048	246	6	)	)	PUNCT
ejpam-3048	246	7	2	2	NUM
ejpam-3048	246	8	√	√	NUM
ejpam-3048	246	9	g(t	g(t	PROPN
ejpam-3048	246	10	)	)	PUNCT
ejpam-3048	247	1	f	f	PROPN
ejpam-3048	247	2	r(ϕ(a))l	r(ϕ(a))l	NOUN
ejpam-3048	247	3	)	)	PUNCT
ejpam-3048	247	4	1	1	NUM
ejpam-3048	247	5	r	r	NOUN
ejpam-3048	247	6	d[g(t	d[g(t	PROPN
ejpam-3048	247	7	)	)	PUNCT
ejpam-3048	247	8	]	]	PUNCT
ejpam-3048	248	1	]	]	PUNCT
ejpam-3048	248	2	1	1	NUM
ejpam-3048	248	3	l	l	NOUN
ejpam-3048	248	4	≤	≤	NUM
ejpam-3048	248	5	(	(	PUNCT
ejpam-3048	248	6	m	m	NOUN
ejpam-3048	248	7	2	2	NUM
ejpam-3048	248	8	)	)	PUNCT
ejpam-3048	248	9	1	1	NUM
ejpam-3048	248	10	rl	rl	ADP
ejpam-3048	248	11	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	248	12	)	)	PUNCT
ejpam-3048	248	13	,	,	PUNCT
ejpam-3048	248	14	ϕ(a),m)|p+q+1b	ϕ(a),m)|p+q+1b	PROPN
ejpam-3048	248	15	l−1	l−1	PROPN
ejpam-3048	248	16	l	l	NOUN
ejpam-3048	248	17	(	(	PUNCT
ejpam-3048	248	18	g(t	g(t	PROPN
ejpam-3048	248	19	)	)	PUNCT
ejpam-3048	248	20	;	;	PUNCT
ejpam-3048	248	21	1	1	NUM
ejpam-3048	248	22	,	,	PUNCT
ejpam-3048	248	23	p	p	X
ejpam-3048	248	24	,	,	PUNCT
ejpam-3048	248	25	q	q	NOUN
ejpam-3048	248	26	)	)	PUNCT
ejpam-3048	248	27	a.	a.	NOUN
ejpam-3048	248	28	fundo	fundo	PROPN
ejpam-3048	248	29	,	,	PUNCT
ejpam-3048	248	30	a.	a.	NOUN
ejpam-3048	248	31	kashuri	kashuri	PROPN
ejpam-3048	248	32	,	,	PUNCT
ejpam-3048	248	33	m.	m.	NOUN
ejpam-3048	248	34	ramosaço	ramosaço	PROPN
ejpam-3048	248	35	,	,	PUNCT
ejpam-3048	248	36	r.	r.	PROPN
ejpam-3048	248	37	liko	liko	PROPN
ejpam-3048	248	38	/	/	SYM
ejpam-3048	248	39	eur	eur	PROPN
ejpam-3048	248	40	.	.	PUNCT
ejpam-3048	249	1	j.	j.	PROPN
ejpam-3048	249	2	pure	pure	PROPN
ejpam-3048	249	3	appl	appl	PROPN
ejpam-3048	249	4	.	.	PROPN
ejpam-3048	249	5	math	math	PROPN
ejpam-3048	249	6	,	,	PUNCT
ejpam-3048	249	7	10	10	NUM
ejpam-3048	249	8	(	(	PUNCT
ejpam-3048	249	9	4	4	NUM
ejpam-3048	249	10	)	)	PUNCT
ejpam-3048	249	11	(	(	PUNCT
ejpam-3048	249	12	2017	2017	NUM
ejpam-3048	249	13	)	)	PUNCT
ejpam-3048	249	14	,	,	PUNCT
ejpam-3048	249	15	809	809	NUM
ejpam-3048	249	16	-	-	SYM
ejpam-3048	249	17	834	834	NUM
ejpam-3048	249	18	817	817	NUM
ejpam-3048	249	19	×	×	NOUN
ejpam-3048	249	20	{	{	PUNCT
ejpam-3048	249	21	(	(	PUNCT
ejpam-3048	249	22	∫	∫	PROPN
ejpam-3048	249	23	1	1	NUM
ejpam-3048	249	24	0	0	NUM
ejpam-3048	249	25	gp+	gp+	ADJ
ejpam-3048	249	26	1	1	NUM
ejpam-3048	249	27	2r	2r	NUM
ejpam-3048	249	28	(	(	PUNCT
ejpam-3048	249	29	t)(1−	t)(1−	PROPN
ejpam-3048	249	30	g(t))q−	g(t))q−	PROPN
ejpam-3048	249	31	1	1	NUM
ejpam-3048	249	32	2r	2r	NUM
ejpam-3048	249	33	f	f	X
ejpam-3048	249	34	l(ϕ(b))d[g(t	l(ϕ(b))d[g(t	NOUN
ejpam-3048	249	35	)	)	PUNCT
ejpam-3048	249	36	]	]	PUNCT
ejpam-3048	249	37	)	)	PUNCT
ejpam-3048	250	1	r	r	NOUN
ejpam-3048	250	2	+	+	CCONJ
ejpam-3048	250	3	(	(	PUNCT
ejpam-3048	250	4	∫	∫	PROPN
ejpam-3048	250	5	1	1	NUM
ejpam-3048	250	6	0	0	NUM
ejpam-3048	250	7	gp−	gp−	SYM
ejpam-3048	250	8	1	1	NUM
ejpam-3048	250	9	2r	2r	NUM
ejpam-3048	250	10	(	(	PUNCT
ejpam-3048	250	11	t)(1−	t)(1−	NOUN
ejpam-3048	250	12	g(t))q+	g(t))q+	NOUN
ejpam-3048	250	13	1	1	NUM
ejpam-3048	250	14	2r	2r	NUM
ejpam-3048	250	15	f	f	X
ejpam-3048	250	16	l(ϕ(a))d[g(t	l(ϕ(a))d[g(t	PROPN
ejpam-3048	250	17	)	)	PUNCT
ejpam-3048	250	18	]	]	PUNCT
ejpam-3048	250	19	)	)	PUNCT
ejpam-3048	250	20	r	r	X
ejpam-3048	250	21	}	}	SYM
ejpam-3048	250	22	1	1	NUM
ejpam-3048	250	23	rl	rl	NOUN
ejpam-3048	250	24	=	=	SYM
ejpam-3048	250	25	(	(	PUNCT
ejpam-3048	250	26	m	m	NOUN
ejpam-3048	250	27	2	2	NUM
ejpam-3048	250	28	)	)	PUNCT
ejpam-3048	250	29	1	1	NUM
ejpam-3048	250	30	rl	rl	ADP
ejpam-3048	250	31	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	250	32	)	)	PUNCT
ejpam-3048	250	33	,	,	PUNCT
ejpam-3048	250	34	ϕ(a),m)|p+q+1b	ϕ(a),m)|p+q+1b	PROPN
ejpam-3048	250	35	l−1	l−1	PROPN
ejpam-3048	250	36	l	l	NOUN
ejpam-3048	250	37	(	(	PUNCT
ejpam-3048	250	38	g(t	g(t	PROPN
ejpam-3048	250	39	)	)	PUNCT
ejpam-3048	250	40	;	;	PUNCT
ejpam-3048	250	41	1	1	NUM
ejpam-3048	250	42	,	,	PUNCT
ejpam-3048	250	43	p	p	X
ejpam-3048	250	44	,	,	PUNCT
ejpam-3048	250	45	q	q	ADJ
ejpam-3048	250	46	)	)	PUNCT
ejpam-3048	250	47	×	×	NOUN
ejpam-3048	250	48	[	[	PUNCT
ejpam-3048	250	49	br	br	X
ejpam-3048	250	50	(	(	PUNCT
ejpam-3048	250	51	g(t	g(t	PROPN
ejpam-3048	250	52	)	)	PUNCT
ejpam-3048	250	53	;	;	PUNCT
ejpam-3048	250	54	1	1	NUM
ejpam-3048	250	55	2r	2r	NUM
ejpam-3048	250	56	,	,	PUNCT
ejpam-3048	250	57	2pr	2pr	NOUN
ejpam-3048	251	1	−	−	NOUN
ejpam-3048	251	2	1	1	NUM
ejpam-3048	251	3	,	,	PUNCT
ejpam-3048	251	4	2qr	2qr	NOUN
ejpam-3048	252	1	+	+	CCONJ
ejpam-3048	252	2	1	1	X
ejpam-3048	252	3	)	)	PUNCT
ejpam-3048	252	4	f	f	PROPN
ejpam-3048	252	5	rl(ϕ(a	rl(ϕ(a	NOUN
ejpam-3048	252	6	)	)	PUNCT
ejpam-3048	252	7	)	)	PUNCT
ejpam-3048	253	1	+	+	PUNCT
ejpam-3048	253	2	br	br	INTJ
ejpam-3048	253	3	(	(	PUNCT
ejpam-3048	253	4	g(t	g(t	PROPN
ejpam-3048	253	5	)	)	PUNCT
ejpam-3048	253	6	;	;	PUNCT
ejpam-3048	253	7	1	1	NUM
ejpam-3048	253	8	2r	2r	NUM
ejpam-3048	253	9	,	,	PUNCT
ejpam-3048	253	10	2pr	2pr	NOUN
ejpam-3048	254	1	+	+	CCONJ
ejpam-3048	254	2	1	1	NUM
ejpam-3048	254	3	,	,	PUNCT
ejpam-3048	254	4	2qr	2qr	NOUN
ejpam-3048	254	5	−	−	NOUN
ejpam-3048	254	6	1	1	X
ejpam-3048	254	7	)	)	PUNCT
ejpam-3048	254	8	f	f	PROPN
ejpam-3048	254	9	rl(ϕ(b	rl(ϕ(b	NOUN
ejpam-3048	254	10	)	)	PUNCT
ejpam-3048	254	11	)	)	PUNCT
ejpam-3048	254	12	]	]	PUNCT
ejpam-3048	254	13	1	1	X
ejpam-3048	254	14	rl	rl	X
ejpam-3048	254	15	.	.	PUNCT
ejpam-3048	255	1	corollary	corollary	ADJ
ejpam-3048	255	2	2	2	NUM
ejpam-3048	255	3	.	.	PUNCT
ejpam-3048	256	1	under	under	ADP
ejpam-3048	256	2	the	the	DET
ejpam-3048	256	3	same	same	ADJ
ejpam-3048	256	4	conditions	condition	NOUN
ejpam-3048	256	5	as	as	ADP
ejpam-3048	256	6	in	in	ADP
ejpam-3048	256	7	theorem	theorem	NOUN
ejpam-3048	256	8	4	4	NUM
ejpam-3048	256	9	for	for	ADP
ejpam-3048	256	10	r	r	NOUN
ejpam-3048	256	11	=	=	SYM
ejpam-3048	256	12	1	1	NUM
ejpam-3048	256	13	and	and	CCONJ
ejpam-3048	256	14	g(t	g(t	PROPN
ejpam-3048	256	15	)	)	PUNCT
ejpam-3048	256	16	=	=	SYM
ejpam-3048	256	17	t	t	PROPN
ejpam-3048	256	18	,	,	PUNCT
ejpam-3048	256	19	we	we	PRON
ejpam-3048	256	20	get∫	get∫	PROPN
ejpam-3048	256	21	mϕ(a)+η(ϕ(b),ϕ(a),m	mϕ(a)+η(ϕ(b),ϕ(a),m	PROPN
ejpam-3048	256	22	)	)	PUNCT
ejpam-3048	256	23	mϕ(a	mϕ(a	NOUN
ejpam-3048	256	24	)	)	PUNCT
ejpam-3048	256	25	(	(	PUNCT
ejpam-3048	256	26	x−mϕ(a))p(mϕ(a	x−mϕ(a))p(mϕ(a	PROPN
ejpam-3048	256	27	)	)	PUNCT
ejpam-3048	257	1	+	+	CCONJ
ejpam-3048	257	2	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	257	3	)	)	PUNCT
ejpam-3048	257	4	,	,	PUNCT
ejpam-3048	257	5	ϕ(a),m)−	ϕ(a),m)−	VERB
ejpam-3048	257	6	x)qf(x)dx	x)qf(x)dx	DET
ejpam-3048	257	7	≤	≤	NOUN
ejpam-3048	257	8	(	(	PUNCT
ejpam-3048	257	9	m	m	NOUN
ejpam-3048	257	10	2	2	NUM
ejpam-3048	257	11	)	)	PUNCT
ejpam-3048	257	12	1	1	NUM
ejpam-3048	257	13	l	l	NOUN
ejpam-3048	257	14	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	257	15	)	)	PUNCT
ejpam-3048	257	16	,	,	PUNCT
ejpam-3048	257	17	ϕ(a),m)|p+q+1β	ϕ(a),m)|p+q+1β	PROPN
ejpam-3048	257	18	l−1	l−1	PROPN
ejpam-3048	257	19	l	l	NOUN
ejpam-3048	257	20	(	(	PUNCT
ejpam-3048	257	21	p+	p+	NOUN
ejpam-3048	257	22	1	1	NUM
ejpam-3048	257	23	,	,	PUNCT
ejpam-3048	257	24	q	q	X
ejpam-3048	258	1	+	+	NUM
ejpam-3048	258	2	1	1	X
ejpam-3048	258	3	)	)	PUNCT
ejpam-3048	258	4	×	×	NOUN
ejpam-3048	258	5	[	[	PUNCT
ejpam-3048	258	6	β	β	X
ejpam-3048	258	7	(	(	PUNCT
ejpam-3048	258	8	p+	p+	PROPN
ejpam-3048	258	9	1	1	NUM
ejpam-3048	258	10	2	2	NUM
ejpam-3048	258	11	,	,	PUNCT
ejpam-3048	258	12	q	q	X
ejpam-3048	258	13	+	+	NUM
ejpam-3048	258	14	3	3	NUM
ejpam-3048	258	15	2	2	NUM
ejpam-3048	258	16	)	)	PUNCT
ejpam-3048	258	17	f	f	PROPN
ejpam-3048	258	18	l(ϕ(a	l(ϕ(a	PROPN
ejpam-3048	258	19	)	)	PUNCT
ejpam-3048	258	20	)	)	PUNCT
ejpam-3048	259	1	+	+	CCONJ
ejpam-3048	259	2	β	β	X
ejpam-3048	259	3	(	(	PUNCT
ejpam-3048	259	4	p+	p+	PROPN
ejpam-3048	259	5	3	3	NUM
ejpam-3048	259	6	2	2	NUM
ejpam-3048	259	7	,	,	PUNCT
ejpam-3048	259	8	q	q	X
ejpam-3048	259	9	+	+	NUM
ejpam-3048	259	10	1	1	NUM
ejpam-3048	259	11	2	2	NUM
ejpam-3048	259	12	)	)	PUNCT
ejpam-3048	259	13	f	f	PROPN
ejpam-3048	259	14	l(ϕ(b	l(ϕ(b	PROPN
ejpam-3048	259	15	)	)	PUNCT
ejpam-3048	259	16	)	)	PUNCT
ejpam-3048	259	17	]	]	PUNCT
ejpam-3048	259	18	1	1	NUM
ejpam-3048	259	19	l	l	NOUN
ejpam-3048	259	20	.	.	PUNCT
ejpam-3048	260	1	3	3	X
ejpam-3048	260	2	.	.	X
ejpam-3048	260	3	some	some	DET
ejpam-3048	260	4	new	new	ADJ
ejpam-3048	260	5	hermite	hermite	ADJ
ejpam-3048	260	6	-	-	PUNCT
ejpam-3048	260	7	hadamard	hadamard	ADJ
ejpam-3048	260	8	type	type	NOUN
ejpam-3048	260	9	conformable	conformable	ADJ
ejpam-3048	260	10	fractional	fractional	ADJ
ejpam-3048	260	11	integral	integral	ADJ
ejpam-3048	260	12	inequalities	inequality	NOUN
ejpam-3048	260	13	for	for	ADP
ejpam-3048	260	14	twice	twice	ADJ
ejpam-3048	260	15	differentiable	differentiable	ADJ
ejpam-3048	260	16	mt(r;g	mt(r;g	NOUN
ejpam-3048	260	17	,	,	PUNCT
ejpam-3048	260	18	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	260	19	functions	function	NOUN
ejpam-3048	260	20	in	in	ADP
ejpam-3048	260	21	this	this	DET
ejpam-3048	260	22	section	section	NOUN
ejpam-3048	260	23	,	,	PUNCT
ejpam-3048	260	24	in	in	ADP
ejpam-3048	260	25	order	order	NOUN
ejpam-3048	260	26	to	to	PART
ejpam-3048	260	27	prove	prove	VERB
ejpam-3048	260	28	our	our	PRON
ejpam-3048	260	29	main	main	ADJ
ejpam-3048	260	30	results	result	NOUN
ejpam-3048	260	31	regarding	regard	VERB
ejpam-3048	260	32	some	some	DET
ejpam-3048	260	33	generalizations	generalization	NOUN
ejpam-3048	260	34	of	of	ADP
ejpam-3048	260	35	hermite	hermite	ADJ
ejpam-3048	260	36	-	-	PUNCT
ejpam-3048	260	37	hadamard	hadamard	ADJ
ejpam-3048	260	38	type	type	NOUN
ejpam-3048	260	39	inequalities	inequality	NOUN
ejpam-3048	260	40	for	for	ADP
ejpam-3048	260	41	twice	twice	ADJ
ejpam-3048	260	42	differentiable	differentiable	ADJ
ejpam-3048	260	43	mt(r;g	mt(r;g	NOUN
ejpam-3048	260	44	,	,	PUNCT
ejpam-3048	260	45	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	260	46	functions	function	NOUN
ejpam-3048	260	47	via	via	ADP
ejpam-3048	260	48	conformable	conformable	ADJ
ejpam-3048	260	49	fractional	fractional	ADJ
ejpam-3048	260	50	integrals	integral	NOUN
ejpam-3048	260	51	,	,	PUNCT
ejpam-3048	260	52	we	we	PRON
ejpam-3048	260	53	need	need	VERB
ejpam-3048	260	54	the	the	DET
ejpam-3048	260	55	following	follow	VERB
ejpam-3048	260	56	new	new	ADJ
ejpam-3048	260	57	interesting	interesting	ADJ
ejpam-3048	260	58	integral	integral	ADJ
ejpam-3048	260	59	identity	identity	NOUN
ejpam-3048	260	60	:	:	PUNCT
ejpam-3048	260	61	lemma	lemma	PROPN
ejpam-3048	260	62	2	2	X
ejpam-3048	260	63	.	.	PUNCT
ejpam-3048	260	64	let	let	VERB
ejpam-3048	260	65	ϕ	ϕ	NOUN
ejpam-3048	260	66	:	:	PUNCT
ejpam-3048	261	1	i	i	PRON
ejpam-3048	261	2	−→	−→	VERB
ejpam-3048	261	3	k	k	X
ejpam-3048	261	4	be	be	AUX
ejpam-3048	261	5	a	a	DET
ejpam-3048	261	6	continuous	continuous	ADJ
ejpam-3048	261	7	function	function	NOUN
ejpam-3048	261	8	and	and	CCONJ
ejpam-3048	261	9	g	g	NOUN
ejpam-3048	261	10	:	:	PUNCT
ejpam-3048	262	1	[	[	X
ejpam-3048	262	2	0	0	NUM
ejpam-3048	262	3	,	,	PUNCT
ejpam-3048	262	4	1	1	NUM
ejpam-3048	262	5	]	]	X
ejpam-3048	262	6	−→	−→	NOUN
ejpam-3048	262	7	[	[	X
ejpam-3048	262	8	0	0	NUM
ejpam-3048	262	9	,	,	PUNCT
ejpam-3048	262	10	1	1	NUM
ejpam-3048	262	11	]	]	PUNCT
ejpam-3048	262	12	is	be	AUX
ejpam-3048	262	13	a	a	DET
ejpam-3048	262	14	differentiable	differentiable	ADJ
ejpam-3048	262	15	function	function	NOUN
ejpam-3048	262	16	.	.	PUNCT
ejpam-3048	263	1	suppose	suppose	VERB
ejpam-3048	263	2	k	k	PROPN
ejpam-3048	263	3	⊆	⊆	NUM
ejpam-3048	263	4	r	r	NOUN
ejpam-3048	263	5	be	be	VERB
ejpam-3048	263	6	an	an	DET
ejpam-3048	263	7	open	open	ADJ
ejpam-3048	263	8	m	m	NOUN
ejpam-3048	263	9	-	-	PUNCT
ejpam-3048	263	10	invex	invex	NOUN
ejpam-3048	263	11	subset	subset	VERB
ejpam-3048	263	12	with	with	ADP
ejpam-3048	263	13	respect	respect	NOUN
ejpam-3048	263	14	to	to	ADP
ejpam-3048	263	15	η	η	PROPN
ejpam-3048	263	16	:	:	PUNCT
ejpam-3048	263	17	k	k	PROPN
ejpam-3048	263	18	×k	×k	PROPN
ejpam-3048	263	19	×	×	NOUN
ejpam-3048	263	20	(	(	PUNCT
ejpam-3048	263	21	0	0	NUM
ejpam-3048	263	22	,	,	PUNCT
ejpam-3048	263	23	1	1	NUM
ejpam-3048	263	24	]	]	X
ejpam-3048	263	25	−→	−→	ADJ
ejpam-3048	263	26	r	r	NOUN
ejpam-3048	263	27	for	for	ADP
ejpam-3048	263	28	any	any	DET
ejpam-3048	263	29	fixed	fix	VERB
ejpam-3048	263	30	m	m	NOUN
ejpam-3048	263	31	∈	∈	NOUN
ejpam-3048	263	32	(	(	PUNCT
ejpam-3048	263	33	0	0	NUM
ejpam-3048	263	34	,	,	PUNCT
ejpam-3048	263	35	1	1	NUM
ejpam-3048	263	36	]	]	PUNCT
ejpam-3048	263	37	and	and	CCONJ
ejpam-3048	263	38	let	let	VERB
ejpam-3048	263	39	mϕ(a	mϕ(a	NOUN
ejpam-3048	263	40	)	)	PUNCT
ejpam-3048	263	41	<	<	X
ejpam-3048	263	42	mϕ(a	mϕ(a	NOUN
ejpam-3048	263	43	)	)	PUNCT
ejpam-3048	264	1	+	+	CCONJ
ejpam-3048	264	2	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	264	3	)	)	PUNCT
ejpam-3048	264	4	,	,	PUNCT
ejpam-3048	264	5	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	264	6	)	)	PUNCT
ejpam-3048	264	7	.	.	PUNCT
ejpam-3048	265	1	assume	assume	VERB
ejpam-3048	265	2	that	that	SCONJ
ejpam-3048	265	3	f	f	X
ejpam-3048	265	4	:	:	PUNCT
ejpam-3048	266	1	k	k	X
ejpam-3048	266	2	=	=	PUNCT
ejpam-3048	267	1	[	[	X
ejpam-3048	267	2	mϕ(a),mϕ(a	mϕ(a),mϕ(a	NOUN
ejpam-3048	267	3	)	)	PUNCT
ejpam-3048	267	4	+	+	NUM
ejpam-3048	267	5	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	267	6	)	)	PUNCT
ejpam-3048	267	7	,	,	PUNCT
ejpam-3048	267	8	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	267	9	)	)	PUNCT
ejpam-3048	267	10	]	]	PUNCT
ejpam-3048	268	1	−→	−→	NOUN
ejpam-3048	268	2	r	r	NOUN
ejpam-3048	268	3	be	be	VERB
ejpam-3048	268	4	a	a	DET
ejpam-3048	268	5	twice	twice	ADV
ejpam-3048	268	6	differentiable	differentiable	ADJ
ejpam-3048	268	7	function	function	NOUN
ejpam-3048	268	8	on	on	ADP
ejpam-3048	268	9	k	k	NOUN
ejpam-3048	268	10	◦	◦	NOUN
ejpam-3048	268	11	and	and	CCONJ
ejpam-3048	268	12	f	f	X
ejpam-3048	268	13	′′	′′	PROPN
ejpam-3048	268	14	∈	∈	PROPN
ejpam-3048	268	15	l1[mϕ(a),mϕ(a	l1[mϕ(a),mϕ(a	PROPN
ejpam-3048	268	16	)	)	PUNCT
ejpam-3048	269	1	+	+	NUM
ejpam-3048	270	1	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	270	2	)	)	PUNCT
ejpam-3048	270	3	,	,	PUNCT
ejpam-3048	270	4	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	270	5	)	)	PUNCT
ejpam-3048	270	6	]	]	PUNCT
ejpam-3048	270	7	.	.	PUNCT
ejpam-3048	271	1	then	then	ADV
ejpam-3048	271	2	for	for	ADP
ejpam-3048	271	3	α	α	PROPN
ejpam-3048	271	4	>	>	X
ejpam-3048	271	5	0	0	PROPN
ejpam-3048	271	6	,	,	PUNCT
ejpam-3048	271	7	we	we	PRON
ejpam-3048	271	8	have	have	VERB
ejpam-3048	271	9	ηα+2(ϕ(x	ηα+2(ϕ(x	NOUN
ejpam-3048	271	10	)	)	PUNCT
ejpam-3048	271	11	,	,	PUNCT
ejpam-3048	271	12	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	271	13	)	)	PUNCT
ejpam-3048	271	14	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	271	15	)	)	PUNCT
ejpam-3048	271	16	,	,	PUNCT
ejpam-3048	271	17	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	271	18	)	)	PUNCT
ejpam-3048	271	19	×	×	NOUN
ejpam-3048	271	20	{	{	PUNCT
ejpam-3048	271	21	β(n+	β(n+	PROPN
ejpam-3048	271	22	2	2	NUM
ejpam-3048	271	23	,	,	PUNCT
ejpam-3048	271	24	α−	α−	ADP
ejpam-3048	271	25	n	n	CCONJ
ejpam-3048	271	26	)	)	PUNCT
ejpam-3048	271	27	η(ϕ(x	η(ϕ(x	PROPN
ejpam-3048	271	28	)	)	PUNCT
ejpam-3048	271	29	,	,	PUNCT
ejpam-3048	271	30	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	271	31	)	)	PUNCT
ejpam-3048	271	32	a.	a.	NOUN
ejpam-3048	271	33	fundo	fundo	PROPN
ejpam-3048	271	34	,	,	PUNCT
ejpam-3048	271	35	a.	a.	NOUN
ejpam-3048	271	36	kashuri	kashuri	PROPN
ejpam-3048	271	37	,	,	PUNCT
ejpam-3048	271	38	m.	m.	NOUN
ejpam-3048	271	39	ramosaço	ramosaço	PROPN
ejpam-3048	271	40	,	,	PUNCT
ejpam-3048	271	41	r.	r.	PROPN
ejpam-3048	271	42	liko	liko	PROPN
ejpam-3048	271	43	/	/	SYM
ejpam-3048	271	44	eur	eur	PROPN
ejpam-3048	271	45	.	.	PUNCT
ejpam-3048	272	1	j.	j.	PROPN
ejpam-3048	272	2	pure	pure	PROPN
ejpam-3048	272	3	appl	appl	PROPN
ejpam-3048	272	4	.	.	PROPN
ejpam-3048	272	5	math	math	PROPN
ejpam-3048	272	6	,	,	PUNCT
ejpam-3048	272	7	10	10	NUM
ejpam-3048	272	8	(	(	PUNCT
ejpam-3048	272	9	4	4	NUM
ejpam-3048	272	10	)	)	PUNCT
ejpam-3048	272	11	(	(	PUNCT
ejpam-3048	272	12	2017	2017	NUM
ejpam-3048	272	13	)	)	PUNCT
ejpam-3048	272	14	,	,	PUNCT
ejpam-3048	272	15	809	809	NUM
ejpam-3048	272	16	-	-	SYM
ejpam-3048	272	17	834	834	NUM
ejpam-3048	272	18	818	818	NUM
ejpam-3048	272	19	×	×	NOUN
ejpam-3048	272	20	[	[	PUNCT
ejpam-3048	272	21	f	f	X
ejpam-3048	272	22	′(mϕ(a	′(mϕ(a	PROPN
ejpam-3048	272	23	)	)	PUNCT
ejpam-3048	273	1	+	+	CCONJ
ejpam-3048	273	2	g(1)η(ϕ(x	g(1)η(ϕ(x	PROPN
ejpam-3048	273	3	)	)	PUNCT
ejpam-3048	274	1	,	,	PUNCT
ejpam-3048	274	2	ϕ(a),m))−	ϕ(a),m))−	NOUN
ejpam-3048	274	3	f	f	PROPN
ejpam-3048	274	4	′(mϕ(a	′(mϕ(a	PROPN
ejpam-3048	274	5	)	)	PUNCT
ejpam-3048	274	6	+	+	CCONJ
ejpam-3048	274	7	g(0)η(ϕ(x	g(0)η(ϕ(x	PROPN
ejpam-3048	274	8	)	)	PUNCT
ejpam-3048	274	9	,	,	PUNCT
ejpam-3048	274	10	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	274	11	)	)	PUNCT
ejpam-3048	274	12	]	]	PUNCT
ejpam-3048	275	1	−	−	PROPN
ejpam-3048	275	2	bg(1)(n+	bg(1)(n+	PROPN
ejpam-3048	275	3	2	2	NUM
ejpam-3048	275	4	,	,	PUNCT
ejpam-3048	275	5	α−	α−	ADP
ejpam-3048	275	6	n)f	n)f	NOUN
ejpam-3048	275	7	′(mϕ(a	′(mϕ(a	NOUN
ejpam-3048	275	8	)	)	PUNCT
ejpam-3048	275	9	+	+	CCONJ
ejpam-3048	275	10	g(1)η(ϕ(x	g(1)η(ϕ(x	PROPN
ejpam-3048	275	11	)	)	PUNCT
ejpam-3048	275	12	,	,	PUNCT
ejpam-3048	275	13	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	275	14	)	)	PUNCT
ejpam-3048	275	15	)	)	PUNCT
ejpam-3048	276	1	η(ϕ(x	η(ϕ(x	PROPN
ejpam-3048	276	2	)	)	PUNCT
ejpam-3048	276	3	,	,	PUNCT
ejpam-3048	276	4	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	276	5	)	)	PUNCT
ejpam-3048	276	6	+	+	CCONJ
ejpam-3048	276	7	1	1	NUM
ejpam-3048	276	8	η2(ϕ(x	η2(ϕ(x	NOUN
ejpam-3048	276	9	)	)	PUNCT
ejpam-3048	276	10	,	,	PUNCT
ejpam-3048	276	11	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	276	12	)	)	PUNCT
ejpam-3048	276	13	×	×	NOUN
ejpam-3048	276	14	[	[	PUNCT
ejpam-3048	276	15	gn+1(1)(1−	gn+1(1)(1−	X
ejpam-3048	276	16	g(1))α−n−1f(mϕ(a	g(1))α−n−1f(mϕ(a	NOUN
ejpam-3048	276	17	)	)	PUNCT
ejpam-3048	276	18	+	+	NUM
ejpam-3048	276	19	g(1)η(ϕ(x	g(1)η(ϕ(x	PROPN
ejpam-3048	276	20	)	)	PUNCT
ejpam-3048	276	21	,	,	PUNCT
ejpam-3048	276	22	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	276	23	)	)	PUNCT
ejpam-3048	276	24	)	)	PUNCT
ejpam-3048	277	1	−gn+1(0)(1−	−gn+1(0)(1−	ADP
ejpam-3048	277	2	g(0))α−n−1f(mϕ(a	g(0))α−n−1f(mϕ(a	PROPN
ejpam-3048	277	3	)	)	PUNCT
ejpam-3048	277	4	+	+	CCONJ
ejpam-3048	277	5	g(0)η(ϕ(x	g(0)η(ϕ(x	PROPN
ejpam-3048	277	6	)	)	PUNCT
ejpam-3048	277	7	,	,	PUNCT
ejpam-3048	277	8	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	277	9	)	)	PUNCT
ejpam-3048	277	10	)	)	PUNCT
ejpam-3048	277	11	]	]	PUNCT
ejpam-3048	278	1	+	+	CCONJ
ejpam-3048	278	2	1	1	NUM
ejpam-3048	278	3	ηα+2(ϕ(x	ηα+2(ϕ(x	NOUN
ejpam-3048	278	4	)	)	PUNCT
ejpam-3048	278	5	,	,	PUNCT
ejpam-3048	278	6	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	278	7	)	)	PUNCT
ejpam-3048	278	8	×	×	NOUN
ejpam-3048	278	9	[	[	PUNCT
ejpam-3048	278	10	(	(	PUNCT
ejpam-3048	278	11	n+	n+	NOUN
ejpam-3048	278	12	1	1	NUM
ejpam-3048	278	13	)	)	PUNCT
ejpam-3048	278	14	∫	∫	NOUN
ejpam-3048	278	15	mϕ(a)+g(1)η(ϕ(x),ϕ(a),m	mϕ(a)+g(1)η(ϕ(x),ϕ(a),m	NUM
ejpam-3048	278	16	)	)	PUNCT
ejpam-3048	278	17	mϕ(a)+g(0)η(ϕ(x),ϕ(a),m	mϕ(a)+g(0)η(ϕ(x),ϕ(a),m	NUM
ejpam-3048	278	18	)	)	PUNCT
ejpam-3048	278	19	(	(	PUNCT
ejpam-3048	278	20	t−mϕ(a))n	t−mϕ(a))n	X
ejpam-3048	278	21	×(mϕ(a	×(mϕ(a	VERB
ejpam-3048	278	22	)	)	PUNCT
ejpam-3048	279	1	+	+	CCONJ
ejpam-3048	280	1	η(ϕ(x	η(ϕ(x	PROPN
ejpam-3048	280	2	)	)	PUNCT
ejpam-3048	280	3	,	,	PUNCT
ejpam-3048	280	4	ϕ(a),m)−	ϕ(a),m)−	PROPN
ejpam-3048	280	5	t)α−n−1f(t)dt	t)α−n−1f(t)dt	PROPN
ejpam-3048	280	6	−(α−	−(α−	VERB
ejpam-3048	280	7	n−	n−	NOUN
ejpam-3048	280	8	1	1	NUM
ejpam-3048	280	9	)	)	PUNCT
ejpam-3048	280	10	∫	∫	NOUN
ejpam-3048	280	11	mϕ(a)+g(1)η(ϕ(x),ϕ(a),m	mϕ(a)+g(1)η(ϕ(x),ϕ(a),m	NUM
ejpam-3048	280	12	)	)	PUNCT
ejpam-3048	280	13	mϕ(a)+g(0)η(ϕ(x),ϕ(a),m	mϕ(a)+g(0)η(ϕ(x),ϕ(a),m	NUM
ejpam-3048	280	14	)	)	PUNCT
ejpam-3048	280	15	(	(	PUNCT
ejpam-3048	280	16	t−mϕ(a))n+1	t−mϕ(a))n+1	NOUN
ejpam-3048	280	17	×(mϕ(a	×(mϕ(a	VERB
ejpam-3048	280	18	)	)	PUNCT
ejpam-3048	281	1	+	+	CCONJ
ejpam-3048	282	1	η(ϕ(x	η(ϕ(x	PROPN
ejpam-3048	282	2	)	)	PUNCT
ejpam-3048	282	3	,	,	PUNCT
ejpam-3048	282	4	ϕ(a),m)−	ϕ(a),m)−	PROPN
ejpam-3048	282	5	t)α−n−2f(t)dt	t)α−n−2f(t)dt	NOUN
ejpam-3048	282	6	]	]	PUNCT
ejpam-3048	282	7	}	}	PUNCT
ejpam-3048	282	8	+	+	CCONJ
ejpam-3048	282	9	ηα+2(ϕ(x	ηα+2(ϕ(x	NOUN
ejpam-3048	282	10	)	)	PUNCT
ejpam-3048	282	11	,	,	PUNCT
ejpam-3048	282	12	ϕ(b),m	ϕ(b),m	ADJ
ejpam-3048	282	13	)	)	PUNCT
ejpam-3048	282	14	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	282	15	)	)	PUNCT
ejpam-3048	282	16	,	,	PUNCT
ejpam-3048	282	17	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	282	18	)	)	PUNCT
ejpam-3048	282	19	×	×	NOUN
ejpam-3048	282	20	{	{	PUNCT
ejpam-3048	282	21	β(n+	β(n+	PROPN
ejpam-3048	282	22	2	2	NUM
ejpam-3048	282	23	,	,	PUNCT
ejpam-3048	282	24	α−	α−	ADP
ejpam-3048	282	25	n	n	CCONJ
ejpam-3048	282	26	)	)	PUNCT
ejpam-3048	282	27	η(ϕ(x	η(ϕ(x	PROPN
ejpam-3048	282	28	)	)	PUNCT
ejpam-3048	282	29	,	,	PUNCT
ejpam-3048	282	30	ϕ(b),m	ϕ(b),m	ADJ
ejpam-3048	282	31	)	)	PUNCT
ejpam-3048	282	32	×	×	NOUN
ejpam-3048	282	33	[	[	PUNCT
ejpam-3048	282	34	f	f	X
ejpam-3048	282	35	′(mϕ(b	′(mϕ(b	PROPN
ejpam-3048	282	36	)	)	PUNCT
ejpam-3048	282	37	+	+	CCONJ
ejpam-3048	282	38	g(1)η(ϕ(x	g(1)η(ϕ(x	PROPN
ejpam-3048	282	39	)	)	PUNCT
ejpam-3048	282	40	,	,	PUNCT
ejpam-3048	282	41	ϕ(b),m))−	ϕ(b),m))−	NOUN
ejpam-3048	282	42	f	f	PROPN
ejpam-3048	282	43	′(mϕ(b	′(mϕ(b	PROPN
ejpam-3048	282	44	)	)	PUNCT
ejpam-3048	283	1	+	+	CCONJ
ejpam-3048	283	2	g(0)η(ϕ(x	g(0)η(ϕ(x	PROPN
ejpam-3048	283	3	)	)	PUNCT
ejpam-3048	283	4	,	,	PUNCT
ejpam-3048	283	5	ϕ(b),m	ϕ(b),m	NOUN
ejpam-3048	283	6	)	)	PUNCT
ejpam-3048	283	7	]	]	PUNCT
ejpam-3048	284	1	−	−	PROPN
ejpam-3048	284	2	bg(1)(n+	bg(1)(n+	PROPN
ejpam-3048	284	3	2	2	NUM
ejpam-3048	284	4	,	,	PUNCT
ejpam-3048	284	5	α−	α−	ADP
ejpam-3048	284	6	n)f	n)f	NOUN
ejpam-3048	284	7	′(mϕ(b	′(mϕ(b	ADJ
ejpam-3048	284	8	)	)	PUNCT
ejpam-3048	284	9	+	+	CCONJ
ejpam-3048	284	10	g(1)η(ϕ(x	g(1)η(ϕ(x	PROPN
ejpam-3048	284	11	)	)	PUNCT
ejpam-3048	284	12	,	,	PUNCT
ejpam-3048	284	13	ϕ(b),m	ϕ(b),m	NOUN
ejpam-3048	284	14	)	)	PUNCT
ejpam-3048	284	15	)	)	PUNCT
ejpam-3048	285	1	η(ϕ(x	η(ϕ(x	PROPN
ejpam-3048	285	2	)	)	PUNCT
ejpam-3048	285	3	,	,	PUNCT
ejpam-3048	285	4	ϕ(b),m	ϕ(b),m	NOUN
ejpam-3048	285	5	)	)	PUNCT
ejpam-3048	286	1	+	+	CCONJ
ejpam-3048	286	2	1	1	NUM
ejpam-3048	286	3	η2(ϕ(x	η2(ϕ(x	NOUN
ejpam-3048	286	4	)	)	PUNCT
ejpam-3048	286	5	,	,	PUNCT
ejpam-3048	286	6	ϕ(b),m	ϕ(b),m	ADJ
ejpam-3048	286	7	)	)	PUNCT
ejpam-3048	286	8	×	×	NOUN
ejpam-3048	286	9	[	[	PUNCT
ejpam-3048	286	10	gn+1(1)(1−	gn+1(1)(1−	X
ejpam-3048	286	11	g(1))α−n−1f(mϕ(b	g(1))α−n−1f(mϕ(b	ADJ
ejpam-3048	286	12	)	)	PUNCT
ejpam-3048	286	13	+	+	NUM
ejpam-3048	286	14	g(1)η(ϕ(x	g(1)η(ϕ(x	PROPN
ejpam-3048	286	15	)	)	PUNCT
ejpam-3048	286	16	,	,	PUNCT
ejpam-3048	286	17	ϕ(b),m	ϕ(b),m	NOUN
ejpam-3048	286	18	)	)	PUNCT
ejpam-3048	286	19	)	)	PUNCT
ejpam-3048	286	20	−gn+1(0)(1−	−gn+1(0)(1−	ADP
ejpam-3048	286	21	g(0))α−n−1f(mϕ(b	g(0))α−n−1f(mϕ(b	PROPN
ejpam-3048	286	22	)	)	PUNCT
ejpam-3048	287	1	+	+	CCONJ
ejpam-3048	288	1	g(0)η(ϕ(x	g(0)η(ϕ(x	PROPN
ejpam-3048	288	2	)	)	PUNCT
ejpam-3048	288	3	,	,	PUNCT
ejpam-3048	288	4	ϕ(b),m	ϕ(b),m	NOUN
ejpam-3048	288	5	)	)	PUNCT
ejpam-3048	288	6	)	)	PUNCT
ejpam-3048	288	7	]	]	PUNCT
ejpam-3048	289	1	+	+	CCONJ
ejpam-3048	289	2	1	1	NUM
ejpam-3048	289	3	ηα+2(ϕ(x	ηα+2(ϕ(x	NOUN
ejpam-3048	289	4	)	)	PUNCT
ejpam-3048	289	5	,	,	PUNCT
ejpam-3048	289	6	ϕ(b),m	ϕ(b),m	NOUN
ejpam-3048	289	7	)	)	PUNCT
ejpam-3048	289	8	a.	a.	NOUN
ejpam-3048	289	9	fundo	fundo	PROPN
ejpam-3048	289	10	,	,	PUNCT
ejpam-3048	289	11	a.	a.	NOUN
ejpam-3048	289	12	kashuri	kashuri	PROPN
ejpam-3048	289	13	,	,	PUNCT
ejpam-3048	289	14	m.	m.	NOUN
ejpam-3048	289	15	ramosaço	ramosaço	PROPN
ejpam-3048	289	16	,	,	PUNCT
ejpam-3048	289	17	r.	r.	PROPN
ejpam-3048	289	18	liko	liko	PROPN
ejpam-3048	289	19	/	/	SYM
ejpam-3048	289	20	eur	eur	PROPN
ejpam-3048	289	21	.	.	PUNCT
ejpam-3048	290	1	j.	j.	PROPN
ejpam-3048	290	2	pure	pure	PROPN
ejpam-3048	290	3	appl	appl	PROPN
ejpam-3048	290	4	.	.	PROPN
ejpam-3048	290	5	math	math	PROPN
ejpam-3048	290	6	,	,	PUNCT
ejpam-3048	290	7	10	10	NUM
ejpam-3048	290	8	(	(	PUNCT
ejpam-3048	290	9	4	4	NUM
ejpam-3048	290	10	)	)	PUNCT
ejpam-3048	290	11	(	(	PUNCT
ejpam-3048	290	12	2017	2017	NUM
ejpam-3048	290	13	)	)	PUNCT
ejpam-3048	290	14	,	,	PUNCT
ejpam-3048	290	15	809	809	NUM
ejpam-3048	290	16	-	-	SYM
ejpam-3048	290	17	834	834	NUM
ejpam-3048	290	18	819	819	NUM
ejpam-3048	290	19	×	×	NOUN
ejpam-3048	290	20	[	[	PUNCT
ejpam-3048	290	21	(	(	PUNCT
ejpam-3048	290	22	n+	n+	NOUN
ejpam-3048	290	23	1	1	NUM
ejpam-3048	290	24	)	)	PUNCT
ejpam-3048	290	25	∫	∫	PROPN
ejpam-3048	290	26	mϕ(b)+g(1)η(ϕ(x),ϕ(b),m	mϕ(b)+g(1)η(ϕ(x),ϕ(b),m	NUM
ejpam-3048	290	27	)	)	PUNCT
ejpam-3048	290	28	mϕ(b)+g(0)η(ϕ(x),ϕ(b),m	mϕ(b)+g(0)η(ϕ(x),ϕ(b),m	NUM
ejpam-3048	290	29	)	)	PUNCT
ejpam-3048	290	30	(	(	PUNCT
ejpam-3048	290	31	t−mϕ(b))n	t−mϕ(b))n	NOUN
ejpam-3048	290	32	×(mϕ(b	×(mϕ(b	NOUN
ejpam-3048	290	33	)	)	PUNCT
ejpam-3048	290	34	+	+	CCONJ
ejpam-3048	290	35	η(ϕ(x	η(ϕ(x	PROPN
ejpam-3048	290	36	)	)	PUNCT
ejpam-3048	290	37	,	,	PUNCT
ejpam-3048	290	38	ϕ(b),m)−	ϕ(b),m)−	PROPN
ejpam-3048	290	39	t)α−n−1f(t)dt	t)α−n−1f(t)dt	PROPN
ejpam-3048	290	40	−(α−	−(α−	NOUN
ejpam-3048	290	41	n−	n−	NOUN
ejpam-3048	290	42	1	1	NUM
ejpam-3048	290	43	)	)	PUNCT
ejpam-3048	290	44	∫	∫	PROPN
ejpam-3048	290	45	mϕ(b)+g(1)η(ϕ(x),ϕ(b),m	mϕ(b)+g(1)η(ϕ(x),ϕ(b),m	NUM
ejpam-3048	290	46	)	)	PUNCT
ejpam-3048	290	47	mϕ(b)+g(0)η(ϕ(x),ϕ(b),m	mϕ(b)+g(0)η(ϕ(x),ϕ(b),m	NUM
ejpam-3048	290	48	)	)	PUNCT
ejpam-3048	290	49	(	(	PUNCT
ejpam-3048	290	50	t−mϕ(b))n+1	t−mϕ(b))n+1	NOUN
ejpam-3048	290	51	×(mϕ(b	×(mϕ(b	PROPN
ejpam-3048	290	52	)	)	PUNCT
ejpam-3048	290	53	+	+	CCONJ
ejpam-3048	290	54	η(ϕ(x	η(ϕ(x	PROPN
ejpam-3048	290	55	)	)	PUNCT
ejpam-3048	290	56	,	,	PUNCT
ejpam-3048	290	57	ϕ(b),m)−	ϕ(b),m)−	PROPN
ejpam-3048	290	58	t)α−n−2f(t)dt	t)α−n−2f(t)dt	NOUN
ejpam-3048	290	59	]	]	PUNCT
ejpam-3048	290	60	}	}	PUNCT
ejpam-3048	290	61	=	=	SYM
ejpam-3048	290	62	ηα+2(ϕ(x	ηα+2(ϕ(x	X
ejpam-3048	290	63	)	)	PUNCT
ejpam-3048	290	64	,	,	PUNCT
ejpam-3048	290	65	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	290	66	)	)	PUNCT
ejpam-3048	290	67	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	290	68	)	)	PUNCT
ejpam-3048	290	69	,	,	PUNCT
ejpam-3048	290	70	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	290	71	)	)	PUNCT
ejpam-3048	290	72	×	×	NOUN
ejpam-3048	290	73	∫	∫	NOUN
ejpam-3048	290	74	1	1	NUM
ejpam-3048	290	75	0	0	NUM
ejpam-3048	290	76	(	(	PUNCT
ejpam-3048	290	77	β(n+	β(n+	PROPN
ejpam-3048	290	78	2	2	NUM
ejpam-3048	290	79	,	,	PUNCT
ejpam-3048	290	80	α−	α−	ADP
ejpam-3048	290	81	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	290	82	2	2	NUM
ejpam-3048	290	83	,	,	PUNCT
ejpam-3048	290	84	α−	α−	ADP
ejpam-3048	290	85	n))f	n))f	ADJ
ejpam-3048	290	86	′′(mϕ(a	′′(mϕ(a	PROPN
ejpam-3048	290	87	)	)	PUNCT
ejpam-3048	290	88	+	+	NUM
ejpam-3048	290	89	g(t)η(ϕ(x	g(t)η(ϕ(x	NOUN
ejpam-3048	290	90	)	)	PUNCT
ejpam-3048	290	91	,	,	PUNCT
ejpam-3048	290	92	ϕ(a),m))d[g(t	ϕ(a),m))d[g(t	NUM
ejpam-3048	290	93	)	)	PUNCT
ejpam-3048	290	94	]	]	PUNCT
ejpam-3048	291	1	+	+	CCONJ
ejpam-3048	291	2	ηα+2(ϕ(x	ηα+2(ϕ(x	X
ejpam-3048	291	3	)	)	PUNCT
ejpam-3048	291	4	,	,	PUNCT
ejpam-3048	291	5	ϕ(b),m	ϕ(b),m	ADJ
ejpam-3048	291	6	)	)	PUNCT
ejpam-3048	291	7	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	291	8	)	)	PUNCT
ejpam-3048	291	9	,	,	PUNCT
ejpam-3048	291	10	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	291	11	)	)	PUNCT
ejpam-3048	291	12	×	×	NOUN
ejpam-3048	291	13	∫	∫	NOUN
ejpam-3048	291	14	1	1	NUM
ejpam-3048	291	15	0	0	NUM
ejpam-3048	291	16	(	(	PUNCT
ejpam-3048	291	17	β(n+	β(n+	PROPN
ejpam-3048	291	18	2	2	NUM
ejpam-3048	291	19	,	,	PUNCT
ejpam-3048	291	20	α−	α−	ADP
ejpam-3048	291	21	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	291	22	2	2	NUM
ejpam-3048	291	23	,	,	PUNCT
ejpam-3048	291	24	α−	α−	ADP
ejpam-3048	291	25	n))f	n))f	ADJ
ejpam-3048	291	26	′′(mϕ(b	′′(mϕ(b	PROPN
ejpam-3048	291	27	)	)	PUNCT
ejpam-3048	292	1	+	+	NUM
ejpam-3048	293	1	g(t)η(ϕ(x	g(t)η(ϕ(x	NOUN
ejpam-3048	293	2	)	)	PUNCT
ejpam-3048	293	3	,	,	PUNCT
ejpam-3048	293	4	ϕ(b),m))d[g(t	ϕ(b),m))d[g(t	PROPN
ejpam-3048	293	5	)	)	PUNCT
ejpam-3048	293	6	]	]	PUNCT
ejpam-3048	293	7	.	.	PUNCT
ejpam-3048	294	1	(	(	PUNCT
ejpam-3048	294	2	5	5	X
ejpam-3048	294	3	)	)	PUNCT
ejpam-3048	294	4	proof	proof	NOUN
ejpam-3048	294	5	.	.	PUNCT
ejpam-3048	295	1	a	a	DET
ejpam-3048	295	2	simple	simple	ADJ
ejpam-3048	295	3	proof	proof	NOUN
ejpam-3048	295	4	of	of	ADP
ejpam-3048	295	5	the	the	DET
ejpam-3048	295	6	equality	equality	NOUN
ejpam-3048	295	7	can	can	AUX
ejpam-3048	295	8	be	be	AUX
ejpam-3048	295	9	done	do	VERB
ejpam-3048	295	10	by	by	ADP
ejpam-3048	295	11	performing	perform	VERB
ejpam-3048	295	12	two	two	NUM
ejpam-3048	295	13	integration	integration	NOUN
ejpam-3048	295	14	by	by	ADP
ejpam-3048	295	15	parts	part	NOUN
ejpam-3048	295	16	in	in	ADP
ejpam-3048	295	17	the	the	DET
ejpam-3048	295	18	integrals	integral	NOUN
ejpam-3048	295	19	from	from	ADP
ejpam-3048	295	20	the	the	DET
ejpam-3048	295	21	right	right	ADJ
ejpam-3048	295	22	side	side	NOUN
ejpam-3048	295	23	,	,	PUNCT
ejpam-3048	295	24	changing	change	VERB
ejpam-3048	295	25	the	the	DET
ejpam-3048	295	26	variable	variable	NOUN
ejpam-3048	295	27	and	and	CCONJ
ejpam-3048	295	28	using	use	VERB
ejpam-3048	295	29	definition	definition	NOUN
ejpam-3048	295	30	5	5	NUM
ejpam-3048	295	31	.	.	PUNCT
ejpam-3048	296	1	the	the	DET
ejpam-3048	296	2	details	detail	NOUN
ejpam-3048	296	3	are	be	AUX
ejpam-3048	296	4	left	leave	VERB
ejpam-3048	296	5	to	to	ADP
ejpam-3048	296	6	the	the	DET
ejpam-3048	296	7	interested	interested	ADJ
ejpam-3048	296	8	reader	reader	NOUN
ejpam-3048	296	9	.	.	PUNCT
ejpam-3048	297	1	throughout	throughout	ADP
ejpam-3048	297	2	this	this	DET
ejpam-3048	297	3	paper	paper	NOUN
ejpam-3048	297	4	we	we	PRON
ejpam-3048	297	5	denote	denote	VERB
ejpam-3048	297	6	if	if	SCONJ
ejpam-3048	297	7	,	,	PUNCT
ejpam-3048	297	8	g	g	NOUN
ejpam-3048	297	9	,	,	PUNCT
ejpam-3048	297	10	η,ϕ(x;α	η,ϕ(x;α	ADV
ejpam-3048	297	11	,	,	PUNCT
ejpam-3048	297	12	n	n	CCONJ
ejpam-3048	297	13	,	,	PUNCT
ejpam-3048	297	14	m	m	PROPN
ejpam-3048	297	15	,	,	PUNCT
ejpam-3048	297	16	a	a	DET
ejpam-3048	297	17	,	,	PUNCT
ejpam-3048	297	18	b	b	NOUN
ejpam-3048	297	19	)	)	PUNCT
ejpam-3048	297	20	=	=	SYM
ejpam-3048	297	21	ηα+2(ϕ(x	ηα+2(ϕ(x	X
ejpam-3048	297	22	)	)	PUNCT
ejpam-3048	297	23	,	,	PUNCT
ejpam-3048	297	24	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	297	25	)	)	PUNCT
ejpam-3048	297	26	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	297	27	)	)	PUNCT
ejpam-3048	297	28	,	,	PUNCT
ejpam-3048	297	29	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	297	30	)	)	PUNCT
ejpam-3048	297	31	×	×	NOUN
ejpam-3048	297	32	∫	∫	NOUN
ejpam-3048	297	33	1	1	NUM
ejpam-3048	297	34	0	0	NUM
ejpam-3048	297	35	(	(	PUNCT
ejpam-3048	297	36	β(n+	β(n+	PROPN
ejpam-3048	297	37	2	2	NUM
ejpam-3048	297	38	,	,	PUNCT
ejpam-3048	297	39	α−	α−	ADP
ejpam-3048	297	40	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	297	41	2	2	NUM
ejpam-3048	297	42	,	,	PUNCT
ejpam-3048	297	43	α−	α−	ADP
ejpam-3048	297	44	n))f	n))f	ADJ
ejpam-3048	297	45	′′(mϕ(a	′′(mϕ(a	PROPN
ejpam-3048	297	46	)	)	PUNCT
ejpam-3048	297	47	+	+	NUM
ejpam-3048	297	48	g(t)η(ϕ(x	g(t)η(ϕ(x	NOUN
ejpam-3048	297	49	)	)	PUNCT
ejpam-3048	297	50	,	,	PUNCT
ejpam-3048	297	51	ϕ(a),m))d[g(t	ϕ(a),m))d[g(t	NUM
ejpam-3048	297	52	)	)	PUNCT
ejpam-3048	297	53	]	]	PUNCT
ejpam-3048	298	1	+	+	CCONJ
ejpam-3048	298	2	ηα+2(ϕ(x	ηα+2(ϕ(x	X
ejpam-3048	298	3	)	)	PUNCT
ejpam-3048	298	4	,	,	PUNCT
ejpam-3048	298	5	ϕ(b),m	ϕ(b),m	ADJ
ejpam-3048	298	6	)	)	PUNCT
ejpam-3048	298	7	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	298	8	)	)	PUNCT
ejpam-3048	298	9	,	,	PUNCT
ejpam-3048	298	10	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	298	11	)	)	PUNCT
ejpam-3048	298	12	×	×	NOUN
ejpam-3048	298	13	∫	∫	NOUN
ejpam-3048	298	14	1	1	NUM
ejpam-3048	298	15	0	0	NUM
ejpam-3048	298	16	(	(	PUNCT
ejpam-3048	298	17	β(n+	β(n+	PROPN
ejpam-3048	298	18	2	2	NUM
ejpam-3048	298	19	,	,	PUNCT
ejpam-3048	298	20	α−	α−	ADP
ejpam-3048	298	21	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	298	22	2	2	NUM
ejpam-3048	298	23	,	,	PUNCT
ejpam-3048	298	24	α−	α−	ADP
ejpam-3048	298	25	n))f	n))f	ADJ
ejpam-3048	298	26	′′(mϕ(b	′′(mϕ(b	PROPN
ejpam-3048	298	27	)	)	PUNCT
ejpam-3048	299	1	+	+	NUM
ejpam-3048	300	1	g(t)η(ϕ(x	g(t)η(ϕ(x	NOUN
ejpam-3048	300	2	)	)	PUNCT
ejpam-3048	300	3	,	,	PUNCT
ejpam-3048	300	4	ϕ(b),m))d[g(t	ϕ(b),m))d[g(t	PROPN
ejpam-3048	300	5	)	)	PUNCT
ejpam-3048	300	6	]	]	PUNCT
ejpam-3048	300	7	.	.	PUNCT
ejpam-3048	301	1	(	(	PUNCT
ejpam-3048	301	2	6	6	X
ejpam-3048	301	3	)	)	PUNCT
ejpam-3048	301	4	using	use	VERB
ejpam-3048	301	5	relation	relation	NOUN
ejpam-3048	301	6	(	(	PUNCT
ejpam-3048	301	7	6	6	NUM
ejpam-3048	301	8	)	)	PUNCT
ejpam-3048	301	9	,	,	PUNCT
ejpam-3048	301	10	the	the	DET
ejpam-3048	301	11	following	follow	VERB
ejpam-3048	301	12	results	result	NOUN
ejpam-3048	301	13	can	can	AUX
ejpam-3048	301	14	be	be	AUX
ejpam-3048	301	15	obtained	obtain	VERB
ejpam-3048	301	16	for	for	ADP
ejpam-3048	301	17	the	the	DET
ejpam-3048	301	18	corresponding	corresponding	ADJ
ejpam-3048	301	19	version	version	NOUN
ejpam-3048	301	20	for	for	ADP
ejpam-3048	301	21	power	power	NOUN
ejpam-3048	301	22	of	of	ADP
ejpam-3048	301	23	the	the	DET
ejpam-3048	301	24	second	second	ADJ
ejpam-3048	301	25	derivative	derivative	NOUN
ejpam-3048	301	26	.	.	PUNCT
ejpam-3048	302	1	theorem	theorem	NOUN
ejpam-3048	302	2	5	5	NUM
ejpam-3048	302	3	.	.	PUNCT
ejpam-3048	303	1	let	let	VERB
ejpam-3048	303	2	ϕ	ϕ	NOUN
ejpam-3048	303	3	:	:	PUNCT
ejpam-3048	304	1	i	i	PRON
ejpam-3048	304	2	−→	−→	VERB
ejpam-3048	304	3	k	k	X
ejpam-3048	304	4	be	be	AUX
ejpam-3048	304	5	a	a	DET
ejpam-3048	304	6	continuous	continuous	ADJ
ejpam-3048	304	7	function	function	NOUN
ejpam-3048	304	8	and	and	CCONJ
ejpam-3048	304	9	g	g	NOUN
ejpam-3048	304	10	:	:	PUNCT
ejpam-3048	305	1	[	[	X
ejpam-3048	305	2	0	0	NUM
ejpam-3048	305	3	,	,	PUNCT
ejpam-3048	305	4	1	1	NUM
ejpam-3048	305	5	]	]	X
ejpam-3048	305	6	−→	−→	NOUN
ejpam-3048	305	7	(	(	PUNCT
ejpam-3048	305	8	0	0	NUM
ejpam-3048	305	9	,	,	PUNCT
ejpam-3048	305	10	1	1	NUM
ejpam-3048	305	11	)	)	PUNCT
ejpam-3048	305	12	is	be	AUX
ejpam-3048	305	13	a	a	DET
ejpam-3048	305	14	differentiable	differentiable	ADJ
ejpam-3048	305	15	function	function	NOUN
ejpam-3048	305	16	.	.	PUNCT
ejpam-3048	306	1	suppose	suppose	VERB
ejpam-3048	306	2	k	k	PROPN
ejpam-3048	306	3	⊆	⊆	NUM
ejpam-3048	306	4	r	r	NOUN
ejpam-3048	306	5	be	be	VERB
ejpam-3048	306	6	an	an	DET
ejpam-3048	306	7	open	open	ADJ
ejpam-3048	306	8	m	m	NOUN
ejpam-3048	306	9	-	-	PUNCT
ejpam-3048	306	10	invex	invex	NOUN
ejpam-3048	306	11	subset	subset	VERB
ejpam-3048	306	12	with	with	ADP
ejpam-3048	306	13	respect	respect	NOUN
ejpam-3048	306	14	to	to	ADP
ejpam-3048	306	15	η	η	PROPN
ejpam-3048	306	16	:	:	PUNCT
ejpam-3048	306	17	k	k	PROPN
ejpam-3048	306	18	×	×	PROPN
ejpam-3048	306	19	k×(0	k×(0	PROPN
ejpam-3048	306	20	,	,	PUNCT
ejpam-3048	306	21	1	1	NUM
ejpam-3048	306	22	]	]	X
ejpam-3048	306	23	−→	−→	ADJ
ejpam-3048	306	24	r	r	NOUN
ejpam-3048	306	25	for	for	ADP
ejpam-3048	306	26	any	any	DET
ejpam-3048	306	27	fixed	fix	VERB
ejpam-3048	306	28	m	m	NOUN
ejpam-3048	306	29	∈	∈	NOUN
ejpam-3048	306	30	(	(	PUNCT
ejpam-3048	306	31	0	0	NUM
ejpam-3048	306	32	,	,	PUNCT
ejpam-3048	306	33	1	1	NUM
ejpam-3048	306	34	]	]	PUNCT
ejpam-3048	306	35	and	and	CCONJ
ejpam-3048	306	36	let	let	VERB
ejpam-3048	306	37	mϕ(a	mϕ(a	NOUN
ejpam-3048	306	38	)	)	PUNCT
ejpam-3048	306	39	<	<	X
ejpam-3048	306	40	mϕ(a)+η(ϕ(b	mϕ(a)+η(ϕ(b	PROPN
ejpam-3048	306	41	)	)	PUNCT
ejpam-3048	306	42	,	,	PUNCT
ejpam-3048	306	43	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	306	44	)	)	PUNCT
ejpam-3048	306	45	.	.	PUNCT
ejpam-3048	307	1	assume	assume	VERB
ejpam-3048	307	2	that	that	SCONJ
ejpam-3048	307	3	f	f	X
ejpam-3048	307	4	:	:	PUNCT
ejpam-3048	308	1	k	k	X
ejpam-3048	308	2	=	=	PUNCT
ejpam-3048	309	1	[	[	X
ejpam-3048	309	2	mϕ(a),mϕ(a)+η(ϕ(b	mϕ(a),mϕ(a)+η(ϕ(b	X
ejpam-3048	309	3	)	)	PUNCT
ejpam-3048	309	4	,	,	PUNCT
ejpam-3048	309	5	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	309	6	)	)	PUNCT
ejpam-3048	309	7	]	]	PUNCT
ejpam-3048	309	8	−→	−→	NOUN
ejpam-3048	309	9	(	(	PUNCT
ejpam-3048	309	10	0,∞	0,∞	NOUN
ejpam-3048	309	11	)	)	PUNCT
ejpam-3048	309	12	be	be	VERB
ejpam-3048	309	13	a	a	DET
ejpam-3048	309	14	twice	twice	ADV
ejpam-3048	309	15	differentiable	differentiable	ADJ
ejpam-3048	309	16	function	function	NOUN
ejpam-3048	309	17	a.	a.	NOUN
ejpam-3048	309	18	fundo	fundo	PROPN
ejpam-3048	309	19	,	,	PUNCT
ejpam-3048	309	20	a.	a.	NOUN
ejpam-3048	309	21	kashuri	kashuri	PROPN
ejpam-3048	309	22	,	,	PUNCT
ejpam-3048	309	23	m.	m.	NOUN
ejpam-3048	309	24	ramosaço	ramosaço	PROPN
ejpam-3048	309	25	,	,	PUNCT
ejpam-3048	309	26	r.	r.	PROPN
ejpam-3048	309	27	liko	liko	PROPN
ejpam-3048	309	28	/	/	SYM
ejpam-3048	309	29	eur	eur	PROPN
ejpam-3048	309	30	.	.	PUNCT
ejpam-3048	310	1	j.	j.	PROPN
ejpam-3048	310	2	pure	pure	PROPN
ejpam-3048	310	3	appl	appl	PROPN
ejpam-3048	310	4	.	.	PROPN
ejpam-3048	310	5	math	math	PROPN
ejpam-3048	310	6	,	,	PUNCT
ejpam-3048	310	7	10	10	NUM
ejpam-3048	310	8	(	(	PUNCT
ejpam-3048	310	9	4	4	NUM
ejpam-3048	310	10	)	)	PUNCT
ejpam-3048	310	11	(	(	PUNCT
ejpam-3048	310	12	2017	2017	NUM
ejpam-3048	310	13	)	)	PUNCT
ejpam-3048	310	14	,	,	PUNCT
ejpam-3048	310	15	809	809	NUM
ejpam-3048	310	16	-	-	SYM
ejpam-3048	310	17	834	834	NUM
ejpam-3048	310	18	820	820	NUM
ejpam-3048	310	19	on	on	ADP
ejpam-3048	310	20	k	k	PROPN
ejpam-3048	310	21	◦	◦	NOUN
ejpam-3048	310	22	.	.	PUNCT
ejpam-3048	311	1	if	if	SCONJ
ejpam-3048	311	2	f	f	PROPN
ejpam-3048	311	3	′′q	′′q	VERB
ejpam-3048	311	4	is	be	AUX
ejpam-3048	311	5	a	a	DET
ejpam-3048	311	6	nonnegative	nonnegative	ADJ
ejpam-3048	311	7	mt(r;g	mt(r;g	NOUN
ejpam-3048	311	8	,	,	PUNCT
ejpam-3048	311	9	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	311	10	function	function	NOUN
ejpam-3048	311	11	on	on	ADP
ejpam-3048	311	12	k	k	PROPN
ejpam-3048	311	13	,	,	PUNCT
ejpam-3048	311	14	q	q	X
ejpam-3048	311	15	>	>	X
ejpam-3048	311	16	1	1	NUM
ejpam-3048	311	17	,	,	PUNCT
ejpam-3048	311	18	p−1	p−1	PROPN
ejpam-3048	311	19	+	+	CCONJ
ejpam-3048	311	20	q−1	q−1	PROPN
ejpam-3048	311	21	=	=	PUNCT
ejpam-3048	311	22	1	1	NUM
ejpam-3048	311	23	,	,	PUNCT
ejpam-3048	311	24	then	then	ADV
ejpam-3048	311	25	for	for	ADP
ejpam-3048	311	26	α	α	PROPN
ejpam-3048	311	27	>	>	X
ejpam-3048	311	28	0	0	PUNCT
ejpam-3048	312	1	and	and	CCONJ
ejpam-3048	312	2	0	0	NUM
ejpam-3048	312	3	<	<	X
ejpam-3048	312	4	r	r	NOUN
ejpam-3048	312	5	≤	≤	NUM
ejpam-3048	312	6	1	1	NUM
ejpam-3048	312	7	,	,	PUNCT
ejpam-3048	312	8	we	we	PRON
ejpam-3048	312	9	have	have	VERB
ejpam-3048	312	10	|if	|if	NUM
ejpam-3048	312	11	,	,	PUNCT
ejpam-3048	312	12	g	g	NOUN
ejpam-3048	312	13	,	,	PUNCT
ejpam-3048	312	14	η,ϕ(x;α	η,ϕ(x;α	ADV
ejpam-3048	312	15	,	,	PUNCT
ejpam-3048	312	16	n	n	CCONJ
ejpam-3048	312	17	,	,	PUNCT
ejpam-3048	312	18	m	m	PROPN
ejpam-3048	312	19	,	,	PUNCT
ejpam-3048	312	20	a	a	PRON
ejpam-3048	312	21	,	,	PUNCT
ejpam-3048	312	22	b)|	b)|	ADJ
ejpam-3048	312	23	≤	≤	NOUN
ejpam-3048	312	24	(	(	PUNCT
ejpam-3048	312	25	m	m	NOUN
ejpam-3048	312	26	2	2	NUM
ejpam-3048	312	27	)	)	PUNCT
ejpam-3048	312	28	1	1	NUM
ejpam-3048	312	29	rq	rq	VERB
ejpam-3048	312	30	δ	δ	PROPN
ejpam-3048	312	31	1	1	NUM
ejpam-3048	312	32	p	p	X
ejpam-3048	312	33	(	(	PUNCT
ejpam-3048	312	34	g(t	g(t	PROPN
ejpam-3048	312	35	)	)	PUNCT
ejpam-3048	312	36	;	;	PUNCT
ejpam-3048	313	1	p	p	X
ejpam-3048	313	2	,	,	PUNCT
ejpam-3048	313	3	α	α	NOUN
ejpam-3048	313	4	,	,	PUNCT
ejpam-3048	313	5	n	n	CCONJ
ejpam-3048	313	6	)	)	PUNCT
ejpam-3048	313	7	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	313	8	)	)	PUNCT
ejpam-3048	313	9	,	,	PUNCT
ejpam-3048	313	10	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	313	11	×	×	NOUN
ejpam-3048	313	12	{	{	PUNCT
ejpam-3048	313	13	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	313	14	)	)	PUNCT
ejpam-3048	313	15	,	,	PUNCT
ejpam-3048	313	16	ϕ(a),m)|α+2	ϕ(a),m)|α+2	VERB
ejpam-3048	313	17	[	[	PUNCT
ejpam-3048	313	18	br	br	NOUN
ejpam-3048	313	19	g(1	g(1	NOUN
ejpam-3048	313	20	)	)	PUNCT
ejpam-3048	313	21	(	(	PUNCT
ejpam-3048	313	22	1−	1−	NUM
ejpam-3048	313	23	1	1	NUM
ejpam-3048	313	24	2r	2r	NUM
ejpam-3048	313	25	,	,	PUNCT
ejpam-3048	313	26	1	1	NUM
ejpam-3048	313	27	+	+	SYM
ejpam-3048	313	28	1	1	NUM
ejpam-3048	313	29	2r	2r	NUM
ejpam-3048	313	30	)	)	PUNCT
ejpam-3048	314	1	f	f	PROPN
ejpam-3048	315	1	′′(ϕ(a))rq	′′(ϕ(a))rq	PROPN
ejpam-3048	315	2	+	+	NOUN
ejpam-3048	315	3	br	br	NOUN
ejpam-3048	315	4	g(1	g(1	NOUN
ejpam-3048	315	5	)	)	PUNCT
ejpam-3048	315	6	(	(	PUNCT
ejpam-3048	315	7	1	1	NUM
ejpam-3048	315	8	+	+	SYM
ejpam-3048	315	9	1	1	NUM
ejpam-3048	315	10	2r	2r	NUM
ejpam-3048	315	11	,	,	PUNCT
ejpam-3048	315	12	1−	1−	NUM
ejpam-3048	315	13	1	1	NUM
ejpam-3048	315	14	2r	2r	NUM
ejpam-3048	315	15	)	)	PUNCT
ejpam-3048	316	1	f	f	NOUN
ejpam-3048	316	2	′′(ϕ(x))rq	′′(ϕ(x))rq	NUM
ejpam-3048	317	1	]	]	PUNCT
ejpam-3048	317	2	1	1	NUM
ejpam-3048	317	3	rq	rq	X
ejpam-3048	317	4	+	+	PROPN
ejpam-3048	317	5	|η(ϕ(x	|η(ϕ(x	X
ejpam-3048	317	6	)	)	PUNCT
ejpam-3048	317	7	,	,	PUNCT
ejpam-3048	317	8	ϕ(b),m)|α+2	ϕ(b),m)|α+2	NUM
ejpam-3048	317	9	[	[	PUNCT
ejpam-3048	317	10	br	br	NOUN
ejpam-3048	317	11	g(1	g(1	NOUN
ejpam-3048	317	12	)	)	PUNCT
ejpam-3048	317	13	(	(	PUNCT
ejpam-3048	317	14	1−	1−	NUM
ejpam-3048	317	15	1	1	NUM
ejpam-3048	317	16	2r	2r	NUM
ejpam-3048	317	17	,	,	PUNCT
ejpam-3048	317	18	1	1	NUM
ejpam-3048	317	19	+	+	SYM
ejpam-3048	317	20	1	1	NUM
ejpam-3048	317	21	2r	2r	NUM
ejpam-3048	317	22	)	)	PUNCT
ejpam-3048	318	1	f	f	X
ejpam-3048	319	1	′′(ϕ(b))rq	′′(ϕ(b))rq	NOUN
ejpam-3048	320	1	+	+	NOUN
ejpam-3048	320	2	br	br	NOUN
ejpam-3048	320	3	g(1	g(1	NOUN
ejpam-3048	320	4	)	)	PUNCT
ejpam-3048	320	5	(	(	PUNCT
ejpam-3048	320	6	1	1	NUM
ejpam-3048	320	7	+	+	SYM
ejpam-3048	320	8	1	1	NUM
ejpam-3048	320	9	2r	2r	NUM
ejpam-3048	320	10	,	,	PUNCT
ejpam-3048	320	11	1−	1−	NUM
ejpam-3048	320	12	1	1	NUM
ejpam-3048	320	13	2r	2r	NUM
ejpam-3048	320	14	)	)	PUNCT
ejpam-3048	321	1	f	f	NOUN
ejpam-3048	321	2	′′(ϕ(x))rq	′′(ϕ(x))rq	PROPN
ejpam-3048	321	3	]	]	PUNCT
ejpam-3048	321	4	1	1	NUM
ejpam-3048	321	5	rq	rq	NOUN
ejpam-3048	321	6	}	}	PUNCT
ejpam-3048	321	7	,	,	PUNCT
ejpam-3048	321	8	(	(	PUNCT
ejpam-3048	321	9	7	7	X
ejpam-3048	321	10	)	)	PUNCT
ejpam-3048	321	11	where	where	SCONJ
ejpam-3048	321	12	δ(g(t	δ(g(t	NOUN
ejpam-3048	321	13	)	)	PUNCT
ejpam-3048	321	14	;	;	PUNCT
ejpam-3048	322	1	p	p	X
ejpam-3048	322	2	,	,	PUNCT
ejpam-3048	322	3	α	α	NOUN
ejpam-3048	322	4	,	,	PUNCT
ejpam-3048	322	5	n	n	CCONJ
ejpam-3048	322	6	)	)	PUNCT
ejpam-3048	322	7	=	=	SYM
ejpam-3048	322	8	∫	∫	PROPN
ejpam-3048	322	9	1	1	NUM
ejpam-3048	322	10	0	0	NUM
ejpam-3048	322	11	[	[	PUNCT
ejpam-3048	322	12	β(n+	β(n+	NUM
ejpam-3048	322	13	2	2	NUM
ejpam-3048	322	14	,	,	PUNCT
ejpam-3048	322	15	α−	α−	ADP
ejpam-3048	322	16	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	322	17	2	2	NUM
ejpam-3048	322	18	,	,	PUNCT
ejpam-3048	322	19	α−	α−	ADP
ejpam-3048	322	20	n	n	CCONJ
ejpam-3048	322	21	)	)	PUNCT
ejpam-3048	322	22	]	]	PUNCT
ejpam-3048	322	23	p	p	X
ejpam-3048	322	24	d[g(t	d[g(t	PROPN
ejpam-3048	322	25	)	)	PUNCT
ejpam-3048	322	26	]	]	PUNCT
ejpam-3048	322	27	.	.	PUNCT
ejpam-3048	323	1	proof	proof	NOUN
ejpam-3048	323	2	.	.	PUNCT
ejpam-3048	324	1	suppose	suppose	VERB
ejpam-3048	324	2	that	that	SCONJ
ejpam-3048	324	3	q	q	PUNCT
ejpam-3048	324	4	>	>	X
ejpam-3048	324	5	1	1	NUM
ejpam-3048	324	6	and	and	CCONJ
ejpam-3048	324	7	0	0	NUM
ejpam-3048	325	1	<	<	X
ejpam-3048	325	2	r	r	NOUN
ejpam-3048	325	3	≤	≤	NUM
ejpam-3048	325	4	1	1	NUM
ejpam-3048	325	5	.	.	PUNCT
ejpam-3048	325	6	using	use	VERB
ejpam-3048	325	7	relation	relation	NOUN
ejpam-3048	325	8	(	(	PUNCT
ejpam-3048	325	9	6	6	NUM
ejpam-3048	325	10	)	)	PUNCT
ejpam-3048	325	11	,	,	PUNCT
ejpam-3048	325	12	hölder	hölder	NOUN
ejpam-3048	325	13	inequality	inequality	NOUN
ejpam-3048	325	14	,	,	PUNCT
ejpam-3048	325	15	the	the	DET
ejpam-3048	325	16	fact	fact	NOUN
ejpam-3048	325	17	that	that	SCONJ
ejpam-3048	325	18	f	f	PROPN
ejpam-3048	325	19	′′q	′′q	NOUN
ejpam-3048	325	20	is	be	AUX
ejpam-3048	325	21	a	a	DET
ejpam-3048	325	22	nonnegative	nonnegative	ADJ
ejpam-3048	325	23	mt(r;g	mt(r;g	NOUN
ejpam-3048	325	24	,	,	PUNCT
ejpam-3048	325	25	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	325	26	function	function	NOUN
ejpam-3048	325	27	on	on	ADP
ejpam-3048	325	28	an	an	DET
ejpam-3048	325	29	open	open	ADJ
ejpam-3048	325	30	m	m	NOUN
ejpam-3048	325	31	-	-	PUNCT
ejpam-3048	325	32	invex	invex	NOUN
ejpam-3048	325	33	set	set	VERB
ejpam-3048	325	34	k	k	PROPN
ejpam-3048	325	35	◦	◦	NOUN
ejpam-3048	325	36	,	,	PUNCT
ejpam-3048	325	37	combining	combine	VERB
ejpam-3048	325	38	with	with	ADP
ejpam-3048	325	39	minkowski	minkowski	ADJ
ejpam-3048	325	40	inequality	inequality	NOUN
ejpam-3048	325	41	for	for	ADP
ejpam-3048	325	42	all	all	DET
ejpam-3048	325	43	t	t	NOUN
ejpam-3048	325	44	∈	∈	PROPN
ejpam-3048	326	1	[	[	X
ejpam-3048	326	2	0	0	NUM
ejpam-3048	326	3	,	,	PUNCT
ejpam-3048	326	4	1	1	NUM
ejpam-3048	326	5	]	]	PUNCT
ejpam-3048	326	6	and	and	CCONJ
ejpam-3048	326	7	for	for	ADP
ejpam-3048	326	8	any	any	DET
ejpam-3048	326	9	fixed	fix	VERB
ejpam-3048	326	10	m	m	NOUN
ejpam-3048	326	11	∈	∈	NOUN
ejpam-3048	326	12	(	(	PUNCT
ejpam-3048	326	13	0	0	NUM
ejpam-3048	326	14	,	,	PUNCT
ejpam-3048	326	15	1	1	NUM
ejpam-3048	326	16	]	]	PUNCT
ejpam-3048	326	17	and	and	CCONJ
ejpam-3048	326	18	taking	take	VERB
ejpam-3048	326	19	the	the	DET
ejpam-3048	326	20	modulus	modulus	NOUN
ejpam-3048	326	21	,	,	PUNCT
ejpam-3048	326	22	we	we	PRON
ejpam-3048	326	23	have	have	VERB
ejpam-3048	326	24	|if	|if	NUM
ejpam-3048	326	25	,	,	PUNCT
ejpam-3048	326	26	g	g	NOUN
ejpam-3048	326	27	,	,	PUNCT
ejpam-3048	326	28	η,ϕ(x;α	η,ϕ(x;α	ADV
ejpam-3048	326	29	,	,	PUNCT
ejpam-3048	326	30	n	n	CCONJ
ejpam-3048	326	31	,	,	PUNCT
ejpam-3048	326	32	m	m	PROPN
ejpam-3048	326	33	,	,	PUNCT
ejpam-3048	326	34	a	a	PRON
ejpam-3048	326	35	,	,	PUNCT
ejpam-3048	326	36	b)|	b)|	ADJ
ejpam-3048	326	37	≤	≤	ADJ
ejpam-3048	326	38	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	326	39	)	)	PUNCT
ejpam-3048	326	40	,	,	PUNCT
ejpam-3048	326	41	ϕ(a),m)|α+2	ϕ(a),m)|α+2	PROPN
ejpam-3048	326	42	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	326	43	)	)	PUNCT
ejpam-3048	326	44	,	,	PUNCT
ejpam-3048	327	1	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	327	2	×	×	NOUN
ejpam-3048	327	3	∫	∫	NOUN
ejpam-3048	327	4	1	1	NUM
ejpam-3048	327	5	0	0	NUM
ejpam-3048	327	6	(	(	PUNCT
ejpam-3048	327	7	β(n+	β(n+	NUM
ejpam-3048	327	8	2	2	NUM
ejpam-3048	327	9	,	,	PUNCT
ejpam-3048	327	10	α−	α−	ADP
ejpam-3048	327	11	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	327	12	2	2	NUM
ejpam-3048	327	13	,	,	PUNCT
ejpam-3048	327	14	α−	α−	ADP
ejpam-3048	327	15	n	n	CCONJ
ejpam-3048	327	16	)	)	PUNCT
ejpam-3048	327	17	)	)	PUNCT
ejpam-3048	328	1	f	f	PROPN
ejpam-3048	328	2	′′(mϕ(a	′′(mϕ(a	PROPN
ejpam-3048	328	3	)	)	PUNCT
ejpam-3048	328	4	+	+	NUM
ejpam-3048	328	5	g(t)η(ϕ(x	g(t)η(ϕ(x	NOUN
ejpam-3048	328	6	)	)	PUNCT
ejpam-3048	328	7	,	,	PUNCT
ejpam-3048	328	8	ϕ(a),m))d[g(t	ϕ(a),m))d[g(t	NUM
ejpam-3048	328	9	)	)	PUNCT
ejpam-3048	328	10	]	]	PUNCT
ejpam-3048	329	1	+	+	CCONJ
ejpam-3048	329	2	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	329	3	)	)	PUNCT
ejpam-3048	329	4	,	,	PUNCT
ejpam-3048	329	5	ϕ(b),m)|α+2	ϕ(b),m)|α+2	NUM
ejpam-3048	329	6	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	329	7	)	)	PUNCT
ejpam-3048	329	8	,	,	PUNCT
ejpam-3048	330	1	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	330	2	×	×	NOUN
ejpam-3048	330	3	∫	∫	NOUN
ejpam-3048	330	4	1	1	NUM
ejpam-3048	330	5	0	0	NUM
ejpam-3048	330	6	(	(	PUNCT
ejpam-3048	330	7	β(n+	β(n+	NUM
ejpam-3048	330	8	2	2	NUM
ejpam-3048	330	9	,	,	PUNCT
ejpam-3048	330	10	α−	α−	ADP
ejpam-3048	330	11	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	330	12	2	2	NUM
ejpam-3048	330	13	,	,	PUNCT
ejpam-3048	330	14	α−	α−	ADP
ejpam-3048	330	15	n	n	CCONJ
ejpam-3048	330	16	)	)	PUNCT
ejpam-3048	330	17	)	)	PUNCT
ejpam-3048	331	1	f	f	PROPN
ejpam-3048	331	2	′′(mϕ(b	′′(mϕ(b	PROPN
ejpam-3048	331	3	)	)	PUNCT
ejpam-3048	331	4	+	+	NUM
ejpam-3048	331	5	g(t)η(ϕ(x	g(t)η(ϕ(x	NOUN
ejpam-3048	331	6	)	)	PUNCT
ejpam-3048	331	7	,	,	PUNCT
ejpam-3048	331	8	ϕ(b),m))d[g(t	ϕ(b),m))d[g(t	PROPN
ejpam-3048	331	9	)	)	PUNCT
ejpam-3048	331	10	]	]	PUNCT
ejpam-3048	332	1	≤	≤	NUM
ejpam-3048	332	2	|η(ϕ(x	|η(ϕ(x	NUM
ejpam-3048	332	3	)	)	PUNCT
ejpam-3048	332	4	,	,	PUNCT
ejpam-3048	332	5	ϕ(a),m)|α+2	ϕ(a),m)|α+2	PROPN
ejpam-3048	332	6	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	332	7	)	)	PUNCT
ejpam-3048	332	8	,	,	PUNCT
ejpam-3048	332	9	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	332	10	(	(	PUNCT
ejpam-3048	332	11	∫	∫	PROPN
ejpam-3048	332	12	1	1	NUM
ejpam-3048	332	13	0	0	NUM
ejpam-3048	332	14	[	[	PUNCT
ejpam-3048	332	15	β(n+	β(n+	NUM
ejpam-3048	332	16	2	2	NUM
ejpam-3048	332	17	,	,	PUNCT
ejpam-3048	332	18	α−	α−	ADP
ejpam-3048	332	19	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	332	20	2	2	NUM
ejpam-3048	332	21	,	,	PUNCT
ejpam-3048	332	22	α−	α−	ADP
ejpam-3048	332	23	n	n	CCONJ
ejpam-3048	332	24	)	)	PUNCT
ejpam-3048	332	25	]	]	PUNCT
ejpam-3048	332	26	p	p	X
ejpam-3048	332	27	d[g(t	d[g(t	PROPN
ejpam-3048	332	28	)	)	PUNCT
ejpam-3048	332	29	]	]	PUNCT
ejpam-3048	332	30	)	)	PUNCT
ejpam-3048	332	31	1	1	NUM
ejpam-3048	332	32	p	p	NOUN
ejpam-3048	332	33	×	×	NOUN
ejpam-3048	332	34	(	(	PUNCT
ejpam-3048	332	35	∫	∫	PROPN
ejpam-3048	332	36	1	1	NUM
ejpam-3048	332	37	0	0	NUM
ejpam-3048	332	38	f	f	PROPN
ejpam-3048	332	39	′′(mϕ(a	′′(mϕ(a	PROPN
ejpam-3048	332	40	)	)	PUNCT
ejpam-3048	332	41	+	+	NUM
ejpam-3048	332	42	g(t)η(ϕ(x	g(t)η(ϕ(x	NOUN
ejpam-3048	332	43	)	)	PUNCT
ejpam-3048	332	44	,	,	PUNCT
ejpam-3048	332	45	ϕ(a),m))qd[g(t	ϕ(a),m))qd[g(t	PROPN
ejpam-3048	332	46	)	)	PUNCT
ejpam-3048	332	47	]	]	PUNCT
ejpam-3048	332	48	)	)	PUNCT
ejpam-3048	333	1	1	1	NUM
ejpam-3048	333	2	q	q	NOUN
ejpam-3048	333	3	+	+	CCONJ
ejpam-3048	333	4	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	333	5	)	)	PUNCT
ejpam-3048	333	6	,	,	PUNCT
ejpam-3048	333	7	ϕ(b),m)|α+2	ϕ(b),m)|α+2	NUM
ejpam-3048	333	8	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	333	9	)	)	PUNCT
ejpam-3048	333	10	,	,	PUNCT
ejpam-3048	333	11	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	333	12	(	(	PUNCT
ejpam-3048	333	13	∫	∫	PROPN
ejpam-3048	333	14	1	1	NUM
ejpam-3048	333	15	0	0	NUM
ejpam-3048	333	16	[	[	PUNCT
ejpam-3048	333	17	β(n+	β(n+	NUM
ejpam-3048	333	18	2	2	NUM
ejpam-3048	333	19	,	,	PUNCT
ejpam-3048	333	20	α−	α−	ADP
ejpam-3048	333	21	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	333	22	2	2	NUM
ejpam-3048	333	23	,	,	PUNCT
ejpam-3048	333	24	α−	α−	ADP
ejpam-3048	333	25	n	n	CCONJ
ejpam-3048	333	26	)	)	PUNCT
ejpam-3048	333	27	]	]	PUNCT
ejpam-3048	333	28	p	p	X
ejpam-3048	333	29	d[g(t	d[g(t	PROPN
ejpam-3048	333	30	)	)	PUNCT
ejpam-3048	333	31	]	]	PUNCT
ejpam-3048	333	32	)	)	PUNCT
ejpam-3048	333	33	1	1	NUM
ejpam-3048	333	34	p	p	NOUN
ejpam-3048	333	35	a.	a.	NOUN
ejpam-3048	333	36	fundo	fundo	NOUN
ejpam-3048	333	37	,	,	PUNCT
ejpam-3048	333	38	a.	a.	NOUN
ejpam-3048	333	39	kashuri	kashuri	PROPN
ejpam-3048	333	40	,	,	PUNCT
ejpam-3048	333	41	m.	m.	NOUN
ejpam-3048	333	42	ramosaço	ramosaço	PROPN
ejpam-3048	333	43	,	,	PUNCT
ejpam-3048	333	44	r.	r.	PROPN
ejpam-3048	333	45	liko	liko	PROPN
ejpam-3048	333	46	/	/	SYM
ejpam-3048	333	47	eur	eur	PROPN
ejpam-3048	333	48	.	.	PUNCT
ejpam-3048	334	1	j.	j.	PROPN
ejpam-3048	334	2	pure	pure	PROPN
ejpam-3048	334	3	appl	appl	PROPN
ejpam-3048	334	4	.	.	PROPN
ejpam-3048	334	5	math	math	PROPN
ejpam-3048	334	6	,	,	PUNCT
ejpam-3048	334	7	10	10	NUM
ejpam-3048	334	8	(	(	PUNCT
ejpam-3048	334	9	4	4	NUM
ejpam-3048	334	10	)	)	PUNCT
ejpam-3048	334	11	(	(	PUNCT
ejpam-3048	334	12	2017	2017	NUM
ejpam-3048	334	13	)	)	PUNCT
ejpam-3048	334	14	,	,	PUNCT
ejpam-3048	334	15	809	809	NUM
ejpam-3048	334	16	-	-	SYM
ejpam-3048	334	17	834	834	NUM
ejpam-3048	334	18	821	821	NUM
ejpam-3048	334	19	×	×	NOUN
ejpam-3048	334	20	(	(	PUNCT
ejpam-3048	334	21	∫	∫	PROPN
ejpam-3048	334	22	1	1	NUM
ejpam-3048	334	23	0	0	NUM
ejpam-3048	334	24	f	f	PROPN
ejpam-3048	334	25	′′(mϕ(b	′′(mϕ(b	PROPN
ejpam-3048	334	26	)	)	PUNCT
ejpam-3048	334	27	+	+	NUM
ejpam-3048	334	28	g(t)η(ϕ(x	g(t)η(ϕ(x	NOUN
ejpam-3048	334	29	)	)	PUNCT
ejpam-3048	334	30	,	,	PUNCT
ejpam-3048	334	31	ϕ(b),m))qd[g(t	ϕ(b),m))qd[g(t	NOUN
ejpam-3048	334	32	)	)	PUNCT
ejpam-3048	334	33	]	]	PUNCT
ejpam-3048	334	34	)	)	PUNCT
ejpam-3048	334	35	1	1	NUM
ejpam-3048	334	36	q	q	PROPN
ejpam-3048	334	37	≤	≤	PROPN
ejpam-3048	334	38	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	334	39	)	)	PUNCT
ejpam-3048	334	40	,	,	PUNCT
ejpam-3048	334	41	ϕ(a),m)|α+2	ϕ(a),m)|α+2	PROPN
ejpam-3048	334	42	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	334	43	)	)	PUNCT
ejpam-3048	334	44	,	,	PUNCT
ejpam-3048	334	45	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	334	46	(	(	PUNCT
ejpam-3048	334	47	∫	∫	PROPN
ejpam-3048	334	48	1	1	NUM
ejpam-3048	334	49	0	0	NUM
ejpam-3048	334	50	[	[	PUNCT
ejpam-3048	334	51	β(n+	β(n+	NUM
ejpam-3048	334	52	2	2	NUM
ejpam-3048	334	53	,	,	PUNCT
ejpam-3048	334	54	α−	α−	ADP
ejpam-3048	334	55	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	334	56	2	2	NUM
ejpam-3048	334	57	,	,	PUNCT
ejpam-3048	334	58	α−	α−	ADP
ejpam-3048	334	59	n	n	CCONJ
ejpam-3048	334	60	)	)	PUNCT
ejpam-3048	334	61	]	]	PUNCT
ejpam-3048	334	62	p	p	X
ejpam-3048	334	63	d[g(t	d[g(t	PROPN
ejpam-3048	334	64	)	)	PUNCT
ejpam-3048	334	65	]	]	PUNCT
ejpam-3048	334	66	)	)	PUNCT
ejpam-3048	335	1	1	1	NUM
ejpam-3048	335	2	p	p	NOUN
ejpam-3048	335	3	×	×	PROPN
ejpam-3048	335	4	∫	∫	NUM
ejpam-3048	335	5	1	1	NUM
ejpam-3048	335	6	0	0	NUM
ejpam-3048	335	7	[	[	PUNCT
ejpam-3048	335	8	m	m	NOUN
ejpam-3048	335	9	√	√	NOUN
ejpam-3048	335	10	g(t	g(t	PROPN
ejpam-3048	335	11	)	)	PUNCT
ejpam-3048	335	12	2	2	NUM
ejpam-3048	335	13	√	√	NUM
ejpam-3048	335	14	1−	1−	NUM
ejpam-3048	335	15	g(t	g(t	PROPN
ejpam-3048	335	16	)	)	PUNCT
ejpam-3048	335	17	f	f	PROPN
ejpam-3048	336	1	′′(ϕ(x))rq	′′(ϕ(x))rq	PROPN
ejpam-3048	336	2	+	+	NUM
ejpam-3048	336	3	m	m	VERB
ejpam-3048	336	4	√	√	ADJ
ejpam-3048	336	5	1−	1−	NUM
ejpam-3048	336	6	g(t	g(t	PROPN
ejpam-3048	336	7	)	)	PUNCT
ejpam-3048	336	8	2	2	NUM
ejpam-3048	336	9	√	√	PROPN
ejpam-3048	336	10	g(t	g(t	PROPN
ejpam-3048	336	11	)	)	PUNCT
ejpam-3048	336	12	f	f	PROPN
ejpam-3048	337	1	′′(ϕ(a))rq	′′(ϕ(a))rq	PROPN
ejpam-3048	337	2	]	]	SYM
ejpam-3048	337	3	1	1	NUM
ejpam-3048	337	4	r	r	NOUN
ejpam-3048	337	5	d[g(t	d[g(t	PROPN
ejpam-3048	337	6	)	)	PUNCT
ejpam-3048	337	7	]	]	PUNCT
ejpam-3048	338	1			PROPN
ejpam-3048	338	2	1	1	NUM
ejpam-3048	338	3	q	q	NOUN
ejpam-3048	338	4	+	+	CCONJ
ejpam-3048	338	5	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	338	6	)	)	PUNCT
ejpam-3048	338	7	,	,	PUNCT
ejpam-3048	338	8	ϕ(b),m)|α+2	ϕ(b),m)|α+2	NUM
ejpam-3048	338	9	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	338	10	)	)	PUNCT
ejpam-3048	338	11	,	,	PUNCT
ejpam-3048	338	12	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	338	13	(	(	PUNCT
ejpam-3048	338	14	∫	∫	PROPN
ejpam-3048	338	15	1	1	NUM
ejpam-3048	338	16	0	0	NUM
ejpam-3048	338	17	[	[	PUNCT
ejpam-3048	338	18	β(n+	β(n+	NUM
ejpam-3048	338	19	2	2	NUM
ejpam-3048	338	20	,	,	PUNCT
ejpam-3048	338	21	α−	α−	ADP
ejpam-3048	338	22	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	338	23	2	2	NUM
ejpam-3048	338	24	,	,	PUNCT
ejpam-3048	338	25	α−	α−	ADP
ejpam-3048	338	26	n	n	CCONJ
ejpam-3048	338	27	)	)	PUNCT
ejpam-3048	338	28	]	]	PUNCT
ejpam-3048	338	29	p	p	X
ejpam-3048	338	30	d[g(t	d[g(t	PROPN
ejpam-3048	338	31	)	)	PUNCT
ejpam-3048	338	32	]	]	PUNCT
ejpam-3048	338	33	)	)	PUNCT
ejpam-3048	339	1	1	1	NUM
ejpam-3048	339	2	p	p	NOUN
ejpam-3048	339	3	×	×	PROPN
ejpam-3048	339	4	∫	∫	NUM
ejpam-3048	339	5	1	1	NUM
ejpam-3048	339	6	0	0	NUM
ejpam-3048	339	7	[	[	PUNCT
ejpam-3048	339	8	m	m	NOUN
ejpam-3048	339	9	√	√	NOUN
ejpam-3048	339	10	g(t	g(t	PROPN
ejpam-3048	339	11	)	)	PUNCT
ejpam-3048	339	12	2	2	NUM
ejpam-3048	339	13	√	√	NUM
ejpam-3048	339	14	1−	1−	NUM
ejpam-3048	339	15	g(t	g(t	PROPN
ejpam-3048	339	16	)	)	PUNCT
ejpam-3048	339	17	f	f	PROPN
ejpam-3048	340	1	′′(ϕ(x))rq	′′(ϕ(x))rq	PROPN
ejpam-3048	340	2	+	+	NUM
ejpam-3048	340	3	m	m	VERB
ejpam-3048	340	4	√	√	ADJ
ejpam-3048	340	5	1−	1−	NUM
ejpam-3048	340	6	g(t	g(t	PROPN
ejpam-3048	340	7	)	)	PUNCT
ejpam-3048	340	8	2	2	NUM
ejpam-3048	340	9	√	√	NUM
ejpam-3048	340	10	g(t	g(t	PROPN
ejpam-3048	340	11	)	)	PUNCT
ejpam-3048	340	12	f	f	PROPN
ejpam-3048	341	1	′′(ϕ(b))rq	′′(ϕ(b))rq	NOUN
ejpam-3048	341	2	]	]	SYM
ejpam-3048	341	3	1	1	NUM
ejpam-3048	341	4	r	r	NOUN
ejpam-3048	341	5	d[g(t	d[g(t	PROPN
ejpam-3048	341	6	)	)	PUNCT
ejpam-3048	341	7	]	]	PUNCT
ejpam-3048	342	1			PROPN
ejpam-3048	342	2	1	1	NUM
ejpam-3048	342	3	q	q	NOUN
ejpam-3048	342	4	≤	≤	NUM
ejpam-3048	342	5	(	(	PUNCT
ejpam-3048	342	6	m	m	NOUN
ejpam-3048	342	7	2	2	NUM
ejpam-3048	342	8	)	)	PUNCT
ejpam-3048	342	9	1	1	NUM
ejpam-3048	342	10	rq	rq	VERB
ejpam-3048	342	11	δ	δ	PROPN
ejpam-3048	342	12	1	1	NUM
ejpam-3048	342	13	p	p	X
ejpam-3048	342	14	(	(	PUNCT
ejpam-3048	342	15	g(t	g(t	PROPN
ejpam-3048	342	16	)	)	PUNCT
ejpam-3048	342	17	;	;	PUNCT
ejpam-3048	343	1	p	p	X
ejpam-3048	343	2	,	,	PUNCT
ejpam-3048	343	3	α	α	NOUN
ejpam-3048	343	4	,	,	PUNCT
ejpam-3048	343	5	n	n	CCONJ
ejpam-3048	343	6	)	)	PUNCT
ejpam-3048	343	7	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	343	8	)	)	PUNCT
ejpam-3048	343	9	,	,	PUNCT
ejpam-3048	343	10	ϕ(a),m)|α+2	ϕ(a),m)|α+2	PROPN
ejpam-3048	343	11	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	343	12	)	)	PUNCT
ejpam-3048	343	13	,	,	PUNCT
ejpam-3048	344	1	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	344	2	×	×	NOUN
ejpam-3048	345	1	[	[	X
ejpam-3048	345	2	∫	∫	NUM
ejpam-3048	345	3	1	1	NUM
ejpam-3048	345	4	0	0	NUM
ejpam-3048	345	5	(	(	PUNCT
ejpam-3048	345	6	√	√	PROPN
ejpam-3048	345	7	1−	1−	NUM
ejpam-3048	345	8	g(t	g(t	PROPN
ejpam-3048	345	9	)	)	PUNCT
ejpam-3048	345	10	g(t	g(t	PROPN
ejpam-3048	345	11	)	)	PUNCT
ejpam-3048	345	12	)	)	PUNCT
ejpam-3048	345	13	1	1	NUM
ejpam-3048	345	14	r	r	NOUN
ejpam-3048	345	15	f	f	NOUN
ejpam-3048	345	16	′′(ϕ(a))qd[g(t	′′(ϕ(a))qd[g(t	NOUN
ejpam-3048	345	17	)	)	PUNCT
ejpam-3048	345	18	]	]	PUNCT
ejpam-3048	345	19	r	r	PUNCT
ejpam-3048	346	1	+	+	CCONJ
ejpam-3048	346	2	∫	∫	NUM
ejpam-3048	346	3	1	1	NUM
ejpam-3048	346	4	0	0	NUM
ejpam-3048	346	5	(	(	PUNCT
ejpam-3048	346	6	√	√	PROPN
ejpam-3048	346	7	g(t	g(t	PROPN
ejpam-3048	346	8	)	)	PUNCT
ejpam-3048	346	9	1−	1−	NUM
ejpam-3048	346	10	g(t	g(t	PROPN
ejpam-3048	346	11	)	)	PUNCT
ejpam-3048	346	12	)	)	PUNCT
ejpam-3048	346	13	1	1	NUM
ejpam-3048	346	14	r	r	NOUN
ejpam-3048	346	15	f	f	NOUN
ejpam-3048	346	16	′′(ϕ(x))qd[g(t	′′(ϕ(x))qd[g(t	NUM
ejpam-3048	346	17	)	)	PUNCT
ejpam-3048	346	18	]	]	PUNCT
ejpam-3048	346	19	r	r	PUNCT
ejpam-3048	347	1	]	]	PUNCT
ejpam-3048	347	2	1	1	NUM
ejpam-3048	347	3	rq	rq	NOUN
ejpam-3048	347	4	+	+	X
ejpam-3048	347	5	(	(	PUNCT
ejpam-3048	347	6	m	m	NOUN
ejpam-3048	347	7	2	2	NUM
ejpam-3048	347	8	)	)	PUNCT
ejpam-3048	347	9	1	1	NUM
ejpam-3048	347	10	rq	rq	VERB
ejpam-3048	347	11	δ	δ	PROPN
ejpam-3048	347	12	1	1	NUM
ejpam-3048	347	13	p	p	X
ejpam-3048	347	14	(	(	PUNCT
ejpam-3048	347	15	g(t	g(t	PROPN
ejpam-3048	347	16	)	)	PUNCT
ejpam-3048	347	17	;	;	PUNCT
ejpam-3048	348	1	p	p	X
ejpam-3048	348	2	,	,	PUNCT
ejpam-3048	348	3	α	α	NOUN
ejpam-3048	348	4	,	,	PUNCT
ejpam-3048	348	5	n	n	CCONJ
ejpam-3048	348	6	)	)	PUNCT
ejpam-3048	348	7	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	348	8	)	)	PUNCT
ejpam-3048	348	9	,	,	PUNCT
ejpam-3048	348	10	ϕ(b),m)|α+2	ϕ(b),m)|α+2	NUM
ejpam-3048	348	11	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	348	12	)	)	PUNCT
ejpam-3048	348	13	,	,	PUNCT
ejpam-3048	349	1	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	349	2	×	×	NOUN
ejpam-3048	350	1	[	[	X
ejpam-3048	350	2	∫	∫	NUM
ejpam-3048	350	3	1	1	NUM
ejpam-3048	350	4	0	0	NUM
ejpam-3048	350	5	(	(	PUNCT
ejpam-3048	350	6	√	√	PROPN
ejpam-3048	350	7	1−	1−	NUM
ejpam-3048	350	8	g(t	g(t	PROPN
ejpam-3048	350	9	)	)	PUNCT
ejpam-3048	350	10	g(t	g(t	PROPN
ejpam-3048	350	11	)	)	PUNCT
ejpam-3048	350	12	)	)	PUNCT
ejpam-3048	350	13	1	1	NUM
ejpam-3048	350	14	r	r	NOUN
ejpam-3048	350	15	f	f	NOUN
ejpam-3048	350	16	′′(ϕ(b))qd[g(t	′′(ϕ(b))qd[g(t	NOUN
ejpam-3048	350	17	)	)	PUNCT
ejpam-3048	350	18	]	]	PUNCT
ejpam-3048	350	19	r	r	PUNCT
ejpam-3048	351	1	+	+	CCONJ
ejpam-3048	351	2	∫	∫	NUM
ejpam-3048	351	3	1	1	NUM
ejpam-3048	351	4	0	0	NUM
ejpam-3048	351	5	(	(	PUNCT
ejpam-3048	351	6	√	√	PROPN
ejpam-3048	351	7	g(t	g(t	PROPN
ejpam-3048	351	8	)	)	PUNCT
ejpam-3048	351	9	1−	1−	NUM
ejpam-3048	351	10	g(t	g(t	PROPN
ejpam-3048	351	11	)	)	PUNCT
ejpam-3048	351	12	)	)	PUNCT
ejpam-3048	351	13	1	1	NUM
ejpam-3048	351	14	r	r	NOUN
ejpam-3048	351	15	f	f	NOUN
ejpam-3048	351	16	′′(ϕ(x))qd[g(t	′′(ϕ(x))qd[g(t	NUM
ejpam-3048	351	17	)	)	PUNCT
ejpam-3048	351	18	]	]	PUNCT
ejpam-3048	351	19	r	r	PUNCT
ejpam-3048	352	1	]	]	PUNCT
ejpam-3048	352	2	1	1	NUM
ejpam-3048	352	3	rq	rq	NOUN
ejpam-3048	352	4	=	=	SYM
ejpam-3048	352	5	(	(	PUNCT
ejpam-3048	352	6	m	m	NOUN
ejpam-3048	352	7	2	2	NUM
ejpam-3048	352	8	)	)	PUNCT
ejpam-3048	352	9	1	1	NUM
ejpam-3048	352	10	rq	rq	VERB
ejpam-3048	352	11	δ	δ	PROPN
ejpam-3048	352	12	1	1	NUM
ejpam-3048	352	13	p	p	X
ejpam-3048	352	14	(	(	PUNCT
ejpam-3048	352	15	g(t	g(t	PROPN
ejpam-3048	352	16	)	)	PUNCT
ejpam-3048	352	17	;	;	PUNCT
ejpam-3048	353	1	p	p	X
ejpam-3048	353	2	,	,	PUNCT
ejpam-3048	353	3	α	α	NOUN
ejpam-3048	353	4	,	,	PUNCT
ejpam-3048	353	5	n	n	CCONJ
ejpam-3048	353	6	)	)	PUNCT
ejpam-3048	353	7	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	353	8	)	)	PUNCT
ejpam-3048	353	9	,	,	PUNCT
ejpam-3048	354	1	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	354	2	×	×	NOUN
ejpam-3048	354	3	{	{	PUNCT
ejpam-3048	354	4	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	354	5	)	)	PUNCT
ejpam-3048	354	6	,	,	PUNCT
ejpam-3048	354	7	ϕ(a),m)|α+2	ϕ(a),m)|α+2	VERB
ejpam-3048	355	1	[	[	PUNCT
ejpam-3048	355	2	br	br	NOUN
ejpam-3048	355	3	g(1	g(1	NOUN
ejpam-3048	355	4	)	)	PUNCT
ejpam-3048	355	5	(	(	PUNCT
ejpam-3048	355	6	1−	1−	NUM
ejpam-3048	355	7	1	1	NUM
ejpam-3048	355	8	2r	2r	NUM
ejpam-3048	355	9	,	,	PUNCT
ejpam-3048	355	10	1	1	NUM
ejpam-3048	355	11	+	+	SYM
ejpam-3048	355	12	1	1	NUM
ejpam-3048	355	13	2r	2r	NUM
ejpam-3048	355	14	)	)	PUNCT
ejpam-3048	356	1	f	f	PROPN
ejpam-3048	357	1	′′(ϕ(a))rq	′′(ϕ(a))rq	PROPN
ejpam-3048	357	2	+	+	NOUN
ejpam-3048	357	3	br	br	NOUN
ejpam-3048	357	4	g(1	g(1	NOUN
ejpam-3048	357	5	)	)	PUNCT
ejpam-3048	357	6	(	(	PUNCT
ejpam-3048	357	7	1	1	NUM
ejpam-3048	357	8	+	+	SYM
ejpam-3048	357	9	1	1	NUM
ejpam-3048	357	10	2r	2r	NUM
ejpam-3048	357	11	,	,	PUNCT
ejpam-3048	357	12	1−	1−	NUM
ejpam-3048	357	13	1	1	NUM
ejpam-3048	357	14	2r	2r	NUM
ejpam-3048	357	15	)	)	PUNCT
ejpam-3048	358	1	f	f	NOUN
ejpam-3048	358	2	′′(ϕ(x))rq	′′(ϕ(x))rq	PROPN
ejpam-3048	358	3	]	]	PUNCT
ejpam-3048	358	4	1	1	NUM
ejpam-3048	358	5	rq	rq	VERB
ejpam-3048	358	6	a.	a.	NOUN
ejpam-3048	358	7	fundo	fundo	PROPN
ejpam-3048	358	8	,	,	PUNCT
ejpam-3048	358	9	a.	a.	NOUN
ejpam-3048	358	10	kashuri	kashuri	PROPN
ejpam-3048	358	11	,	,	PUNCT
ejpam-3048	358	12	m.	m.	NOUN
ejpam-3048	358	13	ramosaço	ramosaço	PROPN
ejpam-3048	358	14	,	,	PUNCT
ejpam-3048	358	15	r.	r.	PROPN
ejpam-3048	358	16	liko	liko	PROPN
ejpam-3048	358	17	/	/	SYM
ejpam-3048	358	18	eur	eur	PROPN
ejpam-3048	358	19	.	.	PUNCT
ejpam-3048	359	1	j.	j.	PROPN
ejpam-3048	359	2	pure	pure	PROPN
ejpam-3048	359	3	appl	appl	PROPN
ejpam-3048	359	4	.	.	PROPN
ejpam-3048	359	5	math	math	PROPN
ejpam-3048	359	6	,	,	PUNCT
ejpam-3048	359	7	10	10	NUM
ejpam-3048	359	8	(	(	PUNCT
ejpam-3048	359	9	4	4	NUM
ejpam-3048	359	10	)	)	PUNCT
ejpam-3048	359	11	(	(	PUNCT
ejpam-3048	359	12	2017	2017	NUM
ejpam-3048	359	13	)	)	PUNCT
ejpam-3048	359	14	,	,	PUNCT
ejpam-3048	359	15	809	809	NUM
ejpam-3048	359	16	-	-	SYM
ejpam-3048	359	17	834	834	NUM
ejpam-3048	359	18	822	822	NUM
ejpam-3048	359	19	+	+	NOUN
ejpam-3048	359	20	|η(ϕ(x	|η(ϕ(x	X
ejpam-3048	359	21	)	)	PUNCT
ejpam-3048	359	22	,	,	PUNCT
ejpam-3048	359	23	ϕ(b),m)|α+2	ϕ(b),m)|α+2	NUM
ejpam-3048	359	24	[	[	PUNCT
ejpam-3048	359	25	br	br	NOUN
ejpam-3048	359	26	g(1	g(1	NOUN
ejpam-3048	359	27	)	)	PUNCT
ejpam-3048	359	28	(	(	PUNCT
ejpam-3048	359	29	1−	1−	NUM
ejpam-3048	359	30	1	1	NUM
ejpam-3048	359	31	2r	2r	NUM
ejpam-3048	359	32	,	,	PUNCT
ejpam-3048	359	33	1	1	NUM
ejpam-3048	359	34	+	+	SYM
ejpam-3048	359	35	1	1	NUM
ejpam-3048	359	36	2r	2r	NUM
ejpam-3048	359	37	)	)	PUNCT
ejpam-3048	360	1	f	f	X
ejpam-3048	361	1	′′(ϕ(b))rq	′′(ϕ(b))rq	NOUN
ejpam-3048	362	1	+	+	NOUN
ejpam-3048	362	2	br	br	NOUN
ejpam-3048	362	3	g(1	g(1	NOUN
ejpam-3048	362	4	)	)	PUNCT
ejpam-3048	362	5	(	(	PUNCT
ejpam-3048	362	6	1	1	NUM
ejpam-3048	362	7	+	+	SYM
ejpam-3048	362	8	1	1	NUM
ejpam-3048	362	9	2r	2r	NUM
ejpam-3048	362	10	,	,	PUNCT
ejpam-3048	362	11	1−	1−	NUM
ejpam-3048	362	12	1	1	NUM
ejpam-3048	362	13	2r	2r	NUM
ejpam-3048	362	14	)	)	PUNCT
ejpam-3048	363	1	f	f	NOUN
ejpam-3048	363	2	′′(ϕ(x))rq	′′(ϕ(x))rq	PROPN
ejpam-3048	363	3	]	]	PUNCT
ejpam-3048	363	4	1	1	NUM
ejpam-3048	363	5	rq	rq	NOUN
ejpam-3048	363	6	}	}	PUNCT
ejpam-3048	363	7	.	.	PUNCT
ejpam-3048	364	1	corollary	corollary	ADJ
ejpam-3048	364	2	3	3	NUM
ejpam-3048	364	3	.	.	PUNCT
ejpam-3048	365	1	under	under	ADP
ejpam-3048	365	2	the	the	DET
ejpam-3048	365	3	same	same	ADJ
ejpam-3048	365	4	conditions	condition	NOUN
ejpam-3048	365	5	as	as	ADP
ejpam-3048	365	6	in	in	ADP
ejpam-3048	365	7	theorem	theorem	NOUN
ejpam-3048	365	8	5	5	NUM
ejpam-3048	365	9	,	,	PUNCT
ejpam-3048	365	10	if	if	SCONJ
ejpam-3048	365	11	we	we	PRON
ejpam-3048	365	12	choose	choose	VERB
ejpam-3048	365	13	α	α	PRON
ejpam-3048	365	14	∈	∈	PROPN
ejpam-3048	365	15	(	(	PUNCT
ejpam-3048	365	16	n	n	X
ejpam-3048	365	17	,	,	PUNCT
ejpam-3048	365	18	n	n	PROPN
ejpam-3048	365	19	+	+	NOUN
ejpam-3048	365	20	1	1	NUM
ejpam-3048	365	21	]	]	PUNCT
ejpam-3048	365	22	where	where	SCONJ
ejpam-3048	365	23	n	n	NOUN
ejpam-3048	365	24	=	=	SYM
ejpam-3048	365	25	0	0	NUM
ejpam-3048	365	26	,	,	PUNCT
ejpam-3048	365	27	1	1	NUM
ejpam-3048	365	28	,	,	PUNCT
ejpam-3048	365	29	2	2	NUM
ejpam-3048	365	30	,	,	PUNCT
ejpam-3048	365	31	.	.	PUNCT
ejpam-3048	365	32	.	.	PUNCT
ejpam-3048	365	33	.	.	PUNCT
ejpam-3048	366	1	and	and	CCONJ
ejpam-3048	366	2	g(t	g(t	PROPN
ejpam-3048	366	3	)	)	PUNCT
ejpam-3048	367	1	=	=	SYM
ejpam-3048	367	2	t	t	PROPN
ejpam-3048	367	3	,	,	PUNCT
ejpam-3048	367	4	we	we	PRON
ejpam-3048	367	5	get	get	VERB
ejpam-3048	367	6	the	the	DET
ejpam-3048	367	7	following	follow	VERB
ejpam-3048	367	8	inequality	inequality	NOUN
ejpam-3048	367	9	for	for	ADP
ejpam-3048	367	10	conformable	conformable	ADJ
ejpam-3048	367	11	fractional	fractional	ADJ
ejpam-3048	367	12	integrals	integral	NOUN
ejpam-3048	367	13	:	:	PUNCT
ejpam-3048	367	14	∣∣∣∣∣−ηα+1(ϕ(x	∣∣∣∣∣−ηα+1(ϕ(x	NUM
ejpam-3048	367	15	)	)	PUNCT
ejpam-3048	367	16	,	,	PUNCT
ejpam-3048	367	17	ϕ(a),m)f	ϕ(a),m)f	X
ejpam-3048	367	18	′(mϕ(a))−	′(mϕ(a))−	NOUN
ejpam-3048	367	19	ηα+1(ϕ(x	ηα+1(ϕ(x	NOUN
ejpam-3048	367	20	)	)	PUNCT
ejpam-3048	367	21	,	,	PUNCT
ejpam-3048	367	22	ϕ(b),m)f	ϕ(b),m)f	PUNCT
ejpam-3048	367	23	′(mϕ(b	′(mϕ(b	ADJ
ejpam-3048	367	24	)	)	PUNCT
ejpam-3048	367	25	)	)	PUNCT
ejpam-3048	367	26	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	367	27	)	)	PUNCT
ejpam-3048	367	28	,	,	PUNCT
ejpam-3048	367	29	ϕ(a),m	ϕ(a),m	PROPN
ejpam-3048	367	30	)	)	PUNCT
ejpam-3048	367	31	−(n+	−(n+	PROPN
ejpam-3048	368	1	2−	2−	NUM
ejpam-3048	368	2	α)(n+	α)(n+	NOUN
ejpam-3048	368	3	1	1	NUM
ejpam-3048	368	4	)	)	PUNCT
ejpam-3048	368	5	!	!	PUNCT
ejpam-3048	369	1	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	369	2	)	)	PUNCT
ejpam-3048	369	3	,	,	PUNCT
ejpam-3048	369	4	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	369	5	)	)	PUNCT
ejpam-3048	369	6	×	×	NOUN
ejpam-3048	370	1	[	[	X
ejpam-3048	370	2	(	(	PUNCT
ejpam-3048	370	3	(	(	PUNCT
ejpam-3048	370	4	mϕ(a)+η(ϕ(x),ϕ(a),m))iαf	mϕ(a)+η(ϕ(x),ϕ(a),m))iαf	NOUN
ejpam-3048	370	5	)	)	PUNCT
ejpam-3048	370	6	(	(	PUNCT
ejpam-3048	370	7	mϕ(a	mϕ(a	NOUN
ejpam-3048	370	8	)	)	PUNCT
ejpam-3048	370	9	)	)	PUNCT
ejpam-3048	371	1	+	+	CCONJ
ejpam-3048	371	2	(	(	PUNCT
ejpam-3048	371	3	(	(	PUNCT
ejpam-3048	371	4	mϕ(b)+η(ϕ(x),ϕ(b),m))iαf	mϕ(b)+η(ϕ(x),ϕ(b),m))iαf	ADJ
ejpam-3048	371	5	)	)	PUNCT
ejpam-3048	371	6	(	(	PUNCT
ejpam-3048	371	7	mϕ(b	mϕ(b	NUM
ejpam-3048	371	8	)	)	PUNCT
ejpam-3048	371	9	)	)	PUNCT
ejpam-3048	372	1	]	]	PUNCT
ejpam-3048	372	2	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3048	372	3	≤	≤	NUM
ejpam-3048	372	4	(	(	PUNCT
ejpam-3048	372	5	m	m	NOUN
ejpam-3048	372	6	2	2	NUM
ejpam-3048	372	7	)	)	PUNCT
ejpam-3048	372	8	1	1	NUM
ejpam-3048	372	9	rq	rq	NOUN
ejpam-3048	372	10	(	(	PUNCT
ejpam-3048	372	11	π	π	PROPN
ejpam-3048	372	12	2r	2r	NUM
ejpam-3048	372	13	sin	sin	NOUN
ejpam-3048	372	14	(	(	PUNCT
ejpam-3048	372	15	π	π	NOUN
ejpam-3048	372	16	2r	2r	NUM
ejpam-3048	372	17	)	)	PUNCT
ejpam-3048	372	18	)	)	PUNCT
ejpam-3048	373	1	1	1	NUM
ejpam-3048	373	2	q	q	SYM
ejpam-3048	373	3	δ	δ	PROPN
ejpam-3048	373	4	1	1	NUM
ejpam-3048	373	5	p	p	NOUN
ejpam-3048	373	6	(	(	PUNCT
ejpam-3048	373	7	p	p	X
ejpam-3048	373	8	,	,	PUNCT
ejpam-3048	373	9	α	α	NOUN
ejpam-3048	373	10	,	,	PUNCT
ejpam-3048	373	11	n	n	CCONJ
ejpam-3048	373	12	)	)	PUNCT
ejpam-3048	373	13	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	373	14	)	)	PUNCT
ejpam-3048	373	15	,	,	PUNCT
ejpam-3048	373	16	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	373	17	×	×	NOUN
ejpam-3048	373	18	{	{	PUNCT
ejpam-3048	373	19	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	373	20	)	)	PUNCT
ejpam-3048	373	21	,	,	PUNCT
ejpam-3048	373	22	ϕ(a),m)|α+2	ϕ(a),m)|α+2	X
ejpam-3048	374	1	[	[	PUNCT
ejpam-3048	374	2	f	f	PROPN
ejpam-3048	374	3	′′(ϕ(a))rq	′′(ϕ(a))rq	PROPN
ejpam-3048	375	1	+	+	PROPN
ejpam-3048	375	2	f	f	PROPN
ejpam-3048	375	3	′′(ϕ(x))rq	′′(ϕ(x))rq	NUM
ejpam-3048	375	4	]	]	PUNCT
ejpam-3048	375	5	1	1	NUM
ejpam-3048	375	6	rq	rq	X
ejpam-3048	375	7	+	+	PROPN
ejpam-3048	375	8	|η(ϕ(x	|η(ϕ(x	X
ejpam-3048	375	9	)	)	PUNCT
ejpam-3048	375	10	,	,	PUNCT
ejpam-3048	375	11	ϕ(b),m)|α+2	ϕ(b),m)|α+2	PRON
ejpam-3048	376	1	[	[	PUNCT
ejpam-3048	376	2	f	f	X
ejpam-3048	376	3	′′(ϕ(b))rq	′′(ϕ(b))rq	PROPN
ejpam-3048	377	1	+	+	CCONJ
ejpam-3048	377	2	f	f	PROPN
ejpam-3048	377	3	′′(ϕ(x))rq	′′(ϕ(x))rq	NUM
ejpam-3048	377	4	]	]	PUNCT
ejpam-3048	377	5	1	1	NUM
ejpam-3048	377	6	rq	rq	NOUN
ejpam-3048	377	7	}	}	PUNCT
ejpam-3048	377	8	,	,	PUNCT
ejpam-3048	377	9	where	where	SCONJ
ejpam-3048	377	10	δ(p	δ(p	PROPN
ejpam-3048	377	11	,	,	PUNCT
ejpam-3048	377	12	α	α	NOUN
ejpam-3048	377	13	,	,	PUNCT
ejpam-3048	377	14	n	n	CCONJ
ejpam-3048	377	15	)	)	PUNCT
ejpam-3048	377	16	=	=	SYM
ejpam-3048	378	1	∫	∫	PROPN
ejpam-3048	378	2	1	1	NUM
ejpam-3048	378	3	0	0	NUM
ejpam-3048	378	4	[	[	PUNCT
ejpam-3048	378	5	β(n+	β(n+	NUM
ejpam-3048	378	6	2	2	NUM
ejpam-3048	378	7	,	,	PUNCT
ejpam-3048	378	8	α−	α−	ADP
ejpam-3048	378	9	n)−	n)−	NOUN
ejpam-3048	378	10	βt(n+	βt(n+	PROPN
ejpam-3048	378	11	2	2	NUM
ejpam-3048	378	12	,	,	PUNCT
ejpam-3048	378	13	α−	α−	ADP
ejpam-3048	378	14	n	n	CCONJ
ejpam-3048	378	15	)	)	PUNCT
ejpam-3048	378	16	]	]	PUNCT
ejpam-3048	378	17	p	p	X
ejpam-3048	378	18	dt	dt	PROPN
ejpam-3048	378	19	.	.	PUNCT
ejpam-3048	379	1	corollary	corollary	ADJ
ejpam-3048	379	2	4	4	NUM
ejpam-3048	379	3	.	.	PUNCT
ejpam-3048	380	1	under	under	ADP
ejpam-3048	380	2	the	the	DET
ejpam-3048	380	3	same	same	ADJ
ejpam-3048	380	4	conditions	condition	NOUN
ejpam-3048	380	5	as	as	ADP
ejpam-3048	380	6	in	in	ADP
ejpam-3048	380	7	corollary	corollary	ADJ
ejpam-3048	380	8	3	3	NUM
ejpam-3048	380	9	,	,	PUNCT
ejpam-3048	380	10	if	if	SCONJ
ejpam-3048	380	11	we	we	PRON
ejpam-3048	380	12	choose	choose	VERB
ejpam-3048	380	13	α	α	X
ejpam-3048	380	14	=	=	PUNCT
ejpam-3048	380	15	n+	n+	ADP
ejpam-3048	380	16	1	1	NUM
ejpam-3048	380	17	where	where	SCONJ
ejpam-3048	380	18	n	n	ADV
ejpam-3048	380	19	=	=	SYM
ejpam-3048	380	20	0	0	NUM
ejpam-3048	380	21	,	,	PUNCT
ejpam-3048	380	22	1	1	NUM
ejpam-3048	380	23	,	,	PUNCT
ejpam-3048	380	24	2	2	NUM
ejpam-3048	380	25	,	,	PUNCT
ejpam-3048	380	26	.	.	PUNCT
ejpam-3048	380	27	.	.	PUNCT
ejpam-3048	381	1	.	.	PUNCT
ejpam-3048	382	1	,	,	PUNCT
ejpam-3048	382	2	r	r	NOUN
ejpam-3048	382	3	=	=	SYM
ejpam-3048	382	4	1	1	NUM
ejpam-3048	382	5	and	and	CCONJ
ejpam-3048	382	6	f	f	X
ejpam-3048	382	7	′′	′′	PROPN
ejpam-3048	382	8	≤	≤	PROPN
ejpam-3048	382	9	k	k	PROPN
ejpam-3048	382	10	,	,	PUNCT
ejpam-3048	382	11	we	we	PRON
ejpam-3048	382	12	get	get	VERB
ejpam-3048	382	13	the	the	DET
ejpam-3048	382	14	following	follow	VERB
ejpam-3048	382	15	inequality	inequality	NOUN
ejpam-3048	382	16	for	for	ADP
ejpam-3048	382	17	fractional	fractional	ADJ
ejpam-3048	382	18	integrals:∣∣∣∣∣−ηα+1(ϕ(x	integrals:∣∣∣∣∣−ηα+1(ϕ(x	PROPN
ejpam-3048	382	19	)	)	PUNCT
ejpam-3048	382	20	,	,	PUNCT
ejpam-3048	382	21	ϕ(a),m)f	ϕ(a),m)f	X
ejpam-3048	382	22	′(mϕ(a))−	′(mϕ(a))−	NOUN
ejpam-3048	382	23	ηα+1(ϕ(x	ηα+1(ϕ(x	NOUN
ejpam-3048	382	24	)	)	PUNCT
ejpam-3048	382	25	,	,	PUNCT
ejpam-3048	382	26	ϕ(b),m)f	ϕ(b),m)f	PUNCT
ejpam-3048	382	27	′(mϕ(b	′(mϕ(b	ADJ
ejpam-3048	382	28	)	)	PUNCT
ejpam-3048	382	29	)	)	PUNCT
ejpam-3048	383	1	(	(	PUNCT
ejpam-3048	383	2	α+	α+	X
ejpam-3048	383	3	1)η(ϕ(b	1)η(ϕ(b	NUM
ejpam-3048	383	4	)	)	PUNCT
ejpam-3048	383	5	,	,	PUNCT
ejpam-3048	383	6	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	383	7	)	)	PUNCT
ejpam-3048	383	8	+	+	CCONJ
ejpam-3048	383	9	ηα(ϕ(x	ηα(ϕ(x	NOUN
ejpam-3048	383	10	)	)	PUNCT
ejpam-3048	383	11	,	,	PUNCT
ejpam-3048	383	12	ϕ(a),m)f(mϕ(a	ϕ(a),m)f(mϕ(a	PROPN
ejpam-3048	383	13	)	)	PUNCT
ejpam-3048	383	14	+	+	CCONJ
ejpam-3048	383	15	η(ϕ(x	η(ϕ(x	PROPN
ejpam-3048	383	16	)	)	PUNCT
ejpam-3048	383	17	,	,	PUNCT
ejpam-3048	383	18	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	383	19	)	)	PUNCT
ejpam-3048	383	20	)	)	PUNCT
ejpam-3048	384	1	+	+	CCONJ
ejpam-3048	385	1	ηα(ϕ(x	ηα(ϕ(x	NOUN
ejpam-3048	385	2	)	)	PUNCT
ejpam-3048	385	3	,	,	PUNCT
ejpam-3048	385	4	ϕ(b),m)f(mϕ(b	ϕ(b),m)f(mϕ(b	NUM
ejpam-3048	385	5	)	)	PUNCT
ejpam-3048	386	1	+	+	CCONJ
ejpam-3048	386	2	η(ϕ(x	η(ϕ(x	NOUN
ejpam-3048	386	3	)	)	PUNCT
ejpam-3048	386	4	,	,	PUNCT
ejpam-3048	386	5	ϕ(b),m	ϕ(b),m	NOUN
ejpam-3048	386	6	)	)	PUNCT
ejpam-3048	386	7	)	)	PUNCT
ejpam-3048	386	8	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	386	9	)	)	PUNCT
ejpam-3048	386	10	,	,	PUNCT
ejpam-3048	386	11	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	386	12	)	)	PUNCT
ejpam-3048	386	13	−	−	PROPN
ejpam-3048	387	1	γ(α+	γ(α+	DET
ejpam-3048	387	2	1	1	NUM
ejpam-3048	387	3	)	)	PUNCT
ejpam-3048	387	4	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	387	5	)	)	PUNCT
ejpam-3048	387	6	,	,	PUNCT
ejpam-3048	387	7	ϕ(a),m	ϕ(a),m	PROPN
ejpam-3048	387	8	)	)	PUNCT
ejpam-3048	387	9	a.	a.	NOUN
ejpam-3048	387	10	fundo	fundo	PROPN
ejpam-3048	387	11	,	,	PUNCT
ejpam-3048	387	12	a.	a.	NOUN
ejpam-3048	387	13	kashuri	kashuri	PROPN
ejpam-3048	387	14	,	,	PUNCT
ejpam-3048	387	15	m.	m.	NOUN
ejpam-3048	387	16	ramosaço	ramosaço	PROPN
ejpam-3048	387	17	,	,	PUNCT
ejpam-3048	387	18	r.	r.	PROPN
ejpam-3048	387	19	liko	liko	PROPN
ejpam-3048	387	20	/	/	SYM
ejpam-3048	387	21	eur	eur	PROPN
ejpam-3048	387	22	.	.	PUNCT
ejpam-3048	388	1	j.	j.	PROPN
ejpam-3048	388	2	pure	pure	PROPN
ejpam-3048	388	3	appl	appl	PROPN
ejpam-3048	388	4	.	.	PROPN
ejpam-3048	388	5	math	math	PROPN
ejpam-3048	388	6	,	,	PUNCT
ejpam-3048	388	7	10	10	NUM
ejpam-3048	388	8	(	(	PUNCT
ejpam-3048	388	9	4	4	NUM
ejpam-3048	388	10	)	)	PUNCT
ejpam-3048	388	11	(	(	PUNCT
ejpam-3048	388	12	2017	2017	NUM
ejpam-3048	388	13	)	)	PUNCT
ejpam-3048	388	14	,	,	PUNCT
ejpam-3048	388	15	809	809	NUM
ejpam-3048	388	16	-	-	SYM
ejpam-3048	388	17	834	834	NUM
ejpam-3048	388	18	823	823	NUM
ejpam-3048	388	19	×	×	NOUN
ejpam-3048	388	20	[	[	PUNCT
ejpam-3048	388	21	jα(mϕ(a)+η(ϕ(x),ϕ(a),m))−f(mϕ(a	jα(mϕ(a)+η(ϕ(x),ϕ(a),m))−f(mϕ(a	NOUN
ejpam-3048	388	22	)	)	PUNCT
ejpam-3048	388	23	)	)	PUNCT
ejpam-3048	389	1	+	+	CCONJ
ejpam-3048	389	2	jα(mϕ(b)+η(ϕ(x),ϕ(b),m))−f(mϕ(b	jα(mϕ(b)+η(ϕ(x),ϕ(b),m))−f(mϕ(b	NOUN
ejpam-3048	389	3	)	)	PUNCT
ejpam-3048	389	4	)	)	PUNCT
ejpam-3048	390	1	]	]	PUNCT
ejpam-3048	390	2	∣∣∣∣∣	∣∣∣∣∣	X
ejpam-3048	390	3	≤	≤	PROPN
ejpam-3048	390	4	k	k	PROPN
ejpam-3048	390	5	(	(	PUNCT
ejpam-3048	390	6	mπ	mπ	PROPN
ejpam-3048	390	7	2	2	NUM
ejpam-3048	390	8	)	)	PUNCT
ejpam-3048	390	9	1	1	NUM
ejpam-3048	390	10	q	q	NOUN
ejpam-3048	390	11	γ(p+	γ(p+	PROPN
ejpam-3048	390	12	1)γ	1)γ	PROPN
ejpam-3048	390	13	(	(	PUNCT
ejpam-3048	390	14	1	1	NUM
ejpam-3048	390	15	α+1	α+1	NUM
ejpam-3048	390	16	)	)	PUNCT
ejpam-3048	390	17	γ	γ	PROPN
ejpam-3048	390	18	(	(	PUNCT
ejpam-3048	390	19	p+	p+	NOUN
ejpam-3048	390	20	1	1	NUM
ejpam-3048	390	21	+	+	CCONJ
ejpam-3048	390	22	1	1	NUM
ejpam-3048	390	23	α+1	α+1	NUM
ejpam-3048	390	24	)	)	PUNCT
ejpam-3048	390	25			PROPN
ejpam-3048	390	26	1	1	NUM
ejpam-3048	390	27	p	p	NOUN
ejpam-3048	390	28	×	×	NOUN
ejpam-3048	390	29	[	[	PUNCT
ejpam-3048	390	30	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	390	31	)	)	PUNCT
ejpam-3048	390	32	,	,	PUNCT
ejpam-3048	390	33	ϕ(a),m)|α+2	ϕ(a),m)|α+2	PROPN
ejpam-3048	391	1	+	+	CCONJ
ejpam-3048	391	2	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	391	3	)	)	PUNCT
ejpam-3048	391	4	,	,	PUNCT
ejpam-3048	392	1	ϕ(b),m)|α+2	ϕ(b),m)|α+2	NUM
ejpam-3048	392	2	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	392	3	)	)	PUNCT
ejpam-3048	392	4	,	,	PUNCT
ejpam-3048	393	1	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	393	2	]	]	PUNCT
ejpam-3048	393	3	.	.	PUNCT
ejpam-3048	394	1	theorem	theorem	ADJ
ejpam-3048	394	2	6	6	NUM
ejpam-3048	394	3	.	.	PUNCT
ejpam-3048	395	1	let	let	VERB
ejpam-3048	395	2	ϕ	ϕ	NOUN
ejpam-3048	395	3	:	:	PUNCT
ejpam-3048	396	1	i	i	PRON
ejpam-3048	396	2	−→	−→	VERB
ejpam-3048	396	3	k	k	X
ejpam-3048	396	4	be	be	AUX
ejpam-3048	396	5	a	a	DET
ejpam-3048	396	6	continuous	continuous	ADJ
ejpam-3048	396	7	function	function	NOUN
ejpam-3048	396	8	and	and	CCONJ
ejpam-3048	396	9	g	g	NOUN
ejpam-3048	396	10	:	:	PUNCT
ejpam-3048	397	1	[	[	X
ejpam-3048	397	2	0	0	NUM
ejpam-3048	397	3	,	,	PUNCT
ejpam-3048	397	4	1	1	NUM
ejpam-3048	397	5	]	]	X
ejpam-3048	397	6	−→	−→	NOUN
ejpam-3048	397	7	(	(	PUNCT
ejpam-3048	397	8	0	0	NUM
ejpam-3048	397	9	,	,	PUNCT
ejpam-3048	397	10	1	1	NUM
ejpam-3048	397	11	)	)	PUNCT
ejpam-3048	397	12	is	be	AUX
ejpam-3048	397	13	a	a	DET
ejpam-3048	397	14	differentiable	differentiable	ADJ
ejpam-3048	397	15	function	function	NOUN
ejpam-3048	397	16	.	.	PUNCT
ejpam-3048	398	1	suppose	suppose	VERB
ejpam-3048	398	2	k	k	PROPN
ejpam-3048	398	3	⊆	⊆	NUM
ejpam-3048	398	4	r	r	NOUN
ejpam-3048	398	5	be	be	VERB
ejpam-3048	398	6	an	an	DET
ejpam-3048	398	7	open	open	ADJ
ejpam-3048	398	8	m	m	NOUN
ejpam-3048	398	9	-	-	PUNCT
ejpam-3048	398	10	invex	invex	NOUN
ejpam-3048	398	11	subset	subset	VERB
ejpam-3048	398	12	with	with	ADP
ejpam-3048	398	13	respect	respect	NOUN
ejpam-3048	398	14	to	to	ADP
ejpam-3048	398	15	η	η	PROPN
ejpam-3048	398	16	:	:	PUNCT
ejpam-3048	398	17	k	k	PROPN
ejpam-3048	398	18	×k	×k	PROPN
ejpam-3048	398	19	×	×	NOUN
ejpam-3048	398	20	(	(	PUNCT
ejpam-3048	398	21	0	0	NUM
ejpam-3048	398	22	,	,	PUNCT
ejpam-3048	398	23	1	1	NUM
ejpam-3048	398	24	]	]	X
ejpam-3048	398	25	−→	−→	ADJ
ejpam-3048	398	26	r	r	NOUN
ejpam-3048	398	27	for	for	ADP
ejpam-3048	398	28	any	any	DET
ejpam-3048	398	29	fixed	fix	VERB
ejpam-3048	398	30	m	m	NOUN
ejpam-3048	398	31	∈	∈	NOUN
ejpam-3048	398	32	(	(	PUNCT
ejpam-3048	398	33	0	0	NUM
ejpam-3048	398	34	,	,	PUNCT
ejpam-3048	398	35	1	1	NUM
ejpam-3048	398	36	]	]	PUNCT
ejpam-3048	398	37	and	and	CCONJ
ejpam-3048	398	38	let	let	VERB
ejpam-3048	398	39	mϕ(a	mϕ(a	NOUN
ejpam-3048	398	40	)	)	PUNCT
ejpam-3048	398	41	<	<	X
ejpam-3048	398	42	mϕ(a	mϕ(a	NOUN
ejpam-3048	398	43	)	)	PUNCT
ejpam-3048	399	1	+	+	CCONJ
ejpam-3048	399	2	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	399	3	)	)	PUNCT
ejpam-3048	399	4	,	,	PUNCT
ejpam-3048	399	5	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	399	6	)	)	PUNCT
ejpam-3048	399	7	.	.	PUNCT
ejpam-3048	400	1	assume	assume	VERB
ejpam-3048	400	2	that	that	SCONJ
ejpam-3048	400	3	f	f	X
ejpam-3048	400	4	:	:	PUNCT
ejpam-3048	401	1	k	k	X
ejpam-3048	401	2	=	=	PUNCT
ejpam-3048	402	1	[	[	X
ejpam-3048	402	2	mϕ(a),mϕ(a)+η(ϕ(b	mϕ(a),mϕ(a)+η(ϕ(b	X
ejpam-3048	402	3	)	)	PUNCT
ejpam-3048	402	4	,	,	PUNCT
ejpam-3048	402	5	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	402	6	)	)	PUNCT
ejpam-3048	402	7	]	]	PUNCT
ejpam-3048	402	8	−→	−→	NOUN
ejpam-3048	402	9	(	(	PUNCT
ejpam-3048	402	10	0,∞	0,∞	NOUN
ejpam-3048	402	11	)	)	PUNCT
ejpam-3048	402	12	be	be	VERB
ejpam-3048	402	13	a	a	DET
ejpam-3048	402	14	twice	twice	ADV
ejpam-3048	402	15	differentiable	differentiable	ADJ
ejpam-3048	402	16	function	function	NOUN
ejpam-3048	402	17	on	on	ADP
ejpam-3048	402	18	k	k	NOUN
ejpam-3048	402	19	◦	◦	NOUN
ejpam-3048	402	20	.	.	PUNCT
ejpam-3048	403	1	if	if	SCONJ
ejpam-3048	403	2	f	f	PROPN
ejpam-3048	403	3	′′q	′′q	VERB
ejpam-3048	403	4	is	be	AUX
ejpam-3048	403	5	a	a	DET
ejpam-3048	403	6	nonnegative	nonnegative	ADJ
ejpam-3048	403	7	mt(r;g	mt(r;g	NOUN
ejpam-3048	403	8	,	,	PUNCT
ejpam-3048	403	9	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	403	10	function	function	NOUN
ejpam-3048	403	11	on	on	ADP
ejpam-3048	403	12	k	k	PROPN
ejpam-3048	403	13	,	,	PUNCT
ejpam-3048	403	14	q	q	X
ejpam-3048	403	15	≥	≥	NOUN
ejpam-3048	403	16	1	1	NUM
ejpam-3048	403	17	,	,	PUNCT
ejpam-3048	403	18	then	then	ADV
ejpam-3048	403	19	for	for	ADP
ejpam-3048	403	20	α	α	PROPN
ejpam-3048	403	21	>	>	X
ejpam-3048	403	22	0	0	PUNCT
ejpam-3048	403	23	and	and	CCONJ
ejpam-3048	403	24	0	0	NUM
ejpam-3048	403	25	<	<	X
ejpam-3048	403	26	r	r	NOUN
ejpam-3048	403	27	≤	≤	NUM
ejpam-3048	403	28	1	1	NUM
ejpam-3048	403	29	,	,	PUNCT
ejpam-3048	403	30	we	we	PRON
ejpam-3048	403	31	have	have	VERB
ejpam-3048	403	32	|if	|if	NUM
ejpam-3048	403	33	,	,	PUNCT
ejpam-3048	403	34	g	g	NOUN
ejpam-3048	403	35	,	,	PUNCT
ejpam-3048	403	36	η,ϕ(x;α	η,ϕ(x;α	ADV
ejpam-3048	403	37	,	,	PUNCT
ejpam-3048	403	38	n	n	CCONJ
ejpam-3048	403	39	,	,	PUNCT
ejpam-3048	403	40	m	m	PROPN
ejpam-3048	403	41	,	,	PUNCT
ejpam-3048	403	42	a	a	PRON
ejpam-3048	403	43	,	,	PUNCT
ejpam-3048	403	44	b)|	b)|	ADJ
ejpam-3048	403	45	≤	≤	NOUN
ejpam-3048	403	46	(	(	PUNCT
ejpam-3048	403	47	m	m	NOUN
ejpam-3048	403	48	2	2	NUM
ejpam-3048	403	49	)	)	PUNCT
ejpam-3048	403	50	1	1	NUM
ejpam-3048	403	51	rq	rq	NOUN
ejpam-3048	403	52	h	h	NOUN
ejpam-3048	403	53	1−	1−	NUM
ejpam-3048	403	54	1	1	NUM
ejpam-3048	403	55	q	q	PROPN
ejpam-3048	403	56	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	403	57	)	)	PUNCT
ejpam-3048	403	58	,	,	PUNCT
ejpam-3048	403	59	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	403	60	×	×	NOUN
ejpam-3048	403	61	{	{	PUNCT
ejpam-3048	403	62	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	403	63	)	)	PUNCT
ejpam-3048	403	64	,	,	PUNCT
ejpam-3048	404	1	ϕ(a),m)|α+2	ϕ(a),m)|α+2	VERB
ejpam-3048	404	2	×	×	VERB
ejpam-3048	405	1	[	[	X
ejpam-3048	405	2	(	(	PUNCT
ejpam-3048	405	3	β(n+	β(n+	NUM
ejpam-3048	405	4	2	2	NUM
ejpam-3048	405	5	,	,	PUNCT
ejpam-3048	405	6	α−	α−	ADP
ejpam-3048	405	7	n)bg(1	n)bg(1	NOUN
ejpam-3048	405	8	)	)	PUNCT
ejpam-3048	405	9	(	(	PUNCT
ejpam-3048	405	10	1−	1−	NUM
ejpam-3048	405	11	1	1	NUM
ejpam-3048	405	12	2r	2r	NUM
ejpam-3048	405	13	,	,	PUNCT
ejpam-3048	405	14	1	1	NUM
ejpam-3048	405	15	+	+	SYM
ejpam-3048	405	16	1	1	NUM
ejpam-3048	405	17	2r	2r	NUM
ejpam-3048	405	18	)	)	PUNCT
ejpam-3048	406	1	−d(g(t);α	−d(g(t);α	ADP
ejpam-3048	406	2	,	,	PUNCT
ejpam-3048	406	3	n	n	CCONJ
ejpam-3048	406	4	,	,	PUNCT
ejpam-3048	406	5	r	r	NOUN
ejpam-3048	406	6	)	)	PUNCT
ejpam-3048	406	7	)	)	PUNCT
ejpam-3048	407	1	r	r	NOUN
ejpam-3048	407	2	f	f	PROPN
ejpam-3048	407	3	′′(ϕ(a))rq	′′(ϕ(a))rq	PROPN
ejpam-3048	407	4	+	+	CCONJ
ejpam-3048	407	5	(	(	PUNCT
ejpam-3048	407	6	β(n+	β(n+	NUM
ejpam-3048	407	7	2	2	NUM
ejpam-3048	407	8	,	,	PUNCT
ejpam-3048	407	9	α−	α−	ADP
ejpam-3048	407	10	n)bg(1	n)bg(1	NOUN
ejpam-3048	407	11	)	)	PUNCT
ejpam-3048	407	12	(	(	PUNCT
ejpam-3048	407	13	1	1	NUM
ejpam-3048	407	14	+	+	SYM
ejpam-3048	407	15	1	1	NUM
ejpam-3048	407	16	2r	2r	NUM
ejpam-3048	407	17	,	,	PUNCT
ejpam-3048	407	18	1−	1−	NUM
ejpam-3048	407	19	1	1	NUM
ejpam-3048	407	20	2r	2r	NUM
ejpam-3048	407	21	)	)	PUNCT
ejpam-3048	407	22	−	−	PROPN
ejpam-3048	408	1	c(g(t);α	c(g(t);α	PROPN
ejpam-3048	408	2	,	,	PUNCT
ejpam-3048	408	3	n	n	CCONJ
ejpam-3048	408	4	,	,	PUNCT
ejpam-3048	408	5	r	r	NOUN
ejpam-3048	408	6	)	)	PUNCT
ejpam-3048	408	7	)	)	PUNCT
ejpam-3048	409	1	r	r	NOUN
ejpam-3048	409	2	f	f	NOUN
ejpam-3048	409	3	′′(ϕ(x))rq	′′(ϕ(x))rq	NUM
ejpam-3048	409	4	]	]	PUNCT
ejpam-3048	409	5	1	1	NUM
ejpam-3048	409	6	rq	rq	X
ejpam-3048	409	7	+	+	PROPN
ejpam-3048	409	8	|η(ϕ(x	|η(ϕ(x	X
ejpam-3048	409	9	)	)	PUNCT
ejpam-3048	409	10	,	,	PUNCT
ejpam-3048	409	11	ϕ(b),m)|α+2	ϕ(b),m)|α+2	PRON
ejpam-3048	409	12	×	×	NOUN
ejpam-3048	410	1	[	[	X
ejpam-3048	410	2	(	(	PUNCT
ejpam-3048	410	3	β(n+	β(n+	NUM
ejpam-3048	410	4	2	2	NUM
ejpam-3048	410	5	,	,	PUNCT
ejpam-3048	410	6	α−	α−	ADP
ejpam-3048	410	7	n)bg(1	n)bg(1	NOUN
ejpam-3048	410	8	)	)	PUNCT
ejpam-3048	410	9	(	(	PUNCT
ejpam-3048	410	10	1−	1−	NUM
ejpam-3048	410	11	1	1	NUM
ejpam-3048	410	12	2r	2r	NUM
ejpam-3048	410	13	,	,	PUNCT
ejpam-3048	410	14	1	1	NUM
ejpam-3048	410	15	+	+	SYM
ejpam-3048	410	16	1	1	NUM
ejpam-3048	410	17	2r	2r	NUM
ejpam-3048	410	18	)	)	PUNCT
ejpam-3048	411	1	−d(g(t);α	−d(g(t);α	ADP
ejpam-3048	411	2	,	,	PUNCT
ejpam-3048	411	3	n	n	CCONJ
ejpam-3048	411	4	,	,	PUNCT
ejpam-3048	411	5	r	r	NOUN
ejpam-3048	411	6	)	)	PUNCT
ejpam-3048	411	7	)	)	PUNCT
ejpam-3048	412	1	r	r	NOUN
ejpam-3048	412	2	f	f	PROPN
ejpam-3048	412	3	′′(ϕ(b))rq	′′(ϕ(b))rq	PROPN
ejpam-3048	413	1	+	+	CCONJ
ejpam-3048	413	2	(	(	PUNCT
ejpam-3048	413	3	β(n+	β(n+	NUM
ejpam-3048	413	4	2	2	NUM
ejpam-3048	413	5	,	,	PUNCT
ejpam-3048	413	6	α−	α−	ADP
ejpam-3048	413	7	n)bg(1	n)bg(1	NOUN
ejpam-3048	413	8	)	)	PUNCT
ejpam-3048	413	9	(	(	PUNCT
ejpam-3048	413	10	1	1	NUM
ejpam-3048	413	11	+	+	SYM
ejpam-3048	413	12	1	1	NUM
ejpam-3048	413	13	2r	2r	NUM
ejpam-3048	413	14	,	,	PUNCT
ejpam-3048	413	15	1−	1−	NUM
ejpam-3048	413	16	1	1	NUM
ejpam-3048	413	17	2r	2r	NUM
ejpam-3048	413	18	)	)	PUNCT
ejpam-3048	414	1	−	−	PROPN
ejpam-3048	414	2	c(g(t);α	c(g(t);α	PROPN
ejpam-3048	414	3	,	,	PUNCT
ejpam-3048	414	4	n	n	CCONJ
ejpam-3048	414	5	,	,	PUNCT
ejpam-3048	414	6	r	r	NOUN
ejpam-3048	414	7	)	)	PUNCT
ejpam-3048	414	8	)	)	PUNCT
ejpam-3048	415	1	r	r	NOUN
ejpam-3048	415	2	f	f	NOUN
ejpam-3048	415	3	′′(ϕ(x))rq	′′(ϕ(x))rq	PROPN
ejpam-3048	415	4	]	]	PUNCT
ejpam-3048	415	5	1	1	NUM
ejpam-3048	415	6	rq	rq	NOUN
ejpam-3048	415	7	}	}	PUNCT
ejpam-3048	415	8	,	,	PUNCT
ejpam-3048	415	9	(	(	PUNCT
ejpam-3048	415	10	8)	8)	NUM
ejpam-3048	415	11	where	where	SCONJ
ejpam-3048	415	12	h	h	NOUN
ejpam-3048	415	13	=	=	SYM
ejpam-3048	415	14	∫	∫	PROPN
ejpam-3048	416	1	1	1	NUM
ejpam-3048	416	2	0	0	NUM
ejpam-3048	416	3	[	[	PUNCT
ejpam-3048	416	4	β(n+	β(n+	NUM
ejpam-3048	416	5	2	2	NUM
ejpam-3048	416	6	,	,	PUNCT
ejpam-3048	416	7	α−	α−	ADP
ejpam-3048	416	8	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	416	9	2	2	NUM
ejpam-3048	416	10	,	,	PUNCT
ejpam-3048	416	11	α−	α−	ADP
ejpam-3048	416	12	n	n	CCONJ
ejpam-3048	416	13	)	)	PUNCT
ejpam-3048	416	14	]	]	PUNCT
ejpam-3048	417	1	d[g(t	d[g(t	PROPN
ejpam-3048	417	2	)	)	PUNCT
ejpam-3048	417	3	]	]	PUNCT
ejpam-3048	418	1	=	=	PUNCT
ejpam-3048	418	2	β(n+	β(n+	PUNCT
ejpam-3048	418	3	2	2	NUM
ejpam-3048	418	4	,	,	PUNCT
ejpam-3048	418	5	α−	α−	ADP
ejpam-3048	418	6	n)(g(1)−	n)(g(1)−	PROPN
ejpam-3048	418	7	g(0))−	g(0))−	PROPN
ejpam-3048	418	8	g(1)bg(1)(n+	g(1)bg(1)(n+	PROPN
ejpam-3048	418	9	2	2	NUM
ejpam-3048	418	10	,	,	PUNCT
ejpam-3048	418	11	α−	α−	ADP
ejpam-3048	418	12	n	n	CCONJ
ejpam-3048	418	13	)	)	PUNCT
ejpam-3048	419	1	+	+	NOUN
ejpam-3048	419	2	bg(1)(n+	bg(1)(n+	PROPN
ejpam-3048	419	3	3	3	NUM
ejpam-3048	419	4	,	,	PUNCT
ejpam-3048	419	5	α−	α−	ADP
ejpam-3048	419	6	n	n	CCONJ
ejpam-3048	419	7	)	)	PUNCT
ejpam-3048	419	8	;	;	PUNCT
ejpam-3048	419	9	c(g(t);α	c(g(t);α	PROPN
ejpam-3048	419	10	,	,	PUNCT
ejpam-3048	419	11	n	n	CCONJ
ejpam-3048	419	12	,	,	PUNCT
ejpam-3048	419	13	r	r	NOUN
ejpam-3048	419	14	)	)	PUNCT
ejpam-3048	419	15	=	=	SYM
ejpam-3048	419	16	∫	∫	PROPN
ejpam-3048	419	17	1	1	NUM
ejpam-3048	419	18	0	0	NUM
ejpam-3048	419	19	bg(t)(n+	bg(t)(n+	PROPN
ejpam-3048	419	20	2	2	NUM
ejpam-3048	419	21	,	,	PUNCT
ejpam-3048	419	22	α−	α−	ADP
ejpam-3048	419	23	n	n	CCONJ
ejpam-3048	419	24	)	)	PUNCT
ejpam-3048	419	25	(	(	PUNCT
ejpam-3048	419	26	√	√	NUM
ejpam-3048	419	27	g(t	g(t	PROPN
ejpam-3048	419	28	)	)	PUNCT
ejpam-3048	419	29	1−	1−	NUM
ejpam-3048	420	1	g(t	g(t	PROPN
ejpam-3048	420	2	)	)	PUNCT
ejpam-3048	420	3	)	)	PUNCT
ejpam-3048	420	4	1	1	NUM
ejpam-3048	420	5	r	r	NOUN
ejpam-3048	420	6	d[g(t	d[g(t	PROPN
ejpam-3048	420	7	)	)	PUNCT
ejpam-3048	421	1	]	]	X
ejpam-3048	421	2	;	;	PUNCT
ejpam-3048	421	3	a.	a.	NOUN
ejpam-3048	421	4	fundo	fundo	PROPN
ejpam-3048	421	5	,	,	PUNCT
ejpam-3048	421	6	a.	a.	NOUN
ejpam-3048	421	7	kashuri	kashuri	PROPN
ejpam-3048	421	8	,	,	PUNCT
ejpam-3048	421	9	m.	m.	NOUN
ejpam-3048	421	10	ramosaço	ramosaço	PROPN
ejpam-3048	421	11	,	,	PUNCT
ejpam-3048	421	12	r.	r.	PROPN
ejpam-3048	421	13	liko	liko	PROPN
ejpam-3048	421	14	/	/	SYM
ejpam-3048	421	15	eur	eur	PROPN
ejpam-3048	421	16	.	.	PUNCT
ejpam-3048	422	1	j.	j.	PROPN
ejpam-3048	422	2	pure	pure	PROPN
ejpam-3048	422	3	appl	appl	PROPN
ejpam-3048	422	4	.	.	PROPN
ejpam-3048	422	5	math	math	PROPN
ejpam-3048	422	6	,	,	PUNCT
ejpam-3048	422	7	10	10	NUM
ejpam-3048	422	8	(	(	PUNCT
ejpam-3048	422	9	4	4	NUM
ejpam-3048	422	10	)	)	PUNCT
ejpam-3048	422	11	(	(	PUNCT
ejpam-3048	422	12	2017	2017	NUM
ejpam-3048	422	13	)	)	PUNCT
ejpam-3048	422	14	,	,	PUNCT
ejpam-3048	422	15	809	809	NUM
ejpam-3048	422	16	-	-	SYM
ejpam-3048	422	17	834	834	NUM
ejpam-3048	422	18	824	824	NUM
ejpam-3048	422	19	d(g(t);α	d(g(t);α	NOUN
ejpam-3048	422	20	,	,	PUNCT
ejpam-3048	422	21	n	n	CCONJ
ejpam-3048	422	22	,	,	PUNCT
ejpam-3048	422	23	r	r	NOUN
ejpam-3048	422	24	)	)	PUNCT
ejpam-3048	422	25	=	=	SYM
ejpam-3048	423	1	∫	∫	PROPN
ejpam-3048	423	2	1	1	NUM
ejpam-3048	423	3	0	0	NUM
ejpam-3048	423	4	bg(t)(n+	bg(t)(n+	PROPN
ejpam-3048	423	5	2	2	NUM
ejpam-3048	423	6	,	,	PUNCT
ejpam-3048	423	7	α−	α−	ADP
ejpam-3048	423	8	n	n	CCONJ
ejpam-3048	423	9	)	)	PUNCT
ejpam-3048	423	10	(	(	PUNCT
ejpam-3048	423	11	√	√	PROPN
ejpam-3048	423	12	1−	1−	NUM
ejpam-3048	423	13	g(t	g(t	PROPN
ejpam-3048	423	14	)	)	PUNCT
ejpam-3048	423	15	g(t	g(t	PROPN
ejpam-3048	423	16	)	)	PUNCT
ejpam-3048	423	17	)	)	PUNCT
ejpam-3048	423	18	1	1	NUM
ejpam-3048	423	19	r	r	NOUN
ejpam-3048	423	20	d[g(t	d[g(t	PROPN
ejpam-3048	423	21	)	)	PUNCT
ejpam-3048	423	22	]	]	PUNCT
ejpam-3048	423	23	.	.	PUNCT
ejpam-3048	424	1	proof	proof	NOUN
ejpam-3048	424	2	.	.	PUNCT
ejpam-3048	425	1	suppose	suppose	VERB
ejpam-3048	425	2	that	that	SCONJ
ejpam-3048	425	3	q	q	PROPN
ejpam-3048	425	4	≥	≥	NUM
ejpam-3048	425	5	1	1	NUM
ejpam-3048	425	6	and	and	CCONJ
ejpam-3048	425	7	0	0	NUM
ejpam-3048	426	1	<	<	X
ejpam-3048	426	2	r	r	NOUN
ejpam-3048	426	3	≤	≤	NUM
ejpam-3048	426	4	1	1	NUM
ejpam-3048	426	5	.	.	PUNCT
ejpam-3048	426	6	using	use	VERB
ejpam-3048	426	7	relation	relation	NOUN
ejpam-3048	426	8	(	(	PUNCT
ejpam-3048	426	9	6	6	NUM
ejpam-3048	426	10	)	)	PUNCT
ejpam-3048	426	11	,	,	PUNCT
ejpam-3048	426	12	the	the	DET
ejpam-3048	426	13	well	well	ADV
ejpam-3048	426	14	-	-	PUNCT
ejpam-3048	426	15	known	know	VERB
ejpam-3048	426	16	power	power	NOUN
ejpam-3048	426	17	mean	mean	NOUN
ejpam-3048	426	18	inequality	inequality	NOUN
ejpam-3048	426	19	,	,	PUNCT
ejpam-3048	426	20	the	the	DET
ejpam-3048	426	21	fact	fact	NOUN
ejpam-3048	426	22	that	that	SCONJ
ejpam-3048	426	23	f	f	PROPN
ejpam-3048	426	24	′′q	′′q	NOUN
ejpam-3048	426	25	is	be	AUX
ejpam-3048	426	26	a	a	DET
ejpam-3048	426	27	nonnegative	nonnegative	ADJ
ejpam-3048	426	28	mt(r;g	mt(r;g	NOUN
ejpam-3048	426	29	,	,	PUNCT
ejpam-3048	426	30	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	426	31	function	function	NOUN
ejpam-3048	426	32	on	on	ADP
ejpam-3048	426	33	an	an	DET
ejpam-3048	426	34	open	open	ADJ
ejpam-3048	426	35	m	m	NOUN
ejpam-3048	426	36	-	-	PUNCT
ejpam-3048	426	37	invex	invex	NOUN
ejpam-3048	426	38	set	set	VERB
ejpam-3048	426	39	k	k	PROPN
ejpam-3048	426	40	◦	◦	NOUN
ejpam-3048	426	41	,	,	PUNCT
ejpam-3048	426	42	combining	combine	VERB
ejpam-3048	426	43	with	with	ADP
ejpam-3048	426	44	minkowski	minkowski	ADJ
ejpam-3048	426	45	inequality	inequality	NOUN
ejpam-3048	426	46	for	for	ADP
ejpam-3048	426	47	all	all	DET
ejpam-3048	426	48	t	t	NOUN
ejpam-3048	426	49	∈	∈	PROPN
ejpam-3048	427	1	[	[	X
ejpam-3048	427	2	0	0	NUM
ejpam-3048	427	3	,	,	PUNCT
ejpam-3048	427	4	1	1	NUM
ejpam-3048	427	5	]	]	PUNCT
ejpam-3048	427	6	and	and	CCONJ
ejpam-3048	427	7	for	for	ADP
ejpam-3048	427	8	any	any	DET
ejpam-3048	427	9	fixed	fix	VERB
ejpam-3048	427	10	m	m	NOUN
ejpam-3048	427	11	∈	∈	NOUN
ejpam-3048	427	12	(	(	PUNCT
ejpam-3048	427	13	0	0	NUM
ejpam-3048	427	14	,	,	PUNCT
ejpam-3048	427	15	1	1	NUM
ejpam-3048	427	16	]	]	PUNCT
ejpam-3048	427	17	and	and	CCONJ
ejpam-3048	427	18	taking	take	VERB
ejpam-3048	427	19	the	the	DET
ejpam-3048	427	20	modulus	modulus	NOUN
ejpam-3048	427	21	,	,	PUNCT
ejpam-3048	427	22	we	we	PRON
ejpam-3048	427	23	have	have	VERB
ejpam-3048	427	24	|if	|if	NUM
ejpam-3048	427	25	,	,	PUNCT
ejpam-3048	427	26	g	g	NOUN
ejpam-3048	427	27	,	,	PUNCT
ejpam-3048	427	28	η,ϕ(x;α	η,ϕ(x;α	ADV
ejpam-3048	427	29	,	,	PUNCT
ejpam-3048	427	30	n	n	CCONJ
ejpam-3048	427	31	,	,	PUNCT
ejpam-3048	427	32	m	m	PROPN
ejpam-3048	427	33	,	,	PUNCT
ejpam-3048	427	34	a	a	PRON
ejpam-3048	427	35	,	,	PUNCT
ejpam-3048	427	36	b)|	b)|	ADJ
ejpam-3048	427	37	≤	≤	ADJ
ejpam-3048	427	38	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	427	39	)	)	PUNCT
ejpam-3048	427	40	,	,	PUNCT
ejpam-3048	427	41	ϕ(a),m)|α+2	ϕ(a),m)|α+2	PROPN
ejpam-3048	427	42	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	427	43	)	)	PUNCT
ejpam-3048	427	44	,	,	PUNCT
ejpam-3048	428	1	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	428	2	×	×	NOUN
ejpam-3048	428	3	∫	∫	NOUN
ejpam-3048	428	4	1	1	NUM
ejpam-3048	428	5	0	0	NUM
ejpam-3048	428	6	(	(	PUNCT
ejpam-3048	428	7	β(n+	β(n+	NUM
ejpam-3048	428	8	2	2	NUM
ejpam-3048	428	9	,	,	PUNCT
ejpam-3048	428	10	α−	α−	ADP
ejpam-3048	428	11	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	428	12	2	2	NUM
ejpam-3048	428	13	,	,	PUNCT
ejpam-3048	428	14	α−	α−	ADP
ejpam-3048	428	15	n	n	CCONJ
ejpam-3048	428	16	)	)	PUNCT
ejpam-3048	428	17	)	)	PUNCT
ejpam-3048	429	1	f	f	PROPN
ejpam-3048	429	2	′′(mϕ(a	′′(mϕ(a	PROPN
ejpam-3048	429	3	)	)	PUNCT
ejpam-3048	429	4	+	+	NUM
ejpam-3048	429	5	g(t)η(ϕ(x	g(t)η(ϕ(x	NOUN
ejpam-3048	429	6	)	)	PUNCT
ejpam-3048	429	7	,	,	PUNCT
ejpam-3048	429	8	ϕ(a),m))d[g(t	ϕ(a),m))d[g(t	NUM
ejpam-3048	429	9	)	)	PUNCT
ejpam-3048	429	10	]	]	PUNCT
ejpam-3048	430	1	+	+	CCONJ
ejpam-3048	430	2	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	430	3	)	)	PUNCT
ejpam-3048	430	4	,	,	PUNCT
ejpam-3048	430	5	ϕ(b),m)|α+2	ϕ(b),m)|α+2	NUM
ejpam-3048	430	6	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	430	7	)	)	PUNCT
ejpam-3048	430	8	,	,	PUNCT
ejpam-3048	431	1	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	431	2	×	×	NOUN
ejpam-3048	431	3	∫	∫	NOUN
ejpam-3048	431	4	1	1	NUM
ejpam-3048	431	5	0	0	NUM
ejpam-3048	431	6	(	(	PUNCT
ejpam-3048	431	7	β(n+	β(n+	NUM
ejpam-3048	431	8	2	2	NUM
ejpam-3048	431	9	,	,	PUNCT
ejpam-3048	431	10	α−	α−	ADP
ejpam-3048	431	11	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	431	12	2	2	NUM
ejpam-3048	431	13	,	,	PUNCT
ejpam-3048	431	14	α−	α−	ADP
ejpam-3048	431	15	n	n	CCONJ
ejpam-3048	431	16	)	)	PUNCT
ejpam-3048	431	17	)	)	PUNCT
ejpam-3048	432	1	f	f	PROPN
ejpam-3048	432	2	′′(mϕ(b	′′(mϕ(b	PROPN
ejpam-3048	432	3	)	)	PUNCT
ejpam-3048	432	4	+	+	NUM
ejpam-3048	432	5	g(t)η(ϕ(x	g(t)η(ϕ(x	NOUN
ejpam-3048	432	6	)	)	PUNCT
ejpam-3048	432	7	,	,	PUNCT
ejpam-3048	432	8	ϕ(b),m))d[g(t	ϕ(b),m))d[g(t	PROPN
ejpam-3048	432	9	)	)	PUNCT
ejpam-3048	432	10	]	]	PUNCT
ejpam-3048	433	1	≤	≤	NUM
ejpam-3048	433	2	|η(ϕ(x	|η(ϕ(x	NUM
ejpam-3048	433	3	)	)	PUNCT
ejpam-3048	433	4	,	,	PUNCT
ejpam-3048	433	5	ϕ(a),m)|α+2	ϕ(a),m)|α+2	PROPN
ejpam-3048	433	6	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	433	7	)	)	PUNCT
ejpam-3048	433	8	,	,	PUNCT
ejpam-3048	433	9	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	433	10	(	(	PUNCT
ejpam-3048	433	11	∫	∫	PROPN
ejpam-3048	433	12	1	1	NUM
ejpam-3048	433	13	0	0	NUM
ejpam-3048	433	14	[	[	PUNCT
ejpam-3048	433	15	β(n+	β(n+	NUM
ejpam-3048	433	16	2	2	NUM
ejpam-3048	433	17	,	,	PUNCT
ejpam-3048	433	18	α−	α−	ADP
ejpam-3048	433	19	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	433	20	2	2	NUM
ejpam-3048	433	21	,	,	PUNCT
ejpam-3048	433	22	α−	α−	ADP
ejpam-3048	433	23	n	n	CCONJ
ejpam-3048	433	24	)	)	PUNCT
ejpam-3048	433	25	]	]	PUNCT
ejpam-3048	434	1	d[g(t	d[g(t	PROPN
ejpam-3048	434	2	)	)	PUNCT
ejpam-3048	434	3	]	]	PUNCT
ejpam-3048	434	4	)	)	PUNCT
ejpam-3048	435	1	1−	1−	NUM
ejpam-3048	435	2	1	1	NUM
ejpam-3048	435	3	q	q	NOUN
ejpam-3048	435	4	×	×	NOUN
ejpam-3048	436	1	[	[	X
ejpam-3048	436	2	∫	∫	PROPN
ejpam-3048	436	3	1	1	NUM
ejpam-3048	436	4	0	0	NUM
ejpam-3048	436	5	[	[	PUNCT
ejpam-3048	436	6	β(n+	β(n+	NUM
ejpam-3048	436	7	2	2	NUM
ejpam-3048	436	8	,	,	PUNCT
ejpam-3048	436	9	α−	α−	ADP
ejpam-3048	436	10	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	436	11	2	2	NUM
ejpam-3048	436	12	,	,	PUNCT
ejpam-3048	436	13	α−	α−	ADP
ejpam-3048	436	14	n	n	CCONJ
ejpam-3048	436	15	)	)	PUNCT
ejpam-3048	436	16	]	]	PUNCT
ejpam-3048	436	17	×f	×f	PROPN
ejpam-3048	436	18	′′(mϕ(a	′′(mϕ(a	PROPN
ejpam-3048	436	19	)	)	PUNCT
ejpam-3048	436	20	+	+	NUM
ejpam-3048	436	21	g(t)η(ϕ(x	g(t)η(ϕ(x	NOUN
ejpam-3048	436	22	)	)	PUNCT
ejpam-3048	436	23	,	,	PUNCT
ejpam-3048	436	24	ϕ(a),m))qd[g(t	ϕ(a),m))qd[g(t	PROPN
ejpam-3048	436	25	)	)	PUNCT
ejpam-3048	436	26	]	]	PUNCT
ejpam-3048	436	27	]	]	PUNCT
ejpam-3048	436	28	1	1	NUM
ejpam-3048	436	29	q	q	NOUN
ejpam-3048	436	30	+	+	CCONJ
ejpam-3048	436	31	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	436	32	)	)	PUNCT
ejpam-3048	436	33	,	,	PUNCT
ejpam-3048	436	34	ϕ(b),m)|α+2	ϕ(b),m)|α+2	NUM
ejpam-3048	436	35	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	436	36	)	)	PUNCT
ejpam-3048	436	37	,	,	PUNCT
ejpam-3048	436	38	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	436	39	(	(	PUNCT
ejpam-3048	436	40	∫	∫	PROPN
ejpam-3048	436	41	1	1	NUM
ejpam-3048	436	42	0	0	NUM
ejpam-3048	436	43	[	[	PUNCT
ejpam-3048	436	44	β(n+	β(n+	NUM
ejpam-3048	436	45	2	2	NUM
ejpam-3048	436	46	,	,	PUNCT
ejpam-3048	436	47	α−	α−	ADP
ejpam-3048	436	48	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	436	49	2	2	NUM
ejpam-3048	436	50	,	,	PUNCT
ejpam-3048	436	51	α−	α−	ADP
ejpam-3048	436	52	n	n	CCONJ
ejpam-3048	436	53	)	)	PUNCT
ejpam-3048	436	54	]	]	PUNCT
ejpam-3048	437	1	d[g(t	d[g(t	PROPN
ejpam-3048	437	2	)	)	PUNCT
ejpam-3048	437	3	]	]	PUNCT
ejpam-3048	437	4	)	)	PUNCT
ejpam-3048	438	1	1−	1−	NUM
ejpam-3048	438	2	1	1	NUM
ejpam-3048	438	3	q	q	NOUN
ejpam-3048	438	4	×	×	NOUN
ejpam-3048	439	1	[	[	X
ejpam-3048	439	2	∫	∫	PROPN
ejpam-3048	439	3	1	1	NUM
ejpam-3048	439	4	0	0	NUM
ejpam-3048	439	5	[	[	PUNCT
ejpam-3048	439	6	β(n+	β(n+	NUM
ejpam-3048	439	7	2	2	NUM
ejpam-3048	439	8	,	,	PUNCT
ejpam-3048	439	9	α−	α−	ADP
ejpam-3048	439	10	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	439	11	2	2	NUM
ejpam-3048	439	12	,	,	PUNCT
ejpam-3048	439	13	α−	α−	ADP
ejpam-3048	439	14	n	n	CCONJ
ejpam-3048	439	15	)	)	PUNCT
ejpam-3048	439	16	]	]	PUNCT
ejpam-3048	439	17	×f	×f	PROPN
ejpam-3048	439	18	′′(mϕ(b	′′(mϕ(b	PROPN
ejpam-3048	439	19	)	)	PUNCT
ejpam-3048	439	20	+	+	NUM
ejpam-3048	439	21	g(t)η(ϕ(x	g(t)η(ϕ(x	NOUN
ejpam-3048	439	22	)	)	PUNCT
ejpam-3048	439	23	,	,	PUNCT
ejpam-3048	439	24	ϕ(b),m))qd[g(t	ϕ(b),m))qd[g(t	NOUN
ejpam-3048	439	25	)	)	PUNCT
ejpam-3048	439	26	]	]	PUNCT
ejpam-3048	439	27	]	]	PUNCT
ejpam-3048	439	28	1	1	NUM
ejpam-3048	439	29	q	q	PROPN
ejpam-3048	439	30	≤	≤	PROPN
ejpam-3048	439	31	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	439	32	)	)	PUNCT
ejpam-3048	439	33	,	,	PUNCT
ejpam-3048	439	34	ϕ(a),m)|α+2	ϕ(a),m)|α+2	PROPN
ejpam-3048	439	35	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	439	36	)	)	PUNCT
ejpam-3048	439	37	,	,	PUNCT
ejpam-3048	439	38	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	439	39	(	(	PUNCT
ejpam-3048	439	40	∫	∫	PROPN
ejpam-3048	439	41	1	1	NUM
ejpam-3048	439	42	0	0	NUM
ejpam-3048	439	43	[	[	PUNCT
ejpam-3048	439	44	β(n+	β(n+	NUM
ejpam-3048	439	45	2	2	NUM
ejpam-3048	439	46	,	,	PUNCT
ejpam-3048	439	47	α−	α−	ADP
ejpam-3048	439	48	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	439	49	2	2	NUM
ejpam-3048	439	50	,	,	PUNCT
ejpam-3048	439	51	α−	α−	ADP
ejpam-3048	439	52	n	n	CCONJ
ejpam-3048	439	53	)	)	PUNCT
ejpam-3048	439	54	]	]	PUNCT
ejpam-3048	440	1	d[g(t	d[g(t	PROPN
ejpam-3048	440	2	)	)	PUNCT
ejpam-3048	440	3	]	]	PUNCT
ejpam-3048	440	4	)	)	PUNCT
ejpam-3048	441	1	1−	1−	NUM
ejpam-3048	441	2	1	1	NUM
ejpam-3048	441	3	q	q	NOUN
ejpam-3048	441	4	×	×	NOUN
ejpam-3048	442	1	[	[	X
ejpam-3048	442	2	∫	∫	PROPN
ejpam-3048	442	3	1	1	NUM
ejpam-3048	442	4	0	0	NUM
ejpam-3048	442	5	[	[	PUNCT
ejpam-3048	442	6	β(n+	β(n+	NUM
ejpam-3048	442	7	2	2	NUM
ejpam-3048	442	8	,	,	PUNCT
ejpam-3048	442	9	α−	α−	ADP
ejpam-3048	442	10	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	442	11	2	2	NUM
ejpam-3048	442	12	,	,	PUNCT
ejpam-3048	442	13	α−	α−	ADP
ejpam-3048	442	14	n	n	CCONJ
ejpam-3048	442	15	)	)	PUNCT
ejpam-3048	442	16	]	]	PUNCT
ejpam-3048	442	17	a.	a.	NOUN
ejpam-3048	442	18	fundo	fundo	PROPN
ejpam-3048	442	19	,	,	PUNCT
ejpam-3048	442	20	a.	a.	NOUN
ejpam-3048	442	21	kashuri	kashuri	PROPN
ejpam-3048	442	22	,	,	PUNCT
ejpam-3048	442	23	m.	m.	NOUN
ejpam-3048	442	24	ramosaço	ramosaço	PROPN
ejpam-3048	442	25	,	,	PUNCT
ejpam-3048	442	26	r.	r.	PROPN
ejpam-3048	442	27	liko	liko	PROPN
ejpam-3048	442	28	/	/	SYM
ejpam-3048	442	29	eur	eur	PROPN
ejpam-3048	442	30	.	.	PUNCT
ejpam-3048	443	1	j.	j.	PROPN
ejpam-3048	443	2	pure	pure	PROPN
ejpam-3048	443	3	appl	appl	PROPN
ejpam-3048	443	4	.	.	PROPN
ejpam-3048	443	5	math	math	PROPN
ejpam-3048	443	6	,	,	PUNCT
ejpam-3048	443	7	10	10	NUM
ejpam-3048	443	8	(	(	PUNCT
ejpam-3048	443	9	4	4	NUM
ejpam-3048	443	10	)	)	PUNCT
ejpam-3048	443	11	(	(	PUNCT
ejpam-3048	443	12	2017	2017	NUM
ejpam-3048	443	13	)	)	PUNCT
ejpam-3048	443	14	,	,	PUNCT
ejpam-3048	443	15	809	809	NUM
ejpam-3048	443	16	-	-	SYM
ejpam-3048	443	17	834	834	NUM
ejpam-3048	443	18	825	825	NUM
ejpam-3048	443	19	×	×	NOUN
ejpam-3048	443	20	[	[	PUNCT
ejpam-3048	443	21	m	m	NOUN
ejpam-3048	443	22	√	√	NOUN
ejpam-3048	443	23	g(t	g(t	PROPN
ejpam-3048	443	24	)	)	PUNCT
ejpam-3048	443	25	2	2	NUM
ejpam-3048	443	26	√	√	NUM
ejpam-3048	443	27	1−	1−	NUM
ejpam-3048	443	28	g(t	g(t	PROPN
ejpam-3048	443	29	)	)	PUNCT
ejpam-3048	443	30	f	f	PROPN
ejpam-3048	444	1	′′(ϕ(x))rq	′′(ϕ(x))rq	PROPN
ejpam-3048	444	2	+	+	NUM
ejpam-3048	444	3	m	m	VERB
ejpam-3048	444	4	√	√	ADJ
ejpam-3048	444	5	1−	1−	NUM
ejpam-3048	444	6	g(t	g(t	PROPN
ejpam-3048	444	7	)	)	PUNCT
ejpam-3048	444	8	2	2	NUM
ejpam-3048	444	9	√	√	PROPN
ejpam-3048	444	10	g(t	g(t	PROPN
ejpam-3048	444	11	)	)	PUNCT
ejpam-3048	444	12	f	f	PROPN
ejpam-3048	445	1	′′(ϕ(a))rq	′′(ϕ(a))rq	PROPN
ejpam-3048	445	2	]	]	SYM
ejpam-3048	445	3	1	1	NUM
ejpam-3048	445	4	r	r	NOUN
ejpam-3048	445	5	d[g(t	d[g(t	PROPN
ejpam-3048	445	6	)	)	PUNCT
ejpam-3048	445	7	]	]	PUNCT
ejpam-3048	445	8	]	]	PUNCT
ejpam-3048	445	9	1	1	NUM
ejpam-3048	445	10	q	q	NOUN
ejpam-3048	445	11	+	+	CCONJ
ejpam-3048	445	12	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	445	13	)	)	PUNCT
ejpam-3048	445	14	,	,	PUNCT
ejpam-3048	445	15	ϕ(b),m)|α+2	ϕ(b),m)|α+2	NUM
ejpam-3048	445	16	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	445	17	)	)	PUNCT
ejpam-3048	445	18	,	,	PUNCT
ejpam-3048	445	19	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	445	20	(	(	PUNCT
ejpam-3048	445	21	∫	∫	PROPN
ejpam-3048	445	22	1	1	NUM
ejpam-3048	445	23	0	0	NUM
ejpam-3048	445	24	[	[	PUNCT
ejpam-3048	445	25	β(n+	β(n+	NUM
ejpam-3048	445	26	2	2	NUM
ejpam-3048	445	27	,	,	PUNCT
ejpam-3048	445	28	α−	α−	ADP
ejpam-3048	445	29	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	445	30	2	2	NUM
ejpam-3048	445	31	,	,	PUNCT
ejpam-3048	445	32	α−	α−	ADP
ejpam-3048	445	33	n	n	CCONJ
ejpam-3048	445	34	)	)	PUNCT
ejpam-3048	445	35	]	]	PUNCT
ejpam-3048	445	36	d[g(t	d[g(t	PROPN
ejpam-3048	445	37	)	)	PUNCT
ejpam-3048	445	38	]	]	PUNCT
ejpam-3048	445	39	)	)	PUNCT
ejpam-3048	445	40	1−	1−	NUM
ejpam-3048	446	1	1	1	NUM
ejpam-3048	446	2	q	q	NOUN
ejpam-3048	446	3	×	×	NOUN
ejpam-3048	447	1	[	[	X
ejpam-3048	447	2	∫	∫	PROPN
ejpam-3048	447	3	1	1	NUM
ejpam-3048	447	4	0	0	NUM
ejpam-3048	447	5	[	[	PUNCT
ejpam-3048	447	6	β(n+	β(n+	NUM
ejpam-3048	447	7	2	2	NUM
ejpam-3048	447	8	,	,	PUNCT
ejpam-3048	447	9	α−	α−	ADP
ejpam-3048	447	10	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	447	11	2	2	NUM
ejpam-3048	447	12	,	,	PUNCT
ejpam-3048	447	13	α−	α−	ADP
ejpam-3048	447	14	n	n	CCONJ
ejpam-3048	447	15	)	)	PUNCT
ejpam-3048	447	16	]	]	PUNCT
ejpam-3048	448	1	×	×	PROPN
ejpam-3048	448	2	[	[	PUNCT
ejpam-3048	448	3	m	m	NOUN
ejpam-3048	448	4	√	√	NOUN
ejpam-3048	448	5	g(t	g(t	PROPN
ejpam-3048	448	6	)	)	PUNCT
ejpam-3048	448	7	2	2	NUM
ejpam-3048	448	8	√	√	NUM
ejpam-3048	448	9	1−	1−	NUM
ejpam-3048	448	10	g(t	g(t	PROPN
ejpam-3048	448	11	)	)	PUNCT
ejpam-3048	448	12	f	f	PROPN
ejpam-3048	449	1	′′(ϕ(x))rq	′′(ϕ(x))rq	PROPN
ejpam-3048	449	2	+	+	NUM
ejpam-3048	449	3	m	m	VERB
ejpam-3048	449	4	√	√	ADJ
ejpam-3048	449	5	1−	1−	NUM
ejpam-3048	449	6	g(t	g(t	PROPN
ejpam-3048	449	7	)	)	PUNCT
ejpam-3048	449	8	2	2	NUM
ejpam-3048	449	9	√	√	NUM
ejpam-3048	449	10	g(t	g(t	PROPN
ejpam-3048	449	11	)	)	PUNCT
ejpam-3048	449	12	f	f	PROPN
ejpam-3048	450	1	′′(ϕ(b))rq	′′(ϕ(b))rq	NOUN
ejpam-3048	450	2	]	]	SYM
ejpam-3048	450	3	1	1	NUM
ejpam-3048	450	4	r	r	NOUN
ejpam-3048	450	5	d[g(t	d[g(t	PROPN
ejpam-3048	450	6	)	)	PUNCT
ejpam-3048	450	7	]	]	PUNCT
ejpam-3048	451	1	]	]	PUNCT
ejpam-3048	451	2	1	1	NUM
ejpam-3048	451	3	q	q	NOUN
ejpam-3048	451	4	≤	≤	NUM
ejpam-3048	451	5	(	(	PUNCT
ejpam-3048	451	6	m	m	NOUN
ejpam-3048	451	7	2	2	NUM
ejpam-3048	451	8	)	)	PUNCT
ejpam-3048	451	9	1	1	NUM
ejpam-3048	451	10	rq	rq	NOUN
ejpam-3048	451	11	h	h	NOUN
ejpam-3048	451	12	1−	1−	NUM
ejpam-3048	451	13	1	1	NUM
ejpam-3048	451	14	q	q	PROPN
ejpam-3048	451	15	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	451	16	)	)	PUNCT
ejpam-3048	451	17	,	,	PUNCT
ejpam-3048	451	18	ϕ(a),m)|α+2	ϕ(a),m)|α+2	PROPN
ejpam-3048	451	19	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	451	20	)	)	PUNCT
ejpam-3048	451	21	,	,	PUNCT
ejpam-3048	452	1	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	452	2	×	×	NOUN
ejpam-3048	453	1	[	[	X
ejpam-3048	453	2	∫	∫	NUM
ejpam-3048	453	3	1	1	NUM
ejpam-3048	453	4	0	0	NUM
ejpam-3048	453	5	(	(	PUNCT
ejpam-3048	453	6	√	√	PROPN
ejpam-3048	453	7	1−	1−	NUM
ejpam-3048	453	8	g(t	g(t	PROPN
ejpam-3048	453	9	)	)	PUNCT
ejpam-3048	453	10	g(t	g(t	PROPN
ejpam-3048	453	11	)	)	PUNCT
ejpam-3048	453	12	)	)	PUNCT
ejpam-3048	453	13	1	1	NUM
ejpam-3048	453	14	r	r	NOUN
ejpam-3048	453	15	[	[	PUNCT
ejpam-3048	453	16	β(n+	β(n+	NUM
ejpam-3048	453	17	2	2	NUM
ejpam-3048	453	18	,	,	PUNCT
ejpam-3048	453	19	α−	α−	ADP
ejpam-3048	453	20	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	453	21	2	2	NUM
ejpam-3048	453	22	,	,	PUNCT
ejpam-3048	453	23	α−	α−	ADP
ejpam-3048	453	24	n	n	CCONJ
ejpam-3048	453	25	)	)	PUNCT
ejpam-3048	453	26	]	]	PUNCT
ejpam-3048	453	27	f	f	PROPN
ejpam-3048	453	28	′′(ϕ(a))qd[g(t	′′(ϕ(a))qd[g(t	NOUN
ejpam-3048	453	29	)	)	PUNCT
ejpam-3048	453	30	]	]	PUNCT
ejpam-3048	453	31	r	r	PUNCT
ejpam-3048	454	1	+	+	CCONJ
ejpam-3048	454	2	∫	∫	NUM
ejpam-3048	454	3	1	1	NUM
ejpam-3048	454	4	0	0	NUM
ejpam-3048	454	5	(	(	PUNCT
ejpam-3048	454	6	√	√	PROPN
ejpam-3048	454	7	g(t	g(t	PROPN
ejpam-3048	454	8	)	)	PUNCT
ejpam-3048	454	9	1−	1−	NUM
ejpam-3048	454	10	g(t	g(t	PROPN
ejpam-3048	454	11	)	)	PUNCT
ejpam-3048	454	12	)	)	PUNCT
ejpam-3048	454	13	1	1	NUM
ejpam-3048	454	14	r	r	NOUN
ejpam-3048	454	15	[	[	PUNCT
ejpam-3048	454	16	β(n+	β(n+	NUM
ejpam-3048	454	17	2	2	NUM
ejpam-3048	454	18	,	,	PUNCT
ejpam-3048	454	19	α−	α−	ADP
ejpam-3048	454	20	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	454	21	2	2	NUM
ejpam-3048	454	22	,	,	PUNCT
ejpam-3048	454	23	α−	α−	ADP
ejpam-3048	454	24	n	n	CCONJ
ejpam-3048	454	25	)	)	PUNCT
ejpam-3048	454	26	]	]	PUNCT
ejpam-3048	454	27	f	f	PROPN
ejpam-3048	454	28	′′(ϕ(x))qd[g(t	′′(ϕ(x))qd[g(t	NUM
ejpam-3048	454	29	)	)	PUNCT
ejpam-3048	454	30	]	]	PUNCT
ejpam-3048	454	31	r	r	PUNCT
ejpam-3048	455	1	]	]	PUNCT
ejpam-3048	455	2	1	1	NUM
ejpam-3048	455	3	rq	rq	NOUN
ejpam-3048	455	4	+	+	X
ejpam-3048	455	5	(	(	PUNCT
ejpam-3048	455	6	m	m	NOUN
ejpam-3048	455	7	2	2	NUM
ejpam-3048	455	8	)	)	PUNCT
ejpam-3048	455	9	1	1	NUM
ejpam-3048	455	10	rq	rq	NOUN
ejpam-3048	455	11	h	h	NOUN
ejpam-3048	455	12	1−	1−	NUM
ejpam-3048	455	13	1	1	NUM
ejpam-3048	455	14	q	q	PROPN
ejpam-3048	455	15	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	455	16	)	)	PUNCT
ejpam-3048	455	17	,	,	PUNCT
ejpam-3048	455	18	ϕ(b),m)|α+2	ϕ(b),m)|α+2	NUM
ejpam-3048	455	19	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	455	20	)	)	PUNCT
ejpam-3048	455	21	,	,	PUNCT
ejpam-3048	456	1	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	456	2	×	×	NOUN
ejpam-3048	457	1	[	[	X
ejpam-3048	457	2	∫	∫	NUM
ejpam-3048	457	3	1	1	NUM
ejpam-3048	457	4	0	0	NUM
ejpam-3048	457	5	(	(	PUNCT
ejpam-3048	457	6	√	√	PROPN
ejpam-3048	457	7	1−	1−	NUM
ejpam-3048	457	8	g(t	g(t	PROPN
ejpam-3048	457	9	)	)	PUNCT
ejpam-3048	457	10	g(t	g(t	PROPN
ejpam-3048	457	11	)	)	PUNCT
ejpam-3048	457	12	)	)	PUNCT
ejpam-3048	457	13	1	1	NUM
ejpam-3048	457	14	r	r	NOUN
ejpam-3048	457	15	[	[	PUNCT
ejpam-3048	457	16	β(n+	β(n+	NUM
ejpam-3048	457	17	2	2	NUM
ejpam-3048	457	18	,	,	PUNCT
ejpam-3048	457	19	α−	α−	ADP
ejpam-3048	457	20	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	457	21	2	2	NUM
ejpam-3048	457	22	,	,	PUNCT
ejpam-3048	457	23	α−	α−	ADP
ejpam-3048	457	24	n	n	CCONJ
ejpam-3048	457	25	)	)	PUNCT
ejpam-3048	457	26	]	]	PUNCT
ejpam-3048	458	1	f	f	PROPN
ejpam-3048	458	2	′′(ϕ(b))qd[g(t	′′(ϕ(b))qd[g(t	NOUN
ejpam-3048	458	3	)	)	PUNCT
ejpam-3048	458	4	]	]	PUNCT
ejpam-3048	458	5	r	r	PUNCT
ejpam-3048	459	1	+	+	CCONJ
ejpam-3048	459	2	∫	∫	NUM
ejpam-3048	459	3	1	1	NUM
ejpam-3048	459	4	0	0	NUM
ejpam-3048	459	5	(	(	PUNCT
ejpam-3048	459	6	√	√	PROPN
ejpam-3048	459	7	g(t	g(t	PROPN
ejpam-3048	459	8	)	)	PUNCT
ejpam-3048	459	9	1−	1−	NUM
ejpam-3048	459	10	g(t	g(t	PROPN
ejpam-3048	459	11	)	)	PUNCT
ejpam-3048	459	12	)	)	PUNCT
ejpam-3048	459	13	1	1	NUM
ejpam-3048	459	14	r	r	NOUN
ejpam-3048	459	15	[	[	PUNCT
ejpam-3048	459	16	β(n+	β(n+	NUM
ejpam-3048	459	17	2	2	NUM
ejpam-3048	459	18	,	,	PUNCT
ejpam-3048	459	19	α−	α−	ADP
ejpam-3048	459	20	n)−bg(t)(n+	n)−bg(t)(n+	NOUN
ejpam-3048	459	21	2	2	NUM
ejpam-3048	459	22	,	,	PUNCT
ejpam-3048	459	23	α−	α−	ADP
ejpam-3048	459	24	n	n	CCONJ
ejpam-3048	459	25	)	)	PUNCT
ejpam-3048	459	26	]	]	PUNCT
ejpam-3048	459	27	f	f	PROPN
ejpam-3048	459	28	′′(ϕ(x))qd[g(t	′′(ϕ(x))qd[g(t	NUM
ejpam-3048	459	29	)	)	PUNCT
ejpam-3048	459	30	]	]	PUNCT
ejpam-3048	459	31	r	r	PUNCT
ejpam-3048	460	1	]	]	PUNCT
ejpam-3048	460	2	1	1	NUM
ejpam-3048	460	3	rq	rq	NOUN
ejpam-3048	460	4	=	=	SYM
ejpam-3048	460	5	(	(	PUNCT
ejpam-3048	460	6	m	m	NOUN
ejpam-3048	460	7	2	2	NUM
ejpam-3048	460	8	)	)	PUNCT
ejpam-3048	460	9	1	1	NUM
ejpam-3048	460	10	rq	rq	NOUN
ejpam-3048	460	11	h	h	NOUN
ejpam-3048	460	12	1−	1−	NUM
ejpam-3048	460	13	1	1	NUM
ejpam-3048	460	14	q	q	PROPN
ejpam-3048	460	15	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	460	16	)	)	PUNCT
ejpam-3048	460	17	,	,	PUNCT
ejpam-3048	460	18	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	460	19	×	×	NOUN
ejpam-3048	460	20	{	{	PUNCT
ejpam-3048	460	21	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	460	22	)	)	PUNCT
ejpam-3048	460	23	,	,	PUNCT
ejpam-3048	460	24	ϕ(a),m)|α+2	ϕ(a),m)|α+2	VERB
ejpam-3048	460	25	×	×	VERB
ejpam-3048	461	1	[	[	X
ejpam-3048	461	2	(	(	PUNCT
ejpam-3048	461	3	β(n+	β(n+	NUM
ejpam-3048	461	4	2	2	NUM
ejpam-3048	461	5	,	,	PUNCT
ejpam-3048	461	6	α−	α−	ADP
ejpam-3048	461	7	n)bg(1	n)bg(1	NOUN
ejpam-3048	461	8	)	)	PUNCT
ejpam-3048	461	9	(	(	PUNCT
ejpam-3048	461	10	1−	1−	NUM
ejpam-3048	461	11	1	1	NUM
ejpam-3048	461	12	2r	2r	NUM
ejpam-3048	461	13	,	,	PUNCT
ejpam-3048	461	14	1	1	NUM
ejpam-3048	461	15	+	+	SYM
ejpam-3048	461	16	1	1	NUM
ejpam-3048	461	17	2r	2r	NUM
ejpam-3048	461	18	)	)	PUNCT
ejpam-3048	462	1	−d(g(t);α	−d(g(t);α	ADP
ejpam-3048	462	2	,	,	PUNCT
ejpam-3048	462	3	n	n	CCONJ
ejpam-3048	462	4	,	,	PUNCT
ejpam-3048	462	5	r	r	NOUN
ejpam-3048	462	6	)	)	PUNCT
ejpam-3048	462	7	)	)	PUNCT
ejpam-3048	463	1	r	r	NOUN
ejpam-3048	463	2	f	f	PROPN
ejpam-3048	463	3	′′(ϕ(a))rq	′′(ϕ(a))rq	PROPN
ejpam-3048	463	4	+	+	CCONJ
ejpam-3048	463	5	(	(	PUNCT
ejpam-3048	463	6	β(n+	β(n+	NUM
ejpam-3048	463	7	2	2	NUM
ejpam-3048	463	8	,	,	PUNCT
ejpam-3048	463	9	α−	α−	ADP
ejpam-3048	463	10	n)bg(1	n)bg(1	NOUN
ejpam-3048	463	11	)	)	PUNCT
ejpam-3048	463	12	(	(	PUNCT
ejpam-3048	463	13	1	1	NUM
ejpam-3048	463	14	+	+	SYM
ejpam-3048	463	15	1	1	NUM
ejpam-3048	463	16	2r	2r	NUM
ejpam-3048	463	17	,	,	PUNCT
ejpam-3048	463	18	1−	1−	NUM
ejpam-3048	463	19	1	1	NUM
ejpam-3048	463	20	2r	2r	NUM
ejpam-3048	463	21	)	)	PUNCT
ejpam-3048	463	22	−	−	PROPN
ejpam-3048	464	1	c(g(t);α	c(g(t);α	PROPN
ejpam-3048	464	2	,	,	PUNCT
ejpam-3048	464	3	n	n	CCONJ
ejpam-3048	464	4	,	,	PUNCT
ejpam-3048	464	5	r	r	NOUN
ejpam-3048	464	6	)	)	PUNCT
ejpam-3048	464	7	)	)	PUNCT
ejpam-3048	465	1	r	r	NOUN
ejpam-3048	465	2	f	f	NOUN
ejpam-3048	465	3	′′(ϕ(x))rq	′′(ϕ(x))rq	PROPN
ejpam-3048	465	4	]	]	PUNCT
ejpam-3048	465	5	1	1	NUM
ejpam-3048	465	6	rq	rq	VERB
ejpam-3048	465	7	a.	a.	NOUN
ejpam-3048	465	8	fundo	fundo	PROPN
ejpam-3048	465	9	,	,	PUNCT
ejpam-3048	465	10	a.	a.	NOUN
ejpam-3048	465	11	kashuri	kashuri	PROPN
ejpam-3048	465	12	,	,	PUNCT
ejpam-3048	465	13	m.	m.	NOUN
ejpam-3048	465	14	ramosaço	ramosaço	PROPN
ejpam-3048	465	15	,	,	PUNCT
ejpam-3048	465	16	r.	r.	PROPN
ejpam-3048	465	17	liko	liko	PROPN
ejpam-3048	465	18	/	/	SYM
ejpam-3048	465	19	eur	eur	PROPN
ejpam-3048	465	20	.	.	PUNCT
ejpam-3048	466	1	j.	j.	PROPN
ejpam-3048	466	2	pure	pure	PROPN
ejpam-3048	466	3	appl	appl	PROPN
ejpam-3048	466	4	.	.	PROPN
ejpam-3048	466	5	math	math	PROPN
ejpam-3048	466	6	,	,	PUNCT
ejpam-3048	466	7	10	10	NUM
ejpam-3048	466	8	(	(	PUNCT
ejpam-3048	466	9	4	4	NUM
ejpam-3048	466	10	)	)	PUNCT
ejpam-3048	466	11	(	(	PUNCT
ejpam-3048	466	12	2017	2017	NUM
ejpam-3048	466	13	)	)	PUNCT
ejpam-3048	466	14	,	,	PUNCT
ejpam-3048	466	15	809	809	NUM
ejpam-3048	466	16	-	-	SYM
ejpam-3048	466	17	834	834	NUM
ejpam-3048	466	18	826	826	NUM
ejpam-3048	466	19	+	+	NOUN
ejpam-3048	466	20	|η(ϕ(x	|η(ϕ(x	X
ejpam-3048	466	21	)	)	PUNCT
ejpam-3048	466	22	,	,	PUNCT
ejpam-3048	467	1	ϕ(b),m)|α+2	ϕ(b),m)|α+2	PRON
ejpam-3048	467	2	×	×	NOUN
ejpam-3048	468	1	[	[	X
ejpam-3048	468	2	(	(	PUNCT
ejpam-3048	468	3	β(n+	β(n+	NUM
ejpam-3048	468	4	2	2	NUM
ejpam-3048	468	5	,	,	PUNCT
ejpam-3048	468	6	α−	α−	ADP
ejpam-3048	468	7	n)bg(1	n)bg(1	NOUN
ejpam-3048	468	8	)	)	PUNCT
ejpam-3048	468	9	(	(	PUNCT
ejpam-3048	468	10	1−	1−	NUM
ejpam-3048	468	11	1	1	NUM
ejpam-3048	468	12	2r	2r	NUM
ejpam-3048	468	13	,	,	PUNCT
ejpam-3048	468	14	1	1	NUM
ejpam-3048	468	15	+	+	SYM
ejpam-3048	468	16	1	1	NUM
ejpam-3048	468	17	2r	2r	NUM
ejpam-3048	468	18	)	)	PUNCT
ejpam-3048	469	1	−d(g(t);α	−d(g(t);α	ADP
ejpam-3048	469	2	,	,	PUNCT
ejpam-3048	469	3	n	n	CCONJ
ejpam-3048	469	4	,	,	PUNCT
ejpam-3048	469	5	r	r	NOUN
ejpam-3048	469	6	)	)	PUNCT
ejpam-3048	469	7	)	)	PUNCT
ejpam-3048	470	1	r	r	NOUN
ejpam-3048	470	2	f	f	PROPN
ejpam-3048	470	3	′′(ϕ(b))rq	′′(ϕ(b))rq	PROPN
ejpam-3048	471	1	+	+	CCONJ
ejpam-3048	471	2	(	(	PUNCT
ejpam-3048	471	3	β(n+	β(n+	NUM
ejpam-3048	471	4	2	2	NUM
ejpam-3048	471	5	,	,	PUNCT
ejpam-3048	471	6	α−	α−	ADP
ejpam-3048	471	7	n)bg(1	n)bg(1	NOUN
ejpam-3048	471	8	)	)	PUNCT
ejpam-3048	471	9	(	(	PUNCT
ejpam-3048	471	10	1	1	NUM
ejpam-3048	471	11	+	+	SYM
ejpam-3048	471	12	1	1	NUM
ejpam-3048	471	13	2r	2r	NUM
ejpam-3048	471	14	,	,	PUNCT
ejpam-3048	471	15	1−	1−	NUM
ejpam-3048	471	16	1	1	NUM
ejpam-3048	471	17	2r	2r	NUM
ejpam-3048	471	18	)	)	PUNCT
ejpam-3048	472	1	−	−	PROPN
ejpam-3048	472	2	c(g(t);α	c(g(t);α	PROPN
ejpam-3048	472	3	,	,	PUNCT
ejpam-3048	472	4	n	n	CCONJ
ejpam-3048	472	5	,	,	PUNCT
ejpam-3048	472	6	r	r	NOUN
ejpam-3048	472	7	)	)	PUNCT
ejpam-3048	472	8	)	)	PUNCT
ejpam-3048	473	1	r	r	NOUN
ejpam-3048	473	2	f	f	NOUN
ejpam-3048	473	3	′′(ϕ(x))rq	′′(ϕ(x))rq	PROPN
ejpam-3048	473	4	]	]	PUNCT
ejpam-3048	473	5	1	1	NUM
ejpam-3048	473	6	rq	rq	NOUN
ejpam-3048	473	7	}	}	PUNCT
ejpam-3048	473	8	.	.	PUNCT
ejpam-3048	474	1	corollary	corollary	ADJ
ejpam-3048	474	2	5	5	NUM
ejpam-3048	474	3	.	.	PUNCT
ejpam-3048	475	1	under	under	ADP
ejpam-3048	475	2	the	the	DET
ejpam-3048	475	3	same	same	ADJ
ejpam-3048	475	4	conditions	condition	NOUN
ejpam-3048	475	5	as	as	ADP
ejpam-3048	475	6	in	in	ADP
ejpam-3048	475	7	theorem	theorem	NOUN
ejpam-3048	475	8	6	6	NUM
ejpam-3048	475	9	,	,	PUNCT
ejpam-3048	475	10	if	if	SCONJ
ejpam-3048	475	11	we	we	PRON
ejpam-3048	475	12	choose	choose	VERB
ejpam-3048	475	13	α	α	PRON
ejpam-3048	475	14	∈	∈	PROPN
ejpam-3048	475	15	(	(	PUNCT
ejpam-3048	475	16	n	n	X
ejpam-3048	475	17	,	,	PUNCT
ejpam-3048	475	18	n	n	PROPN
ejpam-3048	475	19	+	+	NOUN
ejpam-3048	475	20	1	1	NUM
ejpam-3048	475	21	]	]	PUNCT
ejpam-3048	475	22	where	where	SCONJ
ejpam-3048	475	23	n	n	NOUN
ejpam-3048	475	24	=	=	SYM
ejpam-3048	475	25	0	0	NUM
ejpam-3048	475	26	,	,	PUNCT
ejpam-3048	475	27	1	1	NUM
ejpam-3048	475	28	,	,	PUNCT
ejpam-3048	475	29	2	2	NUM
ejpam-3048	475	30	,	,	PUNCT
ejpam-3048	475	31	.	.	PUNCT
ejpam-3048	475	32	.	.	PUNCT
ejpam-3048	475	33	.	.	PUNCT
ejpam-3048	476	1	and	and	CCONJ
ejpam-3048	476	2	g(t	g(t	PROPN
ejpam-3048	476	3	)	)	PUNCT
ejpam-3048	477	1	=	=	SYM
ejpam-3048	477	2	t	t	PROPN
ejpam-3048	477	3	,	,	PUNCT
ejpam-3048	477	4	we	we	PRON
ejpam-3048	477	5	get	get	VERB
ejpam-3048	477	6	the	the	DET
ejpam-3048	477	7	following	follow	VERB
ejpam-3048	477	8	inequality	inequality	NOUN
ejpam-3048	477	9	for	for	ADP
ejpam-3048	477	10	conformable	conformable	ADJ
ejpam-3048	477	11	fractional	fractional	ADJ
ejpam-3048	477	12	integrals	integral	NOUN
ejpam-3048	477	13	:	:	PUNCT
ejpam-3048	477	14	∣∣∣∣∣−ηα+1(ϕ(x	∣∣∣∣∣−ηα+1(ϕ(x	NUM
ejpam-3048	477	15	)	)	PUNCT
ejpam-3048	477	16	,	,	PUNCT
ejpam-3048	477	17	ϕ(a),m)f	ϕ(a),m)f	X
ejpam-3048	477	18	′(mϕ(a))−	′(mϕ(a))−	NOUN
ejpam-3048	477	19	ηα+1(ϕ(x	ηα+1(ϕ(x	NOUN
ejpam-3048	477	20	)	)	PUNCT
ejpam-3048	477	21	,	,	PUNCT
ejpam-3048	477	22	ϕ(b),m)f	ϕ(b),m)f	PUNCT
ejpam-3048	477	23	′(mϕ(b	′(mϕ(b	ADJ
ejpam-3048	477	24	)	)	PUNCT
ejpam-3048	477	25	)	)	PUNCT
ejpam-3048	477	26	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	477	27	)	)	PUNCT
ejpam-3048	477	28	,	,	PUNCT
ejpam-3048	477	29	ϕ(a),m	ϕ(a),m	PROPN
ejpam-3048	477	30	)	)	PUNCT
ejpam-3048	477	31	−(n+	−(n+	PROPN
ejpam-3048	478	1	2−	2−	NUM
ejpam-3048	478	2	α)(n+	α)(n+	NOUN
ejpam-3048	478	3	1	1	NUM
ejpam-3048	478	4	)	)	PUNCT
ejpam-3048	478	5	!	!	PUNCT
ejpam-3048	479	1	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	479	2	)	)	PUNCT
ejpam-3048	479	3	,	,	PUNCT
ejpam-3048	479	4	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	479	5	)	)	PUNCT
ejpam-3048	479	6	×	×	NOUN
ejpam-3048	480	1	[	[	X
ejpam-3048	480	2	(	(	PUNCT
ejpam-3048	480	3	(	(	PUNCT
ejpam-3048	480	4	mϕ(a)+η(ϕ(x),ϕ(a),m))iαf	mϕ(a)+η(ϕ(x),ϕ(a),m))iαf	NOUN
ejpam-3048	480	5	)	)	PUNCT
ejpam-3048	480	6	(	(	PUNCT
ejpam-3048	480	7	mϕ(a	mϕ(a	NOUN
ejpam-3048	480	8	)	)	PUNCT
ejpam-3048	480	9	)	)	PUNCT
ejpam-3048	481	1	+	+	CCONJ
ejpam-3048	481	2	(	(	PUNCT
ejpam-3048	481	3	(	(	PUNCT
ejpam-3048	481	4	mϕ(b)+η(ϕ(x),ϕ(b),m))iαf	mϕ(b)+η(ϕ(x),ϕ(b),m))iαf	ADJ
ejpam-3048	481	5	)	)	PUNCT
ejpam-3048	481	6	(	(	PUNCT
ejpam-3048	481	7	mϕ(b	mϕ(b	NUM
ejpam-3048	481	8	)	)	PUNCT
ejpam-3048	481	9	)	)	PUNCT
ejpam-3048	482	1	]	]	PUNCT
ejpam-3048	482	2	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3048	482	3	≤	≤	NUM
ejpam-3048	482	4	(	(	PUNCT
ejpam-3048	482	5	m	m	NOUN
ejpam-3048	482	6	2	2	NUM
ejpam-3048	482	7	)	)	PUNCT
ejpam-3048	482	8	1	1	NUM
ejpam-3048	482	9	rq	rq	X
ejpam-3048	482	10	β	β	X
ejpam-3048	482	11	1−	1−	NUM
ejpam-3048	482	12	1	1	NUM
ejpam-3048	482	13	q	q	NOUN
ejpam-3048	482	14	(	(	PUNCT
ejpam-3048	482	15	n+	n+	NOUN
ejpam-3048	482	16	3	3	NUM
ejpam-3048	482	17	,	,	PUNCT
ejpam-3048	482	18	α−	α−	ADP
ejpam-3048	482	19	n	n	CCONJ
ejpam-3048	482	20	)	)	PUNCT
ejpam-3048	482	21	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	482	22	)	)	PUNCT
ejpam-3048	482	23	,	,	PUNCT
ejpam-3048	482	24	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	482	25	×	×	NOUN
ejpam-3048	482	26	{	{	PUNCT
ejpam-3048	482	27	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	482	28	)	)	PUNCT
ejpam-3048	482	29	,	,	PUNCT
ejpam-3048	483	1	ϕ(a),m)|α+2	ϕ(a),m)|α+2	VERB
ejpam-3048	483	2	×	×	VERB
ejpam-3048	484	1	[	[	X
ejpam-3048	484	2	(	(	PUNCT
ejpam-3048	484	3	π	π	PROPN
ejpam-3048	484	4	2r	2r	NUM
ejpam-3048	484	5	sin	sin	NOUN
ejpam-3048	484	6	(	(	PUNCT
ejpam-3048	484	7	π	π	NOUN
ejpam-3048	484	8	2r	2r	NUM
ejpam-3048	484	9	)	)	PUNCT
ejpam-3048	484	10	β(n+	β(n+	PROPN
ejpam-3048	484	11	2	2	NUM
ejpam-3048	484	12	,	,	PUNCT
ejpam-3048	484	13	α−	α−	ADP
ejpam-3048	484	14	n)−d(t;α	n)−d(t;α	CCONJ
ejpam-3048	484	15	,	,	PUNCT
ejpam-3048	484	16	n	n	CCONJ
ejpam-3048	484	17	,	,	PUNCT
ejpam-3048	484	18	r	r	NOUN
ejpam-3048	484	19	)	)	PUNCT
ejpam-3048	484	20	)	)	PUNCT
ejpam-3048	485	1	r	r	NOUN
ejpam-3048	485	2	f	f	PROPN
ejpam-3048	485	3	′′(ϕ(a))rq	′′(ϕ(a))rq	PROPN
ejpam-3048	486	1	+	+	CCONJ
ejpam-3048	486	2	(	(	PUNCT
ejpam-3048	486	3	π	π	PROPN
ejpam-3048	486	4	2r	2r	NUM
ejpam-3048	486	5	sin	sin	NOUN
ejpam-3048	486	6	(	(	PUNCT
ejpam-3048	486	7	π	π	NOUN
ejpam-3048	486	8	2r	2r	NUM
ejpam-3048	486	9	)	)	PUNCT
ejpam-3048	486	10	β(n+	β(n+	PROPN
ejpam-3048	486	11	2	2	NUM
ejpam-3048	486	12	,	,	PUNCT
ejpam-3048	486	13	α−	α−	ADP
ejpam-3048	486	14	n)−	n)−	NOUN
ejpam-3048	486	15	c(t;α	c(t;α	X
ejpam-3048	486	16	,	,	PUNCT
ejpam-3048	486	17	n	n	CCONJ
ejpam-3048	486	18	,	,	PUNCT
ejpam-3048	486	19	r	r	NOUN
ejpam-3048	486	20	)	)	PUNCT
ejpam-3048	486	21	)	)	PUNCT
ejpam-3048	487	1	r	r	NOUN
ejpam-3048	487	2	f	f	NOUN
ejpam-3048	487	3	′′(ϕ(x))rq	′′(ϕ(x))rq	NUM
ejpam-3048	487	4	]	]	PUNCT
ejpam-3048	487	5	1	1	NUM
ejpam-3048	487	6	rq	rq	X
ejpam-3048	487	7	+	+	PROPN
ejpam-3048	487	8	|η(ϕ(x	|η(ϕ(x	X
ejpam-3048	487	9	)	)	PUNCT
ejpam-3048	487	10	,	,	PUNCT
ejpam-3048	488	1	ϕ(b),m)|α+2	ϕ(b),m)|α+2	PRON
ejpam-3048	488	2	×	×	NOUN
ejpam-3048	489	1	[	[	X
ejpam-3048	489	2	(	(	PUNCT
ejpam-3048	489	3	π	π	PROPN
ejpam-3048	489	4	2r	2r	NUM
ejpam-3048	489	5	sin	sin	NOUN
ejpam-3048	489	6	(	(	PUNCT
ejpam-3048	489	7	π	π	NOUN
ejpam-3048	489	8	2r	2r	NUM
ejpam-3048	489	9	)	)	PUNCT
ejpam-3048	489	10	β(n+	β(n+	PROPN
ejpam-3048	489	11	2	2	NUM
ejpam-3048	489	12	,	,	PUNCT
ejpam-3048	489	13	α−	α−	ADP
ejpam-3048	489	14	n)−d(t;α	n)−d(t;α	CCONJ
ejpam-3048	489	15	,	,	PUNCT
ejpam-3048	489	16	n	n	CCONJ
ejpam-3048	489	17	,	,	PUNCT
ejpam-3048	489	18	r	r	NOUN
ejpam-3048	489	19	)	)	PUNCT
ejpam-3048	489	20	)	)	PUNCT
ejpam-3048	490	1	r	r	NOUN
ejpam-3048	490	2	f	f	PROPN
ejpam-3048	490	3	′′(ϕ(b))rq	′′(ϕ(b))rq	PROPN
ejpam-3048	491	1	+	+	CCONJ
ejpam-3048	491	2	(	(	PUNCT
ejpam-3048	491	3	π	π	PROPN
ejpam-3048	491	4	2r	2r	NUM
ejpam-3048	491	5	sin	sin	NOUN
ejpam-3048	491	6	(	(	PUNCT
ejpam-3048	491	7	π	π	NOUN
ejpam-3048	491	8	2r	2r	NUM
ejpam-3048	491	9	)	)	PUNCT
ejpam-3048	491	10	β(n+	β(n+	PROPN
ejpam-3048	491	11	2	2	NUM
ejpam-3048	491	12	,	,	PUNCT
ejpam-3048	491	13	α−	α−	ADP
ejpam-3048	491	14	n)−	n)−	NOUN
ejpam-3048	491	15	c(t;α	c(t;α	X
ejpam-3048	491	16	,	,	PUNCT
ejpam-3048	491	17	n	n	CCONJ
ejpam-3048	491	18	,	,	PUNCT
ejpam-3048	491	19	r	r	NOUN
ejpam-3048	491	20	)	)	PUNCT
ejpam-3048	491	21	)	)	PUNCT
ejpam-3048	492	1	r	r	NOUN
ejpam-3048	492	2	f	f	NOUN
ejpam-3048	492	3	′′(ϕ(x))rq	′′(ϕ(x))rq	PROPN
ejpam-3048	492	4	]	]	PUNCT
ejpam-3048	492	5	1	1	NUM
ejpam-3048	492	6	rq	rq	NOUN
ejpam-3048	492	7	}	}	PUNCT
ejpam-3048	492	8	.	.	PUNCT
ejpam-3048	493	1	a.	a.	NOUN
ejpam-3048	493	2	fundo	fundo	PROPN
ejpam-3048	493	3	,	,	PUNCT
ejpam-3048	493	4	a.	a.	NOUN
ejpam-3048	493	5	kashuri	kashuri	PROPN
ejpam-3048	493	6	,	,	PUNCT
ejpam-3048	493	7	m.	m.	NOUN
ejpam-3048	493	8	ramosaço	ramosaço	PROPN
ejpam-3048	493	9	,	,	PUNCT
ejpam-3048	493	10	r.	r.	PROPN
ejpam-3048	493	11	liko	liko	PROPN
ejpam-3048	493	12	/	/	SYM
ejpam-3048	493	13	eur	eur	PROPN
ejpam-3048	493	14	.	.	PUNCT
ejpam-3048	494	1	j.	j.	PROPN
ejpam-3048	494	2	pure	pure	PROPN
ejpam-3048	494	3	appl	appl	PROPN
ejpam-3048	494	4	.	.	PROPN
ejpam-3048	494	5	math	math	PROPN
ejpam-3048	494	6	,	,	PUNCT
ejpam-3048	494	7	10	10	NUM
ejpam-3048	494	8	(	(	PUNCT
ejpam-3048	494	9	4	4	NUM
ejpam-3048	494	10	)	)	PUNCT
ejpam-3048	494	11	(	(	PUNCT
ejpam-3048	494	12	2017	2017	NUM
ejpam-3048	494	13	)	)	PUNCT
ejpam-3048	494	14	,	,	PUNCT
ejpam-3048	494	15	809	809	NUM
ejpam-3048	494	16	-	-	SYM
ejpam-3048	494	17	834	834	NUM
ejpam-3048	494	18	827	827	NUM
ejpam-3048	494	19	corollary	corollary	ADJ
ejpam-3048	494	20	6	6	NUM
ejpam-3048	494	21	.	.	PUNCT
ejpam-3048	495	1	under	under	ADP
ejpam-3048	495	2	the	the	DET
ejpam-3048	495	3	same	same	ADJ
ejpam-3048	495	4	conditions	condition	NOUN
ejpam-3048	495	5	as	as	ADP
ejpam-3048	495	6	in	in	ADP
ejpam-3048	495	7	corollary	corollary	ADJ
ejpam-3048	495	8	5	5	NUM
ejpam-3048	495	9	,	,	PUNCT
ejpam-3048	495	10	if	if	SCONJ
ejpam-3048	495	11	we	we	PRON
ejpam-3048	495	12	choose	choose	VERB
ejpam-3048	495	13	α	α	X
ejpam-3048	495	14	=	=	PUNCT
ejpam-3048	495	15	n+	n+	ADP
ejpam-3048	495	16	1	1	NUM
ejpam-3048	495	17	where	where	SCONJ
ejpam-3048	495	18	n	n	ADV
ejpam-3048	495	19	=	=	SYM
ejpam-3048	495	20	0	0	NUM
ejpam-3048	495	21	,	,	PUNCT
ejpam-3048	495	22	1	1	NUM
ejpam-3048	495	23	,	,	PUNCT
ejpam-3048	495	24	2	2	NUM
ejpam-3048	495	25	,	,	PUNCT
ejpam-3048	495	26	.	.	PUNCT
ejpam-3048	495	27	.	.	PUNCT
ejpam-3048	496	1	.	.	PUNCT
ejpam-3048	497	1	,	,	PUNCT
ejpam-3048	497	2	r	r	NOUN
ejpam-3048	497	3	=	=	SYM
ejpam-3048	497	4	1	1	NUM
ejpam-3048	497	5	and	and	CCONJ
ejpam-3048	497	6	f	f	X
ejpam-3048	497	7	′′	′′	PROPN
ejpam-3048	497	8	≤	≤	PROPN
ejpam-3048	497	9	k	k	PROPN
ejpam-3048	497	10	,	,	PUNCT
ejpam-3048	497	11	we	we	PRON
ejpam-3048	497	12	get	get	VERB
ejpam-3048	497	13	the	the	DET
ejpam-3048	497	14	following	follow	VERB
ejpam-3048	497	15	inequality	inequality	NOUN
ejpam-3048	497	16	for	for	ADP
ejpam-3048	497	17	fractional	fractional	ADJ
ejpam-3048	497	18	integrals:∣∣∣∣∣−ηα+1(ϕ(x	integrals:∣∣∣∣∣−ηα+1(ϕ(x	PROPN
ejpam-3048	497	19	)	)	PUNCT
ejpam-3048	497	20	,	,	PUNCT
ejpam-3048	497	21	ϕ(a),m)f	ϕ(a),m)f	X
ejpam-3048	497	22	′(mϕ(a))−	′(mϕ(a))−	NOUN
ejpam-3048	497	23	ηα+1(ϕ(x	ηα+1(ϕ(x	NOUN
ejpam-3048	497	24	)	)	PUNCT
ejpam-3048	497	25	,	,	PUNCT
ejpam-3048	497	26	ϕ(b),m)f	ϕ(b),m)f	PUNCT
ejpam-3048	497	27	′(mϕ(b	′(mϕ(b	ADJ
ejpam-3048	497	28	)	)	PUNCT
ejpam-3048	497	29	)	)	PUNCT
ejpam-3048	498	1	(	(	PUNCT
ejpam-3048	498	2	α+	α+	X
ejpam-3048	498	3	1)η(ϕ(b	1)η(ϕ(b	NUM
ejpam-3048	498	4	)	)	PUNCT
ejpam-3048	498	5	,	,	PUNCT
ejpam-3048	498	6	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	498	7	)	)	PUNCT
ejpam-3048	498	8	+	+	CCONJ
ejpam-3048	498	9	ηα(ϕ(x	ηα(ϕ(x	NOUN
ejpam-3048	498	10	)	)	PUNCT
ejpam-3048	498	11	,	,	PUNCT
ejpam-3048	498	12	ϕ(a),m)f(mϕ(a	ϕ(a),m)f(mϕ(a	PROPN
ejpam-3048	498	13	)	)	PUNCT
ejpam-3048	498	14	+	+	CCONJ
ejpam-3048	498	15	η(ϕ(x	η(ϕ(x	PROPN
ejpam-3048	498	16	)	)	PUNCT
ejpam-3048	498	17	,	,	PUNCT
ejpam-3048	498	18	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	498	19	)	)	PUNCT
ejpam-3048	498	20	)	)	PUNCT
ejpam-3048	499	1	+	+	CCONJ
ejpam-3048	500	1	ηα(ϕ(x	ηα(ϕ(x	NOUN
ejpam-3048	500	2	)	)	PUNCT
ejpam-3048	500	3	,	,	PUNCT
ejpam-3048	500	4	ϕ(b),m)f(mϕ(b	ϕ(b),m)f(mϕ(b	NUM
ejpam-3048	500	5	)	)	PUNCT
ejpam-3048	501	1	+	+	CCONJ
ejpam-3048	501	2	η(ϕ(x	η(ϕ(x	NOUN
ejpam-3048	501	3	)	)	PUNCT
ejpam-3048	501	4	,	,	PUNCT
ejpam-3048	501	5	ϕ(b),m	ϕ(b),m	NOUN
ejpam-3048	501	6	)	)	PUNCT
ejpam-3048	501	7	)	)	PUNCT
ejpam-3048	501	8	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	501	9	)	)	PUNCT
ejpam-3048	501	10	,	,	PUNCT
ejpam-3048	501	11	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	501	12	)	)	PUNCT
ejpam-3048	501	13	−	−	PROPN
ejpam-3048	502	1	γ(α+	γ(α+	DET
ejpam-3048	502	2	1	1	NUM
ejpam-3048	502	3	)	)	PUNCT
ejpam-3048	502	4	η(ϕ(b	η(ϕ(b	PROPN
ejpam-3048	502	5	)	)	PUNCT
ejpam-3048	502	6	,	,	PUNCT
ejpam-3048	502	7	ϕ(a),m	ϕ(a),m	ADJ
ejpam-3048	502	8	)	)	PUNCT
ejpam-3048	502	9	×	×	NOUN
ejpam-3048	502	10	[	[	PUNCT
ejpam-3048	502	11	jα(mϕ(a)+η(ϕ(x),ϕ(a),m))−f(mϕ(a	jα(mϕ(a)+η(ϕ(x),ϕ(a),m))−f(mϕ(a	NOUN
ejpam-3048	502	12	)	)	PUNCT
ejpam-3048	502	13	)	)	PUNCT
ejpam-3048	503	1	+	+	CCONJ
ejpam-3048	503	2	jα(mϕ(b)+η(ϕ(x),ϕ(b),m))−f(mϕ(b	jα(mϕ(b)+η(ϕ(x),ϕ(b),m))−f(mϕ(b	NOUN
ejpam-3048	503	3	)	)	PUNCT
ejpam-3048	503	4	)	)	PUNCT
ejpam-3048	504	1	]	]	PUNCT
ejpam-3048	504	2	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3048	504	3	≤	≤	NUM
ejpam-3048	504	4	(	(	PUNCT
ejpam-3048	504	5	m	m	NOUN
ejpam-3048	504	6	2	2	NUM
ejpam-3048	504	7	)	)	PUNCT
ejpam-3048	504	8	1	1	NUM
ejpam-3048	505	1	q	q	NOUN
ejpam-3048	505	2	k	k	X
ejpam-3048	505	3	(	(	PUNCT
ejpam-3048	505	4	α+	α+	PROPN
ejpam-3048	505	5	2	2	NUM
ejpam-3048	505	6	)	)	PUNCT
ejpam-3048	505	7	1−	1−	NUM
ejpam-3048	505	8	1	1	NUM
ejpam-3048	505	9	q	q	NOUN
ejpam-3048	505	10	[	[	PUNCT
ejpam-3048	505	11	π	π	X
ejpam-3048	505	12	α+	α+	PUNCT
ejpam-3048	505	13	1	1	NUM
ejpam-3048	505	14	−	−	PROPN
ejpam-3048	505	15	(	(	PUNCT
ejpam-3048	505	16	c(t;α	c(t;α	X
ejpam-3048	505	17	,	,	PUNCT
ejpam-3048	505	18	n	n	CCONJ
ejpam-3048	505	19	,	,	PUNCT
ejpam-3048	505	20	1	1	X
ejpam-3048	505	21	)	)	PUNCT
ejpam-3048	505	22	+	+	NOUN
ejpam-3048	505	23	d(t;α	d(t;α	NOUN
ejpam-3048	505	24	,	,	PUNCT
ejpam-3048	505	25	n	n	CCONJ
ejpam-3048	505	26	,	,	PUNCT
ejpam-3048	505	27	1	1	NUM
ejpam-3048	505	28	)	)	PUNCT
ejpam-3048	505	29	)	)	PUNCT
ejpam-3048	505	30	]	]	PUNCT
ejpam-3048	506	1	1	1	NUM
ejpam-3048	506	2	q	q	NOUN
ejpam-3048	506	3	×	×	NOUN
ejpam-3048	506	4	[	[	PUNCT
ejpam-3048	506	5	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	506	6	)	)	PUNCT
ejpam-3048	506	7	,	,	PUNCT
ejpam-3048	506	8	ϕ(a),m)|α+2	ϕ(a),m)|α+2	PROPN
ejpam-3048	506	9	+	+	CCONJ
ejpam-3048	506	10	|η(ϕ(x	|η(ϕ(x	PROPN
ejpam-3048	506	11	)	)	PUNCT
ejpam-3048	506	12	,	,	PUNCT
ejpam-3048	506	13	ϕ(b),m)|α+2	ϕ(b),m)|α+2	NUM
ejpam-3048	506	14	|η(ϕ(b	|η(ϕ(b	PROPN
ejpam-3048	506	15	)	)	PUNCT
ejpam-3048	506	16	,	,	PUNCT
ejpam-3048	506	17	ϕ(a),m)|	ϕ(a),m)|	PROPN
ejpam-3048	506	18	]	]	PUNCT
ejpam-3048	506	19	.	.	PUNCT
ejpam-3048	507	1	remark	remark	PROPN
ejpam-3048	507	2	3	3	NUM
ejpam-3048	507	3	.	.	PUNCT
ejpam-3048	508	1	if	if	SCONJ
ejpam-3048	508	2	we	we	PRON
ejpam-3048	508	3	choose	choose	VERB
ejpam-3048	508	4	α	α	NOUN
ejpam-3048	508	5	=	=	SYM
ejpam-3048	508	6	(	(	PUNCT
ejpam-3048	508	7	n	n	CCONJ
ejpam-3048	508	8	,	,	PUNCT
ejpam-3048	508	9	n	n	PROPN
ejpam-3048	508	10	+	+	NOUN
ejpam-3048	508	11	1	1	NUM
ejpam-3048	508	12	]	]	PUNCT
ejpam-3048	508	13	where	where	SCONJ
ejpam-3048	508	14	n	n	NOUN
ejpam-3048	508	15	=	=	SYM
ejpam-3048	508	16	0	0	NUM
ejpam-3048	508	17	,	,	PUNCT
ejpam-3048	508	18	1	1	NUM
ejpam-3048	508	19	,	,	PUNCT
ejpam-3048	508	20	2	2	NUM
ejpam-3048	508	21	,	,	PUNCT
ejpam-3048	508	22	.	.	PUNCT
ejpam-3048	508	23	.	.	PUNCT
ejpam-3048	509	1	.	.	PUNCT
ejpam-3048	510	1	,	,	PUNCT
ejpam-3048	510	2	for	for	ADP
ejpam-3048	510	3	different	different	ADJ
ejpam-3048	510	4	choices	choice	NOUN
ejpam-3048	510	5	of	of	ADP
ejpam-3048	510	6	positive	positive	ADJ
ejpam-3048	510	7	value	value	NOUN
ejpam-3048	510	8	r	r	NOUN
ejpam-3048	510	9	=	=	SYM
ejpam-3048	510	10	1	1	NUM
ejpam-3048	510	11	2	2	NUM
ejpam-3048	510	12	,	,	PUNCT
ejpam-3048	510	13	1	1	NUM
ejpam-3048	510	14	3	3	NUM
ejpam-3048	510	15	etc	etc	X
ejpam-3048	510	16	.	.	X
ejpam-3048	510	17	,	,	PUNCT
ejpam-3048	510	18	for	for	ADP
ejpam-3048	510	19	any	any	DET
ejpam-3048	510	20	fixed	fix	VERB
ejpam-3048	510	21	m	m	NOUN
ejpam-3048	510	22	∈	∈	NOUN
ejpam-3048	510	23	(	(	PUNCT
ejpam-3048	510	24	0	0	NUM
ejpam-3048	510	25	,	,	PUNCT
ejpam-3048	510	26	1	1	NUM
ejpam-3048	510	27	]	]	PUNCT
ejpam-3048	510	28	,	,	PUNCT
ejpam-3048	510	29	for	for	ADP
ejpam-3048	510	30	a	a	DET
ejpam-3048	510	31	particular	particular	ADJ
ejpam-3048	510	32	choices	choice	NOUN
ejpam-3048	510	33	of	of	ADP
ejpam-3048	510	34	a	a	DET
ejpam-3048	510	35	differentiable	differentiable	ADJ
ejpam-3048	510	36	function	function	NOUN
ejpam-3048	510	37	g(t	g(t	PROPN
ejpam-3048	510	38	)	)	PUNCT
ejpam-3048	510	39	,	,	PUNCT
ejpam-3048	510	40	for	for	ADP
ejpam-3048	510	41	example	example	NOUN
ejpam-3048	510	42	:	:	PUNCT
ejpam-3048	510	43	e−(t+1	e−(t+1	NUM
ejpam-3048	510	44	)	)	PUNCT
ejpam-3048	510	45	,	,	PUNCT
ejpam-3048	510	46	sin	sin	NOUN
ejpam-3048	510	47	(	(	PUNCT
ejpam-3048	510	48	π(t+1	π(t+1	PROPN
ejpam-3048	510	49	)	)	PUNCT
ejpam-3048	510	50	3	3	NUM
ejpam-3048	510	51	)	)	PUNCT
ejpam-3048	510	52	,	,	PUNCT
ejpam-3048	510	53	cos	cos	PROPN
ejpam-3048	510	54	(	(	PUNCT
ejpam-3048	510	55	π(t+1	π(t+1	PROPN
ejpam-3048	510	56	)	)	PUNCT
ejpam-3048	510	57	3	3	NUM
ejpam-3048	510	58	)	)	PUNCT
ejpam-3048	510	59	,	,	PUNCT
ejpam-3048	510	60	etc	etc	X
ejpam-3048	510	61	.	.	X
ejpam-3048	510	62	,	,	PUNCT
ejpam-3048	510	63	and	and	CCONJ
ejpam-3048	510	64	a	a	DET
ejpam-3048	510	65	particular	particular	ADJ
ejpam-3048	510	66	choices	choice	NOUN
ejpam-3048	510	67	of	of	ADP
ejpam-3048	510	68	a	a	DET
ejpam-3048	510	69	continuous	continuous	ADJ
ejpam-3048	510	70	function	function	NOUN
ejpam-3048	510	71	ϕ(x	ϕ(x	X
ejpam-3048	510	72	)	)	PUNCT
ejpam-3048	510	73	=	=	SYM
ejpam-3048	510	74	ex	ex	X
ejpam-3048	510	75	for	for	ADP
ejpam-3048	510	76	all	all	DET
ejpam-3048	510	77	x	x	SYM
ejpam-3048	510	78	∈	∈	PROPN
ejpam-3048	510	79	r	r	NOUN
ejpam-3048	510	80	,	,	PUNCT
ejpam-3048	510	81	xn	xn	PROPN
ejpam-3048	510	82	for	for	ADP
ejpam-3048	510	83	all	all	DET
ejpam-3048	510	84	x	x	SYM
ejpam-3048	510	85	>	>	PUNCT
ejpam-3048	510	86	0	0	PUNCT
ejpam-3048	510	87	and	and	CCONJ
ejpam-3048	510	88	for	for	ADP
ejpam-3048	510	89	all	all	PRON
ejpam-3048	510	90	n	n	PRON
ejpam-3048	510	91	∈	∈	PROPN
ejpam-3048	510	92	n	n	CCONJ
ejpam-3048	510	93	,	,	PUNCT
ejpam-3048	510	94	etc	etc	X
ejpam-3048	510	95	.	.	X
ejpam-3048	510	96	,	,	PUNCT
ejpam-3048	510	97	by	by	ADP
ejpam-3048	510	98	theorem	theorem	NOUN
ejpam-3048	510	99	5	5	NUM
ejpam-3048	510	100	and	and	CCONJ
ejpam-3048	510	101	theorem	theorem	VERB
ejpam-3048	510	102	6	6	NUM
ejpam-3048	510	103	we	we	PRON
ejpam-3048	510	104	can	can	AUX
ejpam-3048	510	105	get	get	VERB
ejpam-3048	510	106	some	some	DET
ejpam-3048	510	107	special	special	ADJ
ejpam-3048	510	108	kinds	kind	NOUN
ejpam-3048	510	109	of	of	ADP
ejpam-3048	510	110	hermite	hermite	ADJ
ejpam-3048	510	111	-	-	PUNCT
ejpam-3048	510	112	hadamard	hadamard	ADJ
ejpam-3048	510	113	type	type	NOUN
ejpam-3048	510	114	conformable	conformable	ADJ
ejpam-3048	510	115	fractional	fractional	ADJ
ejpam-3048	510	116	integral	integral	ADJ
ejpam-3048	510	117	inequalities	inequality	NOUN
ejpam-3048	510	118	.	.	PUNCT
ejpam-3048	511	1	in	in	ADP
ejpam-3048	511	2	particular	particular	ADJ
ejpam-3048	511	3	for	for	ADP
ejpam-3048	511	4	α	α	PROPN
ejpam-3048	511	5	=	=	SYM
ejpam-3048	511	6	n+1	n+1	PROPN
ejpam-3048	511	7	,	,	PUNCT
ejpam-3048	511	8	n	n	NOUN
ejpam-3048	511	9	=	=	SYM
ejpam-3048	511	10	0	0	NUM
ejpam-3048	511	11	,	,	PUNCT
ejpam-3048	511	12	1	1	NUM
ejpam-3048	511	13	,	,	PUNCT
ejpam-3048	511	14	2	2	NUM
ejpam-3048	511	15	,	,	PUNCT
ejpam-3048	511	16	.	.	PUNCT
ejpam-3048	511	17	.	.	PUNCT
ejpam-3048	512	1	.	.	PUNCT
ejpam-3048	513	1	,	,	PUNCT
ejpam-3048	513	2	we	we	PRON
ejpam-3048	513	3	get	get	VERB
ejpam-3048	513	4	some	some	DET
ejpam-3048	513	5	special	special	ADJ
ejpam-3048	513	6	kinds	kind	NOUN
ejpam-3048	513	7	of	of	ADP
ejpam-3048	513	8	hermite	hermite	ADJ
ejpam-3048	513	9	-	-	PUNCT
ejpam-3048	513	10	hadamard	hadamard	ADJ
ejpam-3048	513	11	type	type	NOUN
ejpam-3048	513	12	fractional	fractional	ADJ
ejpam-3048	513	13	integral	integral	ADJ
ejpam-3048	513	14	inequalities	inequality	NOUN
ejpam-3048	513	15	.	.	PUNCT
ejpam-3048	514	1	4	4	X
ejpam-3048	514	2	.	.	X
ejpam-3048	514	3	applications	application	NOUN
ejpam-3048	514	4	to	to	ADP
ejpam-3048	514	5	special	special	ADJ
ejpam-3048	514	6	means	mean	NOUN
ejpam-3048	514	7	in	in	ADP
ejpam-3048	514	8	the	the	DET
ejpam-3048	514	9	following	following	NOUN
ejpam-3048	514	10	we	we	PRON
ejpam-3048	514	11	give	give	VERB
ejpam-3048	514	12	certain	certain	ADJ
ejpam-3048	514	13	generalizations	generalization	NOUN
ejpam-3048	514	14	of	of	ADP
ejpam-3048	514	15	some	some	DET
ejpam-3048	514	16	notions	notion	NOUN
ejpam-3048	514	17	for	for	ADP
ejpam-3048	514	18	a	a	DET
ejpam-3048	514	19	positive	positive	ADJ
ejpam-3048	514	20	valued	value	VERB
ejpam-3048	514	21	function	function	NOUN
ejpam-3048	514	22	of	of	ADP
ejpam-3048	514	23	a	a	DET
ejpam-3048	514	24	positive	positive	ADJ
ejpam-3048	514	25	variable	variable	NOUN
ejpam-3048	514	26	.	.	PUNCT
ejpam-3048	515	1	definition	definition	NOUN
ejpam-3048	515	2	12	12	NUM
ejpam-3048	515	3	.	.	PUNCT
ejpam-3048	516	1	(	(	PUNCT
ejpam-3048	516	2	see	see	VERB
ejpam-3048	516	3	[	[	X
ejpam-3048	516	4	36	36	NUM
ejpam-3048	516	5	]	]	PUNCT
ejpam-3048	516	6	)	)	PUNCT
ejpam-3048	516	7	a	a	DET
ejpam-3048	516	8	function	function	NOUN
ejpam-3048	516	9	m	m	VERB
ejpam-3048	516	10	:	:	PUNCT
ejpam-3048	516	11	r2	r2	NOUN
ejpam-3048	516	12	+	+	CCONJ
ejpam-3048	516	13	−→	−→	ADJ
ejpam-3048	516	14	r+	r+	NOUN
ejpam-3048	516	15	,	,	PUNCT
ejpam-3048	516	16	is	be	AUX
ejpam-3048	516	17	called	call	VERB
ejpam-3048	516	18	a	a	DET
ejpam-3048	516	19	mean	mean	ADJ
ejpam-3048	516	20	function	function	NOUN
ejpam-3048	516	21	if	if	SCONJ
ejpam-3048	516	22	it	it	PRON
ejpam-3048	516	23	has	have	VERB
ejpam-3048	516	24	the	the	DET
ejpam-3048	516	25	following	follow	VERB
ejpam-3048	516	26	properties	property	NOUN
ejpam-3048	516	27	:	:	PUNCT
ejpam-3048	516	28	(	(	PUNCT
ejpam-3048	516	29	i	i	NOUN
ejpam-3048	516	30	)	)	PUNCT
ejpam-3048	516	31	homogeneity	homogeneity	NOUN
ejpam-3048	516	32	:	:	PUNCT
ejpam-3048	516	33	m(ax	m(ax	PROPN
ejpam-3048	516	34	,	,	PUNCT
ejpam-3048	516	35	ay	ay	NUM
ejpam-3048	516	36	)	)	PUNCT
ejpam-3048	516	37	=	=	SYM
ejpam-3048	516	38	am(x	am(x	PROPN
ejpam-3048	516	39	,	,	PUNCT
ejpam-3048	516	40	y	y	PROPN
ejpam-3048	516	41	)	)	PUNCT
ejpam-3048	516	42	,	,	PUNCT
ejpam-3048	516	43	for	for	ADP
ejpam-3048	516	44	all	all	DET
ejpam-3048	516	45	a	a	DET
ejpam-3048	516	46	>	>	X
ejpam-3048	516	47	0	0	NUM
ejpam-3048	516	48	,	,	PUNCT
ejpam-3048	516	49	(	(	PUNCT
ejpam-3048	516	50	ii	ii	NOUN
ejpam-3048	516	51	)	)	PUNCT
ejpam-3048	516	52	symmetry	symmetry	NOUN
ejpam-3048	516	53	:	:	PUNCT
ejpam-3048	516	54	m(x	m(x	PROPN
ejpam-3048	516	55	,	,	PUNCT
ejpam-3048	516	56	y	y	NOUN
ejpam-3048	516	57	)	)	PUNCT
ejpam-3048	516	58	=	=	PUNCT
ejpam-3048	516	59	m(y	m(y	NOUN
ejpam-3048	516	60	,	,	PUNCT
ejpam-3048	516	61	x	x	NOUN
ejpam-3048	516	62	)	)	PUNCT
ejpam-3048	516	63	,	,	PUNCT
ejpam-3048	516	64	(	(	PUNCT
ejpam-3048	516	65	iii	iii	X
ejpam-3048	516	66	)	)	PUNCT
ejpam-3048	516	67	reflexivity	reflexivity	NOUN
ejpam-3048	516	68	:	:	PUNCT
ejpam-3048	516	69	m(x	m(x	PROPN
ejpam-3048	516	70	,	,	PUNCT
ejpam-3048	516	71	x	x	X
ejpam-3048	516	72	)	)	PUNCT
ejpam-3048	516	73	=	=	SYM
ejpam-3048	516	74	x	x	NOUN
ejpam-3048	516	75	,	,	PUNCT
ejpam-3048	516	76	(	(	PUNCT
ejpam-3048	516	77	iv	iv	X
ejpam-3048	516	78	)	)	PUNCT
ejpam-3048	516	79	monotonicity	monotonicity	NOUN
ejpam-3048	516	80	:	:	PUNCT
ejpam-3048	516	81	if	if	SCONJ
ejpam-3048	516	82	x	x	ADP
ejpam-3048	516	83	≤	≤	NUM
ejpam-3048	516	84	x′	x′	PROPN
ejpam-3048	516	85	and	and	CCONJ
ejpam-3048	516	86	y	y	PROPN
ejpam-3048	516	87	≤	≤	PROPN
ejpam-3048	516	88	y′	y′	PUNCT
ejpam-3048	516	89	,	,	PUNCT
ejpam-3048	516	90	then	then	ADV
ejpam-3048	516	91	m(x	m(x	PROPN
ejpam-3048	516	92	,	,	PUNCT
ejpam-3048	516	93	y	y	PROPN
ejpam-3048	516	94	)	)	PUNCT
ejpam-3048	516	95	≤m(x′	≤m(x′	VERB
ejpam-3048	516	96	,	,	PUNCT
ejpam-3048	516	97	y′	y′	NUM
ejpam-3048	516	98	)	)	PUNCT
ejpam-3048	516	99	,	,	PUNCT
ejpam-3048	516	100	a.	a.	NOUN
ejpam-3048	516	101	fundo	fundo	PROPN
ejpam-3048	516	102	,	,	PUNCT
ejpam-3048	516	103	a.	a.	NOUN
ejpam-3048	516	104	kashuri	kashuri	PROPN
ejpam-3048	516	105	,	,	PUNCT
ejpam-3048	516	106	m.	m.	NOUN
ejpam-3048	516	107	ramosaço	ramosaço	PROPN
ejpam-3048	516	108	,	,	PUNCT
ejpam-3048	516	109	r.	r.	PROPN
ejpam-3048	516	110	liko	liko	PROPN
ejpam-3048	516	111	/	/	SYM
ejpam-3048	516	112	eur	eur	PROPN
ejpam-3048	516	113	.	.	PUNCT
ejpam-3048	517	1	j.	j.	PROPN
ejpam-3048	517	2	pure	pure	PROPN
ejpam-3048	517	3	appl	appl	PROPN
ejpam-3048	517	4	.	.	PROPN
ejpam-3048	517	5	math	math	PROPN
ejpam-3048	517	6	,	,	PUNCT
ejpam-3048	517	7	10	10	NUM
ejpam-3048	517	8	(	(	PUNCT
ejpam-3048	517	9	4	4	NUM
ejpam-3048	517	10	)	)	PUNCT
ejpam-3048	517	11	(	(	PUNCT
ejpam-3048	517	12	2017	2017	NUM
ejpam-3048	517	13	)	)	PUNCT
ejpam-3048	517	14	,	,	PUNCT
ejpam-3048	517	15	809	809	NUM
ejpam-3048	517	16	-	-	SYM
ejpam-3048	517	17	834	834	NUM
ejpam-3048	517	18	828	828	NUM
ejpam-3048	517	19	(	(	PUNCT
ejpam-3048	517	20	v	v	NOUN
ejpam-3048	517	21	)	)	PUNCT
ejpam-3048	517	22	internality	internality	NOUN
ejpam-3048	517	23	:	:	PUNCT
ejpam-3048	517	24	min{x	min{x	PROPN
ejpam-3048	517	25	,	,	PUNCT
ejpam-3048	517	26	y	y	NOUN
ejpam-3048	517	27	}	}	PUNCT
ejpam-3048	517	28	≤m(x	≤m(x	PROPN
ejpam-3048	517	29	,	,	PUNCT
ejpam-3048	517	30	y	y	NOUN
ejpam-3048	517	31	)	)	PUNCT
ejpam-3048	517	32	≤	≤	PROPN
ejpam-3048	517	33	max{x	max{x	PROPN
ejpam-3048	517	34	,	,	PUNCT
ejpam-3048	517	35	y	y	NOUN
ejpam-3048	517	36	}	}	PUNCT
ejpam-3048	517	37	.	.	PUNCT
ejpam-3048	518	1	we	we	PRON
ejpam-3048	518	2	consider	consider	VERB
ejpam-3048	518	3	some	some	DET
ejpam-3048	518	4	means	mean	NOUN
ejpam-3048	518	5	for	for	ADP
ejpam-3048	518	6	arbitrary	arbitrary	ADJ
ejpam-3048	518	7	positive	positive	ADJ
ejpam-3048	518	8	real	real	ADJ
ejpam-3048	518	9	numbers	number	NOUN
ejpam-3048	518	10	α	α	X
ejpam-3048	518	11	,	,	PUNCT
ejpam-3048	518	12	β	β	X
ejpam-3048	518	13	(	(	PUNCT
ejpam-3048	518	14	α	α	PROPN
ejpam-3048	518	15	6=	6=	ADP
ejpam-3048	518	16	β	β	NOUN
ejpam-3048	518	17	)	)	PUNCT
ejpam-3048	518	18	.	.	PUNCT
ejpam-3048	519	1	(	(	PUNCT
ejpam-3048	519	2	i	i	NOUN
ejpam-3048	519	3	)	)	PUNCT
ejpam-3048	519	4	the	the	DET
ejpam-3048	519	5	arithmetic	arithmetic	ADJ
ejpam-3048	519	6	mean	mean	NOUN
ejpam-3048	519	7	:	:	PUNCT
ejpam-3048	519	8	a	a	PRON
ejpam-3048	519	9	:	:	PUNCT
ejpam-3048	519	10	=	=	SYM
ejpam-3048	519	11	a(α	a(α	NOUN
ejpam-3048	519	12	,	,	PUNCT
ejpam-3048	519	13	β	β	X
ejpam-3048	519	14	)	)	PUNCT
ejpam-3048	519	15	=	=	SYM
ejpam-3048	519	16	α+	α+	X
ejpam-3048	519	17	β	β	PROPN
ejpam-3048	519	18	2	2	NUM
ejpam-3048	519	19	(	(	PUNCT
ejpam-3048	519	20	ii	ii	NOUN
ejpam-3048	519	21	)	)	PUNCT
ejpam-3048	519	22	the	the	DET
ejpam-3048	519	23	geometric	geometric	ADJ
ejpam-3048	519	24	mean	mean	NOUN
ejpam-3048	519	25	:	:	PUNCT
ejpam-3048	519	26	g	g	NOUN
ejpam-3048	519	27	:	:	PUNCT
ejpam-3048	519	28	=	=	SYM
ejpam-3048	519	29	g(α	g(α	PROPN
ejpam-3048	519	30	,	,	PUNCT
ejpam-3048	519	31	β	β	X
ejpam-3048	519	32	)	)	PUNCT
ejpam-3048	519	33	=	=	SYM
ejpam-3048	520	1	√	√	NUM
ejpam-3048	520	2	αβ	αβ	INTJ
ejpam-3048	520	3	(	(	PUNCT
ejpam-3048	520	4	iii	iii	NOUN
ejpam-3048	520	5	)	)	PUNCT
ejpam-3048	521	1	the	the	DET
ejpam-3048	521	2	harmonic	harmonic	ADJ
ejpam-3048	521	3	mean	mean	NOUN
ejpam-3048	521	4	:	:	PUNCT
ejpam-3048	521	5	h	h	NOUN
ejpam-3048	521	6	:	:	PUNCT
ejpam-3048	521	7	=	=	SYM
ejpam-3048	521	8	h(α	h(α	ADJ
ejpam-3048	521	9	,	,	PUNCT
ejpam-3048	521	10	β	β	X
ejpam-3048	521	11	)	)	PUNCT
ejpam-3048	521	12	=	=	SYM
ejpam-3048	521	13	2	2	NUM
ejpam-3048	521	14	1	1	NUM
ejpam-3048	521	15	α	α	NOUN
ejpam-3048	521	16	+	+	NOUN
ejpam-3048	521	17	1	1	NUM
ejpam-3048	521	18	β	β	X
ejpam-3048	521	19	(	(	PUNCT
ejpam-3048	521	20	iv	iv	X
ejpam-3048	521	21	)	)	PUNCT
ejpam-3048	521	22	the	the	DET
ejpam-3048	521	23	power	power	NOUN
ejpam-3048	521	24	mean	mean	NOUN
ejpam-3048	521	25	:	:	PUNCT
ejpam-3048	521	26	pr	pr	X
ejpam-3048	521	27	:	:	PUNCT
ejpam-3048	521	28	=	=	SYM
ejpam-3048	521	29	pr(α	pr(α	X
ejpam-3048	521	30	,	,	PUNCT
ejpam-3048	521	31	β	β	X
ejpam-3048	521	32	)	)	PUNCT
ejpam-3048	521	33	=	=	SYM
ejpam-3048	521	34	(	(	PUNCT
ejpam-3048	521	35	αr	αr	X
ejpam-3048	521	36	+	+	CCONJ
ejpam-3048	521	37	βr	βr	NUM
ejpam-3048	521	38	2	2	NUM
ejpam-3048	521	39	)	)	PUNCT
ejpam-3048	521	40	1	1	NUM
ejpam-3048	521	41	r	r	NOUN
ejpam-3048	521	42	,	,	PUNCT
ejpam-3048	521	43	r	r	NOUN
ejpam-3048	521	44	≥	≥	NOUN
ejpam-3048	521	45	1	1	NUM
ejpam-3048	521	46	.	.	PUNCT
ejpam-3048	521	47	(	(	PUNCT
ejpam-3048	521	48	v	v	NOUN
ejpam-3048	521	49	)	)	PUNCT
ejpam-3048	521	50	the	the	DET
ejpam-3048	521	51	identric	identric	ADJ
ejpam-3048	521	52	mean	mean	NOUN
ejpam-3048	521	53	:	:	PUNCT
ejpam-3048	521	54	i	i	PRON
ejpam-3048	521	55	:	:	PUNCT
ejpam-3048	521	56	=	=	SYM
ejpam-3048	521	57	i(α	i(α	PROPN
ejpam-3048	521	58	,	,	PUNCT
ejpam-3048	521	59	β	β	NOUN
ejpam-3048	521	60	)	)	PUNCT
ejpam-3048	521	61	=	=	SYM
ejpam-3048	521	62	{	{	PUNCT
ejpam-3048	521	63	1	1	NUM
ejpam-3048	521	64	e	e	X
ejpam-3048	521	65	(	(	PUNCT
ejpam-3048	521	66	ββ	ββ	INTJ
ejpam-3048	521	67	αα	αα	PROPN
ejpam-3048	521	68	)	)	PUNCT
ejpam-3048	521	69	,	,	PUNCT
ejpam-3048	521	70	α	α	PROPN
ejpam-3048	521	71	6=	6=	ADP
ejpam-3048	521	72	β	β	PROPN
ejpam-3048	521	73	;	;	PUNCT
ejpam-3048	521	74	α	α	X
ejpam-3048	521	75	,	,	PUNCT
ejpam-3048	521	76	α	α	X
ejpam-3048	521	77	=	=	SYM
ejpam-3048	521	78	β	β	X
ejpam-3048	521	79	.	.	PUNCT
ejpam-3048	521	80	(	(	PUNCT
ejpam-3048	521	81	vi	vi	X
ejpam-3048	521	82	)	)	PUNCT
ejpam-3048	521	83	the	the	DET
ejpam-3048	521	84	logarithmic	logarithmic	ADJ
ejpam-3048	521	85	mean	mean	NOUN
ejpam-3048	521	86	:	:	PUNCT
ejpam-3048	521	87	l	l	NOUN
ejpam-3048	521	88	:	:	PUNCT
ejpam-3048	521	89	=	=	SYM
ejpam-3048	521	90	l(α	l(α	PROPN
ejpam-3048	521	91	,	,	PUNCT
ejpam-3048	521	92	β	β	X
ejpam-3048	521	93	)	)	PUNCT
ejpam-3048	521	94	=	=	PUNCT
ejpam-3048	522	1	β	β	NOUN
ejpam-3048	522	2	−	−	NOUN
ejpam-3048	523	1	α	α	PRON
ejpam-3048	523	2	ln(β)−	ln(β)−	PROPN
ejpam-3048	523	3	ln(α	ln(α	PROPN
ejpam-3048	523	4	)	)	PUNCT
ejpam-3048	523	5	.	.	PUNCT
ejpam-3048	524	1	(	(	PUNCT
ejpam-3048	524	2	vii	vii	PROPN
ejpam-3048	524	3	)	)	PUNCT
ejpam-3048	524	4	the	the	DET
ejpam-3048	524	5	generalized	generalize	VERB
ejpam-3048	524	6	log	log	NOUN
ejpam-3048	524	7	-	-	PUNCT
ejpam-3048	524	8	mean	mean	NOUN
ejpam-3048	524	9	:	:	PUNCT
ejpam-3048	524	10	lp	lp	ADJ
ejpam-3048	524	11	:	:	PUNCT
ejpam-3048	524	12	=	=	SYM
ejpam-3048	524	13	lp(α	lp(α	NOUN
ejpam-3048	524	14	,	,	PUNCT
ejpam-3048	524	15	β	β	NOUN
ejpam-3048	524	16	)	)	PUNCT
ejpam-3048	525	1	=	=	PUNCT
ejpam-3048	525	2	[	[	PUNCT
ejpam-3048	525	3	βp+1	βp+1	ADV
ejpam-3048	525	4	−	−	NOUN
ejpam-3048	525	5	αp+1	αp+1	NUM
ejpam-3048	525	6	(	(	PUNCT
ejpam-3048	525	7	p+	p+	PROPN
ejpam-3048	525	8	1)(β	1)(β	NUM
ejpam-3048	525	9	−	−	PROPN
ejpam-3048	525	10	α	α	NUM
ejpam-3048	525	11	)	)	PUNCT
ejpam-3048	525	12	]	]	PUNCT
ejpam-3048	525	13	1	1	NUM
ejpam-3048	525	14	p	p	NOUN
ejpam-3048	525	15	;	;	PUNCT
ejpam-3048	525	16	p	p	PROPN
ejpam-3048	525	17	∈	∈	PROPN
ejpam-3048	525	18	r	r	NOUN
ejpam-3048	525	19	\	\	PUNCT
ejpam-3048	525	20	{	{	PUNCT
ejpam-3048	525	21	−1	−1	NOUN
ejpam-3048	525	22	,	,	PUNCT
ejpam-3048	525	23	0	0	NUM
ejpam-3048	525	24	}	}	PUNCT
ejpam-3048	525	25	.	.	PUNCT
ejpam-3048	526	1	(	(	PUNCT
ejpam-3048	526	2	viii	viii	NOUN
ejpam-3048	526	3	)	)	PUNCT
ejpam-3048	526	4	the	the	DET
ejpam-3048	526	5	weighted	weighted	ADJ
ejpam-3048	526	6	p	p	NOUN
ejpam-3048	526	7	-	-	PUNCT
ejpam-3048	526	8	power	power	NOUN
ejpam-3048	526	9	mean	mean	NOUN
ejpam-3048	526	10	:	:	PUNCT
ejpam-3048	526	11	mp	mp	PROPN
ejpam-3048	526	12	(	(	PUNCT
ejpam-3048	526	13	α1	α1	PROPN
ejpam-3048	526	14	,	,	PUNCT
ejpam-3048	526	15	α2	α2	ADJ
ejpam-3048	526	16	,	,	PUNCT
ejpam-3048	526	17	·	·	PUNCT
ejpam-3048	526	18	·	·	PUNCT
ejpam-3048	526	19	·	·	PUNCT
ejpam-3048	526	20	,	,	PUNCT
ejpam-3048	526	21	αn	αn	NOUN
ejpam-3048	526	22	u1	u1	NOUN
ejpam-3048	526	23	,	,	PUNCT
ejpam-3048	526	24	u2	u2	NOUN
ejpam-3048	526	25	,	,	PUNCT
ejpam-3048	526	26	·	·	PUNCT
ejpam-3048	526	27	·	·	PUNCT
ejpam-3048	526	28	·	·	PUNCT
ejpam-3048	526	29	,	,	PUNCT
ejpam-3048	526	30	un	un	PROPN
ejpam-3048	526	31	)	)	PUNCT
ejpam-3048	526	32	=	=	PRON
ejpam-3048	527	1	(	(	PUNCT
ejpam-3048	527	2	n∑	n∑	NOUN
ejpam-3048	527	3	i=1	i=1	PROPN
ejpam-3048	527	4	αiu	αiu	ADP
ejpam-3048	528	1	p	p	PROPN
ejpam-3048	529	1	i	i	PRON
ejpam-3048	529	2	)	)	PUNCT
ejpam-3048	530	1	1	1	NUM
ejpam-3048	530	2	p	p	NOUN
ejpam-3048	530	3	where	where	SCONJ
ejpam-3048	530	4	0	0	NUM
ejpam-3048	530	5	≤	≤	NUM
ejpam-3048	530	6	αi	αi	VERB
ejpam-3048	530	7	≤	≤	NUM
ejpam-3048	530	8	1	1	NUM
ejpam-3048	530	9	,	,	PUNCT
ejpam-3048	530	10	ui	ui	NOUN
ejpam-3048	530	11	>	>	X
ejpam-3048	530	12	0	0	PUNCT
ejpam-3048	531	1	(	(	PUNCT
ejpam-3048	531	2	i	i	NOUN
ejpam-3048	531	3	=	=	NOUN
ejpam-3048	531	4	1	1	NUM
ejpam-3048	531	5	,	,	PUNCT
ejpam-3048	531	6	2	2	NUM
ejpam-3048	531	7	,	,	PUNCT
ejpam-3048	531	8	.	.	PUNCT
ejpam-3048	531	9	.	.	PUNCT
ejpam-3048	532	1	.	.	PUNCT
ejpam-3048	533	1	,	,	PUNCT
ejpam-3048	533	2	n	n	CCONJ
ejpam-3048	533	3	)	)	PUNCT
ejpam-3048	533	4	with	with	ADP
ejpam-3048	533	5	∑n	∑n	PROPN
ejpam-3048	533	6	i=1	i=1	PROPN
ejpam-3048	533	7	αi	αi	X
ejpam-3048	533	8	=	=	SYM
ejpam-3048	534	1	1	1	X
ejpam-3048	534	2	.	.	PUNCT
ejpam-3048	535	1	it	it	PRON
ejpam-3048	535	2	is	be	AUX
ejpam-3048	535	3	well	well	ADV
ejpam-3048	535	4	known	know	VERB
ejpam-3048	535	5	that	that	SCONJ
ejpam-3048	535	6	lp	lp	NOUN
ejpam-3048	535	7	is	be	AUX
ejpam-3048	535	8	monotonic	monotonic	ADJ
ejpam-3048	535	9	nondecreasing	nondecrease	VERB
ejpam-3048	535	10	over	over	ADP
ejpam-3048	535	11	p	p	NOUN
ejpam-3048	535	12	∈	∈	NOUN
ejpam-3048	535	13	r	r	NOUN
ejpam-3048	535	14	with	with	ADP
ejpam-3048	535	15	l−1	l−1	PROPN
ejpam-3048	535	16	:	:	PUNCT
ejpam-3048	535	17	=	=	SYM
ejpam-3048	535	18	l	l	NOUN
ejpam-3048	535	19	and	and	CCONJ
ejpam-3048	535	20	l0	l0	PROPN
ejpam-3048	535	21	:	:	PUNCT
ejpam-3048	535	22	=	=	PUNCT
ejpam-3048	535	23	i.	i.	PROPN
ejpam-3048	535	24	in	in	ADP
ejpam-3048	535	25	particular	particular	ADJ
ejpam-3048	535	26	,	,	PUNCT
ejpam-3048	535	27	we	we	PRON
ejpam-3048	535	28	have	have	VERB
ejpam-3048	535	29	the	the	DET
ejpam-3048	535	30	following	follow	VERB
ejpam-3048	535	31	inequality	inequality	NOUN
ejpam-3048	535	32	h	h	NOUN
ejpam-3048	535	33	≤	≤	NOUN
ejpam-3048	535	34	g	g	NOUN
ejpam-3048	535	35	≤	≤	NUM
ejpam-3048	535	36	l	l	NOUN
ejpam-3048	535	37	≤	≤	NUM
ejpam-3048	535	38	i	i	PRON
ejpam-3048	535	39	≤	≤	ADJ
ejpam-3048	535	40	a.	a.	NOUN
ejpam-3048	535	41	now	now	ADV
ejpam-3048	535	42	,	,	PUNCT
ejpam-3048	535	43	let	let	VERB
ejpam-3048	535	44	a	a	PRON
ejpam-3048	535	45	and	and	CCONJ
ejpam-3048	535	46	b	b	NOUN
ejpam-3048	535	47	be	be	AUX
ejpam-3048	535	48	positive	positive	ADJ
ejpam-3048	535	49	real	real	ADJ
ejpam-3048	535	50	numbers	number	NOUN
ejpam-3048	535	51	such	such	ADJ
ejpam-3048	535	52	that	that	SCONJ
ejpam-3048	535	53	a	a	DET
ejpam-3048	535	54	<	<	X
ejpam-3048	535	55	b.	b.	NOUN
ejpam-3048	535	56	consider	consider	VERB
ejpam-3048	535	57	the	the	DET
ejpam-3048	535	58	function	function	NOUN
ejpam-3048	535	59	m	m	VERB
ejpam-3048	535	60	:	:	PUNCT
ejpam-3048	535	61	=	=	SYM
ejpam-3048	535	62	m(ϕ(x	m(ϕ(x	PROPN
ejpam-3048	535	63	)	)	PUNCT
ejpam-3048	535	64	,	,	PUNCT
ejpam-3048	535	65	ϕ(y	ϕ(y	PROPN
ejpam-3048	535	66	)	)	PUNCT
ejpam-3048	535	67	)	)	PUNCT
ejpam-3048	535	68	:	:	PUNCT
ejpam-3048	536	1	[	[	X
ejpam-3048	536	2	ϕ(x	ϕ(x	X
ejpam-3048	536	3	)	)	PUNCT
ejpam-3048	536	4	,	,	PUNCT
ejpam-3048	536	5	ϕ(x	ϕ(x	X
ejpam-3048	536	6	)	)	PUNCT
ejpam-3048	536	7	+	+	CCONJ
ejpam-3048	536	8	η(ϕ(y	η(ϕ(y	NUM
ejpam-3048	536	9	)	)	PUNCT
ejpam-3048	536	10	,	,	PUNCT
ejpam-3048	536	11	ϕ(x	ϕ(x	X
ejpam-3048	536	12	)	)	PUNCT
ejpam-3048	536	13	)	)	PUNCT
ejpam-3048	536	14	]	]	PUNCT
ejpam-3048	537	1	×	×	NOUN
ejpam-3048	537	2	[	[	X
ejpam-3048	537	3	ϕ(x	ϕ(x	X
ejpam-3048	537	4	)	)	PUNCT
ejpam-3048	537	5	,	,	PUNCT
ejpam-3048	537	6	ϕ(x	ϕ(x	X
ejpam-3048	537	7	)	)	PUNCT
ejpam-3048	538	1	+	+	CCONJ
ejpam-3048	538	2	η(ϕ(y	η(ϕ(y	NUM
ejpam-3048	538	3	)	)	PUNCT
ejpam-3048	538	4	,	,	PUNCT
ejpam-3048	538	5	ϕ(x	ϕ(x	X
ejpam-3048	538	6	)	)	PUNCT
ejpam-3048	538	7	)	)	PUNCT
ejpam-3048	538	8	]	]	PUNCT
ejpam-3048	539	1	−→	−→	NOUN
ejpam-3048	539	2	r+	r+	NOUN
ejpam-3048	539	3	,	,	PUNCT
ejpam-3048	539	4	which	which	PRON
ejpam-3048	539	5	is	be	AUX
ejpam-3048	539	6	one	one	NUM
ejpam-3048	539	7	of	of	ADP
ejpam-3048	539	8	the	the	DET
ejpam-3048	539	9	above	above	ADJ
ejpam-3048	539	10	mentioned	mention	VERB
ejpam-3048	539	11	means	mean	NOUN
ejpam-3048	539	12	,	,	PUNCT
ejpam-3048	539	13	ϕ	ϕ	X
ejpam-3048	539	14	:	:	PUNCT
ejpam-3048	539	15	i	i	PRON
ejpam-3048	539	16	−→	−→	VERB
ejpam-3048	540	1	k	k	X
ejpam-3048	540	2	be	be	AUX
ejpam-3048	540	3	a	a	DET
ejpam-3048	540	4	continuous	continuous	ADJ
ejpam-3048	540	5	function	function	NOUN
ejpam-3048	540	6	and	and	CCONJ
ejpam-3048	540	7	g	g	NOUN
ejpam-3048	540	8	:	:	PUNCT
ejpam-3048	541	1	[	[	X
ejpam-3048	541	2	0	0	NUM
ejpam-3048	541	3	,	,	PUNCT
ejpam-3048	541	4	1	1	NUM
ejpam-3048	541	5	]	]	X
ejpam-3048	541	6	−→	−→	NOUN
ejpam-3048	541	7	(	(	PUNCT
ejpam-3048	541	8	0	0	NUM
ejpam-3048	541	9	,	,	PUNCT
ejpam-3048	541	10	1	1	NUM
ejpam-3048	541	11	)	)	PUNCT
ejpam-3048	541	12	is	be	AUX
ejpam-3048	541	13	a.	a.	NOUN
ejpam-3048	541	14	fundo	fundo	PROPN
ejpam-3048	541	15	,	,	PUNCT
ejpam-3048	541	16	a.	a.	NOUN
ejpam-3048	541	17	kashuri	kashuri	PROPN
ejpam-3048	541	18	,	,	PUNCT
ejpam-3048	541	19	m.	m.	NOUN
ejpam-3048	541	20	ramosaço	ramosaço	PROPN
ejpam-3048	541	21	,	,	PUNCT
ejpam-3048	541	22	r.	r.	PROPN
ejpam-3048	541	23	liko	liko	PROPN
ejpam-3048	541	24	/	/	SYM
ejpam-3048	541	25	eur	eur	PROPN
ejpam-3048	541	26	.	.	PUNCT
ejpam-3048	542	1	j.	j.	PROPN
ejpam-3048	542	2	pure	pure	PROPN
ejpam-3048	542	3	appl	appl	PROPN
ejpam-3048	542	4	.	.	PROPN
ejpam-3048	542	5	math	math	PROPN
ejpam-3048	542	6	,	,	PUNCT
ejpam-3048	542	7	10	10	NUM
ejpam-3048	542	8	(	(	PUNCT
ejpam-3048	542	9	4	4	NUM
ejpam-3048	542	10	)	)	PUNCT
ejpam-3048	542	11	(	(	PUNCT
ejpam-3048	542	12	2017	2017	NUM
ejpam-3048	542	13	)	)	PUNCT
ejpam-3048	542	14	,	,	PUNCT
ejpam-3048	542	15	809	809	NUM
ejpam-3048	542	16	-	-	SYM
ejpam-3048	542	17	834	834	NUM
ejpam-3048	542	18	829	829	NUM
ejpam-3048	542	19	a	a	DET
ejpam-3048	542	20	differentiable	differentiable	ADJ
ejpam-3048	542	21	function	function	NOUN
ejpam-3048	542	22	.	.	PUNCT
ejpam-3048	543	1	therefore	therefore	ADV
ejpam-3048	543	2	one	one	PRON
ejpam-3048	543	3	can	can	AUX
ejpam-3048	543	4	obtain	obtain	VERB
ejpam-3048	543	5	various	various	ADJ
ejpam-3048	543	6	inequalities	inequality	NOUN
ejpam-3048	543	7	using	use	VERB
ejpam-3048	543	8	the	the	DET
ejpam-3048	543	9	results	result	NOUN
ejpam-3048	543	10	of	of	ADP
ejpam-3048	543	11	section	section	NOUN
ejpam-3048	543	12	3	3	NUM
ejpam-3048	543	13	for	for	ADP
ejpam-3048	543	14	these	these	DET
ejpam-3048	543	15	means	mean	NOUN
ejpam-3048	543	16	as	as	SCONJ
ejpam-3048	543	17	follows	follow	VERB
ejpam-3048	543	18	:	:	PUNCT
ejpam-3048	543	19	replace	replace	VERB
ejpam-3048	543	20	η(ϕ(x	η(ϕ(x	PROPN
ejpam-3048	543	21	)	)	PUNCT
ejpam-3048	543	22	,	,	PUNCT
ejpam-3048	543	23	ϕ(y),m	ϕ(y),m	NOUN
ejpam-3048	543	24	)	)	PUNCT
ejpam-3048	543	25	with	with	ADP
ejpam-3048	543	26	η(ϕ(x	η(ϕ(x	PROPN
ejpam-3048	543	27	)	)	PUNCT
ejpam-3048	543	28	,	,	PUNCT
ejpam-3048	543	29	ϕ(y	ϕ(y	PROPN
ejpam-3048	543	30	)	)	PUNCT
ejpam-3048	543	31	)	)	PUNCT
ejpam-3048	543	32	and	and	CCONJ
ejpam-3048	543	33	setting	set	VERB
ejpam-3048	543	34	η(ϕ(x	η(ϕ(x	PROPN
ejpam-3048	543	35	)	)	PUNCT
ejpam-3048	543	36	,	,	PUNCT
ejpam-3048	543	37	ϕ(y	ϕ(y	PROPN
ejpam-3048	543	38	)	)	PUNCT
ejpam-3048	543	39	)	)	PUNCT
ejpam-3048	544	1	=	=	SYM
ejpam-3048	544	2	m(ϕ(x	m(ϕ(x	PROPN
ejpam-3048	544	3	)	)	PUNCT
ejpam-3048	544	4	,	,	PUNCT
ejpam-3048	544	5	ϕ(y	ϕ(y	PROPN
ejpam-3048	544	6	)	)	PUNCT
ejpam-3048	544	7	)	)	PUNCT
ejpam-3048	544	8	,	,	PUNCT
ejpam-3048	544	9	∀x	∀x	X
ejpam-3048	544	10	,	,	PUNCT
ejpam-3048	544	11	y	y	PROPN
ejpam-3048	544	12	∈	∈	PROPN
ejpam-3048	545	1	i	i	PRON
ejpam-3048	545	2	,	,	PUNCT
ejpam-3048	545	3	for	for	ADP
ejpam-3048	545	4	value	value	NOUN
ejpam-3048	545	5	m	m	NOUN
ejpam-3048	545	6	=	=	NOUN
ejpam-3048	545	7	1	1	NUM
ejpam-3048	545	8	in	in	ADP
ejpam-3048	545	9	(	(	PUNCT
ejpam-3048	545	10	7	7	NUM
ejpam-3048	545	11	)	)	PUNCT
ejpam-3048	545	12	and	and	CCONJ
ejpam-3048	545	13	(	(	PUNCT
ejpam-3048	545	14	8)	8)	NUM
ejpam-3048	545	15	,	,	PUNCT
ejpam-3048	545	16	one	one	PRON
ejpam-3048	545	17	can	can	AUX
ejpam-3048	545	18	obtain	obtain	VERB
ejpam-3048	545	19	the	the	DET
ejpam-3048	545	20	following	follow	VERB
ejpam-3048	545	21	interesting	interesting	ADJ
ejpam-3048	545	22	inequalities	inequality	NOUN
ejpam-3048	545	23	involving	involve	VERB
ejpam-3048	545	24	means	mean	NOUN
ejpam-3048	545	25	:	:	PUNCT
ejpam-3048	545	26	|if	|if	NUM
ejpam-3048	545	27	,	,	PUNCT
ejpam-3048	545	28	g	g	NOUN
ejpam-3048	545	29	,	,	PUNCT
ejpam-3048	545	30	m(·,·),ϕ(x;α	m(·,·),ϕ(x;α	PROPN
ejpam-3048	545	31	,	,	PUNCT
ejpam-3048	545	32	n	n	CCONJ
ejpam-3048	545	33	,	,	PUNCT
ejpam-3048	545	34	1	1	NUM
ejpam-3048	545	35	,	,	PUNCT
ejpam-3048	545	36	a	a	DET
ejpam-3048	545	37	,	,	PUNCT
ejpam-3048	545	38	b)|	b)|	ADJ
ejpam-3048	545	39	=	=	SYM
ejpam-3048	545	40	∣∣∣∣∣mα+2(ϕ(a	∣∣∣∣∣mα+2(ϕ(a	NOUN
ejpam-3048	545	41	)	)	PUNCT
ejpam-3048	545	42	,	,	PUNCT
ejpam-3048	545	43	ϕ(x	ϕ(x	X
ejpam-3048	545	44	)	)	PUNCT
ejpam-3048	545	45	)	)	PUNCT
ejpam-3048	546	1	m(ϕ(a	m(ϕ(a	NOUN
ejpam-3048	546	2	)	)	PUNCT
ejpam-3048	546	3	,	,	PUNCT
ejpam-3048	546	4	ϕ(b	ϕ(b	PROPN
ejpam-3048	546	5	)	)	PUNCT
ejpam-3048	546	6	)	)	PUNCT
ejpam-3048	547	1	×	×	NOUN
ejpam-3048	547	2	{	{	PUNCT
ejpam-3048	547	3	β(n+	β(n+	PROPN
ejpam-3048	547	4	2	2	NUM
ejpam-3048	547	5	,	,	PUNCT
ejpam-3048	547	6	α−	α−	ADP
ejpam-3048	547	7	n	n	CCONJ
ejpam-3048	547	8	)	)	PUNCT
ejpam-3048	547	9	m(ϕ(a	m(ϕ(a	NOUN
ejpam-3048	547	10	)	)	PUNCT
ejpam-3048	547	11	,	,	PUNCT
ejpam-3048	547	12	ϕ(x	ϕ(x	X
ejpam-3048	547	13	)	)	PUNCT
ejpam-3048	547	14	)	)	PUNCT
ejpam-3048	548	1	×	×	NOUN
ejpam-3048	548	2	[	[	PUNCT
ejpam-3048	548	3	f	f	NOUN
ejpam-3048	548	4	′(ϕ(a	′(ϕ(a	NOUN
ejpam-3048	548	5	)	)	PUNCT
ejpam-3048	548	6	+	+	NUM
ejpam-3048	548	7	g(1)m(ϕ(a	g(1)m(ϕ(a	PROPN
ejpam-3048	548	8	)	)	PUNCT
ejpam-3048	548	9	,	,	PUNCT
ejpam-3048	548	10	ϕ(x)))−	ϕ(x)))−	PROPN
ejpam-3048	548	11	f	f	PROPN
ejpam-3048	548	12	′(ϕ(a	′(ϕ(a	NOUN
ejpam-3048	548	13	)	)	PUNCT
ejpam-3048	548	14	+	+	CCONJ
ejpam-3048	548	15	g(0)m(ϕ(a	g(0)m(ϕ(a	NOUN
ejpam-3048	548	16	)	)	PUNCT
ejpam-3048	548	17	,	,	PUNCT
ejpam-3048	548	18	ϕ(x	ϕ(x	X
ejpam-3048	548	19	)	)	PUNCT
ejpam-3048	548	20	)	)	PUNCT
ejpam-3048	548	21	]	]	PUNCT
ejpam-3048	549	1	−	−	PROPN
ejpam-3048	549	2	bg(1)(n+	bg(1)(n+	PROPN
ejpam-3048	549	3	2	2	NUM
ejpam-3048	549	4	,	,	PUNCT
ejpam-3048	549	5	α−	α−	ADP
ejpam-3048	549	6	n)f	n)f	NOUN
ejpam-3048	549	7	′(ϕ(a	′(ϕ(a	NOUN
ejpam-3048	549	8	)	)	PUNCT
ejpam-3048	549	9	+	+	NUM
ejpam-3048	550	1	g(1)m(ϕ(a	g(1)m(ϕ(a	PROPN
ejpam-3048	550	2	)	)	PUNCT
ejpam-3048	550	3	,	,	PUNCT
ejpam-3048	550	4	ϕ(x	ϕ(x	X
ejpam-3048	550	5	)	)	PUNCT
ejpam-3048	550	6	)	)	PUNCT
ejpam-3048	550	7	)	)	PUNCT
ejpam-3048	551	1	m(ϕ(a	m(ϕ(a	NOUN
ejpam-3048	551	2	)	)	PUNCT
ejpam-3048	551	3	,	,	PUNCT
ejpam-3048	551	4	ϕ(x	ϕ(x	X
ejpam-3048	551	5	)	)	PUNCT
ejpam-3048	551	6	)	)	PUNCT
ejpam-3048	552	1	+	+	CCONJ
ejpam-3048	552	2	1	1	NUM
ejpam-3048	552	3	m2(ϕ(a	m2(ϕ(a	NOUN
ejpam-3048	552	4	)	)	PUNCT
ejpam-3048	552	5	,	,	PUNCT
ejpam-3048	552	6	ϕ(x	ϕ(x	X
ejpam-3048	552	7	)	)	PUNCT
ejpam-3048	552	8	)	)	PUNCT
ejpam-3048	552	9	×	×	NOUN
ejpam-3048	552	10	[	[	PUNCT
ejpam-3048	552	11	gn+1(1)(1−	gn+1(1)(1−	NOUN
ejpam-3048	552	12	g(1))α−n−1f(ϕ(a	g(1))α−n−1f(ϕ(a	NOUN
ejpam-3048	552	13	)	)	PUNCT
ejpam-3048	552	14	+	+	NUM
ejpam-3048	553	1	g(1)m(ϕ(a	g(1)m(ϕ(a	PROPN
ejpam-3048	553	2	)	)	PUNCT
ejpam-3048	553	3	,	,	PUNCT
ejpam-3048	553	4	ϕ(x	ϕ(x	X
ejpam-3048	553	5	)	)	PUNCT
ejpam-3048	553	6	)	)	PUNCT
ejpam-3048	553	7	)	)	PUNCT
ejpam-3048	554	1	−gn+1(0)(1−	−gn+1(0)(1−	ADP
ejpam-3048	554	2	g(0))α−n−1f(ϕ(a	g(0))α−n−1f(ϕ(a	NOUN
ejpam-3048	554	3	)	)	PUNCT
ejpam-3048	554	4	+	+	CCONJ
ejpam-3048	554	5	g(0)m(ϕ(a	g(0)m(ϕ(a	NOUN
ejpam-3048	554	6	)	)	PUNCT
ejpam-3048	554	7	,	,	PUNCT
ejpam-3048	554	8	ϕ(x	ϕ(x	X
ejpam-3048	554	9	)	)	PUNCT
ejpam-3048	554	10	)	)	PUNCT
ejpam-3048	554	11	)	)	PUNCT
ejpam-3048	554	12	]	]	PUNCT
ejpam-3048	555	1	+	+	CCONJ
ejpam-3048	555	2	1	1	NUM
ejpam-3048	555	3	mα+2(ϕ(a	mα+2(ϕ(a	NOUN
ejpam-3048	555	4	)	)	PUNCT
ejpam-3048	555	5	,	,	PUNCT
ejpam-3048	555	6	ϕ(x	ϕ(x	X
ejpam-3048	555	7	)	)	PUNCT
ejpam-3048	555	8	)	)	PUNCT
ejpam-3048	556	1	×	×	NOUN
ejpam-3048	556	2	[	[	PUNCT
ejpam-3048	556	3	(	(	PUNCT
ejpam-3048	556	4	n+	n+	NOUN
ejpam-3048	556	5	1	1	NUM
ejpam-3048	556	6	)	)	PUNCT
ejpam-3048	556	7	∫	∫	PROPN
ejpam-3048	556	8	ϕ(a)+g(1)m(ϕ(a),ϕ(x	ϕ(a)+g(1)m(ϕ(a),ϕ(x	PROPN
ejpam-3048	556	9	)	)	PUNCT
ejpam-3048	556	10	)	)	PUNCT
ejpam-3048	557	1	ϕ(a)+g(0)m(ϕ(a),ϕ(x	ϕ(a)+g(0)m(ϕ(a),ϕ(x	PROPN
ejpam-3048	557	2	)	)	PUNCT
ejpam-3048	557	3	)	)	PUNCT
ejpam-3048	558	1	(	(	PUNCT
ejpam-3048	558	2	t−	t−	DET
ejpam-3048	558	3	ϕ(a))n	ϕ(a))n	PROPN
ejpam-3048	558	4	×(ϕ(a	×(ϕ(a	PROPN
ejpam-3048	558	5	)	)	PUNCT
ejpam-3048	558	6	+	+	NUM
ejpam-3048	558	7	m(ϕ(a	m(ϕ(a	NOUN
ejpam-3048	558	8	)	)	PUNCT
ejpam-3048	558	9	,	,	PUNCT
ejpam-3048	558	10	ϕ(x))−	ϕ(x))−	VERB
ejpam-3048	558	11	t)α−n−1f(t)dt	t)α−n−1f(t)dt	PROPN
ejpam-3048	558	12	−(α−	−(α−	NOUN
ejpam-3048	558	13	n−	n−	NOUN
ejpam-3048	558	14	1	1	NUM
ejpam-3048	558	15	)	)	PUNCT
ejpam-3048	558	16	∫	∫	PROPN
ejpam-3048	558	17	ϕ(a)+g(1)m(ϕ(a),ϕ(x	ϕ(a)+g(1)m(ϕ(a),ϕ(x	PROPN
ejpam-3048	558	18	)	)	PUNCT
ejpam-3048	558	19	)	)	PUNCT
ejpam-3048	559	1	ϕ(a)+g(0)m(ϕ(a),ϕ(x	ϕ(a)+g(0)m(ϕ(a),ϕ(x	PROPN
ejpam-3048	559	2	)	)	PUNCT
ejpam-3048	559	3	)	)	PUNCT
ejpam-3048	560	1	(	(	PUNCT
ejpam-3048	560	2	t−	t−	PROPN
ejpam-3048	560	3	ϕ(a))n+1	ϕ(a))n+1	NOUN
ejpam-3048	560	4	×(ϕ(a	×(ϕ(a	PROPN
ejpam-3048	560	5	)	)	PUNCT
ejpam-3048	561	1	+	+	NUM
ejpam-3048	561	2	m(ϕ(a	m(ϕ(a	NOUN
ejpam-3048	561	3	)	)	PUNCT
ejpam-3048	561	4	,	,	PUNCT
ejpam-3048	561	5	ϕ(x))−	ϕ(x))−	NOUN
ejpam-3048	561	6	t)α−n−2f(t)dt	t)α−n−2f(t)dt	NOUN
ejpam-3048	561	7	]	]	PUNCT
ejpam-3048	561	8	}	}	PUNCT
ejpam-3048	561	9	+	+	CCONJ
ejpam-3048	561	10	mα+2(ϕ(b	mα+2(ϕ(b	NOUN
ejpam-3048	561	11	)	)	PUNCT
ejpam-3048	561	12	,	,	PUNCT
ejpam-3048	561	13	ϕ(x	ϕ(x	X
ejpam-3048	561	14	)	)	PUNCT
ejpam-3048	561	15	)	)	PUNCT
ejpam-3048	562	1	m(ϕ(a	m(ϕ(a	NOUN
ejpam-3048	562	2	)	)	PUNCT
ejpam-3048	562	3	,	,	PUNCT
ejpam-3048	562	4	ϕ(b	ϕ(b	PROPN
ejpam-3048	562	5	)	)	PUNCT
ejpam-3048	562	6	)	)	PUNCT
ejpam-3048	563	1	×	×	NOUN
ejpam-3048	563	2	{	{	PUNCT
ejpam-3048	563	3	β(n+	β(n+	PROPN
ejpam-3048	563	4	2	2	NUM
ejpam-3048	563	5	,	,	PUNCT
ejpam-3048	563	6	α−	α−	ADP
ejpam-3048	563	7	n	n	CCONJ
ejpam-3048	563	8	)	)	PUNCT
ejpam-3048	563	9	m(ϕ(b	m(ϕ(b	PROPN
ejpam-3048	563	10	)	)	PUNCT
ejpam-3048	563	11	,	,	PUNCT
ejpam-3048	563	12	ϕ(x	ϕ(x	X
ejpam-3048	563	13	)	)	PUNCT
ejpam-3048	563	14	)	)	PUNCT
ejpam-3048	564	1	×	×	NOUN
ejpam-3048	564	2	[	[	PUNCT
ejpam-3048	564	3	f	f	PROPN
ejpam-3048	564	4	′(ϕ(b	′(ϕ(b	PROPN
ejpam-3048	564	5	)	)	PUNCT
ejpam-3048	564	6	+	+	CCONJ
ejpam-3048	564	7	g(1)m(ϕ(b	g(1)m(ϕ(b	PROPN
ejpam-3048	564	8	)	)	PUNCT
ejpam-3048	564	9	,	,	PUNCT
ejpam-3048	564	10	ϕ(x)))−	ϕ(x)))−	PROPN
ejpam-3048	564	11	f	f	PROPN
ejpam-3048	564	12	′(ϕ(b	′(ϕ(b	PROPN
ejpam-3048	564	13	)	)	PUNCT
ejpam-3048	564	14	+	+	CCONJ
ejpam-3048	564	15	g(0)m(ϕ(b	g(0)m(ϕ(b	PROPN
ejpam-3048	564	16	)	)	PUNCT
ejpam-3048	564	17	,	,	PUNCT
ejpam-3048	564	18	ϕ(x	ϕ(x	X
ejpam-3048	564	19	)	)	PUNCT
ejpam-3048	564	20	)	)	PUNCT
ejpam-3048	564	21	]	]	PUNCT
ejpam-3048	565	1	−	−	PROPN
ejpam-3048	565	2	bg(1)(n+	bg(1)(n+	PROPN
ejpam-3048	565	3	2	2	NUM
ejpam-3048	565	4	,	,	PUNCT
ejpam-3048	565	5	α−	α−	ADP
ejpam-3048	565	6	n)f	n)f	NOUN
ejpam-3048	565	7	′(ϕ(b	′(ϕ(b	NOUN
ejpam-3048	565	8	)	)	PUNCT
ejpam-3048	565	9	+	+	CCONJ
ejpam-3048	565	10	g(1)m(ϕ(b	g(1)m(ϕ(b	PROPN
ejpam-3048	565	11	)	)	PUNCT
ejpam-3048	565	12	,	,	PUNCT
ejpam-3048	565	13	ϕ(x	ϕ(x	X
ejpam-3048	565	14	)	)	PUNCT
ejpam-3048	565	15	)	)	PUNCT
ejpam-3048	565	16	)	)	PUNCT
ejpam-3048	566	1	m(ϕ(b	m(ϕ(b	PROPN
ejpam-3048	566	2	)	)	PUNCT
ejpam-3048	566	3	,	,	PUNCT
ejpam-3048	566	4	ϕ(x	ϕ(x	X
ejpam-3048	566	5	)	)	PUNCT
ejpam-3048	566	6	)	)	PUNCT
ejpam-3048	567	1	a.	a.	NOUN
ejpam-3048	567	2	fundo	fundo	PROPN
ejpam-3048	567	3	,	,	PUNCT
ejpam-3048	567	4	a.	a.	NOUN
ejpam-3048	567	5	kashuri	kashuri	PROPN
ejpam-3048	567	6	,	,	PUNCT
ejpam-3048	567	7	m.	m.	NOUN
ejpam-3048	567	8	ramosaço	ramosaço	PROPN
ejpam-3048	567	9	,	,	PUNCT
ejpam-3048	567	10	r.	r.	PROPN
ejpam-3048	567	11	liko	liko	PROPN
ejpam-3048	567	12	/	/	SYM
ejpam-3048	567	13	eur	eur	PROPN
ejpam-3048	567	14	.	.	PUNCT
ejpam-3048	568	1	j.	j.	PROPN
ejpam-3048	568	2	pure	pure	PROPN
ejpam-3048	568	3	appl	appl	PROPN
ejpam-3048	568	4	.	.	PROPN
ejpam-3048	568	5	math	math	PROPN
ejpam-3048	568	6	,	,	PUNCT
ejpam-3048	568	7	10	10	NUM
ejpam-3048	568	8	(	(	PUNCT
ejpam-3048	568	9	4	4	NUM
ejpam-3048	568	10	)	)	PUNCT
ejpam-3048	568	11	(	(	PUNCT
ejpam-3048	568	12	2017	2017	NUM
ejpam-3048	568	13	)	)	PUNCT
ejpam-3048	568	14	,	,	PUNCT
ejpam-3048	568	15	809	809	NUM
ejpam-3048	568	16	-	-	SYM
ejpam-3048	568	17	834	834	NUM
ejpam-3048	568	18	830	830	NUM
ejpam-3048	568	19	+	+	CCONJ
ejpam-3048	568	20	1	1	NUM
ejpam-3048	568	21	m2(ϕ(b	m2(ϕ(b	NUM
ejpam-3048	568	22	)	)	PUNCT
ejpam-3048	568	23	,	,	PUNCT
ejpam-3048	568	24	ϕ(x	ϕ(x	X
ejpam-3048	568	25	)	)	PUNCT
ejpam-3048	568	26	)	)	PUNCT
ejpam-3048	569	1	×	×	NOUN
ejpam-3048	569	2	[	[	PUNCT
ejpam-3048	569	3	gn+1(1)(1−	gn+1(1)(1−	X
ejpam-3048	569	4	g(1))α−n−1f(ϕ(b	g(1))α−n−1f(ϕ(b	NOUN
ejpam-3048	569	5	)	)	PUNCT
ejpam-3048	569	6	+	+	CCONJ
ejpam-3048	569	7	g(1)m(ϕ(b	g(1)m(ϕ(b	PROPN
ejpam-3048	569	8	)	)	PUNCT
ejpam-3048	569	9	,	,	PUNCT
ejpam-3048	569	10	ϕ(x	ϕ(x	X
ejpam-3048	569	11	)	)	PUNCT
ejpam-3048	569	12	)	)	PUNCT
ejpam-3048	569	13	)	)	PUNCT
ejpam-3048	570	1	−gn+1(0)(1−	−gn+1(0)(1−	ADP
ejpam-3048	570	2	g(0))α−n−1f(ϕ(b	g(0))α−n−1f(ϕ(b	PROPN
ejpam-3048	570	3	)	)	PUNCT
ejpam-3048	570	4	+	+	NUM
ejpam-3048	570	5	g(0)m(ϕ(b	g(0)m(ϕ(b	PROPN
ejpam-3048	570	6	)	)	PUNCT
ejpam-3048	570	7	,	,	PUNCT
ejpam-3048	570	8	ϕ(x	ϕ(x	X
ejpam-3048	570	9	)	)	PUNCT
ejpam-3048	570	10	)	)	PUNCT
ejpam-3048	570	11	)	)	PUNCT
ejpam-3048	570	12	]	]	PUNCT
ejpam-3048	571	1	+	+	CCONJ
ejpam-3048	571	2	1	1	NUM
ejpam-3048	571	3	mα+2(ϕ(b	mα+2(ϕ(b	NOUN
ejpam-3048	571	4	)	)	PUNCT
ejpam-3048	571	5	,	,	PUNCT
ejpam-3048	571	6	ϕ(x	ϕ(x	X
ejpam-3048	571	7	)	)	PUNCT
ejpam-3048	571	8	)	)	PUNCT
ejpam-3048	572	1	×	×	NOUN
ejpam-3048	572	2	[	[	PUNCT
ejpam-3048	572	3	(	(	PUNCT
ejpam-3048	572	4	n+	n+	NOUN
ejpam-3048	572	5	1	1	NUM
ejpam-3048	572	6	)	)	PUNCT
ejpam-3048	572	7	∫	∫	PROPN
ejpam-3048	572	8	ϕ(b)+g(1)m(ϕ(b),ϕ(x	ϕ(b)+g(1)m(ϕ(b),ϕ(x	PROPN
ejpam-3048	572	9	)	)	PUNCT
ejpam-3048	572	10	)	)	PUNCT
ejpam-3048	572	11	ϕ(b)+g(0)m(ϕ(b),ϕ(x	ϕ(b)+g(0)m(ϕ(b),ϕ(x	PROPN
ejpam-3048	572	12	)	)	PUNCT
ejpam-3048	572	13	)	)	PUNCT
ejpam-3048	573	1	(	(	PUNCT
ejpam-3048	573	2	t−	t−	PROPN
ejpam-3048	573	3	ϕ(b))n	ϕ(b))n	PROPN
ejpam-3048	573	4	×(ϕ(b	×(ϕ(b	PROPN
ejpam-3048	573	5	)	)	PUNCT
ejpam-3048	573	6	+	+	NOUN
ejpam-3048	573	7	m(ϕ(b	m(ϕ(b	PROPN
ejpam-3048	573	8	)	)	PUNCT
ejpam-3048	573	9	,	,	PUNCT
ejpam-3048	573	10	ϕ(x))−	ϕ(x))−	NOUN
ejpam-3048	573	11	t)α−n−1f(t)dt	t)α−n−1f(t)dt	PROPN
ejpam-3048	573	12	−(α−	−(α−	NOUN
ejpam-3048	573	13	n−	n−	NOUN
ejpam-3048	573	14	1	1	NUM
ejpam-3048	573	15	)	)	PUNCT
ejpam-3048	573	16	∫	∫	PROPN
ejpam-3048	573	17	ϕ(b)+g(1)m(ϕ(b),ϕ(x	ϕ(b)+g(1)m(ϕ(b),ϕ(x	PROPN
ejpam-3048	573	18	)	)	PUNCT
ejpam-3048	573	19	)	)	PUNCT
ejpam-3048	574	1	ϕ(b)+g(0)m(ϕ(b),ϕ(x	ϕ(b)+g(0)m(ϕ(b),ϕ(x	PROPN
ejpam-3048	574	2	)	)	PUNCT
ejpam-3048	574	3	)	)	PUNCT
ejpam-3048	575	1	(	(	PUNCT
ejpam-3048	575	2	t−	t−	PROPN
ejpam-3048	575	3	ϕ(b))n+1	ϕ(b))n+1	ADV
ejpam-3048	575	4	×(ϕ(b	×(ϕ(b	PRON
ejpam-3048	575	5	)	)	PUNCT
ejpam-3048	575	6	+	+	NOUN
ejpam-3048	575	7	m(ϕ(b	m(ϕ(b	PROPN
ejpam-3048	575	8	)	)	PUNCT
ejpam-3048	575	9	,	,	PUNCT
ejpam-3048	575	10	ϕ(x))−	ϕ(x))−	NOUN
ejpam-3048	575	11	t)α−n−2f(t)dt	t)α−n−2f(t)dt	NOUN
ejpam-3048	575	12	]	]	PUNCT
ejpam-3048	575	13	}	}	PUNCT
ejpam-3048	575	14	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-3048	575	15	≤	≤	NUM
ejpam-3048	575	16	(	(	PUNCT
ejpam-3048	575	17	1	1	NUM
ejpam-3048	575	18	2	2	NUM
ejpam-3048	575	19	)	)	PUNCT
ejpam-3048	575	20	1	1	NUM
ejpam-3048	575	21	rq	rq	VERB
ejpam-3048	575	22	δ	δ	PROPN
ejpam-3048	575	23	1	1	NUM
ejpam-3048	575	24	p	p	X
ejpam-3048	575	25	(	(	PUNCT
ejpam-3048	575	26	g(t	g(t	PROPN
ejpam-3048	575	27	)	)	PUNCT
ejpam-3048	575	28	;	;	PUNCT
ejpam-3048	575	29	p	p	X
ejpam-3048	575	30	,	,	PUNCT
ejpam-3048	575	31	α	α	NOUN
ejpam-3048	575	32	,	,	PUNCT
ejpam-3048	575	33	n	n	CCONJ
ejpam-3048	575	34	)	)	PUNCT
ejpam-3048	575	35	m(ϕ(a	m(ϕ(a	NOUN
ejpam-3048	575	36	)	)	PUNCT
ejpam-3048	575	37	,	,	PUNCT
ejpam-3048	575	38	ϕ(b	ϕ(b	PROPN
ejpam-3048	575	39	)	)	PUNCT
ejpam-3048	575	40	)	)	PUNCT
ejpam-3048	576	1	×	×	NOUN
ejpam-3048	576	2	{	{	PUNCT
ejpam-3048	576	3	mα+2(ϕ(a	mα+2(ϕ(a	NOUN
ejpam-3048	576	4	)	)	PUNCT
ejpam-3048	576	5	,	,	PUNCT
ejpam-3048	576	6	ϕ(x	ϕ(x	X
ejpam-3048	576	7	)	)	PUNCT
ejpam-3048	576	8	)	)	PUNCT
ejpam-3048	577	1	[	[	PUNCT
ejpam-3048	577	2	br	br	NUM
ejpam-3048	577	3	g(1	g(1	NOUN
ejpam-3048	577	4	)	)	PUNCT
ejpam-3048	577	5	(	(	PUNCT
ejpam-3048	577	6	1−	1−	NUM
ejpam-3048	577	7	1	1	NUM
ejpam-3048	577	8	2r	2r	NUM
ejpam-3048	577	9	,	,	PUNCT
ejpam-3048	577	10	1	1	NUM
ejpam-3048	577	11	+	+	SYM
ejpam-3048	577	12	1	1	NUM
ejpam-3048	577	13	2r	2r	NUM
ejpam-3048	577	14	)	)	PUNCT
ejpam-3048	578	1	f	f	PROPN
ejpam-3048	579	1	′′(ϕ(a))rq	′′(ϕ(a))rq	PROPN
ejpam-3048	579	2	+	+	NOUN
ejpam-3048	579	3	br	br	NOUN
ejpam-3048	579	4	g(1	g(1	NOUN
ejpam-3048	579	5	)	)	PUNCT
ejpam-3048	579	6	(	(	PUNCT
ejpam-3048	579	7	1	1	NUM
ejpam-3048	579	8	+	+	SYM
ejpam-3048	579	9	1	1	NUM
ejpam-3048	579	10	2r	2r	NUM
ejpam-3048	579	11	,	,	PUNCT
ejpam-3048	579	12	1−	1−	NUM
ejpam-3048	579	13	1	1	NUM
ejpam-3048	579	14	2r	2r	NUM
ejpam-3048	579	15	)	)	PUNCT
ejpam-3048	580	1	f	f	NOUN
ejpam-3048	580	2	′′(ϕ(x))rq	′′(ϕ(x))rq	NUM
ejpam-3048	580	3	]	]	PUNCT
ejpam-3048	580	4	1	1	NUM
ejpam-3048	580	5	rq	rq	X
ejpam-3048	580	6	+	+	NOUN
ejpam-3048	580	7	mα+2(ϕ(b	mα+2(ϕ(b	NOUN
ejpam-3048	580	8	)	)	PUNCT
ejpam-3048	580	9	,	,	PUNCT
ejpam-3048	580	10	ϕ(x	ϕ(x	X
ejpam-3048	580	11	)	)	PUNCT
ejpam-3048	580	12	)	)	PUNCT
ejpam-3048	581	1	[	[	PUNCT
ejpam-3048	581	2	br	br	NUM
ejpam-3048	581	3	g(1	g(1	NOUN
ejpam-3048	581	4	)	)	PUNCT
ejpam-3048	581	5	(	(	PUNCT
ejpam-3048	581	6	1−	1−	NUM
ejpam-3048	581	7	1	1	NUM
ejpam-3048	581	8	2r	2r	NUM
ejpam-3048	581	9	,	,	PUNCT
ejpam-3048	581	10	1	1	NUM
ejpam-3048	581	11	+	+	SYM
ejpam-3048	581	12	1	1	NUM
ejpam-3048	581	13	2r	2r	NUM
ejpam-3048	581	14	)	)	PUNCT
ejpam-3048	582	1	f	f	X
ejpam-3048	583	1	′′(ϕ(b))rq	′′(ϕ(b))rq	NOUN
ejpam-3048	584	1	+	+	NOUN
ejpam-3048	584	2	br	br	NOUN
ejpam-3048	584	3	g(1	g(1	NOUN
ejpam-3048	584	4	)	)	PUNCT
ejpam-3048	584	5	(	(	PUNCT
ejpam-3048	584	6	1	1	NUM
ejpam-3048	584	7	+	+	SYM
ejpam-3048	584	8	1	1	NUM
ejpam-3048	584	9	2r	2r	NUM
ejpam-3048	584	10	,	,	PUNCT
ejpam-3048	584	11	1−	1−	NUM
ejpam-3048	584	12	1	1	NUM
ejpam-3048	584	13	2r	2r	NUM
ejpam-3048	584	14	)	)	PUNCT
ejpam-3048	585	1	f	f	NOUN
ejpam-3048	585	2	′′(ϕ(x))rq	′′(ϕ(x))rq	PROPN
ejpam-3048	585	3	]	]	PUNCT
ejpam-3048	585	4	1	1	NUM
ejpam-3048	585	5	rq	rq	NOUN
ejpam-3048	585	6	}	}	PUNCT
ejpam-3048	585	7	,	,	PUNCT
ejpam-3048	585	8	(	(	PUNCT
ejpam-3048	585	9	9	9	X
ejpam-3048	585	10	)	)	PUNCT
ejpam-3048	585	11	|if	|if	NUM
ejpam-3048	585	12	,	,	PUNCT
ejpam-3048	585	13	g	g	NOUN
ejpam-3048	585	14	,	,	PUNCT
ejpam-3048	585	15	m(·,·),ϕ(x;α	m(·,·),ϕ(x;α	PROPN
ejpam-3048	585	16	,	,	PUNCT
ejpam-3048	585	17	n	n	CCONJ
ejpam-3048	585	18	,	,	PUNCT
ejpam-3048	585	19	1	1	NUM
ejpam-3048	585	20	,	,	PUNCT
ejpam-3048	585	21	a	a	DET
ejpam-3048	585	22	,	,	PUNCT
ejpam-3048	585	23	b)|	b)|	ADJ
ejpam-3048	585	24	≤	≤	NOUN
ejpam-3048	585	25	(	(	PUNCT
ejpam-3048	585	26	1	1	NUM
ejpam-3048	585	27	2	2	NUM
ejpam-3048	585	28	)	)	PUNCT
ejpam-3048	585	29	1	1	NUM
ejpam-3048	585	30	rq	rq	NOUN
ejpam-3048	585	31	h	h	NOUN
ejpam-3048	585	32	1−	1−	NUM
ejpam-3048	585	33	1	1	NUM
ejpam-3048	585	34	q	q	NOUN
ejpam-3048	585	35	m(ϕ(a	m(ϕ(a	NOUN
ejpam-3048	585	36	)	)	PUNCT
ejpam-3048	585	37	,	,	PUNCT
ejpam-3048	585	38	ϕ(b	ϕ(b	PROPN
ejpam-3048	585	39	)	)	PUNCT
ejpam-3048	585	40	)	)	PUNCT
ejpam-3048	586	1	×	×	NOUN
ejpam-3048	586	2	{	{	PUNCT
ejpam-3048	586	3	mα+2(ϕ(a	mα+2(ϕ(a	NOUN
ejpam-3048	586	4	)	)	PUNCT
ejpam-3048	586	5	,	,	PUNCT
ejpam-3048	586	6	ϕ(x	ϕ(x	X
ejpam-3048	586	7	)	)	PUNCT
ejpam-3048	586	8	)	)	PUNCT
ejpam-3048	587	1	×	×	NOUN
ejpam-3048	588	1	[	[	X
ejpam-3048	588	2	(	(	PUNCT
ejpam-3048	588	3	β(n+	β(n+	NUM
ejpam-3048	588	4	2	2	NUM
ejpam-3048	588	5	,	,	PUNCT
ejpam-3048	588	6	α−	α−	ADP
ejpam-3048	588	7	n)bg(1	n)bg(1	NOUN
ejpam-3048	588	8	)	)	PUNCT
ejpam-3048	588	9	(	(	PUNCT
ejpam-3048	588	10	1−	1−	NUM
ejpam-3048	588	11	1	1	NUM
ejpam-3048	588	12	2r	2r	NUM
ejpam-3048	588	13	,	,	PUNCT
ejpam-3048	588	14	1	1	NUM
ejpam-3048	588	15	+	+	SYM
ejpam-3048	588	16	1	1	NUM
ejpam-3048	588	17	2r	2r	NUM
ejpam-3048	588	18	)	)	PUNCT
ejpam-3048	589	1	−d(g(t);α	−d(g(t);α	ADP
ejpam-3048	589	2	,	,	PUNCT
ejpam-3048	589	3	n	n	CCONJ
ejpam-3048	589	4	,	,	PUNCT
ejpam-3048	589	5	r	r	NOUN
ejpam-3048	589	6	)	)	PUNCT
ejpam-3048	589	7	)	)	PUNCT
ejpam-3048	590	1	r	r	NOUN
ejpam-3048	590	2	f	f	NOUN
ejpam-3048	590	3	′′(ϕ(a))rq	′′(ϕ(a))rq	PROPN
ejpam-3048	590	4	references	reference	NOUN
ejpam-3048	590	5	831	831	NUM
ejpam-3048	590	6	+	+	CCONJ
ejpam-3048	590	7	(	(	PUNCT
ejpam-3048	590	8	β(n+	β(n+	NUM
ejpam-3048	590	9	2	2	NUM
ejpam-3048	590	10	,	,	PUNCT
ejpam-3048	590	11	α−	α−	ADP
ejpam-3048	590	12	n)bg(1	n)bg(1	NOUN
ejpam-3048	590	13	)	)	PUNCT
ejpam-3048	590	14	(	(	PUNCT
ejpam-3048	590	15	1	1	NUM
ejpam-3048	590	16	+	+	SYM
ejpam-3048	590	17	1	1	NUM
ejpam-3048	590	18	2r	2r	NUM
ejpam-3048	590	19	,	,	PUNCT
ejpam-3048	590	20	1−	1−	NUM
ejpam-3048	590	21	1	1	NUM
ejpam-3048	590	22	2r	2r	NUM
ejpam-3048	590	23	)	)	PUNCT
ejpam-3048	590	24	−	−	PROPN
ejpam-3048	590	25	c(g(t);α	c(g(t);α	PROPN
ejpam-3048	590	26	,	,	PUNCT
ejpam-3048	590	27	n	n	CCONJ
ejpam-3048	590	28	,	,	PUNCT
ejpam-3048	590	29	r	r	NOUN
ejpam-3048	590	30	)	)	PUNCT
ejpam-3048	590	31	)	)	PUNCT
ejpam-3048	591	1	r	r	NOUN
ejpam-3048	591	2	f	f	NOUN
ejpam-3048	591	3	′′(ϕ(x))rq	′′(ϕ(x))rq	NUM
ejpam-3048	591	4	]	]	PUNCT
ejpam-3048	591	5	1	1	NUM
ejpam-3048	591	6	rq	rq	X
ejpam-3048	591	7	+	+	NOUN
ejpam-3048	591	8	mα+2(ϕ(b	mα+2(ϕ(b	NOUN
ejpam-3048	591	9	)	)	PUNCT
ejpam-3048	591	10	,	,	PUNCT
ejpam-3048	591	11	ϕ(x	ϕ(x	X
ejpam-3048	591	12	)	)	PUNCT
ejpam-3048	591	13	)	)	PUNCT
ejpam-3048	592	1	×	×	NOUN
ejpam-3048	593	1	[	[	X
ejpam-3048	593	2	(	(	PUNCT
ejpam-3048	593	3	β(n+	β(n+	NUM
ejpam-3048	593	4	2	2	NUM
ejpam-3048	593	5	,	,	PUNCT
ejpam-3048	593	6	α−	α−	ADP
ejpam-3048	593	7	n)bg(1	n)bg(1	NOUN
ejpam-3048	593	8	)	)	PUNCT
ejpam-3048	593	9	(	(	PUNCT
ejpam-3048	593	10	1−	1−	NUM
ejpam-3048	593	11	1	1	NUM
ejpam-3048	593	12	2r	2r	NUM
ejpam-3048	593	13	,	,	PUNCT
ejpam-3048	593	14	1	1	NUM
ejpam-3048	593	15	+	+	SYM
ejpam-3048	593	16	1	1	NUM
ejpam-3048	593	17	2r	2r	NUM
ejpam-3048	593	18	)	)	PUNCT
ejpam-3048	594	1	−d(g(t);α	−d(g(t);α	ADP
ejpam-3048	594	2	,	,	PUNCT
ejpam-3048	594	3	n	n	CCONJ
ejpam-3048	594	4	,	,	PUNCT
ejpam-3048	594	5	r	r	NOUN
ejpam-3048	594	6	)	)	PUNCT
ejpam-3048	594	7	)	)	PUNCT
ejpam-3048	595	1	r	r	NOUN
ejpam-3048	595	2	f	f	PROPN
ejpam-3048	595	3	′′(ϕ(b))rq	′′(ϕ(b))rq	PROPN
ejpam-3048	596	1	+	+	CCONJ
ejpam-3048	596	2	(	(	PUNCT
ejpam-3048	596	3	β(n+	β(n+	NUM
ejpam-3048	596	4	2	2	NUM
ejpam-3048	596	5	,	,	PUNCT
ejpam-3048	596	6	α−	α−	ADP
ejpam-3048	596	7	n)bg(1	n)bg(1	NOUN
ejpam-3048	596	8	)	)	PUNCT
ejpam-3048	596	9	(	(	PUNCT
ejpam-3048	596	10	1	1	NUM
ejpam-3048	596	11	+	+	SYM
ejpam-3048	596	12	1	1	NUM
ejpam-3048	596	13	2r	2r	NUM
ejpam-3048	596	14	,	,	PUNCT
ejpam-3048	596	15	1−	1−	NUM
ejpam-3048	596	16	1	1	NUM
ejpam-3048	596	17	2r	2r	NUM
ejpam-3048	596	18	)	)	PUNCT
ejpam-3048	597	1	−	−	PROPN
ejpam-3048	597	2	c(g(t);α	c(g(t);α	PROPN
ejpam-3048	597	3	,	,	PUNCT
ejpam-3048	597	4	n	n	CCONJ
ejpam-3048	597	5	,	,	PUNCT
ejpam-3048	597	6	r	r	NOUN
ejpam-3048	597	7	)	)	PUNCT
ejpam-3048	597	8	)	)	PUNCT
ejpam-3048	598	1	r	r	NOUN
ejpam-3048	598	2	f	f	NOUN
ejpam-3048	598	3	′′(ϕ(x))rq	′′(ϕ(x))rq	PROPN
ejpam-3048	598	4	]	]	PUNCT
ejpam-3048	598	5	1	1	NUM
ejpam-3048	598	6	rq	rq	NOUN
ejpam-3048	598	7	}	}	PUNCT
ejpam-3048	598	8	.	.	PUNCT
ejpam-3048	599	1	(	(	PUNCT
ejpam-3048	599	2	10	10	X
ejpam-3048	599	3	)	)	PUNCT
ejpam-3048	599	4	letting	let	VERB
ejpam-3048	599	5	m(ϕ(x	m(ϕ(x	PROPN
ejpam-3048	599	6	)	)	PUNCT
ejpam-3048	599	7	,	,	PUNCT
ejpam-3048	599	8	ϕ(y	ϕ(y	PROPN
ejpam-3048	599	9	)	)	PUNCT
ejpam-3048	599	10	)	)	PUNCT
ejpam-3048	600	1	=	=	PUNCT
ejpam-3048	600	2	a	a	DET
ejpam-3048	600	3	,	,	PUNCT
ejpam-3048	600	4	g	g	PROPN
ejpam-3048	600	5	,	,	PUNCT
ejpam-3048	600	6	h	h	NOUN
ejpam-3048	600	7	,	,	PUNCT
ejpam-3048	600	8	pr	pr	X
ejpam-3048	600	9	,	,	PUNCT
ejpam-3048	600	10	i	i	PRON
ejpam-3048	600	11	,	,	PUNCT
ejpam-3048	600	12	l	l	PROPN
ejpam-3048	600	13	,	,	PUNCT
ejpam-3048	600	14	lp	lp	PROPN
ejpam-3048	600	15	,	,	PUNCT
ejpam-3048	600	16	mp	mp	PROPN
ejpam-3048	600	17	,	,	PUNCT
ejpam-3048	600	18	∀x	∀x	X
ejpam-3048	600	19	,	,	PUNCT
ejpam-3048	600	20	y	y	PROPN
ejpam-3048	600	21	∈	∈	PROPN
ejpam-3048	601	1	i	i	PRON
ejpam-3048	601	2	in	in	ADP
ejpam-3048	601	3	(	(	PUNCT
ejpam-3048	601	4	9	9	NUM
ejpam-3048	601	5	)	)	PUNCT
ejpam-3048	601	6	and	and	CCONJ
ejpam-3048	601	7	(	(	PUNCT
ejpam-3048	601	8	10	10	NUM
ejpam-3048	601	9	)	)	PUNCT
ejpam-3048	601	10	,	,	PUNCT
ejpam-3048	601	11	we	we	PRON
ejpam-3048	601	12	get	get	VERB
ejpam-3048	601	13	the	the	DET
ejpam-3048	601	14	inequalities	inequality	NOUN
ejpam-3048	601	15	involving	involve	VERB
ejpam-3048	601	16	means	mean	NOUN
ejpam-3048	601	17	for	for	ADP
ejpam-3048	601	18	a	a	DET
ejpam-3048	601	19	particular	particular	ADJ
ejpam-3048	601	20	choices	choice	NOUN
ejpam-3048	601	21	of	of	ADP
ejpam-3048	601	22	a	a	DET
ejpam-3048	601	23	nonnegative	nonnegative	ADJ
ejpam-3048	601	24	twice	twice	ADV
ejpam-3048	601	25	differentiable	differentiable	ADJ
ejpam-3048	601	26	mt(r;g,1,ϕ)-preinvex	mt(r;g,1,ϕ)-preinvex	PRON
ejpam-3048	601	27	function	function	PROPN
ejpam-3048	601	28	f.	f.	PROPN
ejpam-3048	602	1	the	the	DET
ejpam-3048	602	2	details	detail	NOUN
ejpam-3048	602	3	are	be	AUX
ejpam-3048	602	4	left	leave	VERB
ejpam-3048	602	5	to	to	ADP
ejpam-3048	602	6	the	the	DET
ejpam-3048	602	7	interested	interested	ADJ
ejpam-3048	602	8	reader	reader	NOUN
ejpam-3048	602	9	.	.	PUNCT
ejpam-3048	603	1	5	5	X
ejpam-3048	603	2	.	.	X
ejpam-3048	603	3	conclusions	conclusion	NOUN
ejpam-3048	603	4	in	in	ADP
ejpam-3048	603	5	this	this	DET
ejpam-3048	603	6	paper	paper	NOUN
ejpam-3048	603	7	,	,	PUNCT
ejpam-3048	603	8	we	we	PRON
ejpam-3048	603	9	proved	prove	VERB
ejpam-3048	603	10	some	some	DET
ejpam-3048	603	11	new	new	ADJ
ejpam-3048	603	12	integral	integral	ADJ
ejpam-3048	603	13	inequalities	inequality	NOUN
ejpam-3048	603	14	for	for	ADP
ejpam-3048	603	15	the	the	DET
ejpam-3048	603	16	left	left	ADJ
ejpam-3048	603	17	-	-	PUNCT
ejpam-3048	603	18	hand	hand	NOUN
ejpam-3048	603	19	side	side	NOUN
ejpam-3048	603	20	of	of	ADP
ejpam-3048	603	21	gaussjacobi	gaussjacobi	NOUN
ejpam-3048	603	22	type	type	NOUN
ejpam-3048	603	23	quadrature	quadrature	NOUN
ejpam-3048	603	24	formula	formula	NOUN
ejpam-3048	603	25	involving	involve	VERB
ejpam-3048	603	26	mt(r;g	mt(r;g	PROPN
ejpam-3048	603	27	,	,	PUNCT
ejpam-3048	603	28	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	603	29	functions	function	NOUN
ejpam-3048	603	30	.	.	PUNCT
ejpam-3048	604	1	also	also	ADV
ejpam-3048	604	2	,	,	PUNCT
ejpam-3048	604	3	we	we	PRON
ejpam-3048	604	4	established	establish	VERB
ejpam-3048	604	5	some	some	DET
ejpam-3048	604	6	new	new	ADJ
ejpam-3048	604	7	hermite	hermite	ADJ
ejpam-3048	604	8	-	-	PUNCT
ejpam-3048	604	9	hadamard	hadamard	ADJ
ejpam-3048	604	10	type	type	NOUN
ejpam-3048	604	11	integral	integral	ADJ
ejpam-3048	604	12	inequalities	inequality	NOUN
ejpam-3048	604	13	for	for	ADP
ejpam-3048	604	14	mt(r;g	mt(r;g	PROPN
ejpam-3048	604	15	,	,	PUNCT
ejpam-3048	604	16	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	604	17	functions	function	NOUN
ejpam-3048	604	18	via	via	ADP
ejpam-3048	604	19	conformable	conformable	ADJ
ejpam-3048	604	20	fractional	fractional	ADJ
ejpam-3048	604	21	integrals	integral	NOUN
ejpam-3048	604	22	.	.	PUNCT
ejpam-3048	605	1	these	these	DET
ejpam-3048	605	2	general	general	ADJ
ejpam-3048	605	3	inequalities	inequality	NOUN
ejpam-3048	605	4	give	give	VERB
ejpam-3048	605	5	us	we	PRON
ejpam-3048	605	6	some	some	DET
ejpam-3048	605	7	new	new	ADJ
ejpam-3048	605	8	estimates	estimate	NOUN
ejpam-3048	605	9	for	for	ADP
ejpam-3048	605	10	hermite	hermite	ADJ
ejpam-3048	605	11	-	-	PUNCT
ejpam-3048	605	12	hadamard	hadamard	ADJ
ejpam-3048	605	13	type	type	NOUN
ejpam-3048	605	14	conformable	conformable	ADJ
ejpam-3048	605	15	fractional	fractional	ADJ
ejpam-3048	605	16	integral	integral	ADJ
ejpam-3048	605	17	and	and	CCONJ
ejpam-3048	605	18	fractional	fractional	ADJ
ejpam-3048	605	19	integral	integral	ADJ
ejpam-3048	605	20	inequalities	inequality	NOUN
ejpam-3048	605	21	.	.	PUNCT
ejpam-3048	606	1	motivated	motivate	VERB
ejpam-3048	606	2	by	by	ADP
ejpam-3048	606	3	this	this	DET
ejpam-3048	606	4	new	new	ADJ
ejpam-3048	606	5	interesting	interesting	ADJ
ejpam-3048	606	6	class	class	NOUN
ejpam-3048	606	7	of	of	ADP
ejpam-3048	606	8	mt(r;g	mt(r;g	PROPN
ejpam-3048	606	9	,	,	PUNCT
ejpam-3048	606	10	m,ϕ)-preinvex	m,ϕ)-preinvex	NUM
ejpam-3048	606	11	functions	function	NOUN
ejpam-3048	606	12	we	we	PRON
ejpam-3048	606	13	can	can	AUX
ejpam-3048	606	14	indeed	indeed	ADV
ejpam-3048	606	15	see	see	VERB
ejpam-3048	606	16	to	to	PART
ejpam-3048	606	17	be	be	AUX
ejpam-3048	606	18	vital	vital	ADJ
ejpam-3048	606	19	for	for	ADP
ejpam-3048	606	20	fellow	fellow	ADJ
ejpam-3048	606	21	researchers	researcher	NOUN
ejpam-3048	606	22	and	and	CCONJ
ejpam-3048	606	23	scientists	scientist	NOUN
ejpam-3048	606	24	working	work	VERB
ejpam-3048	606	25	in	in	ADP
ejpam-3048	606	26	the	the	DET
ejpam-3048	606	27	same	same	ADJ
ejpam-3048	606	28	domain	domain	NOUN
ejpam-3048	606	29	.	.	PUNCT
ejpam-3048	607	1	we	we	PRON
ejpam-3048	607	2	conclude	conclude	VERB
ejpam-3048	607	3	that	that	SCONJ
ejpam-3048	607	4	our	our	PRON
ejpam-3048	607	5	methods	method	NOUN
ejpam-3048	607	6	considered	consider	VERB
ejpam-3048	607	7	here	here	ADV
ejpam-3048	607	8	may	may	AUX
ejpam-3048	607	9	be	be	AUX
ejpam-3048	607	10	a	a	DET
ejpam-3048	607	11	stimulant	stimulant	NOUN
ejpam-3048	607	12	for	for	ADP
ejpam-3048	607	13	further	further	ADJ
ejpam-3048	607	14	investigations	investigation	NOUN
ejpam-3048	607	15	concerning	concern	VERB
ejpam-3048	607	16	hermite	hermite	PROPN
ejpam-3048	607	17	-	-	PUNCT
ejpam-3048	607	18	hadamard	hadamard	ADJ
ejpam-3048	607	19	type	type	NOUN
ejpam-3048	607	20	integral	integral	ADJ
ejpam-3048	607	21	inequalities	inequality	NOUN
ejpam-3048	607	22	for	for	ADP
ejpam-3048	607	23	various	various	ADJ
ejpam-3048	607	24	kinds	kind	NOUN
ejpam-3048	607	25	of	of	ADP
ejpam-3048	607	26	preinvex	preinvex	NOUN
ejpam-3048	607	27	functions	function	NOUN
ejpam-3048	607	28	involving	involve	VERB
ejpam-3048	607	29	classical	classical	ADJ
ejpam-3048	607	30	integrals	integral	NOUN
ejpam-3048	607	31	,	,	PUNCT
ejpam-3048	607	32	riemann	riemann	PROPN
ejpam-3048	607	33	-	-	PUNCT
ejpam-3048	607	34	liouville	liouville	VERB
ejpam-3048	607	35	fractional	fractional	ADJ
ejpam-3048	607	36	integrals	integral	NOUN
ejpam-3048	607	37	,	,	PUNCT
ejpam-3048	607	38	k	k	ADJ
ejpam-3048	607	39	-	-	PUNCT
ejpam-3048	607	40	fractional	fractional	ADJ
ejpam-3048	607	41	integrals	integral	NOUN
ejpam-3048	607	42	,	,	PUNCT
ejpam-3048	607	43	local	local	ADJ
ejpam-3048	607	44	fractional	fractional	ADJ
ejpam-3048	607	45	integrals	integral	NOUN
ejpam-3048	607	46	,	,	PUNCT
ejpam-3048	607	47	fractional	fractional	ADJ
ejpam-3048	607	48	integral	integral	ADJ
ejpam-3048	607	49	operators	operator	NOUN
ejpam-3048	607	50	,	,	PUNCT
ejpam-3048	607	51	q	q	NOUN
ejpam-3048	607	52	-	-	NOUN
ejpam-3048	607	53	calculus	calculus	NOUN
ejpam-3048	607	54	,	,	PUNCT
ejpam-3048	607	55	(	(	PUNCT
ejpam-3048	607	56	p	p	X
ejpam-3048	607	57	,	,	PUNCT
ejpam-3048	607	58	q)-calculus	q)-calculus	PUNCT
ejpam-3048	607	59	,	,	PUNCT
ejpam-3048	607	60	time	time	NOUN
ejpam-3048	607	61	scale	scale	NOUN
ejpam-3048	607	62	calculus	calculus	NOUN
ejpam-3048	607	63	and	and	CCONJ
ejpam-3048	607	64	conformable	conformable	ADJ
ejpam-3048	607	65	fractional	fractional	ADJ
ejpam-3048	607	66	integrals	integral	NOUN
ejpam-3048	607	67	.	.	PUNCT
ejpam-3048	608	1	acknowledgements	acknowledgement	NOUN
ejpam-3048	608	2	we	we	PRON
ejpam-3048	608	3	would	would	AUX
ejpam-3048	608	4	like	like	VERB
ejpam-3048	608	5	to	to	PART
ejpam-3048	608	6	thank	thank	VERB
ejpam-3048	608	7	the	the	DET
ejpam-3048	608	8	anonymous	anonymous	ADJ
ejpam-3048	608	9	referees	referee	NOUN
ejpam-3048	608	10	for	for	ADP
ejpam-3048	608	11	the	the	DET
ejpam-3048	608	12	useful	useful	ADJ
ejpam-3048	608	13	comments	comment	NOUN
ejpam-3048	608	14	and	and	CCONJ
ejpam-3048	608	15	suggestions	suggestion	NOUN
ejpam-3048	608	16	.	.	PUNCT
ejpam-3048	609	1	references	reference	NOUN
ejpam-3048	609	2	[	[	X
ejpam-3048	609	3	1	1	NUM
ejpam-3048	609	4	]	]	PUNCT
ejpam-3048	609	5	m.	m.	NOUN
ejpam-3048	609	6	adil	adil	PROPN
ejpam-3048	609	7	khan	khan	PROPN
ejpam-3048	609	8	,	,	PUNCT
ejpam-3048	609	9	t.	t.	PROPN
ejpam-3048	609	10	ali	ali	PROPN
ejpam-3048	609	11	,	,	PUNCT
ejpam-3048	609	12	s.	s.	PROPN
ejpam-3048	609	13	s.	s.	PROPN
ejpam-3048	609	14	dragomir	dragomir	PROPN
ejpam-3048	609	15	,	,	PUNCT
ejpam-3048	609	16	m.	m.	NOUN
ejpam-3048	609	17	z.	z.	PROPN
ejpam-3048	609	18	sarikaya	sarikaya	PROPN
ejpam-3048	609	19	,	,	PUNCT
ejpam-3048	609	20	hermite	hermite	PROPN
ejpam-3048	609	21	-	-	PUNCT
ejpam-3048	609	22	hadamard	hadamard	ADJ
ejpam-3048	609	23	type	type	NOUN
ejpam-3048	609	24	inequalities	inequality	NOUN
ejpam-3048	609	25	for	for	ADP
ejpam-3048	609	26	conformable	conformable	ADJ
ejpam-3048	609	27	fractional	fractional	ADJ
ejpam-3048	609	28	integrals	integral	NOUN
ejpam-3048	609	29	,	,	PUNCT
ejpam-3048	609	30	revista	revista	X
ejpam-3048	609	31	de	de	X
ejpam-3048	609	32	la	la	PROPN
ejpam-3048	609	33	real	real	PROPN
ejpam-3048	609	34	academia	academia	PROPN
ejpam-3048	609	35	de	de	PROPN
ejpam-3048	609	36	ciencias	ciencias	PROPN
ejpam-3048	609	37	exactas	exacta	NOUN
ejpam-3048	609	38	,	,	PUNCT
ejpam-3048	609	39	fsicas	fsicas	PROPN
ejpam-3048	609	40	y	y	PROPN
ejpam-3048	609	41	naturales	naturales	PROPN
ejpam-3048	609	42	.	.	PUNCT
ejpam-3048	610	1	serie	serie	PROPN
ejpam-3048	610	2	a.	a.	PROPN
ejpam-3048	610	3	matemàticas	matemàticas	PROPN
ejpam-3048	610	4	,	,	PUNCT
ejpam-3048	610	5	(	(	PUNCT
ejpam-3048	610	6	2017	2017	NUM
ejpam-3048	610	7	)	)	PUNCT
ejpam-3048	610	8	.	.	PUNCT
ejpam-3048	611	1	doi:10.1007	doi:10.1007	VERB
ejpam-3048	611	2	/	/	SYM
ejpam-3048	611	3	s13398017	s13398017	ADP
ejpam-3048	611	4	-	-	PUNCT
ejpam-3048	611	5	0408	0408	NUM
ejpam-3048	611	6	-	-	SYM
ejpam-3048	611	7	5	5	NUM
ejpam-3048	611	8	.	.	PUNCT
ejpam-3048	611	9	references	reference	NOUN
ejpam-3048	611	10	832	832	NUM
ejpam-3048	611	11	[	[	SYM
ejpam-3048	611	12	2	2	NUM
ejpam-3048	611	13	]	]	X
ejpam-3048	611	14	yu	yu	PROPN
ejpam-3048	611	15	-	-	PROPN
ejpam-3048	611	16	ming	ming	PROPN
ejpam-3048	611	17	chu	chu	PROPN
ejpam-3048	611	18	,	,	PUNCT
ejpam-3048	611	19	m.	m.	PROPN
ejpam-3048	611	20	adil	adil	PROPN
ejpam-3048	611	21	khan	khan	PROPN
ejpam-3048	611	22	,	,	PUNCT
ejpam-3048	611	23	t.	t.	PROPN
ejpam-3048	611	24	ali	ali	PROPN
ejpam-3048	611	25	,	,	PUNCT
ejpam-3048	611	26	s.	s.	PROPN
ejpam-3048	611	27	s.	s.	PROPN
ejpam-3048	611	28	dragomir	dragomir	PROPN
ejpam-3048	611	29	,	,	PUNCT
ejpam-3048	611	30	inequalities	inequality	NOUN
ejpam-3048	611	31	for	for	ADP
ejpam-3048	611	32	α	α	NOUN
ejpam-3048	611	33	-	-	PUNCT
ejpam-3048	611	34	fractional	fractional	ADJ
ejpam-3048	611	35	differentiable	differentiable	ADJ
ejpam-3048	611	36	functions	function	NOUN
ejpam-3048	611	37	,	,	PUNCT
ejpam-3048	611	38	journal	journal	NOUN
ejpam-3048	611	39	of	of	ADP
ejpam-3048	611	40	inequalities	inequality	NOUN
ejpam-3048	611	41	and	and	CCONJ
ejpam-3048	611	42	applications	application	NOUN
ejpam-3048	611	43	,	,	PUNCT
ejpam-3048	611	44	(	(	PUNCT
ejpam-3048	611	45	2017	2017	NUM
ejpam-3048	611	46	)	)	PUNCT
ejpam-3048	611	47	2017	2017	NUM
ejpam-3048	611	48	:	:	PUNCT
ejpam-3048	611	49	93	93	NUM
ejpam-3048	611	50	,	,	PUNCT
ejpam-3048	611	51	12	12	NUM
ejpam-3048	611	52	pages	page	NOUN
ejpam-3048	611	53	.	.	PUNCT
ejpam-3048	612	1	[	[	X
ejpam-3048	612	2	3	3	X
ejpam-3048	612	3	]	]	PUNCT
ejpam-3048	612	4	t.	t.	PROPN
ejpam-3048	612	5	s.	s.	PROPN
ejpam-3048	612	6	du	du	PROPN
ejpam-3048	612	7	,	,	PUNCT
ejpam-3048	612	8	j.	j.	PROPN
ejpam-3048	612	9	g.	g.	PROPN
ejpam-3048	612	10	liao	liao	PROPN
ejpam-3048	612	11	,	,	PUNCT
ejpam-3048	612	12	y.	y.	PROPN
ejpam-3048	612	13	j.	j.	PROPN
ejpam-3048	612	14	li	li	PROPN
ejpam-3048	612	15	,	,	PUNCT
ejpam-3048	612	16	properties	property	NOUN
ejpam-3048	612	17	and	and	CCONJ
ejpam-3048	612	18	integral	integral	ADJ
ejpam-3048	612	19	inequalities	inequality	NOUN
ejpam-3048	612	20	of	of	ADP
ejpam-3048	612	21	hadamardsimpson	hadamardsimpson	PROPN
ejpam-3048	612	22	type	type	NOUN
ejpam-3048	612	23	for	for	ADP
ejpam-3048	612	24	the	the	DET
ejpam-3048	612	25	generalized	generalized	ADJ
ejpam-3048	612	26	(	(	PUNCT
ejpam-3048	612	27	s	s	X
ejpam-3048	612	28	,	,	PUNCT
ejpam-3048	612	29	m)-preinvex	m)-preinvex	NOUN
ejpam-3048	612	30	functions	function	NOUN
ejpam-3048	612	31	,	,	PUNCT
ejpam-3048	612	32	j.	j.	PROPN
ejpam-3048	612	33	nonlinear	nonlinear	PROPN
ejpam-3048	612	34	sci	sci	PROPN
ejpam-3048	612	35	.	.	PUNCT
ejpam-3048	612	36	appl	appl	PROPN
ejpam-3048	612	37	.	.	PROPN
ejpam-3048	612	38	,	,	PUNCT
ejpam-3048	612	39	9	9	NUM
ejpam-3048	612	40	,	,	PUNCT
ejpam-3048	612	41	(	(	PUNCT
ejpam-3048	612	42	2016	2016	NUM
ejpam-3048	612	43	)	)	PUNCT
ejpam-3048	612	44	,	,	PUNCT
ejpam-3048	612	45	3112	3112	NUM
ejpam-3048	612	46	-	-	SYM
ejpam-3048	612	47	3126	3126	NUM
ejpam-3048	612	48	.	.	PUNCT
ejpam-3048	613	1	[	[	X
ejpam-3048	613	2	4	4	X
ejpam-3048	613	3	]	]	PUNCT
ejpam-3048	613	4	s.	s.	PROPN
ejpam-3048	613	5	s.	s.	PROPN
ejpam-3048	613	6	dragomir	dragomir	PROPN
ejpam-3048	613	7	,	,	PUNCT
ejpam-3048	613	8	j.	j.	PROPN
ejpam-3048	613	9	pečarić	pečarić	PROPN
ejpam-3048	613	10	,	,	PUNCT
ejpam-3048	613	11	l.	l.	PROPN
ejpam-3048	613	12	e.	e.	PROPN
ejpam-3048	613	13	persson	persson	PROPN
ejpam-3048	613	14	,	,	PUNCT
ejpam-3048	613	15	some	some	DET
ejpam-3048	613	16	inequalities	inequality	NOUN
ejpam-3048	613	17	of	of	ADP
ejpam-3048	613	18	hadamard	hadamard	ADJ
ejpam-3048	613	19	type	type	NOUN
ejpam-3048	613	20	soochow	soochow	PROPN
ejpam-3048	613	21	j.	j.	PROPN
ejpam-3048	613	22	math	math	PROPN
ejpam-3048	613	23	.	.	PROPN
ejpam-3048	613	24	,	,	PUNCT
ejpam-3048	613	25	21	21	NUM
ejpam-3048	613	26	,	,	PUNCT
ejpam-3048	613	27	(	(	PUNCT
ejpam-3048	613	28	1995	1995	NUM
ejpam-3048	613	29	)	)	PUNCT
ejpam-3048	613	30	,	,	PUNCT
ejpam-3048	613	31	335	335	NUM
ejpam-3048	613	32	-	-	SYM
ejpam-3048	613	33	341	341	NUM
ejpam-3048	613	34	.	.	PUNCT
ejpam-3048	614	1	[	[	X
ejpam-3048	614	2	5	5	NUM
ejpam-3048	614	3	]	]	PUNCT
ejpam-3048	614	4	r.	r.	PROPN
ejpam-3048	614	5	khalil	khalil	PROPN
ejpam-3048	614	6	,	,	PUNCT
ejpam-3048	614	7	m.	m.	PROPN
ejpam-3048	614	8	al	al	PROPN
ejpam-3048	614	9	horani	horani	PROPN
ejpam-3048	614	10	,	,	PUNCT
ejpam-3048	614	11	a.	a.	PROPN
ejpam-3048	614	12	yousef	yousef	PROPN
ejpam-3048	614	13	,	,	PUNCT
ejpam-3048	614	14	m.	m.	NOUN
ejpam-3048	614	15	sababheh	sababheh	PROPN
ejpam-3048	614	16	,	,	PUNCT
ejpam-3048	614	17	a	a	DET
ejpam-3048	614	18	new	new	ADJ
ejpam-3048	614	19	definition	definition	NOUN
ejpam-3048	614	20	of	of	ADP
ejpam-3048	614	21	fractional	fractional	ADJ
ejpam-3048	614	22	derivative	derivative	NOUN
ejpam-3048	614	23	,	,	PUNCT
ejpam-3048	614	24	j.	j.	PROPN
ejpam-3048	614	25	comput	comput	PROPN
ejpam-3048	614	26	.	.	PUNCT
ejpam-3048	615	1	appl	appl	PROPN
ejpam-3048	615	2	.	.	PROPN
ejpam-3048	615	3	math	math	PROPN
ejpam-3048	615	4	.	.	PUNCT
ejpam-3048	616	1	,	,	PUNCT
ejpam-3048	616	2	264	264	NUM
ejpam-3048	616	3	,	,	PUNCT
ejpam-3048	616	4	(	(	PUNCT
ejpam-3048	616	5	2014	2014	NUM
ejpam-3048	616	6	)	)	PUNCT
ejpam-3048	616	7	,	,	PUNCT
ejpam-3048	616	8	65	65	NUM
ejpam-3048	616	9	-	-	SYM
ejpam-3048	616	10	70	70	NUM
ejpam-3048	616	11	.	.	PUNCT
ejpam-3048	617	1	[	[	X
ejpam-3048	617	2	6	6	NUM
ejpam-3048	617	3	]	]	PUNCT
ejpam-3048	617	4	t.	t.	NOUN
ejpam-3048	617	5	abdeljawad	abdeljawad	NOUN
ejpam-3048	617	6	,	,	PUNCT
ejpam-3048	617	7	on	on	ADP
ejpam-3048	617	8	conformable	conformable	ADJ
ejpam-3048	617	9	fractional	fractional	ADJ
ejpam-3048	617	10	calculus	calculus	NOUN
ejpam-3048	617	11	,	,	PUNCT
ejpam-3048	617	12	j.	j.	PROPN
ejpam-3048	617	13	comput	comput	PROPN
ejpam-3048	617	14	.	.	PUNCT
ejpam-3048	618	1	appl	appl	PROPN
ejpam-3048	618	2	.	.	PROPN
ejpam-3048	618	3	math	math	PROPN
ejpam-3048	618	4	.	.	PUNCT
ejpam-3048	618	5	,	,	PUNCT
ejpam-3048	618	6	279	279	NUM
ejpam-3048	618	7	,	,	PUNCT
ejpam-3048	618	8	(	(	PUNCT
ejpam-3048	618	9	2015	2015	NUM
ejpam-3048	618	10	)	)	PUNCT
ejpam-3048	618	11	,	,	PUNCT
ejpam-3048	618	12	57	57	NUM
ejpam-3048	618	13	-	-	SYM
ejpam-3048	618	14	66	66	NUM
ejpam-3048	618	15	.	.	PUNCT
ejpam-3048	619	1	[	[	X
ejpam-3048	619	2	7	7	X
ejpam-3048	619	3	]	]	X
ejpam-3048	619	4	e.	e.	PROPN
ejpam-3048	619	5	set	set	PROPN
ejpam-3048	619	6	,	,	PUNCT
ejpam-3048	619	7	a.	a.	PROPN
ejpam-3048	619	8	gözpinar	gözpinar	PROPN
ejpam-3048	619	9	,	,	PUNCT
ejpam-3048	619	10	a	a	DET
ejpam-3048	619	11	study	study	NOUN
ejpam-3048	619	12	on	on	ADP
ejpam-3048	619	13	hermite	hermite	ADJ
ejpam-3048	619	14	-	-	PUNCT
ejpam-3048	619	15	hadamard	hadamard	ADJ
ejpam-3048	619	16	type	type	NOUN
ejpam-3048	619	17	inequalities	inequality	NOUN
ejpam-3048	619	18	for	for	ADP
ejpam-3048	619	19	s	s	NOUN
ejpam-3048	619	20	-	-	PUNCT
ejpam-3048	619	21	convex	convex	ADJ
ejpam-3048	619	22	functions	function	NOUN
ejpam-3048	619	23	via	via	ADP
ejpam-3048	619	24	conformable	conformable	ADJ
ejpam-3048	619	25	fractional	fractional	ADJ
ejpam-3048	619	26	integrals	integral	NOUN
ejpam-3048	619	27	,	,	PUNCT
ejpam-3048	619	28	submitted	submit	VERB
ejpam-3048	619	29	.	.	PUNCT
ejpam-3048	620	1	[	[	X
ejpam-3048	620	2	8	8	NUM
ejpam-3048	620	3	]	]	X
ejpam-3048	620	4	e.	e.	PROPN
ejpam-3048	620	5	set	set	PROPN
ejpam-3048	620	6	,	,	PUNCT
ejpam-3048	620	7	a.	a.	PROPN
ejpam-3048	620	8	o.	o.	PROPN
ejpam-3048	620	9	akdemir	akdemir	PROPN
ejpam-3048	620	10	,	,	PUNCT
ejpam-3048	620	11	i.	i.	PROPN
ejpam-3048	620	12	mumcu	mumcu	PROPN
ejpam-3048	620	13	,	,	PUNCT
ejpam-3048	620	14	ostrowski	ostrowski	ADJ
ejpam-3048	620	15	type	type	NOUN
ejpam-3048	620	16	inequalities	inequality	NOUN
ejpam-3048	620	17	for	for	ADP
ejpam-3048	620	18	functions	function	NOUN
ejpam-3048	620	19	whoose	whoose	NOUN
ejpam-3048	620	20	derivatives	derivative	NOUN
ejpam-3048	620	21	are	be	AUX
ejpam-3048	620	22	convex	convex	ADJ
ejpam-3048	620	23	via	via	ADP
ejpam-3048	620	24	conformable	conformable	ADJ
ejpam-3048	620	25	fractional	fractional	ADJ
ejpam-3048	620	26	integrals	integral	NOUN
ejpam-3048	620	27	,	,	PUNCT
ejpam-3048	620	28	submitted	submit	VERB
ejpam-3048	620	29	.	.	PUNCT
ejpam-3048	621	1	[	[	X
ejpam-3048	621	2	9	9	NUM
ejpam-3048	621	3	]	]	PUNCT
ejpam-3048	621	4	e.	e.	PROPN
ejpam-3048	621	5	set	set	PROPN
ejpam-3048	621	6	,	,	PUNCT
ejpam-3048	621	7	a.	a.	PROPN
ejpam-3048	621	8	o.	o.	PROPN
ejpam-3048	621	9	akdemir	akdemir	PROPN
ejpam-3048	621	10	,	,	PUNCT
ejpam-3048	621	11	i.	i.	PROPN
ejpam-3048	621	12	mumcu	mumcu	PROPN
ejpam-3048	621	13	,	,	PUNCT
ejpam-3048	621	14	chebyshev	chebyshev	NOUN
ejpam-3048	621	15	type	type	NOUN
ejpam-3048	621	16	inequalities	inequality	NOUN
ejpam-3048	621	17	for	for	ADP
ejpam-3048	621	18	conformable	conformable	ADJ
ejpam-3048	621	19	fractional	fractional	ADJ
ejpam-3048	621	20	integrals	integral	NOUN
ejpam-3048	621	21	,	,	PUNCT
ejpam-3048	621	22	submitted	submit	VERB
ejpam-3048	621	23	.	.	PUNCT
ejpam-3048	622	1	[	[	X
ejpam-3048	622	2	10	10	NUM
ejpam-3048	622	3	]	]	X
ejpam-3048	622	4	e.	e.	PROPN
ejpam-3048	622	5	set	set	PROPN
ejpam-3048	622	6	,	,	PUNCT
ejpam-3048	622	7	m.	m.	NOUN
ejpam-3048	622	8	z.	z.	PROPN
ejpam-3048	622	9	sarikaya	sarikaya	PROPN
ejpam-3048	622	10	,	,	PUNCT
ejpam-3048	622	11	a.	a.	PROPN
ejpam-3048	622	12	gözpinar	gözpinar	PROPN
ejpam-3048	622	13	,	,	PUNCT
ejpam-3048	622	14	some	some	DET
ejpam-3048	622	15	hermite	hermite	ADJ
ejpam-3048	622	16	-	-	PUNCT
ejpam-3048	622	17	hadamard	hadamard	ADJ
ejpam-3048	622	18	type	type	NOUN
ejpam-3048	622	19	inequalities	inequality	NOUN
ejpam-3048	622	20	for	for	ADP
ejpam-3048	622	21	convex	convex	NOUN
ejpam-3048	622	22	functions	function	NOUN
ejpam-3048	622	23	via	via	ADP
ejpam-3048	622	24	conformable	conformable	ADJ
ejpam-3048	622	25	fractional	fractional	ADJ
ejpam-3048	622	26	integrals	integral	NOUN
ejpam-3048	622	27	and	and	CCONJ
ejpam-3048	622	28	related	related	ADJ
ejpam-3048	622	29	inequalities	inequality	NOUN
ejpam-3048	622	30	,	,	PUNCT
ejpam-3048	622	31	creat	creat	PROPN
ejpam-3048	622	32	.	.	PUNCT
ejpam-3048	622	33	math	math	PROPN
ejpam-3048	622	34	.	.	PUNCT
ejpam-3048	623	1	inform	inform	NOUN
ejpam-3048	623	2	.	.	PUNCT
ejpam-3048	624	1	,	,	PUNCT
ejpam-3048	624	2	accepted	accept	VERB
ejpam-3048	624	3	paper	paper	NOUN
ejpam-3048	624	4	.	.	PUNCT
ejpam-3048	625	1	[	[	X
ejpam-3048	625	2	11	11	NUM
ejpam-3048	625	3	]	]	PUNCT
ejpam-3048	625	4	e.	e.	PROPN
ejpam-3048	625	5	set	set	PROPN
ejpam-3048	625	6	,	,	PUNCT
ejpam-3048	625	7	i.	i.	PROPN
ejpam-3048	625	8	mumcu	mumcu	PROPN
ejpam-3048	625	9	,	,	PUNCT
ejpam-3048	625	10	hermite	hermite	PROPN
ejpam-3048	625	11	-	-	PUNCT
ejpam-3048	625	12	hadamard	hadamard	ADV
ejpam-3048	625	13	-	-	PUNCT
ejpam-3048	625	14	fejer	fejer	ADJ
ejpam-3048	625	15	type	type	NOUN
ejpam-3048	625	16	inequalies	inequalie	NOUN
ejpam-3048	625	17	for	for	ADP
ejpam-3048	625	18	conformable	conformable	ADJ
ejpam-3048	625	19	fractional	fractional	ADJ
ejpam-3048	625	20	integrals	integral	NOUN
ejpam-3048	625	21	,	,	PUNCT
ejpam-3048	625	22	submitted	submit	VERB
ejpam-3048	625	23	.	.	PUNCT
ejpam-3048	626	1	[	[	X
ejpam-3048	626	2	12	12	NUM
ejpam-3048	626	3	]	]	X
ejpam-3048	626	4	b.	b.	PROPN
ejpam-3048	626	5	g.	g.	PROPN
ejpam-3048	626	6	pachpatte	pachpatte	PROPN
ejpam-3048	626	7	,	,	PUNCT
ejpam-3048	626	8	on	on	ADP
ejpam-3048	626	9	some	some	DET
ejpam-3048	626	10	inequalities	inequality	NOUN
ejpam-3048	626	11	for	for	ADP
ejpam-3048	626	12	convex	convex	NOUN
ejpam-3048	626	13	functions	function	NOUN
ejpam-3048	626	14	,	,	PUNCT
ejpam-3048	626	15	rgmia	rgmia	NOUN
ejpam-3048	626	16	res	re	NOUN
ejpam-3048	626	17	.	.	PUNCT
ejpam-3048	626	18	rep	rep	PROPN
ejpam-3048	626	19	.	.	PROPN
ejpam-3048	626	20	coll	coll	PROPN
ejpam-3048	626	21	.	.	PROPN
ejpam-3048	626	22	,	,	PUNCT
ejpam-3048	626	23	6	6	NUM
ejpam-3048	626	24	,	,	PUNCT
ejpam-3048	626	25	(	(	PUNCT
ejpam-3048	626	26	2003	2003	NUM
ejpam-3048	626	27	)	)	PUNCT
ejpam-3048	626	28	.	.	PUNCT
ejpam-3048	627	1	[	[	X
ejpam-3048	627	2	13	13	NUM
ejpam-3048	627	3	]	]	X
ejpam-3048	627	4	f.	f.	PROPN
ejpam-3048	627	5	chen	chen	PROPN
ejpam-3048	627	6	,	,	PUNCT
ejpam-3048	627	7	a	a	DET
ejpam-3048	627	8	note	note	NOUN
ejpam-3048	627	9	on	on	ADP
ejpam-3048	627	10	hermite	hermite	ADJ
ejpam-3048	627	11	-	-	PUNCT
ejpam-3048	627	12	hadamard	hadamard	ADJ
ejpam-3048	627	13	inequalities	inequality	NOUN
ejpam-3048	627	14	for	for	ADP
ejpam-3048	627	15	products	product	NOUN
ejpam-3048	627	16	of	of	ADP
ejpam-3048	627	17	convex	convex	NOUN
ejpam-3048	627	18	functions	function	NOUN
ejpam-3048	627	19	via	via	ADP
ejpam-3048	627	20	riemann	riemann	PROPN
ejpam-3048	627	21	-	-	PUNCT
ejpam-3048	627	22	liouville	liouville	VERB
ejpam-3048	627	23	fractional	fractional	ADJ
ejpam-3048	627	24	integrals	integral	NOUN
ejpam-3048	627	25	,	,	PUNCT
ejpam-3048	627	26	ital	ital	PROPN
ejpam-3048	627	27	.	.	PUNCT
ejpam-3048	628	1	j.	j.	PROPN
ejpam-3048	628	2	pure	pure	PROPN
ejpam-3048	628	3	appl	appl	PROPN
ejpam-3048	628	4	.	.	PUNCT
ejpam-3048	628	5	math	math	PROPN
ejpam-3048	628	6	.	.	PUNCT
ejpam-3048	628	7	,	,	PUNCT
ejpam-3048	628	8	33	33	NUM
ejpam-3048	628	9	,	,	PUNCT
ejpam-3048	628	10	(	(	PUNCT
ejpam-3048	628	11	2014	2014	NUM
ejpam-3048	628	12	)	)	PUNCT
ejpam-3048	628	13	,	,	PUNCT
ejpam-3048	628	14	299	299	NUM
ejpam-3048	628	15	-	-	SYM
ejpam-3048	628	16	306	306	NUM
ejpam-3048	628	17	.	.	PUNCT
ejpam-3048	629	1	[	[	X
ejpam-3048	629	2	14	14	NUM
ejpam-3048	629	3	]	]	PUNCT
ejpam-3048	629	4	t.	t.	PROPN
ejpam-3048	629	5	antczak	antczak	PROPN
ejpam-3048	629	6	,	,	PUNCT
ejpam-3048	629	7	mean	mean	ADJ
ejpam-3048	629	8	value	value	NOUN
ejpam-3048	629	9	in	in	ADP
ejpam-3048	629	10	invexity	invexity	NOUN
ejpam-3048	629	11	analysis	analysis	NOUN
ejpam-3048	629	12	,	,	PUNCT
ejpam-3048	629	13	nonlinear	nonlinear	ADJ
ejpam-3048	629	14	anal	anal	NOUN
ejpam-3048	629	15	.	.	PUNCT
ejpam-3048	629	16	,	,	PUNCT
ejpam-3048	629	17	60	60	NUM
ejpam-3048	629	18	,	,	PUNCT
ejpam-3048	629	19	(	(	PUNCT
ejpam-3048	629	20	2005	2005	NUM
ejpam-3048	629	21	)	)	PUNCT
ejpam-3048	629	22	,	,	PUNCT
ejpam-3048	629	23	1473	1473	NUM
ejpam-3048	629	24	-	-	SYM
ejpam-3048	629	25	1484	1484	NUM
ejpam-3048	629	26	.	.	PUNCT
ejpam-3048	630	1	[	[	X
ejpam-3048	630	2	15	15	NUM
ejpam-3048	630	3	]	]	X
ejpam-3048	630	4	f.	f.	PROPN
ejpam-3048	630	5	qi	qi	PROPN
ejpam-3048	630	6	,	,	PUNCT
ejpam-3048	630	7	b.	b.	PROPN
ejpam-3048	630	8	y.	y.	PROPN
ejpam-3048	630	9	xi	xi	PROPN
ejpam-3048	630	10	,	,	PUNCT
ejpam-3048	630	11	some	some	DET
ejpam-3048	630	12	integral	integral	ADJ
ejpam-3048	630	13	inequalities	inequality	NOUN
ejpam-3048	630	14	of	of	ADP
ejpam-3048	630	15	simpson	simpson	PROPN
ejpam-3048	630	16	type	type	PROPN
ejpam-3048	630	17	for	for	ADP
ejpam-3048	630	18	ga	ga	PROPN
ejpam-3048	630	19	−	−	PROPN
ejpam-3048	630	20	ε	ε	PROPN
ejpam-3048	630	21	-	-	PUNCT
ejpam-3048	630	22	convex	convex	NOUN
ejpam-3048	630	23	functions	function	NOUN
ejpam-3048	630	24	,	,	PUNCT
ejpam-3048	630	25	georgian	georgian	PROPN
ejpam-3048	630	26	math	math	NOUN
ejpam-3048	630	27	.	.	PUNCT
ejpam-3048	631	1	j.	j.	PROPN
ejpam-3048	631	2	,	,	PUNCT
ejpam-3048	631	3	20	20	NUM
ejpam-3048	631	4	,	,	PUNCT
ejpam-3048	631	5	(	(	PUNCT
ejpam-3048	631	6	5	5	NUM
ejpam-3048	631	7	)	)	PUNCT
ejpam-3048	631	8	(	(	PUNCT
ejpam-3048	631	9	2013	2013	NUM
ejpam-3048	631	10	)	)	PUNCT
ejpam-3048	631	11	,	,	PUNCT
ejpam-3048	631	12	775	775	NUM
ejpam-3048	631	13	-	-	SYM
ejpam-3048	631	14	788	788	NUM
ejpam-3048	631	15	.	.	PUNCT
ejpam-3048	632	1	[	[	X
ejpam-3048	632	2	16	16	NUM
ejpam-3048	632	3	]	]	PUNCT
ejpam-3048	632	4	x.	x.	NOUN
ejpam-3048	632	5	m.	m.	PROPN
ejpam-3048	632	6	yang	yang	PROPN
ejpam-3048	632	7	,	,	PUNCT
ejpam-3048	632	8	x.	x.	PROPN
ejpam-3048	632	9	q.	q.	PROPN
ejpam-3048	632	10	yang	yang	PROPN
ejpam-3048	632	11	,	,	PUNCT
ejpam-3048	632	12	k.	k.	PROPN
ejpam-3048	632	13	l.	l.	PROPN
ejpam-3048	632	14	teo	teo	PROPN
ejpam-3048	632	15	,	,	PUNCT
ejpam-3048	632	16	generalized	generalized	ADJ
ejpam-3048	632	17	invexity	invexity	NOUN
ejpam-3048	632	18	and	and	CCONJ
ejpam-3048	632	19	generalized	generalize	VERB
ejpam-3048	632	20	invariant	invariant	ADJ
ejpam-3048	632	21	monotonicity	monotonicity	NOUN
ejpam-3048	632	22	,	,	PUNCT
ejpam-3048	632	23	j.	j.	PROPN
ejpam-3048	632	24	optim	optim	PROPN
ejpam-3048	632	25	.	.	PUNCT
ejpam-3048	633	1	theory	theory	NOUN
ejpam-3048	633	2	appl	appl	PROPN
ejpam-3048	633	3	.	.	PROPN
ejpam-3048	633	4	,	,	PUNCT
ejpam-3048	633	5	117	117	NUM
ejpam-3048	633	6	,	,	PUNCT
ejpam-3048	633	7	(	(	PUNCT
ejpam-3048	633	8	2003	2003	NUM
ejpam-3048	633	9	)	)	PUNCT
ejpam-3048	633	10	,	,	PUNCT
ejpam-3048	633	11	607	607	NUM
ejpam-3048	633	12	-	-	SYM
ejpam-3048	633	13	625	625	NUM
ejpam-3048	633	14	.	.	PUNCT
ejpam-3048	634	1	references	reference	NOUN
ejpam-3048	634	2	833	833	NUM
ejpam-3048	635	1	[	[	X
ejpam-3048	635	2	17	17	NUM
ejpam-3048	635	3	]	]	X
ejpam-3048	635	4	r.	r.	PROPN
ejpam-3048	635	5	pini	pini	PROPN
ejpam-3048	635	6	,	,	PUNCT
ejpam-3048	635	7	invexity	invexity	NOUN
ejpam-3048	635	8	and	and	CCONJ
ejpam-3048	635	9	generalized	generalized	ADJ
ejpam-3048	635	10	convexity	convexity	NOUN
ejpam-3048	635	11	,	,	PUNCT
ejpam-3048	635	12	optimization	optimization	NOUN
ejpam-3048	635	13	,	,	PUNCT
ejpam-3048	635	14	22	22	NUM
ejpam-3048	635	15	,	,	PUNCT
ejpam-3048	635	16	(	(	PUNCT
ejpam-3048	635	17	1991	1991	NUM
ejpam-3048	635	18	)	)	PUNCT
ejpam-3048	635	19	,	,	PUNCT
ejpam-3048	635	20	513	513	NUM
ejpam-3048	635	21	-	-	SYM
ejpam-3048	635	22	525	525	NUM
ejpam-3048	635	23	.	.	PUNCT
ejpam-3048	636	1	[	[	X
ejpam-3048	636	2	18	18	NUM
ejpam-3048	636	3	]	]	X
ejpam-3048	636	4	h.	h.	PROPN
ejpam-3048	636	5	kavurmaci	kavurmaci	PROPN
ejpam-3048	636	6	,	,	PUNCT
ejpam-3048	636	7	m.	m.	NOUN
ejpam-3048	636	8	avci	avci	PROPN
ejpam-3048	636	9	,	,	PUNCT
ejpam-3048	636	10	m.	m.	PROPN
ejpam-3048	636	11	e.	e.	PROPN
ejpam-3048	636	12	özdemir	özdemir	PROPN
ejpam-3048	636	13	,	,	PUNCT
ejpam-3048	636	14	new	new	ADJ
ejpam-3048	636	15	inequalities	inequality	NOUN
ejpam-3048	636	16	of	of	ADP
ejpam-3048	636	17	hermite	hermite	ADJ
ejpam-3048	636	18	-	-	PUNCT
ejpam-3048	636	19	hadamard	hadamard	ADJ
ejpam-3048	636	20	type	type	NOUN
ejpam-3048	636	21	for	for	ADP
ejpam-3048	636	22	convex	convex	NOUN
ejpam-3048	636	23	functions	function	NOUN
ejpam-3048	636	24	with	with	ADP
ejpam-3048	636	25	applications	application	NOUN
ejpam-3048	636	26	,	,	PUNCT
ejpam-3048	636	27	arxiv:1006.1593v1	arxiv:1006.1593v1	NOUN
ejpam-3048	637	1	[	[	X
ejpam-3048	637	2	math	math	NOUN
ejpam-3048	637	3	.	.	PUNCT
ejpam-3048	638	1	ca	can	AUX
ejpam-3048	638	2	]	]	X
ejpam-3048	638	3	,	,	PUNCT
ejpam-3048	638	4	(	(	PUNCT
ejpam-3048	638	5	2010	2010	NUM
ejpam-3048	638	6	)	)	PUNCT
ejpam-3048	638	7	,	,	PUNCT
ejpam-3048	638	8	1	1	NUM
ejpam-3048	638	9	-	-	SYM
ejpam-3048	638	10	10	10	NUM
ejpam-3048	638	11	.	.	PUNCT
ejpam-3048	639	1	[	[	X
ejpam-3048	639	2	19	19	NUM
ejpam-3048	639	3	]	]	X
ejpam-3048	639	4	w.	w.	PROPN
ejpam-3048	639	5	liu	liu	PROPN
ejpam-3048	639	6	,	,	PUNCT
ejpam-3048	639	7	w.	w.	PROPN
ejpam-3048	639	8	wen	wen	PROPN
ejpam-3048	639	9	,	,	PUNCT
ejpam-3048	639	10	j.	j.	PROPN
ejpam-3048	639	11	park	park	PROPN
ejpam-3048	639	12	,	,	PUNCT
ejpam-3048	639	13	hermite	hermite	PROPN
ejpam-3048	639	14	-	-	PUNCT
ejpam-3048	639	15	hadamard	hadamard	ADJ
ejpam-3048	639	16	type	type	NOUN
ejpam-3048	639	17	inequalities	inequality	NOUN
ejpam-3048	639	18	for	for	ADP
ejpam-3048	639	19	mt	mt	NOUN
ejpam-3048	639	20	-	-	PUNCT
ejpam-3048	639	21	convex	convex	NOUN
ejpam-3048	639	22	functions	function	NOUN
ejpam-3048	639	23	via	via	ADP
ejpam-3048	639	24	classical	classical	ADJ
ejpam-3048	639	25	integrals	integral	NOUN
ejpam-3048	639	26	and	and	CCONJ
ejpam-3048	639	27	fractional	fractional	ADJ
ejpam-3048	639	28	integrals	integral	NOUN
ejpam-3048	639	29	,	,	PUNCT
ejpam-3048	639	30	j.	j.	PROPN
ejpam-3048	639	31	nonlinear	nonlinear	PROPN
ejpam-3048	639	32	sci	sci	PROPN
ejpam-3048	639	33	.	.	PUNCT
ejpam-3048	639	34	appl	appl	PROPN
ejpam-3048	639	35	.	.	PROPN
ejpam-3048	639	36	,	,	PUNCT
ejpam-3048	639	37	9	9	NUM
ejpam-3048	639	38	,	,	PUNCT
ejpam-3048	639	39	(	(	PUNCT
ejpam-3048	639	40	2016	2016	NUM
ejpam-3048	639	41	)	)	PUNCT
ejpam-3048	639	42	,	,	PUNCT
ejpam-3048	639	43	766	766	NUM
ejpam-3048	639	44	-	-	SYM
ejpam-3048	639	45	777	777	NUM
ejpam-3048	639	46	.	.	PUNCT
ejpam-3048	640	1	[	[	X
ejpam-3048	640	2	20	20	NUM
ejpam-3048	640	3	]	]	X
ejpam-3048	640	4	y.	y.	PROPN
ejpam-3048	640	5	m.	m.	PROPN
ejpam-3048	640	6	chu	chu	PROPN
ejpam-3048	640	7	,	,	PUNCT
ejpam-3048	640	8	g.	g.	PROPN
ejpam-3048	640	9	d.	d.	PROPN
ejpam-3048	640	10	wang	wang	PROPN
ejpam-3048	640	11	,	,	PUNCT
ejpam-3048	640	12	x.	x.	PROPN
ejpam-3048	640	13	h.	h.	PROPN
ejpam-3048	640	14	zhang	zhang	PROPN
ejpam-3048	640	15	,	,	PUNCT
ejpam-3048	640	16	schur	schur	PROPN
ejpam-3048	640	17	convexity	convexity	PROPN
ejpam-3048	640	18	and	and	CCONJ
ejpam-3048	640	19	hadamard	hadamard	NOUN
ejpam-3048	640	20	’s	’s	PART
ejpam-3048	640	21	inequality	inequality	NOUN
ejpam-3048	640	22	,	,	PUNCT
ejpam-3048	640	23	math	math	NOUN
ejpam-3048	640	24	.	.	PUNCT
ejpam-3048	641	1	inequal	inequal	PROPN
ejpam-3048	641	2	.	.	PUNCT
ejpam-3048	642	1	appl	appl	PROPN
ejpam-3048	642	2	.	.	PROPN
ejpam-3048	642	3	,	,	PUNCT
ejpam-3048	642	4	13	13	NUM
ejpam-3048	642	5	,	,	PUNCT
ejpam-3048	642	6	(	(	PUNCT
ejpam-3048	642	7	4	4	NUM
ejpam-3048	642	8	)	)	PUNCT
ejpam-3048	642	9	(	(	PUNCT
ejpam-3048	642	10	2010	2010	NUM
ejpam-3048	642	11	)	)	PUNCT
ejpam-3048	642	12	,	,	PUNCT
ejpam-3048	642	13	725	725	NUM
ejpam-3048	642	14	-	-	SYM
ejpam-3048	642	15	731	731	NUM
ejpam-3048	642	16	.	.	PUNCT
ejpam-3048	643	1	[	[	X
ejpam-3048	643	2	21	21	NUM
ejpam-3048	643	3	]	]	PUNCT
ejpam-3048	643	4	x.	x.	NOUN
ejpam-3048	643	5	m.	m.	PROPN
ejpam-3048	643	6	zhang	zhang	PROPN
ejpam-3048	643	7	,	,	PUNCT
ejpam-3048	643	8	y.	y.	PROPN
ejpam-3048	643	9	m.	m.	PROPN
ejpam-3048	643	10	chu	chu	PROPN
ejpam-3048	643	11	,	,	PUNCT
ejpam-3048	643	12	x.	x.	PROPN
ejpam-3048	643	13	h.	h.	PROPN
ejpam-3048	643	14	zhang	zhang	PROPN
ejpam-3048	643	15	,	,	PUNCT
ejpam-3048	643	16	the	the	DET
ejpam-3048	643	17	hermite	hermite	PROPN
ejpam-3048	643	18	-	-	PUNCT
ejpam-3048	643	19	hadamard	hadamard	ADJ
ejpam-3048	643	20	type	type	NOUN
ejpam-3048	643	21	inequality	inequality	NOUN
ejpam-3048	643	22	of	of	ADP
ejpam-3048	643	23	ga	ga	NOUN
ejpam-3048	643	24	-	-	PUNCT
ejpam-3048	643	25	convex	convex	NOUN
ejpam-3048	643	26	functions	function	NOUN
ejpam-3048	643	27	and	and	CCONJ
ejpam-3048	643	28	its	its	PRON
ejpam-3048	643	29	applications	application	NOUN
ejpam-3048	643	30	,	,	PUNCT
ejpam-3048	643	31	j.	j.	PROPN
ejpam-3048	643	32	inequal	inequal	PROPN
ejpam-3048	643	33	.	.	PUNCT
ejpam-3048	644	1	appl	appl	PROPN
ejpam-3048	644	2	.	.	PROPN
ejpam-3048	644	3	,	,	PUNCT
ejpam-3048	644	4	(	(	PUNCT
ejpam-3048	644	5	2010	2010	NUM
ejpam-3048	644	6	)	)	PUNCT
ejpam-3048	644	7	,	,	PUNCT
ejpam-3048	644	8	article	article	NOUN
ejpam-3048	644	9	i	i	PROPN
ejpam-3048	644	10	d	d	PROPN
ejpam-3048	644	11	507560	507560	NUM
ejpam-3048	644	12	,	,	PUNCT
ejpam-3048	644	13	11	11	NUM
ejpam-3048	644	14	pages	page	NOUN
ejpam-3048	644	15	.	.	PUNCT
ejpam-3048	645	1	[	[	X
ejpam-3048	645	2	22	22	NUM
ejpam-3048	645	3	]	]	X
ejpam-3048	645	4	y.	y.	PROPN
ejpam-3048	645	5	m.	m.	PROPN
ejpam-3048	645	6	chu	chu	PROPN
ejpam-3048	645	7	,	,	PUNCT
ejpam-3048	645	8	m.	m.	NOUN
ejpam-3048	645	9	a.	a.	PROPN
ejpam-3048	645	10	khan	khan	PROPN
ejpam-3048	645	11	,	,	PUNCT
ejpam-3048	645	12	t.	t.	PROPN
ejpam-3048	645	13	u.	u.	PROPN
ejpam-3048	645	14	khan	khan	PROPN
ejpam-3048	645	15	,	,	PUNCT
ejpam-3048	645	16	t.	t.	PROPN
ejpam-3048	645	17	ali	ali	PROPN
ejpam-3048	645	18	,	,	PUNCT
ejpam-3048	645	19	generalizations	generalization	NOUN
ejpam-3048	645	20	of	of	ADP
ejpam-3048	645	21	hermite	hermite	ADJ
ejpam-3048	645	22	-	-	PUNCT
ejpam-3048	645	23	hadamard	hadamard	ADJ
ejpam-3048	645	24	type	type	NOUN
ejpam-3048	645	25	inequalities	inequality	NOUN
ejpam-3048	645	26	for	for	ADP
ejpam-3048	645	27	mt	mt	NOUN
ejpam-3048	645	28	-	-	PUNCT
ejpam-3048	645	29	convex	convex	NOUN
ejpam-3048	645	30	functions	function	NOUN
ejpam-3048	645	31	,	,	PUNCT
ejpam-3048	645	32	j.	j.	PROPN
ejpam-3048	645	33	nonlinear	nonlinear	PROPN
ejpam-3048	645	34	sci	sci	PROPN
ejpam-3048	645	35	.	.	PUNCT
ejpam-3048	645	36	appl	appl	PROPN
ejpam-3048	645	37	.	.	PROPN
ejpam-3048	645	38	,	,	PUNCT
ejpam-3048	645	39	9	9	NUM
ejpam-3048	645	40	,	,	PUNCT
ejpam-3048	645	41	(	(	PUNCT
ejpam-3048	645	42	5	5	NUM
ejpam-3048	645	43	)	)	PUNCT
ejpam-3048	645	44	(	(	PUNCT
ejpam-3048	645	45	2016	2016	NUM
ejpam-3048	645	46	)	)	PUNCT
ejpam-3048	645	47	,	,	PUNCT
ejpam-3048	645	48	4305	4305	NUM
ejpam-3048	645	49	-	-	SYM
ejpam-3048	645	50	4316	4316	NUM
ejpam-3048	645	51	.	.	PUNCT
ejpam-3048	646	1	[	[	X
ejpam-3048	646	2	23	23	NUM
ejpam-3048	646	3	]	]	PUNCT
ejpam-3048	646	4	m.	m.	PROPN
ejpam-3048	646	5	adil	adil	PROPN
ejpam-3048	646	6	khan	khan	PROPN
ejpam-3048	646	7	,	,	PUNCT
ejpam-3048	646	8	y.	y.	PROPN
ejpam-3048	646	9	khurshid	khurshid	PROPN
ejpam-3048	646	10	,	,	PUNCT
ejpam-3048	646	11	t.	t.	PROPN
ejpam-3048	646	12	ali	ali	PROPN
ejpam-3048	646	13	,	,	PUNCT
ejpam-3048	646	14	n.	n.	PROPN
ejpam-3048	646	15	rehman	rehman	PROPN
ejpam-3048	646	16	,	,	PUNCT
ejpam-3048	646	17	inequalities	inequality	NOUN
ejpam-3048	646	18	for	for	ADP
ejpam-3048	646	19	three	three	NUM
ejpam-3048	646	20	times	time	NOUN
ejpam-3048	646	21	differentiable	differentiable	ADJ
ejpam-3048	646	22	functions	function	NOUN
ejpam-3048	646	23	,	,	PUNCT
ejpam-3048	646	24	j.	j.	PROPN
ejpam-3048	646	25	math	math	PROPN
ejpam-3048	646	26	.	.	PUNCT
ejpam-3048	646	27	,	,	PUNCT
ejpam-3048	646	28	punjab	punjab	PROPN
ejpam-3048	646	29	univ	univ	PROPN
ejpam-3048	646	30	.	.	PROPN
ejpam-3048	646	31	,	,	PUNCT
ejpam-3048	646	32	48	48	NUM
ejpam-3048	646	33	,	,	PUNCT
ejpam-3048	646	34	(	(	PUNCT
ejpam-3048	646	35	2	2	NUM
ejpam-3048	646	36	)	)	PUNCT
ejpam-3048	646	37	(	(	PUNCT
ejpam-3048	646	38	2016	2016	NUM
ejpam-3048	646	39	)	)	PUNCT
ejpam-3048	646	40	,	,	PUNCT
ejpam-3048	646	41	35	35	NUM
ejpam-3048	646	42	-	-	SYM
ejpam-3048	646	43	48	48	NUM
ejpam-3048	646	44	.	.	PUNCT
ejpam-3048	647	1	[	[	X
ejpam-3048	647	2	24	24	NUM
ejpam-3048	647	3	]	]	PUNCT
ejpam-3048	647	4	m.	m.	NOUN
ejpam-3048	647	5	adil	adil	PROPN
ejpam-3048	647	6	khan	khan	PROPN
ejpam-3048	647	7	,	,	PUNCT
ejpam-3048	647	8	y.	y.	PROPN
ejpam-3048	647	9	khurshid	khurshid	PROPN
ejpam-3048	647	10	,	,	PUNCT
ejpam-3048	647	11	t.	t.	PROPN
ejpam-3048	647	12	ali	ali	PROPN
ejpam-3048	647	13	,	,	PUNCT
ejpam-3048	647	14	hermite	hermite	PROPN
ejpam-3048	647	15	-	-	PUNCT
ejpam-3048	647	16	hadamard	hadamard	ADJ
ejpam-3048	647	17	inequality	inequality	NOUN
ejpam-3048	647	18	for	for	ADP
ejpam-3048	647	19	fractional	fractional	ADJ
ejpam-3048	647	20	integrals	integral	NOUN
ejpam-3048	647	21	via	via	ADP
ejpam-3048	647	22	η	η	ADJ
ejpam-3048	647	23	-	-	ADJ
ejpam-3048	647	24	convex	convex	ADJ
ejpam-3048	647	25	functions	function	NOUN
ejpam-3048	647	26	,	,	PUNCT
ejpam-3048	647	27	acta	acta	PROPN
ejpam-3048	647	28	mathematica	mathematica	PROPN
ejpam-3048	647	29	universitatis	universitatis	PROPN
ejpam-3048	647	30	comenianae	comenianae	PROPN
ejpam-3048	647	31	,	,	PUNCT
ejpam-3048	647	32	86	86	NUM
ejpam-3048	647	33	,	,	PUNCT
ejpam-3048	647	34	(	(	PUNCT
ejpam-3048	647	35	1	1	NUM
ejpam-3048	647	36	)	)	PUNCT
ejpam-3048	647	37	(	(	PUNCT
ejpam-3048	647	38	2017	2017	NUM
ejpam-3048	647	39	)	)	PUNCT
ejpam-3048	647	40	,	,	PUNCT
ejpam-3048	647	41	153	153	NUM
ejpam-3048	647	42	-	-	SYM
ejpam-3048	647	43	164	164	NUM
ejpam-3048	647	44	.	.	PUNCT
ejpam-3048	648	1	[	[	X
ejpam-3048	648	2	25	25	NUM
ejpam-3048	648	3	]	]	X
ejpam-3048	648	4	y.	y.	PROPN
ejpam-3048	648	5	m.	m.	PROPN
ejpam-3048	648	6	chu	chu	PROPN
ejpam-3048	648	7	,	,	PUNCT
ejpam-3048	648	8	m.	m.	PROPN
ejpam-3048	648	9	adil	adil	PROPN
ejpam-3048	648	10	khan	khan	PROPN
ejpam-3048	648	11	,	,	PUNCT
ejpam-3048	648	12	t.	t.	PROPN
ejpam-3048	648	13	ullah	ullah	PROPN
ejpam-3048	648	14	khan	khan	PROPN
ejpam-3048	648	15	,	,	PUNCT
ejpam-3048	648	16	t.	t.	PROPN
ejpam-3048	648	17	ali	ali	PROPN
ejpam-3048	648	18	,	,	PUNCT
ejpam-3048	648	19	generalizations	generalization	NOUN
ejpam-3048	648	20	of	of	ADP
ejpam-3048	648	21	hermitehadamard	hermitehadamard	NOUN
ejpam-3048	648	22	type	type	NOUN
ejpam-3048	648	23	inequalities	inequality	NOUN
ejpam-3048	648	24	for	for	ADP
ejpam-3048	648	25	mt	mt	NOUN
ejpam-3048	648	26	-	-	PUNCT
ejpam-3048	648	27	convex	convex	NOUN
ejpam-3048	648	28	functions	function	NOUN
ejpam-3048	648	29	,	,	PUNCT
ejpam-3048	648	30	j.	j.	PROPN
ejpam-3048	648	31	nonlinear	nonlinear	PROPN
ejpam-3048	648	32	sci	sci	PROPN
ejpam-3048	648	33	.	.	PUNCT
ejpam-3048	648	34	appl	appl	PROPN
ejpam-3048	648	35	.	.	PROPN
ejpam-3048	648	36	,	,	PUNCT
ejpam-3048	648	37	9	9	NUM
ejpam-3048	648	38	,	,	PUNCT
ejpam-3048	648	39	(	(	PUNCT
ejpam-3048	648	40	2016	2016	NUM
ejpam-3048	648	41	)	)	PUNCT
ejpam-3048	648	42	,	,	PUNCT
ejpam-3048	648	43	4305	4305	NUM
ejpam-3048	648	44	-	-	SYM
ejpam-3048	648	45	4316	4316	NUM
ejpam-3048	648	46	.	.	PUNCT
ejpam-3048	649	1	[	[	X
ejpam-3048	649	2	26	26	NUM
ejpam-3048	649	3	]	]	PUNCT
ejpam-3048	649	4	h.	h.	PROPN
ejpam-3048	649	5	n.	n.	PROPN
ejpam-3048	649	6	shi	shi	PROPN
ejpam-3048	649	7	,	,	PUNCT
ejpam-3048	649	8	two	two	NUM
ejpam-3048	649	9	schur	schur	VERB
ejpam-3048	649	10	-	-	PUNCT
ejpam-3048	649	11	convex	convex	NOUN
ejpam-3048	649	12	functions	function	NOUN
ejpam-3048	649	13	related	relate	VERB
ejpam-3048	649	14	to	to	ADP
ejpam-3048	649	15	hadamard	hadamard	ADJ
ejpam-3048	649	16	-	-	PUNCT
ejpam-3048	649	17	type	type	NOUN
ejpam-3048	649	18	integral	integral	ADJ
ejpam-3048	649	19	inequalities	inequality	NOUN
ejpam-3048	649	20	,	,	PUNCT
ejpam-3048	649	21	publ	publ	PROPN
ejpam-3048	649	22	.	.	PUNCT
ejpam-3048	650	1	math	math	NOUN
ejpam-3048	650	2	.	.	PUNCT
ejpam-3048	651	1	debrecen	debrecen	PROPN
ejpam-3048	651	2	,	,	PUNCT
ejpam-3048	651	3	78	78	NUM
ejpam-3048	651	4	,	,	PUNCT
ejpam-3048	651	5	(	(	PUNCT
ejpam-3048	651	6	2	2	NUM
ejpam-3048	651	7	)	)	PUNCT
ejpam-3048	651	8	(	(	PUNCT
ejpam-3048	651	9	2011	2011	NUM
ejpam-3048	651	10	)	)	PUNCT
ejpam-3048	651	11	,	,	PUNCT
ejpam-3048	651	12	393	393	NUM
ejpam-3048	651	13	-	-	SYM
ejpam-3048	651	14	403	403	NUM
ejpam-3048	651	15	.	.	PUNCT
ejpam-3048	652	1	[	[	X
ejpam-3048	652	2	27	27	NUM
ejpam-3048	652	3	]	]	X
ejpam-3048	652	4	f.	f.	PROPN
ejpam-3048	652	5	x.	x.	PROPN
ejpam-3048	652	6	chen	chen	PROPN
ejpam-3048	652	7	,	,	PUNCT
ejpam-3048	652	8	s.	s.	PROPN
ejpam-3048	652	9	h.	h.	PROPN
ejpam-3048	652	10	wu	wu	PROPN
ejpam-3048	652	11	,	,	PUNCT
ejpam-3048	652	12	several	several	ADJ
ejpam-3048	652	13	complementary	complementary	ADJ
ejpam-3048	652	14	inequalities	inequality	NOUN
ejpam-3048	652	15	to	to	ADP
ejpam-3048	652	16	inequalities	inequality	NOUN
ejpam-3048	652	17	of	of	ADP
ejpam-3048	652	18	hermitehadamard	hermitehadamard	ADJ
ejpam-3048	652	19	type	type	NOUN
ejpam-3048	652	20	for	for	ADP
ejpam-3048	652	21	s	s	NOUN
ejpam-3048	652	22	-	-	PUNCT
ejpam-3048	652	23	convex	convex	ADJ
ejpam-3048	652	24	functions	function	NOUN
ejpam-3048	652	25	,	,	PUNCT
ejpam-3048	652	26	j.	j.	PROPN
ejpam-3048	652	27	nonlinear	nonlinear	PROPN
ejpam-3048	652	28	sci	sci	PROPN
ejpam-3048	652	29	.	.	PUNCT
ejpam-3048	652	30	appl	appl	PROPN
ejpam-3048	652	31	.	.	PROPN
ejpam-3048	652	32	,	,	PUNCT
ejpam-3048	652	33	9	9	NUM
ejpam-3048	652	34	,	,	PUNCT
ejpam-3048	652	35	(	(	PUNCT
ejpam-3048	652	36	2	2	NUM
ejpam-3048	652	37	)	)	PUNCT
ejpam-3048	652	38	(	(	PUNCT
ejpam-3048	652	39	2016	2016	NUM
ejpam-3048	652	40	)	)	PUNCT
ejpam-3048	652	41	,	,	PUNCT
ejpam-3048	652	42	705	705	NUM
ejpam-3048	652	43	-	-	SYM
ejpam-3048	652	44	716	716	NUM
ejpam-3048	652	45	.	.	PUNCT
ejpam-3048	653	1	[	[	X
ejpam-3048	653	2	28	28	NUM
ejpam-3048	653	3	]	]	X
ejpam-3048	653	4	d.	d.	PROPN
ejpam-3048	653	5	d.	d.	PROPN
ejpam-3048	653	6	stancu	stancu	PROPN
ejpam-3048	653	7	,	,	PUNCT
ejpam-3048	653	8	g.	g.	PROPN
ejpam-3048	653	9	coman	coman	PROPN
ejpam-3048	653	10	,	,	PUNCT
ejpam-3048	653	11	p.	p.	PROPN
ejpam-3048	653	12	blaga	blaga	PROPN
ejpam-3048	653	13	,	,	PUNCT
ejpam-3048	653	14	analiză	analiză	VERB
ejpam-3048	653	15	numerică	numerică	NOUN
ejpam-3048	653	16	şi	şi	PROPN
ejpam-3048	653	17	teoria	teoria	NOUN
ejpam-3048	653	18	aproximării	aproximării	PROPN
ejpam-3048	653	19	,	,	PUNCT
ejpam-3048	653	20	clujnapoca	clujnapoca	NOUN
ejpam-3048	653	21	:	:	PUNCT
ejpam-3048	653	22	presa	presa	PROPN
ejpam-3048	653	23	universitară	universitară	PROPN
ejpam-3048	653	24	clujeană.	clujeană.	PROPN
ejpam-3048	653	25	,	,	PUNCT
ejpam-3048	653	26	2	2	NUM
ejpam-3048	653	27	,	,	PUNCT
ejpam-3048	653	28	(	(	PUNCT
ejpam-3048	653	29	2002	2002	NUM
ejpam-3048	653	30	)	)	PUNCT
ejpam-3048	653	31	.	.	PUNCT
ejpam-3048	654	1	[	[	X
ejpam-3048	654	2	29	29	NUM
ejpam-3048	654	3	]	]	PUNCT
ejpam-3048	654	4	w.	w.	PROPN
ejpam-3048	654	5	liu	liu	PROPN
ejpam-3048	654	6	,	,	PUNCT
ejpam-3048	654	7	new	new	ADJ
ejpam-3048	654	8	integral	integral	ADJ
ejpam-3048	654	9	inequalities	inequality	NOUN
ejpam-3048	654	10	involving	involve	VERB
ejpam-3048	654	11	beta	beta	ADJ
ejpam-3048	654	12	function	function	NOUN
ejpam-3048	654	13	via	via	ADP
ejpam-3048	654	14	p	p	NOUN
ejpam-3048	654	15	-convexity	-convexity	NOUN
ejpam-3048	654	16	,	,	PUNCT
ejpam-3048	654	17	miskolc	miskolc	ADJ
ejpam-3048	654	18	math	math	NOUN
ejpam-3048	654	19	.	.	PUNCT
ejpam-3048	655	1	notes	note	NOUN
ejpam-3048	655	2	,	,	PUNCT
ejpam-3048	655	3	15	15	NUM
ejpam-3048	655	4	,	,	PUNCT
ejpam-3048	655	5	(	(	PUNCT
ejpam-3048	655	6	2	2	NUM
ejpam-3048	655	7	)	)	PUNCT
ejpam-3048	655	8	(	(	PUNCT
ejpam-3048	655	9	2014	2014	NUM
ejpam-3048	655	10	)	)	PUNCT
ejpam-3048	655	11	,	,	PUNCT
ejpam-3048	655	12	585	585	NUM
ejpam-3048	655	13	-	-	SYM
ejpam-3048	655	14	591	591	NUM
ejpam-3048	655	15	.	.	PUNCT
ejpam-3048	656	1	[	[	X
ejpam-3048	656	2	30	30	NUM
ejpam-3048	656	3	]	]	PUNCT
ejpam-3048	656	4	m.	m.	NOUN
ejpam-3048	656	5	e.	e.	PROPN
ejpam-3048	656	6	özdemir	özdemir	PROPN
ejpam-3048	656	7	,	,	PUNCT
ejpam-3048	656	8	e.	e.	PROPN
ejpam-3048	656	9	set	set	PROPN
ejpam-3048	656	10	,	,	PUNCT
ejpam-3048	656	11	m.	m.	NOUN
ejpam-3048	656	12	alomari	alomari	PROPN
ejpam-3048	656	13	,	,	PUNCT
ejpam-3048	656	14	integral	integral	ADJ
ejpam-3048	656	15	inequalities	inequality	NOUN
ejpam-3048	656	16	via	via	ADP
ejpam-3048	656	17	several	several	ADJ
ejpam-3048	656	18	kinds	kind	NOUN
ejpam-3048	656	19	of	of	ADP
ejpam-3048	656	20	convexity	convexity	NOUN
ejpam-3048	656	21	,	,	PUNCT
ejpam-3048	656	22	creat	creat	PROPN
ejpam-3048	656	23	.	.	PUNCT
ejpam-3048	656	24	math	math	PROPN
ejpam-3048	656	25	.	.	PUNCT
ejpam-3048	657	1	inform	inform	NOUN
ejpam-3048	657	2	.	.	PUNCT
ejpam-3048	657	3	,	,	PUNCT
ejpam-3048	657	4	20	20	NUM
ejpam-3048	657	5	,	,	PUNCT
ejpam-3048	657	6	(	(	PUNCT
ejpam-3048	657	7	1	1	NUM
ejpam-3048	657	8	)	)	PUNCT
ejpam-3048	657	9	(	(	PUNCT
ejpam-3048	657	10	2011	2011	NUM
ejpam-3048	657	11	)	)	PUNCT
ejpam-3048	657	12	,	,	PUNCT
ejpam-3048	657	13	62	62	NUM
ejpam-3048	657	14	-	-	SYM
ejpam-3048	657	15	73	73	NUM
ejpam-3048	657	16	.	.	PUNCT
ejpam-3048	658	1	[	[	X
ejpam-3048	658	2	31	31	NUM
ejpam-3048	658	3	]	]	PUNCT
ejpam-3048	658	4	w.	w.	PROPN
ejpam-3048	658	5	liu	liu	PROPN
ejpam-3048	658	6	,	,	PUNCT
ejpam-3048	658	7	w.	w.	PROPN
ejpam-3048	658	8	wen	wen	PROPN
ejpam-3048	658	9	,	,	PUNCT
ejpam-3048	658	10	j.	j.	PROPN
ejpam-3048	658	11	park	park	PROPN
ejpam-3048	658	12	,	,	PUNCT
ejpam-3048	658	13	hermite	hermite	PROPN
ejpam-3048	658	14	-	-	PUNCT
ejpam-3048	658	15	hadamard	hadamard	ADJ
ejpam-3048	658	16	type	type	NOUN
ejpam-3048	658	17	inequalities	inequality	NOUN
ejpam-3048	658	18	for	for	ADP
ejpam-3048	658	19	mt	mt	NOUN
ejpam-3048	658	20	-	-	PUNCT
ejpam-3048	658	21	convex	convex	NOUN
ejpam-3048	658	22	functions	function	NOUN
ejpam-3048	658	23	via	via	ADP
ejpam-3048	658	24	classical	classical	ADJ
ejpam-3048	658	25	integrals	integral	NOUN
ejpam-3048	658	26	and	and	CCONJ
ejpam-3048	658	27	fractional	fractional	ADJ
ejpam-3048	658	28	integrals	integral	NOUN
ejpam-3048	658	29	,	,	PUNCT
ejpam-3048	658	30	j.	j.	PROPN
ejpam-3048	658	31	nonlinear	nonlinear	PROPN
ejpam-3048	658	32	sci	sci	PROPN
ejpam-3048	658	33	.	.	PUNCT
ejpam-3048	658	34	appl	appl	PROPN
ejpam-3048	658	35	.	.	PROPN
ejpam-3048	658	36	,	,	PUNCT
ejpam-3048	658	37	9	9	NUM
ejpam-3048	658	38	,	,	PUNCT
ejpam-3048	658	39	(	(	PUNCT
ejpam-3048	658	40	2016	2016	NUM
ejpam-3048	658	41	)	)	PUNCT
ejpam-3048	658	42	,	,	PUNCT
ejpam-3048	658	43	766	766	NUM
ejpam-3048	658	44	-	-	SYM
ejpam-3048	658	45	777	777	NUM
ejpam-3048	658	46	.	.	PUNCT
ejpam-3048	659	1	references	reference	NOUN
ejpam-3048	659	2	834	834	NUM
ejpam-3048	660	1	[	[	X
ejpam-3048	660	2	32	32	NUM
ejpam-3048	660	3	]	]	PUNCT
ejpam-3048	660	4	w.	w.	PROPN
ejpam-3048	660	5	liu	liu	PROPN
ejpam-3048	660	6	,	,	PUNCT
ejpam-3048	660	7	w.	w.	PROPN
ejpam-3048	660	8	wen	wen	PROPN
ejpam-3048	660	9	,	,	PUNCT
ejpam-3048	660	10	j.	j.	PROPN
ejpam-3048	660	11	park	park	PROPN
ejpam-3048	660	12	,	,	PUNCT
ejpam-3048	660	13	ostrowski	ostrowski	ADJ
ejpam-3048	660	14	type	type	NOUN
ejpam-3048	660	15	fractional	fractional	ADJ
ejpam-3048	660	16	integral	integral	ADJ
ejpam-3048	660	17	inequalities	inequality	NOUN
ejpam-3048	660	18	for	for	ADP
ejpam-3048	660	19	mtconvex	mtconvex	NOUN
ejpam-3048	660	20	functions	function	NOUN
ejpam-3048	660	21	,	,	PUNCT
ejpam-3048	660	22	miskolc	miskolc	ADJ
ejpam-3048	660	23	math	math	NOUN
ejpam-3048	660	24	.	.	PUNCT
ejpam-3048	661	1	notes	note	NOUN
ejpam-3048	661	2	,	,	PUNCT
ejpam-3048	661	3	16	16	NUM
ejpam-3048	661	4	,	,	PUNCT
ejpam-3048	661	5	(	(	PUNCT
ejpam-3048	661	6	1	1	NUM
ejpam-3048	661	7	)	)	PUNCT
ejpam-3048	661	8	(	(	PUNCT
ejpam-3048	661	9	2015	2015	NUM
ejpam-3048	661	10	)	)	PUNCT
ejpam-3048	661	11	,	,	PUNCT
ejpam-3048	661	12	249	249	NUM
ejpam-3048	661	13	-	-	SYM
ejpam-3048	661	14	256	256	NUM
ejpam-3048	661	15	.	.	PUNCT
ejpam-3048	662	1	[	[	X
ejpam-3048	662	2	33	33	NUM
ejpam-3048	662	3	]	]	X
ejpam-3048	662	4	y.	y.	PROPN
ejpam-3048	662	5	m.	m.	PROPN
ejpam-3048	662	6	chu	chu	PROPN
ejpam-3048	662	7	,	,	PUNCT
ejpam-3048	662	8	g.	g.	PROPN
ejpam-3048	662	9	d.	d.	PROPN
ejpam-3048	662	10	wang	wang	PROPN
ejpam-3048	662	11	,	,	PUNCT
ejpam-3048	662	12	x.	x.	PROPN
ejpam-3048	662	13	h.	h.	PROPN
ejpam-3048	662	14	zhang	zhang	PROPN
ejpam-3048	662	15	,	,	PUNCT
ejpam-3048	662	16	schur	schur	PROPN
ejpam-3048	662	17	convexity	convexity	PROPN
ejpam-3048	662	18	and	and	CCONJ
ejpam-3048	662	19	hadamard	hadamard	NOUN
ejpam-3048	662	20	’s	’s	PART
ejpam-3048	662	21	inequality	inequality	NOUN
ejpam-3048	662	22	math	math	NOUN
ejpam-3048	662	23	.	.	PUNCT
ejpam-3048	663	1	inequal	inequal	ADJ
ejpam-3048	663	2	.	.	PUNCT
ejpam-3048	664	1	appl	appl	PROPN
ejpam-3048	664	2	.	.	PROPN
ejpam-3048	664	3	,	,	PUNCT
ejpam-3048	664	4	13	13	NUM
ejpam-3048	664	5	,	,	PUNCT
ejpam-3048	664	6	(	(	PUNCT
ejpam-3048	664	7	4	4	NUM
ejpam-3048	664	8	)	)	PUNCT
ejpam-3048	664	9	(	(	PUNCT
ejpam-3048	664	10	2010	2010	NUM
ejpam-3048	664	11	)	)	PUNCT
ejpam-3048	664	12	,	,	PUNCT
ejpam-3048	664	13	725	725	NUM
ejpam-3048	664	14	-	-	SYM
ejpam-3048	664	15	731	731	NUM
ejpam-3048	664	16	.	.	PUNCT
ejpam-3048	665	1	[	[	X
ejpam-3048	665	2	34	34	NUM
ejpam-3048	665	3	]	]	PUNCT
ejpam-3048	665	4	x.	x.	NOUN
ejpam-3048	665	5	m.	m.	PROPN
ejpam-3048	665	6	zhang	zhang	PROPN
ejpam-3048	665	7	,	,	PUNCT
ejpam-3048	665	8	y.	y.	PROPN
ejpam-3048	665	9	m.	m.	PROPN
ejpam-3048	665	10	chu	chu	PROPN
ejpam-3048	665	11	,	,	PUNCT
ejpam-3048	665	12	x.	x.	PROPN
ejpam-3048	665	13	h.	h.	PROPN
ejpam-3048	665	14	zhang	zhang	PROPN
ejpam-3048	665	15	,	,	PUNCT
ejpam-3048	665	16	the	the	DET
ejpam-3048	665	17	hermite	hermite	PROPN
ejpam-3048	665	18	-	-	PUNCT
ejpam-3048	665	19	hadamard	hadamard	ADJ
ejpam-3048	665	20	type	type	NOUN
ejpam-3048	665	21	inequality	inequality	NOUN
ejpam-3048	665	22	of	of	ADP
ejpam-3048	665	23	ga	ga	NOUN
ejpam-3048	665	24	-	-	PUNCT
ejpam-3048	665	25	convex	convex	NOUN
ejpam-3048	665	26	functions	function	NOUN
ejpam-3048	665	27	and	and	CCONJ
ejpam-3048	665	28	its	its	PRON
ejpam-3048	665	29	applications	application	NOUN
ejpam-3048	665	30	,	,	PUNCT
ejpam-3048	665	31	j.	j.	PROPN
ejpam-3048	665	32	inequal	inequal	PROPN
ejpam-3048	665	33	.	.	PUNCT
ejpam-3048	666	1	appl	appl	PROPN
ejpam-3048	666	2	.	.	PROPN
ejpam-3048	666	3	,	,	PUNCT
ejpam-3048	666	4	(	(	PUNCT
ejpam-3048	666	5	2010	2010	NUM
ejpam-3048	666	6	)	)	PUNCT
ejpam-3048	666	7	,	,	PUNCT
ejpam-3048	666	8	article	article	NOUN
ejpam-3048	666	9	i	i	PROPN
ejpam-3048	666	10	d	d	PROPN
ejpam-3048	666	11	507560	507560	NUM
ejpam-3048	666	12	,	,	PUNCT
ejpam-3048	666	13	11	11	NUM
ejpam-3048	666	14	pages	page	NOUN
ejpam-3048	666	15	.	.	PUNCT
ejpam-3048	667	1	[	[	X
ejpam-3048	667	2	35	35	NUM
ejpam-3048	667	3	]	]	X
ejpam-3048	667	4	y.	y.	PROPN
ejpam-3048	667	5	m.	m.	PROPN
ejpam-3048	667	6	chu	chu	PROPN
ejpam-3048	667	7	,	,	PUNCT
ejpam-3048	667	8	m.	m.	NOUN
ejpam-3048	667	9	a.	a.	PROPN
ejpam-3048	667	10	khan	khan	PROPN
ejpam-3048	667	11	,	,	PUNCT
ejpam-3048	667	12	t.	t.	PROPN
ejpam-3048	667	13	u.	u.	PROPN
ejpam-3048	667	14	khan	khan	PROPN
ejpam-3048	667	15	,	,	PUNCT
ejpam-3048	667	16	t.	t.	PROPN
ejpam-3048	667	17	ali	ali	PROPN
ejpam-3048	667	18	,	,	PUNCT
ejpam-3048	667	19	generalizations	generalization	NOUN
ejpam-3048	667	20	of	of	ADP
ejpam-3048	667	21	hermite	hermite	ADJ
ejpam-3048	667	22	-	-	PUNCT
ejpam-3048	667	23	hadamard	hadamard	ADJ
ejpam-3048	667	24	type	type	NOUN
ejpam-3048	667	25	inequalities	inequality	NOUN
ejpam-3048	667	26	for	for	ADP
ejpam-3048	667	27	mt	mt	NOUN
ejpam-3048	667	28	-	-	PUNCT
ejpam-3048	667	29	convex	convex	NOUN
ejpam-3048	667	30	functions	function	NOUN
ejpam-3048	667	31	,	,	PUNCT
ejpam-3048	667	32	j.	j.	PROPN
ejpam-3048	667	33	nonlinear	nonlinear	PROPN
ejpam-3048	667	34	sci	sci	PROPN
ejpam-3048	667	35	.	.	PUNCT
ejpam-3048	667	36	appl	appl	PROPN
ejpam-3048	667	37	.	.	PROPN
ejpam-3048	667	38	,	,	PUNCT
ejpam-3048	667	39	9	9	NUM
ejpam-3048	667	40	,	,	PUNCT
ejpam-3048	667	41	(	(	PUNCT
ejpam-3048	667	42	5	5	NUM
ejpam-3048	667	43	)	)	PUNCT
ejpam-3048	667	44	(	(	PUNCT
ejpam-3048	667	45	2016	2016	NUM
ejpam-3048	667	46	)	)	PUNCT
ejpam-3048	667	47	,	,	PUNCT
ejpam-3048	667	48	4305	4305	NUM
ejpam-3048	667	49	-	-	SYM
ejpam-3048	667	50	4316	4316	NUM
ejpam-3048	667	51	.	.	PUNCT
ejpam-3048	668	1	[	[	X
ejpam-3048	668	2	36	36	NUM
ejpam-3048	668	3	]	]	PUNCT
ejpam-3048	668	4	p.	p.	PROPN
ejpam-3048	668	5	s.	s.	PROPN
ejpam-3048	668	6	bullen	bullen	PROPN
ejpam-3048	668	7	,	,	PUNCT
ejpam-3048	668	8	handbook	handbook	NOUN
ejpam-3048	668	9	of	of	ADP
ejpam-3048	668	10	means	mean	NOUN
ejpam-3048	668	11	and	and	CCONJ
ejpam-3048	668	12	their	their	PRON
ejpam-3048	668	13	inequalities	inequality	NOUN
ejpam-3048	668	14	,	,	PUNCT
ejpam-3048	668	15	kluwer	kluwer	NOUN
ejpam-3048	668	16	academic	academic	ADJ
ejpam-3048	668	17	publishers	publisher	NOUN
ejpam-3048	668	18	,	,	PUNCT
ejpam-3048	668	19	dordrecht	dordrecht	PROPN
ejpam-3048	668	20	,	,	PUNCT
ejpam-3048	668	21	(	(	PUNCT
ejpam-3048	668	22	2003	2003	NUM
ejpam-3048	668	23	)	)	PUNCT
ejpam-3048	668	24	.	.	PUNCT