id	sid	tid	token	lemma	pos
ejpam-4843	1	1	european	european	PROPN
ejpam-4843	1	2	journal	journal	PROPN
ejpam-4843	1	3	of	of	ADP
ejpam-4843	1	4	pure	pure	ADJ
ejpam-4843	1	5	and	and	CCONJ
ejpam-4843	1	6	applied	apply	VERB
ejpam-4843	1	7	mathematics	mathematic	NOUN
ejpam-4843	1	8	vol	vol	NOUN
ejpam-4843	1	9	.	.	PUNCT
ejpam-4843	2	1	16	16	NUM
ejpam-4843	2	2	,	,	PUNCT
ejpam-4843	2	3	no	no	INTJ
ejpam-4843	2	4	.	.	NOUN
ejpam-4843	2	5	3	3	NUM
ejpam-4843	2	6	,	,	PUNCT
ejpam-4843	2	7	2023	2023	NUM
ejpam-4843	2	8	,	,	PUNCT
ejpam-4843	2	9	1421	1421	NUM
ejpam-4843	2	10	-	-	SYM
ejpam-4843	2	11	1433	1433	NUM
ejpam-4843	2	12	issn	issn	PROPN
ejpam-4843	2	13	1307	1307	NUM
ejpam-4843	2	14	-	-	SYM
ejpam-4843	2	15	5543	5543	NUM
ejpam-4843	2	16	–	–	PUNCT
ejpam-4843	2	17	ejpam.com	ejpam.com	X
ejpam-4843	2	18	published	publish	VERB
ejpam-4843	2	19	by	by	ADP
ejpam-4843	2	20	new	new	PROPN
ejpam-4843	2	21	york	york	PROPN
ejpam-4843	2	22	business	business	PROPN
ejpam-4843	2	23	global	global	ADJ
ejpam-4843	2	24	twice	twice	ADV
ejpam-4843	2	25	differentiable	differentiable	ADJ
ejpam-4843	2	26	ostrowski	ostrowski	ADJ
ejpam-4843	2	27	type	type	NOUN
ejpam-4843	2	28	tensorial	tensorial	ADJ
ejpam-4843	2	29	norm	norm	NOUN
ejpam-4843	2	30	inequalities	inequality	NOUN
ejpam-4843	2	31	for	for	ADP
ejpam-4843	2	32	continuous	continuous	ADJ
ejpam-4843	2	33	functions	function	NOUN
ejpam-4843	2	34	of	of	ADP
ejpam-4843	2	35	selfadjoint	selfadjoint	NOUN
ejpam-4843	2	36	operators	operator	NOUN
ejpam-4843	2	37	in	in	ADP
ejpam-4843	2	38	hilbert	hilbert	PROPN
ejpam-4843	2	39	spaces	space	NOUN
ejpam-4843	3	1	vuk	vuk	PROPN
ejpam-4843	3	2	stojiljković	stojiljković	PROPN
ejpam-4843	4	1	university	university	PROPN
ejpam-4843	4	2	of	of	ADP
ejpam-4843	4	3	novi	novi	PROPN
ejpam-4843	4	4	sad	sad	PROPN
ejpam-4843	4	5	,	,	PUNCT
ejpam-4843	4	6	novi	novi	PROPN
ejpam-4843	4	7	sad	sad	PROPN
ejpam-4843	4	8	,	,	PUNCT
ejpam-4843	4	9	serbia	serbia	PROPN
ejpam-4843	4	10	,	,	PUNCT
ejpam-4843	4	11	serbia	serbia	PROPN
ejpam-4843	4	12	abstract	abstract	ADJ
ejpam-4843	4	13	.	.	PUNCT
ejpam-4843	5	1	in	in	ADP
ejpam-4843	5	2	this	this	DET
ejpam-4843	5	3	paper	paper	NOUN
ejpam-4843	5	4	several	several	ADJ
ejpam-4843	5	5	tensorial	tensorial	ADJ
ejpam-4843	5	6	norm	norm	NOUN
ejpam-4843	5	7	inequalities	inequality	NOUN
ejpam-4843	5	8	for	for	ADP
ejpam-4843	5	9	continuous	continuous	ADJ
ejpam-4843	5	10	functions	function	NOUN
ejpam-4843	5	11	of	of	ADP
ejpam-4843	5	12	selfadjoint	selfadjoint	NOUN
ejpam-4843	5	13	operators	operator	NOUN
ejpam-4843	5	14	in	in	ADP
ejpam-4843	5	15	hilbert	hilbert	PROPN
ejpam-4843	5	16	spaces	space	NOUN
ejpam-4843	5	17	have	have	AUX
ejpam-4843	5	18	been	be	AUX
ejpam-4843	5	19	obtained	obtain	VERB
ejpam-4843	5	20	.	.	PUNCT
ejpam-4843	6	1	multiple	multiple	ADJ
ejpam-4843	6	2	inequalities	inequality	NOUN
ejpam-4843	6	3	are	be	AUX
ejpam-4843	6	4	obtained	obtain	VERB
ejpam-4843	6	5	with	with	ADP
ejpam-4843	6	6	variations	variation	NOUN
ejpam-4843	6	7	due	due	ADP
ejpam-4843	6	8	to	to	ADP
ejpam-4843	6	9	the	the	DET
ejpam-4843	6	10	convexity	convexity	NOUN
ejpam-4843	6	11	properties	property	NOUN
ejpam-4843	6	12	of	of	ADP
ejpam-4843	6	13	the	the	DET
ejpam-4843	6	14	mapping	mapping	NOUN
ejpam-4843	6	15	f∥∥∥∥(1⊗b	f∥∥∥∥(1⊗b	PROPN
ejpam-4843	6	16	−a⊗	−a⊗	PROPN
ejpam-4843	6	17	1)−1[exp(1⊗b)−	1)−1[exp(1⊗b)−	NUM
ejpam-4843	7	1	exp(a⊗	exp(a⊗	PROPN
ejpam-4843	7	2	1)]−	1)]−	NUM
ejpam-4843	7	3	exp	exp	NOUN
ejpam-4843	7	4	(	(	PUNCT
ejpam-4843	7	5	a⊗	a⊗	NOUN
ejpam-4843	7	6	1	1	NUM
ejpam-4843	7	7	+	+	CCONJ
ejpam-4843	7	8	1⊗b	1⊗b	NUM
ejpam-4843	7	9	2	2	NUM
ejpam-4843	7	10	)	)	PUNCT
ejpam-4843	7	11	∥∥∥∥	∥∥∥∥	NUM
ejpam-4843	7	12	⩽	⩽	PROPN
ejpam-4843	7	13	∥1⊗b	∥1⊗b	PUNCT
ejpam-4843	8	1	−a⊗	−a⊗	PROPN
ejpam-4843	8	2	1∥2	1∥2	PROPN
ejpam-4843	9	1	∥f	∥f	PROPN
ejpam-4843	9	2	′′∥i,+∞	′′∥i,+∞	PROPN
ejpam-4843	9	3	24	24	NUM
ejpam-4843	9	4	.	.	PUNCT
ejpam-4843	10	1	2020	2020	NUM
ejpam-4843	10	2	mathematics	mathematic	NOUN
ejpam-4843	10	3	subject	subject	NOUN
ejpam-4843	10	4	classifications	classification	NOUN
ejpam-4843	10	5	:	:	PUNCT
ejpam-4843	10	6	26d05	26d05	NUM
ejpam-4843	10	7	,	,	PUNCT
ejpam-4843	10	8	26d07	26d07	NUM
ejpam-4843	10	9	,	,	PUNCT
ejpam-4843	10	10	26d20	26d20	NUM
ejpam-4843	10	11	key	key	ADJ
ejpam-4843	10	12	words	word	NOUN
ejpam-4843	10	13	and	and	CCONJ
ejpam-4843	10	14	phrases	phrase	NOUN
ejpam-4843	10	15	:	:	PUNCT
ejpam-4843	10	16	tensorial	tensorial	ADJ
ejpam-4843	10	17	product	product	NOUN
ejpam-4843	10	18	,	,	PUNCT
ejpam-4843	10	19	selfadjoint	selfadjoint	NOUN
ejpam-4843	10	20	operators	operator	NOUN
ejpam-4843	10	21	,	,	PUNCT
ejpam-4843	10	22	convex	convex	NOUN
ejpam-4843	10	23	functions	function	NOUN
ejpam-4843	10	24	1	1	NUM
ejpam-4843	10	25	.	.	PUNCT
ejpam-4843	11	1	introduction	introduction	NOUN
ejpam-4843	11	2	and	and	CCONJ
ejpam-4843	11	3	preliminaries	preliminary	NOUN
ejpam-4843	11	4	the	the	DET
ejpam-4843	11	5	notion	notion	NOUN
ejpam-4843	11	6	of	of	ADP
ejpam-4843	11	7	a	a	DET
ejpam-4843	11	8	tensor	tensor	NOUN
ejpam-4843	11	9	has	have	VERB
ejpam-4843	11	10	its	its	PRON
ejpam-4843	11	11	origin	origin	NOUN
ejpam-4843	11	12	in	in	ADP
ejpam-4843	11	13	the	the	DET
ejpam-4843	11	14	19th	19th	ADJ
ejpam-4843	11	15	century	century	NOUN
ejpam-4843	11	16	,	,	PUNCT
ejpam-4843	11	17	where	where	SCONJ
ejpam-4843	11	18	it	it	PRON
ejpam-4843	11	19	was	be	AUX
ejpam-4843	11	20	formulated	formulate	VERB
ejpam-4843	11	21	by	by	ADP
ejpam-4843	11	22	gibbs	gibbs	PROPN
ejpam-4843	11	23	,	,	PUNCT
ejpam-4843	11	24	though	though	SCONJ
ejpam-4843	11	25	he	he	PRON
ejpam-4843	11	26	did	do	AUX
ejpam-4843	11	27	n’t	not	PART
ejpam-4843	11	28	formally	formally	ADV
ejpam-4843	11	29	use	use	VERB
ejpam-4843	11	30	the	the	DET
ejpam-4843	11	31	word	word	NOUN
ejpam-4843	11	32	tensor	tensor	NOUN
ejpam-4843	11	33	but	but	CCONJ
ejpam-4843	11	34	a	a	DET
ejpam-4843	11	35	dyadic	dyadic	NOUN
ejpam-4843	11	36	.	.	PUNCT
ejpam-4843	12	1	in	in	ADP
ejpam-4843	12	2	modern	modern	ADJ
ejpam-4843	12	3	language	language	NOUN
ejpam-4843	12	4	,	,	PUNCT
ejpam-4843	12	5	it	it	PRON
ejpam-4843	12	6	can	can	AUX
ejpam-4843	12	7	be	be	AUX
ejpam-4843	12	8	seen	see	VERB
ejpam-4843	12	9	as	as	ADP
ejpam-4843	12	10	the	the	DET
ejpam-4843	12	11	origin	origin	NOUN
ejpam-4843	12	12	of	of	ADP
ejpam-4843	12	13	the	the	DET
ejpam-4843	12	14	tensor	tensor	NOUN
ejpam-4843	12	15	definition	definition	NOUN
ejpam-4843	12	16	and	and	CCONJ
ejpam-4843	12	17	its	its	PRON
ejpam-4843	12	18	introduction	introduction	NOUN
ejpam-4843	12	19	to	to	ADP
ejpam-4843	12	20	the	the	DET
ejpam-4843	12	21	mathematics	mathematic	NOUN
ejpam-4843	12	22	.	.	PUNCT
ejpam-4843	13	1	interplay	interplay	NOUN
ejpam-4843	13	2	of	of	ADP
ejpam-4843	13	3	inequalities	inequality	NOUN
ejpam-4843	13	4	in	in	ADP
ejpam-4843	13	5	mathematics	mathematic	NOUN
ejpam-4843	13	6	is	be	AUX
ejpam-4843	13	7	vast	vast	ADJ
ejpam-4843	13	8	,	,	PUNCT
ejpam-4843	13	9	and	and	CCONJ
ejpam-4843	13	10	as	as	ADP
ejpam-4843	13	11	such	such	ADJ
ejpam-4843	13	12	it	it	PRON
ejpam-4843	13	13	has	have	VERB
ejpam-4843	13	14	applications	application	NOUN
ejpam-4843	13	15	in	in	ADP
ejpam-4843	13	16	tensors	tensor	NOUN
ejpam-4843	13	17	as	as	ADV
ejpam-4843	13	18	well	well	ADV
ejpam-4843	13	19	.	.	PUNCT
ejpam-4843	14	1	mathematics	mathematic	NOUN
ejpam-4843	14	2	and	and	CCONJ
ejpam-4843	14	3	other	other	ADJ
ejpam-4843	14	4	scientific	scientific	ADJ
ejpam-4843	14	5	fields	field	NOUN
ejpam-4843	14	6	are	be	AUX
ejpam-4843	14	7	highly	highly	ADV
ejpam-4843	14	8	influenced	influence	VERB
ejpam-4843	14	9	by	by	ADP
ejpam-4843	14	10	inequalities	inequality	NOUN
ejpam-4843	14	11	.	.	PUNCT
ejpam-4843	15	1	many	many	ADJ
ejpam-4843	15	2	types	type	NOUN
ejpam-4843	15	3	of	of	ADP
ejpam-4843	15	4	inequalities	inequality	NOUN
ejpam-4843	15	5	exist	exist	VERB
ejpam-4843	15	6	,	,	PUNCT
ejpam-4843	15	7	but	but	CCONJ
ejpam-4843	15	8	those	those	PRON
ejpam-4843	15	9	involving	involve	VERB
ejpam-4843	15	10	jensen	jensen	PROPN
ejpam-4843	15	11	,	,	PUNCT
ejpam-4843	15	12	ostrowski	ostrowski	ADJ
ejpam-4843	15	13	,	,	PUNCT
ejpam-4843	15	14	hermite	hermite	ADJ
ejpam-4843	15	15	–	–	PUNCT
ejpam-4843	15	16	hadamard	hadamard	ADJ
ejpam-4843	15	17	,	,	PUNCT
ejpam-4843	15	18	and	and	CCONJ
ejpam-4843	15	19	minkowski	minkowski	PROPN
ejpam-4843	15	20	hold	hold	VERB
ejpam-4843	15	21	particular	particular	ADJ
ejpam-4843	15	22	significance	significance	NOUN
ejpam-4843	15	23	among	among	ADP
ejpam-4843	15	24	them	they	PRON
ejpam-4843	15	25	.	.	PUNCT
ejpam-4843	16	1	more	more	ADJ
ejpam-4843	16	2	about	about	ADP
ejpam-4843	16	3	inequalities	inequality	NOUN
ejpam-4843	16	4	and	and	CCONJ
ejpam-4843	16	5	its	its	PRON
ejpam-4843	16	6	history	history	NOUN
ejpam-4843	16	7	can	can	AUX
ejpam-4843	16	8	be	be	AUX
ejpam-4843	16	9	found	find	VERB
ejpam-4843	16	10	in	in	ADP
ejpam-4843	16	11	these	these	DET
ejpam-4843	16	12	books	book	NOUN
ejpam-4843	16	13	[	[	X
ejpam-4843	16	14	21	21	NUM
ejpam-4843	16	15	,	,	PUNCT
ejpam-4843	16	16	23	23	NUM
ejpam-4843	16	17	]	]	PUNCT
ejpam-4843	16	18	.	.	PUNCT
ejpam-4843	17	1	multiple	multiple	ADJ
ejpam-4843	17	2	papers	paper	NOUN
ejpam-4843	17	3	have	have	AUX
ejpam-4843	17	4	been	be	AUX
ejpam-4843	17	5	published	publish	VERB
ejpam-4843	17	6	concerning	concern	VERB
ejpam-4843	17	7	the	the	DET
ejpam-4843	17	8	generalizations	generalization	NOUN
ejpam-4843	17	9	of	of	ADP
ejpam-4843	17	10	the	the	DET
ejpam-4843	17	11	said	say	VERB
ejpam-4843	17	12	inequalities	inequality	NOUN
ejpam-4843	17	13	,	,	PUNCT
ejpam-4843	17	14	see	see	VERB
ejpam-4843	17	15	the	the	DET
ejpam-4843	17	16	following	following	NOUN
ejpam-4843	17	17	and	and	CCONJ
ejpam-4843	17	18	references	reference	NOUN
ejpam-4843	17	19	therein	therein	ADV
ejpam-4843	17	20	for	for	ADP
ejpam-4843	17	21	more	more	ADJ
ejpam-4843	17	22	information	information	NOUN
ejpam-4843	17	23	[	[	X
ejpam-4843	17	24	1–5	1–5	NUM
ejpam-4843	17	25	,	,	PUNCT
ejpam-4843	17	26	7–9	7–9	NUM
ejpam-4843	17	27	,	,	PUNCT
ejpam-4843	17	28	25–29	25–29	NOUN
ejpam-4843	17	29	]	]	PUNCT
ejpam-4843	17	30	.	.	PUNCT
ejpam-4843	18	1	since	since	SCONJ
ejpam-4843	18	2	our	our	PRON
ejpam-4843	18	3	paper	paper	NOUN
ejpam-4843	18	4	is	be	AUX
ejpam-4843	18	5	about	about	ADP
ejpam-4843	18	6	tensorial	tensorial	ADJ
ejpam-4843	18	7	ostrowski	ostrowski	ADJ
ejpam-4843	18	8	type	type	NOUN
ejpam-4843	18	9	inequalities	inequality	NOUN
ejpam-4843	18	10	,	,	PUNCT
ejpam-4843	18	11	we	we	PRON
ejpam-4843	18	12	give	give	VERB
ejpam-4843	18	13	the	the	DET
ejpam-4843	18	14	brief	brief	ADJ
ejpam-4843	18	15	introduction	introduction	NOUN
ejpam-4843	18	16	to	to	ADP
ejpam-4843	18	17	the	the	DET
ejpam-4843	18	18	topic	topic	NOUN
ejpam-4843	18	19	.	.	PUNCT
ejpam-4843	19	1	in	in	ADP
ejpam-4843	19	2	1938	1938	NUM
ejpam-4843	19	3	,	,	PUNCT
ejpam-4843	19	4	a.	a.	NOUN
ejpam-4843	19	5	ostrowski	ostrowski	NOUN
ejpam-4843	20	1	[	[	X
ejpam-4843	20	2	22	22	NUM
ejpam-4843	20	3	]	]	PUNCT
ejpam-4843	20	4	,	,	PUNCT
ejpam-4843	20	5	proved	prove	VERB
ejpam-4843	20	6	the	the	DET
ejpam-4843	20	7	following	follow	VERB
ejpam-4843	20	8	inequality	inequality	NOUN
ejpam-4843	20	9	concerning	concern	VERB
ejpam-4843	20	10	the	the	DET
ejpam-4843	20	11	distance	distance	NOUN
ejpam-4843	20	12	between	between	ADP
ejpam-4843	20	13	the	the	DET
ejpam-4843	20	14	integral	integral	ADJ
ejpam-4843	20	15	mean	mean	NOUN
ejpam-4843	20	16	1	1	NUM
ejpam-4843	20	17	b−a	b−a	NUM
ejpam-4843	20	18	∫	∫	PROPN
ejpam-4843	20	19	b	b	PROPN
ejpam-4843	20	20	a	a	DET
ejpam-4843	20	21	f(t)dt	f(t)dt	NOUN
ejpam-4843	20	22	and	and	CCONJ
ejpam-4843	20	23	the	the	DET
ejpam-4843	20	24	value	value	NOUN
ejpam-4843	20	25	f(x	f(x	PROPN
ejpam-4843	20	26	)	)	PUNCT
ejpam-4843	20	27	,	,	PUNCT
ejpam-4843	20	28	x	x	PUNCT
ejpam-4843	20	29	∈	∈	PROPN
ejpam-4843	20	30	[	[	X
ejpam-4843	20	31	a	a	X
ejpam-4843	20	32	,	,	PUNCT
ejpam-4843	20	33	b	b	NOUN
ejpam-4843	20	34	]	]	X
ejpam-4843	20	35	.	.	PUNCT
ejpam-4843	21	1	doi	doi	NOUN
ejpam-4843	21	2	:	:	PUNCT
ejpam-4843	21	3	https://doi.org/10.29020/nybg.ejpam.v16i3.4843	https://doi.org/10.29020/nybg.ejpam.v16i3.4843	PROPN
ejpam-4843	21	4	email	email	NOUN
ejpam-4843	21	5	address	address	NOUN
ejpam-4843	21	6	:	:	PUNCT
ejpam-4843	21	7	vuk.stojiljkovic999@gmail.com	vuk.stojiljkovic999@gmail.com	X
ejpam-4843	21	8	(	(	PUNCT
ejpam-4843	21	9	v.	v.	ADP
ejpam-4843	21	10	stojiljković	stojiljković	NOUN
ejpam-4843	21	11	)	)	PUNCT
ejpam-4843	21	12	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4843	21	13	1421	1421	NUM
ejpam-4843	21	14	©	©	PROPN
ejpam-4843	21	15	2023	2023	NUM
ejpam-4843	21	16	ejpam	ejpam	NOUN
ejpam-4843	21	17	all	all	DET
ejpam-4843	21	18	rights	right	NOUN
ejpam-4843	21	19	reserved	reserve	VERB
ejpam-4843	21	20	.	.	PUNCT
ejpam-4843	22	1	v.	v.	ADP
ejpam-4843	22	2	stojiljković	stojiljković	NOUN
ejpam-4843	22	3	/	/	SYM
ejpam-4843	22	4	eur	eur	PROPN
ejpam-4843	22	5	.	.	PUNCT
ejpam-4843	23	1	j.	j.	PROPN
ejpam-4843	23	2	pure	pure	PROPN
ejpam-4843	23	3	appl	appl	PROPN
ejpam-4843	23	4	.	.	PROPN
ejpam-4843	23	5	math	math	PROPN
ejpam-4843	23	6	,	,	PUNCT
ejpam-4843	23	7	16	16	NUM
ejpam-4843	23	8	(	(	PUNCT
ejpam-4843	23	9	3	3	NUM
ejpam-4843	23	10	)	)	PUNCT
ejpam-4843	23	11	(	(	PUNCT
ejpam-4843	23	12	2023	2023	NUM
ejpam-4843	23	13	)	)	PUNCT
ejpam-4843	23	14	,	,	PUNCT
ejpam-4843	23	15	1421	1421	NUM
ejpam-4843	23	16	-	-	SYM
ejpam-4843	23	17	1433	1433	NUM
ejpam-4843	23	18	1422	1422	NUM
ejpam-4843	23	19	theorem	theorem	NOUN
ejpam-4843	23	20	1	1	NUM
ejpam-4843	23	21	.	.	PUNCT
ejpam-4843	24	1	let	let	VERB
ejpam-4843	24	2	f	f	NOUN
ejpam-4843	24	3	:	:	PUNCT
ejpam-4843	25	1	[	[	X
ejpam-4843	25	2	a	a	X
ejpam-4843	25	3	,	,	PUNCT
ejpam-4843	25	4	b	b	NOUN
ejpam-4843	25	5	]	]	X
ejpam-4843	25	6	→	→	PUNCT
ejpam-4843	25	7	r	r	NOUN
ejpam-4843	25	8	be	be	AUX
ejpam-4843	25	9	continuous	continuous	ADJ
ejpam-4843	25	10	on	on	ADP
ejpam-4843	25	11	[	[	X
ejpam-4843	25	12	a	a	X
ejpam-4843	25	13	,	,	PUNCT
ejpam-4843	25	14	b	b	NOUN
ejpam-4843	25	15	]	]	PUNCT
ejpam-4843	25	16	and	and	CCONJ
ejpam-4843	25	17	differentiable	differentiable	VERB
ejpam-4843	25	18	on	on	ADP
ejpam-4843	25	19	(	(	PUNCT
ejpam-4843	25	20	a	a	DET
ejpam-4843	25	21	,	,	PUNCT
ejpam-4843	25	22	b	b	NOUN
ejpam-4843	25	23	)	)	PUNCT
ejpam-4843	26	1	such	such	ADJ
ejpam-4843	26	2	that	that	SCONJ
ejpam-4843	26	3	f	f	PROPN
ejpam-4843	26	4	′	′	NUM
ejpam-4843	26	5	:	:	PUNCT
ejpam-4843	26	6	(	(	PUNCT
ejpam-4843	26	7	a	a	DET
ejpam-4843	26	8	,	,	PUNCT
ejpam-4843	26	9	b	b	NOUN
ejpam-4843	26	10	)	)	PUNCT
ejpam-4843	26	11	→	→	SYM
ejpam-4843	26	12	r	r	NOUN
ejpam-4843	26	13	is	be	AUX
ejpam-4843	26	14	bounded	bound	VERB
ejpam-4843	26	15	on	on	ADP
ejpam-4843	26	16	(	(	PUNCT
ejpam-4843	26	17	a	a	DET
ejpam-4843	26	18	,	,	PUNCT
ejpam-4843	26	19	b	b	NOUN
ejpam-4843	26	20	)	)	PUNCT
ejpam-4843	26	21	and	and	CCONJ
ejpam-4843	26	22	∥f	∥f	PROPN
ejpam-4843	26	23	′∥∞	′∥∞	NOUN
ejpam-4843	26	24	:	:	PUNCT
ejpam-4843	26	25	=	=	SYM
ejpam-4843	26	26	supt∈(a	supt∈(a	PROPN
ejpam-4843	26	27	,	,	PUNCT
ejpam-4843	26	28	b	b	PROPN
ejpam-4843	26	29	)	)	PUNCT
ejpam-4843	26	30	|f	|f	PUNCT
ejpam-4843	27	1	′(t)|	′(t)|	X
ejpam-4843	27	2	<	<	X
ejpam-4843	28	1	+	+	X
ejpam-4843	28	2	∞.	∞.	PROPN
ejpam-4843	28	3	then	then	ADV
ejpam-4843	28	4	∣∣∣∣f(x)−	∣∣∣∣f(x)−	PROPN
ejpam-4843	28	5	1	1	NUM
ejpam-4843	28	6	b−	b−	PROPN
ejpam-4843	28	7	a	a	DET
ejpam-4843	28	8	∫	∫	PROPN
ejpam-4843	28	9	b	b	PROPN
ejpam-4843	28	10	a	a	DET
ejpam-4843	28	11	f(t)dt	f(t)dt	PROPN
ejpam-4843	28	12	∣∣∣∣	∣∣∣∣	NOUN
ejpam-4843	28	13	⩽	⩽	NOUN
ejpam-4843	28	14	[	[	X
ejpam-4843	28	15	14	14	NUM
ejpam-4843	28	16	+	+	CCONJ
ejpam-4843	28	17	(	(	PUNCT
ejpam-4843	28	18	x−	x−	PROPN
ejpam-4843	28	19	a+b	a+b	NUM
ejpam-4843	28	20	2	2	NUM
ejpam-4843	28	21	b−	b−	NOUN
ejpam-4843	28	22	a	a	PRON
ejpam-4843	28	23	)	)	PUNCT
ejpam-4843	28	24	2	2	NUM
ejpam-4843	28	25	]	]	PUNCT
ejpam-4843	28	26	∥∥f	∥∥f	PROPN
ejpam-4843	28	27	′∥∥∞	′∥∥∞	NOUN
ejpam-4843	28	28	(	(	PUNCT
ejpam-4843	28	29	b−	b−	PROPN
ejpam-4843	28	30	a	a	PRON
ejpam-4843	28	31	)	)	PUNCT
ejpam-4843	28	32	,	,	PUNCT
ejpam-4843	28	33	for	for	ADP
ejpam-4843	28	34	all	all	DET
ejpam-4843	28	35	x	x	SYM
ejpam-4843	28	36	∈	∈	PROPN
ejpam-4843	28	37	[	[	X
ejpam-4843	28	38	a	a	X
ejpam-4843	28	39	,	,	PUNCT
ejpam-4843	28	40	b	b	NOUN
ejpam-4843	28	41	]	]	PUNCT
ejpam-4843	28	42	and	and	CCONJ
ejpam-4843	28	43	the	the	DET
ejpam-4843	28	44	constant	constant	ADJ
ejpam-4843	28	45	1	1	NUM
ejpam-4843	28	46	4	4	NUM
ejpam-4843	28	47	is	be	AUX
ejpam-4843	28	48	the	the	DET
ejpam-4843	28	49	best	good	ADJ
ejpam-4843	28	50	possible	possible	ADJ
ejpam-4843	28	51	.	.	PUNCT
ejpam-4843	29	1	if	if	SCONJ
ejpam-4843	29	2	we	we	PRON
ejpam-4843	29	3	take	take	VERB
ejpam-4843	29	4	x	x	X
ejpam-4843	29	5	=	=	SYM
ejpam-4843	29	6	a+b	a+b	NUM
ejpam-4843	29	7	2	2	NUM
ejpam-4843	29	8	we	we	PRON
ejpam-4843	29	9	get	get	VERB
ejpam-4843	29	10	the	the	DET
ejpam-4843	29	11	midpoint	midpoint	NOUN
ejpam-4843	29	12	inequality∣∣∣∣f	inequality∣∣∣∣f	NOUN
ejpam-4843	29	13	(	(	PUNCT
ejpam-4843	29	14	a+	a+	NOUN
ejpam-4843	29	15	b	b	PROPN
ejpam-4843	29	16	2	2	NUM
ejpam-4843	29	17	)	)	PUNCT
ejpam-4843	29	18	−	−	PROPN
ejpam-4843	29	19	1	1	NUM
ejpam-4843	29	20	b−	b−	PROPN
ejpam-4843	29	21	a	a	DET
ejpam-4843	29	22	∫	∫	PROPN
ejpam-4843	29	23	b	b	PROPN
ejpam-4843	29	24	a	a	DET
ejpam-4843	29	25	f(t)dt	f(t)dt	PROPN
ejpam-4843	29	26	∣∣∣∣	∣∣∣∣	NOUN
ejpam-4843	29	27	⩽	⩽	ADJ
ejpam-4843	29	28	1	1	NUM
ejpam-4843	29	29	4	4	NUM
ejpam-4843	29	30	∥∥f	∥∥f	NOUN
ejpam-4843	29	31	′∥∥∞	′∥∥∞	NOUN
ejpam-4843	29	32	(	(	PUNCT
ejpam-4843	29	33	b−	b−	PROPN
ejpam-4843	29	34	a	a	PRON
ejpam-4843	29	35	)	)	PUNCT
ejpam-4843	29	36	,	,	PUNCT
ejpam-4843	29	37	with	with	SCONJ
ejpam-4843	29	38	1	1	NUM
ejpam-4843	29	39	4	4	NUM
ejpam-4843	29	40	as	as	ADV
ejpam-4843	29	41	best	good	ADJ
ejpam-4843	29	42	possible	possible	ADJ
ejpam-4843	29	43	constant	constant	ADJ
ejpam-4843	29	44	.	.	PUNCT
ejpam-4843	30	1	in	in	ADP
ejpam-4843	30	2	order	order	NOUN
ejpam-4843	30	3	to	to	PART
ejpam-4843	30	4	derive	derive	VERB
ejpam-4843	30	5	similar	similar	ADJ
ejpam-4843	30	6	inequalities	inequality	NOUN
ejpam-4843	30	7	of	of	ADP
ejpam-4843	30	8	the	the	DET
ejpam-4843	30	9	tensorial	tensorial	ADJ
ejpam-4843	30	10	type	type	NOUN
ejpam-4843	30	11	,	,	PUNCT
ejpam-4843	30	12	we	we	PRON
ejpam-4843	30	13	need	need	VERB
ejpam-4843	30	14	the	the	DET
ejpam-4843	30	15	following	follow	VERB
ejpam-4843	30	16	introduction	introduction	NOUN
ejpam-4843	30	17	and	and	CCONJ
ejpam-4843	30	18	preliminaries	preliminary	NOUN
ejpam-4843	30	19	.	.	PUNCT
ejpam-4843	31	1	let	let	VERB
ejpam-4843	31	2	i1	i1	PROPN
ejpam-4843	31	3	,	,	PUNCT
ejpam-4843	31	4	...	...	PUNCT
ejpam-4843	31	5	,	,	PUNCT
ejpam-4843	31	6	ik	ik	X
ejpam-4843	31	7	be	be	VERB
ejpam-4843	31	8	intervals	interval	NOUN
ejpam-4843	31	9	from	from	ADP
ejpam-4843	31	10	r	r	NOUN
ejpam-4843	31	11	and	and	CCONJ
ejpam-4843	31	12	let	let	VERB
ejpam-4843	31	13	f	f	PROPN
ejpam-4843	31	14	:	:	PUNCT
ejpam-4843	32	1	i1	i1	PROPN
ejpam-4843	32	2	×	×	PROPN
ejpam-4843	32	3	...	...	PUNCT
ejpam-4843	32	4	×	×	PROPN
ejpam-4843	32	5	ik	ik	PROPN
ejpam-4843	32	6	→	→	SYM
ejpam-4843	32	7	r	r	NOUN
ejpam-4843	32	8	be	be	AUX
ejpam-4843	32	9	an	an	DET
ejpam-4843	32	10	essentially	essentially	ADV
ejpam-4843	32	11	bounded	bound	VERB
ejpam-4843	32	12	real	real	ADJ
ejpam-4843	32	13	function	function	NOUN
ejpam-4843	32	14	defined	define	VERB
ejpam-4843	32	15	on	on	ADP
ejpam-4843	32	16	the	the	DET
ejpam-4843	32	17	product	product	NOUN
ejpam-4843	32	18	of	of	ADP
ejpam-4843	32	19	the	the	DET
ejpam-4843	32	20	intervals	interval	NOUN
ejpam-4843	32	21	.	.	PUNCT
ejpam-4843	33	1	let	let	VERB
ejpam-4843	33	2	a	a	DET
ejpam-4843	33	3	=	=	SYM
ejpam-4843	33	4	(	(	PUNCT
ejpam-4843	33	5	a1	a1	PROPN
ejpam-4843	33	6	,	,	PUNCT
ejpam-4843	33	7	...	...	PUNCT
ejpam-4843	33	8	,	,	PUNCT
ejpam-4843	33	9	an	an	PRON
ejpam-4843	33	10	)	)	PUNCT
ejpam-4843	33	11	be	be	AUX
ejpam-4843	33	12	a	a	DET
ejpam-4843	33	13	k	k	NOUN
ejpam-4843	33	14	-	-	NOUN
ejpam-4843	33	15	tuple	tuple	NOUN
ejpam-4843	33	16	of	of	ADP
ejpam-4843	33	17	bounded	bounded	ADJ
ejpam-4843	33	18	selfadjoint	selfadjoint	NOUN
ejpam-4843	33	19	operators	operator	NOUN
ejpam-4843	33	20	on	on	ADP
ejpam-4843	33	21	hilbert	hilbert	PROPN
ejpam-4843	33	22	spaces	space	NOUN
ejpam-4843	33	23	h1	h1	PROPN
ejpam-4843	33	24	,	,	PUNCT
ejpam-4843	33	25	...	...	PUNCT
ejpam-4843	33	26	,	,	PUNCT
ejpam-4843	33	27	hk	hk	PROPN
ejpam-4843	33	28	such	such	ADJ
ejpam-4843	33	29	that	that	SCONJ
ejpam-4843	33	30	the	the	DET
ejpam-4843	33	31	spectrum	spectrum	NOUN
ejpam-4843	33	32	of	of	ADP
ejpam-4843	33	33	ai	ai	NOUN
ejpam-4843	33	34	is	be	AUX
ejpam-4843	33	35	contained	contain	VERB
ejpam-4843	33	36	in	in	ADP
ejpam-4843	33	37	ii	ii	PROPN
ejpam-4843	33	38	for	for	ADP
ejpam-4843	33	39	i	i	PRON
ejpam-4843	33	40	=	=	NOUN
ejpam-4843	33	41	1	1	NUM
ejpam-4843	33	42	,	,	PUNCT
ejpam-4843	33	43	...	...	PUNCT
ejpam-4843	33	44	,	,	PUNCT
ejpam-4843	33	45	k.	k.	PROPN
ejpam-4843	34	1	we	we	PRON
ejpam-4843	34	2	say	say	VERB
ejpam-4843	34	3	that	that	SCONJ
ejpam-4843	34	4	such	such	DET
ejpam-4843	34	5	a	a	DET
ejpam-4843	34	6	k	k	NOUN
ejpam-4843	34	7	-	-	NOUN
ejpam-4843	34	8	tuple	tuple	NOUN
ejpam-4843	34	9	is	be	AUX
ejpam-4843	34	10	in	in	ADP
ejpam-4843	34	11	the	the	DET
ejpam-4843	34	12	domain	domain	NOUN
ejpam-4843	34	13	of	of	ADP
ejpam-4843	34	14	f	f	PROPN
ejpam-4843	34	15	.	.	PUNCT
ejpam-4843	35	1	if	if	SCONJ
ejpam-4843	35	2	ai	ai	VERB
ejpam-4843	35	3	=	=	PUNCT
ejpam-4843	35	4	∫	∫	PROPN
ejpam-4843	35	5	ii	ii	PROPN
ejpam-4843	35	6	λidei(λi	λidei(λi	PROPN
ejpam-4843	35	7	)	)	PUNCT
ejpam-4843	35	8	is	be	AUX
ejpam-4843	35	9	the	the	DET
ejpam-4843	35	10	spectral	spectral	ADJ
ejpam-4843	35	11	resolution	resolution	NOUN
ejpam-4843	35	12	of	of	ADP
ejpam-4843	35	13	ai	ai	VERB
ejpam-4843	35	14	for	for	ADP
ejpam-4843	35	15	i	i	PRON
ejpam-4843	35	16	=	=	NOUN
ejpam-4843	35	17	1	1	NUM
ejpam-4843	35	18	,	,	PUNCT
ejpam-4843	35	19	...	...	PUNCT
ejpam-4843	35	20	,	,	PUNCT
ejpam-4843	35	21	k	k	X
ejpam-4843	35	22	by	by	ADP
ejpam-4843	35	23	following	follow	VERB
ejpam-4843	35	24	[	[	X
ejpam-4843	35	25	6	6	NUM
ejpam-4843	35	26	]	]	PUNCT
ejpam-4843	35	27	,	,	PUNCT
ejpam-4843	35	28	we	we	PRON
ejpam-4843	35	29	define	define	VERB
ejpam-4843	35	30	f(a1	f(a1	NOUN
ejpam-4843	35	31	,	,	PUNCT
ejpam-4843	35	32	...	...	PUNCT
ejpam-4843	35	33	,	,	PUNCT
ejpam-4843	35	34	ak	ak	PROPN
ejpam-4843	35	35	)	)	PUNCT
ejpam-4843	35	36	:	:	PUNCT
ejpam-4843	36	1	=	=	PROPN
ejpam-4843	36	2	∫	∫	PROPN
ejpam-4843	36	3	i1	i1	PROPN
ejpam-4843	36	4	...	...	PUNCT
ejpam-4843	36	5	∫	∫	PROPN
ejpam-4843	36	6	ik	ik	PROPN
ejpam-4843	36	7	f(λ1	f(λ1	PROPN
ejpam-4843	36	8	,	,	PUNCT
ejpam-4843	36	9	...	...	PUNCT
ejpam-4843	36	10	,	,	PUNCT
ejpam-4843	36	11	λk)de1(λ1)⊗	λk)de1(λ1)⊗	X
ejpam-4843	36	12	...	...	PUNCT
ejpam-4843	36	13	⊗	⊗	NUM
ejpam-4843	36	14	dek(λk	dek(λk	NOUN
ejpam-4843	36	15	)	)	PUNCT
ejpam-4843	36	16	as	as	SCONJ
ejpam-4843	36	17	bounded	bounded	ADJ
ejpam-4843	36	18	selfadjoint	selfadjoint	NOUN
ejpam-4843	36	19	operator	operator	NOUN
ejpam-4843	36	20	on	on	ADP
ejpam-4843	36	21	the	the	DET
ejpam-4843	36	22	tensorial	tensorial	ADJ
ejpam-4843	36	23	product	product	NOUN
ejpam-4843	36	24	h1	h1	NOUN
ejpam-4843	36	25	⊗	⊗	PROPN
ejpam-4843	36	26	...	...	PUNCT
ejpam-4843	37	1	⊗hk	⊗hk	NUM
ejpam-4843	37	2	.	.	PUNCT
ejpam-4843	38	1	if	if	SCONJ
ejpam-4843	38	2	the	the	DET
ejpam-4843	38	3	hilbert	hilbert	NOUN
ejpam-4843	38	4	spaces	space	NOUN
ejpam-4843	38	5	are	be	AUX
ejpam-4843	38	6	of	of	ADP
ejpam-4843	38	7	finite	finite	ADJ
ejpam-4843	38	8	dimension	dimension	NOUN
ejpam-4843	38	9	,	,	PUNCT
ejpam-4843	38	10	then	then	ADV
ejpam-4843	38	11	the	the	DET
ejpam-4843	38	12	above	above	ADJ
ejpam-4843	38	13	integrals	integral	NOUN
ejpam-4843	38	14	become	become	VERB
ejpam-4843	38	15	finite	finite	ADJ
ejpam-4843	38	16	sums	sum	NOUN
ejpam-4843	38	17	,	,	PUNCT
ejpam-4843	38	18	and	and	CCONJ
ejpam-4843	38	19	we	we	PRON
ejpam-4843	38	20	may	may	AUX
ejpam-4843	38	21	consider	consider	VERB
ejpam-4843	38	22	the	the	DET
ejpam-4843	38	23	functional	functional	ADJ
ejpam-4843	38	24	calculus	calculus	NOUN
ejpam-4843	38	25	for	for	ADP
ejpam-4843	38	26	arbitrary	arbitrary	ADJ
ejpam-4843	38	27	real	real	ADJ
ejpam-4843	38	28	functions	function	NOUN
ejpam-4843	38	29	.	.	PUNCT
ejpam-4843	39	1	this	this	DET
ejpam-4843	39	2	construction	construction	NOUN
ejpam-4843	39	3	extends	extend	VERB
ejpam-4843	39	4	the	the	DET
ejpam-4843	39	5	definition	definition	NOUN
ejpam-4843	39	6	of	of	ADP
ejpam-4843	39	7	kornyi	kornyi	PROPN
ejpam-4843	40	1	[	[	X
ejpam-4843	40	2	20	20	NUM
ejpam-4843	40	3	]	]	PUNCT
ejpam-4843	40	4	for	for	ADP
ejpam-4843	40	5	functions	function	NOUN
ejpam-4843	40	6	of	of	ADP
ejpam-4843	40	7	two	two	NUM
ejpam-4843	40	8	variables	variable	NOUN
ejpam-4843	41	1	and	and	CCONJ
ejpam-4843	41	2	have	have	VERB
ejpam-4843	41	3	the	the	DET
ejpam-4843	41	4	property	property	NOUN
ejpam-4843	41	5	that	that	DET
ejpam-4843	41	6	f(a1	f(a1	NOUN
ejpam-4843	41	7	,	,	PUNCT
ejpam-4843	41	8	...	...	PUNCT
ejpam-4843	41	9	,	,	PUNCT
ejpam-4843	41	10	ak	ak	PROPN
ejpam-4843	41	11	)	)	PUNCT
ejpam-4843	41	12	=	=	NUM
ejpam-4843	41	13	f1(a1)⊗	f1(a1)⊗	NOUN
ejpam-4843	41	14	...	...	PUNCT
ejpam-4843	42	1	⊗	⊗	PROPN
ejpam-4843	42	2	fk(ak	fk(ak	PROPN
ejpam-4843	42	3	)	)	PUNCT
ejpam-4843	42	4	,	,	PUNCT
ejpam-4843	42	5	whenever	whenever	SCONJ
ejpam-4843	42	6	f	f	PROPN
ejpam-4843	42	7	can	can	AUX
ejpam-4843	42	8	be	be	AUX
ejpam-4843	42	9	separated	separate	VERB
ejpam-4843	42	10	as	as	ADP
ejpam-4843	42	11	a	a	DET
ejpam-4843	42	12	product	product	NOUN
ejpam-4843	42	13	f(t1	f(t1	NOUN
ejpam-4843	42	14	,	,	PUNCT
ejpam-4843	42	15	...	...	PUNCT
ejpam-4843	42	16	,	,	PUNCT
ejpam-4843	42	17	tk	tk	PROPN
ejpam-4843	42	18	)	)	PUNCT
ejpam-4843	42	19	=	=	SYM
ejpam-4843	42	20	f1(t1)	f1(t1)	NOUN
ejpam-4843	42	21	...	...	PUNCT
ejpam-4843	42	22	fk(tk	fk(tk	PROPN
ejpam-4843	42	23	)	)	PUNCT
ejpam-4843	42	24	of	of	ADP
ejpam-4843	42	25	k	k	PROPN
ejpam-4843	42	26	functions	function	NOUN
ejpam-4843	42	27	each	each	PRON
ejpam-4843	42	28	depending	depend	VERB
ejpam-4843	42	29	on	on	ADP
ejpam-4843	42	30	only	only	ADV
ejpam-4843	42	31	one	one	NUM
ejpam-4843	42	32	variable	variable	NOUN
ejpam-4843	42	33	.	.	PUNCT
ejpam-4843	43	1	since	since	SCONJ
ejpam-4843	43	2	we	we	PRON
ejpam-4843	43	3	will	will	AUX
ejpam-4843	43	4	be	be	AUX
ejpam-4843	43	5	using	use	VERB
ejpam-4843	43	6	tensorial	tensorial	ADJ
ejpam-4843	43	7	products	product	NOUN
ejpam-4843	43	8	,	,	PUNCT
ejpam-4843	43	9	we	we	PRON
ejpam-4843	43	10	will	will	AUX
ejpam-4843	43	11	define	define	VERB
ejpam-4843	43	12	in	in	ADP
ejpam-4843	43	13	the	the	DET
ejpam-4843	43	14	following	follow	VERB
ejpam-4843	43	15	what	what	PRON
ejpam-4843	43	16	tensors	tensor	NOUN
ejpam-4843	43	17	and	and	CCONJ
ejpam-4843	43	18	tensorial	tensorial	ADJ
ejpam-4843	43	19	products	product	NOUN
ejpam-4843	43	20	are	be	AUX
ejpam-4843	43	21	in	in	ADP
ejpam-4843	43	22	short	short	ADJ
ejpam-4843	43	23	,	,	PUNCT
ejpam-4843	43	24	for	for	ADP
ejpam-4843	43	25	more	more	ADJ
ejpam-4843	43	26	consult	consult	VERB
ejpam-4843	43	27	the	the	DET
ejpam-4843	43	28	following	follow	VERB
ejpam-4843	43	29	book	book	NOUN
ejpam-4843	43	30	[	[	X
ejpam-4843	43	31	17	17	NUM
ejpam-4843	43	32	]	]	PUNCT
ejpam-4843	43	33	.	.	PUNCT
ejpam-4843	44	1	let	let	VERB
ejpam-4843	44	2	u	u	NOUN
ejpam-4843	44	3	,	,	PUNCT
ejpam-4843	44	4	v	v	NOUN
ejpam-4843	44	5	and	and	CCONJ
ejpam-4843	44	6	w	w	PROPN
ejpam-4843	44	7	be	be	PROPN
ejpam-4843	44	8	vector	vector	NOUN
ejpam-4843	44	9	spaces	space	NOUN
ejpam-4843	44	10	over	over	ADP
ejpam-4843	44	11	the	the	DET
ejpam-4843	44	12	same	same	ADJ
ejpam-4843	44	13	field	field	NOUN
ejpam-4843	44	14	f	f	NOUN
ejpam-4843	44	15	.	.	PUNCT
ejpam-4843	45	1	a	a	DET
ejpam-4843	45	2	mapping	mapping	NOUN
ejpam-4843	45	3	φ	φ	NOUN
ejpam-4843	45	4	:	:	PUNCT
ejpam-4843	45	5	u	u	PRON
ejpam-4843	45	6	×	×	PROPN
ejpam-4843	45	7	v	v	INTJ
ejpam-4843	45	8	→	→	SYM
ejpam-4843	45	9	w	w	PROPN
ejpam-4843	45	10	is	be	AUX
ejpam-4843	45	11	called	call	VERB
ejpam-4843	45	12	a	a	DET
ejpam-4843	45	13	bilinear	bilinear	NOUN
ejpam-4843	45	14	mapping	mapping	NOUN
ejpam-4843	45	15	if	if	SCONJ
ejpam-4843	45	16	it	it	PRON
ejpam-4843	45	17	is	be	AUX
ejpam-4843	45	18	linear	linear	ADJ
ejpam-4843	45	19	in	in	ADP
ejpam-4843	45	20	each	each	DET
ejpam-4843	45	21	variable	variable	NOUN
ejpam-4843	45	22	separately	separately	ADV
ejpam-4843	45	23	.	.	PUNCT
ejpam-4843	46	1	namely	namely	ADV
ejpam-4843	46	2	,	,	PUNCT
ejpam-4843	46	3	for	for	ADP
ejpam-4843	46	4	all	all	DET
ejpam-4843	46	5	u	u	NOUN
ejpam-4843	46	6	,	,	PUNCT
ejpam-4843	46	7	u1	u1	NOUN
ejpam-4843	46	8	,	,	PUNCT
ejpam-4843	46	9	u2	u2	PROPN
ejpam-4843	46	10	∈	∈	PROPN
ejpam-4843	46	11	u	u	PROPN
ejpam-4843	46	12	,	,	PUNCT
ejpam-4843	46	13	v	v	NOUN
ejpam-4843	46	14	,	,	PUNCT
ejpam-4843	46	15	v1	v1	NOUN
ejpam-4843	46	16	,	,	PUNCT
ejpam-4843	46	17	v2	v2	PROPN
ejpam-4843	46	18	∈	∈	PROPN
ejpam-4843	46	19	v	v	NOUN
ejpam-4843	46	20	and	and	CCONJ
ejpam-4843	46	21	a	a	DET
ejpam-4843	46	22	,	,	PUNCT
ejpam-4843	46	23	b	b	PROPN
ejpam-4843	46	24	∈	∈	PROPN
ejpam-4843	46	25	f	f	X
ejpam-4843	46	26	,	,	PUNCT
ejpam-4843	46	27	φ(au1	φ(au1	PROPN
ejpam-4843	46	28	+	+	CCONJ
ejpam-4843	46	29	bu2	bu2	PROPN
ejpam-4843	46	30	,	,	PUNCT
ejpam-4843	46	31	v	v	NOUN
ejpam-4843	46	32	)	)	PUNCT
ejpam-4843	46	33	=	=	SYM
ejpam-4843	46	34	aφ(u1	aφ(u1	NOUN
ejpam-4843	46	35	,	,	PUNCT
ejpam-4843	46	36	v	v	NOUN
ejpam-4843	46	37	)	)	PUNCT
ejpam-4843	46	38	+	+	CCONJ
ejpam-4843	46	39	bφ(u2	bφ(u2	PROPN
ejpam-4843	46	40	,	,	PUNCT
ejpam-4843	46	41	v	v	NOUN
ejpam-4843	46	42	)	)	PUNCT
ejpam-4843	46	43	,	,	PUNCT
ejpam-4843	46	44	φ(u	φ(u	PROPN
ejpam-4843	46	45	,	,	PUNCT
ejpam-4843	46	46	av1	av1	PROPN
ejpam-4843	46	47	+	+	ADJ
ejpam-4843	46	48	bv2	bv2	NOUN
ejpam-4843	46	49	)	)	PUNCT
ejpam-4843	46	50	=	=	SYM
ejpam-4843	46	51	aφ(u	aφ(u	NOUN
ejpam-4843	46	52	,	,	PUNCT
ejpam-4843	46	53	v1	v1	NOUN
ejpam-4843	46	54	)	)	PUNCT
ejpam-4843	46	55	+	+	NUM
ejpam-4843	46	56	bφ(u	bφ(u	NOUN
ejpam-4843	46	57	,	,	PUNCT
ejpam-4843	46	58	v2	v2	PROPN
ejpam-4843	46	59	)	)	PUNCT
ejpam-4843	46	60	.	.	PUNCT
ejpam-4843	47	1	if	if	SCONJ
ejpam-4843	47	2	w	w	PROPN
ejpam-4843	47	3	=	=	SYM
ejpam-4843	47	4	f	f	PROPN
ejpam-4843	47	5	,	,	PUNCT
ejpam-4843	47	6	a	a	DET
ejpam-4843	47	7	bilinear	bilinear	NOUN
ejpam-4843	47	8	mapping	mapping	NOUN
ejpam-4843	47	9	φ	φ	NOUN
ejpam-4843	47	10	:	:	PUNCT
ejpam-4843	47	11	u	u	NOUN
ejpam-4843	47	12	×	×	PROPN
ejpam-4843	47	13	v	v	PROPN
ejpam-4843	47	14	→	→	SYM
ejpam-4843	47	15	f	f	X
ejpam-4843	47	16	is	be	AUX
ejpam-4843	47	17	v.	v.	ADP
ejpam-4843	47	18	stojiljković	stojiljković	NOUN
ejpam-4843	47	19	/	/	SYM
ejpam-4843	47	20	eur	eur	PROPN
ejpam-4843	47	21	.	.	PUNCT
ejpam-4843	48	1	j.	j.	PROPN
ejpam-4843	48	2	pure	pure	PROPN
ejpam-4843	48	3	appl	appl	PROPN
ejpam-4843	48	4	.	.	PROPN
ejpam-4843	48	5	math	math	PROPN
ejpam-4843	48	6	,	,	PUNCT
ejpam-4843	48	7	16	16	NUM
ejpam-4843	48	8	(	(	PUNCT
ejpam-4843	48	9	3	3	NUM
ejpam-4843	48	10	)	)	PUNCT
ejpam-4843	48	11	(	(	PUNCT
ejpam-4843	48	12	2023	2023	NUM
ejpam-4843	48	13	)	)	PUNCT
ejpam-4843	48	14	,	,	PUNCT
ejpam-4843	48	15	1421	1421	NUM
ejpam-4843	48	16	-	-	SYM
ejpam-4843	48	17	1433	1433	NUM
ejpam-4843	48	18	1423	1423	NUM
ejpam-4843	48	19	called	call	VERB
ejpam-4843	48	20	a	a	DET
ejpam-4843	48	21	bilinear	bilinear	NOUN
ejpam-4843	48	22	function	function	NOUN
ejpam-4843	48	23	.	.	PUNCT
ejpam-4843	49	1	let	let	VERB
ejpam-4843	50	1	⊗	⊗	NOUN
ejpam-4843	50	2	:	:	PUNCT
ejpam-4843	50	3	u	u	PRON
ejpam-4843	50	4	×	×	PROPN
ejpam-4843	50	5	v	v	INTJ
ejpam-4843	50	6	→	→	SYM
ejpam-4843	50	7	w	w	X
ejpam-4843	50	8	be	be	AUX
ejpam-4843	50	9	a	a	DET
ejpam-4843	50	10	bilinear	bilinear	ADJ
ejpam-4843	50	11	mapping	mapping	NOUN
ejpam-4843	50	12	.	.	PUNCT
ejpam-4843	51	1	the	the	DET
ejpam-4843	51	2	pair	pair	NOUN
ejpam-4843	51	3	(	(	PUNCT
ejpam-4843	51	4	w,⊗	w,⊗	NOUN
ejpam-4843	51	5	)	)	PUNCT
ejpam-4843	51	6	is	be	AUX
ejpam-4843	51	7	called	call	VERB
ejpam-4843	51	8	a	a	DET
ejpam-4843	51	9	tensor	tensor	NOUN
ejpam-4843	51	10	product	product	NOUN
ejpam-4843	51	11	space	space	NOUN
ejpam-4843	51	12	of	of	ADP
ejpam-4843	51	13	u	u	NOUN
ejpam-4843	51	14	and	and	CCONJ
ejpam-4843	51	15	v	v	NOUN
ejpam-4843	51	16	if	if	SCONJ
ejpam-4843	51	17	it	it	PRON
ejpam-4843	51	18	satisfies	satisfy	VERB
ejpam-4843	51	19	the	the	DET
ejpam-4843	51	20	following	follow	VERB
ejpam-4843	51	21	conditions	condition	NOUN
ejpam-4843	51	22	:	:	PUNCT
ejpam-4843	51	23	1	1	X
ejpam-4843	51	24	.	.	X
ejpam-4843	51	25	generating	generate	VERB
ejpam-4843	51	26	property	property	NOUN
ejpam-4843	51	27	<	<	X
ejpam-4843	51	28	im⊗	im⊗	PROPN
ejpam-4843	51	29	>	>	PUNCT
ejpam-4843	51	30	=	=	PROPN
ejpam-4843	51	31	w	w	NOUN
ejpam-4843	51	32	;	;	PUNCT
ejpam-4843	51	33	2	2	X
ejpam-4843	51	34	.	.	X
ejpam-4843	51	35	maximal	maximal	ADJ
ejpam-4843	51	36	span	span	NOUN
ejpam-4843	51	37	property	property	NOUN
ejpam-4843	51	38	dim	dim	NOUN
ejpam-4843	51	39	<	<	X
ejpam-4843	51	40	im⊗	im⊗	PROPN
ejpam-4843	51	41	>	>	PUNCT
ejpam-4843	51	42	=	=	PUNCT
ejpam-4843	51	43	dimu	dimu	NOUN
ejpam-4843	51	44	·	·	PUNCT
ejpam-4843	51	45	dimv	dimv	NOUN
ejpam-4843	51	46	.	.	PUNCT
ejpam-4843	52	1	the	the	DET
ejpam-4843	52	2	member	member	NOUN
ejpam-4843	52	3	w	w	PROPN
ejpam-4843	52	4	∈w	∈w	PROPN
ejpam-4843	52	5	is	be	AUX
ejpam-4843	52	6	called	call	VERB
ejpam-4843	52	7	a	a	DET
ejpam-4843	52	8	tensor	tensor	NOUN
ejpam-4843	52	9	,	,	PUNCT
ejpam-4843	52	10	but	but	CCONJ
ejpam-4843	52	11	not	not	PART
ejpam-4843	52	12	all	all	DET
ejpam-4843	52	13	tensors	tensor	NOUN
ejpam-4843	52	14	in	in	ADP
ejpam-4843	52	15	w	w	PROPN
ejpam-4843	52	16	are	be	AUX
ejpam-4843	52	17	products	product	NOUN
ejpam-4843	52	18	of	of	ADP
ejpam-4843	52	19	two	two	NUM
ejpam-4843	52	20	vectors	vector	NOUN
ejpam-4843	52	21	of	of	ADP
ejpam-4843	52	22	the	the	DET
ejpam-4843	52	23	form	form	NOUN
ejpam-4843	52	24	u⊗	u⊗	NOUN
ejpam-4843	52	25	v.	v.	ADP
ejpam-4843	52	26	the	the	DET
ejpam-4843	52	27	notation	notation	NOUN
ejpam-4843	52	28	<	<	X
ejpam-4843	52	29	im⊗	im⊗	PROPN
ejpam-4843	52	30	>	>	X
ejpam-4843	52	31	denotes	denote	VERB
ejpam-4843	52	32	the	the	DET
ejpam-4843	52	33	span	span	NOUN
ejpam-4843	52	34	.	.	PUNCT
ejpam-4843	53	1	example	example	NOUN
ejpam-4843	53	2	let	let	VERB
ejpam-4843	53	3	u	u	PRON
ejpam-4843	53	4	=	=	PUNCT
ejpam-4843	53	5	(	(	PUNCT
ejpam-4843	53	6	x1	x1	PROPN
ejpam-4843	53	7	,	,	PUNCT
ejpam-4843	53	8	..	..	PUNCT
ejpam-4843	53	9	,	,	PUNCT
ejpam-4843	53	10	xm	xm	X
ejpam-4843	53	11	)	)	PUNCT
ejpam-4843	53	12	∈	∈	PROPN
ejpam-4843	53	13	rm	rm	NOUN
ejpam-4843	53	14	and	and	CCONJ
ejpam-4843	53	15	v	v	NOUN
ejpam-4843	53	16	=	=	SYM
ejpam-4843	53	17	(	(	PUNCT
ejpam-4843	53	18	y1	y1	PROPN
ejpam-4843	53	19	,	,	PUNCT
ejpam-4843	53	20	...	...	PUNCT
ejpam-4843	53	21	,	,	PUNCT
ejpam-4843	53	22	yn	yn	PROPN
ejpam-4843	53	23	)	)	PUNCT
ejpam-4843	53	24	∈	∈	PROPN
ejpam-4843	53	25	rn	rn	PROPN
ejpam-4843	53	26	.	.	PUNCT
ejpam-4843	54	1	we	we	PRON
ejpam-4843	54	2	can	can	AUX
ejpam-4843	54	3	view	view	VERB
ejpam-4843	54	4	u	u	NOUN
ejpam-4843	54	5	and	and	CCONJ
ejpam-4843	54	6	v	v	NOUN
ejpam-4843	54	7	as	as	ADP
ejpam-4843	54	8	column	column	NOUN
ejpam-4843	54	9	vectors	vector	NOUN
ejpam-4843	54	10	.	.	PUNCT
ejpam-4843	55	1	namely	namely	ADV
ejpam-4843	55	2	,	,	PUNCT
ejpam-4843	55	3	u	u	NOUN
ejpam-4843	55	4	=	=	PUNCT
ejpam-4843	55	5	x1	x1	PRON
ejpam-4843	55	6	...	...	PUNCT
ejpam-4843	55	7	xm	xm	PROPN
ejpam-4843	56	1			NUM
ejpam-4843	56	2	,	,	PUNCT
ejpam-4843	56	3	v	v	NOUN
ejpam-4843	56	4	=	=	SYM
ejpam-4843	56	5	y1	y1	PROPN
ejpam-4843	56	6	...	...	PUNCT
ejpam-4843	57	1	yn	yn	PRON
ejpam-4843	57	2			PROPN
ejpam-4843	57	3	are	be	AUX
ejpam-4843	57	4	m×	m×	PROPN
ejpam-4843	57	5	1	1	NUM
ejpam-4843	57	6	and	and	CCONJ
ejpam-4843	57	7	n×	n×	PRON
ejpam-4843	57	8	1	1	NUM
ejpam-4843	57	9	matrices	matrix	NOUN
ejpam-4843	57	10	respectively	respectively	ADV
ejpam-4843	57	11	.	.	PUNCT
ejpam-4843	58	1	we	we	PRON
ejpam-4843	58	2	define	define	VERB
ejpam-4843	58	3	⊗	⊗	PROPN
ejpam-4843	58	4	:	:	PUNCT
ejpam-4843	58	5	rm	rm	PROPN
ejpam-4843	58	6	×	×	PROPN
ejpam-4843	58	7	rn	rn	PROPN
ejpam-4843	58	8	→mm	→mm	PROPN
ejpam-4843	58	9	,	,	PUNCT
ejpam-4843	58	10	n	n	CCONJ
ejpam-4843	58	11	,	,	PUNCT
ejpam-4843	58	12	u⊗	u⊗	NOUN
ejpam-4843	58	13	v	v	NOUN
ejpam-4843	58	14	=	=	SYM
ejpam-4843	58	15	uvt	uvt	X
ejpam-4843	58	16	=	=	NOUN
ejpam-4843	58	17			NOUN
ejpam-4843	58	18	x1y1	x1y1	PUNCT
ejpam-4843	58	19	·	·	PUNCT
ejpam-4843	58	20	·	·	PUNCT
ejpam-4843	58	21	·	·	PUNCT
ejpam-4843	58	22	x1yn	x1yn	PUNCT
ejpam-4843	58	23	...	...	PUNCT
ejpam-4843	58	24	xmy1	xmy1	PROPN
ejpam-4843	58	25	·	·	PUNCT
ejpam-4843	58	26	·	·	PUNCT
ejpam-4843	58	27	·	·	PUNCT
ejpam-4843	58	28	xmyn	xmyn	X
ejpam-4843	58	29			ADP
ejpam-4843	58	30	,	,	PUNCT
ejpam-4843	58	31	an	an	DET
ejpam-4843	58	32	m×	m×	PROPN
ejpam-4843	58	33	n	n	PRON
ejpam-4843	58	34	matrix	matrix	VERB
ejpam-4843	58	35	with	with	ADP
ejpam-4843	58	36	entries	entry	NOUN
ejpam-4843	58	37	aij	aij	PROPN
ejpam-4843	58	38	=	=	SYM
ejpam-4843	58	39	xiyj	xiyj	NOUN
ejpam-4843	58	40	.	.	PUNCT
ejpam-4843	59	1	(	(	PUNCT
ejpam-4843	59	2	mm	mm	INTJ
ejpam-4843	59	3	,	,	PUNCT
ejpam-4843	59	4	n,⊗	n,⊗	PROPN
ejpam-4843	59	5	)	)	PUNCT
ejpam-4843	59	6	is	be	AUX
ejpam-4843	59	7	a	a	DET
ejpam-4843	59	8	tensor	tensor	NOUN
ejpam-4843	59	9	product	product	NOUN
ejpam-4843	59	10	space	space	NOUN
ejpam-4843	59	11	of	of	ADP
ejpam-4843	59	12	rm	rm	PROPN
ejpam-4843	59	13	and	and	CCONJ
ejpam-4843	59	14	rn	rn	PROPN
ejpam-4843	59	15	.	.	PROPN
ejpam-4843	60	1	tensors	tensor	NOUN
ejpam-4843	60	2	do	do	AUX
ejpam-4843	60	3	not	not	PART
ejpam-4843	60	4	need	need	VERB
ejpam-4843	60	5	to	to	PART
ejpam-4843	60	6	be	be	AUX
ejpam-4843	60	7	matrices	matrix	NOUN
ejpam-4843	60	8	.	.	PUNCT
ejpam-4843	61	1	this	this	PRON
ejpam-4843	61	2	is	be	AUX
ejpam-4843	61	3	just	just	ADV
ejpam-4843	61	4	one	one	NUM
ejpam-4843	61	5	model	model	NOUN
ejpam-4843	61	6	given	give	VERB
ejpam-4843	61	7	.	.	PUNCT
ejpam-4843	62	1	for	for	ADP
ejpam-4843	62	2	more	more	ADJ
ejpam-4843	62	3	consult	consult	VERB
ejpam-4843	62	4	the	the	DET
ejpam-4843	62	5	following	follow	VERB
ejpam-4843	62	6	book	book	NOUN
ejpam-4843	62	7	[	[	X
ejpam-4843	62	8	17	17	NUM
ejpam-4843	62	9	]	]	PUNCT
ejpam-4843	62	10	.	.	PUNCT
ejpam-4843	63	1	recall	recall	VERB
ejpam-4843	63	2	the	the	DET
ejpam-4843	63	3	following	follow	VERB
ejpam-4843	63	4	property	property	NOUN
ejpam-4843	63	5	of	of	ADP
ejpam-4843	63	6	the	the	DET
ejpam-4843	63	7	tensorial	tensorial	ADJ
ejpam-4843	63	8	product	product	NOUN
ejpam-4843	63	9	(	(	PUNCT
ejpam-4843	63	10	ac)⊗	ac)⊗	PROPN
ejpam-4843	63	11	(	(	PUNCT
ejpam-4843	63	12	bd	bd	NOUN
ejpam-4843	63	13	)	)	PUNCT
ejpam-4843	63	14	=	=	SYM
ejpam-4843	63	15	(	(	PUNCT
ejpam-4843	63	16	a⊗b)(c	a⊗b)(c	PROPN
ejpam-4843	63	17	⊗d	⊗d	PROPN
ejpam-4843	63	18	)	)	PUNCT
ejpam-4843	63	19	that	that	PRON
ejpam-4843	63	20	holds	hold	VERB
ejpam-4843	63	21	for	for	ADP
ejpam-4843	63	22	any	any	DET
ejpam-4843	63	23	a	a	DET
ejpam-4843	63	24	,	,	PUNCT
ejpam-4843	63	25	b	b	NOUN
ejpam-4843	63	26	,	,	PUNCT
ejpam-4843	63	27	c	c	X
ejpam-4843	63	28	,	,	PUNCT
ejpam-4843	63	29	d	d	PROPN
ejpam-4843	63	30	∈	∈	PROPN
ejpam-4843	63	31	b(h	b(h	PROPN
ejpam-4843	63	32	)	)	PUNCT
ejpam-4843	63	33	.	.	PUNCT
ejpam-4843	64	1	from	from	ADP
ejpam-4843	64	2	the	the	DET
ejpam-4843	64	3	property	property	NOUN
ejpam-4843	64	4	we	we	PRON
ejpam-4843	64	5	can	can	AUX
ejpam-4843	64	6	deduce	deduce	VERB
ejpam-4843	64	7	easily	easily	ADV
ejpam-4843	64	8	the	the	DET
ejpam-4843	64	9	following	follow	VERB
ejpam-4843	64	10	consequences	consequence	NOUN
ejpam-4843	64	11	an	an	DET
ejpam-4843	64	12	⊗bn	⊗bn	ADJ
ejpam-4843	64	13	=	=	SYM
ejpam-4843	64	14	(	(	PUNCT
ejpam-4843	64	15	a⊗b)n	a⊗b)n	PROPN
ejpam-4843	64	16	,	,	PUNCT
ejpam-4843	64	17	n	n	CCONJ
ejpam-4843	64	18	⩾	⩾	NOUN
ejpam-4843	64	19	0	0	NUM
ejpam-4843	64	20	,	,	PUNCT
ejpam-4843	64	21	(	(	PUNCT
ejpam-4843	64	22	a⊗	a⊗	NOUN
ejpam-4843	64	23	1)(1⊗b	1)(1⊗b	NUM
ejpam-4843	64	24	)	)	PUNCT
ejpam-4843	64	25	=	=	PUNCT
ejpam-4843	65	1	(	(	PUNCT
ejpam-4843	65	2	1⊗b)(a⊗	1⊗b)(a⊗	NUM
ejpam-4843	65	3	1	1	NUM
ejpam-4843	65	4	)	)	PUNCT
ejpam-4843	65	5	=	=	SYM
ejpam-4843	65	6	a⊗b	a⊗b	PROPN
ejpam-4843	65	7	,	,	PUNCT
ejpam-4843	65	8	which	which	PRON
ejpam-4843	65	9	can	can	AUX
ejpam-4843	65	10	be	be	AUX
ejpam-4843	65	11	extended	extend	VERB
ejpam-4843	65	12	,	,	PUNCT
ejpam-4843	65	13	for	for	ADP
ejpam-4843	65	14	two	two	NUM
ejpam-4843	65	15	natural	natural	ADJ
ejpam-4843	65	16	numbers	number	NOUN
ejpam-4843	65	17	m	m	PROPN
ejpam-4843	65	18	,	,	PUNCT
ejpam-4843	65	19	n	n	CCONJ
ejpam-4843	65	20	we	we	PRON
ejpam-4843	65	21	have	have	VERB
ejpam-4843	65	22	(	(	PUNCT
ejpam-4843	65	23	a⊗	a⊗	NOUN
ejpam-4843	65	24	1)n(1⊗b)m	1)n(1⊗b)m	NUM
ejpam-4843	65	25	=	=	SYM
ejpam-4843	65	26	(	(	PUNCT
ejpam-4843	65	27	1⊗b)n(a⊗	1⊗b)n(a⊗	NUM
ejpam-4843	65	28	1)m	1)m	NUM
ejpam-4843	65	29	=	=	PUNCT
ejpam-4843	65	30	an	an	DET
ejpam-4843	65	31	⊗bm	⊗bm	NOUN
ejpam-4843	65	32	.	.	PUNCT
ejpam-4843	66	1	the	the	DET
ejpam-4843	66	2	current	current	ADJ
ejpam-4843	66	3	research	research	NOUN
ejpam-4843	66	4	concerning	concern	VERB
ejpam-4843	66	5	tensorial	tensorial	ADJ
ejpam-4843	66	6	inequalities	inequality	NOUN
ejpam-4843	66	7	can	can	AUX
ejpam-4843	66	8	be	be	AUX
ejpam-4843	66	9	seen	see	VERB
ejpam-4843	66	10	in	in	ADP
ejpam-4843	66	11	the	the	DET
ejpam-4843	66	12	following	follow	VERB
ejpam-4843	66	13	papers	paper	NOUN
ejpam-4843	66	14	,	,	PUNCT
ejpam-4843	66	15	[	[	X
ejpam-4843	66	16	10–14	10–14	NUM
ejpam-4843	66	17	,	,	PUNCT
ejpam-4843	66	18	16	16	NUM
ejpam-4843	66	19	]	]	PUNCT
ejpam-4843	66	20	.	.	PUNCT
ejpam-4843	67	1	the	the	DET
ejpam-4843	67	2	following	follow	VERB
ejpam-4843	67	3	lemma	lemma	PROPN
ejpam-4843	67	4	which	which	PRON
ejpam-4843	67	5	we	we	PRON
ejpam-4843	67	6	require	require	VERB
ejpam-4843	67	7	can	can	AUX
ejpam-4843	67	8	be	be	AUX
ejpam-4843	67	9	found	find	VERB
ejpam-4843	67	10	in	in	ADP
ejpam-4843	67	11	a	a	DET
ejpam-4843	67	12	paper	paper	NOUN
ejpam-4843	67	13	of	of	ADP
ejpam-4843	67	14	silvestru	silvestru	NOUN
ejpam-4843	67	15	[	[	X
ejpam-4843	67	16	15	15	NUM
ejpam-4843	67	17	]	]	PUNCT
ejpam-4843	67	18	.	.	PUNCT
ejpam-4843	68	1	v.	v.	ADP
ejpam-4843	68	2	stojiljković	stojiljković	NOUN
ejpam-4843	68	3	/	/	SYM
ejpam-4843	68	4	eur	eur	PROPN
ejpam-4843	68	5	.	.	PUNCT
ejpam-4843	69	1	j.	j.	PROPN
ejpam-4843	69	2	pure	pure	PROPN
ejpam-4843	69	3	appl	appl	PROPN
ejpam-4843	69	4	.	.	PROPN
ejpam-4843	69	5	math	math	PROPN
ejpam-4843	69	6	,	,	PUNCT
ejpam-4843	69	7	16	16	NUM
ejpam-4843	69	8	(	(	PUNCT
ejpam-4843	69	9	3	3	NUM
ejpam-4843	69	10	)	)	PUNCT
ejpam-4843	69	11	(	(	PUNCT
ejpam-4843	69	12	2023	2023	NUM
ejpam-4843	69	13	)	)	PUNCT
ejpam-4843	69	14	,	,	PUNCT
ejpam-4843	69	15	1421	1421	NUM
ejpam-4843	69	16	-	-	SYM
ejpam-4843	69	17	1433	1433	NUM
ejpam-4843	69	18	1424	1424	NUM
ejpam-4843	69	19	lemma	lemma	PROPN
ejpam-4843	69	20	1	1	NUM
ejpam-4843	69	21	.	.	PUNCT
ejpam-4843	69	22	assume	assume	VERB
ejpam-4843	69	23	a	a	PRON
ejpam-4843	69	24	and	and	CCONJ
ejpam-4843	69	25	b	b	NOUN
ejpam-4843	69	26	are	be	AUX
ejpam-4843	69	27	selfadjoint	selfadjoint	VERB
ejpam-4843	69	28	operators	operator	NOUN
ejpam-4843	69	29	with	with	ADP
ejpam-4843	69	30	sp(a	sp(a	NOUN
ejpam-4843	69	31	)	)	PUNCT
ejpam-4843	70	1	⊂	⊂	PROPN
ejpam-4843	71	1	i	i	PRON
ejpam-4843	71	2	,	,	PUNCT
ejpam-4843	71	3	sp(b	sp(b	PROPN
ejpam-4843	71	4	)	)	PUNCT
ejpam-4843	72	1	⊂	⊂	PROPN
ejpam-4843	72	2	j	j	PROPN
ejpam-4843	72	3	and	and	CCONJ
ejpam-4843	72	4	having	have	VERB
ejpam-4843	72	5	the	the	DET
ejpam-4843	72	6	spectral	spectral	ADJ
ejpam-4843	72	7	resolutions	resolution	NOUN
ejpam-4843	72	8	.	.	PUNCT
ejpam-4843	73	1	let	let	VERB
ejpam-4843	73	2	f	f	PROPN
ejpam-4843	73	3	;	;	PUNCT
ejpam-4843	73	4	h	h	PROPN
ejpam-4843	73	5	be	be	AUX
ejpam-4843	73	6	continuous	continuous	ADJ
ejpam-4843	73	7	on	on	ADP
ejpam-4843	73	8	i	i	PRON
ejpam-4843	73	9	,	,	PUNCT
ejpam-4843	73	10	g	g	PROPN
ejpam-4843	73	11	,	,	PUNCT
ejpam-4843	73	12	k	k	X
ejpam-4843	73	13	continuous	continuous	ADJ
ejpam-4843	73	14	on	on	ADP
ejpam-4843	73	15	j	j	PROPN
ejpam-4843	73	16	and	and	CCONJ
ejpam-4843	73	17	ϕ	ϕ	PROPN
ejpam-4843	73	18	and	and	CCONJ
ejpam-4843	73	19	ψ	ψ	AUX
ejpam-4843	73	20	continuous	continuous	ADJ
ejpam-4843	73	21	on	on	ADP
ejpam-4843	73	22	an	an	DET
ejpam-4843	73	23	interval	interval	NOUN
ejpam-4843	73	24	k	k	PROPN
ejpam-4843	74	1	that	that	PRON
ejpam-4843	74	2	contains	contain	VERB
ejpam-4843	74	3	the	the	DET
ejpam-4843	74	4	sum	sum	NOUN
ejpam-4843	74	5	of	of	ADP
ejpam-4843	74	6	the	the	DET
ejpam-4843	74	7	intervals	interval	NOUN
ejpam-4843	74	8	f(i	f(i	NUM
ejpam-4843	74	9	)	)	PUNCT
ejpam-4843	75	1	+	+	CCONJ
ejpam-4843	75	2	g(j);h(i	g(j);h(i	NOUN
ejpam-4843	75	3	)	)	PUNCT
ejpam-4843	76	1	+	+	CCONJ
ejpam-4843	76	2	k(j),then	k(j),then	PROPN
ejpam-4843	76	3	ϕ(f(a)⊗	ϕ(f(a)⊗	VERB
ejpam-4843	76	4	1	1	NUM
ejpam-4843	77	1	+	+	SYM
ejpam-4843	77	2	1⊗	1⊗	NUM
ejpam-4843	77	3	g(b))ψ(h(a)⊗	g(b))ψ(h(a)⊗	NOUN
ejpam-4843	77	4	1	1	NUM
ejpam-4843	77	5	+	+	SYM
ejpam-4843	77	6	1⊗	1⊗	NUM
ejpam-4843	77	7	k(b	k(b	PROPN
ejpam-4843	77	8	)	)	PUNCT
ejpam-4843	77	9	)	)	PUNCT
ejpam-4843	78	1	=	=	SYM
ejpam-4843	78	2	∫	∫	PROPN
ejpam-4843	79	1	i	i	PRON
ejpam-4843	79	2	∫	∫	PROPN
ejpam-4843	79	3	j	j	PROPN
ejpam-4843	79	4	ϕ(f(t	ϕ(f(t	PROPN
ejpam-4843	79	5	)	)	PUNCT
ejpam-4843	79	6	+	+	CCONJ
ejpam-4843	79	7	g(s))ψ(h(t	g(s))ψ(h(t	NUM
ejpam-4843	79	8	)	)	PUNCT
ejpam-4843	79	9	+	+	CCONJ
ejpam-4843	79	10	k(s))det	k(s))det	PROPN
ejpam-4843	79	11	⊗	⊗	PROPN
ejpam-4843	79	12	dfs	dfs	PROPN
ejpam-4843	79	13	.	.	PUNCT
ejpam-4843	80	1	in	in	ADP
ejpam-4843	80	2	the	the	DET
ejpam-4843	80	3	paper	paper	NOUN
ejpam-4843	80	4	written	write	VERB
ejpam-4843	80	5	by	by	ADP
ejpam-4843	80	6	ozdemir	ozdemir	PROPN
ejpam-4843	80	7	et	et	PROPN
ejpam-4843	80	8	al	al	PROPN
ejpam-4843	80	9	.	.	PUNCT
ejpam-4843	81	1	[	[	X
ejpam-4843	81	2	19	19	NUM
ejpam-4843	81	3	]	]	PUNCT
ejpam-4843	81	4	,	,	PUNCT
ejpam-4843	81	5	the	the	DET
ejpam-4843	81	6	authors	author	NOUN
ejpam-4843	81	7	used	use	VERB
ejpam-4843	81	8	the	the	DET
ejpam-4843	81	9	following	follow	VERB
ejpam-4843	81	10	lemma	lemma	PROPN
ejpam-4843	81	11	.	.	PUNCT
ejpam-4843	82	1	we	we	PRON
ejpam-4843	82	2	will	will	AUX
ejpam-4843	82	3	utilize	utilize	VERB
ejpam-4843	82	4	it	it	PRON
ejpam-4843	82	5	to	to	PART
ejpam-4843	82	6	produce	produce	VERB
ejpam-4843	82	7	results	result	NOUN
ejpam-4843	82	8	in	in	ADP
ejpam-4843	82	9	the	the	DET
ejpam-4843	82	10	tensorial	tensorial	ADJ
ejpam-4843	82	11	setting	setting	NOUN
ejpam-4843	82	12	.	.	PUNCT
ejpam-4843	83	1	lemma	lemma	PROPN
ejpam-4843	83	2	2	2	X
ejpam-4843	83	3	.	.	PUNCT
ejpam-4843	84	1	let	let	VERB
ejpam-4843	84	2	f	f	NOUN
ejpam-4843	84	3	:	:	PUNCT
ejpam-4843	85	1	i	i	PRON
ejpam-4843	85	2	⊂	⊂	VERB
ejpam-4843	85	3	r	r	NOUN
ejpam-4843	85	4	→	→	SYM
ejpam-4843	85	5	r	r	NOUN
ejpam-4843	85	6	be	be	AUX
ejpam-4843	85	7	a	a	DET
ejpam-4843	85	8	differentiable	differentiable	ADJ
ejpam-4843	85	9	mapping	mapping	NOUN
ejpam-4843	85	10	on	on	ADP
ejpam-4843	85	11	i0	i0	PROPN
ejpam-4843	85	12	where	where	SCONJ
ejpam-4843	85	13	a	a	DET
ejpam-4843	85	14	,	,	PUNCT
ejpam-4843	85	15	b	b	X
ejpam-4843	85	16	∈	∈	NOUN
ejpam-4843	85	17	i	i	PRON
ejpam-4843	85	18	with	with	ADP
ejpam-4843	85	19	a	a	DET
ejpam-4843	85	20	<	<	X
ejpam-4843	85	21	b.	b.	NOUN
ejpam-4843	85	22	if	if	SCONJ
ejpam-4843	85	23	f	f	PROPN
ejpam-4843	85	24	′′	′′	PROPN
ejpam-4843	85	25	∈	∈	PROPN
ejpam-4843	85	26	l[a	l[a	NOUN
ejpam-4843	85	27	,	,	PUNCT
ejpam-4843	85	28	b	b	NOUN
ejpam-4843	85	29	]	]	X
ejpam-4843	85	30	then	then	ADV
ejpam-4843	85	31	the	the	DET
ejpam-4843	85	32	following	follow	VERB
ejpam-4843	85	33	equality	equality	NOUN
ejpam-4843	85	34	holds	hold	VERB
ejpam-4843	85	35	:	:	PUNCT
ejpam-4843	85	36	1	1	NUM
ejpam-4843	85	37	b−	b−	NOUN
ejpam-4843	85	38	a	a	DET
ejpam-4843	85	39	∫	∫	PROPN
ejpam-4843	85	40	b	b	PROPN
ejpam-4843	85	41	a	a	PROPN
ejpam-4843	85	42	f(x)dx−	f(x)dx−	PROPN
ejpam-4843	85	43	f	f	PROPN
ejpam-4843	85	44	(	(	PUNCT
ejpam-4843	85	45	a+	a+	PRON
ejpam-4843	85	46	b	b	PROPN
ejpam-4843	85	47	2	2	NUM
ejpam-4843	85	48	)	)	PUNCT
ejpam-4843	85	49	=	=	SYM
ejpam-4843	86	1	(	(	PUNCT
ejpam-4843	86	2	b−	b−	PROPN
ejpam-4843	86	3	a)2	a)2	PROPN
ejpam-4843	86	4	16	16	NUM
ejpam-4843	86	5	[	[	PUNCT
ejpam-4843	86	6	∫	∫	PROPN
ejpam-4843	86	7	1	1	NUM
ejpam-4843	86	8	0	0	NUM
ejpam-4843	86	9	l2f	l2f	PROPN
ejpam-4843	86	10	′′	′′	PROPN
ejpam-4843	86	11	(	(	PUNCT
ejpam-4843	86	12	l	l	PROPN
ejpam-4843	86	13	a+	a+	X
ejpam-4843	86	14	b	b	PROPN
ejpam-4843	86	15	2	2	NUM
ejpam-4843	86	16	+	+	CCONJ
ejpam-4843	86	17	(	(	PUNCT
ejpam-4843	86	18	1−	1−	NUM
ejpam-4843	86	19	l)a	l)a	X
ejpam-4843	86	20	)	)	PUNCT
ejpam-4843	87	1	dl	dl	PROPN
ejpam-4843	88	1	+	+	NUM
ejpam-4843	88	2	∫	∫	PROPN
ejpam-4843	88	3	1	1	NUM
ejpam-4843	88	4	0	0	NUM
ejpam-4843	88	5	(	(	PUNCT
ejpam-4843	88	6	l	l	NOUN
ejpam-4843	88	7	−	−	PROPN
ejpam-4843	88	8	1)2f	1)2f	PROPN
ejpam-4843	88	9	′′	′′	PROPN
ejpam-4843	88	10	(	(	PUNCT
ejpam-4843	88	11	lb+	lb+	PROPN
ejpam-4843	88	12	(	(	PUNCT
ejpam-4843	88	13	1−	1−	NUM
ejpam-4843	88	14	l	l	NOUN
ejpam-4843	88	15	)	)	PUNCT
ejpam-4843	88	16	a+	a+	PUNCT
ejpam-4843	88	17	b	b	NOUN
ejpam-4843	88	18	2	2	X
ejpam-4843	88	19	)	)	PUNCT
ejpam-4843	88	20	dl	dl	NOUN
ejpam-4843	88	21	]	]	PUNCT
ejpam-4843	88	22	.	.	PUNCT
ejpam-4843	89	1	in	in	ADP
ejpam-4843	89	2	the	the	DET
ejpam-4843	89	3	following	following	NOUN
ejpam-4843	89	4	theorem	theorem	NOUN
ejpam-4843	89	5	,	,	PUNCT
ejpam-4843	89	6	we	we	PRON
ejpam-4843	89	7	give	give	VERB
ejpam-4843	89	8	a	a	DET
ejpam-4843	89	9	fundamental	fundamental	ADJ
ejpam-4843	89	10	result	result	NOUN
ejpam-4843	89	11	which	which	PRON
ejpam-4843	89	12	we	we	PRON
ejpam-4843	89	13	will	will	AUX
ejpam-4843	89	14	use	use	VERB
ejpam-4843	89	15	in	in	ADP
ejpam-4843	89	16	our	our	PRON
ejpam-4843	89	17	paper	paper	NOUN
ejpam-4843	89	18	to	to	PART
ejpam-4843	89	19	produce	produce	VERB
ejpam-4843	89	20	inequalities	inequality	NOUN
ejpam-4843	89	21	.	.	PUNCT
ejpam-4843	90	1	2	2	X
ejpam-4843	90	2	.	.	X
ejpam-4843	90	3	main	main	ADJ
ejpam-4843	90	4	results	result	NOUN
ejpam-4843	90	5	theorem	theorem	VERB
ejpam-4843	90	6	2	2	NUM
ejpam-4843	90	7	.	.	X
ejpam-4843	90	8	assume	assume	VERB
ejpam-4843	90	9	that	that	SCONJ
ejpam-4843	90	10	f	f	PROPN
ejpam-4843	90	11	is	be	AUX
ejpam-4843	90	12	continuously	continuously	ADV
ejpam-4843	90	13	differentiable	differentiable	ADJ
ejpam-4843	90	14	on	on	ADP
ejpam-4843	90	15	i	i	PRON
ejpam-4843	90	16	,	,	PUNCT
ejpam-4843	90	17	a	a	PRON
ejpam-4843	90	18	and	and	CCONJ
ejpam-4843	90	19	b	b	NOUN
ejpam-4843	90	20	are	be	AUX
ejpam-4843	90	21	selfadjoint	selfadjoint	VERB
ejpam-4843	90	22	operators	operator	NOUN
ejpam-4843	90	23	with	with	ADP
ejpam-4843	90	24	sp(a	sp(a	NOUN
ejpam-4843	90	25	)	)	PUNCT
ejpam-4843	90	26	,	,	PUNCT
ejpam-4843	90	27	sp(b	sp(b	PROPN
ejpam-4843	90	28	)	)	PUNCT
ejpam-4843	91	1	⊂	⊂	PROPN
ejpam-4843	92	1	i	i	PRON
ejpam-4843	92	2	,	,	PUNCT
ejpam-4843	92	3	then∫	then∫	NOUN
ejpam-4843	92	4	1	1	NUM
ejpam-4843	92	5	0	0	NUM
ejpam-4843	92	6	f((1−	f((1−	ADJ
ejpam-4843	92	7	λ)a⊗	λ)a⊗	X
ejpam-4843	92	8	1	1	NUM
ejpam-4843	93	1	+	+	CCONJ
ejpam-4843	93	2	λ1⊗b)dλ−	λ1⊗b)dλ−	PROPN
ejpam-4843	93	3	f	f	PROPN
ejpam-4843	93	4	(	(	PUNCT
ejpam-4843	93	5	a⊗	a⊗	NOUN
ejpam-4843	93	6	1	1	NUM
ejpam-4843	93	7	+	+	CCONJ
ejpam-4843	93	8	1⊗b	1⊗b	NUM
ejpam-4843	93	9	2	2	NUM
ejpam-4843	93	10	)	)	PUNCT
ejpam-4843	93	11	=	=	SYM
ejpam-4843	93	12	(	(	PUNCT
ejpam-4843	93	13	1⊗b	1⊗b	NUM
ejpam-4843	93	14	−a⊗	−a⊗	NOUN
ejpam-4843	93	15	1)2	1)2	NUM
ejpam-4843	93	16	16	16	NUM
ejpam-4843	93	17	[	[	PUNCT
ejpam-4843	93	18	∫	∫	PROPN
ejpam-4843	93	19	1	1	NUM
ejpam-4843	93	20	0	0	NUM
ejpam-4843	93	21	l2f	l2f	PROPN
ejpam-4843	93	22	′′	′′	PROPN
ejpam-4843	93	23	(	(	PUNCT
ejpam-4843	93	24	(	(	PUNCT
ejpam-4843	93	25	1−	1−	NUM
ejpam-4843	93	26	l	l	NOUN
ejpam-4843	93	27	2	2	NUM
ejpam-4843	93	28	)	)	PUNCT
ejpam-4843	93	29	a⊗	a⊗	NOUN
ejpam-4843	93	30	1	1	NUM
ejpam-4843	93	31	+	+	NUM
ejpam-4843	93	32	l	l	NOUN
ejpam-4843	93	33	2	2	NUM
ejpam-4843	93	34	1⊗b	1⊗b	NUM
ejpam-4843	93	35	)	)	PUNCT
ejpam-4843	93	36	dl	dl	PROPN
ejpam-4843	94	1	+	+	NUM
ejpam-4843	94	2	∫	∫	PROPN
ejpam-4843	94	3	1	1	NUM
ejpam-4843	94	4	0	0	NUM
ejpam-4843	94	5	(	(	PUNCT
ejpam-4843	94	6	l	l	NOUN
ejpam-4843	94	7	−	−	PROPN
ejpam-4843	94	8	1)2f	1)2f	NUM
ejpam-4843	94	9	′′	′′	PROPN
ejpam-4843	94	10	(	(	PUNCT
ejpam-4843	94	11	(	(	PUNCT
ejpam-4843	94	12	1−	1−	NUM
ejpam-4843	94	13	l	l	NOUN
ejpam-4843	94	14	2	2	NUM
ejpam-4843	94	15	)	)	PUNCT
ejpam-4843	94	16	a⊗	a⊗	NOUN
ejpam-4843	94	17	1	1	NUM
ejpam-4843	94	18	+	+	CCONJ
ejpam-4843	94	19	(	(	PUNCT
ejpam-4843	94	20	1	1	NUM
ejpam-4843	94	21	+	+	NUM
ejpam-4843	94	22	l	l	NOUN
ejpam-4843	94	23	2	2	X
ejpam-4843	94	24	)	)	PUNCT
ejpam-4843	94	25	1⊗b	1⊗b	NUM
ejpam-4843	94	26	)	)	PUNCT
ejpam-4843	94	27	dl	dl	X
ejpam-4843	94	28	]	]	PUNCT
ejpam-4843	94	29	proof	proof	NOUN
ejpam-4843	94	30	.	.	PUNCT
ejpam-4843	95	1	we	we	PRON
ejpam-4843	95	2	start	start	VERB
ejpam-4843	95	3	with	with	ADP
ejpam-4843	95	4	lemma	lemma	PROPN
ejpam-4843	95	5	2	2	NUM
ejpam-4843	95	6	.	.	PUNCT
ejpam-4843	95	7	introducing	introduce	VERB
ejpam-4843	95	8	the	the	DET
ejpam-4843	95	9	substitution	substitution	NOUN
ejpam-4843	95	10	x	x	PUNCT
ejpam-4843	96	1	=	=	PRON
ejpam-4843	96	2	λb+	λb+	X
ejpam-4843	96	3	(	(	PUNCT
ejpam-4843	96	4	1−	1−	NUM
ejpam-4843	96	5	λ)a	λ)a	PUNCT
ejpam-4843	96	6	on	on	ADP
ejpam-4843	96	7	the	the	DET
ejpam-4843	96	8	left	left	ADJ
ejpam-4843	96	9	hand	hand	NOUN
ejpam-4843	96	10	side	side	NOUN
ejpam-4843	96	11	integral	integral	ADJ
ejpam-4843	96	12	.	.	PUNCT
ejpam-4843	97	1	then	then	ADV
ejpam-4843	97	2	we	we	PRON
ejpam-4843	97	3	assume	assume	VERB
ejpam-4843	97	4	that	that	SCONJ
ejpam-4843	97	5	a	a	PRON
ejpam-4843	97	6	and	and	CCONJ
ejpam-4843	97	7	b	b	NOUN
ejpam-4843	97	8	have	have	VERB
ejpam-4843	97	9	the	the	DET
ejpam-4843	97	10	spectral	spectral	ADJ
ejpam-4843	97	11	resolutions	resolution	NOUN
ejpam-4843	97	12	a	a	PRON
ejpam-4843	97	13	=	=	SYM
ejpam-4843	97	14	∫	∫	PROPN
ejpam-4843	98	1	i	i	PROPN
ejpam-4843	98	2	tdet	tdet	NOUN
ejpam-4843	98	3	,	,	PUNCT
ejpam-4843	98	4	b	b	X
ejpam-4843	98	5	=	=	SYM
ejpam-4843	98	6	∫	∫	PROPN
ejpam-4843	99	1	i	i	PRON
ejpam-4843	99	2	sdfs	sdfs	VERB
ejpam-4843	99	3	.	.	PUNCT
ejpam-4843	100	1	if	if	SCONJ
ejpam-4843	100	2	we	we	PRON
ejpam-4843	100	3	take	take	VERB
ejpam-4843	100	4	the	the	DET
ejpam-4843	100	5	integral	integral	ADJ
ejpam-4843	100	6	∫	∫	NOUN
ejpam-4843	101	1	i	i	PRON
ejpam-4843	101	2	∫	∫	PROPN
ejpam-4843	102	1	i	i	PROPN
ejpam-4843	102	2	det	det	PROPN
ejpam-4843	102	3	⊗	⊗	PROPN
ejpam-4843	102	4	dfs	dfs	PROPN
ejpam-4843	102	5	,	,	PUNCT
ejpam-4843	102	6	then	then	ADV
ejpam-4843	102	7	we	we	PRON
ejpam-4843	102	8	get∫	get∫	VERB
ejpam-4843	103	1	i	i	PRON
ejpam-4843	103	2	∫	∫	VERB
ejpam-4843	104	1	i	i	PRON
ejpam-4843	104	2	∫	∫	PROPN
ejpam-4843	104	3	1	1	NUM
ejpam-4843	104	4	0	0	NUM
ejpam-4843	104	5	(	(	PUNCT
ejpam-4843	104	6	f((1−	f((1−	ADJ
ejpam-4843	104	7	λ)t+	λ)t+	PROPN
ejpam-4843	104	8	λs)dλ−	λs)dλ−	ADP
ejpam-4843	104	9	f	f	X
ejpam-4843	104	10	(	(	PUNCT
ejpam-4843	104	11	s+	s+	ADV
ejpam-4843	104	12	t	t	PROPN
ejpam-4843	104	13	2	2	NUM
ejpam-4843	104	14	)	)	PUNCT
ejpam-4843	104	15	)	)	PUNCT
ejpam-4843	105	1	det	det	PROPN
ejpam-4843	105	2	⊗	⊗	PROPN
ejpam-4843	105	3	dfs	dfs	PROPN
ejpam-4843	105	4	v.	v.	ADP
ejpam-4843	105	5	stojiljković	stojiljković	PROPN
ejpam-4843	105	6	/	/	SYM
ejpam-4843	105	7	eur	eur	PROPN
ejpam-4843	105	8	.	.	PUNCT
ejpam-4843	106	1	j.	j.	PROPN
ejpam-4843	106	2	pure	pure	PROPN
ejpam-4843	106	3	appl	appl	PROPN
ejpam-4843	106	4	.	.	PROPN
ejpam-4843	106	5	math	math	PROPN
ejpam-4843	106	6	,	,	PUNCT
ejpam-4843	106	7	16	16	NUM
ejpam-4843	106	8	(	(	PUNCT
ejpam-4843	106	9	3	3	NUM
ejpam-4843	106	10	)	)	PUNCT
ejpam-4843	106	11	(	(	PUNCT
ejpam-4843	106	12	2023	2023	NUM
ejpam-4843	106	13	)	)	PUNCT
ejpam-4843	106	14	,	,	PUNCT
ejpam-4843	106	15	1421	1421	NUM
ejpam-4843	106	16	-	-	SYM
ejpam-4843	106	17	1433	1433	NUM
ejpam-4843	106	18	1425	1425	NUM
ejpam-4843	106	19	=	=	SYM
ejpam-4843	107	1	∫	∫	PROPN
ejpam-4843	108	1	i	i	PRON
ejpam-4843	108	2	∫	∫	VERB
ejpam-4843	109	1	i	i	PRON
ejpam-4843	109	2	(	(	PUNCT
ejpam-4843	109	3	(	(	PUNCT
ejpam-4843	109	4	s−	s−	PROPN
ejpam-4843	109	5	t)2	t)2	X
ejpam-4843	109	6	16	16	NUM
ejpam-4843	109	7	[	[	PUNCT
ejpam-4843	109	8	∫	∫	PROPN
ejpam-4843	109	9	1	1	NUM
ejpam-4843	109	10	0	0	NUM
ejpam-4843	109	11	l2f	l2f	PROPN
ejpam-4843	109	12	′′	′′	PROPN
ejpam-4843	109	13	(	(	PUNCT
ejpam-4843	109	14	(	(	PUNCT
ejpam-4843	109	15	1−	1−	NUM
ejpam-4843	109	16	l	l	NOUN
ejpam-4843	109	17	2	2	NUM
ejpam-4843	109	18	)	)	PUNCT
ejpam-4843	109	19	t+	t+	PUNCT
ejpam-4843	109	20	l	l	NOUN
ejpam-4843	109	21	2	2	NUM
ejpam-4843	109	22	s	s	PART
ejpam-4843	109	23	)	)	PUNCT
ejpam-4843	109	24	dl	dl	PROPN
ejpam-4843	110	1	+	+	NUM
ejpam-4843	110	2	∫	∫	PROPN
ejpam-4843	110	3	1	1	NUM
ejpam-4843	110	4	0	0	NUM
ejpam-4843	110	5	(	(	PUNCT
ejpam-4843	110	6	l	l	NOUN
ejpam-4843	110	7	−	−	PROPN
ejpam-4843	110	8	1)2f	1)2f	NUM
ejpam-4843	110	9	′′	′′	PROPN
ejpam-4843	110	10	(	(	PUNCT
ejpam-4843	110	11	(	(	PUNCT
ejpam-4843	110	12	1−	1−	NUM
ejpam-4843	110	13	l	l	NOUN
ejpam-4843	110	14	2	2	NUM
ejpam-4843	110	15	)	)	PUNCT
ejpam-4843	110	16	a+	a+	PUNCT
ejpam-4843	110	17	(	(	PUNCT
ejpam-4843	110	18	1	1	NUM
ejpam-4843	110	19	+	+	NUM
ejpam-4843	110	20	l	l	NOUN
ejpam-4843	110	21	2	2	X
ejpam-4843	110	22	)	)	PUNCT
ejpam-4843	110	23	s	s	PART
ejpam-4843	110	24	)	)	PUNCT
ejpam-4843	110	25	dl	dl	X
ejpam-4843	110	26	]	]	PUNCT
ejpam-4843	110	27	)	)	PUNCT
ejpam-4843	110	28	det	det	PROPN
ejpam-4843	110	29	⊗	⊗	PROPN
ejpam-4843	110	30	dfs	dfs	PROPN
ejpam-4843	110	31	.	.	PUNCT
ejpam-4843	111	1	by	by	ADP
ejpam-4843	111	2	utilizing	utilize	VERB
ejpam-4843	111	3	fubini	fubini	NOUN
ejpam-4843	111	4	’s	’s	PART
ejpam-4843	111	5	theorem	theorem	NOUN
ejpam-4843	111	6	for	for	ADP
ejpam-4843	111	7	the	the	DET
ejpam-4843	111	8	left	left	ADJ
ejpam-4843	111	9	and	and	CCONJ
ejpam-4843	111	10	right	right	ADJ
ejpam-4843	111	11	hand	hand	NOUN
ejpam-4843	111	12	side	side	NOUN
ejpam-4843	111	13	with	with	ADP
ejpam-4843	111	14	lemma	lemma	PROPN
ejpam-4843	111	15	1	1	NUM
ejpam-4843	111	16	for	for	ADP
ejpam-4843	111	17	appropriate	appropriate	ADJ
ejpam-4843	111	18	choices	choice	NOUN
ejpam-4843	111	19	of	of	ADP
ejpam-4843	111	20	the	the	DET
ejpam-4843	111	21	functions	function	NOUN
ejpam-4843	111	22	involved	involve	VERB
ejpam-4843	111	23	,	,	PUNCT
ejpam-4843	111	24	we	we	PRON
ejpam-4843	111	25	have	have	VERB
ejpam-4843	111	26	successively∫	successively∫	NOUN
ejpam-4843	112	1	i	i	PRON
ejpam-4843	112	2	∫	∫	VERB
ejpam-4843	113	1	i	i	PRON
ejpam-4843	113	2	∫	∫	PROPN
ejpam-4843	113	3	1	1	NUM
ejpam-4843	113	4	0	0	NUM
ejpam-4843	113	5	f((1−	f((1−	NOUN
ejpam-4843	113	6	λ)t+	λ)t+	X
ejpam-4843	113	7	λs)dλdet	λs)dλdet	NOUN
ejpam-4843	113	8	⊗	⊗	NOUN
ejpam-4843	113	9	dfs	dfs	PROPN
ejpam-4843	113	10	=	=	SYM
ejpam-4843	113	11	∫	∫	PROPN
ejpam-4843	113	12	1	1	NUM
ejpam-4843	113	13	0	0	NUM
ejpam-4843	113	14	∫	∫	PROPN
ejpam-4843	114	1	i	i	PRON
ejpam-4843	114	2	∫	∫	VERB
ejpam-4843	115	1	i	i	PRON
ejpam-4843	115	2	f((1−	f((1−	PROPN
ejpam-4843	115	3	λ)t+	λ)t+	X
ejpam-4843	115	4	λs)det	λs)det	ADJ
ejpam-4843	115	5	⊗	⊗	PROPN
ejpam-4843	115	6	dfsdλ	dfsdλ	PROPN
ejpam-4843	115	7	=	=	SYM
ejpam-4843	115	8	∫	∫	PROPN
ejpam-4843	115	9	1	1	NUM
ejpam-4843	115	10	0	0	NUM
ejpam-4843	115	11	f((1−	f((1−	ADJ
ejpam-4843	115	12	λ)a⊗	λ)a⊗	X
ejpam-4843	115	13	1	1	NUM
ejpam-4843	116	1	+	+	CCONJ
ejpam-4843	116	2	λ1⊗b)dλ,∫	λ1⊗b)dλ,∫	PROPN
ejpam-4843	117	1	i	i	PRON
ejpam-4843	117	2	∫	∫	VERB
ejpam-4843	118	1	i	i	PRON
ejpam-4843	118	2	(	(	PUNCT
ejpam-4843	118	3	(	(	PUNCT
ejpam-4843	118	4	s−	s−	PROPN
ejpam-4843	118	5	t)2	t)2	PROPN
ejpam-4843	118	6	16	16	NUM
ejpam-4843	118	7	∫	∫	NOUN
ejpam-4843	118	8	1	1	NUM
ejpam-4843	118	9	0	0	NUM
ejpam-4843	118	10	l2f	l2f	PROPN
ejpam-4843	118	11	′′	′′	PROPN
ejpam-4843	118	12	(	(	PUNCT
ejpam-4843	118	13	(	(	PUNCT
ejpam-4843	118	14	1−	1−	NUM
ejpam-4843	118	15	l	l	NOUN
ejpam-4843	118	16	2	2	NUM
ejpam-4843	118	17	)	)	PUNCT
ejpam-4843	118	18	t+	t+	PUNCT
ejpam-4843	118	19	l	l	NOUN
ejpam-4843	118	20	2	2	NUM
ejpam-4843	118	21	s	s	PART
ejpam-4843	118	22	)	)	PUNCT
ejpam-4843	118	23	dldet	dldet	NOUN
ejpam-4843	118	24	⊗	⊗	PROPN
ejpam-4843	118	25	dfs	dfs	PROPN
ejpam-4843	118	26	=	=	SYM
ejpam-4843	118	27	∫	∫	PROPN
ejpam-4843	118	28	1	1	NUM
ejpam-4843	118	29	0	0	NUM
ejpam-4843	118	30	∫	∫	PROPN
ejpam-4843	119	1	i	i	PRON
ejpam-4843	119	2	∫	∫	VERB
ejpam-4843	120	1	i	i	PRON
ejpam-4843	120	2	(	(	PUNCT
ejpam-4843	120	3	s−	s−	PROPN
ejpam-4843	120	4	t)2	t)2	PROPN
ejpam-4843	120	5	16	16	NUM
ejpam-4843	120	6	l2f	l2f	PROPN
ejpam-4843	120	7	′′	′′	PROPN
ejpam-4843	120	8	(	(	PUNCT
ejpam-4843	120	9	(	(	PUNCT
ejpam-4843	120	10	1−	1−	NUM
ejpam-4843	120	11	l	l	NOUN
ejpam-4843	120	12	2	2	NUM
ejpam-4843	120	13	)	)	PUNCT
ejpam-4843	120	14	t+	t+	PUNCT
ejpam-4843	120	15	l	l	NOUN
ejpam-4843	120	16	2	2	NUM
ejpam-4843	120	17	s	s	PART
ejpam-4843	120	18	)	)	PUNCT
ejpam-4843	120	19	det	det	PROPN
ejpam-4843	120	20	⊗	⊗	PROPN
ejpam-4843	120	21	dfsdl	dfsdl	PROPN
ejpam-4843	121	1	=	=	X
ejpam-4843	121	2	∫	∫	PROPN
ejpam-4843	121	3	1	1	NUM
ejpam-4843	121	4	0	0	NUM
ejpam-4843	121	5	(	(	PUNCT
ejpam-4843	121	6	1⊗b	1⊗b	NUM
ejpam-4843	121	7	−a⊗	−a⊗	NOUN
ejpam-4843	121	8	1)2	1)2	NUM
ejpam-4843	121	9	16	16	NUM
ejpam-4843	121	10	l2f	l2f	PROPN
ejpam-4843	121	11	′′	′′	PROPN
ejpam-4843	121	12	(	(	PUNCT
ejpam-4843	121	13	(	(	PUNCT
ejpam-4843	121	14	1−	1−	NUM
ejpam-4843	121	15	l	l	NOUN
ejpam-4843	121	16	2	2	NUM
ejpam-4843	121	17	)	)	PUNCT
ejpam-4843	121	18	a⊗	a⊗	NOUN
ejpam-4843	121	19	1	1	NUM
ejpam-4843	121	20	+	+	NUM
ejpam-4843	121	21	l	l	NOUN
ejpam-4843	121	22	2	2	NUM
ejpam-4843	121	23	1⊗b	1⊗b	NUM
ejpam-4843	121	24	)	)	PUNCT
ejpam-4843	122	1	dl,∫	dl,∫	NOUN
ejpam-4843	123	1	i	i	PRON
ejpam-4843	123	2	∫	∫	VERB
ejpam-4843	124	1	i	i	PRON
ejpam-4843	124	2	(	(	PUNCT
ejpam-4843	124	3	(	(	PUNCT
ejpam-4843	124	4	s−	s−	PROPN
ejpam-4843	124	5	t)2	t)2	PROPN
ejpam-4843	124	6	16	16	NUM
ejpam-4843	124	7	∫	∫	NOUN
ejpam-4843	124	8	1	1	NUM
ejpam-4843	124	9	0	0	NUM
ejpam-4843	124	10	l2f	l2f	PROPN
ejpam-4843	124	11	′′	′′	PROPN
ejpam-4843	124	12	(	(	PUNCT
ejpam-4843	124	13	(	(	PUNCT
ejpam-4843	124	14	1−	1−	NUM
ejpam-4843	124	15	l	l	NOUN
ejpam-4843	124	16	2	2	NUM
ejpam-4843	124	17	)	)	PUNCT
ejpam-4843	124	18	t+	t+	NOUN
ejpam-4843	124	19	(	(	PUNCT
ejpam-4843	124	20	1	1	NUM
ejpam-4843	124	21	+	+	NUM
ejpam-4843	124	22	l	l	NOUN
ejpam-4843	124	23	2	2	X
ejpam-4843	124	24	)	)	PUNCT
ejpam-4843	124	25	s	s	PART
ejpam-4843	124	26	)	)	PUNCT
ejpam-4843	124	27	dldet	dldet	NOUN
ejpam-4843	124	28	⊗	⊗	PROPN
ejpam-4843	124	29	dfs	dfs	PROPN
ejpam-4843	124	30	,	,	PUNCT
ejpam-4843	124	31	=	=	SYM
ejpam-4843	124	32	∫	∫	PROPN
ejpam-4843	124	33	1	1	NUM
ejpam-4843	124	34	0	0	NUM
ejpam-4843	124	35	∫	∫	PROPN
ejpam-4843	125	1	i	i	PRON
ejpam-4843	125	2	∫	∫	VERB
ejpam-4843	126	1	i	i	PRON
ejpam-4843	126	2	(	(	PUNCT
ejpam-4843	126	3	s−	s−	PROPN
ejpam-4843	126	4	t)2	t)2	PROPN
ejpam-4843	126	5	16	16	NUM
ejpam-4843	126	6	l2f	l2f	PROPN
ejpam-4843	126	7	′′	′′	PROPN
ejpam-4843	126	8	(	(	PUNCT
ejpam-4843	126	9	(	(	PUNCT
ejpam-4843	126	10	1−	1−	NUM
ejpam-4843	126	11	l	l	NOUN
ejpam-4843	126	12	2	2	NUM
ejpam-4843	126	13	)	)	PUNCT
ejpam-4843	126	14	t+	t+	NOUN
ejpam-4843	126	15	(	(	PUNCT
ejpam-4843	126	16	1	1	NUM
ejpam-4843	126	17	+	+	NUM
ejpam-4843	126	18	l	l	NOUN
ejpam-4843	126	19	2	2	X
ejpam-4843	126	20	)	)	PUNCT
ejpam-4843	126	21	s	s	PART
ejpam-4843	126	22	)	)	PUNCT
ejpam-4843	126	23	det	det	PROPN
ejpam-4843	126	24	⊗	⊗	PROPN
ejpam-4843	126	25	dfsdl	dfsdl	PROPN
ejpam-4843	127	1	=	=	X
ejpam-4843	127	2	∫	∫	PROPN
ejpam-4843	127	3	1	1	NUM
ejpam-4843	127	4	0	0	NUM
ejpam-4843	127	5	(	(	PUNCT
ejpam-4843	127	6	1⊗b	1⊗b	NUM
ejpam-4843	127	7	−a⊗	−a⊗	NOUN
ejpam-4843	127	8	1)2	1)2	NUM
ejpam-4843	127	9	16	16	NUM
ejpam-4843	127	10	l2f	l2f	PROPN
ejpam-4843	127	11	′′	′′	PROPN
ejpam-4843	127	12	(	(	PUNCT
ejpam-4843	127	13	(	(	PUNCT
ejpam-4843	127	14	1−	1−	NUM
ejpam-4843	127	15	l	l	NOUN
ejpam-4843	127	16	2	2	NUM
ejpam-4843	127	17	)	)	PUNCT
ejpam-4843	127	18	a⊗	a⊗	NOUN
ejpam-4843	127	19	1	1	NUM
ejpam-4843	127	20	+	+	CCONJ
ejpam-4843	127	21	(	(	PUNCT
ejpam-4843	127	22	1	1	NUM
ejpam-4843	127	23	+	+	NUM
ejpam-4843	127	24	l	l	NOUN
ejpam-4843	127	25	2	2	X
ejpam-4843	127	26	)	)	PUNCT
ejpam-4843	127	27	1⊗b	1⊗b	NUM
ejpam-4843	127	28	)	)	PUNCT
ejpam-4843	127	29	dl	dl	PROPN
ejpam-4843	127	30	.	.	PROPN
ejpam-4843	127	31	theorem	theorem	PROPN
ejpam-4843	127	32	3	3	PROPN
ejpam-4843	127	33	.	.	PUNCT
ejpam-4843	127	34	assume	assume	VERB
ejpam-4843	127	35	that	that	SCONJ
ejpam-4843	127	36	f	f	PROPN
ejpam-4843	127	37	is	be	AUX
ejpam-4843	127	38	continuously	continuously	ADV
ejpam-4843	127	39	differentiable	differentiable	ADJ
ejpam-4843	127	40	on	on	ADP
ejpam-4843	127	41	i	i	PRON
ejpam-4843	127	42	with	with	ADP
ejpam-4843	127	43	∥f	∥f	PROPN
ejpam-4843	127	44	′′∥i,+∞	′′∥i,+∞	PROPN
ejpam-4843	127	45	:	:	PUNCT
ejpam-4843	128	1	=	=	SYM
ejpam-4843	128	2	supt∈i	supt∈i	PROPN
ejpam-4843	128	3	|f	|f	PROPN
ejpam-4843	128	4	′′(t)|	′′(t)|	PROPN
ejpam-4843	128	5	<	<	X
ejpam-4843	129	1	+	+	NOUN
ejpam-4843	129	2	∞	∞	PROPN
ejpam-4843	129	3	and	and	CCONJ
ejpam-4843	129	4	a	a	DET
ejpam-4843	129	5	,	,	PUNCT
ejpam-4843	129	6	b	b	NOUN
ejpam-4843	129	7	are	be	AUX
ejpam-4843	129	8	selfadjoint	selfadjoint	VERB
ejpam-4843	129	9	operators	operator	NOUN
ejpam-4843	129	10	with	with	ADP
ejpam-4843	129	11	sp(a	sp(a	NOUN
ejpam-4843	129	12	)	)	PUNCT
ejpam-4843	129	13	,	,	PUNCT
ejpam-4843	129	14	sp(b	sp(b	PROPN
ejpam-4843	129	15	)	)	PUNCT
ejpam-4843	130	1	⊂	⊂	PROPN
ejpam-4843	131	1	i	i	PRON
ejpam-4843	131	2	,	,	PUNCT
ejpam-4843	131	3	then∥∥∥∥∫	then∥∥∥∥∫	PROPN
ejpam-4843	131	4	1	1	NUM
ejpam-4843	131	5	0	0	NUM
ejpam-4843	131	6	f((1−	f((1−	ADJ
ejpam-4843	131	7	λ)a⊗	λ)a⊗	X
ejpam-4843	131	8	1	1	NUM
ejpam-4843	132	1	+	+	CCONJ
ejpam-4843	132	2	λ1⊗b)dλ−	λ1⊗b)dλ−	PROPN
ejpam-4843	132	3	f	f	PROPN
ejpam-4843	132	4	(	(	PUNCT
ejpam-4843	132	5	a⊗	a⊗	NOUN
ejpam-4843	132	6	1	1	NUM
ejpam-4843	132	7	+	+	CCONJ
ejpam-4843	132	8	1⊗b	1⊗b	NUM
ejpam-4843	132	9	2	2	NUM
ejpam-4843	132	10	)	)	PUNCT
ejpam-4843	132	11	∥∥∥∥	∥∥∥∥	NUM
ejpam-4843	132	12	⩽	⩽	PROPN
ejpam-4843	132	13	∥1⊗b	∥1⊗b	PUNCT
ejpam-4843	133	1	−a⊗	−a⊗	PROPN
ejpam-4843	133	2	1∥2	1∥2	PROPN
ejpam-4843	134	1	∥f	∥f	PROPN
ejpam-4843	134	2	′′∥i,+∞	′′∥i,+∞	PROPN
ejpam-4843	134	3	24	24	NUM
ejpam-4843	134	4	.	.	PUNCT
ejpam-4843	135	1	proof	proof	NOUN
ejpam-4843	135	2	.	.	PUNCT
ejpam-4843	136	1	if	if	SCONJ
ejpam-4843	136	2	we	we	PRON
ejpam-4843	136	3	take	take	VERB
ejpam-4843	136	4	the	the	DET
ejpam-4843	136	5	operator	operator	NOUN
ejpam-4843	136	6	norm	norm	NOUN
ejpam-4843	136	7	,	,	PUNCT
ejpam-4843	136	8	we	we	PRON
ejpam-4843	136	9	get∥∥∥∥∫	get∥∥∥∥∫	VERB
ejpam-4843	136	10	1	1	NUM
ejpam-4843	136	11	0	0	NUM
ejpam-4843	136	12	f((1−	f((1−	ADJ
ejpam-4843	136	13	λ)a⊗	λ)a⊗	X
ejpam-4843	136	14	1	1	NUM
ejpam-4843	137	1	+	+	CCONJ
ejpam-4843	137	2	λ1⊗b)dλ−	λ1⊗b)dλ−	PROPN
ejpam-4843	137	3	f	f	PROPN
ejpam-4843	137	4	(	(	PUNCT
ejpam-4843	137	5	a⊗	a⊗	NOUN
ejpam-4843	137	6	1	1	NUM
ejpam-4843	137	7	+	+	CCONJ
ejpam-4843	137	8	1⊗b	1⊗b	NUM
ejpam-4843	137	9	2	2	NUM
ejpam-4843	137	10	)	)	PUNCT
ejpam-4843	137	11	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-4843	137	12	v.	v.	ADP
ejpam-4843	137	13	stojiljković	stojiljković	PROPN
ejpam-4843	137	14	/	/	SYM
ejpam-4843	137	15	eur	eur	PROPN
ejpam-4843	137	16	.	.	PUNCT
ejpam-4843	138	1	j.	j.	PROPN
ejpam-4843	138	2	pure	pure	PROPN
ejpam-4843	138	3	appl	appl	PROPN
ejpam-4843	138	4	.	.	PROPN
ejpam-4843	138	5	math	math	PROPN
ejpam-4843	138	6	,	,	PUNCT
ejpam-4843	138	7	16	16	NUM
ejpam-4843	138	8	(	(	PUNCT
ejpam-4843	138	9	3	3	NUM
ejpam-4843	138	10	)	)	PUNCT
ejpam-4843	138	11	(	(	PUNCT
ejpam-4843	138	12	2023	2023	NUM
ejpam-4843	138	13	)	)	PUNCT
ejpam-4843	138	14	,	,	PUNCT
ejpam-4843	138	15	1421	1421	NUM
ejpam-4843	138	16	-	-	SYM
ejpam-4843	138	17	1433	1433	NUM
ejpam-4843	138	18	1426	1426	NUM
ejpam-4843	138	19	⩽	⩽	NOUN
ejpam-4843	138	20	∥1⊗b	∥1⊗b	PUNCT
ejpam-4843	139	1	−a⊗	−a⊗	PROPN
ejpam-4843	139	2	1∥2	1∥2	NUM
ejpam-4843	139	3	16	16	NUM
ejpam-4843	139	4	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	ADP
ejpam-4843	139	5	∫	∫	PROPN
ejpam-4843	139	6	1	1	NUM
ejpam-4843	139	7	0	0	NUM
ejpam-4843	139	8	l2f	l2f	PROPN
ejpam-4843	139	9	′′	′′	PROPN
ejpam-4843	139	10	(	(	PUNCT
ejpam-4843	139	11	(	(	PUNCT
ejpam-4843	139	12	1−	1−	NUM
ejpam-4843	139	13	l	l	NOUN
ejpam-4843	139	14	2	2	NUM
ejpam-4843	139	15	)	)	PUNCT
ejpam-4843	139	16	a⊗	a⊗	NOUN
ejpam-4843	139	17	1	1	NUM
ejpam-4843	139	18	+	+	NUM
ejpam-4843	139	19	l	l	NOUN
ejpam-4843	139	20	2	2	NUM
ejpam-4843	139	21	1⊗b	1⊗b	NUM
ejpam-4843	139	22	)	)	PUNCT
ejpam-4843	140	1	dl	dl	PROPN
ejpam-4843	141	1	+	+	NUM
ejpam-4843	141	2	∫	∫	PROPN
ejpam-4843	141	3	1	1	NUM
ejpam-4843	141	4	0	0	NUM
ejpam-4843	141	5	(	(	PUNCT
ejpam-4843	141	6	l	l	NOUN
ejpam-4843	141	7	−	−	PROPN
ejpam-4843	141	8	1)2f	1)2f	NUM
ejpam-4843	141	9	′′	′′	PROPN
ejpam-4843	141	10	(	(	PUNCT
ejpam-4843	141	11	(	(	PUNCT
ejpam-4843	141	12	1−	1−	NUM
ejpam-4843	141	13	l	l	NOUN
ejpam-4843	141	14	2	2	NUM
ejpam-4843	141	15	)	)	PUNCT
ejpam-4843	141	16	a⊗	a⊗	NOUN
ejpam-4843	141	17	1	1	NUM
ejpam-4843	141	18	+	+	CCONJ
ejpam-4843	141	19	(	(	PUNCT
ejpam-4843	141	20	1	1	NUM
ejpam-4843	141	21	+	+	NUM
ejpam-4843	141	22	l	l	NOUN
ejpam-4843	141	23	2	2	X
ejpam-4843	141	24	)	)	PUNCT
ejpam-4843	141	25	1⊗b	1⊗b	NUM
ejpam-4843	141	26	)	)	PUNCT
ejpam-4843	141	27	dl	dl	PROPN
ejpam-4843	141	28	∣∣∣∣∣∣∣∣.	∣∣∣∣∣∣∣∣.	PROPN
ejpam-4843	141	29	using	use	VERB
ejpam-4843	141	30	the	the	DET
ejpam-4843	141	31	triangle	triangle	NOUN
ejpam-4843	141	32	inequality	inequality	NOUN
ejpam-4843	141	33	and	and	CCONJ
ejpam-4843	141	34	the	the	DET
ejpam-4843	141	35	properties	property	NOUN
ejpam-4843	141	36	of	of	ADP
ejpam-4843	141	37	the	the	DET
ejpam-4843	141	38	integral	integral	ADJ
ejpam-4843	141	39	and	and	CCONJ
ejpam-4843	141	40	the	the	DET
ejpam-4843	141	41	norm	norm	NOUN
ejpam-4843	141	42	,	,	PUNCT
ejpam-4843	141	43	we	we	PRON
ejpam-4843	141	44	get	get	VERB
ejpam-4843	141	45	∥1⊗b	∥1⊗b	PUNCT
ejpam-4843	141	46	−a⊗	−a⊗	PROPN
ejpam-4843	141	47	1∥2	1∥2	NUM
ejpam-4843	141	48	16	16	NUM
ejpam-4843	141	49	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	ADP
ejpam-4843	141	50	∫	∫	PROPN
ejpam-4843	141	51	1	1	NUM
ejpam-4843	141	52	0	0	NUM
ejpam-4843	141	53	l2f	l2f	PROPN
ejpam-4843	141	54	′′	′′	PROPN
ejpam-4843	141	55	(	(	PUNCT
ejpam-4843	141	56	(	(	PUNCT
ejpam-4843	141	57	1−	1−	NUM
ejpam-4843	141	58	l	l	NOUN
ejpam-4843	141	59	2	2	NUM
ejpam-4843	141	60	)	)	PUNCT
ejpam-4843	141	61	a⊗	a⊗	NOUN
ejpam-4843	141	62	1	1	NUM
ejpam-4843	141	63	+	+	NUM
ejpam-4843	141	64	l	l	NOUN
ejpam-4843	141	65	2	2	NUM
ejpam-4843	141	66	1⊗b	1⊗b	NUM
ejpam-4843	141	67	)	)	PUNCT
ejpam-4843	142	1	dl	dl	PROPN
ejpam-4843	143	1	+	+	NUM
ejpam-4843	143	2	∫	∫	PROPN
ejpam-4843	143	3	1	1	NUM
ejpam-4843	143	4	0	0	NUM
ejpam-4843	143	5	(	(	PUNCT
ejpam-4843	143	6	l	l	NOUN
ejpam-4843	143	7	−	−	PROPN
ejpam-4843	143	8	1)2f	1)2f	NUM
ejpam-4843	143	9	′′	′′	PROPN
ejpam-4843	143	10	(	(	PUNCT
ejpam-4843	143	11	(	(	PUNCT
ejpam-4843	143	12	1−	1−	NUM
ejpam-4843	143	13	l	l	NOUN
ejpam-4843	143	14	2	2	NUM
ejpam-4843	143	15	)	)	PUNCT
ejpam-4843	143	16	a⊗	a⊗	NOUN
ejpam-4843	143	17	1	1	NUM
ejpam-4843	143	18	+	+	CCONJ
ejpam-4843	143	19	(	(	PUNCT
ejpam-4843	143	20	1	1	NUM
ejpam-4843	143	21	+	+	NUM
ejpam-4843	143	22	l	l	NOUN
ejpam-4843	143	23	2	2	X
ejpam-4843	143	24	)	)	PUNCT
ejpam-4843	143	25	1⊗b	1⊗b	NUM
ejpam-4843	143	26	)	)	PUNCT
ejpam-4843	143	27	dl	dl	PROPN
ejpam-4843	143	28	∣∣∣∣∣∣∣∣	∣∣∣∣∣∣∣∣	PROPN
ejpam-4843	143	29	⩽	⩽	PROPN
ejpam-4843	143	30	∥1⊗b	∥1⊗b	PUNCT
ejpam-4843	143	31	−a⊗	−a⊗	PROPN
ejpam-4843	143	32	1∥2	1∥2	NUM
ejpam-4843	143	33	16	16	NUM
ejpam-4843	143	34	(	(	PUNCT
ejpam-4843	143	35	∫	∫	PROPN
ejpam-4843	143	36	1	1	NUM
ejpam-4843	143	37	0	0	NUM
ejpam-4843	143	38	l2	l2	NOUN
ejpam-4843	143	39	∥∥∥∥f	∥∥∥∥f	NOUN
ejpam-4843	143	40	′′((1−	′′((1−	NOUN
ejpam-4843	143	41	l	l	NOUN
ejpam-4843	143	42	2	2	X
ejpam-4843	143	43	)	)	PUNCT
ejpam-4843	143	44	a⊗	a⊗	NOUN
ejpam-4843	143	45	1	1	NUM
ejpam-4843	143	46	+	+	NUM
ejpam-4843	143	47	l	l	NOUN
ejpam-4843	143	48	2	2	NUM
ejpam-4843	143	49	1⊗b	1⊗b	NUM
ejpam-4843	143	50	)	)	PUNCT
ejpam-4843	143	51	∥∥∥∥	∥∥∥∥	PROPN
ejpam-4843	143	52	dl	dl	PROPN
ejpam-4843	143	53	+	+	CCONJ
ejpam-4843	143	54	∫	∫	PROPN
ejpam-4843	143	55	1	1	NUM
ejpam-4843	143	56	0	0	NUM
ejpam-4843	143	57	(	(	PUNCT
ejpam-4843	143	58	l	l	NOUN
ejpam-4843	143	59	−	−	PROPN
ejpam-4843	143	60	1)2	1)2	NUM
ejpam-4843	143	61	∥∥∥∥f	∥∥∥∥f	NOUN
ejpam-4843	143	62	′′((1−	′′((1−	NOUN
ejpam-4843	143	63	l	l	NOUN
ejpam-4843	143	64	2	2	X
ejpam-4843	143	65	)	)	PUNCT
ejpam-4843	143	66	a⊗	a⊗	NOUN
ejpam-4843	143	67	1	1	NUM
ejpam-4843	143	68	+	+	CCONJ
ejpam-4843	143	69	(	(	PUNCT
ejpam-4843	143	70	1	1	NUM
ejpam-4843	143	71	+	+	NUM
ejpam-4843	143	72	l	l	NOUN
ejpam-4843	143	73	2	2	X
ejpam-4843	143	74	)	)	PUNCT
ejpam-4843	143	75	1⊗b	1⊗b	NUM
ejpam-4843	143	76	)	)	PUNCT
ejpam-4843	143	77	∥∥∥∥	∥∥∥∥	PROPN
ejpam-4843	143	78	dl	dl	PROPN
ejpam-4843	143	79	)	)	PUNCT
ejpam-4843	143	80	.	.	PUNCT
ejpam-4843	144	1	observe	observe	VERB
ejpam-4843	144	2	that	that	SCONJ
ejpam-4843	144	3	by	by	ADP
ejpam-4843	144	4	lemma	lemma	PROPN
ejpam-4843	144	5	1,∣∣∣∣f	1,∣∣∣∣f	NUM
ejpam-4843	144	6	′′((1−	′′((1−	NOUN
ejpam-4843	144	7	l	l	NOUN
ejpam-4843	144	8	2	2	X
ejpam-4843	144	9	)	)	PUNCT
ejpam-4843	144	10	⊗	⊗	NOUN
ejpam-4843	144	11	1	1	NUM
ejpam-4843	145	1	+	+	NUM
ejpam-4843	145	2	l	l	NOUN
ejpam-4843	145	3	2	2	NUM
ejpam-4843	145	4	1⊗b	1⊗b	NUM
ejpam-4843	145	5	)	)	PUNCT
ejpam-4843	145	6	∣∣∣∣	∣∣∣∣	PROPN
ejpam-4843	146	1	=	=	SYM
ejpam-4843	146	2	∫	∫	PROPN
ejpam-4843	147	1	i	i	PRON
ejpam-4843	147	2	∫	∫	VERB
ejpam-4843	148	1	i	i	PRON
ejpam-4843	148	2	∣∣∣∣f	∣∣∣∣f	VERB
ejpam-4843	148	3	′′((1−	′′((1−	ADJ
ejpam-4843	149	1	l	l	NOUN
ejpam-4843	149	2	2	2	X
ejpam-4843	149	3	)	)	PUNCT
ejpam-4843	149	4	t+	t+	PUNCT
ejpam-4843	149	5	l	l	NOUN
ejpam-4843	149	6	2	2	NUM
ejpam-4843	149	7	s	s	PART
ejpam-4843	149	8	)	)	PUNCT
ejpam-4843	149	9	∣∣∣∣det	∣∣∣∣det	PROPN
ejpam-4843	149	10	⊗	⊗	PROPN
ejpam-4843	149	11	dfs	dfs	PROPN
ejpam-4843	149	12	.	.	PUNCT
ejpam-4843	150	1	since	since	SCONJ
ejpam-4843	150	2	∣∣∣∣f	∣∣∣∣f	ADJ
ejpam-4843	150	3	′′((1−	′′((1−	ADJ
ejpam-4843	150	4	l	l	NOUN
ejpam-4843	150	5	2	2	X
ejpam-4843	150	6	)	)	PUNCT
ejpam-4843	150	7	t+	t+	PUNCT
ejpam-4843	150	8	l	l	NOUN
ejpam-4843	150	9	2	2	NUM
ejpam-4843	150	10	s	s	PART
ejpam-4843	150	11	)	)	PUNCT
ejpam-4843	150	12	⩽	⩽	ADJ
ejpam-4843	150	13	∥∥f	∥∥f	PROPN
ejpam-4843	150	14	′′∥∥	′′∥∥	NOUN
ejpam-4843	150	15	i,+∞	i,+∞	CCONJ
ejpam-4843	150	16	for	for	ADP
ejpam-4843	150	17	all	all	DET
ejpam-4843	150	18	l	l	NOUN
ejpam-4843	150	19	∈	∈	PROPN
ejpam-4843	151	1	[	[	X
ejpam-4843	151	2	0	0	NUM
ejpam-4843	151	3	,	,	PUNCT
ejpam-4843	151	4	1	1	NUM
ejpam-4843	151	5	]	]	PUNCT
ejpam-4843	151	6	and	and	CCONJ
ejpam-4843	151	7	t	t	PROPN
ejpam-4843	151	8	,	,	PUNCT
ejpam-4843	151	9	s	s	PROPN
ejpam-4843	151	10	∈	∈	PROPN
ejpam-4843	151	11	i.	i.	NOUN
ejpam-4843	151	12	if	if	SCONJ
ejpam-4843	151	13	we	we	PRON
ejpam-4843	151	14	take	take	VERB
ejpam-4843	151	15	the	the	DET
ejpam-4843	151	16	integral	integral	ADJ
ejpam-4843	151	17	∫	∫	NOUN
ejpam-4843	152	1	i	i	PRON
ejpam-4843	152	2	∫	∫	VERB
ejpam-4843	153	1	i	i	PRON
ejpam-4843	153	2	over	over	ADP
ejpam-4843	153	3	det	det	PROPN
ejpam-4843	153	4	⊗	⊗	PROPN
ejpam-4843	153	5	dfs	dfs	PROPN
ejpam-4843	153	6	,	,	PUNCT
ejpam-4843	153	7	then	then	ADV
ejpam-4843	153	8	we	we	PRON
ejpam-4843	153	9	get∣∣∣∣f	get∣∣∣∣f	VERB
ejpam-4843	153	10	′′((1−	′′((1−	ADV
ejpam-4843	153	11	l	l	NOUN
ejpam-4843	153	12	2	2	X
ejpam-4843	153	13	)	)	PUNCT
ejpam-4843	153	14	⊗	⊗	NOUN
ejpam-4843	153	15	1	1	NUM
ejpam-4843	154	1	+	+	NUM
ejpam-4843	154	2	l	l	NOUN
ejpam-4843	154	3	2	2	NUM
ejpam-4843	154	4	1⊗b	1⊗b	NUM
ejpam-4843	154	5	)	)	PUNCT
ejpam-4843	154	6	∣∣∣∣	∣∣∣∣	PROPN
ejpam-4843	155	1	=	=	SYM
ejpam-4843	155	2	∫	∫	PROPN
ejpam-4843	156	1	i	i	PRON
ejpam-4843	156	2	∫	∫	VERB
ejpam-4843	157	1	i	i	PRON
ejpam-4843	157	2	∣∣∣∣f	∣∣∣∣f	VERB
ejpam-4843	157	3	′′((1−	′′((1−	ADJ
ejpam-4843	158	1	l	l	NOUN
ejpam-4843	158	2	2	2	X
ejpam-4843	158	3	)	)	PUNCT
ejpam-4843	158	4	t+	t+	PUNCT
ejpam-4843	158	5	l	l	NOUN
ejpam-4843	158	6	2	2	NUM
ejpam-4843	158	7	s	s	PART
ejpam-4843	158	8	)	)	PUNCT
ejpam-4843	159	1	∣∣∣∣det	∣∣∣∣det	PROPN
ejpam-4843	159	2	⊗	⊗	PROPN
ejpam-4843	159	3	dfs	dfs	PROPN
ejpam-4843	159	4	⩽	⩽	PROPN
ejpam-4843	159	5	∥∥f	∥∥f	PROPN
ejpam-4843	159	6	′∥∥	′∥∥	PROPN
ejpam-4843	160	1	i,+∞	i,+∞	CCONJ
ejpam-4843	160	2	∫	∫	PROPN
ejpam-4843	161	1	i	i	PRON
ejpam-4843	161	2	∫	∫	VERB
ejpam-4843	162	1	i	i	PROPN
ejpam-4843	162	2	det	det	PROPN
ejpam-4843	163	1	⊗	⊗	PROPN
ejpam-4843	164	1	dfs	dfs	PROPN
ejpam-4843	165	1	=	=	NOUN
ejpam-4843	165	2	∥∥f	∥∥f	PROPN
ejpam-4843	165	3	′∥∥	′∥∥	VERB
ejpam-4843	165	4	i,+∞	i,+∞	ADV
ejpam-4843	165	5	.	.	PUNCT
ejpam-4843	166	1	this	this	PRON
ejpam-4843	166	2	implies	imply	VERB
ejpam-4843	166	3	that	that	SCONJ
ejpam-4843	166	4	∣∣∣∣f	∣∣∣∣f	ADJ
ejpam-4843	166	5	′′((1−	′′((1−	ADJ
ejpam-4843	166	6	l	l	NOUN
ejpam-4843	166	7	2	2	X
ejpam-4843	166	8	)	)	PUNCT
ejpam-4843	166	9	⊗	⊗	NOUN
ejpam-4843	166	10	1	1	NUM
ejpam-4843	167	1	+	+	NUM
ejpam-4843	167	2	l	l	NOUN
ejpam-4843	167	3	2	2	NUM
ejpam-4843	167	4	1⊗b	1⊗b	NUM
ejpam-4843	167	5	)	)	PUNCT
ejpam-4843	167	6	∣∣∣∣	∣∣∣∣	PROPN
ejpam-4843	167	7	⩽	⩽	ADJ
ejpam-4843	167	8	∥∥f	∥∥f	PROPN
ejpam-4843	167	9	′′∥∥i,+∞	′′∥∥i,+∞	VERB
ejpam-4843	167	10	for	for	ADP
ejpam-4843	167	11	l	l	NOUN
ejpam-4843	167	12	∈	∈	PROPN
ejpam-4843	168	1	[	[	X
ejpam-4843	168	2	0	0	NUM
ejpam-4843	168	3	,	,	PUNCT
ejpam-4843	168	4	1	1	NUM
ejpam-4843	168	5	]	]	PUNCT
ejpam-4843	168	6	,	,	PUNCT
ejpam-4843	168	7	similarly	similarly	ADV
ejpam-4843	168	8	we	we	PRON
ejpam-4843	168	9	have∥∥∥∥f	have∥∥∥∥f	VERB
ejpam-4843	168	10	′′((1−	′′((1−	ADV
ejpam-4843	168	11	l	l	NOUN
ejpam-4843	168	12	2	2	X
ejpam-4843	168	13	)	)	PUNCT
ejpam-4843	168	14	a⊗	a⊗	NOUN
ejpam-4843	168	15	1	1	NUM
ejpam-4843	168	16	+	+	CCONJ
ejpam-4843	168	17	(	(	PUNCT
ejpam-4843	168	18	1	1	NUM
ejpam-4843	168	19	+	+	NUM
ejpam-4843	168	20	l	l	NOUN
ejpam-4843	168	21	2	2	X
ejpam-4843	168	22	)	)	PUNCT
ejpam-4843	168	23	1⊗b	1⊗b	NUM
ejpam-4843	168	24	)	)	PUNCT
ejpam-4843	168	25	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-4843	168	26	⩽	⩽	ADJ
ejpam-4843	168	27	∥∥f	∥∥f	PROPN
ejpam-4843	168	28	′′∥∥	′′∥∥	NOUN
ejpam-4843	168	29	i,+∞	i,+∞	ADV
ejpam-4843	168	30	.	.	PUNCT
ejpam-4843	169	1	which	which	PRON
ejpam-4843	169	2	combined	combine	VERB
ejpam-4843	169	3	gives	give	VERB
ejpam-4843	169	4	us	we	PRON
ejpam-4843	169	5	the	the	DET
ejpam-4843	169	6	following	follow	VERB
ejpam-4843	169	7	∥1⊗b	∥1⊗b	PUNCT
ejpam-4843	169	8	−a⊗	−a⊗	PROPN
ejpam-4843	169	9	1∥2	1∥2	NUM
ejpam-4843	169	10	16	16	NUM
ejpam-4843	169	11	(	(	PUNCT
ejpam-4843	169	12	∫	∫	PROPN
ejpam-4843	169	13	1	1	NUM
ejpam-4843	169	14	0	0	NUM
ejpam-4843	169	15	l2	l2	NOUN
ejpam-4843	169	16	∥∥∥∥f	∥∥∥∥f	NOUN
ejpam-4843	169	17	′′((1−	′′((1−	NOUN
ejpam-4843	169	18	l	l	NOUN
ejpam-4843	169	19	2	2	X
ejpam-4843	169	20	)	)	PUNCT
ejpam-4843	169	21	a⊗	a⊗	NOUN
ejpam-4843	169	22	1	1	NUM
ejpam-4843	169	23	+	+	NUM
ejpam-4843	169	24	l	l	NOUN
ejpam-4843	169	25	2	2	NUM
ejpam-4843	169	26	1⊗b	1⊗b	NUM
ejpam-4843	169	27	)	)	PUNCT
ejpam-4843	169	28	∥∥∥∥	∥∥∥∥	PROPN
ejpam-4843	170	1	dl	dl	PROPN
ejpam-4843	170	2	v.	v.	ADP
ejpam-4843	170	3	stojiljković	stojiljković	PROPN
ejpam-4843	170	4	/	/	SYM
ejpam-4843	170	5	eur	eur	PROPN
ejpam-4843	170	6	.	.	PUNCT
ejpam-4843	171	1	j.	j.	PROPN
ejpam-4843	171	2	pure	pure	PROPN
ejpam-4843	171	3	appl	appl	PROPN
ejpam-4843	171	4	.	.	PROPN
ejpam-4843	171	5	math	math	PROPN
ejpam-4843	171	6	,	,	PUNCT
ejpam-4843	171	7	16	16	NUM
ejpam-4843	171	8	(	(	PUNCT
ejpam-4843	171	9	3	3	NUM
ejpam-4843	171	10	)	)	PUNCT
ejpam-4843	171	11	(	(	PUNCT
ejpam-4843	171	12	2023	2023	NUM
ejpam-4843	171	13	)	)	PUNCT
ejpam-4843	171	14	,	,	PUNCT
ejpam-4843	171	15	1421	1421	NUM
ejpam-4843	171	16	-	-	SYM
ejpam-4843	171	17	1433	1433	NUM
ejpam-4843	171	18	1427	1427	NUM
ejpam-4843	171	19	+	+	CCONJ
ejpam-4843	171	20	∫	∫	PROPN
ejpam-4843	171	21	1	1	NUM
ejpam-4843	171	22	0	0	NUM
ejpam-4843	171	23	(	(	PUNCT
ejpam-4843	171	24	l	l	NOUN
ejpam-4843	171	25	−	−	PROPN
ejpam-4843	172	1	1)2	1)2	NUM
ejpam-4843	172	2	∥∥∥∥f	∥∥∥∥f	NOUN
ejpam-4843	172	3	′′((1−	′′((1−	NOUN
ejpam-4843	172	4	l	l	NOUN
ejpam-4843	172	5	2	2	X
ejpam-4843	172	6	)	)	PUNCT
ejpam-4843	172	7	a⊗	a⊗	NOUN
ejpam-4843	172	8	1	1	NUM
ejpam-4843	172	9	+	+	CCONJ
ejpam-4843	172	10	(	(	PUNCT
ejpam-4843	172	11	1	1	NUM
ejpam-4843	172	12	+	+	NUM
ejpam-4843	172	13	l	l	NOUN
ejpam-4843	172	14	2	2	X
ejpam-4843	172	15	)	)	PUNCT
ejpam-4843	172	16	1⊗b	1⊗b	NUM
ejpam-4843	172	17	)	)	PUNCT
ejpam-4843	172	18	∥∥∥∥	∥∥∥∥	PROPN
ejpam-4843	172	19	dl	dl	PROPN
ejpam-4843	172	20	)	)	PUNCT
ejpam-4843	172	21	⩽	⩽	NOUN
ejpam-4843	172	22	∥1⊗b	∥1⊗b	PUNCT
ejpam-4843	173	1	−a⊗	−a⊗	PROPN
ejpam-4843	173	2	1∥2	1∥2	NUM
ejpam-4843	173	3	16	16	NUM
ejpam-4843	173	4	(	(	PUNCT
ejpam-4843	173	5	∫	∫	PROPN
ejpam-4843	173	6	1	1	NUM
ejpam-4843	173	7	0	0	NUM
ejpam-4843	173	8	l2	l2	NOUN
ejpam-4843	173	9	∥∥f	∥∥f	ADJ
ejpam-4843	173	10	′′∥∥	′′∥∥	NOUN
ejpam-4843	173	11	i,+∞	i,+∞	PROPN
ejpam-4843	173	12	dl	dl	PROPN
ejpam-4843	174	1	+	+	CCONJ
ejpam-4843	174	2	∫	∫	PROPN
ejpam-4843	174	3	1	1	NUM
ejpam-4843	174	4	0	0	NUM
ejpam-4843	174	5	(	(	PUNCT
ejpam-4843	174	6	l	l	NOUN
ejpam-4843	174	7	−	−	PROPN
ejpam-4843	174	8	1)2	1)2	NUM
ejpam-4843	174	9	∥∥f	∥∥f	PROPN
ejpam-4843	174	10	′′∥∥	′′∥∥	NOUN
ejpam-4843	174	11	i,+∞	i,+∞	ADV
ejpam-4843	174	12	dl	dl	PROPN
ejpam-4843	174	13	)	)	PUNCT
ejpam-4843	174	14	.	.	PUNCT
ejpam-4843	175	1	solving	solve	VERB
ejpam-4843	175	2	the	the	DET
ejpam-4843	175	3	resulting	result	VERB
ejpam-4843	175	4	integrals	integral	NOUN
ejpam-4843	175	5	and	and	CCONJ
ejpam-4843	175	6	simplifying	simplifying	NOUN
ejpam-4843	175	7	,	,	PUNCT
ejpam-4843	175	8	we	we	PRON
ejpam-4843	175	9	obtain	obtain	VERB
ejpam-4843	175	10	the	the	DET
ejpam-4843	175	11	desired	desire	VERB
ejpam-4843	175	12	result	result	NOUN
ejpam-4843	175	13	.	.	PUNCT
ejpam-4843	176	1	theorem	theorem	ADJ
ejpam-4843	176	2	4	4	NUM
ejpam-4843	176	3	.	.	PUNCT
ejpam-4843	176	4	assume	assume	VERB
ejpam-4843	176	5	that	that	SCONJ
ejpam-4843	176	6	f	f	PROPN
ejpam-4843	176	7	is	be	AUX
ejpam-4843	176	8	continuously	continuously	ADV
ejpam-4843	176	9	differentiable	differentiable	ADJ
ejpam-4843	176	10	on	on	ADP
ejpam-4843	176	11	i	i	PRON
ejpam-4843	176	12	and	and	CCONJ
ejpam-4843	176	13	f	f	X
ejpam-4843	177	1	′′	′′	PROPN
ejpam-4843	177	2	is	be	AUX
ejpam-4843	177	3	convex	convex	ADJ
ejpam-4843	177	4	and	and	CCONJ
ejpam-4843	177	5	a	a	DET
ejpam-4843	177	6	,	,	PUNCT
ejpam-4843	177	7	b	b	NOUN
ejpam-4843	177	8	are	be	AUX
ejpam-4843	177	9	selfadjoint	selfadjoint	VERB
ejpam-4843	177	10	operators	operator	NOUN
ejpam-4843	177	11	with	with	ADP
ejpam-4843	177	12	sp(a	sp(a	NOUN
ejpam-4843	177	13	)	)	PUNCT
ejpam-4843	177	14	,	,	PUNCT
ejpam-4843	177	15	sp(b	sp(b	PROPN
ejpam-4843	177	16	)	)	PUNCT
ejpam-4843	178	1	⊂	⊂	PROPN
ejpam-4843	179	1	i	i	PRON
ejpam-4843	179	2	,	,	PUNCT
ejpam-4843	179	3	then∥∥∥∥∫	then∥∥∥∥∫	PROPN
ejpam-4843	179	4	1	1	NUM
ejpam-4843	179	5	0	0	NUM
ejpam-4843	179	6	f((1−	f((1−	ADJ
ejpam-4843	179	7	λ)a⊗	λ)a⊗	X
ejpam-4843	179	8	1	1	NUM
ejpam-4843	180	1	+	+	CCONJ
ejpam-4843	180	2	λ1⊗b)dλ−	λ1⊗b)dλ−	PROPN
ejpam-4843	180	3	f	f	PROPN
ejpam-4843	180	4	(	(	PUNCT
ejpam-4843	180	5	a⊗	a⊗	NOUN
ejpam-4843	180	6	1	1	NUM
ejpam-4843	180	7	+	+	CCONJ
ejpam-4843	180	8	1⊗b	1⊗b	NUM
ejpam-4843	180	9	2	2	NUM
ejpam-4843	180	10	)	)	PUNCT
ejpam-4843	180	11	∥∥∥∥	∥∥∥∥	NUM
ejpam-4843	180	12	⩽	⩽	ADJ
ejpam-4843	180	13	∥1⊗b	∥1⊗b	PUNCT
ejpam-4843	181	1	−a⊗	−a⊗	PROPN
ejpam-4843	181	2	1∥2	1∥2	NUM
ejpam-4843	181	3	48	48	NUM
ejpam-4843	181	4	(	(	PUNCT
ejpam-4843	181	5	∥∥f	∥∥f	PROPN
ejpam-4843	181	6	′′(a)∥∥+	′′(a)∥∥+	NUM
ejpam-4843	181	7	∥∥f	∥∥f	ADJ
ejpam-4843	181	8	′′(b	′′(b	NOUN
ejpam-4843	181	9	)	)	PUNCT
ejpam-4843	181	10	∥∥	∥∥	X
ejpam-4843	181	11	)	)	PUNCT
ejpam-4843	181	12	.	.	PUNCT
ejpam-4843	182	1	proof	proof	NOUN
ejpam-4843	182	2	.	.	PUNCT
ejpam-4843	183	1	since	since	SCONJ
ejpam-4843	183	2	|f	|f	PROPN
ejpam-4843	183	3	′′|	′′|	X
ejpam-4843	183	4	is	be	AUX
ejpam-4843	183	5	convex	convex	ADJ
ejpam-4843	183	6	on	on	ADP
ejpam-4843	183	7	i	i	PRON
ejpam-4843	183	8	,	,	PUNCT
ejpam-4843	183	9	then	then	ADV
ejpam-4843	183	10	we	we	PRON
ejpam-4843	183	11	get∣∣∣∣f	get∣∣∣∣f	VERB
ejpam-4843	183	12	′′((1−	′′((1−	ADV
ejpam-4843	183	13	l	l	NOUN
ejpam-4843	183	14	2	2	X
ejpam-4843	183	15	)	)	PUNCT
ejpam-4843	183	16	t+	t+	PUNCT
ejpam-4843	183	17	l	l	NOUN
ejpam-4843	183	18	2	2	NUM
ejpam-4843	183	19	s	s	PART
ejpam-4843	183	20	)	)	PUNCT
ejpam-4843	183	21	∣∣∣∣	∣∣∣∣	NOUN
ejpam-4843	183	22	⩽	⩽	NOUN
ejpam-4843	183	23	(	(	PUNCT
ejpam-4843	183	24	1−	1−	NUM
ejpam-4843	183	25	l	l	NOUN
ejpam-4843	183	26	2	2	NUM
ejpam-4843	183	27	)	)	PUNCT
ejpam-4843	183	28	|f	|f	PROPN
ejpam-4843	184	1	′′(t)|+	′′(t)|+	PROPN
ejpam-4843	184	2	l	l	NOUN
ejpam-4843	184	3	2	2	NUM
ejpam-4843	184	4	|f	|f	PROPN
ejpam-4843	184	5	′′(s)|	′′(s)|	PROPN
ejpam-4843	184	6	for	for	ADP
ejpam-4843	184	7	all	all	DET
ejpam-4843	184	8	l	l	NOUN
ejpam-4843	184	9	∈	∈	PROPN
ejpam-4843	185	1	[	[	X
ejpam-4843	185	2	0	0	NUM
ejpam-4843	185	3	,	,	PUNCT
ejpam-4843	185	4	1	1	NUM
ejpam-4843	185	5	]	]	PUNCT
ejpam-4843	185	6	and	and	CCONJ
ejpam-4843	185	7	t	t	PROPN
ejpam-4843	185	8	,	,	PUNCT
ejpam-4843	185	9	s	s	PROPN
ejpam-4843	185	10	∈	∈	PROPN
ejpam-4843	185	11	i.	i.	NOUN
ejpam-4843	185	12	if	if	SCONJ
ejpam-4843	185	13	we	we	PRON
ejpam-4843	185	14	take	take	VERB
ejpam-4843	185	15	the	the	DET
ejpam-4843	185	16	integral	integral	ADJ
ejpam-4843	185	17	∫	∫	NOUN
ejpam-4843	186	1	i	i	PRON
ejpam-4843	186	2	∫	∫	VERB
ejpam-4843	187	1	i	i	PRON
ejpam-4843	187	2	over	over	ADP
ejpam-4843	187	3	det	det	PROPN
ejpam-4843	187	4	⊗	⊗	PROPN
ejpam-4843	187	5	dfs	dfs	PROPN
ejpam-4843	187	6	,	,	PUNCT
ejpam-4843	187	7	then	then	ADV
ejpam-4843	187	8	we	we	PRON
ejpam-4843	187	9	get∣∣∣∣f	get∣∣∣∣f	VERB
ejpam-4843	187	10	′′((1−	′′((1−	ADV
ejpam-4843	187	11	l	l	NOUN
ejpam-4843	187	12	2	2	X
ejpam-4843	187	13	)	)	PUNCT
ejpam-4843	187	14	a⊗	a⊗	NOUN
ejpam-4843	187	15	1	1	NUM
ejpam-4843	187	16	+	+	NUM
ejpam-4843	187	17	l	l	NOUN
ejpam-4843	187	18	2	2	NUM
ejpam-4843	187	19	1⊗b	1⊗b	NUM
ejpam-4843	187	20	)	)	PUNCT
ejpam-4843	187	21	∣∣∣∣	∣∣∣∣	PROPN
ejpam-4843	188	1	=	=	SYM
ejpam-4843	188	2	∫	∫	PROPN
ejpam-4843	189	1	i	i	PRON
ejpam-4843	189	2	∫	∫	VERB
ejpam-4843	190	1	i	i	PRON
ejpam-4843	190	2	∣∣∣∣f	∣∣∣∣f	VERB
ejpam-4843	190	3	′′((1−	′′((1−	ADJ
ejpam-4843	191	1	l	l	NOUN
ejpam-4843	191	2	2	2	X
ejpam-4843	191	3	)	)	PUNCT
ejpam-4843	191	4	t+	t+	PUNCT
ejpam-4843	191	5	l	l	NOUN
ejpam-4843	191	6	2	2	NUM
ejpam-4843	191	7	s	s	PART
ejpam-4843	191	8	)	)	PUNCT
ejpam-4843	192	1	∣∣∣∣det	∣∣∣∣det	PROPN
ejpam-4843	192	2	⊗	⊗	PROPN
ejpam-4843	192	3	dfs	dfs	PROPN
ejpam-4843	192	4	⩽	⩽	PROPN
ejpam-4843	192	5	∫	∫	PROPN
ejpam-4843	193	1	i	i	PRON
ejpam-4843	193	2	∫	∫	VERB
ejpam-4843	194	1	i	i	PRON
ejpam-4843	195	1	[	[	X
ejpam-4843	195	2	(	(	PUNCT
ejpam-4843	195	3	1−	1−	NUM
ejpam-4843	195	4	l	l	NOUN
ejpam-4843	195	5	2	2	NUM
ejpam-4843	195	6	)	)	PUNCT
ejpam-4843	195	7	|f	|f	PROPN
ejpam-4843	195	8	′′(t)|+	′′(t)|+	PROPN
ejpam-4843	195	9	l	l	NOUN
ejpam-4843	195	10	2	2	NUM
ejpam-4843	195	11	|f	|f	PROPN
ejpam-4843	195	12	′′(s)|	′′(s)|	PROPN
ejpam-4843	195	13	]	]	PUNCT
ejpam-4843	196	1	det	det	PROPN
ejpam-4843	196	2	⊗	⊗	PROPN
ejpam-4843	196	3	dfs	dfs	PROPN
ejpam-4843	196	4	=	=	PRON
ejpam-4843	196	5	(	(	PUNCT
ejpam-4843	196	6	1−	1−	NUM
ejpam-4843	196	7	l	l	NOUN
ejpam-4843	196	8	2	2	NUM
ejpam-4843	196	9	)	)	PUNCT
ejpam-4843	196	10	|f	|f	PROPN
ejpam-4843	197	1	′′(a)|	′′(a)|	PROPN
ejpam-4843	197	2	⊗	⊗	PROPN
ejpam-4843	197	3	1	1	NUM
ejpam-4843	198	1	+	+	NUM
ejpam-4843	198	2	l	l	NOUN
ejpam-4843	198	3	2	2	NUM
ejpam-4843	198	4	1⊗	1⊗	NUM
ejpam-4843	198	5	|f	|f	PROPN
ejpam-4843	198	6	′′(b)|	′′(b)|	VERB
ejpam-4843	198	7	for	for	ADP
ejpam-4843	198	8	all	all	DET
ejpam-4843	198	9	l	l	NOUN
ejpam-4843	198	10	∈	∈	PROPN
ejpam-4843	199	1	[	[	X
ejpam-4843	199	2	0	0	NUM
ejpam-4843	199	3	,	,	PUNCT
ejpam-4843	199	4	1	1	NUM
ejpam-4843	199	5	]	]	PUNCT
ejpam-4843	199	6	.	.	PUNCT
ejpam-4843	200	1	if	if	SCONJ
ejpam-4843	200	2	we	we	PRON
ejpam-4843	200	3	take	take	VERB
ejpam-4843	200	4	the	the	DET
ejpam-4843	200	5	norm	norm	NOUN
ejpam-4843	200	6	in	in	ADP
ejpam-4843	200	7	the	the	DET
ejpam-4843	200	8	inequality	inequality	NOUN
ejpam-4843	200	9	,	,	PUNCT
ejpam-4843	200	10	we	we	PRON
ejpam-4843	200	11	get	get	VERB
ejpam-4843	200	12	the	the	DET
ejpam-4843	200	13	following∥∥∥∥f	following∥∥∥∥f	PROPN
ejpam-4843	200	14	′′((1−	′′((1−	NOUN
ejpam-4843	200	15	l	l	NOUN
ejpam-4843	200	16	2	2	X
ejpam-4843	200	17	)	)	PUNCT
ejpam-4843	200	18	a⊗	a⊗	NOUN
ejpam-4843	200	19	1	1	NUM
ejpam-4843	200	20	+	+	NUM
ejpam-4843	200	21	l	l	NOUN
ejpam-4843	200	22	2	2	NUM
ejpam-4843	200	23	1⊗b	1⊗b	NUM
ejpam-4843	200	24	)	)	PUNCT
ejpam-4843	200	25	∥∥∥∥	∥∥∥∥	PROPN
ejpam-4843	201	1	⩽	⩽	PROPN
ejpam-4843	201	2	∥∥∥∥(1−	∥∥∥∥(1−	PROPN
ejpam-4843	201	3	l	l	NOUN
ejpam-4843	201	4	2	2	NUM
ejpam-4843	201	5	)	)	PUNCT
ejpam-4843	201	6	|f	|f	PROPN
ejpam-4843	202	1	′′(a)|	′′(a)|	PROPN
ejpam-4843	202	2	⊗	⊗	PROPN
ejpam-4843	202	3	1	1	NUM
ejpam-4843	203	1	+	+	NUM
ejpam-4843	203	2	l	l	NOUN
ejpam-4843	203	3	2	2	NUM
ejpam-4843	203	4	1⊗	1⊗	NUM
ejpam-4843	203	5	|f	|f	PROPN
ejpam-4843	203	6	′′(b)|	′′(b)|	VERB
ejpam-4843	203	7	∥∥∥∥	∥∥∥∥	PROPN
ejpam-4843	203	8	⩽	⩽	NOUN
ejpam-4843	203	9	(	(	PUNCT
ejpam-4843	203	10	1−	1−	NUM
ejpam-4843	203	11	l	l	NOUN
ejpam-4843	203	12	2	2	NUM
ejpam-4843	203	13	)	)	PUNCT
ejpam-4843	203	14	∥∥|f	∥∥|f	ADV
ejpam-4843	203	15	′′(a)|	′′(a)|	PROPN
ejpam-4843	203	16	⊗	⊗	PROPN
ejpam-4843	203	17	1	1	NUM
ejpam-4843	203	18	∥∥+	∥∥+	SYM
ejpam-4843	203	19	l	l	NOUN
ejpam-4843	203	20	2	2	NUM
ejpam-4843	203	21	∥∥1⊗	∥∥1⊗	NOUN
ejpam-4843	203	22	|f	|f	PROPN
ejpam-4843	204	1	′′(b)|	′′(b)|	VERB
ejpam-4843	204	2	∥∥	∥∥	X
ejpam-4843	204	3	=	=	SYM
ejpam-4843	204	4	(	(	PUNCT
ejpam-4843	204	5	1−	1−	NUM
ejpam-4843	204	6	l	l	NOUN
ejpam-4843	204	7	2	2	NUM
ejpam-4843	204	8	)	)	PUNCT
ejpam-4843	204	9	∥∥f	∥∥f	PROPN
ejpam-4843	204	10	′′(a)∥∥+	′′(a)∥∥+	PROPN
ejpam-4843	204	11	l	l	NOUN
ejpam-4843	204	12	2	2	NUM
ejpam-4843	204	13	∥∥f	∥∥f	NOUN
ejpam-4843	204	14	′′(b	′′(b	NOUN
ejpam-4843	204	15	)	)	PUNCT
ejpam-4843	204	16	∥∥	∥∥	X
ejpam-4843	204	17	.	.	PUNCT
ejpam-4843	205	1	similarly	similarly	ADV
ejpam-4843	205	2	,	,	PUNCT
ejpam-4843	205	3	we	we	PRON
ejpam-4843	205	4	get∥∥∥∥f	get∥∥∥∥f	VERB
ejpam-4843	205	5	′′((1−	′′((1−	ADJ
ejpam-4843	205	6	l	l	NOUN
ejpam-4843	205	7	2	2	X
ejpam-4843	205	8	)	)	PUNCT
ejpam-4843	205	9	a⊗	a⊗	NOUN
ejpam-4843	205	10	1	1	NUM
ejpam-4843	205	11	+	+	CCONJ
ejpam-4843	205	12	(	(	PUNCT
ejpam-4843	205	13	1	1	NUM
ejpam-4843	205	14	+	+	NUM
ejpam-4843	205	15	l	l	NOUN
ejpam-4843	205	16	2	2	X
ejpam-4843	205	17	)	)	PUNCT
ejpam-4843	205	18	1⊗b	1⊗b	NUM
ejpam-4843	205	19	)	)	PUNCT
ejpam-4843	205	20	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-4843	206	1	⩽	⩽	NOUN
ejpam-4843	206	2	1−	1−	NUM
ejpam-4843	206	3	l	l	NOUN
ejpam-4843	206	4	2	2	NUM
ejpam-4843	206	5	∥∥f	∥∥f	NOUN
ejpam-4843	206	6	′′(a)∥∥+	′′(a)∥∥+	NOUN
ejpam-4843	206	7	1	1	NUM
ejpam-4843	206	8	+	+	NUM
ejpam-4843	206	9	l	l	NOUN
ejpam-4843	206	10	2	2	NUM
ejpam-4843	206	11	∥∥f	∥∥f	NOUN
ejpam-4843	206	12	′′(b	′′(b	NOUN
ejpam-4843	206	13	)	)	PUNCT
ejpam-4843	206	14	∥∥	∥∥	X
ejpam-4843	206	15	.	.	PUNCT
ejpam-4843	207	1	v.	v.	ADP
ejpam-4843	207	2	stojiljković	stojiljković	NOUN
ejpam-4843	207	3	/	/	SYM
ejpam-4843	207	4	eur	eur	PROPN
ejpam-4843	207	5	.	.	PUNCT
ejpam-4843	208	1	j.	j.	PROPN
ejpam-4843	208	2	pure	pure	PROPN
ejpam-4843	208	3	appl	appl	PROPN
ejpam-4843	208	4	.	.	PROPN
ejpam-4843	208	5	math	math	PROPN
ejpam-4843	208	6	,	,	PUNCT
ejpam-4843	208	7	16	16	NUM
ejpam-4843	208	8	(	(	PUNCT
ejpam-4843	208	9	3	3	NUM
ejpam-4843	208	10	)	)	PUNCT
ejpam-4843	208	11	(	(	PUNCT
ejpam-4843	208	12	2023	2023	NUM
ejpam-4843	208	13	)	)	PUNCT
ejpam-4843	208	14	,	,	PUNCT
ejpam-4843	208	15	1421	1421	NUM
ejpam-4843	208	16	-	-	SYM
ejpam-4843	208	17	1433	1433	NUM
ejpam-4843	208	18	1428	1428	NUM
ejpam-4843	208	19	which	which	PRON
ejpam-4843	208	20	when	when	SCONJ
ejpam-4843	208	21	applied	apply	VERB
ejpam-4843	208	22	to	to	ADP
ejpam-4843	208	23	the	the	DET
ejpam-4843	208	24	inequality	inequality	NOUN
ejpam-4843	208	25	obtained	obtain	VERB
ejpam-4843	208	26	in	in	ADP
ejpam-4843	208	27	the	the	DET
ejpam-4843	208	28	previous	previous	ADJ
ejpam-4843	208	29	theorem	theorem	NOUN
ejpam-4843	208	30	,	,	PUNCT
ejpam-4843	208	31	we	we	PRON
ejpam-4843	208	32	obtain	obtain	VERB
ejpam-4843	208	33	the	the	DET
ejpam-4843	208	34	following	follow	VERB
ejpam-4843	208	35	∥1⊗b	∥1⊗b	PUNCT
ejpam-4843	209	1	−a⊗	−a⊗	PROPN
ejpam-4843	209	2	1∥2	1∥2	NUM
ejpam-4843	209	3	16	16	NUM
ejpam-4843	209	4	(	(	PUNCT
ejpam-4843	209	5	∫	∫	PROPN
ejpam-4843	209	6	1	1	NUM
ejpam-4843	209	7	0	0	NUM
ejpam-4843	209	8	l2	l2	NOUN
ejpam-4843	209	9	∥∥∥∥f	∥∥∥∥f	NOUN
ejpam-4843	209	10	′′((1−	′′((1−	NOUN
ejpam-4843	209	11	l	l	NOUN
ejpam-4843	209	12	2	2	X
ejpam-4843	209	13	)	)	PUNCT
ejpam-4843	209	14	a⊗	a⊗	NOUN
ejpam-4843	209	15	1	1	NUM
ejpam-4843	209	16	+	+	NUM
ejpam-4843	209	17	l	l	NOUN
ejpam-4843	209	18	2	2	NUM
ejpam-4843	209	19	1⊗b	1⊗b	NUM
ejpam-4843	209	20	)	)	PUNCT
ejpam-4843	209	21	∥∥∥∥	∥∥∥∥	PROPN
ejpam-4843	209	22	dl	dl	PROPN
ejpam-4843	210	1	+	+	CCONJ
ejpam-4843	210	2	∫	∫	PROPN
ejpam-4843	210	3	1	1	NUM
ejpam-4843	210	4	0	0	NUM
ejpam-4843	210	5	(	(	PUNCT
ejpam-4843	210	6	l	l	NOUN
ejpam-4843	210	7	−	−	PROPN
ejpam-4843	210	8	1)2	1)2	NUM
ejpam-4843	210	9	∥∥∥∥f	∥∥∥∥f	NOUN
ejpam-4843	210	10	′′((1−	′′((1−	NOUN
ejpam-4843	210	11	l	l	NOUN
ejpam-4843	210	12	2	2	X
ejpam-4843	210	13	)	)	PUNCT
ejpam-4843	210	14	a⊗	a⊗	NOUN
ejpam-4843	210	15	1	1	NUM
ejpam-4843	210	16	+	+	CCONJ
ejpam-4843	210	17	(	(	PUNCT
ejpam-4843	210	18	1	1	NUM
ejpam-4843	210	19	+	+	NUM
ejpam-4843	210	20	l	l	NOUN
ejpam-4843	210	21	2	2	X
ejpam-4843	210	22	)	)	PUNCT
ejpam-4843	210	23	1⊗b	1⊗b	NUM
ejpam-4843	210	24	)	)	PUNCT
ejpam-4843	210	25	∥∥∥∥	∥∥∥∥	PROPN
ejpam-4843	210	26	dl	dl	PROPN
ejpam-4843	210	27	)	)	PUNCT
ejpam-4843	210	28	⩽	⩽	NOUN
ejpam-4843	210	29	∥1⊗b	∥1⊗b	PUNCT
ejpam-4843	211	1	−a⊗	−a⊗	PROPN
ejpam-4843	211	2	1∥2	1∥2	NUM
ejpam-4843	211	3	16	16	NUM
ejpam-4843	211	4	(	(	PUNCT
ejpam-4843	211	5	∫	∫	PROPN
ejpam-4843	211	6	1	1	NUM
ejpam-4843	211	7	0	0	NUM
ejpam-4843	211	8	l2	l2	NOUN
ejpam-4843	211	9	(	(	PUNCT
ejpam-4843	211	10	(	(	PUNCT
ejpam-4843	211	11	1−	1−	NUM
ejpam-4843	211	12	l	l	NOUN
ejpam-4843	211	13	2	2	NUM
ejpam-4843	211	14	)	)	PUNCT
ejpam-4843	211	15	∥∥f	∥∥f	PROPN
ejpam-4843	211	16	′′(a)∥∥+	′′(a)∥∥+	PROPN
ejpam-4843	211	17	l	l	NOUN
ejpam-4843	211	18	2	2	NUM
ejpam-4843	211	19	∥∥f	∥∥f	NOUN
ejpam-4843	211	20	′′(b	′′(b	NOUN
ejpam-4843	211	21	)	)	PUNCT
ejpam-4843	211	22	∥∥	∥∥	X
ejpam-4843	211	23	)	)	PUNCT
ejpam-4843	211	24	dl	dl	PROPN
ejpam-4843	212	1	+	+	NUM
ejpam-4843	212	2	∫	∫	PROPN
ejpam-4843	212	3	1	1	NUM
ejpam-4843	212	4	0	0	NUM
ejpam-4843	212	5	(	(	PUNCT
ejpam-4843	212	6	l	l	NOUN
ejpam-4843	212	7	−	−	PROPN
ejpam-4843	212	8	1)2	1)2	NUM
ejpam-4843	212	9	(	(	PUNCT
ejpam-4843	212	10	1−	1−	NUM
ejpam-4843	212	11	l	l	NOUN
ejpam-4843	212	12	2	2	NUM
ejpam-4843	212	13	∥∥f	∥∥f	NOUN
ejpam-4843	212	14	′′(a)∥∥+	′′(a)∥∥+	NOUN
ejpam-4843	212	15	1	1	NUM
ejpam-4843	212	16	+	+	NUM
ejpam-4843	212	17	l	l	NOUN
ejpam-4843	212	18	2	2	NUM
ejpam-4843	212	19	∥∥f	∥∥f	NOUN
ejpam-4843	212	20	′′(b	′′(b	NOUN
ejpam-4843	212	21	)	)	PUNCT
ejpam-4843	212	22	∥∥	∥∥	X
ejpam-4843	212	23	)	)	PUNCT
ejpam-4843	212	24	dl	dl	PROPN
ejpam-4843	212	25	)	)	PUNCT
ejpam-4843	212	26	.	.	PUNCT
ejpam-4843	213	1	which	which	PRON
ejpam-4843	213	2	when	when	SCONJ
ejpam-4843	213	3	simplified	simplify	VERB
ejpam-4843	213	4	after	after	ADP
ejpam-4843	213	5	integrating	integrate	VERB
ejpam-4843	213	6	the	the	DET
ejpam-4843	213	7	terms	term	NOUN
ejpam-4843	213	8	,	,	PUNCT
ejpam-4843	213	9	we	we	PRON
ejpam-4843	213	10	obtain	obtain	VERB
ejpam-4843	213	11	the	the	DET
ejpam-4843	213	12	original	original	ADJ
ejpam-4843	213	13	inequality	inequality	NOUN
ejpam-4843	213	14	.	.	PUNCT
ejpam-4843	214	1	we	we	PRON
ejpam-4843	214	2	recall	recall	VERB
ejpam-4843	214	3	that	that	SCONJ
ejpam-4843	214	4	the	the	DET
ejpam-4843	214	5	function	function	NOUN
ejpam-4843	214	6	f	f	NOUN
ejpam-4843	214	7	:	:	PUNCT
ejpam-4843	214	8	i	i	PRON
ejpam-4843	214	9	→	→	PUNCT
ejpam-4843	214	10	r	r	NOUN
ejpam-4843	214	11	is	be	AUX
ejpam-4843	214	12	quasi	quasi	ADJ
ejpam-4843	214	13	-	-	VERB
ejpam-4843	214	14	convex	convex	ADJ
ejpam-4843	214	15	,	,	PUNCT
ejpam-4843	214	16	if	if	SCONJ
ejpam-4843	214	17	f((1−λ)t+λs	f((1−λ)t+λ	NOUN
ejpam-4843	214	18	)	)	PUNCT
ejpam-4843	214	19	⩽	⩽	ADJ
ejpam-4843	214	20	max(f(t	max(f(t	NOUN
ejpam-4843	214	21	)	)	PUNCT
ejpam-4843	214	22	,	,	PUNCT
ejpam-4843	214	23	f(s	f(	NOUN
ejpam-4843	214	24	)	)	PUNCT
ejpam-4843	214	25	)	)	PUNCT
ejpam-4843	215	1	=	=	PUNCT
ejpam-4843	215	2	1	1	NUM
ejpam-4843	215	3	2(f(t	2(f(t	NUM
ejpam-4843	215	4	)	)	PUNCT
ejpam-4843	216	1	+	+	CCONJ
ejpam-4843	216	2	f(s	f(	NOUN
ejpam-4843	216	3	)	)	PUNCT
ejpam-4843	217	1	+	+	CCONJ
ejpam-4843	217	2	|f(s)−	|f(s)−	NUM
ejpam-4843	217	3	f(t)|	f(t)|	NOUN
ejpam-4843	217	4	)	)	PUNCT
ejpam-4843	217	5	for	for	ADP
ejpam-4843	217	6	all	all	DET
ejpam-4843	217	7	t	t	PROPN
ejpam-4843	217	8	,	,	PUNCT
ejpam-4843	217	9	s	s	VERB
ejpam-4843	217	10	∈	∈	PROPN
ejpam-4843	218	1	i	i	PRON
ejpam-4843	218	2	and	and	CCONJ
ejpam-4843	218	3	λ	λ	X
ejpam-4843	218	4	∈	∈	PROPN
ejpam-4843	219	1	[	[	X
ejpam-4843	219	2	0	0	NUM
ejpam-4843	219	3	,	,	PUNCT
ejpam-4843	219	4	1	1	NUM
ejpam-4843	219	5	]	]	PUNCT
ejpam-4843	219	6	.	.	PUNCT
ejpam-4843	220	1	theorem	theorem	ADJ
ejpam-4843	220	2	5	5	NUM
ejpam-4843	220	3	.	.	PUNCT
ejpam-4843	220	4	assume	assume	VERB
ejpam-4843	220	5	that	that	SCONJ
ejpam-4843	220	6	f	f	PROPN
ejpam-4843	220	7	is	be	AUX
ejpam-4843	220	8	continuously	continuously	ADV
ejpam-4843	220	9	differentiable	differentiable	ADJ
ejpam-4843	220	10	on	on	ADP
ejpam-4843	220	11	i	i	PRON
ejpam-4843	220	12	with	with	ADP
ejpam-4843	220	13	|f	|f	PROPN
ejpam-4843	220	14	′′|	′′|	PUNCT
ejpam-4843	220	15	is	be	AUX
ejpam-4843	220	16	quasi	quasi	ADJ
ejpam-4843	220	17	-	-	NOUN
ejpam-4843	220	18	convex	convex	ADJ
ejpam-4843	220	19	on	on	ADP
ejpam-4843	220	20	i	i	PRON
ejpam-4843	220	21	,	,	PUNCT
ejpam-4843	220	22	a	a	PRON
ejpam-4843	220	23	and	and	CCONJ
ejpam-4843	220	24	b	b	NOUN
ejpam-4843	220	25	are	be	AUX
ejpam-4843	220	26	selfadjoint	selfadjoint	VERB
ejpam-4843	220	27	operators	operator	NOUN
ejpam-4843	220	28	with	with	ADP
ejpam-4843	220	29	sp(a	sp(a	NOUN
ejpam-4843	220	30	)	)	PUNCT
ejpam-4843	220	31	,	,	PUNCT
ejpam-4843	220	32	sp(b	sp(b	PROPN
ejpam-4843	220	33	)	)	PUNCT
ejpam-4843	221	1	⊂	⊂	PROPN
ejpam-4843	222	1	i	i	PRON
ejpam-4843	222	2	,	,	PUNCT
ejpam-4843	222	3	then∥∥∥∥∫	then∥∥∥∥∫	PROPN
ejpam-4843	222	4	1	1	NUM
ejpam-4843	222	5	0	0	NUM
ejpam-4843	222	6	f((1−	f((1−	ADJ
ejpam-4843	222	7	λ)a⊗	λ)a⊗	X
ejpam-4843	222	8	1	1	NUM
ejpam-4843	223	1	+	+	CCONJ
ejpam-4843	223	2	λ1⊗b)dλ−	λ1⊗b)dλ−	PROPN
ejpam-4843	223	3	f	f	PROPN
ejpam-4843	223	4	(	(	PUNCT
ejpam-4843	223	5	a⊗	a⊗	NOUN
ejpam-4843	223	6	1	1	NUM
ejpam-4843	223	7	+	+	CCONJ
ejpam-4843	223	8	1⊗b	1⊗b	NUM
ejpam-4843	223	9	2	2	NUM
ejpam-4843	223	10	)	)	PUNCT
ejpam-4843	223	11	∥∥∥∥	∥∥∥∥	NUM
ejpam-4843	223	12	⩽	⩽	ADJ
ejpam-4843	223	13	∥1⊗b	∥1⊗b	PUNCT
ejpam-4843	224	1	−a⊗	−a⊗	PROPN
ejpam-4843	224	2	1∥2	1∥2	NUM
ejpam-4843	224	3	48	48	NUM
ejpam-4843	224	4	(	(	PUNCT
ejpam-4843	224	5	∥∥|f	∥∥|f	ADJ
ejpam-4843	224	6	′′(a)|	′′(a)|	PROPN
ejpam-4843	224	7	⊗	⊗	PROPN
ejpam-4843	224	8	1	1	NUM
ejpam-4843	225	1	+	+	SYM
ejpam-4843	225	2	1⊗	1⊗	NUM
ejpam-4843	225	3	|f	|f	PRON
ejpam-4843	226	1	′′(b)|	′′(b)|	PROPN
ejpam-4843	226	2	∥∥+	∥∥+	NUM
ejpam-4843	227	1	∥∥|f	∥∥|f	ADJ
ejpam-4843	227	2	′′(a)|	′′(a)|	PROPN
ejpam-4843	227	3	⊗	⊗	PROPN
ejpam-4843	227	4	1−	1−	NUM
ejpam-4843	228	1	1⊗	1⊗	NUM
ejpam-4843	228	2	|f	|f	PROPN
ejpam-4843	228	3	′′(b)|	′′(b)|	PROPN
ejpam-4843	228	4	∥∥	∥∥	X
ejpam-4843	228	5	)	)	PUNCT
ejpam-4843	228	6	.	.	PUNCT
ejpam-4843	229	1	proof	proof	NOUN
ejpam-4843	229	2	.	.	PUNCT
ejpam-4843	230	1	since	since	SCONJ
ejpam-4843	230	2	|f	|f	PROPN
ejpam-4843	230	3	′′|	′′|	X
ejpam-4843	230	4	is	be	AUX
ejpam-4843	230	5	quasi	quasi	ADJ
ejpam-4843	230	6	-	-	NOUN
ejpam-4843	230	7	convex	convex	ADJ
ejpam-4843	230	8	on	on	ADP
ejpam-4843	230	9	i	i	PRON
ejpam-4843	230	10	,	,	PUNCT
ejpam-4843	230	11	then	then	ADV
ejpam-4843	230	12	we	we	PRON
ejpam-4843	230	13	get∣∣∣∣f	get∣∣∣∣f	VERB
ejpam-4843	230	14	′′((1−	′′((1−	ADV
ejpam-4843	230	15	l	l	NOUN
ejpam-4843	230	16	2	2	X
ejpam-4843	230	17	)	)	PUNCT
ejpam-4843	230	18	t+	t+	PUNCT
ejpam-4843	230	19	l	l	NOUN
ejpam-4843	230	20	2	2	NUM
ejpam-4843	230	21	s	s	PART
ejpam-4843	230	22	)	)	PUNCT
ejpam-4843	230	23	∣∣∣∣	∣∣∣∣	NOUN
ejpam-4843	230	24	⩽	⩽	ADJ
ejpam-4843	230	25	1	1	NUM
ejpam-4843	230	26	2	2	NUM
ejpam-4843	230	27	(	(	PUNCT
ejpam-4843	230	28	|f	|f	NOUN
ejpam-4843	230	29	′′(t)|+	′′(t)|+	PROPN
ejpam-4843	230	30	|f	|f	PRON
ejpam-4843	230	31	′′(s)|+	′′(s)|+	ADV
ejpam-4843	230	32	||f	||f	VERB
ejpam-4843	230	33	′′(t)|	′′(t)|	ADV
ejpam-4843	230	34	−	−	PROPN
ejpam-4843	230	35	|f	|f	PROPN
ejpam-4843	231	1	′′(s)||	′′(s)||	PROPN
ejpam-4843	231	2	)	)	PUNCT
ejpam-4843	231	3	for	for	ADP
ejpam-4843	231	4	all	all	DET
ejpam-4843	231	5	l	l	NOUN
ejpam-4843	231	6	∈	∈	PROPN
ejpam-4843	232	1	[	[	X
ejpam-4843	232	2	0	0	NUM
ejpam-4843	232	3	,	,	PUNCT
ejpam-4843	232	4	1	1	NUM
ejpam-4843	232	5	]	]	PUNCT
ejpam-4843	232	6	and	and	CCONJ
ejpam-4843	232	7	t	t	PROPN
ejpam-4843	232	8	,	,	PUNCT
ejpam-4843	232	9	s	s	PROPN
ejpam-4843	232	10	∈	∈	PROPN
ejpam-4843	232	11	i.	i.	NOUN
ejpam-4843	232	12	if	if	SCONJ
ejpam-4843	232	13	we	we	PRON
ejpam-4843	232	14	take	take	VERB
ejpam-4843	232	15	the	the	DET
ejpam-4843	232	16	integral	integral	ADJ
ejpam-4843	232	17	∫	∫	NOUN
ejpam-4843	233	1	i	i	PRON
ejpam-4843	233	2	∫	∫	VERB
ejpam-4843	234	1	i	i	PRON
ejpam-4843	234	2	over	over	ADP
ejpam-4843	234	3	det	det	PROPN
ejpam-4843	234	4	⊗	⊗	PROPN
ejpam-4843	234	5	dfs	dfs	PROPN
ejpam-4843	234	6	,	,	PUNCT
ejpam-4843	234	7	then	then	ADV
ejpam-4843	234	8	we	we	PRON
ejpam-4843	234	9	get∣∣∣∣f	get∣∣∣∣f	VERB
ejpam-4843	234	10	′′((1−	′′((1−	ADV
ejpam-4843	234	11	l	l	NOUN
ejpam-4843	234	12	2	2	X
ejpam-4843	234	13	)	)	PUNCT
ejpam-4843	234	14	a⊗	a⊗	NOUN
ejpam-4843	234	15	1	1	NUM
ejpam-4843	234	16	+	+	NUM
ejpam-4843	234	17	l	l	NOUN
ejpam-4843	234	18	2	2	NUM
ejpam-4843	234	19	1⊗b	1⊗b	NUM
ejpam-4843	234	20	)	)	PUNCT
ejpam-4843	234	21	∣∣∣∣	∣∣∣∣	PROPN
ejpam-4843	234	22	⩽	⩽	PROPN
ejpam-4843	234	23	∫	∫	PROPN
ejpam-4843	235	1	i	i	PRON
ejpam-4843	235	2	∫	∫	VERB
ejpam-4843	235	3	i	i	PRON
ejpam-4843	235	4	|f	|f	PUNCT
ejpam-4843	236	1	′′	′′	PROPN
ejpam-4843	236	2	(	(	PUNCT
ejpam-4843	236	3	(	(	PUNCT
ejpam-4843	236	4	1−	1−	NUM
ejpam-4843	236	5	l	l	NOUN
ejpam-4843	236	6	2	2	NUM
ejpam-4843	236	7	)	)	PUNCT
ejpam-4843	236	8	t+	t+	PUNCT
ejpam-4843	236	9	l	l	NOUN
ejpam-4843	236	10	2	2	NUM
ejpam-4843	236	11	s	s	PART
ejpam-4843	236	12	)	)	PUNCT
ejpam-4843	236	13	|det	|det	NOUN
ejpam-4843	236	14	⊗	⊗	NOUN
ejpam-4843	236	15	dfs	dfs	PROPN
ejpam-4843	236	16	⩽	⩽	NOUN
ejpam-4843	236	17	1	1	NUM
ejpam-4843	236	18	2	2	NUM
ejpam-4843	236	19	∫	∫	NOUN
ejpam-4843	237	1	i	i	PRON
ejpam-4843	237	2	∫	∫	VERB
ejpam-4843	238	1	i	i	PRON
ejpam-4843	238	2	(	(	PUNCT
ejpam-4843	238	3	|f	|f	PROPN
ejpam-4843	238	4	′′(t)|+	′′(t)|+	PROPN
ejpam-4843	238	5	|f	|f	PRON
ejpam-4843	238	6	′′(s)|+	′′(s)|+	ADV
ejpam-4843	238	7	||f	||f	VERB
ejpam-4843	238	8	′′(t)|	′′(t)|	ADV
ejpam-4843	238	9	−	−	PROPN
ejpam-4843	238	10	|f	|f	PROPN
ejpam-4843	238	11	′′(s)||)det	′′(s)||)det	PROPN
ejpam-4843	238	12	⊗	⊗	PROPN
ejpam-4843	238	13	dfs	dfs	PROPN
ejpam-4843	238	14	=	=	NOUN
ejpam-4843	238	15	1	1	NUM
ejpam-4843	238	16	2	2	NUM
ejpam-4843	238	17	(	(	PUNCT
ejpam-4843	238	18	|f	|f	PROPN
ejpam-4843	238	19	′′(a)|	′′(a)|	PROPN
ejpam-4843	238	20	⊗	⊗	PROPN
ejpam-4843	238	21	1	1	NUM
ejpam-4843	239	1	+	+	SYM
ejpam-4843	239	2	1⊗	1⊗	NUM
ejpam-4843	239	3	|f	|f	PROPN
ejpam-4843	239	4	′′(b)|+	′′(b)|+	ADJ
ejpam-4843	239	5	||f	||f	NOUN
ejpam-4843	239	6	′′(a)|	′′(a)|	PROPN
ejpam-4843	239	7	⊗	⊗	PROPN
ejpam-4843	239	8	1−	1−	NUM
ejpam-4843	240	1	1⊗	1⊗	NUM
ejpam-4843	240	2	|f	|f	PROPN
ejpam-4843	240	3	′′(b)||	′′(b)||	PROPN
ejpam-4843	240	4	)	)	PUNCT
ejpam-4843	240	5	)	)	PUNCT
ejpam-4843	241	1	v.	v.	CCONJ
ejpam-4843	241	2	stojiljković	stojiljković	NOUN
ejpam-4843	241	3	/	/	SYM
ejpam-4843	241	4	eur	eur	PROPN
ejpam-4843	241	5	.	.	PUNCT
ejpam-4843	242	1	j.	j.	PROPN
ejpam-4843	242	2	pure	pure	PROPN
ejpam-4843	242	3	appl	appl	PROPN
ejpam-4843	242	4	.	.	PROPN
ejpam-4843	242	5	math	math	PROPN
ejpam-4843	242	6	,	,	PUNCT
ejpam-4843	242	7	16	16	NUM
ejpam-4843	242	8	(	(	PUNCT
ejpam-4843	242	9	3	3	NUM
ejpam-4843	242	10	)	)	PUNCT
ejpam-4843	242	11	(	(	PUNCT
ejpam-4843	242	12	2023	2023	NUM
ejpam-4843	242	13	)	)	PUNCT
ejpam-4843	242	14	,	,	PUNCT
ejpam-4843	242	15	1421	1421	NUM
ejpam-4843	242	16	-	-	SYM
ejpam-4843	242	17	1433	1433	NUM
ejpam-4843	242	18	1429	1429	NUM
ejpam-4843	242	19	for	for	ADP
ejpam-4843	242	20	all	all	DET
ejpam-4843	242	21	l	l	NOUN
ejpam-4843	242	22	∈	∈	PROPN
ejpam-4843	243	1	[	[	X
ejpam-4843	243	2	0	0	NUM
ejpam-4843	243	3	,	,	PUNCT
ejpam-4843	243	4	1	1	NUM
ejpam-4843	243	5	]	]	PUNCT
ejpam-4843	243	6	.	.	PUNCT
ejpam-4843	244	1	if	if	SCONJ
ejpam-4843	244	2	we	we	PRON
ejpam-4843	244	3	take	take	VERB
ejpam-4843	244	4	the	the	DET
ejpam-4843	244	5	norm	norm	NOUN
ejpam-4843	244	6	,	,	PUNCT
ejpam-4843	244	7	then	then	ADV
ejpam-4843	244	8	we	we	PRON
ejpam-4843	244	9	get∥∥∥∥f	get∥∥∥∥f	VERB
ejpam-4843	244	10	′′((1−	′′((1−	ADJ
ejpam-4843	244	11	l	l	NOUN
ejpam-4843	244	12	2	2	X
ejpam-4843	244	13	)	)	PUNCT
ejpam-4843	244	14	a⊗	a⊗	NOUN
ejpam-4843	244	15	1	1	NUM
ejpam-4843	244	16	+	+	NUM
ejpam-4843	244	17	l	l	NOUN
ejpam-4843	244	18	2	2	NUM
ejpam-4843	244	19	1⊗b	1⊗b	NUM
ejpam-4843	244	20	)	)	PUNCT
ejpam-4843	244	21	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-4843	245	1	⩽	⩽	PROPN
ejpam-4843	245	2	∥∥∥∥12(|f	∥∥∥∥12(|f	PROPN
ejpam-4843	245	3	′′(a)|	′′(a)|	PROPN
ejpam-4843	245	4	⊗	⊗	NOUN
ejpam-4843	245	5	1	1	NUM
ejpam-4843	246	1	+	+	SYM
ejpam-4843	246	2	1⊗	1⊗	NUM
ejpam-4843	246	3	|f	|f	PROPN
ejpam-4843	246	4	′′(b)|+	′′(b)|+	ADJ
ejpam-4843	246	5	||f	||f	NOUN
ejpam-4843	246	6	′′(a)|	′′(a)|	PROPN
ejpam-4843	246	7	⊗	⊗	PROPN
ejpam-4843	246	8	1−	1−	NUM
ejpam-4843	247	1	1⊗	1⊗	NUM
ejpam-4843	247	2	|f	|f	PROPN
ejpam-4843	247	3	′′(b)||	′′(b)||	NOUN
ejpam-4843	247	4	)	)	PUNCT
ejpam-4843	247	5	)	)	PUNCT
ejpam-4843	248	1	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-4843	248	2	⩽	⩽	NOUN
ejpam-4843	248	3	1	1	NUM
ejpam-4843	248	4	2	2	NUM
ejpam-4843	248	5	(	(	PUNCT
ejpam-4843	248	6	∥∥|f	∥∥|f	ADJ
ejpam-4843	248	7	′′(a)|	′′(a)|	PROPN
ejpam-4843	248	8	⊗	⊗	PROPN
ejpam-4843	248	9	1	1	NUM
ejpam-4843	249	1	+	+	SYM
ejpam-4843	249	2	1⊗	1⊗	NUM
ejpam-4843	249	3	|f	|f	PRON
ejpam-4843	250	1	′′(b)|	′′(b)|	PROPN
ejpam-4843	250	2	∥∥+	∥∥+	NUM
ejpam-4843	251	1	∥∥|f	∥∥|f	ADJ
ejpam-4843	251	2	′′(a)|	′′(a)|	PROPN
ejpam-4843	251	3	⊗	⊗	PROPN
ejpam-4843	251	4	1−	1−	NUM
ejpam-4843	252	1	1⊗	1⊗	NUM
ejpam-4843	252	2	|f	|f	PROPN
ejpam-4843	252	3	′′(b)|	′′(b)|	PROPN
ejpam-4843	252	4	∥∥	∥∥	X
ejpam-4843	252	5	)	)	PUNCT
ejpam-4843	252	6	for	for	ADP
ejpam-4843	252	7	all	all	DET
ejpam-4843	252	8	l	l	NOUN
ejpam-4843	252	9	∈	∈	PROPN
ejpam-4843	253	1	[	[	X
ejpam-4843	253	2	0	0	NUM
ejpam-4843	253	3	,	,	PUNCT
ejpam-4843	253	4	1	1	NUM
ejpam-4843	253	5	]	]	PUNCT
ejpam-4843	253	6	.	.	PUNCT
ejpam-4843	254	1	in	in	ADP
ejpam-4843	254	2	a	a	DET
ejpam-4843	254	3	similar	similar	ADJ
ejpam-4843	254	4	way	way	NOUN
ejpam-4843	254	5	,	,	PUNCT
ejpam-4843	254	6	we	we	PRON
ejpam-4843	254	7	obtain∥∥∥∥f	obtain∥∥∥∥f	VERB
ejpam-4843	254	8	′′(1−	′′(1−	PROPN
ejpam-4843	254	9	l	l	NOUN
ejpam-4843	254	10	2	2	NUM
ejpam-4843	254	11	a⊗	a⊗	NOUN
ejpam-4843	254	12	1	1	NUM
ejpam-4843	254	13	+	+	CCONJ
ejpam-4843	254	14	1	1	NUM
ejpam-4843	254	15	+	+	NUM
ejpam-4843	254	16	l	l	NOUN
ejpam-4843	254	17	2	2	NUM
ejpam-4843	254	18	1⊗b	1⊗b	NUM
ejpam-4843	254	19	)	)	PUNCT
ejpam-4843	254	20	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-4843	255	1	⩽	⩽	PROPN
ejpam-4843	255	2	∥∥∥∥12(|f	∥∥∥∥12(|f	PROPN
ejpam-4843	255	3	′′(a)|	′′(a)|	PROPN
ejpam-4843	255	4	⊗	⊗	NOUN
ejpam-4843	255	5	1	1	NUM
ejpam-4843	256	1	+	+	SYM
ejpam-4843	256	2	1⊗	1⊗	NUM
ejpam-4843	256	3	|f	|f	PROPN
ejpam-4843	256	4	′′(b)|+	′′(b)|+	ADJ
ejpam-4843	256	5	||f	||f	NOUN
ejpam-4843	256	6	′′(a)|	′′(a)|	PROPN
ejpam-4843	256	7	⊗	⊗	PROPN
ejpam-4843	256	8	1−	1−	NUM
ejpam-4843	257	1	1⊗	1⊗	NUM
ejpam-4843	257	2	|f	|f	PROPN
ejpam-4843	257	3	′′(b)||	′′(b)||	NOUN
ejpam-4843	257	4	)	)	PUNCT
ejpam-4843	257	5	)	)	PUNCT
ejpam-4843	258	1	∥∥∥∥	∥∥∥∥	PUNCT
ejpam-4843	258	2	⩽	⩽	NOUN
ejpam-4843	258	3	1	1	NUM
ejpam-4843	258	4	2	2	NUM
ejpam-4843	258	5	(	(	PUNCT
ejpam-4843	258	6	∥∥|f	∥∥|f	ADJ
ejpam-4843	258	7	′′(a)|	′′(a)|	PROPN
ejpam-4843	258	8	⊗	⊗	PROPN
ejpam-4843	258	9	1	1	NUM
ejpam-4843	259	1	+	+	SYM
ejpam-4843	259	2	1⊗	1⊗	NUM
ejpam-4843	259	3	|f	|f	PRON
ejpam-4843	260	1	′′(b)|	′′(b)|	PROPN
ejpam-4843	260	2	∥∥+	∥∥+	NUM
ejpam-4843	261	1	∥∥|f	∥∥|f	ADJ
ejpam-4843	261	2	′′(a)|	′′(a)|	PROPN
ejpam-4843	261	3	⊗	⊗	PROPN
ejpam-4843	261	4	1−	1−	NUM
ejpam-4843	262	1	1⊗	1⊗	NUM
ejpam-4843	262	2	|f	|f	PROPN
ejpam-4843	262	3	′′(b)|	′′(b)|	PROPN
ejpam-4843	262	4	∥∥	∥∥	X
ejpam-4843	262	5	)	)	PUNCT
ejpam-4843	262	6	for	for	ADP
ejpam-4843	262	7	all	all	DET
ejpam-4843	262	8	l	l	NOUN
ejpam-4843	262	9	∈	∈	PROPN
ejpam-4843	263	1	[	[	X
ejpam-4843	263	2	0	0	NUM
ejpam-4843	263	3	,	,	PUNCT
ejpam-4843	263	4	1	1	NUM
ejpam-4843	263	5	]	]	PUNCT
ejpam-4843	263	6	.	.	PUNCT
ejpam-4843	264	1	using	use	VERB
ejpam-4843	264	2	these	these	DET
ejpam-4843	264	3	inequalities	inequality	NOUN
ejpam-4843	264	4	in	in	ADP
ejpam-4843	264	5	the	the	DET
ejpam-4843	264	6	inequality	inequality	NOUN
ejpam-4843	264	7	obtained	obtain	VERB
ejpam-4843	264	8	during	during	ADP
ejpam-4843	264	9	theorem	theorem	ADJ
ejpam-4843	264	10	4	4	NUM
ejpam-4843	264	11	,	,	PUNCT
ejpam-4843	264	12	we	we	PRON
ejpam-4843	264	13	obtain	obtain	VERB
ejpam-4843	264	14	the	the	DET
ejpam-4843	264	15	following	follow	VERB
ejpam-4843	264	16	(	(	PUNCT
ejpam-4843	264	17	∫	∫	PROPN
ejpam-4843	264	18	1	1	NUM
ejpam-4843	264	19	0	0	NUM
ejpam-4843	264	20	l2	l2	NOUN
ejpam-4843	264	21	∥∥∥∥f	∥∥∥∥f	NOUN
ejpam-4843	264	22	′′((1−	′′((1−	NOUN
ejpam-4843	264	23	l	l	NOUN
ejpam-4843	264	24	2	2	X
ejpam-4843	264	25	)	)	PUNCT
ejpam-4843	264	26	a⊗	a⊗	NOUN
ejpam-4843	264	27	1	1	NUM
ejpam-4843	264	28	+	+	NUM
ejpam-4843	264	29	l	l	NOUN
ejpam-4843	264	30	2	2	NUM
ejpam-4843	264	31	1⊗b	1⊗b	NUM
ejpam-4843	264	32	)	)	PUNCT
ejpam-4843	264	33	∥∥∥∥	∥∥∥∥	PROPN
ejpam-4843	264	34	dl	dl	PROPN
ejpam-4843	265	1	+	+	CCONJ
ejpam-4843	265	2	∫	∫	PROPN
ejpam-4843	265	3	1	1	NUM
ejpam-4843	265	4	0	0	NUM
ejpam-4843	265	5	(	(	PUNCT
ejpam-4843	265	6	l	l	NOUN
ejpam-4843	265	7	−	−	PROPN
ejpam-4843	265	8	1)2	1)2	NUM
ejpam-4843	265	9	∥∥∥∥f	∥∥∥∥f	NOUN
ejpam-4843	265	10	′′((1−	′′((1−	NOUN
ejpam-4843	265	11	l	l	NOUN
ejpam-4843	265	12	2	2	X
ejpam-4843	265	13	)	)	PUNCT
ejpam-4843	265	14	a⊗	a⊗	NOUN
ejpam-4843	265	15	1	1	NUM
ejpam-4843	265	16	+	+	CCONJ
ejpam-4843	265	17	(	(	PUNCT
ejpam-4843	265	18	1	1	NUM
ejpam-4843	265	19	+	+	NUM
ejpam-4843	265	20	l	l	NOUN
ejpam-4843	265	21	2	2	X
ejpam-4843	265	22	)	)	PUNCT
ejpam-4843	265	23	1⊗b	1⊗b	NUM
ejpam-4843	265	24	)	)	PUNCT
ejpam-4843	265	25	∥∥∥∥	∥∥∥∥	PROPN
ejpam-4843	265	26	dl	dl	PROPN
ejpam-4843	265	27	)	)	PUNCT
ejpam-4843	265	28	⩽	⩽	NOUN
ejpam-4843	265	29	∫	∫	PROPN
ejpam-4843	265	30	1	1	NUM
ejpam-4843	265	31	0	0	NUM
ejpam-4843	265	32	l2	l2	NOUN
ejpam-4843	265	33	(	(	PUNCT
ejpam-4843	265	34	1	1	NUM
ejpam-4843	265	35	2	2	NUM
ejpam-4843	265	36	(	(	PUNCT
ejpam-4843	265	37	∥∥|f	∥∥|f	ADJ
ejpam-4843	265	38	′′(a)|	′′(a)|	PROPN
ejpam-4843	265	39	⊗	⊗	PROPN
ejpam-4843	265	40	1	1	NUM
ejpam-4843	265	41	+	+	SYM
ejpam-4843	265	42	1⊗	1⊗	NUM
ejpam-4843	265	43	|f	|f	PRON
ejpam-4843	266	1	′′(b)|	′′(b)|	PROPN
ejpam-4843	266	2	∥∥+	∥∥+	NUM
ejpam-4843	267	1	∥∥|f	∥∥|f	ADJ
ejpam-4843	267	2	′′(a)|	′′(a)|	PROPN
ejpam-4843	267	3	⊗	⊗	PROPN
ejpam-4843	267	4	1−	1−	NUM
ejpam-4843	268	1	1⊗	1⊗	NUM
ejpam-4843	268	2	|f	|f	PROPN
ejpam-4843	268	3	′′(b)|	′′(b)|	PROPN
ejpam-4843	268	4	∥∥	∥∥	X
ejpam-4843	268	5	)	)	PUNCT
ejpam-4843	268	6	)	)	PUNCT
ejpam-4843	269	1	dl	dl	PROPN
ejpam-4843	270	1	+	+	NUM
ejpam-4843	270	2	∫	∫	PROPN
ejpam-4843	270	3	1	1	NUM
ejpam-4843	270	4	0	0	NUM
ejpam-4843	270	5	(	(	PUNCT
ejpam-4843	270	6	l	l	NOUN
ejpam-4843	270	7	−	−	PROPN
ejpam-4843	270	8	1)2	1)2	NUM
ejpam-4843	270	9	(	(	PUNCT
ejpam-4843	270	10	1	1	NUM
ejpam-4843	270	11	2	2	NUM
ejpam-4843	270	12	(	(	PUNCT
ejpam-4843	270	13	∥∥|f	∥∥|f	ADJ
ejpam-4843	270	14	′′(a)|	′′(a)|	PROPN
ejpam-4843	270	15	⊗	⊗	PROPN
ejpam-4843	270	16	1	1	NUM
ejpam-4843	271	1	+	+	SYM
ejpam-4843	271	2	1⊗	1⊗	NUM
ejpam-4843	271	3	|f	|f	PRON
ejpam-4843	272	1	′′(b)|	′′(b)|	PROPN
ejpam-4843	272	2	∥∥+	∥∥+	NUM
ejpam-4843	273	1	∥∥|f	∥∥|f	ADJ
ejpam-4843	273	2	′′(a)|	′′(a)|	PROPN
ejpam-4843	273	3	⊗	⊗	PROPN
ejpam-4843	273	4	1−	1−	NUM
ejpam-4843	274	1	1⊗	1⊗	NUM
ejpam-4843	274	2	|f	|f	PROPN
ejpam-4843	274	3	′′(b)|	′′(b)|	PROPN
ejpam-4843	274	4	∥∥	∥∥	PROPN
ejpam-4843	274	5	)	)	PUNCT
ejpam-4843	274	6	)	)	PUNCT
ejpam-4843	275	1	dl	dl	PROPN
ejpam-4843	275	2	.	.	PROPN
ejpam-4843	275	3	which	which	PRON
ejpam-4843	275	4	when	when	SCONJ
ejpam-4843	275	5	simplified	simplify	VERB
ejpam-4843	275	6	,	,	PUNCT
ejpam-4843	275	7	we	we	PRON
ejpam-4843	275	8	obtain	obtain	VERB
ejpam-4843	275	9	the	the	DET
ejpam-4843	275	10	desired	desire	VERB
ejpam-4843	275	11	inequality	inequality	NOUN
ejpam-4843	275	12	.	.	PUNCT
ejpam-4843	276	1	3	3	X
ejpam-4843	276	2	.	.	X
ejpam-4843	277	1	some	some	DET
ejpam-4843	277	2	comments	comment	NOUN
ejpam-4843	277	3	it	it	PRON
ejpam-4843	277	4	is	be	AUX
ejpam-4843	277	5	known	know	VERB
ejpam-4843	277	6	that	that	SCONJ
ejpam-4843	277	7	if	if	SCONJ
ejpam-4843	277	8	u	u	PROPN
ejpam-4843	277	9	and	and	CCONJ
ejpam-4843	277	10	v	v	NOUN
ejpam-4843	277	11	are	be	AUX
ejpam-4843	277	12	commuting	commute	VERB
ejpam-4843	277	13	,	,	PUNCT
ejpam-4843	277	14	that	that	PRON
ejpam-4843	277	15	is	be	AUX
ejpam-4843	277	16	uv	uv	NOUN
ejpam-4843	277	17	=	=	PUNCT
ejpam-4843	277	18	v	v	NOUN
ejpam-4843	277	19	u	u	NOUN
ejpam-4843	277	20	,	,	PUNCT
ejpam-4843	277	21	then	then	ADV
ejpam-4843	277	22	the	the	DET
ejpam-4843	277	23	exponential	exponential	ADJ
ejpam-4843	277	24	function	function	NOUN
ejpam-4843	277	25	satisfies	satisfy	VERB
ejpam-4843	277	26	the	the	DET
ejpam-4843	277	27	property	property	NOUN
ejpam-4843	277	28	exp(u	exp(u	NOUN
ejpam-4843	277	29	)	)	PUNCT
ejpam-4843	277	30	exp(v	exp(v	NOUN
ejpam-4843	277	31	)	)	PUNCT
ejpam-4843	278	1	=	=	SYM
ejpam-4843	278	2	exp(v	exp(v	X
ejpam-4843	278	3	)	)	PUNCT
ejpam-4843	278	4	exp(u	exp(u	PROPN
ejpam-4843	278	5	)	)	PUNCT
ejpam-4843	278	6	=	=	SYM
ejpam-4843	279	1	exp(u	exp(u	PROPN
ejpam-4843	280	1	+	+	CCONJ
ejpam-4843	280	2	v	v	NOUN
ejpam-4843	280	3	)	)	PUNCT
ejpam-4843	280	4	.	.	PUNCT
ejpam-4843	281	1	v.	v.	ADP
ejpam-4843	281	2	stojiljković	stojiljković	NOUN
ejpam-4843	281	3	/	/	SYM
ejpam-4843	281	4	eur	eur	PROPN
ejpam-4843	281	5	.	.	PUNCT
ejpam-4843	282	1	j.	j.	PROPN
ejpam-4843	282	2	pure	pure	PROPN
ejpam-4843	282	3	appl	appl	PROPN
ejpam-4843	282	4	.	.	PROPN
ejpam-4843	282	5	math	math	PROPN
ejpam-4843	282	6	,	,	PUNCT
ejpam-4843	282	7	16	16	NUM
ejpam-4843	282	8	(	(	PUNCT
ejpam-4843	282	9	3	3	NUM
ejpam-4843	282	10	)	)	PUNCT
ejpam-4843	282	11	(	(	PUNCT
ejpam-4843	282	12	2023	2023	NUM
ejpam-4843	282	13	)	)	PUNCT
ejpam-4843	282	14	,	,	PUNCT
ejpam-4843	282	15	1421	1421	NUM
ejpam-4843	282	16	-	-	SYM
ejpam-4843	282	17	1433	1433	NUM
ejpam-4843	282	18	1430	1430	NUM
ejpam-4843	282	19	also	also	ADV
ejpam-4843	282	20	,	,	PUNCT
ejpam-4843	282	21	if	if	SCONJ
ejpam-4843	282	22	u	u	NOUN
ejpam-4843	282	23	is	be	AUX
ejpam-4843	282	24	invertible	invertible	ADJ
ejpam-4843	282	25	and	and	CCONJ
ejpam-4843	282	26	a	a	DET
ejpam-4843	282	27	,	,	PUNCT
ejpam-4843	282	28	b	b	X
ejpam-4843	282	29	∈	∈	PROPN
ejpam-4843	282	30	r	r	NOUN
ejpam-4843	282	31	and	and	CCONJ
ejpam-4843	282	32	a	a	DET
ejpam-4843	282	33	<	<	X
ejpam-4843	282	34	b	b	NOUN
ejpam-4843	282	35	then∫	then∫	NOUN
ejpam-4843	282	36	b	b	PROPN
ejpam-4843	282	37	a	a	DET
ejpam-4843	282	38	exp(tu)dt	exp(tu)dt	NOUN
ejpam-4843	282	39	=	=	PUNCT
ejpam-4843	282	40	u−1[exp(bu)−	u−1[exp(bu)−	ADJ
ejpam-4843	282	41	exp(au	exp(au	NOUN
ejpam-4843	282	42	)	)	PUNCT
ejpam-4843	282	43	]	]	PUNCT
ejpam-4843	282	44	.	.	PUNCT
ejpam-4843	283	1	moreover	moreover	ADV
ejpam-4843	283	2	,	,	PUNCT
ejpam-4843	283	3	if	if	SCONJ
ejpam-4843	283	4	u	u	NOUN
ejpam-4843	283	5	and	and	CCONJ
ejpam-4843	283	6	v	v	NOUN
ejpam-4843	283	7	are	be	AUX
ejpam-4843	283	8	commuting	commute	VERB
ejpam-4843	283	9	and	and	CCONJ
ejpam-4843	283	10	v	v	ADP
ejpam-4843	283	11	−	−	PROPN
ejpam-4843	283	12	u	u	NOUN
ejpam-4843	283	13	is	be	AUX
ejpam-4843	283	14	invertible	invertible	ADJ
ejpam-4843	283	15	,	,	PUNCT
ejpam-4843	283	16	then∫	then∫	NOUN
ejpam-4843	283	17	1	1	NUM
ejpam-4843	283	18	0	0	NUM
ejpam-4843	283	19	exp((1−	exp((1−	ADJ
ejpam-4843	283	20	k)u	k)u	NOUN
ejpam-4843	284	1	+	+	CCONJ
ejpam-4843	284	2	kv	kv	PROPN
ejpam-4843	284	3	)	)	PUNCT
ejpam-4843	284	4	dk	dk	PROPN
ejpam-4843	284	5	=	=	PUNCT
ejpam-4843	284	6	∫	∫	PROPN
ejpam-4843	284	7	1	1	NUM
ejpam-4843	284	8	0	0	NUM
ejpam-4843	284	9	exp(k(v	exp(k(v	PROPN
ejpam-4843	284	10	−	−	PROPN
ejpam-4843	284	11	u	u	NOUN
ejpam-4843	284	12	)	)	PUNCT
ejpam-4843	284	13	)	)	PUNCT
ejpam-4843	284	14	exp(u)dk	exp(u)dk	X
ejpam-4843	285	1	=	=	PUNCT
ejpam-4843	285	2	(	(	PUNCT
ejpam-4843	285	3	exp(k(v	exp(k(v	PROPN
ejpam-4843	285	4	−	−	PROPN
ejpam-4843	285	5	u))dk	u))dk	PROPN
ejpam-4843	285	6	)	)	PUNCT
ejpam-4843	285	7	exp(u	exp(u	PROPN
ejpam-4843	285	8	)	)	PUNCT
ejpam-4843	285	9	=	=	SYM
ejpam-4843	286	1	(	(	PUNCT
ejpam-4843	286	2	v	v	NOUN
ejpam-4843	286	3	−	−	PROPN
ejpam-4843	286	4	u)−1[exp(v	u)−1[exp(v	PROPN
ejpam-4843	286	5	−	−	PROPN
ejpam-4843	286	6	u)−	u)−	PROPN
ejpam-4843	286	7	i	i	PROPN
ejpam-4843	286	8	]	]	X
ejpam-4843	286	9	exp(u	exp(u	PROPN
ejpam-4843	286	10	)	)	PUNCT
ejpam-4843	286	11	=	=	SYM
ejpam-4843	287	1	(	(	PUNCT
ejpam-4843	287	2	v	v	NOUN
ejpam-4843	287	3	−	−	PROPN
ejpam-4843	287	4	u)−1[exp(v	u)−1[exp(v	PROPN
ejpam-4843	287	5	)	)	PUNCT
ejpam-4843	287	6	−	−	PROPN
ejpam-4843	288	1	exp(u	exp(u	PROPN
ejpam-4843	288	2	)	)	PUNCT
ejpam-4843	288	3	]	]	PUNCT
ejpam-4843	288	4	.	.	PUNCT
ejpam-4843	289	1	since	since	SCONJ
ejpam-4843	289	2	the	the	DET
ejpam-4843	289	3	operators	operator	NOUN
ejpam-4843	289	4	u	u	NOUN
ejpam-4843	289	5	=	=	PUNCT
ejpam-4843	289	6	a	a	DET
ejpam-4843	289	7	⊗	⊗	PROPN
ejpam-4843	289	8	1	1	NUM
ejpam-4843	289	9	and	and	CCONJ
ejpam-4843	289	10	v	v	NOUN
ejpam-4843	289	11	=	=	SYM
ejpam-4843	289	12	1	1	NUM
ejpam-4843	289	13	⊗	⊗	PROPN
ejpam-4843	289	14	b	b	PROPN
ejpam-4843	289	15	are	be	AUX
ejpam-4843	289	16	commutative	commutative	ADJ
ejpam-4843	289	17	and	and	CCONJ
ejpam-4843	290	1	if	if	SCONJ
ejpam-4843	290	2	1	1	NUM
ejpam-4843	290	3	⊗	⊗	PROPN
ejpam-4843	290	4	b	b	PROPN
ejpam-4843	290	5	−	−	PROPN
ejpam-4843	291	1	a	a	DET
ejpam-4843	291	2	⊗	⊗	PROPN
ejpam-4843	291	3	1	1	NUM
ejpam-4843	291	4	is	be	AUX
ejpam-4843	291	5	invertible	invertible	ADJ
ejpam-4843	291	6	,	,	PUNCT
ejpam-4843	291	7	then	then	ADV
ejpam-4843	291	8	∫	∫	PROPN
ejpam-4843	291	9	1	1	NUM
ejpam-4843	291	10	0	0	NUM
ejpam-4843	291	11	exp((1−	exp((1−	VERB
ejpam-4843	291	12	k)a⊗	k)a⊗	NOUN
ejpam-4843	291	13	1	1	NUM
ejpam-4843	292	1	+	+	CCONJ
ejpam-4843	292	2	k1⊗b)dk	k1⊗b)dk	NOUN
ejpam-4843	292	3	=	=	SYM
ejpam-4843	292	4	(	(	PUNCT
ejpam-4843	292	5	1⊗b	1⊗b	NUM
ejpam-4843	292	6	−a⊗	−a⊗	NOUN
ejpam-4843	292	7	1)−1[exp(1⊗b)−	1)−1[exp(1⊗b)−	NUM
ejpam-4843	292	8	exp(a⊗	exp(a⊗	PROPN
ejpam-4843	292	9	1	1	NUM
ejpam-4843	292	10	)	)	PUNCT
ejpam-4843	292	11	]	]	PUNCT
ejpam-4843	292	12	.	.	PUNCT
ejpam-4843	293	1	corollary	corollary	ADJ
ejpam-4843	293	2	1	1	NUM
ejpam-4843	293	3	.	.	PUNCT
ejpam-4843	294	1	if	if	SCONJ
ejpam-4843	294	2	a	a	DET
ejpam-4843	294	3	,	,	PUNCT
ejpam-4843	294	4	b	b	NOUN
ejpam-4843	294	5	are	be	AUX
ejpam-4843	294	6	selfadjoint	selfadjoint	VERB
ejpam-4843	294	7	operators	operator	NOUN
ejpam-4843	294	8	with	with	ADP
ejpam-4843	294	9	sp(a	sp(a	NOUN
ejpam-4843	294	10	)	)	PUNCT
ejpam-4843	294	11	,	,	PUNCT
ejpam-4843	294	12	sp(b	sp(b	PROPN
ejpam-4843	294	13	)	)	PUNCT
ejpam-4843	295	1	⊂	⊂	PROPN
ejpam-4843	296	1	[	[	X
ejpam-4843	296	2	m	m	X
ejpam-4843	296	3	,	,	PUNCT
ejpam-4843	296	4	m	m	VERB
ejpam-4843	296	5	]	]	PUNCT
ejpam-4843	296	6	and	and	CCONJ
ejpam-4843	296	7	1⊗b	1⊗b	NUM
ejpam-4843	296	8	−	−	NOUN
ejpam-4843	296	9	a⊗	a⊗	NOUN
ejpam-4843	296	10	1	1	NUM
ejpam-4843	296	11	is	be	AUX
ejpam-4843	296	12	invertible	invertible	ADJ
ejpam-4843	296	13	,	,	PUNCT
ejpam-4843	296	14	then	then	ADV
ejpam-4843	296	15	by	by	ADP
ejpam-4843	296	16	theorem	theorem	NOUN
ejpam-4843	296	17	3	3	NUM
ejpam-4843	296	18	,	,	PUNCT
ejpam-4843	296	19	we	we	PRON
ejpam-4843	296	20	get∥∥∥∥(1⊗b	get∥∥∥∥(1⊗b	VERB
ejpam-4843	296	21	−a⊗	−a⊗	PROPN
ejpam-4843	296	22	1)−1[exp(1⊗b)−	1)−1[exp(1⊗b)−	NUM
ejpam-4843	297	1	exp(a⊗	exp(a⊗	PROPN
ejpam-4843	297	2	1)]−	1)]−	NUM
ejpam-4843	297	3	exp	exp	NOUN
ejpam-4843	297	4	(	(	PUNCT
ejpam-4843	297	5	a⊗	a⊗	NOUN
ejpam-4843	297	6	1	1	NUM
ejpam-4843	297	7	+	+	CCONJ
ejpam-4843	297	8	1⊗b	1⊗b	NUM
ejpam-4843	297	9	2	2	NUM
ejpam-4843	297	10	)	)	PUNCT
ejpam-4843	297	11	∥∥∥∥	∥∥∥∥	NUM
ejpam-4843	297	12	⩽	⩽	ADJ
ejpam-4843	297	13	∥1⊗b	∥1⊗b	PUNCT
ejpam-4843	298	1	−a⊗	−a⊗	PROPN
ejpam-4843	298	2	1∥2	1∥2	NUM
ejpam-4843	298	3	exp(m	exp(m	NOUN
ejpam-4843	298	4	)	)	PUNCT
ejpam-4843	298	5	24	24	NUM
ejpam-4843	298	6	.	.	PUNCT
ejpam-4843	299	1	corollary	corollary	ADJ
ejpam-4843	299	2	2	2	NUM
ejpam-4843	299	3	.	.	PUNCT
ejpam-4843	299	4	since	since	SCONJ
ejpam-4843	299	5	for	for	ADP
ejpam-4843	299	6	f(t	f(t	NOUN
ejpam-4843	299	7	)	)	PUNCT
ejpam-4843	299	8	=	=	SYM
ejpam-4843	299	9	exp(t	exp(t	PROPN
ejpam-4843	299	10	)	)	PUNCT
ejpam-4843	299	11	,	,	PUNCT
ejpam-4843	299	12	t	t	PROPN
ejpam-4843	299	13	∈	∈	PROPN
ejpam-4843	299	14	r	r	PROPN
ejpam-4843	299	15	,	,	PUNCT
ejpam-4843	299	16	|f	|f	PROPN
ejpam-4843	299	17	′′|	′′|	PROPN
ejpam-4843	299	18	is	be	AUX
ejpam-4843	299	19	convex	convex	NOUN
ejpam-4843	299	20	,	,	PUNCT
ejpam-4843	299	21	then	then	ADV
ejpam-4843	299	22	by	by	ADP
ejpam-4843	299	23	theorem	theorem	ADJ
ejpam-4843	299	24	4∥∥∥∥(1⊗b	4∥∥∥∥(1⊗b	PROPN
ejpam-4843	299	25	−a⊗	−a⊗	NOUN
ejpam-4843	299	26	1)−1[exp(1⊗b)−	1)−1[exp(1⊗b)−	NUM
ejpam-4843	299	27	exp(a⊗	exp(a⊗	PROPN
ejpam-4843	299	28	1)]−	1)]−	NUM
ejpam-4843	299	29	exp	exp	NOUN
ejpam-4843	299	30	(	(	PUNCT
ejpam-4843	299	31	a⊗	a⊗	NOUN
ejpam-4843	299	32	1	1	NUM
ejpam-4843	299	33	+	+	CCONJ
ejpam-4843	299	34	1⊗b	1⊗b	NUM
ejpam-4843	299	35	2	2	NUM
ejpam-4843	299	36	)	)	PUNCT
ejpam-4843	299	37	∥∥∥∥	∥∥∥∥	NUM
ejpam-4843	299	38	⩽	⩽	ADJ
ejpam-4843	299	39	∥1⊗b	∥1⊗b	PUNCT
ejpam-4843	300	1	−a⊗	−a⊗	PROPN
ejpam-4843	300	2	1∥2	1∥2	NUM
ejpam-4843	300	3	48	48	NUM
ejpam-4843	300	4	(	(	PUNCT
ejpam-4843	300	5	∥exp(a)∥+	∥exp(a)∥+	X
ejpam-4843	300	6	∥exp(b)∥	∥exp(b)∥	NUM
ejpam-4843	300	7	)	)	PUNCT
ejpam-4843	300	8	4	4	NUM
ejpam-4843	300	9	.	.	X
ejpam-4843	301	1	conclusion	conclusion	NOUN
ejpam-4843	301	2	tensors	tensor	NOUN
ejpam-4843	301	3	have	have	AUX
ejpam-4843	301	4	become	become	VERB
ejpam-4843	301	5	important	important	ADJ
ejpam-4843	301	6	in	in	ADP
ejpam-4843	301	7	various	various	ADJ
ejpam-4843	301	8	fields	field	NOUN
ejpam-4843	301	9	,	,	PUNCT
ejpam-4843	301	10	for	for	ADP
ejpam-4843	301	11	example	example	NOUN
ejpam-4843	301	12	in	in	ADP
ejpam-4843	301	13	physics	physics	NOUN
ejpam-4843	301	14	because	because	SCONJ
ejpam-4843	301	15	they	they	PRON
ejpam-4843	301	16	provide	provide	VERB
ejpam-4843	301	17	a	a	DET
ejpam-4843	301	18	concise	concise	ADJ
ejpam-4843	301	19	mathematical	mathematical	ADJ
ejpam-4843	301	20	framework	framework	NOUN
ejpam-4843	301	21	for	for	ADP
ejpam-4843	301	22	formulating	formulate	VERB
ejpam-4843	301	23	and	and	CCONJ
ejpam-4843	301	24	solving	solve	VERB
ejpam-4843	301	25	physical	physical	ADJ
ejpam-4843	301	26	problems	problem	NOUN
ejpam-4843	301	27	in	in	ADP
ejpam-4843	301	28	fields	field	NOUN
ejpam-4843	301	29	such	such	ADJ
ejpam-4843	301	30	as	as	ADP
ejpam-4843	301	31	mechanics	mechanic	NOUN
ejpam-4843	301	32	,	,	PUNCT
ejpam-4843	301	33	electromagnetism	electromagnetism	NOUN
ejpam-4843	301	34	,	,	PUNCT
ejpam-4843	301	35	quantum	quantum	NOUN
ejpam-4843	301	36	mechanics	mechanic	NOUN
ejpam-4843	301	37	,	,	PUNCT
ejpam-4843	301	38	and	and	CCONJ
ejpam-4843	301	39	many	many	ADJ
ejpam-4843	301	40	others	other	NOUN
ejpam-4843	301	41	.	.	PUNCT
ejpam-4843	302	1	as	as	SCONJ
ejpam-4843	302	2	such	such	ADJ
ejpam-4843	302	3	inequalities	inequality	NOUN
ejpam-4843	302	4	are	be	AUX
ejpam-4843	302	5	crucial	crucial	ADJ
ejpam-4843	302	6	in	in	ADP
ejpam-4843	302	7	numerical	numerical	ADJ
ejpam-4843	302	8	aspects	aspect	NOUN
ejpam-4843	302	9	.	.	PUNCT
ejpam-4843	303	1	reflected	reflect	VERB
ejpam-4843	303	2	in	in	ADP
ejpam-4843	303	3	this	this	DET
ejpam-4843	303	4	work	work	NOUN
ejpam-4843	303	5	is	be	AUX
ejpam-4843	303	6	the	the	DET
ejpam-4843	303	7	tensorial	tensorial	ADJ
ejpam-4843	303	8	ozdemir	ozdemir	NOUN
ejpam-4843	303	9	’s	’s	PART
ejpam-4843	303	10	lemma	lemma	PROPN
ejpam-4843	303	11	,	,	PUNCT
ejpam-4843	303	12	which	which	PRON
ejpam-4843	303	13	as	as	ADP
ejpam-4843	303	14	a	a	DET
ejpam-4843	303	15	consequence	consequence	NOUN
ejpam-4843	303	16	enabled	enable	VERB
ejpam-4843	303	17	us	we	PRON
ejpam-4843	303	18	to	to	PART
ejpam-4843	303	19	obtain	obtain	VERB
ejpam-4843	303	20	ostrowski	ostrowski	ADJ
ejpam-4843	303	21	type	type	NOUN
ejpam-4843	303	22	inequalities	inequality	NOUN
ejpam-4843	303	23	in	in	ADP
ejpam-4843	303	24	hilbert	hilbert	NOUN
ejpam-4843	303	25	space	space	NOUN
ejpam-4843	303	26	.	.	PUNCT
ejpam-4843	304	1	new	new	ADJ
ejpam-4843	304	2	ostrowski	ostrowski	ADJ
ejpam-4843	304	3	type	type	NOUN
ejpam-4843	304	4	inequalities	inequality	NOUN
ejpam-4843	304	5	are	be	AUX
ejpam-4843	304	6	given	give	VERB
ejpam-4843	304	7	,	,	PUNCT
ejpam-4843	304	8	examples	example	NOUN
ejpam-4843	304	9	of	of	ADP
ejpam-4843	304	10	specific	specific	ADJ
ejpam-4843	304	11	convex	convex	NOUN
ejpam-4843	304	12	functions	function	NOUN
ejpam-4843	304	13	and	and	CCONJ
ejpam-4843	304	14	their	their	PRON
ejpam-4843	304	15	inequalities	inequality	NOUN
ejpam-4843	304	16	using	use	VERB
ejpam-4843	304	17	our	our	PRON
ejpam-4843	304	18	results	result	NOUN
ejpam-4843	304	19	are	be	AUX
ejpam-4843	304	20	given	give	VERB
ejpam-4843	304	21	in	in	ADP
ejpam-4843	304	22	the	the	DET
ejpam-4843	304	23	section	section	NOUN
ejpam-4843	304	24	some	some	DET
ejpam-4843	304	25	examples	example	NOUN
ejpam-4843	304	26	.	.	PUNCT
ejpam-4843	305	1	plans	plan	NOUN
ejpam-4843	305	2	for	for	ADP
ejpam-4843	305	3	future	future	ADJ
ejpam-4843	305	4	research	research	NOUN
ejpam-4843	305	5	can	can	AUX
ejpam-4843	305	6	be	be	AUX
ejpam-4843	305	7	reflected	reflect	VERB
ejpam-4843	305	8	in	in	ADP
ejpam-4843	305	9	the	the	DET
ejpam-4843	305	10	fact	fact	NOUN
ejpam-4843	305	11	that	that	SCONJ
ejpam-4843	305	12	the	the	DET
ejpam-4843	305	13	obtained	obtain	VERB
ejpam-4843	305	14	inequalities	inequality	NOUN
ejpam-4843	305	15	in	in	ADP
ejpam-4843	305	16	this	this	DET
ejpam-4843	305	17	work	work	NOUN
ejpam-4843	305	18	can	can	AUX
ejpam-4843	305	19	be	be	AUX
ejpam-4843	305	20	sharpened	sharpen	VERB
ejpam-4843	305	21	or	or	CCONJ
ejpam-4843	305	22	generalized	generalize	VERB
ejpam-4843	305	23	by	by	ADP
ejpam-4843	305	24	using	use	VERB
ejpam-4843	305	25	other	other	ADJ
ejpam-4843	305	26	methods	method	NOUN
ejpam-4843	305	27	.	.	PUNCT
ejpam-4843	306	1	an	an	DET
ejpam-4843	306	2	interesting	interesting	ADJ
ejpam-4843	306	3	perspective	perspective	NOUN
ejpam-4843	306	4	can	can	AUX
ejpam-4843	306	5	be	be	AUX
ejpam-4843	306	6	seen	see	VERB
ejpam-4843	306	7	in	in	ADP
ejpam-4843	306	8	incorporating	incorporate	VERB
ejpam-4843	306	9	other	other	ADJ
ejpam-4843	306	10	techniques	technique	NOUN
ejpam-4843	306	11	for	for	ADP
ejpam-4843	306	12	hilbert	hilbert	NOUN
ejpam-4843	306	13	space	space	NOUN
ejpam-4843	306	14	inequalities	inequality	NOUN
ejpam-4843	306	15	with	with	ADP
ejpam-4843	306	16	the	the	DET
ejpam-4843	306	17	techniques	technique	NOUN
ejpam-4843	306	18	shown	show	VERB
ejpam-4843	306	19	in	in	ADP
ejpam-4843	306	20	this	this	DET
ejpam-4843	306	21	paper	paper	NOUN
ejpam-4843	306	22	.	.	PUNCT
ejpam-4843	307	1	one	one	NUM
ejpam-4843	307	2	direction	direction	NOUN
ejpam-4843	307	3	is	be	AUX
ejpam-4843	307	4	the	the	DET
ejpam-4843	307	5	technique	technique	NOUN
ejpam-4843	307	6	of	of	ADP
ejpam-4843	307	7	the	the	DET
ejpam-4843	307	8	mond	mond	NOUN
ejpam-4843	307	9	-	-	PUNCT
ejpam-4843	307	10	pecaric	pecaric	ADJ
ejpam-4843	307	11	inequality	inequality	NOUN
ejpam-4843	307	12	,	,	PUNCT
ejpam-4843	307	13	on	on	ADP
ejpam-4843	307	14	which	which	PRON
ejpam-4843	307	15	we	we	PRON
ejpam-4843	307	16	will	will	AUX
ejpam-4843	307	17	work	work	VERB
ejpam-4843	307	18	on	on	ADP
ejpam-4843	307	19	.	.	PUNCT
ejpam-4843	308	1	references	reference	NOUN
ejpam-4843	308	2	1431	1431	NUM
ejpam-4843	308	3	references	reference	NOUN
ejpam-4843	308	4	[	[	X
ejpam-4843	308	5	1	1	NUM
ejpam-4843	308	6	]	]	X
ejpam-4843	308	7	afzal	afzal	PROPN
ejpam-4843	308	8	,	,	PUNCT
ejpam-4843	308	9	w.	w.	PROPN
ejpam-4843	308	10	;	;	PUNCT
ejpam-4843	308	11	abbas	abbas	PROPN
ejpam-4843	308	12	,	,	PUNCT
ejpam-4843	308	13	m.	m.	NOUN
ejpam-4843	308	14	;	;	PUNCT
ejpam-4843	308	15	maćıas	maćıas	NUM
ejpam-4843	308	16	-	-	PUNCT
ejpam-4843	308	17	dı́az	dı́az	NOUN
ejpam-4843	308	18	,	,	PUNCT
ejpam-4843	308	19	j.e	j.e	PROPN
ejpam-4843	308	20	.	.	PROPN
ejpam-4843	308	21	;	;	PUNCT
ejpam-4843	308	22	treanţă	treanţă	PROPN
ejpam-4843	308	23	,	,	PUNCT
ejpam-4843	308	24	s.	s.	PROPN
ejpam-4843	308	25	some	some	DET
ejpam-4843	308	26	h	h	PROPN
ejpam-4843	308	27	-	-	PUNCT
ejpam-4843	308	28	godunova	godunova	ADJ
ejpam-4843	308	29	–	–	PUNCT
ejpam-4843	308	30	levin	levin	PROPN
ejpam-4843	308	31	function	function	PROPN
ejpam-4843	308	32	inequalities	inequality	NOUN
ejpam-4843	308	33	using	use	VERB
ejpam-4843	308	34	center	center	NOUN
ejpam-4843	308	35	radius	radius	NOUN
ejpam-4843	308	36	(	(	PUNCT
ejpam-4843	308	37	cr	cr	NOUN
ejpam-4843	308	38	)	)	PUNCT
ejpam-4843	308	39	order	order	NOUN
ejpam-4843	308	40	relation	relation	NOUN
ejpam-4843	308	41	.	.	PUNCT
ejpam-4843	309	1	fractal	fractal	ADJ
ejpam-4843	309	2	fract	fract	PROPN
ejpam-4843	309	3	.	.	PUNCT
ejpam-4843	310	1	2022	2022	NUM
ejpam-4843	310	2	,	,	PUNCT
ejpam-4843	310	3	6	6	NUM
ejpam-4843	310	4	,	,	PUNCT
ejpam-4843	310	5	518	518	NUM
ejpam-4843	310	6	.	.	PUNCT
ejpam-4843	311	1	https://doi.org/10.3390/fractalfract6090518	https://doi.org/10.3390/fractalfract6090518	PROPN
ejpam-4843	312	1	[	[	X
ejpam-4843	312	2	2	2	NUM
ejpam-4843	312	3	]	]	PUNCT
ejpam-4843	312	4	afzal	afzal	PROPN
ejpam-4843	312	5	,	,	PUNCT
ejpam-4843	312	6	w.	w.	PROPN
ejpam-4843	312	7	;	;	PUNCT
ejpam-4843	312	8	alb	alb	PROPN
ejpam-4843	312	9	lupa¸s	lupa¸s	PROPN
ejpam-4843	312	10	,	,	PUNCT
ejpam-4843	312	11	a.	a.	NOUN
ejpam-4843	312	12	;	;	PUNCT
ejpam-4843	312	13	shabbir	shabbir	PROPN
ejpam-4843	312	14	,	,	PUNCT
ejpam-4843	312	15	k.	k.	PROPN
ejpam-4843	312	16	hermite	hermite	PROPN
ejpam-4843	312	17	–	–	PUNCT
ejpam-4843	312	18	hadamard	hadamard	PROPN
ejpam-4843	312	19	and	and	CCONJ
ejpam-4843	312	20	jensen	jensen	PROPN
ejpam-4843	312	21	-	-	PUNCT
ejpam-4843	312	22	type	type	NOUN
ejpam-4843	312	23	inequalities	inequality	NOUN
ejpam-4843	312	24	for	for	ADP
ejpam-4843	312	25	harmonical	harmonical	ADJ
ejpam-4843	312	26	(	(	PUNCT
ejpam-4843	312	27	h1	h1	PROPN
ejpam-4843	312	28	,	,	PUNCT
ejpam-4843	312	29	h2)-godunova	h2)-godunova	PROPN
ejpam-4843	312	30	–	–	PUNCT
ejpam-4843	312	31	levin	levin	PROPN
ejpam-4843	312	32	interval	interval	NOUN
ejpam-4843	312	33	-	-	PUNCT
ejpam-4843	312	34	valued	value	VERB
ejpam-4843	312	35	functions	function	NOUN
ejpam-4843	312	36	.	.	PUNCT
ejpam-4843	313	1	mathematics	mathematic	NOUN
ejpam-4843	313	2	2022	2022	NUM
ejpam-4843	313	3	,	,	PUNCT
ejpam-4843	313	4	10	10	NUM
ejpam-4843	313	5	,	,	PUNCT
ejpam-4843	313	6	2970	2970	NUM
ejpam-4843	313	7	.	.	PUNCT
ejpam-4843	314	1	https://doi.org/10.3390/math10162970	https://doi.org/10.3390/math10162970	PROPN
ejpam-4843	314	2	[	[	X
ejpam-4843	314	3	3	3	NUM
ejpam-4843	314	4	]	]	X
ejpam-4843	314	5	afzal	afzal	PROPN
ejpam-4843	314	6	,	,	PUNCT
ejpam-4843	314	7	w.	w.	PROPN
ejpam-4843	314	8	,	,	PUNCT
ejpam-4843	314	9	khurram	khurram	PROPN
ejpam-4843	314	10	shabbir	shabbir	PROPN
ejpam-4843	314	11	,	,	PUNCT
ejpam-4843	314	12	savin	savin	PROPN
ejpam-4843	314	13	treant¸˘a	treant¸˘a	PROPN
ejpam-4843	314	14	,	,	PUNCT
ejpam-4843	314	15	kamsing	kamse	VERB
ejpam-4843	314	16	nonlaopon	nonlaopon	ADV
ejpam-4843	314	17	.	.	PUNCT
ejpam-4843	315	1	jensen	jensen	PROPN
ejpam-4843	315	2	and	and	CCONJ
ejpam-4843	315	3	hermite	hermite	PROPN
ejpam-4843	315	4	-	-	PUNCT
ejpam-4843	315	5	hadamard	hadamard	ADJ
ejpam-4843	315	6	type	type	NOUN
ejpam-4843	315	7	inclusions	inclusion	NOUN
ejpam-4843	315	8	for	for	ADP
ejpam-4843	315	9	harmonical	harmonical	ADJ
ejpam-4843	315	10	h	h	NOUN
ejpam-4843	315	11	-	-	PUNCT
ejpam-4843	315	12	godunova	godunova	ADJ
ejpam-4843	315	13	-	-	PUNCT
ejpam-4843	315	14	levin	levin	PROPN
ejpam-4843	315	15	functions[j	functions[j	PROPN
ejpam-4843	315	16	]	]	PUNCT
ejpam-4843	315	17	.	.	PUNCT
ejpam-4843	316	1	aims	aim	VERB
ejpam-4843	316	2	mathematics	mathematic	NOUN
ejpam-4843	316	3	,	,	PUNCT
ejpam-4843	316	4	2023	2023	NUM
ejpam-4843	316	5	,	,	PUNCT
ejpam-4843	316	6	8(2	8(2	NUM
ejpam-4843	316	7	):	):	PUNCT
ejpam-4843	316	8	3303	3303	NUM
ejpam-4843	316	9	-	-	SYM
ejpam-4843	316	10	3321	3321	NUM
ejpam-4843	316	11	.	.	PUNCT
ejpam-4843	317	1	doi	doi	NOUN
ejpam-4843	317	2	:	:	PUNCT
ejpam-4843	317	3	10.3934	10.3934	NUM
ejpam-4843	317	4	/	/	SYM
ejpam-4843	317	5	math.2023170	math.2023170	PROPN
ejpam-4843	318	1	[	[	X
ejpam-4843	318	2	4	4	NUM
ejpam-4843	318	3	]	]	X
ejpam-4843	318	4	afzal	afzal	PROPN
ejpam-4843	318	5	,	,	PUNCT
ejpam-4843	318	6	w.	w.	PROPN
ejpam-4843	318	7	,	,	PUNCT
ejpam-4843	318	8	khurram	khurram	PROPN
ejpam-4843	318	9	shabbir	shabbir	PROPN
ejpam-4843	318	10	,	,	PUNCT
ejpam-4843	318	11	thongchai	thongchai	ADJ
ejpam-4843	318	12	botmart	botmart	NOUN
ejpam-4843	318	13	.	.	PUNCT
ejpam-4843	319	1	generalized	generalize	VERB
ejpam-4843	319	2	version	version	NOUN
ejpam-4843	319	3	of	of	ADP
ejpam-4843	319	4	jensen	jensen	PROPN
ejpam-4843	319	5	and	and	CCONJ
ejpam-4843	319	6	hermite	hermite	PROPN
ejpam-4843	319	7	-	-	PUNCT
ejpam-4843	319	8	hadamard	hadamard	ADJ
ejpam-4843	319	9	inequalities	inequality	NOUN
ejpam-4843	319	10	for	for	ADP
ejpam-4843	319	11	interval	interval	NOUN
ejpam-4843	319	12	-	-	PUNCT
ejpam-4843	319	13	valued	value	VERB
ejpam-4843	319	14	(	(	PUNCT
ejpam-4843	319	15	h1	h1	PROPN
ejpam-4843	319	16	,	,	PUNCT
ejpam-4843	319	17	h2)godunova	h2)godunova	PROPN
ejpam-4843	319	18	-	-	PUNCT
ejpam-4843	319	19	levin	levin	PROPN
ejpam-4843	319	20	functions[j	functions[j	PROPN
ejpam-4843	319	21	]	]	PUNCT
ejpam-4843	319	22	.	.	PUNCT
ejpam-4843	320	1	aims	aim	VERB
ejpam-4843	320	2	mathematics	mathematic	NOUN
ejpam-4843	320	3	,	,	PUNCT
ejpam-4843	320	4	2022	2022	NUM
ejpam-4843	320	5	,	,	PUNCT
ejpam-4843	320	6	7(10	7(10	NUM
ejpam-4843	320	7	):	):	PUNCT
ejpam-4843	320	8	19372	19372	NUM
ejpam-4843	320	9	-	-	SYM
ejpam-4843	320	10	19387	19387	NUM
ejpam-4843	320	11	.	.	PUNCT
ejpam-4843	321	1	doi	doi	NOUN
ejpam-4843	321	2	:	:	PUNCT
ejpam-4843	321	3	10.3934	10.3934	NUM
ejpam-4843	321	4	/	/	SYM
ejpam-4843	322	1	math.20221064	math.20221064	NOUN
ejpam-4843	322	2	[	[	X
ejpam-4843	322	3	5	5	NUM
ejpam-4843	322	4	]	]	PUNCT
ejpam-4843	322	5	afzal	afzal	PROPN
ejpam-4843	322	6	,	,	PUNCT
ejpam-4843	322	7	w.	w.	PROPN
ejpam-4843	322	8	,	,	PUNCT
ejpam-4843	322	9	waqas	waqas	PROPN
ejpam-4843	322	10	nazeer	nazeer	PROPN
ejpam-4843	322	11	,	,	PUNCT
ejpam-4843	322	12	thongchai	thongchai	PROPN
ejpam-4843	322	13	botmart	botmart	NOUN
ejpam-4843	322	14	,	,	PUNCT
ejpam-4843	322	15	savin	savin	PROPN
ejpam-4843	322	16	treant¸˘a	treant¸˘a	PROPN
ejpam-4843	322	17	.	.	PUNCT
ejpam-4843	323	1	some	some	DET
ejpam-4843	323	2	properties	property	NOUN
ejpam-4843	323	3	and	and	CCONJ
ejpam-4843	323	4	inequalities	inequality	NOUN
ejpam-4843	323	5	for	for	ADP
ejpam-4843	323	6	generalized	generalized	ADJ
ejpam-4843	323	7	class	class	NOUN
ejpam-4843	323	8	of	of	ADP
ejpam-4843	323	9	harmonical	harmonical	ADJ
ejpam-4843	323	10	godunova	godunova	PROPN
ejpam-4843	323	11	-	-	PUNCT
ejpam-4843	323	12	levin	levin	PROPN
ejpam-4843	323	13	function	function	PROPN
ejpam-4843	323	14	via	via	ADP
ejpam-4843	323	15	center	center	ADJ
ejpam-4843	323	16	radius	radius	NOUN
ejpam-4843	323	17	order	order	NOUN
ejpam-4843	323	18	relation[j	relation[j	NOUN
ejpam-4843	323	19	]	]	PUNCT
ejpam-4843	323	20	.	.	PUNCT
ejpam-4843	323	21	aims	aim	VERB
ejpam-4843	323	22	mathematics	mathematic	NOUN
ejpam-4843	323	23	,	,	PUNCT
ejpam-4843	323	24	2023	2023	NUM
ejpam-4843	323	25	,	,	PUNCT
ejpam-4843	323	26	8(1	8(1	NOUN
ejpam-4843	323	27	):	):	PUNCT
ejpam-4843	323	28	1696	1696	NUM
ejpam-4843	323	29	-	-	SYM
ejpam-4843	323	30	1712	1712	NUM
ejpam-4843	323	31	.	.	PUNCT
ejpam-4843	324	1	doi	doi	NOUN
ejpam-4843	324	2	:	:	PUNCT
ejpam-4843	324	3	10.3934	10.3934	NUM
ejpam-4843	324	4	/	/	SYM
ejpam-4843	325	1	math.2023087	math.2023087	NOUN
ejpam-4843	326	1	[	[	X
ejpam-4843	326	2	6	6	NUM
ejpam-4843	326	3	]	]	PUNCT
ejpam-4843	326	4	h.	h.	PROPN
ejpam-4843	326	5	araki	araki	PROPN
ejpam-4843	326	6	and	and	CCONJ
ejpam-4843	326	7	f.	f.	PROPN
ejpam-4843	326	8	hansen	hansen	PROPN
ejpam-4843	326	9	,	,	PUNCT
ejpam-4843	326	10	jenseńıs	jenseńıs	PROPN
ejpam-4843	326	11	operator	operator	NOUN
ejpam-4843	326	12	inequality	inequality	NOUN
ejpam-4843	326	13	for	for	ADP
ejpam-4843	326	14	functions	function	NOUN
ejpam-4843	326	15	of	of	ADP
ejpam-4843	326	16	several	several	ADJ
ejpam-4843	326	17	variables	variable	NOUN
ejpam-4843	326	18	,	,	PUNCT
ejpam-4843	326	19	proc	proc	NOUN
ejpam-4843	326	20	.	.	PUNCT
ejpam-4843	327	1	amer	amer	PROPN
ejpam-4843	327	2	.	.	PUNCT
ejpam-4843	327	3	math	math	PROPN
ejpam-4843	327	4	.	.	PUNCT
ejpam-4843	328	1	soc	soc	PROPN
ejpam-4843	328	2	.	.	PUNCT
ejpam-4843	329	1	128	128	NUM
ejpam-4843	329	2	(	(	PUNCT
ejpam-4843	329	3	2000	2000	NUM
ejpam-4843	329	4	)	)	PUNCT
ejpam-4843	329	5	,	,	PUNCT
ejpam-4843	329	6	no	no	INTJ
ejpam-4843	329	7	.	.	NOUN
ejpam-4843	329	8	7	7	NUM
ejpam-4843	329	9	,	,	PUNCT
ejpam-4843	329	10	20	20	NUM
ejpam-4843	329	11	[	[	SYM
ejpam-4843	329	12	7	7	NUM
ejpam-4843	329	13	]	]	X
ejpam-4843	329	14	butt	butt	NOUN
ejpam-4843	329	15	,	,	PUNCT
ejpam-4843	329	16	s.i	s.i	PROPN
ejpam-4843	329	17	.	.	PROPN
ejpam-4843	329	18	;	;	PUNCT
ejpam-4843	329	19	tariq	tariq	PROPN
ejpam-4843	329	20	,	,	PUNCT
ejpam-4843	329	21	m.	m.	NOUN
ejpam-4843	329	22	;	;	PUNCT
ejpam-4843	329	23	aslam	aslam	PROPN
ejpam-4843	329	24	,	,	PUNCT
ejpam-4843	329	25	a.	a.	PROPN
ejpam-4843	329	26	;	;	PUNCT
ejpam-4843	329	27	ahmad	ahmad	PROPN
ejpam-4843	329	28	,	,	PUNCT
ejpam-4843	329	29	h.	h.	PROPN
ejpam-4843	329	30	;	;	PUNCT
ejpam-4843	329	31	nofal	nofal	PROPN
ejpam-4843	329	32	,	,	PUNCT
ejpam-4843	329	33	t.a	t.a	PROPN
ejpam-4843	329	34	.	.	PROPN
ejpam-4843	329	35	hermite	hermite	PROPN
ejpam-4843	329	36	–	–	PUNCT
ejpam-4843	329	37	hadamard	hadamard	ADJ
ejpam-4843	329	38	type	type	NOUN
ejpam-4843	329	39	inequalities	inequality	NOUN
ejpam-4843	329	40	via	via	ADP
ejpam-4843	329	41	generalized	generalized	ADJ
ejpam-4843	329	42	harmonic	harmonic	ADJ
ejpam-4843	329	43	exponential	exponential	ADJ
ejpam-4843	329	44	convexity	convexity	NOUN
ejpam-4843	329	45	and	and	CCONJ
ejpam-4843	329	46	applications	application	NOUN
ejpam-4843	329	47	.	.	PUNCT
ejpam-4843	330	1	j.	j.	PROPN
ejpam-4843	330	2	funct	funct	PROPN
ejpam-4843	330	3	.	.	PUNCT
ejpam-4843	331	1	spaces	space	NOUN
ejpam-4843	331	2	2021	2021	NUM
ejpam-4843	331	3	,	,	PUNCT
ejpam-4843	331	4	2021	2021	NUM
ejpam-4843	331	5	,	,	PUNCT
ejpam-4843	331	6	5533491	5533491	NUM
ejpam-4843	331	7	.	.	PUNCT
ejpam-4843	332	1	[	[	X
ejpam-4843	332	2	8	8	NUM
ejpam-4843	332	3	]	]	X
ejpam-4843	332	4	chandola	chandola	PROPN
ejpam-4843	332	5	a.	a.	PROPN
ejpam-4843	332	6	,	,	PUNCT
ejpam-4843	332	7	agarwal	agarwal	PROPN
ejpam-4843	332	8	r.	r.	PROPN
ejpam-4843	332	9	,	,	PUNCT
ejpam-4843	332	10	pandey	pandey	PROPN
ejpam-4843	332	11	m.	m.	PROPN
ejpam-4843	332	12	r.	r.	PROPN
ejpam-4843	332	13	,	,	PUNCT
ejpam-4843	332	14	some	some	DET
ejpam-4843	332	15	new	new	ADJ
ejpam-4843	332	16	hermite	hermite	ADJ
ejpam-4843	332	17	–	–	PUNCT
ejpam-4843	332	18	hadamard	hadamard	ADJ
ejpam-4843	332	19	,	,	PUNCT
ejpam-4843	332	20	hermite	hermite	ADJ
ejpam-4843	332	21	–	–	PUNCT
ejpam-4843	332	22	hadamard	hadamard	NOUN
ejpam-4843	332	23	fejer	fejer	NOUN
ejpam-4843	332	24	and	and	CCONJ
ejpam-4843	332	25	weighted	weight	VERB
ejpam-4843	332	26	hardy	hardy	ADJ
ejpam-4843	332	27	type	type	NOUN
ejpam-4843	332	28	inequalities	inequality	NOUN
ejpam-4843	332	29	involving	involve	VERB
ejpam-4843	332	30	(	(	PUNCT
ejpam-4843	332	31	k	k	X
ejpam-4843	332	32	-	-	ADJ
ejpam-4843	332	33	p	p	ADJ
ejpam-4843	332	34	)	)	PUNCT
ejpam-4843	332	35	riemann	riemann	PROPN
ejpam-4843	332	36	–	–	PUNCT
ejpam-4843	332	37	liouville	liouville	VERB
ejpam-4843	332	38	fractional	fractional	ADJ
ejpam-4843	332	39	integral	integral	ADJ
ejpam-4843	332	40	operator	operator	NOUN
ejpam-4843	332	41	,	,	PUNCT
ejpam-4843	332	42	appl	appl	PROPN
ejpam-4843	332	43	.	.	PROPN
ejpam-4843	332	44	math	math	PROPN
ejpam-4843	332	45	.	.	PUNCT
ejpam-4843	333	1	inf	inf	PROPN
ejpam-4843	333	2	.	.	PUNCT
ejpam-4843	334	1	sci	sci	PROPN
ejpam-4843	334	2	.	.	PROPN
ejpam-4843	335	1	16	16	NUM
ejpam-4843	335	2	,	,	PUNCT
ejpam-4843	335	3	no	no	INTJ
ejpam-4843	335	4	.	.	NOUN
ejpam-4843	335	5	2	2	NUM
ejpam-4843	335	6	,	,	PUNCT
ejpam-4843	335	7	287–297	287–297	NUM
ejpam-4843	335	8	(	(	PUNCT
ejpam-4843	335	9	2022	2022	NUM
ejpam-4843	335	10	)	)	PUNCT
ejpam-4843	335	11	.	.	PUNCT
ejpam-4843	336	1	[	[	X
ejpam-4843	336	2	9	9	NUM
ejpam-4843	336	3	]	]	SYM
ejpam-4843	336	4	chen	chen	PROPN
ejpam-4843	336	5	,	,	PUNCT
ejpam-4843	336	6	h.	h.	PROPN
ejpam-4843	336	7	,	,	PUNCT
ejpam-4843	336	8	katugampola	katugampola	PROPN
ejpam-4843	336	9	,	,	PUNCT
ejpam-4843	336	10	u.n	u.n	PROPN
ejpam-4843	336	11	.	.	PROPN
ejpam-4843	336	12	hermite	hermite	PROPN
ejpam-4843	336	13	–	–	PUNCT
ejpam-4843	336	14	hadamard	hadamard	ADJ
ejpam-4843	336	15	and	and	CCONJ
ejpam-4843	336	16	hermite	hermite	ADJ
ejpam-4843	336	17	–	–	PUNCT
ejpam-4843	336	18	hadamard	hadamard	ADJ
ejpam-4843	336	19	–	–	PUNCT
ejpam-4843	336	20	fejr	fejr	ADJ
ejpam-4843	336	21	type	type	NOUN
ejpam-4843	336	22	inequalities	inequality	NOUN
ejpam-4843	336	23	for	for	ADP
ejpam-4843	336	24	generalized	generalized	ADJ
ejpam-4843	336	25	fractional	fractional	ADJ
ejpam-4843	336	26	integrals	integral	NOUN
ejpam-4843	336	27	.	.	PUNCT
ejpam-4843	337	1	j.	j.	PROPN
ejpam-4843	337	2	math	math	PROPN
ejpam-4843	337	3	.	.	PUNCT
ejpam-4843	338	1	anal	anal	PROPN
ejpam-4843	338	2	.	.	PUNCT
ejpam-4843	338	3	appl	appl	PROPN
ejpam-4843	338	4	.	.	PROPN
ejpam-4843	339	1	2017	2017	NUM
ejpam-4843	339	2	,	,	PUNCT
ejpam-4843	339	3	446	446	NUM
ejpam-4843	339	4	,	,	PUNCT
ejpam-4843	339	5	1274–1291	1274–1291	NUM
ejpam-4843	339	6	[	[	X
ejpam-4843	339	7	10	10	NUM
ejpam-4843	339	8	]	]	PUNCT
ejpam-4843	339	9	s.	s.	PROPN
ejpam-4843	339	10	s.	s.	PROPN
ejpam-4843	339	11	dragomir	dragomir	PROPN
ejpam-4843	339	12	,	,	PUNCT
ejpam-4843	339	13	an	an	DET
ejpam-4843	339	14	inequality	inequality	NOUN
ejpam-4843	339	15	improving	improve	VERB
ejpam-4843	339	16	the	the	DET
ejpam-4843	339	17	örst	örst	ADJ
ejpam-4843	339	18	hermite	hermite	ADJ
ejpam-4843	339	19	-	-	PUNCT
ejpam-4843	339	20	hadamard	hadamard	ADJ
ejpam-4843	339	21	inequality	inequality	NOUN
ejpam-4843	339	22	for	for	ADP
ejpam-4843	339	23	convex	convex	NOUN
ejpam-4843	339	24	functions	function	NOUN
ejpam-4843	339	25	defined	define	VERB
ejpam-4843	339	26	on	on	ADP
ejpam-4843	339	27	linear	linear	ADJ
ejpam-4843	339	28	spaces	space	NOUN
ejpam-4843	339	29	and	and	CCONJ
ejpam-4843	339	30	applications	application	NOUN
ejpam-4843	339	31	for	for	ADP
ejpam-4843	339	32	semi	semi	ADJ
ejpam-4843	339	33	-	-	ADJ
ejpam-4843	339	34	inner	inner	ADJ
ejpam-4843	339	35	products	product	NOUN
ejpam-4843	339	36	.	.	PUNCT
ejpam-4843	340	1	journal	journal	PROPN
ejpam-4843	340	2	of	of	ADP
ejpam-4843	340	3	inequalities	inequality	NOUN
ejpam-4843	340	4	in	in	ADP
ejpam-4843	340	5	pure	pure	ADJ
ejpam-4843	340	6	applied	applied	ADJ
ejpam-4843	340	7	mathematics	mathematic	NOUN
ejpam-4843	340	8	,	,	PUNCT
ejpam-4843	340	9	volume	volume	NOUN
ejpam-4843	340	10	:	:	PUNCT
ejpam-4843	340	11	3	3	NUM
ejpam-4843	340	12	(	(	PUNCT
ejpam-4843	340	13	2002	2002	NUM
ejpam-4843	340	14	)	)	PUNCT
ejpam-4843	340	15	,	,	PUNCT
ejpam-4843	340	16	issue	issue	NOUN
ejpam-4843	340	17	:	:	PUNCT
ejpam-4843	340	18	2	2	NUM
ejpam-4843	340	19	,	,	PUNCT
ejpam-4843	340	20	paper	paper	NOUN
ejpam-4843	340	21	no	no	NOUN
ejpam-4843	340	22	.	.	PROPN
ejpam-4843	340	23	31	31	NUM
ejpam-4843	340	24	,	,	PUNCT
ejpam-4843	340	25	8	8	NUM
ejpam-4843	341	1	p.	p.	NOUN
ejpam-4843	342	1	[	[	X
ejpam-4843	342	2	11	11	NUM
ejpam-4843	342	3	]	]	PUNCT
ejpam-4843	342	4	s.	s.	PROPN
ejpam-4843	342	5	s.	s.	PROPN
ejpam-4843	342	6	dragomir	dragomir	PROPN
ejpam-4843	342	7	,	,	PUNCT
ejpam-4843	342	8	an	an	DET
ejpam-4843	342	9	inequality	inequality	NOUN
ejpam-4843	342	10	improving	improve	VERB
ejpam-4843	342	11	the	the	DET
ejpam-4843	342	12	second	second	ADJ
ejpam-4843	342	13	hermite	hermite	ADJ
ejpam-4843	342	14	-	-	PUNCT
ejpam-4843	342	15	hadamard	hadamard	ADJ
ejpam-4843	342	16	inequality	inequality	NOUN
ejpam-4843	342	17	for	for	ADP
ejpam-4843	342	18	convex	convex	NOUN
ejpam-4843	342	19	functions	function	NOUN
ejpam-4843	342	20	defined	define	VERB
ejpam-4843	342	21	on	on	ADP
ejpam-4843	342	22	linear	linear	ADJ
ejpam-4843	342	23	spaces	space	NOUN
ejpam-4843	342	24	and	and	CCONJ
ejpam-4843	342	25	applications	application	NOUN
ejpam-4843	342	26	for	for	ADP
ejpam-4843	342	27	semi	semi	ADJ
ejpam-4843	342	28	-	-	ADJ
ejpam-4843	342	29	inner	inner	ADJ
ejpam-4843	342	30	products	product	NOUN
ejpam-4843	342	31	.	.	PUNCT
ejpam-4843	343	1	journal	journal	PROPN
ejpam-4843	343	2	of	of	ADP
ejpam-4843	343	3	inequalities	inequality	NOUN
ejpam-4843	343	4	in	in	ADP
ejpam-4843	343	5	pure	pure	ADJ
ejpam-4843	343	6	applied	applied	ADJ
ejpam-4843	343	7	mathematics	mathematic	NOUN
ejpam-4843	343	8	,	,	PUNCT
ejpam-4843	343	9	volume	volume	NOUN
ejpam-4843	343	10	:	:	PUNCT
ejpam-4843	343	11	3	3	NUM
ejpam-4843	343	12	(	(	PUNCT
ejpam-4843	343	13	2002	2002	NUM
ejpam-4843	343	14	)	)	PUNCT
ejpam-4843	343	15	,	,	PUNCT
ejpam-4843	343	16	issue	issue	NOUN
ejpam-4843	343	17	:	:	PUNCT
ejpam-4843	343	18	3	3	NUM
ejpam-4843	343	19	,	,	PUNCT
ejpam-4843	343	20	paper	paper	NOUN
ejpam-4843	343	21	no	no	NOUN
ejpam-4843	343	22	.	.	PUNCT
ejpam-4843	344	1	references	reference	NOUN
ejpam-4843	344	2	1432	1432	NUM
ejpam-4843	345	1	[	[	X
ejpam-4843	345	2	12	12	NUM
ejpam-4843	345	3	]	]	PUNCT
ejpam-4843	345	4	s.	s.	PROPN
ejpam-4843	345	5	s.	s.	PROPN
ejpam-4843	345	6	dragomir	dragomir	PROPN
ejpam-4843	345	7	,	,	PUNCT
ejpam-4843	345	8	bounds	bound	VERB
ejpam-4843	345	9	for	for	ADP
ejpam-4843	345	10	the	the	DET
ejpam-4843	345	11	normalized	normalize	VERB
ejpam-4843	345	12	jensen	jensen	PROPN
ejpam-4843	345	13	functional	functional	ADJ
ejpam-4843	345	14	,	,	PUNCT
ejpam-4843	345	15	bull	bull	NOUN
ejpam-4843	345	16	.	.	PUNCT
ejpam-4843	346	1	austral	austral	PROPN
ejpam-4843	346	2	.	.	PUNCT
ejpam-4843	347	1	math	math	NOUN
ejpam-4843	347	2	.	.	PUNCT
ejpam-4843	348	1	soc	soc	PROPN
ejpam-4843	348	2	.	.	PUNCT
ejpam-4843	349	1	74(3)(2006	74(3)(2006	NUM
ejpam-4843	349	2	)	)	PUNCT
ejpam-4843	349	3	,	,	PUNCT
ejpam-4843	349	4	417	417	PROPN
ejpam-4843	349	5	-	-	SYM
ejpam-4843	349	6	478	478	NUM
ejpam-4843	349	7	.	.	PUNCT
ejpam-4843	350	1	[	[	X
ejpam-4843	350	2	13	13	NUM
ejpam-4843	350	3	]	]	PUNCT
ejpam-4843	350	4	s.	s.	PROPN
ejpam-4843	350	5	s.	s.	PROPN
ejpam-4843	350	6	dragomir	dragomir	PROPN
ejpam-4843	350	7	,	,	PUNCT
ejpam-4843	350	8	a	a	DET
ejpam-4843	350	9	note	note	NOUN
ejpam-4843	350	10	on	on	ADP
ejpam-4843	350	11	younǵıs	younǵıs	PROPN
ejpam-4843	350	12	inequality	inequality	NOUN
ejpam-4843	350	13	,	,	PUNCT
ejpam-4843	350	14	revista	revista	X
ejpam-4843	350	15	de	de	X
ejpam-4843	350	16	la	la	PROPN
ejpam-4843	350	17	real	real	PROPN
ejpam-4843	350	18	academia	academia	PROPN
ejpam-4843	350	19	de	de	PROPN
ejpam-4843	350	20	ciencias	ciencias	PROPN
ejpam-4843	350	21	exactas	exacta	NOUN
ejpam-4843	350	22	,	,	PUNCT
ejpam-4843	350	23	fìsicas	fìsicas	NOUN
ejpam-4843	350	24	y	y	PROPN
ejpam-4843	350	25	naturales	naturales	PROPN
ejpam-4843	350	26	.	.	PUNCT
ejpam-4843	351	1	serie	serie	PROPN
ejpam-4843	351	2	a.	a.	PROPN
ejpam-4843	351	3	matematicas	matematicas	PROPN
ejpam-4843	351	4	111	111	NUM
ejpam-4843	351	5	(	(	PUNCT
ejpam-4843	351	6	2017	2017	NUM
ejpam-4843	351	7	)	)	PUNCT
ejpam-4843	351	8	,	,	PUNCT
ejpam-4843	351	9	no	no	INTJ
ejpam-4843	351	10	.	.	NOUN
ejpam-4843	351	11	2	2	NUM
ejpam-4843	351	12	,	,	PUNCT
ejpam-4843	351	13	349	349	NUM
ejpam-4843	351	14	-	-	SYM
ejpam-4843	351	15	354	354	NUM
ejpam-4843	351	16	.	.	PUNCT
ejpam-4843	352	1	[	[	X
ejpam-4843	352	2	14	14	NUM
ejpam-4843	352	3	]	]	PUNCT
ejpam-4843	352	4	s.	s.	PROPN
ejpam-4843	352	5	s.	s.	PROPN
ejpam-4843	352	6	dragomir	dragomir	PROPN
ejpam-4843	352	7	,	,	PUNCT
ejpam-4843	352	8	p.	p.	NOUN
ejpam-4843	352	9	cerone	cerone	NOUN
ejpam-4843	352	10	and	and	CCONJ
ejpam-4843	352	11	a.	a.	NOUN
ejpam-4843	352	12	sofo	sofo	NOUN
ejpam-4843	352	13	,	,	PUNCT
ejpam-4843	352	14	some	some	DET
ejpam-4843	352	15	remarks	remark	NOUN
ejpam-4843	352	16	on	on	ADP
ejpam-4843	352	17	the	the	DET
ejpam-4843	352	18	trapezoid	trapezoid	ADJ
ejpam-4843	352	19	rule	rule	NOUN
ejpam-4843	352	20	in	in	ADP
ejpam-4843	352	21	numerical	numerical	ADJ
ejpam-4843	352	22	integration	integration	NOUN
ejpam-4843	352	23	,	,	PUNCT
ejpam-4843	352	24	indian	indian	PROPN
ejpam-4843	352	25	j.	j.	PROPN
ejpam-4843	352	26	pure	pure	PROPN
ejpam-4843	352	27	appl	appl	PROPN
ejpam-4843	352	28	.	.	PUNCT
ejpam-4843	352	29	math	math	NOUN
ejpam-4843	352	30	.	.	PUNCT
ejpam-4843	353	1	31	31	NUM
ejpam-4843	353	2	(	(	PUNCT
ejpam-4843	353	3	2000	2000	NUM
ejpam-4843	353	4	)	)	PUNCT
ejpam-4843	354	1	[	[	X
ejpam-4843	354	2	15	15	NUM
ejpam-4843	354	3	]	]	X
ejpam-4843	354	4	s.s	s.s	PROPN
ejpam-4843	354	5	dragomir	dragomir	ADJ
ejpam-4843	354	6	,	,	PUNCT
ejpam-4843	354	7	tensorial	tensorial	ADJ
ejpam-4843	354	8	norm	norm	NOUN
ejpam-4843	354	9	inequalities	inequality	NOUN
ejpam-4843	354	10	for	for	ADP
ejpam-4843	354	11	taylor	taylor	PROPN
ejpam-4843	354	12	’s	’s	PART
ejpam-4843	354	13	expansions	expansion	NOUN
ejpam-4843	354	14	of	of	ADP
ejpam-4843	354	15	functions	function	NOUN
ejpam-4843	354	16	of	of	ADP
ejpam-4843	354	17	selfadjoint	selfadjoint	NOUN
ejpam-4843	354	18	operators	operator	NOUN
ejpam-4843	354	19	in	in	ADP
ejpam-4843	354	20	hilbert	hilbert	PROPN
ejpam-4843	354	21	spaces	space	NOUN
ejpam-4843	354	22	,	,	PUNCT
ejpam-4843	354	23	researchgate	researchgate	NOUN
ejpam-4843	354	24	,	,	PUNCT
ejpam-4843	354	25	november	november	PROPN
ejpam-4843	354	26	2022	2022	NUM
ejpam-4843	354	27	.	.	PUNCT
ejpam-4843	355	1	[	[	X
ejpam-4843	355	2	16	16	NUM
ejpam-4843	355	3	]	]	X
ejpam-4843	355	4	s.s	s.s	PROPN
ejpam-4843	355	5	dragomir	dragomir	PROPN
ejpam-4843	355	6	,	,	PUNCT
ejpam-4843	355	7	an	an	DET
ejpam-4843	355	8	ostrowski	ostrowski	ADJ
ejpam-4843	355	9	type	type	NOUN
ejpam-4843	355	10	tensorial	tensorial	ADJ
ejpam-4843	355	11	norm	norm	NOUN
ejpam-4843	355	12	inequality	inequality	NOUN
ejpam-4843	355	13	for	for	ADP
ejpam-4843	355	14	continuous	continuous	ADJ
ejpam-4843	355	15	functions	function	NOUN
ejpam-4843	355	16	of	of	ADP
ejpam-4843	355	17	selfadjoint	selfadjoint	NOUN
ejpam-4843	355	18	operators	operator	NOUN
ejpam-4843	355	19	in	in	ADP
ejpam-4843	355	20	hilbert	hilbert	PROPN
ejpam-4843	355	21	spaces	space	NOUN
ejpam-4843	355	22	,	,	PUNCT
ejpam-4843	355	23	researchgate	researchgate	NOUN
ejpam-4843	355	24	,	,	PUNCT
ejpam-4843	355	25	november	november	PROPN
ejpam-4843	355	26	2022	2022	NUM
ejpam-4843	355	27	.	.	PUNCT
ejpam-4843	356	1	[	[	X
ejpam-4843	356	2	17	17	NUM
ejpam-4843	356	3	]	]	X
ejpam-4843	356	4	guo	guo	PROPN
ejpam-4843	356	5	.	.	PUNCT
ejpam-4843	357	1	h.	h.	PROPN
ejpam-4843	357	2	,	,	PUNCT
ejpam-4843	357	3	what	what	PRON
ejpam-4843	357	4	are	be	AUX
ejpam-4843	357	5	tensors	tensor	NOUN
ejpam-4843	357	6	exactly	exactly	ADV
ejpam-4843	357	7	?	?	PUNCT
ejpam-4843	357	8	,	,	PUNCT
ejpam-4843	357	9	world	world	NOUN
ejpam-4843	357	10	scientific	scientific	PROPN
ejpam-4843	357	11	,	,	PUNCT
ejpam-4843	357	12	june	june	PROPN
ejpam-4843	357	13	2021	2021	NUM
ejpam-4843	357	14	,	,	PUNCT
ejpam-4843	357	15	https://doi.org/10.1142/12388	https://doi.org/10.1142/12388	X
ejpam-4843	358	1	[	[	X
ejpam-4843	358	2	18	18	NUM
ejpam-4843	358	3	]	]	X
ejpam-4843	358	4	hezenci	hezenci	PROPN
ejpam-4843	358	5	,	,	PUNCT
ejpam-4843	358	6	f.	f.	PROPN
ejpam-4843	358	7	,	,	PUNCT
ejpam-4843	358	8	budak	budak	PROPN
ejpam-4843	358	9	,	,	PUNCT
ejpam-4843	358	10	h.	h.	PROPN
ejpam-4843	358	11	kara	kara	PROPN
ejpam-4843	358	12	,	,	PUNCT
ejpam-4843	358	13	h.	h.	PROPN
ejpam-4843	358	14	new	new	ADJ
ejpam-4843	358	15	version	version	NOUN
ejpam-4843	358	16	of	of	ADP
ejpam-4843	358	17	fractional	fractional	PROPN
ejpam-4843	358	18	simpson	simpson	PROPN
ejpam-4843	358	19	type	type	PROPN
ejpam-4843	358	20	inequalities	inequality	NOUN
ejpam-4843	358	21	for	for	ADP
ejpam-4843	358	22	twice	twice	ADJ
ejpam-4843	358	23	differentiable	differentiable	ADJ
ejpam-4843	358	24	functions	function	NOUN
ejpam-4843	358	25	.	.	PUNCT
ejpam-4843	359	1	adv	adv	PROPN
ejpam-4843	359	2	differ	differ	VERB
ejpam-4843	359	3	equ	equ	PROPN
ejpam-4843	359	4	2021	2021	NUM
ejpam-4843	359	5	,	,	PUNCT
ejpam-4843	359	6	460	460	NUM
ejpam-4843	359	7	(	(	PUNCT
ejpam-4843	359	8	2021	2021	NUM
ejpam-4843	359	9	)	)	PUNCT
ejpam-4843	359	10	.	.	PUNCT
ejpam-4843	360	1	https://doi.org/10.1186/s13662-021-03615-2	https://doi.org/10.1186/s13662-021-03615-2	PRON
ejpam-4843	361	1	[	[	X
ejpam-4843	361	2	19	19	NUM
ejpam-4843	361	3	]	]	X
ejpam-4843	361	4	ozdemir	ozdemir	PROPN
ejpam-4843	361	5	,	,	PUNCT
ejpam-4843	361	6	m.	m.	PROPN
ejpam-4843	361	7	e.	e.	PROPN
ejpam-4843	361	8	,	,	PUNCT
ejpam-4843	361	9	ardic	ardic	ADJ
ejpam-4843	361	10	,	,	PUNCT
ejpam-4843	361	11	a.	a.	NOUN
ejpam-4843	361	12	a.	a.	NOUN
ejpam-4843	361	13	,	,	PUNCT
ejpam-4843	361	14	some	some	DET
ejpam-4843	361	15	companions	companion	NOUN
ejpam-4843	361	16	of	of	ADP
ejpam-4843	361	17	ostrowski	ostrowski	ADJ
ejpam-4843	361	18	type	type	NOUN
ejpam-4843	361	19	inequality	inequality	NOUN
ejpam-4843	361	20	for	for	ADP
ejpam-4843	361	21	functions	function	NOUN
ejpam-4843	361	22	whose	whose	DET
ejpam-4843	361	23	second	second	ADJ
ejpam-4843	361	24	derivatives	derivative	NOUN
ejpam-4843	361	25	are	be	AUX
ejpam-4843	361	26	convex	convex	ADJ
ejpam-4843	361	27	and	and	CCONJ
ejpam-4843	361	28	concave	concave	VERB
ejpam-4843	361	29	with	with	ADP
ejpam-4843	361	30	applications	application	NOUN
ejpam-4843	361	31	,	,	PUNCT
ejpam-4843	361	32	arab	arab	PROPN
ejpam-4843	361	33	j	j	PROPN
ejpam-4843	361	34	math	math	PROPN
ejpam-4843	361	35	sci	sci	PROPN
ejpam-4843	361	36	21(1	21(1	NUM
ejpam-4843	361	37	)	)	PUNCT
ejpam-4843	361	38	(	(	PUNCT
ejpam-4843	361	39	2015	2015	NUM
ejpam-4843	361	40	)	)	PUNCT
ejpam-4843	361	41	,	,	PUNCT
ejpam-4843	361	42	53–66	53–66	NUM
ejpam-4843	361	43	,	,	PUNCT
ejpam-4843	361	44	https://doi.org/10.1016/j.ajmsc.2013.12.002	https://doi.org/10.1016/j.ajmsc.2013.12.002	NOUN
ejpam-4843	361	45	[	[	X
ejpam-4843	361	46	20	20	NUM
ejpam-4843	361	47	]	]	PUNCT
ejpam-4843	361	48	a.	a.	NOUN
ejpam-4843	361	49	koranyi	koranyi	PROPN
ejpam-4843	361	50	.	.	PUNCT
ejpam-4843	362	1	on	on	ADP
ejpam-4843	362	2	some	some	DET
ejpam-4843	362	3	classes	class	NOUN
ejpam-4843	362	4	of	of	ADP
ejpam-4843	362	5	analytic	analytic	ADJ
ejpam-4843	362	6	functions	function	NOUN
ejpam-4843	362	7	of	of	ADP
ejpam-4843	362	8	several	several	ADJ
ejpam-4843	362	9	variables	variable	NOUN
ejpam-4843	362	10	.	.	PUNCT
ejpam-4843	363	1	trans	trans	PROPN
ejpam-4843	363	2	.	.	PUNCT
ejpam-4843	364	1	amer	amer	PROPN
ejpam-4843	364	2	.	.	PUNCT
ejpam-4843	364	3	math	math	PROPN
ejpam-4843	364	4	.	.	PUNCT
ejpam-4843	365	1	soc	soc	PROPN
ejpam-4843	365	2	.	.	PUNCT
ejpam-4843	365	3	,	,	PUNCT
ejpam-4843	365	4	101	101	NUM
ejpam-4843	365	5	(	(	PUNCT
ejpam-4843	365	6	1961	1961	NUM
ejpam-4843	365	7	)	)	PUNCT
ejpam-4843	365	8	,	,	PUNCT
ejpam-4843	365	9	520	520	NUM
ejpam-4843	365	10	-	-	SYM
ejpam-4843	365	11	554	554	NUM
ejpam-4843	365	12	.	.	PUNCT
ejpam-4843	366	1	[	[	X
ejpam-4843	366	2	21	21	NUM
ejpam-4843	366	3	]	]	X
ejpam-4843	366	4	d.	d.	PROPN
ejpam-4843	366	5	s.	s.	PROPN
ejpam-4843	366	6	mitrinović	mitrinović	PROPN
ejpam-4843	366	7	,	,	PUNCT
ejpam-4843	366	8	analytic	analytic	ADJ
ejpam-4843	366	9	inequalities	inequality	NOUN
ejpam-4843	366	10	,	,	PUNCT
ejpam-4843	366	11	springer	springer	NOUN
ejpam-4843	366	12	-	-	PUNCT
ejpam-4843	366	13	verlag	verlag	PROPN
ejpam-4843	366	14	,	,	PUNCT
ejpam-4843	366	15	berlin	berlin	PROPN
ejpam-4843	366	16	,	,	PUNCT
ejpam-4843	366	17	1970	1970	NUM
ejpam-4843	366	18	.	.	PUNCT
ejpam-4843	367	1	[	[	X
ejpam-4843	367	2	22	22	NUM
ejpam-4843	367	3	]	]	PUNCT
ejpam-4843	367	4	a.	a.	NOUN
ejpam-4843	367	5	ostrowski	ostrowski	NOUN
ejpam-4843	367	6	,	,	PUNCT
ejpam-4843	367	7	uber	uber	AUX
ejpam-4843	367	8	die	die	VERB
ejpam-4843	367	9	absolutabweichung	absolutabweichung	NOUN
ejpam-4843	367	10	einer	einer	PROPN
ejpam-4843	367	11	differentienbaren	differentienbaren	PROPN
ejpam-4843	367	12	funktionen	funktionen	PROPN
ejpam-4843	367	13	von	von	PROPN
ejpam-4843	367	14	ihren	ihren	PROPN
ejpam-4843	367	15	integralmittelwert	integralmittelwert	PROPN
ejpam-4843	367	16	,	,	PUNCT
ejpam-4843	367	17	comment	comment	NOUN
ejpam-4843	367	18	.	.	PUNCT
ejpam-4843	368	1	math	math	NOUN
ejpam-4843	368	2	.	.	PUNCT
ejpam-4843	369	1	hel	hel	PROPN
ejpam-4843	369	2	,	,	PUNCT
ejpam-4843	369	3	10	10	NUM
ejpam-4843	369	4	(	(	PUNCT
ejpam-4843	369	5	1938	1938	NUM
ejpam-4843	369	6	)	)	PUNCT
ejpam-4843	369	7	,	,	PUNCT
ejpam-4843	369	8	226	226	NUM
ejpam-4843	369	9	-	-	SYM
ejpam-4843	369	10	227	227	NUM
ejpam-4843	369	11	.	.	PUNCT
ejpam-4843	370	1	[	[	X
ejpam-4843	370	2	23	23	NUM
ejpam-4843	370	3	]	]	PUNCT
ejpam-4843	370	4	pečarić	pečarić	PROPN
ejpam-4843	370	5	j.	j.	PROPN
ejpam-4843	370	6	,	,	PUNCT
ejpam-4843	370	7	proschan	proschan	PROPN
ejpam-4843	370	8	f.	f.	PROPN
ejpam-4843	370	9	,	,	PUNCT
ejpam-4843	370	10	tong	tong	PROPN
ejpam-4843	370	11	y.	y.	PROPN
ejpam-4843	370	12	,	,	PUNCT
ejpam-4843	370	13	convex	convex	NOUN
ejpam-4843	370	14	functions	function	NOUN
ejpam-4843	370	15	,	,	PUNCT
ejpam-4843	370	16	partial	partial	ADJ
ejpam-4843	370	17	orderings	ordering	NOUN
ejpam-4843	370	18	,	,	PUNCT
ejpam-4843	370	19	and	and	CCONJ
ejpam-4843	370	20	statistical	statistical	ADJ
ejpam-4843	370	21	applications	application	NOUN
ejpam-4843	370	22	,	,	PUNCT
ejpam-4843	370	23	academic	academic	ADJ
ejpam-4843	370	24	press	press	NOUN
ejpam-4843	370	25	,	,	PUNCT
ejpam-4843	370	26	inc	inc	PROPN
ejpam-4843	370	27	,	,	PUNCT
ejpam-4843	370	28	united	united	PROPN
ejpam-4843	370	29	states	states	PROPN
ejpam-4843	370	30	of	of	ADP
ejpam-4843	370	31	america	america	PROPN
ejpam-4843	370	32	,	,	PUNCT
ejpam-4843	370	33	1992	1992	NUM
ejpam-4843	370	34	.	.	PUNCT
ejpam-4843	371	1	[	[	X
ejpam-4843	371	2	24	24	NUM
ejpam-4843	371	3	]	]	SYM
ejpam-4843	371	4	sarikaya	sarikaya	NOUN
ejpam-4843	371	5	,	,	PUNCT
ejpam-4843	371	6	m.z	m.z	PROPN
ejpam-4843	371	7	,	,	PUNCT
ejpam-4843	371	8	e.	e.	PROPN
ejpam-4843	371	9	set	set	PROPN
ejpam-4843	371	10	,	,	PUNCT
ejpam-4843	371	11	m.e	m.e	PROPN
ejpam-4843	371	12	.	.	PROPN
ejpam-4843	371	13	özdemir	özdemir	PROPN
ejpam-4843	371	14	,	,	PUNCT
ejpam-4843	371	15	on	on	ADP
ejpam-4843	371	16	new	new	ADJ
ejpam-4843	371	17	inequalities	inequality	NOUN
ejpam-4843	371	18	of	of	ADP
ejpam-4843	371	19	simpson	simpson	PROPN
ejpam-4843	371	20	’s	’s	PART
ejpam-4843	371	21	type	type	NOUN
ejpam-4843	371	22	for	for	ADP
ejpam-4843	371	23	convex	convex	NOUN
ejpam-4843	371	24	functions	function	NOUN
ejpam-4843	371	25	,	,	PUNCT
ejpam-4843	371	26	rgmia	rgmia	NOUN
ejpam-4843	371	27	res	re	NOUN
ejpam-4843	371	28	.	.	PUNCT
ejpam-4843	371	29	rep	rep	PROPN
ejpam-4843	371	30	.	.	PROPN
ejpam-4843	371	31	coll	coll	PROPN
ejpam-4843	371	32	.	.	PROPN
ejpam-4843	371	33	13	13	NUM
ejpam-4843	371	34	(	(	PUNCT
ejpam-4843	371	35	2	2	NUM
ejpam-4843	371	36	)	)	PUNCT
ejpam-4843	371	37	(	(	PUNCT
ejpam-4843	371	38	2010	2010	NUM
ejpam-4843	371	39	)	)	PUNCT
ejpam-4843	371	40	article2	article2	NOUN
ejpam-4843	371	41	.	.	PUNCT
ejpam-4843	372	1	[	[	X
ejpam-4843	372	2	25	25	NUM
ejpam-4843	372	3	]	]	PUNCT
ejpam-4843	372	4	stojiljković	stojiljković	NOUN
ejpam-4843	372	5	,	,	PUNCT
ejpam-4843	372	6	v.	v.	ADV
ejpam-4843	372	7	;	;	PUNCT
ejpam-4843	372	8	ramaswamy	ramaswamy	ADJ
ejpam-4843	372	9	,	,	PUNCT
ejpam-4843	372	10	r.	r.	PROPN
ejpam-4843	372	11	;	;	PUNCT
ejpam-4843	372	12	abdelnaby	abdelnaby	PROPN
ejpam-4843	372	13	,	,	PUNCT
ejpam-4843	372	14	o.a.a	o.a.a	PROPN
ejpam-4843	372	15	.	.	PUNCT
ejpam-4843	372	16	;	;	PUNCT
ejpam-4843	372	17	radenović	radenović	VERB
ejpam-4843	372	18	,	,	PUNCT
ejpam-4843	372	19	s.	s.	PROPN
ejpam-4843	372	20	some	some	DET
ejpam-4843	372	21	novel	novel	ADJ
ejpam-4843	372	22	inequalities	inequality	NOUN
ejpam-4843	372	23	for	for	ADP
ejpam-4843	372	24	lr-(k	lr-(k	ADJ
ejpam-4843	372	25	,	,	PUNCT
ejpam-4843	372	26	h	h	NOUN
ejpam-4843	372	27	-	-	PUNCT
ejpam-4843	372	28	m)-p	m)-p	ADV
ejpam-4843	372	29	convex	convex	NOUN
ejpam-4843	372	30	interval	interval	NOUN
ejpam-4843	372	31	valued	value	VERB
ejpam-4843	372	32	functions	function	NOUN
ejpam-4843	372	33	by	by	ADP
ejpam-4843	372	34	means	mean	NOUN
ejpam-4843	372	35	of	of	ADP
ejpam-4843	372	36	pseudo	pseudo	NOUN
ejpam-4843	372	37	order	order	NOUN
ejpam-4843	372	38	relation	relation	NOUN
ejpam-4843	372	39	.	.	PUNCT
ejpam-4843	373	1	fractal	fractal	ADJ
ejpam-4843	373	2	fract	fract	PROPN
ejpam-4843	373	3	.	.	PUNCT
ejpam-4843	374	1	2022	2022	NUM
ejpam-4843	374	2	,	,	PUNCT
ejpam-4843	374	3	6	6	NUM
ejpam-4843	374	4	,	,	PUNCT
ejpam-4843	374	5	726	726	NUM
ejpam-4843	374	6	.	.	PUNCT
ejpam-4843	375	1	https://doi.org/10.3390/fractalfract6120726	https://doi.org/10.3390/fractalfract6120726	PROPN
ejpam-4843	376	1	[	[	X
ejpam-4843	376	2	26	26	NUM
ejpam-4843	376	3	]	]	PUNCT
ejpam-4843	376	4	stojiljković	stojiljković	NOUN
ejpam-4843	376	5	,	,	PUNCT
ejpam-4843	376	6	v.	v.	ADV
ejpam-4843	376	7	;	;	PUNCT
ejpam-4843	376	8	ramaswamy	ramaswamy	ADJ
ejpam-4843	376	9	,	,	PUNCT
ejpam-4843	376	10	r.	r.	PROPN
ejpam-4843	376	11	;	;	PUNCT
ejpam-4843	376	12	alshammari	alshammari	PROPN
ejpam-4843	376	13	,	,	PUNCT
ejpam-4843	376	14	f.	f.	PROPN
ejpam-4843	376	15	;	;	PUNCT
ejpam-4843	376	16	ashour	ashour	PROPN
ejpam-4843	376	17	,	,	PUNCT
ejpam-4843	376	18	o.a	o.a	PROPN
ejpam-4843	376	19	.	.	PROPN
ejpam-4843	376	20	;	;	PUNCT
ejpam-4843	376	21	alghazwani	alghazwani	PROPN
ejpam-4843	376	22	,	,	PUNCT
ejpam-4843	376	23	m.l.h	m.l.h	PROPN
ejpam-4843	376	24	.	.	PROPN
ejpam-4843	376	25	;	;	PUNCT
ejpam-4843	376	26	radenović	radenović	VERB
ejpam-4843	376	27	,	,	PUNCT
ejpam-4843	376	28	s.	s.	PROPN
ejpam-4843	376	29	hermite	hermite	PROPN
ejpam-4843	376	30	–	–	PUNCT
ejpam-4843	376	31	hadamard	hadamard	ADJ
ejpam-4843	376	32	type	type	NOUN
ejpam-4843	376	33	inequalities	inequality	NOUN
ejpam-4843	376	34	involving	involve	VERB
ejpam-4843	376	35	(	(	PUNCT
ejpam-4843	376	36	k	k	X
ejpam-4843	376	37	-	-	ADJ
ejpam-4843	376	38	p	p	ADJ
ejpam-4843	376	39	)	)	PUNCT
ejpam-4843	376	40	fractional	fractional	ADJ
ejpam-4843	376	41	operator	operator	NOUN
ejpam-4843	376	42	for	for	ADP
ejpam-4843	376	43	various	various	ADJ
ejpam-4843	376	44	types	type	NOUN
ejpam-4843	376	45	of	of	ADP
ejpam-4843	376	46	convex	convex	NOUN
ejpam-4843	376	47	functions	function	NOUN
ejpam-4843	376	48	.	.	PUNCT
ejpam-4843	377	1	fractal	fractal	ADJ
ejpam-4843	377	2	fract	fract	NOUN
ejpam-4843	377	3	.	.	PUNCT
ejpam-4843	378	1	2022	2022	NUM
ejpam-4843	378	2	,	,	PUNCT
ejpam-4843	378	3	6	6	NUM
ejpam-4843	378	4	,	,	PUNCT
ejpam-4843	378	5	376	376	NUM
ejpam-4843	378	6	.	.	PUNCT
ejpam-4843	379	1	https://doi.org/10.3390/fractalfract6070376	https://doi.org/10.3390/fractalfract6070376	NOUN
ejpam-4843	379	2	references	reference	NOUN
ejpam-4843	379	3	1433	1433	NUM
ejpam-4843	380	1	[	[	X
ejpam-4843	380	2	27	27	NUM
ejpam-4843	380	3	]	]	PUNCT
ejpam-4843	380	4	stojiljković	stojiljković	NOUN
ejpam-4843	380	5	,	,	PUNCT
ejpam-4843	380	6	v.	v.	ADV
ejpam-4843	380	7	;	;	PUNCT
ejpam-4843	380	8	ramaswamy	ramaswamy	ADJ
ejpam-4843	380	9	,	,	PUNCT
ejpam-4843	380	10	r.	r.	PROPN
ejpam-4843	380	11	;	;	PUNCT
ejpam-4843	380	12	ashour	ashour	PROPN
ejpam-4843	380	13	abdelnaby	abdelnaby	NOUN
ejpam-4843	380	14	,	,	PUNCT
ejpam-4843	380	15	o.a	o.a	PROPN
ejpam-4843	380	16	.	.	PROPN
ejpam-4843	380	17	;	;	PUNCT
ejpam-4843	380	18	radenović	radenović	VERB
ejpam-4843	380	19	,	,	PUNCT
ejpam-4843	380	20	s.	s.	PROPN
ejpam-4843	380	21	riemannliouville	riemannliouville	VERB
ejpam-4843	380	22	fractional	fractional	ADJ
ejpam-4843	380	23	inclusions	inclusion	NOUN
ejpam-4843	380	24	for	for	ADP
ejpam-4843	380	25	convex	convex	NOUN
ejpam-4843	380	26	functions	function	NOUN
ejpam-4843	380	27	using	use	VERB
ejpam-4843	380	28	interval	interval	NOUN
ejpam-4843	380	29	valued	value	VERB
ejpam-4843	380	30	setting	setting	NOUN
ejpam-4843	380	31	.	.	PUNCT
ejpam-4843	381	1	mathematics	mathematic	NOUN
ejpam-4843	381	2	2022	2022	NUM
ejpam-4843	381	3	,	,	PUNCT
ejpam-4843	381	4	10	10	NUM
ejpam-4843	381	5	,	,	PUNCT
ejpam-4843	381	6	3491	3491	NUM
ejpam-4843	381	7	.	.	PUNCT
ejpam-4843	382	1	https://doi.org/10.3390/math10193491	https://doi.org/10.3390/math10193491	NOUN
ejpam-4843	383	1	[	[	X
ejpam-4843	383	2	28	28	NUM
ejpam-4843	383	3	]	]	PUNCT
ejpam-4843	383	4	stojiljković	stojiljković	NOUN
ejpam-4843	383	5	,	,	PUNCT
ejpam-4843	383	6	v.	v.	ADV
ejpam-4843	383	7	;	;	PUNCT
ejpam-4843	383	8	ramaswamy	ramaswamy	ADJ
ejpam-4843	383	9	,	,	PUNCT
ejpam-4843	383	10	r.	r.	PROPN
ejpam-4843	383	11	;	;	PUNCT
ejpam-4843	383	12	abdelnaby	abdelnaby	PROPN
ejpam-4843	383	13	,	,	PUNCT
ejpam-4843	383	14	o.a.a	o.a.a	PROPN
ejpam-4843	383	15	.	.	PUNCT
ejpam-4843	383	16	;	;	PUNCT
ejpam-4843	383	17	radenović	radenović	VERB
ejpam-4843	383	18	,	,	PUNCT
ejpam-4843	383	19	s.	s.	PROPN
ejpam-4843	383	20	some	some	DET
ejpam-4843	383	21	refinements	refinement	NOUN
ejpam-4843	383	22	of	of	ADP
ejpam-4843	383	23	the	the	DET
ejpam-4843	383	24	tensorial	tensorial	ADJ
ejpam-4843	383	25	inequalities	inequality	NOUN
ejpam-4843	383	26	in	in	ADP
ejpam-4843	383	27	hilbert	hilbert	PROPN
ejpam-4843	383	28	spaces	space	NOUN
ejpam-4843	383	29	.	.	PUNCT
ejpam-4843	384	1	symmetry	symmetry	NOUN
ejpam-4843	384	2	2023	2023	NUM
ejpam-4843	384	3	,	,	PUNCT
ejpam-4843	384	4	15	15	NUM
ejpam-4843	384	5	,	,	PUNCT
ejpam-4843	384	6	925	925	NUM
ejpam-4843	384	7	.	.	PUNCT
ejpam-4843	385	1	https://doi.org/10.3390/sym15040925	https://doi.org/10.3390/sym15040925	NOUN
ejpam-4843	386	1	[	[	X
ejpam-4843	386	2	29	29	NUM
ejpam-4843	386	3	]	]	PUNCT
ejpam-4843	386	4	stojiljković	stojiljković	NOUN
ejpam-4843	386	5	,	,	PUNCT
ejpam-4843	386	6	v.	v.	ADV
ejpam-4843	386	7	;	;	PUNCT
ejpam-4843	386	8	hermite	hermite	ADJ
ejpam-4843	386	9	–	–	PUNCT
ejpam-4843	386	10	hadamard	hadamard	ADJ
ejpam-4843	386	11	–	–	PUNCT
ejpam-4843	386	12	type	type	NOUN
ejpam-4843	386	13	fractional	fractional	ADJ
ejpam-4843	386	14	–	–	PUNCT
ejpam-4843	386	15	integral	integral	ADJ
ejpam-4843	386	16	inequalities	inequality	NOUN
ejpam-4843	386	17	for	for	ADP
ejpam-4843	386	18	(	(	PUNCT
ejpam-4843	386	19	p	p	X
ejpam-4843	386	20	,	,	PUNCT
ejpam-4843	386	21	h)convex	h)convex	PROPN
ejpam-4843	386	22	fuzzy	fuzzy	ADJ
ejpam-4843	386	23	-	-	PUNCT
ejpam-4843	386	24	interval	interval	NOUN
ejpam-4843	386	25	-	-	PUNCT
ejpam-4843	386	26	valued	value	VERB
ejpam-4843	386	27	mappings	mapping	NOUN
ejpam-4843	386	28	,	,	PUNCT
ejpam-4843	386	29	electron	electron	NOUN
ejpam-4843	386	30	.	.	PUNCT
ejpam-4843	387	1	j.	j.	PROPN
ejpam-4843	387	2	math	math	PROPN
ejpam-4843	387	3	.	.	PUNCT
ejpam-4843	388	1	5	5	NUM
ejpam-4843	388	2	(	(	PUNCT
ejpam-4843	388	3	2023	2023	NUM
ejpam-4843	388	4	)	)	PUNCT
ejpam-4843	388	5	18–28	18–28	NUM
ejpam-4843	388	6	,	,	PUNCT
ejpam-4843	388	7	doi	doi	NOUN
ejpam-4843	388	8	:	:	PUNCT
ejpam-4843	388	9	10.47443	10.47443	NUM
ejpam-4843	388	10	/	/	SYM
ejpam-4843	388	11	ejm.2023.004	ejm.2023.004	NOUN