id	sid	tid	token	lemma	pos
ejpam-3214	1	1	european	european	PROPN
ejpam-3214	1	2	journal	journal	PROPN
ejpam-3214	1	3	of	of	ADP
ejpam-3214	1	4	pure	pure	ADJ
ejpam-3214	1	5	and	and	CCONJ
ejpam-3214	1	6	applied	apply	VERB
ejpam-3214	1	7	mathematics	mathematic	NOUN
ejpam-3214	1	8	vol	vol	NOUN
ejpam-3214	1	9	.	.	PUNCT
ejpam-3214	2	1	11	11	NUM
ejpam-3214	2	2	,	,	PUNCT
ejpam-3214	2	3	no	no	INTJ
ejpam-3214	2	4	.	.	NOUN
ejpam-3214	2	5	2	2	NUM
ejpam-3214	2	6	,	,	PUNCT
ejpam-3214	2	7	2018	2018	NUM
ejpam-3214	2	8	,	,	PUNCT
ejpam-3214	2	9	400	400	NUM
ejpam-3214	2	10	-	-	SYM
ejpam-3214	2	11	409	409	NUM
ejpam-3214	2	12	issn	issn	PROPN
ejpam-3214	2	13	1307	1307	NUM
ejpam-3214	2	14	-	-	SYM
ejpam-3214	2	15	5543	5543	NUM
ejpam-3214	2	16	–	–	PUNCT
ejpam-3214	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3214	2	18	published	publish	VERB
ejpam-3214	2	19	by	by	ADP
ejpam-3214	2	20	new	new	PROPN
ejpam-3214	2	21	york	york	PROPN
ejpam-3214	2	22	business	business	PROPN
ejpam-3214	2	23	global	global	ADJ
ejpam-3214	2	24	local	local	ADJ
ejpam-3214	2	25	approximation	approximation	NOUN
ejpam-3214	2	26	results	result	NOUN
ejpam-3214	2	27	for	for	ADP
ejpam-3214	2	28	stancu	stancu	ADJ
ejpam-3214	2	29	variant	variant	NOUN
ejpam-3214	2	30	of	of	ADP
ejpam-3214	2	31	modified	modified	ADJ
ejpam-3214	2	32	szász	szász	NOUN
ejpam-3214	2	33	-	-	PUNCT
ejpam-3214	2	34	mirakjan	mirakjan	NOUN
ejpam-3214	2	35	operators	operator	NOUN
ejpam-3214	2	36	ankita	ankita	VERB
ejpam-3214	2	37	r	r	PROPN
ejpam-3214	2	38	devdhara1	devdhara1	PROPN
ejpam-3214	2	39	,	,	PUNCT
ejpam-3214	2	40	vishnu	vishnu	PROPN
ejpam-3214	2	41	narayan	narayan	PROPN
ejpam-3214	2	42	mishra2,∗	mishra2,∗	PROPN
ejpam-3214	2	43	1	1	NUM
ejpam-3214	2	44	applied	applied	ADJ
ejpam-3214	2	45	mathematics	mathematic	NOUN
ejpam-3214	2	46	and	and	CCONJ
ejpam-3214	2	47	humanities	humanities	PROPN
ejpam-3214	2	48	department	department	PROPN
ejpam-3214	2	49	,	,	PUNCT
ejpam-3214	2	50	sardar	sardar	PROPN
ejpam-3214	2	51	vallabhbhai	vallabhbhai	PROPN
ejpam-3214	2	52	national	national	PROPN
ejpam-3214	2	53	institute	institute	PROPN
ejpam-3214	2	54	of	of	ADP
ejpam-3214	2	55	technology	technology	PROPN
ejpam-3214	2	56	,	,	PUNCT
ejpam-3214	2	57	surat	surat	PROPN
ejpam-3214	2	58	395	395	NUM
ejpam-3214	2	59	007	007	NUM
ejpam-3214	2	60	,	,	PUNCT
ejpam-3214	2	61	india	india	PROPN
ejpam-3214	2	62	2	2	NUM
ejpam-3214	2	63	department	department	NOUN
ejpam-3214	2	64	of	of	ADP
ejpam-3214	2	65	mathematics	mathematic	NOUN
ejpam-3214	2	66	,	,	PUNCT
ejpam-3214	2	67	indira	indira	PROPN
ejpam-3214	2	68	gandhi	gandhi	PROPN
ejpam-3214	2	69	national	national	PROPN
ejpam-3214	2	70	tribal	tribal	PROPN
ejpam-3214	2	71	university	university	PROPN
ejpam-3214	2	72	,	,	PUNCT
ejpam-3214	2	73	lalpur	lalpur	PROPN
ejpam-3214	2	74	,	,	PUNCT
ejpam-3214	2	75	amarkantak	amarkantak	VERB
ejpam-3214	2	76	484	484	NUM
ejpam-3214	2	77	887	887	NUM
ejpam-3214	2	78	,	,	PUNCT
ejpam-3214	2	79	madhya	madhya	PROPN
ejpam-3214	2	80	pradesh	pradesh	PROPN
ejpam-3214	2	81	,	,	PUNCT
ejpam-3214	2	82	india	india	PROPN
ejpam-3214	2	83	abstract	abstract	PROPN
ejpam-3214	2	84	.	.	PUNCT
ejpam-3214	3	1	the	the	DET
ejpam-3214	3	2	aim	aim	NOUN
ejpam-3214	3	3	of	of	ADP
ejpam-3214	3	4	this	this	DET
ejpam-3214	3	5	paper	paper	NOUN
ejpam-3214	3	6	is	be	AUX
ejpam-3214	3	7	to	to	PART
ejpam-3214	3	8	obtain	obtain	VERB
ejpam-3214	3	9	local	local	ADJ
ejpam-3214	3	10	approximation	approximation	NOUN
ejpam-3214	3	11	results	result	NOUN
ejpam-3214	3	12	for	for	ADP
ejpam-3214	3	13	stancu	stancu	ADJ
ejpam-3214	3	14	type	type	NOUN
ejpam-3214	3	15	generalization	generalization	NOUN
ejpam-3214	3	16	of	of	ADP
ejpam-3214	3	17	modified	modified	ADJ
ejpam-3214	3	18	szász	szász	NOUN
ejpam-3214	3	19	-	-	PUNCT
ejpam-3214	3	20	mirakjan	mirakjan	NOUN
ejpam-3214	3	21	operators	operator	NOUN
ejpam-3214	3	22	.	.	PUNCT
ejpam-3214	4	1	first	first	ADV
ejpam-3214	4	2	,	,	PUNCT
ejpam-3214	4	3	we	we	PRON
ejpam-3214	4	4	calculate	calculate	VERB
ejpam-3214	4	5	moments	moment	NOUN
ejpam-3214	4	6	of	of	ADP
ejpam-3214	4	7	the	the	DET
ejpam-3214	4	8	operators	operator	NOUN
ejpam-3214	4	9	.	.	PUNCT
ejpam-3214	5	1	some	some	DET
ejpam-3214	5	2	direct	direct	ADJ
ejpam-3214	5	3	results	result	NOUN
ejpam-3214	5	4	of	of	ADP
ejpam-3214	5	5	the	the	DET
ejpam-3214	5	6	operators	operator	NOUN
ejpam-3214	5	7	are	be	AUX
ejpam-3214	5	8	investigated	investigate	VERB
ejpam-3214	5	9	.	.	PUNCT
ejpam-3214	6	1	the	the	DET
ejpam-3214	6	2	rate	rate	NOUN
ejpam-3214	6	3	of	of	ADP
ejpam-3214	6	4	convergence	convergence	NOUN
ejpam-3214	6	5	of	of	ADP
ejpam-3214	6	6	the	the	DET
ejpam-3214	6	7	operators	operator	NOUN
ejpam-3214	6	8	is	be	AUX
ejpam-3214	6	9	evaluated	evaluate	VERB
ejpam-3214	6	10	.	.	PUNCT
ejpam-3214	7	1	in	in	ADP
ejpam-3214	7	2	last	last	ADJ
ejpam-3214	7	3	section	section	NOUN
ejpam-3214	7	4	of	of	ADP
ejpam-3214	7	5	the	the	DET
ejpam-3214	7	6	paper	paper	NOUN
ejpam-3214	7	7	,	,	PUNCT
ejpam-3214	7	8	the	the	DET
ejpam-3214	7	9	voronovskaya	voronovskaya	NOUN
ejpam-3214	7	10	type	type	NOUN
ejpam-3214	7	11	result	result	NOUN
ejpam-3214	7	12	is	be	AUX
ejpam-3214	7	13	obtained	obtain	VERB
ejpam-3214	7	14	.	.	PUNCT
ejpam-3214	8	1	2010	2010	NUM
ejpam-3214	8	2	mathematics	mathematic	NOUN
ejpam-3214	8	3	subject	subject	NOUN
ejpam-3214	8	4	classifications	classification	NOUN
ejpam-3214	8	5	:	:	PUNCT
ejpam-3214	8	6	41a10	41a10	NUM
ejpam-3214	8	7	,	,	PUNCT
ejpam-3214	8	8	41a25	41a25	NUM
ejpam-3214	8	9	,	,	PUNCT
ejpam-3214	8	10	41a36	41a36	NUM
ejpam-3214	8	11	key	key	ADJ
ejpam-3214	8	12	words	word	NOUN
ejpam-3214	8	13	and	and	CCONJ
ejpam-3214	8	14	phrases	phrase	NOUN
ejpam-3214	8	15	:	:	PUNCT
ejpam-3214	8	16	szász	szász	NUM
ejpam-3214	8	17	-	-	PUNCT
ejpam-3214	8	18	mirakjan	mirakjan	NOUN
ejpam-3214	8	19	operators	operator	NOUN
ejpam-3214	8	20	,	,	PUNCT
ejpam-3214	8	21	modulus	modulus	NOUN
ejpam-3214	8	22	of	of	ADP
ejpam-3214	8	23	continuity	continuity	NOUN
ejpam-3214	8	24	,	,	PUNCT
ejpam-3214	8	25	rate	rate	NOUN
ejpam-3214	8	26	of	of	ADP
ejpam-3214	8	27	convergence	convergence	NOUN
ejpam-3214	8	28	,	,	PUNCT
ejpam-3214	8	29	peetre	peetre	NOUN
ejpam-3214	8	30	k	k	NOUN
ejpam-3214	8	31	-functional	-functional	ADJ
ejpam-3214	8	32	1	1	NUM
ejpam-3214	8	33	.	.	PUNCT
ejpam-3214	8	34	introduction	introduction	NOUN
ejpam-3214	8	35	in	in	ADP
ejpam-3214	8	36	1950	1950	NUM
ejpam-3214	8	37	,	,	PUNCT
ejpam-3214	8	38	otto	otto	NOUN
ejpam-3214	8	39	and	and	CCONJ
ejpam-3214	8	40	mirakjan	mirakjan	NOUN
ejpam-3214	9	1	[	[	X
ejpam-3214	9	2	5	5	NUM
ejpam-3214	9	3	]	]	PUNCT
ejpam-3214	9	4	introduced	introduce	VERB
ejpam-3214	9	5	szász	szász	NUM
ejpam-3214	9	6	-	-	PUNCT
ejpam-3214	9	7	mirakjan	mirakjan	NOUN
ejpam-3214	9	8	operators	operator	NOUN
ejpam-3214	9	9	;	;	PUNCT
ejpam-3214	9	10	generalization	generalization	NOUN
ejpam-3214	9	11	of	of	ADP
ejpam-3214	9	12	bernstein	bernstein	PROPN
ejpam-3214	9	13	operators	operators	PROPN
ejpam-3214	9	14	defined	define	VERB
ejpam-3214	9	15	by	by	ADP
ejpam-3214	9	16	mn(f)(x	mn(f)(x	PROPN
ejpam-3214	9	17	)	)	PUNCT
ejpam-3214	9	18	=	=	SYM
ejpam-3214	10	1	e−nx	e−nx	NOUN
ejpam-3214	10	2	∞∑	∞∑	PROPN
ejpam-3214	10	3	k=0	k=0	PROPN
ejpam-3214	10	4	(	(	PUNCT
ejpam-3214	10	5	nx)k	nx)k	PROPN
ejpam-3214	10	6	k	k	NOUN
ejpam-3214	10	7	!	!	PUNCT
ejpam-3214	11	1	f	f	PROPN
ejpam-3214	12	1	(	(	PUNCT
ejpam-3214	12	2	k	k	NOUN
ejpam-3214	12	3	n	n	PROPN
ejpam-3214	12	4	)	)	PUNCT
ejpam-3214	12	5	.	.	PUNCT
ejpam-3214	13	1	(	(	PUNCT
ejpam-3214	13	2	1	1	X
ejpam-3214	13	3	)	)	PUNCT
ejpam-3214	13	4	in	in	ADP
ejpam-3214	13	5	his	his	PRON
ejpam-3214	13	6	paper	paper	NOUN
ejpam-3214	13	7	d.d	d.d	PROPN
ejpam-3214	13	8	.	.	PROPN
ejpam-3214	13	9	stancu	stancu	PROPN
ejpam-3214	13	10	[	[	X
ejpam-3214	13	11	3	3	X
ejpam-3214	13	12	]	]	PUNCT
ejpam-3214	13	13	introduced	introduce	VERB
ejpam-3214	13	14	a	a	DET
ejpam-3214	13	15	positive	positive	ADJ
ejpam-3214	13	16	linear	linear	ADJ
ejpam-3214	13	17	polynomial	polynomial	ADJ
ejpam-3214	13	18	type	type	NOUN
ejpam-3214	13	19	operators	operator	NOUN
ejpam-3214	13	20	defined	define	VERB
ejpam-3214	13	21	by	by	ADP
ejpam-3214	13	22	bα	bα	PROPN
ejpam-3214	13	23	,	,	PUNCT
ejpam-3214	13	24	β	β	X
ejpam-3214	13	25	n	n	X
ejpam-3214	13	26	(	(	PUNCT
ejpam-3214	13	27	f)(x	f)(x	PROPN
ejpam-3214	13	28	)	)	PUNCT
ejpam-3214	13	29	=	=	SYM
ejpam-3214	14	1	n∑	n∑	NOUN
ejpam-3214	14	2	k=0	k=0	PROPN
ejpam-3214	14	3	(	(	PUNCT
ejpam-3214	14	4	n	n	X
ejpam-3214	14	5	k	k	X
ejpam-3214	14	6	)	)	PUNCT
ejpam-3214	14	7	xk	xk	PROPN
ejpam-3214	14	8	(	(	PUNCT
ejpam-3214	15	1	1−	1−	NUM
ejpam-3214	15	2	x)n−k	x)n−k	PROPN
ejpam-3214	15	3	f	f	PROPN
ejpam-3214	15	4	(	(	PUNCT
ejpam-3214	15	5	k	k	PROPN
ejpam-3214	15	6	+	+	CCONJ
ejpam-3214	15	7	α	α	PROPN
ejpam-3214	15	8	n+	n+	X
ejpam-3214	15	9	β	β	NOUN
ejpam-3214	15	10	)	)	PUNCT
ejpam-3214	15	11	.	.	PUNCT
ejpam-3214	16	1	(	(	PUNCT
ejpam-3214	16	2	2	2	X
ejpam-3214	16	3	)	)	PUNCT
ejpam-3214	16	4	where	where	SCONJ
ejpam-3214	16	5	,	,	PUNCT
ejpam-3214	16	6	0	0	NUM
ejpam-3214	16	7	≤	≤	NUM
ejpam-3214	16	8	α	α	NOUN
ejpam-3214	16	9	≤	≤	ADJ
ejpam-3214	16	10	β	β	X
ejpam-3214	16	11	and	and	CCONJ
ejpam-3214	16	12	0	0	NUM
ejpam-3214	16	13	≤	≤	NUM
ejpam-3214	16	14	x	x	SYM
ejpam-3214	16	15	≤	≤	NUM
ejpam-3214	16	16	1	1	NUM
ejpam-3214	16	17	.	.	PUNCT
ejpam-3214	17	1	walczak	walczak	ADJ
ejpam-3214	17	2	[	[	X
ejpam-3214	17	3	13	13	NUM
ejpam-3214	17	4	]	]	PUNCT
ejpam-3214	17	5	investigated	investigate	VERB
ejpam-3214	17	6	generalization	generalization	NOUN
ejpam-3214	17	7	of	of	ADP
ejpam-3214	17	8	szász	szász	PROPN
ejpam-3214	17	9	-	-	PUNCT
ejpam-3214	17	10	mirakjan	mirakjan	NOUN
ejpam-3214	17	11	operators	operator	NOUN
ejpam-3214	17	12	defined	define	VERB
ejpam-3214	17	13	by	by	ADP
ejpam-3214	17	14	sn[f	sn[f	PROPN
ejpam-3214	17	15	;	;	PUNCT
ejpam-3214	17	16	an	an	DET
ejpam-3214	17	17	,	,	PUNCT
ejpam-3214	17	18	bn	bn	NOUN
ejpam-3214	17	19	,	,	PUNCT
ejpam-3214	17	20	q	q	X
ejpam-3214	17	21	,	,	PUNCT
ejpam-3214	17	22	x	x	X
ejpam-3214	17	23	]	]	X
ejpam-3214	17	24	=	=	PUNCT
ejpam-3214	17	25	∞∑	∞∑	NUM
ejpam-3214	17	26	k=0	k=0	PROPN
ejpam-3214	17	27	san	san	PROPN
ejpam-3214	17	28	,	,	PUNCT
ejpam-3214	17	29	k(x)f	k(x)f	PROPN
ejpam-3214	17	30	(	(	PUNCT
ejpam-3214	17	31	k	k	PROPN
ejpam-3214	17	32	bn	bn	PROPN
ejpam-3214	17	33	+	+	NOUN
ejpam-3214	17	34	q	q	PROPN
ejpam-3214	17	35	)	)	PUNCT
ejpam-3214	17	36	.	.	PUNCT
ejpam-3214	18	1	,	,	PUNCT
ejpam-3214	18	2	(	(	PUNCT
ejpam-3214	18	3	3	3	X
ejpam-3214	18	4	)	)	PUNCT
ejpam-3214	18	5	∗corresponding	∗corresponde	VERB
ejpam-3214	18	6	author	author	NOUN
ejpam-3214	18	7	.	.	PUNCT
ejpam-3214	19	1	email	email	NOUN
ejpam-3214	19	2	addresses	address	NOUN
ejpam-3214	19	3	:	:	PUNCT
ejpam-3214	19	4	krishna.devdhara@gmail.com	krishna.devdhara@gmail.com	X
ejpam-3214	19	5	(	(	PUNCT
ejpam-3214	19	6	a.r	a.r	PROPN
ejpam-3214	19	7	.	.	PROPN
ejpam-3214	19	8	devdhara	devdhara	PROPN
ejpam-3214	19	9	)	)	PUNCT
ejpam-3214	19	10	,	,	PUNCT
ejpam-3214	19	11	vishnunarayanmishra@gmail.com	vishnunarayanmishra@gmail.com	X
ejpam-3214	19	12	(	(	PUNCT
ejpam-3214	19	13	v.n	v.n	PROPN
ejpam-3214	19	14	.	.	PROPN
ejpam-3214	19	15	mishra	mishra	PROPN
ejpam-3214	19	16	)	)	PUNCT
ejpam-3214	19	17	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3214	20	1	400	400	NUM
ejpam-3214	20	2	c	c	X
ejpam-3214	20	3	©	©	PROPN
ejpam-3214	20	4	2018	2018	NUM
ejpam-3214	20	5	ejpam	ejpam	VERB
ejpam-3214	20	6	all	all	DET
ejpam-3214	20	7	rights	right	NOUN
ejpam-3214	20	8	reserved	reserve	VERB
ejpam-3214	20	9	.	.	PUNCT
ejpam-3214	21	1	a.r	a.r	PROPN
ejpam-3214	21	2	.	.	PROPN
ejpam-3214	21	3	devdhara	devdhara	PROPN
ejpam-3214	21	4	,	,	PUNCT
ejpam-3214	21	5	v.n	v.n	PROPN
ejpam-3214	21	6	.	.	PUNCT
ejpam-3214	21	7	mishra	mishra	PROPN
ejpam-3214	21	8	/	/	SYM
ejpam-3214	21	9	eur	eur	PROPN
ejpam-3214	21	10	.	.	PUNCT
ejpam-3214	22	1	j.	j.	PROPN
ejpam-3214	22	2	pure	pure	PROPN
ejpam-3214	22	3	appl	appl	PROPN
ejpam-3214	22	4	.	.	PROPN
ejpam-3214	22	5	math	math	PROPN
ejpam-3214	22	6	,	,	PUNCT
ejpam-3214	22	7	11	11	NUM
ejpam-3214	22	8	(	(	PUNCT
ejpam-3214	22	9	2	2	NUM
ejpam-3214	22	10	)	)	PUNCT
ejpam-3214	22	11	(	(	PUNCT
ejpam-3214	22	12	2018	2018	NUM
ejpam-3214	22	13	)	)	PUNCT
ejpam-3214	22	14	,	,	PUNCT
ejpam-3214	22	15	400	400	NUM
ejpam-3214	22	16	-	-	SYM
ejpam-3214	22	17	409	409	NUM
ejpam-3214	22	18	401	401	NUM
ejpam-3214	22	19	where	where	SCONJ
ejpam-3214	22	20	san	san	PROPN
ejpam-3214	22	21	,	,	PUNCT
ejpam-3214	22	22	k(x	k(x	PROPN
ejpam-3214	22	23	)	)	PUNCT
ejpam-3214	22	24	=	=	PRON
ejpam-3214	23	1	e−anx	e−anx	NOUN
ejpam-3214	23	2	(	(	PUNCT
ejpam-3214	23	3	anx)k	anx)k	PROPN
ejpam-3214	23	4	k	k	PROPN
ejpam-3214	23	5	!	!	PROPN
ejpam-3214	23	6	,	,	PUNCT
ejpam-3214	23	7	for	for	ADP
ejpam-3214	23	8	k	k	PROPN
ejpam-3214	23	9	=	=	SYM
ejpam-3214	23	10	0	0	NUM
ejpam-3214	23	11	,	,	PUNCT
ejpam-3214	23	12	1	1	NUM
ejpam-3214	23	13	,	,	PUNCT
ejpam-3214	23	14	2	2	NUM
ejpam-3214	23	15	,	,	PUNCT
ejpam-3214	23	16	...	...	PUNCT
ejpam-3214	23	17	;	;	PUNCT
ejpam-3214	23	18	q	q	X
ejpam-3214	23	19	≥	≥	NOUN
ejpam-3214	23	20	0	0	NUM
ejpam-3214	23	21	is	be	AUX
ejpam-3214	23	22	a	a	DET
ejpam-3214	23	23	fixed	fix	VERB
ejpam-3214	23	24	number	number	NOUN
ejpam-3214	23	25	,	,	PUNCT
ejpam-3214	23	26	(	(	PUNCT
ejpam-3214	23	27	an)∞1	an)∞1	ADJ
ejpam-3214	23	28	and	and	CCONJ
ejpam-3214	23	29	(	(	PUNCT
ejpam-3214	23	30	bn)∞1	bn)∞1	NOUN
ejpam-3214	23	31	are	be	AUX
ejpam-3214	23	32	increasing	increase	VERB
ejpam-3214	23	33	and	and	CCONJ
ejpam-3214	23	34	unbounded	unbounded	ADJ
ejpam-3214	23	35	sequences	sequence	NOUN
ejpam-3214	23	36	such	such	ADJ
ejpam-3214	23	37	that	that	SCONJ
ejpam-3214	23	38	1	1	NUM
ejpam-3214	23	39	≤	≤	NOUN
ejpam-3214	23	40	an	an	DET
ejpam-3214	23	41	≤	≤	NUM
ejpam-3214	23	42	bn	bn	NOUN
ejpam-3214	23	43	,	,	PUNCT
ejpam-3214	23	44	and	and	CCONJ
ejpam-3214	23	45	(	(	PUNCT
ejpam-3214	23	46	an	an	DET
ejpam-3214	23	47	/	/	SYM
ejpam-3214	23	48	bn)∞1	bn)∞1	NOUN
ejpam-3214	23	49	is	be	AUX
ejpam-3214	23	50	non	non	ADJ
ejpam-3214	23	51	-	-	ADJ
ejpam-3214	23	52	decreasing	decrease	VERB
ejpam-3214	23	53	and	and	CCONJ
ejpam-3214	23	54	an	an	DET
ejpam-3214	23	55	bn	bn	NOUN
ejpam-3214	23	56	=	=	SYM
ejpam-3214	23	57	1	1	NUM
ejpam-3214	24	1	+	+	NUM
ejpam-3214	24	2	o	o	NOUN
ejpam-3214	24	3	(	(	PUNCT
ejpam-3214	24	4	1	1	NUM
ejpam-3214	24	5	bn	bn	NOUN
ejpam-3214	24	6	)	)	PUNCT
ejpam-3214	24	7	walczask	walczask	NOUN
ejpam-3214	25	1	[	[	X
ejpam-3214	25	2	13	13	NUM
ejpam-3214	25	3	]	]	PUNCT
ejpam-3214	25	4	derived	derive	VERB
ejpam-3214	25	5	pointwise	pointwise	NOUN
ejpam-3214	25	6	and	and	CCONJ
ejpam-3214	25	7	uniform	uniform	ADJ
ejpam-3214	25	8	convergence	convergence	NOUN
ejpam-3214	25	9	of	of	ADP
ejpam-3214	25	10	the	the	DET
ejpam-3214	25	11	operators	operator	NOUN
ejpam-3214	25	12	(	(	PUNCT
ejpam-3214	25	13	3	3	X
ejpam-3214	25	14	)	)	PUNCT
ejpam-3214	25	15	in	in	ADP
ejpam-3214	25	16	exponential	exponential	ADJ
ejpam-3214	25	17	weight	weight	NOUN
ejpam-3214	25	18	space	space	NOUN
ejpam-3214	25	19	.	.	PUNCT
ejpam-3214	26	1	there	there	PRON
ejpam-3214	26	2	are	be	VERB
ejpam-3214	26	3	some	some	DET
ejpam-3214	26	4	other	other	ADJ
ejpam-3214	26	5	linear	linear	ADJ
ejpam-3214	26	6	positive	positive	ADJ
ejpam-3214	26	7	operators	operator	NOUN
ejpam-3214	26	8	with	with	ADP
ejpam-3214	26	9	stancu	stancu	ADJ
ejpam-3214	26	10	type	type	NOUN
ejpam-3214	26	11	modification	modification	NOUN
ejpam-3214	26	12	,	,	PUNCT
ejpam-3214	27	1	e.g.	e.g.	ADV
ejpam-3214	27	2	[	[	X
ejpam-3214	27	3	1	1	NUM
ejpam-3214	27	4	]	]	PUNCT
ejpam-3214	27	5	,	,	PUNCT
ejpam-3214	27	6	[	[	X
ejpam-3214	27	7	10	10	NUM
ejpam-3214	27	8	]	]	PUNCT
ejpam-3214	27	9	,	,	PUNCT
ejpam-3214	27	10	[	[	X
ejpam-3214	27	11	11	11	NUM
ejpam-3214	27	12	]	]	PUNCT
ejpam-3214	27	13	,	,	PUNCT
ejpam-3214	27	14	[	[	X
ejpam-3214	27	15	12	12	NUM
ejpam-3214	27	16	]	]	PUNCT
ejpam-3214	27	17	.	.	PUNCT
ejpam-3214	28	1	recently	recently	ADV
ejpam-3214	28	2	,	,	PUNCT
ejpam-3214	28	3	gandhi	gandhi	PROPN
ejpam-3214	28	4	and	and	CCONJ
ejpam-3214	28	5	mishra	mishra	PROPN
ejpam-3214	29	1	[	[	X
ejpam-3214	29	2	4	4	NUM
ejpam-3214	29	3	]	]	PUNCT
ejpam-3214	29	4	introduced	introduce	VERB
ejpam-3214	29	5	modification	modification	NOUN
ejpam-3214	29	6	of	of	ADP
ejpam-3214	29	7	szász	szász	NOUN
ejpam-3214	29	8	-	-	PUNCT
ejpam-3214	29	9	mirakjan	mirakjan	NOUN
ejpam-3214	29	10	operators	operator	NOUN
ejpam-3214	29	11	(	(	PUNCT
ejpam-3214	29	12	1	1	X
ejpam-3214	29	13	)	)	PUNCT
ejpam-3214	29	14	given	give	VERB
ejpam-3214	29	15	by	by	ADP
ejpam-3214	29	16	sn(f	sn(f	ADP
ejpam-3214	29	17	;	;	PUNCT
ejpam-3214	29	18	x	x	X
ejpam-3214	29	19	)	)	PUNCT
ejpam-3214	29	20	=	=	SYM
ejpam-3214	29	21	∞∑	∞∑	PRON
ejpam-3214	29	22	k=0	k=0	PROPN
ejpam-3214	29	23	e−bnx	e−bnx	NOUN
ejpam-3214	29	24	(	(	PUNCT
ejpam-3214	29	25	bnx)k	bnx)k	PROPN
ejpam-3214	29	26	k	k	NOUN
ejpam-3214	29	27	!	!	PUNCT
ejpam-3214	30	1	f	f	PROPN
ejpam-3214	31	1	(	(	PUNCT
ejpam-3214	31	2	k	k	PROPN
ejpam-3214	31	3	bn	bn	PROPN
ejpam-3214	31	4	)	)	PUNCT
ejpam-3214	31	5	,	,	PUNCT
ejpam-3214	31	6	(	(	PUNCT
ejpam-3214	31	7	4	4	X
ejpam-3214	31	8	)	)	PUNCT
ejpam-3214	31	9	where	where	SCONJ
ejpam-3214	31	10	(	(	PUNCT
ejpam-3214	31	11	bn)∞1	bn)∞1	PROPN
ejpam-3214	31	12	is	be	AUX
ejpam-3214	31	13	an	an	DET
ejpam-3214	31	14	increasing	increase	VERB
ejpam-3214	31	15	sequence	sequence	NOUN
ejpam-3214	31	16	of	of	ADP
ejpam-3214	31	17	positive	positive	ADJ
ejpam-3214	31	18	real	real	ADJ
ejpam-3214	31	19	numbers	number	NOUN
ejpam-3214	31	20	,	,	PUNCT
ejpam-3214	31	21	bn	bn	INTJ
ejpam-3214	31	22	→∞	→∞	PROPN
ejpam-3214	31	23	as	as	ADP
ejpam-3214	31	24	n→∞	n→∞	NUM
ejpam-3214	31	25	,	,	PUNCT
ejpam-3214	31	26	b1	b1	NOUN
ejpam-3214	31	27	≥	≥	NUM
ejpam-3214	31	28	1	1	NUM
ejpam-3214	31	29	.	.	PUNCT
ejpam-3214	32	1	for	for	ADP
ejpam-3214	32	2	bn	bn	NOUN
ejpam-3214	32	3	=	=	SYM
ejpam-3214	32	4	n	n	CCONJ
ejpam-3214	32	5	,	,	PUNCT
ejpam-3214	32	6	we	we	PRON
ejpam-3214	32	7	get	get	VERB
ejpam-3214	32	8	the	the	DET
ejpam-3214	32	9	operators	operator	NOUN
ejpam-3214	32	10	defined	define	VERB
ejpam-3214	32	11	in	in	ADP
ejpam-3214	32	12	(	(	PUNCT
ejpam-3214	32	13	1	1	NUM
ejpam-3214	32	14	)	)	PUNCT
ejpam-3214	32	15	.	.	PUNCT
ejpam-3214	33	1	gandhi	gandhi	PROPN
ejpam-3214	33	2	and	and	CCONJ
ejpam-3214	33	3	mishra	mishra	PROPN
ejpam-3214	33	4	discussed	discuss	VERB
ejpam-3214	33	5	local	local	ADJ
ejpam-3214	33	6	and	and	CCONJ
ejpam-3214	33	7	global	global	ADJ
ejpam-3214	33	8	approximation	approximation	NOUN
ejpam-3214	33	9	results	result	NOUN
ejpam-3214	33	10	of	of	ADP
ejpam-3214	33	11	the	the	DET
ejpam-3214	33	12	operators	operator	NOUN
ejpam-3214	33	13	(	(	PUNCT
ejpam-3214	33	14	4	4	NUM
ejpam-3214	33	15	)	)	PUNCT
ejpam-3214	33	16	in	in	ADP
ejpam-3214	33	17	polynomial	polynomial	ADJ
ejpam-3214	33	18	weighted	weight	VERB
ejpam-3214	33	19	space	space	NOUN
ejpam-3214	33	20	of	of	ADP
ejpam-3214	33	21	polynomials	polynomial	NOUN
ejpam-3214	33	22	.	.	PUNCT
ejpam-3214	34	1	indeed	indeed	ADV
ejpam-3214	34	2	,	,	PUNCT
ejpam-3214	34	3	the	the	DET
ejpam-3214	34	4	rapid	rapid	ADJ
ejpam-3214	34	5	development	development	NOUN
ejpam-3214	34	6	has	have	AUX
ejpam-3214	34	7	led	lead	VERB
ejpam-3214	34	8	to	to	ADP
ejpam-3214	34	9	the	the	DET
ejpam-3214	34	10	discovery	discovery	NOUN
ejpam-3214	34	11	of	of	ADP
ejpam-3214	34	12	new	new	ADJ
ejpam-3214	34	13	generalizations	generalization	NOUN
ejpam-3214	34	14	of	of	ADP
ejpam-3214	34	15	approximation	approximation	NOUN
ejpam-3214	34	16	operators	operator	NOUN
ejpam-3214	34	17	(	(	PUNCT
ejpam-3214	34	18	one	one	PRON
ejpam-3214	34	19	may	may	AUX
ejpam-3214	34	20	refer	refer	VERB
ejpam-3214	34	21	to	to	ADP
ejpam-3214	34	22	[	[	X
ejpam-3214	34	23	2],[7	2],[7	NUM
ejpam-3214	34	24	]	]	PUNCT
ejpam-3214	34	25	,	,	PUNCT
ejpam-3214	35	1	[	[	X
ejpam-3214	35	2	8	8	NUM
ejpam-3214	35	3	]	]	PUNCT
ejpam-3214	35	4	,	,	PUNCT
ejpam-3214	35	5	[	[	X
ejpam-3214	35	6	9	9	NUM
ejpam-3214	35	7	]	]	PUNCT
ejpam-3214	35	8	,	,	PUNCT
ejpam-3214	35	9	[	[	X
ejpam-3214	35	10	15	15	NUM
ejpam-3214	35	11	]	]	NUM
ejpam-3214	35	12	)	)	PUNCT
ejpam-3214	35	13	.	.	PUNCT
ejpam-3214	36	1	in	in	ADP
ejpam-3214	36	2	second	second	ADJ
ejpam-3214	36	3	section	section	NOUN
ejpam-3214	36	4	of	of	ADP
ejpam-3214	36	5	this	this	DET
ejpam-3214	36	6	paper	paper	NOUN
ejpam-3214	36	7	,	,	PUNCT
ejpam-3214	36	8	we	we	PRON
ejpam-3214	36	9	introduce	introduce	VERB
ejpam-3214	36	10	our	our	PRON
ejpam-3214	36	11	stancu	stancu	ADJ
ejpam-3214	36	12	variant	variant	NOUN
ejpam-3214	36	13	of	of	ADP
ejpam-3214	36	14	modified	modified	ADJ
ejpam-3214	36	15	szász	szász	NOUN
ejpam-3214	36	16	-	-	PUNCT
ejpam-3214	36	17	mirakjan	mirakjan	NOUN
ejpam-3214	36	18	operators	operator	NOUN
ejpam-3214	36	19	and	and	CCONJ
ejpam-3214	36	20	we	we	PRON
ejpam-3214	36	21	evaluate	evaluate	VERB
ejpam-3214	36	22	moments	moment	NOUN
ejpam-3214	36	23	of	of	ADP
ejpam-3214	36	24	our	our	PRON
ejpam-3214	36	25	operators	operator	NOUN
ejpam-3214	36	26	.	.	PUNCT
ejpam-3214	37	1	the	the	DET
ejpam-3214	37	2	uniform	uniform	ADJ
ejpam-3214	37	3	convergence	convergence	NOUN
ejpam-3214	37	4	of	of	ADP
ejpam-3214	37	5	the	the	DET
ejpam-3214	37	6	operators	operator	NOUN
ejpam-3214	37	7	is	be	AUX
ejpam-3214	37	8	derived	derive	VERB
ejpam-3214	37	9	.	.	PUNCT
ejpam-3214	38	1	in	in	ADP
ejpam-3214	38	2	third	third	ADJ
ejpam-3214	38	3	section	section	NOUN
ejpam-3214	38	4	,	,	PUNCT
ejpam-3214	38	5	we	we	PRON
ejpam-3214	38	6	discuss	discuss	VERB
ejpam-3214	38	7	local	local	ADJ
ejpam-3214	38	8	approximation	approximation	NOUN
ejpam-3214	38	9	result	result	NOUN
ejpam-3214	38	10	and	and	CCONJ
ejpam-3214	38	11	rate	rate	NOUN
ejpam-3214	38	12	of	of	ADP
ejpam-3214	38	13	convergence	convergence	NOUN
ejpam-3214	38	14	of	of	ADP
ejpam-3214	38	15	the	the	DET
ejpam-3214	38	16	operators	operator	NOUN
ejpam-3214	38	17	.	.	PUNCT
ejpam-3214	39	1	in	in	ADP
ejpam-3214	39	2	the	the	DET
ejpam-3214	39	3	last	last	ADJ
ejpam-3214	39	4	section	section	NOUN
ejpam-3214	39	5	,	,	PUNCT
ejpam-3214	39	6	we	we	PRON
ejpam-3214	39	7	derive	derive	VERB
ejpam-3214	39	8	voronovskaya	voronovskaya	NOUN
ejpam-3214	39	9	type	type	NOUN
ejpam-3214	39	10	result	result	NOUN
ejpam-3214	39	11	for	for	ADP
ejpam-3214	39	12	the	the	DET
ejpam-3214	39	13	operators	operator	NOUN
ejpam-3214	39	14	.	.	PUNCT
ejpam-3214	40	1	2	2	X
ejpam-3214	40	2	.	.	X
ejpam-3214	40	3	construction	construction	NOUN
ejpam-3214	40	4	of	of	ADP
ejpam-3214	40	5	the	the	DET
ejpam-3214	40	6	operators	operator	NOUN
ejpam-3214	40	7	motivated	motivate	VERB
ejpam-3214	40	8	by	by	ADP
ejpam-3214	40	9	gandhi	gandhi	PROPN
ejpam-3214	40	10	and	and	CCONJ
ejpam-3214	40	11	mishra	mishra	PROPN
ejpam-3214	40	12	[	[	X
ejpam-3214	40	13	4	4	NUM
ejpam-3214	40	14	]	]	PUNCT
ejpam-3214	40	15	,	,	PUNCT
ejpam-3214	40	16	we	we	PRON
ejpam-3214	40	17	introduce	introduce	VERB
ejpam-3214	40	18	stancu	stancu	ADJ
ejpam-3214	40	19	type	type	NOUN
ejpam-3214	40	20	generalization	generalization	NOUN
ejpam-3214	40	21	of	of	ADP
ejpam-3214	40	22	modified	modified	ADJ
ejpam-3214	40	23	szász	szász	NOUN
ejpam-3214	40	24	-	-	PUNCT
ejpam-3214	40	25	mirakjan	mirakjan	NOUN
ejpam-3214	40	26	operators	operator	NOUN
ejpam-3214	40	27	for	for	ADP
ejpam-3214	40	28	f	f	PROPN
ejpam-3214	40	29	∈	∈	PROPN
ejpam-3214	40	30	c[0,∞	c[0,∞	PROPN
ejpam-3214	40	31	)	)	PUNCT
ejpam-3214	40	32	as	as	SCONJ
ejpam-3214	40	33	follows	follow	VERB
ejpam-3214	40	34	:	:	PUNCT
ejpam-3214	40	35	sα	sα	ADJ
ejpam-3214	40	36	,	,	PUNCT
ejpam-3214	40	37	βn	βn	INTJ
ejpam-3214	40	38	(	(	PUNCT
ejpam-3214	40	39	f	f	NOUN
ejpam-3214	40	40	;	;	PUNCT
ejpam-3214	40	41	x	x	X
ejpam-3214	40	42	)	)	PUNCT
ejpam-3214	40	43	=	=	PUNCT
ejpam-3214	41	1	∞∑	∞∑	NUM
ejpam-3214	41	2	k=0	k=0	PROPN
ejpam-3214	41	3	(	(	PUNCT
ejpam-3214	41	4	bnx)k	bnx)k	PROPN
ejpam-3214	41	5	k	k	NOUN
ejpam-3214	41	6	!	!	PUNCT
ejpam-3214	42	1	e−bnxf	e−bnxf	X
ejpam-3214	42	2	(	(	PUNCT
ejpam-3214	42	3	k	k	X
ejpam-3214	43	1	+	+	CCONJ
ejpam-3214	43	2	α	α	PROPN
ejpam-3214	43	3	bn	bn	NOUN
ejpam-3214	44	1	+	+	CCONJ
ejpam-3214	44	2	β	β	X
ejpam-3214	44	3	)	)	PUNCT
ejpam-3214	44	4	,	,	PUNCT
ejpam-3214	44	5	(	(	PUNCT
ejpam-3214	44	6	5	5	X
ejpam-3214	44	7	)	)	PUNCT
ejpam-3214	44	8	where	where	SCONJ
ejpam-3214	44	9	,	,	PUNCT
ejpam-3214	44	10	1	1	NUM
ejpam-3214	44	11	/	/	SYM
ejpam-3214	44	12	bn	bn	NOUN
ejpam-3214	44	13	→	→	SYM
ejpam-3214	44	14	0	0	NUM
ejpam-3214	44	15	as	as	ADP
ejpam-3214	44	16	n	n	NUM
ejpam-3214	44	17	→	→	SYM
ejpam-3214	44	18	∞	∞	PROPN
ejpam-3214	44	19	,	,	PUNCT
ejpam-3214	44	20	bn	bn	X
ejpam-3214	44	21	≥	≥	NOUN
ejpam-3214	44	22	1	1	NUM
ejpam-3214	44	23	.	.	PUNCT
ejpam-3214	45	1	for	for	ADP
ejpam-3214	45	2	α	α	NOUN
ejpam-3214	45	3	=	=	SYM
ejpam-3214	45	4	β	β	X
ejpam-3214	45	5	=	=	SYM
ejpam-3214	45	6	0	0	NUM
ejpam-3214	45	7	we	we	PRON
ejpam-3214	45	8	get	get	VERB
ejpam-3214	45	9	the	the	DET
ejpam-3214	45	10	modified	modify	VERB
ejpam-3214	45	11	szász	szász	NOUN
ejpam-3214	45	12	-	-	PUNCT
ejpam-3214	45	13	mirakjan	mirakjan	NOUN
ejpam-3214	45	14	operators	operator	NOUN
ejpam-3214	45	15	.	.	PUNCT
ejpam-3214	46	1	now	now	ADV
ejpam-3214	46	2	,	,	PUNCT
ejpam-3214	46	3	we	we	PRON
ejpam-3214	46	4	calculate	calculate	VERB
ejpam-3214	46	5	moments	moment	NOUN
ejpam-3214	46	6	of	of	ADP
ejpam-3214	46	7	our	our	PRON
ejpam-3214	46	8	operators	operator	NOUN
ejpam-3214	46	9	(	(	PUNCT
ejpam-3214	46	10	5	5	NUM
ejpam-3214	46	11	)	)	PUNCT
ejpam-3214	46	12	.	.	PUNCT
ejpam-3214	47	1	lemma	lemma	PROPN
ejpam-3214	47	2	2.1	2.1	NUM
ejpam-3214	47	3	.	.	PUNCT
ejpam-3214	48	1	let	let	VERB
ejpam-3214	48	2	ej(t	ej(t	NUM
ejpam-3214	48	3	)	)	PUNCT
ejpam-3214	48	4	=	=	SYM
ejpam-3214	48	5	tj	tj	PROPN
ejpam-3214	48	6	for	for	ADP
ejpam-3214	48	7	j	j	PROPN
ejpam-3214	48	8	=	=	SYM
ejpam-3214	48	9	0	0	NUM
ejpam-3214	48	10	,	,	PUNCT
ejpam-3214	48	11	1	1	NUM
ejpam-3214	48	12	,	,	PUNCT
ejpam-3214	48	13	2	2	NUM
ejpam-3214	48	14	,	,	PUNCT
ejpam-3214	48	15	the	the	DET
ejpam-3214	48	16	followings	following	NOUN
ejpam-3214	48	17	are	be	AUX
ejpam-3214	48	18	true	true	ADJ
ejpam-3214	48	19	:	:	PUNCT
ejpam-3214	48	20	sα	sα	ADJ
ejpam-3214	48	21	,	,	PUNCT
ejpam-3214	48	22	βn	βn	X
ejpam-3214	48	23	(	(	PUNCT
ejpam-3214	48	24	1;x	1;x	NOUN
ejpam-3214	48	25	)	)	PUNCT
ejpam-3214	48	26	=	=	SYM
ejpam-3214	48	27	1	1	NUM
ejpam-3214	48	28	,	,	PUNCT
ejpam-3214	48	29	(	(	PUNCT
ejpam-3214	48	30	6	6	NUM
ejpam-3214	48	31	)	)	PUNCT
ejpam-3214	48	32	sα	sα	ADP
ejpam-3214	48	33	,	,	PUNCT
ejpam-3214	48	34	βn	βn	X
ejpam-3214	48	35	(	(	PUNCT
ejpam-3214	48	36	t;x	t;x	NUM
ejpam-3214	48	37	)	)	PUNCT
ejpam-3214	49	1	=	=	NOUN
ejpam-3214	50	1	bnx+	bnx+	NOUN
ejpam-3214	50	2	α	α	NOUN
ejpam-3214	50	3	bn	bn	NOUN
ejpam-3214	50	4	+	+	CCONJ
ejpam-3214	50	5	β	β	X
ejpam-3214	50	6	,	,	PUNCT
ejpam-3214	50	7	(	(	PUNCT
ejpam-3214	50	8	7	7	X
ejpam-3214	50	9	)	)	PUNCT
ejpam-3214	50	10	sα	sα	ADP
ejpam-3214	50	11	,	,	PUNCT
ejpam-3214	50	12	βn	βn	INTJ
ejpam-3214	50	13	(	(	PUNCT
ejpam-3214	50	14	t2;x	t2;x	PROPN
ejpam-3214	50	15	)	)	PUNCT
ejpam-3214	50	16	=	=	SYM
ejpam-3214	50	17	b2nx	b2nx	SYM
ejpam-3214	50	18	2	2	NUM
ejpam-3214	50	19	(	(	PUNCT
ejpam-3214	50	20	bn	bn	NOUN
ejpam-3214	50	21	+	+	NOUN
ejpam-3214	50	22	β)2	β)2	X
ejpam-3214	50	23	+	+	CCONJ
ejpam-3214	50	24	(	(	PUNCT
ejpam-3214	50	25	1	1	NUM
ejpam-3214	50	26	+	+	NUM
ejpam-3214	50	27	2α)bn	2α)bn	NUM
ejpam-3214	50	28	(	(	PUNCT
ejpam-3214	50	29	bn	bn	NOUN
ejpam-3214	50	30	+	+	CCONJ
ejpam-3214	50	31	β)2	β)2	ADV
ejpam-3214	50	32	x+	x+	ADJ
ejpam-3214	50	33	α2	α2	PROPN
ejpam-3214	50	34	(	(	PUNCT
ejpam-3214	50	35	bn	bn	NOUN
ejpam-3214	50	36	+	+	NOUN
ejpam-3214	50	37	β)2	β)2	X
ejpam-3214	50	38	.	.	PUNCT
ejpam-3214	51	1	(	(	PUNCT
ejpam-3214	51	2	8)	8)	NUM
ejpam-3214	51	3	a.r	a.r	PROPN
ejpam-3214	51	4	.	.	PROPN
ejpam-3214	51	5	devdhara	devdhara	PROPN
ejpam-3214	51	6	,	,	PUNCT
ejpam-3214	51	7	v.n	v.n	PROPN
ejpam-3214	51	8	.	.	PUNCT
ejpam-3214	51	9	mishra	mishra	PROPN
ejpam-3214	51	10	/	/	SYM
ejpam-3214	51	11	eur	eur	PROPN
ejpam-3214	51	12	.	.	PUNCT
ejpam-3214	52	1	j.	j.	PROPN
ejpam-3214	52	2	pure	pure	PROPN
ejpam-3214	52	3	appl	appl	PROPN
ejpam-3214	52	4	.	.	PROPN
ejpam-3214	52	5	math	math	PROPN
ejpam-3214	52	6	,	,	PUNCT
ejpam-3214	52	7	11	11	NUM
ejpam-3214	52	8	(	(	PUNCT
ejpam-3214	52	9	2	2	NUM
ejpam-3214	52	10	)	)	PUNCT
ejpam-3214	52	11	(	(	PUNCT
ejpam-3214	52	12	2018	2018	NUM
ejpam-3214	52	13	)	)	PUNCT
ejpam-3214	52	14	,	,	PUNCT
ejpam-3214	52	15	400	400	NUM
ejpam-3214	52	16	-	-	SYM
ejpam-3214	52	17	409	409	NUM
ejpam-3214	52	18	402	402	NUM
ejpam-3214	52	19	proof	proof	NOUN
ejpam-3214	52	20	.	.	PUNCT
ejpam-3214	53	1	for	for	ADP
ejpam-3214	53	2	i	i	PRON
ejpam-3214	53	3	=	=	SYM
ejpam-3214	53	4	0	0	NUM
ejpam-3214	53	5	,	,	PUNCT
ejpam-3214	53	6	the	the	DET
ejpam-3214	53	7	result	result	NOUN
ejpam-3214	53	8	is	be	AUX
ejpam-3214	53	9	obvious	obvious	ADJ
ejpam-3214	53	10	.	.	PUNCT
ejpam-3214	54	1	for	for	ADP
ejpam-3214	54	2	i	i	PRON
ejpam-3214	54	3	=	=	NOUN
ejpam-3214	54	4	1	1	NUM
ejpam-3214	54	5	,	,	PUNCT
ejpam-3214	54	6	sα	sα	ADV
ejpam-3214	54	7	,	,	PUNCT
ejpam-3214	54	8	βn	βn	X
ejpam-3214	54	9	(	(	PUNCT
ejpam-3214	54	10	t;x	t;x	NUM
ejpam-3214	54	11	)	)	PUNCT
ejpam-3214	54	12	=	=	NOUN
ejpam-3214	55	1	∞∑	∞∑	NUM
ejpam-3214	55	2	k=0	k=0	PROPN
ejpam-3214	55	3	(	(	PUNCT
ejpam-3214	55	4	bnx)k	bnx)k	PROPN
ejpam-3214	55	5	k	k	PROPN
ejpam-3214	55	6	!	!	PUNCT
ejpam-3214	55	7	e−bnx	e−bnx	NOUN
ejpam-3214	55	8	(	(	PUNCT
ejpam-3214	55	9	k	k	X
ejpam-3214	55	10	+	+	CCONJ
ejpam-3214	55	11	α	α	PROPN
ejpam-3214	55	12	bn	bn	NOUN
ejpam-3214	55	13	+	+	CCONJ
ejpam-3214	55	14	β	β	X
ejpam-3214	55	15	)	)	PUNCT
ejpam-3214	55	16	=	=	PUNCT
ejpam-3214	56	1	1	1	NUM
ejpam-3214	56	2	bn	bn	NOUN
ejpam-3214	56	3	+	+	NUM
ejpam-3214	56	4	β	β	NUM
ejpam-3214	56	5	∞∑	∞∑	ADJ
ejpam-3214	56	6	k=0	k=0	PROPN
ejpam-3214	56	7	(	(	PUNCT
ejpam-3214	56	8	bnx)k	bnx)k	PROPN
ejpam-3214	56	9	k	k	NOUN
ejpam-3214	56	10	!	!	PUNCT
ejpam-3214	57	1	e−bnxk	e−bnxk	PROPN
ejpam-3214	58	1	+	+	X
ejpam-3214	58	2	α	α	PROPN
ejpam-3214	58	3	bn	bn	NOUN
ejpam-3214	58	4	+	+	CCONJ
ejpam-3214	58	5	β	β	NOUN
ejpam-3214	58	6	sn(1;x	sn(1;x	NUM
ejpam-3214	58	7	)	)	PUNCT
ejpam-3214	59	1	=	=	PUNCT
ejpam-3214	60	1	bnx+	bnx+	NOUN
ejpam-3214	60	2	α	α	NOUN
ejpam-3214	60	3	bn	bn	NOUN
ejpam-3214	60	4	+	+	CCONJ
ejpam-3214	60	5	β	β	X
ejpam-3214	60	6	.	.	PUNCT
ejpam-3214	61	1	for	for	ADP
ejpam-3214	61	2	i	i	PRON
ejpam-3214	61	3	=	=	SYM
ejpam-3214	61	4	2	2	NUM
ejpam-3214	61	5	,	,	PUNCT
ejpam-3214	61	6	sα	sα	ADV
ejpam-3214	61	7	,	,	PUNCT
ejpam-3214	61	8	βn	βn	INTJ
ejpam-3214	61	9	(	(	PUNCT
ejpam-3214	61	10	t2;x	t2;x	PROPN
ejpam-3214	61	11	)	)	PUNCT
ejpam-3214	61	12	=	=	PUNCT
ejpam-3214	62	1	∞∑	∞∑	NUM
ejpam-3214	62	2	k=0	k=0	PROPN
ejpam-3214	62	3	(	(	PUNCT
ejpam-3214	62	4	bnx)k	bnx)k	PROPN
ejpam-3214	62	5	k	k	PROPN
ejpam-3214	62	6	!	!	PUNCT
ejpam-3214	62	7	e−bnx	e−bnx	NOUN
ejpam-3214	62	8	(	(	PUNCT
ejpam-3214	62	9	k	k	X
ejpam-3214	62	10	+	+	CCONJ
ejpam-3214	62	11	α	α	PROPN
ejpam-3214	62	12	bn	bn	NOUN
ejpam-3214	62	13	+	+	CCONJ
ejpam-3214	62	14	β	β	X
ejpam-3214	62	15	)	)	PUNCT
ejpam-3214	62	16	2	2	NUM
ejpam-3214	62	17	=	=	SYM
ejpam-3214	62	18	1	1	NUM
ejpam-3214	62	19	(	(	PUNCT
ejpam-3214	62	20	bn	bn	NOUN
ejpam-3214	62	21	+	+	NOUN
ejpam-3214	62	22	β)2	β)2	ADV
ejpam-3214	62	23	∞∑	∞∑	ADJ
ejpam-3214	62	24	k=0	k=0	PROPN
ejpam-3214	62	25	(	(	PUNCT
ejpam-3214	62	26	bnx)k	bnx)k	PROPN
ejpam-3214	62	27	k	k	PROPN
ejpam-3214	62	28	!	!	PUNCT
ejpam-3214	63	1	e−bnxk2	e−bnxk2	PROPN
ejpam-3214	64	1	+	+	X
ejpam-3214	64	2	2α	2α	NOUN
ejpam-3214	64	3	(	(	PUNCT
ejpam-3214	64	4	bn	bn	INTJ
ejpam-3214	64	5	+	+	NOUN
ejpam-3214	64	6	β)2	β)2	ADV
ejpam-3214	64	7	∞∑	∞∑	ADJ
ejpam-3214	64	8	k=0	k=0	PROPN
ejpam-3214	64	9	(	(	PUNCT
ejpam-3214	64	10	bnx)k	bnx)k	PROPN
ejpam-3214	64	11	k	k	NOUN
ejpam-3214	64	12	!	!	PUNCT
ejpam-3214	65	1	e−bnxk	e−bnxk	PROPN
ejpam-3214	66	1	+	+	CCONJ
ejpam-3214	66	2	α2	α2	ADJ
ejpam-3214	66	3	(	(	PUNCT
ejpam-3214	66	4	bn	bn	NOUN
ejpam-3214	66	5	+	+	PUNCT
ejpam-3214	66	6	β)2	β)2	X
ejpam-3214	66	7	=	=	SYM
ejpam-3214	66	8	b2nx	b2nx	SYM
ejpam-3214	66	9	2	2	NUM
ejpam-3214	66	10	(	(	PUNCT
ejpam-3214	66	11	bn	bn	NOUN
ejpam-3214	66	12	+	+	NOUN
ejpam-3214	66	13	β)2	β)2	X
ejpam-3214	66	14	+	+	CCONJ
ejpam-3214	66	15	(	(	PUNCT
ejpam-3214	66	16	1	1	NUM
ejpam-3214	66	17	+	+	NUM
ejpam-3214	66	18	2bnα	2bnα	NOUN
ejpam-3214	66	19	)	)	PUNCT
ejpam-3214	66	20	(	(	PUNCT
ejpam-3214	66	21	bn	bn	INTJ
ejpam-3214	66	22	+	+	PUNCT
ejpam-3214	66	23	β)2	β)2	X
ejpam-3214	66	24	bnx+	bnx+	ADJ
ejpam-3214	66	25	α2	α2	PROPN
ejpam-3214	66	26	(	(	PUNCT
ejpam-3214	66	27	bn	bn	NOUN
ejpam-3214	66	28	+	+	NOUN
ejpam-3214	66	29	β)2	β)2	X
ejpam-3214	66	30	.	.	PUNCT
ejpam-3214	67	1	hence	hence	ADV
ejpam-3214	67	2	,	,	PUNCT
ejpam-3214	67	3	lemma	lemma	PROPN
ejpam-3214	67	4	is	be	AUX
ejpam-3214	67	5	proved	prove	VERB
ejpam-3214	67	6	.	.	PUNCT
ejpam-3214	68	1	lemma	lemma	PROPN
ejpam-3214	68	2	2.2	2.2	NUM
ejpam-3214	68	3	.	.	PUNCT
ejpam-3214	69	1	the	the	DET
ejpam-3214	69	2	central	central	ADJ
ejpam-3214	69	3	moments	moment	NOUN
ejpam-3214	69	4	φα	φα	PROPN
ejpam-3214	69	5	,	,	PUNCT
ejpam-3214	69	6	β	β	X
ejpam-3214	69	7	m	m	VERB
ejpam-3214	69	8	(	(	PUNCT
ejpam-3214	69	9	x	x	NOUN
ejpam-3214	69	10	)	)	PUNCT
ejpam-3214	69	11	=	=	SYM
ejpam-3214	69	12	sα	sα	ADJ
ejpam-3214	69	13	,	,	PUNCT
ejpam-3214	69	14	βn	βn	INTJ
ejpam-3214	69	15	(	(	PUNCT
ejpam-3214	69	16	(	(	PUNCT
ejpam-3214	69	17	t−x)m;x	t−x)m;x	PROPN
ejpam-3214	69	18	)	)	PUNCT
ejpam-3214	69	19	for	for	ADP
ejpam-3214	69	20	m	m	PROPN
ejpam-3214	69	21	=	=	SYM
ejpam-3214	69	22	1	1	NUM
ejpam-3214	69	23	,	,	PUNCT
ejpam-3214	69	24	2	2	NUM
ejpam-3214	69	25	are	be	AUX
ejpam-3214	69	26	as	as	SCONJ
ejpam-3214	69	27	follows	follow	VERB
ejpam-3214	69	28	:	:	PUNCT
ejpam-3214	70	1	φα	φα	X
ejpam-3214	70	2	,	,	PUNCT
ejpam-3214	70	3	β	β	X
ejpam-3214	70	4	1	1	NUM
ejpam-3214	70	5	(	(	PUNCT
ejpam-3214	70	6	x	x	NOUN
ejpam-3214	70	7	)	)	PUNCT
ejpam-3214	70	8	=	=	PUNCT
ejpam-3214	70	9	bnx+	bnx+	NOUN
ejpam-3214	70	10	α	α	NOUN
ejpam-3214	70	11	bn	bn	NOUN
ejpam-3214	70	12	+	+	X
ejpam-3214	70	13	β	β	X
ejpam-3214	70	14	−	−	NOUN
ejpam-3214	70	15	x	x	SYM
ejpam-3214	70	16	,	,	PUNCT
ejpam-3214	70	17	(	(	PUNCT
ejpam-3214	70	18	9	9	NUM
ejpam-3214	70	19	)	)	PUNCT
ejpam-3214	70	20	φα	φα	PROPN
ejpam-3214	70	21	,	,	PUNCT
ejpam-3214	70	22	β	β	X
ejpam-3214	70	23	2	2	NUM
ejpam-3214	70	24	(	(	PUNCT
ejpam-3214	70	25	x	x	NOUN
ejpam-3214	70	26	)	)	PUNCT
ejpam-3214	70	27	=	=	SYM
ejpam-3214	70	28	(	(	PUNCT
ejpam-3214	70	29	bn	bn	NUM
ejpam-3214	70	30	bn	bn	NOUN
ejpam-3214	70	31	+	+	NOUN
ejpam-3214	70	32	β	β	X
ejpam-3214	70	33	−	−	NOUN
ejpam-3214	70	34	1	1	NUM
ejpam-3214	70	35	)	)	SYM
ejpam-3214	70	36	2	2	NUM
ejpam-3214	70	37	x2	x2	NOUN
ejpam-3214	71	1	+	+	CCONJ
ejpam-3214	71	2	(	(	PUNCT
ejpam-3214	71	3	(	(	PUNCT
ejpam-3214	71	4	1	1	NUM
ejpam-3214	71	5	+	+	NUM
ejpam-3214	71	6	2α)bn	2α)bn	NUM
ejpam-3214	71	7	(	(	PUNCT
ejpam-3214	71	8	bn	bn	NOUN
ejpam-3214	71	9	+	+	CCONJ
ejpam-3214	71	10	β)2	β)2	ADV
ejpam-3214	71	11	−	−	PROPN
ejpam-3214	71	12	2α	2α	PROPN
ejpam-3214	71	13	bn	bn	NOUN
ejpam-3214	71	14	+	+	X
ejpam-3214	71	15	β	β	X
ejpam-3214	71	16	)	)	PUNCT
ejpam-3214	72	1	x+	x+	VERB
ejpam-3214	72	2	α2	α2	PROPN
ejpam-3214	72	3	(	(	PUNCT
ejpam-3214	72	4	bn	bn	NOUN
ejpam-3214	72	5	+	+	NOUN
ejpam-3214	72	6	β)2	β)2	X
ejpam-3214	72	7	.	.	PUNCT
ejpam-3214	73	1	(	(	PUNCT
ejpam-3214	73	2	10	10	NUM
ejpam-3214	73	3	)	)	PUNCT
ejpam-3214	73	4	proof	proof	NOUN
ejpam-3214	73	5	.	.	PUNCT
ejpam-3214	74	1	using	use	VERB
ejpam-3214	74	2	lemma:(2.1	lemma:(2.1	NOUN
ejpam-3214	74	3	)	)	PUNCT
ejpam-3214	74	4	we	we	PRON
ejpam-3214	74	5	get	get	VERB
ejpam-3214	74	6	the	the	DET
ejpam-3214	74	7	result	result	NOUN
ejpam-3214	74	8	.	.	PUNCT
ejpam-3214	75	1	now	now	ADV
ejpam-3214	75	2	,	,	PUNCT
ejpam-3214	75	3	we	we	PRON
ejpam-3214	75	4	obtain	obtain	VERB
ejpam-3214	75	5	the	the	DET
ejpam-3214	75	6	uniform	uniform	ADJ
ejpam-3214	75	7	convergence	convergence	NOUN
ejpam-3214	75	8	of	of	ADP
ejpam-3214	75	9	the	the	DET
ejpam-3214	75	10	operators	operator	NOUN
ejpam-3214	75	11	sα	sα	ADP
ejpam-3214	75	12	,	,	PUNCT
ejpam-3214	75	13	βn	βn	VERB
ejpam-3214	75	14	to	to	ADP
ejpam-3214	75	15	f	f	PROPN
ejpam-3214	75	16	,	,	PUNCT
ejpam-3214	75	17	f	f	PROPN
ejpam-3214	75	18	∈	∈	PROPN
ejpam-3214	75	19	cξ[0,∞	cξ[0,∞	PROPN
ejpam-3214	75	20	)	)	PUNCT
ejpam-3214	75	21	,	,	PUNCT
ejpam-3214	75	22	cξ[0,∞	cξ[0,∞	PROPN
ejpam-3214	75	23	)	)	PUNCT
ejpam-3214	75	24	=	=	PRON
ejpam-3214	75	25	{	{	PUNCT
ejpam-3214	75	26	f	f	PROPN
ejpam-3214	75	27	∈	∈	PROPN
ejpam-3214	75	28	c[0,∞	c[0,∞	PROPN
ejpam-3214	75	29	)	)	PUNCT
ejpam-3214	75	30	:	:	PUNCT
ejpam-3214	76	1	|f(x)|	|f(x)|	NOUN
ejpam-3214	76	2	≤m(1	≤m(1	NOUN
ejpam-3214	76	3	+	+	CCONJ
ejpam-3214	76	4	t)ξ	t)ξ	NOUN
ejpam-3214	76	5	}	}	PUNCT
ejpam-3214	76	6	for	for	ADP
ejpam-3214	76	7	m	m	PROPN
ejpam-3214	76	8	>	>	X
ejpam-3214	76	9	0	0	NUM
ejpam-3214	76	10	,	,	PUNCT
ejpam-3214	76	11	ξ	ξ	X
ejpam-3214	76	12	>	>	X
ejpam-3214	76	13	0	0	X
ejpam-3214	76	14	.	.	PUNCT
ejpam-3214	76	15	theorem	theorem	VERB
ejpam-3214	76	16	2.3	2.3	NUM
ejpam-3214	76	17	.	.	PUNCT
ejpam-3214	77	1	sα	sα	AUX
ejpam-3214	77	2	,	,	PUNCT
ejpam-3214	77	3	βn	βn	INTJ
ejpam-3214	77	4	(	(	PUNCT
ejpam-3214	77	5	f	f	NOUN
ejpam-3214	77	6	;	;	PUNCT
ejpam-3214	77	7	x	x	X
ejpam-3214	77	8	)	)	PUNCT
ejpam-3214	77	9	converges	converge	VERB
ejpam-3214	77	10	uniformly	uniformly	ADV
ejpam-3214	77	11	to	to	ADP
ejpam-3214	77	12	f(x	f(x	PROPN
ejpam-3214	77	13	)	)	PUNCT
ejpam-3214	77	14	for	for	ADP
ejpam-3214	77	15	0	0	NUM
ejpam-3214	77	16	≤	≤	NUM
ejpam-3214	77	17	x	x	PUNCT
ejpam-3214	77	18	≤	≤	NUM
ejpam-3214	77	19	a	a	X
ejpam-3214	77	20	,	,	PUNCT
ejpam-3214	77	21	f	f	PROPN
ejpam-3214	77	22	∈	∈	PROPN
ejpam-3214	77	23	cξ[0,∞	cξ[0,∞	PROPN
ejpam-3214	77	24	)	)	PUNCT
ejpam-3214	77	25	,	,	PUNCT
ejpam-3214	77	26	ξ	ξ	X
ejpam-3214	77	27	≥	≥	NOUN
ejpam-3214	77	28	2	2	NUM
ejpam-3214	77	29	,	,	PUNCT
ejpam-3214	77	30	a	a	PRON
ejpam-3214	77	31	>	>	X
ejpam-3214	77	32	0	0	X
ejpam-3214	77	33	.	.	PUNCT
ejpam-3214	78	1	proof	proof	NOUN
ejpam-3214	78	2	.	.	PUNCT
ejpam-3214	79	1	using	use	VERB
ejpam-3214	79	2	korovkin	korovkin	NOUN
ejpam-3214	79	3	theorem	theorem	PROPN
ejpam-3214	79	4	,	,	PUNCT
ejpam-3214	79	5	it	it	PRON
ejpam-3214	79	6	is	be	AUX
ejpam-3214	79	7	sufficient	sufficient	ADJ
ejpam-3214	79	8	to	to	PART
ejpam-3214	79	9	show	show	VERB
ejpam-3214	79	10	that	that	SCONJ
ejpam-3214	79	11	lim	lim	PROPN
ejpam-3214	79	12	n→∞	n→∞	PRON
ejpam-3214	79	13	‖sα	‖sα	PROPN
ejpam-3214	79	14	,	,	PUNCT
ejpam-3214	79	15	βn	βn	X
ejpam-3214	79	16	(	(	PUNCT
ejpam-3214	79	17	tj	tj	NOUN
ejpam-3214	79	18	;	;	PUNCT
ejpam-3214	79	19	x)−	x)−	PROPN
ejpam-3214	79	20	xj‖cξ[0,∞	xj‖cξ[0,∞	PROPN
ejpam-3214	79	21	)	)	PUNCT
ejpam-3214	80	1	=	=	SYM
ejpam-3214	80	2	0	0	NUM
ejpam-3214	81	1	a.r	a.r	PROPN
ejpam-3214	81	2	.	.	PROPN
ejpam-3214	81	3	devdhara	devdhara	PROPN
ejpam-3214	81	4	,	,	PUNCT
ejpam-3214	81	5	v.n	v.n	PROPN
ejpam-3214	81	6	.	.	PUNCT
ejpam-3214	81	7	mishra	mishra	PROPN
ejpam-3214	81	8	/	/	SYM
ejpam-3214	81	9	eur	eur	PROPN
ejpam-3214	81	10	.	.	PUNCT
ejpam-3214	82	1	j.	j.	PROPN
ejpam-3214	82	2	pure	pure	PROPN
ejpam-3214	82	3	appl	appl	PROPN
ejpam-3214	82	4	.	.	PROPN
ejpam-3214	82	5	math	math	PROPN
ejpam-3214	82	6	,	,	PUNCT
ejpam-3214	82	7	11	11	NUM
ejpam-3214	82	8	(	(	PUNCT
ejpam-3214	82	9	2	2	NUM
ejpam-3214	82	10	)	)	PUNCT
ejpam-3214	82	11	(	(	PUNCT
ejpam-3214	82	12	2018	2018	NUM
ejpam-3214	82	13	)	)	PUNCT
ejpam-3214	82	14	,	,	PUNCT
ejpam-3214	82	15	400	400	NUM
ejpam-3214	82	16	-	-	SYM
ejpam-3214	82	17	409	409	NUM
ejpam-3214	82	18	403	403	NUM
ejpam-3214	82	19	for	for	ADP
ejpam-3214	82	20	j	j	PROPN
ejpam-3214	82	21	=	=	SYM
ejpam-3214	82	22	0	0	PROPN
ejpam-3214	82	23	,	,	PUNCT
ejpam-3214	82	24	1	1	NUM
ejpam-3214	82	25	,	,	PUNCT
ejpam-3214	82	26	2	2	NUM
ejpam-3214	82	27	.	.	PUNCT
ejpam-3214	83	1	the	the	DET
ejpam-3214	83	2	result	result	NOUN
ejpam-3214	83	3	is	be	AUX
ejpam-3214	83	4	trivial	trivial	ADJ
ejpam-3214	83	5	for	for	ADP
ejpam-3214	83	6	the	the	DET
ejpam-3214	83	7	case	case	NOUN
ejpam-3214	83	8	j	j	NOUN
ejpam-3214	83	9	=	=	SYM
ejpam-3214	83	10	0	0	PROPN
ejpam-3214	83	11	using	use	VERB
ejpam-3214	83	12	(	(	PUNCT
ejpam-3214	83	13	6	6	NUM
ejpam-3214	83	14	)	)	PUNCT
ejpam-3214	83	15	.	.	PUNCT
ejpam-3214	84	1	for	for	ADP
ejpam-3214	84	2	j	j	PROPN
ejpam-3214	84	3	=	=	SYM
ejpam-3214	84	4	1	1	NUM
ejpam-3214	84	5	,	,	PUNCT
ejpam-3214	84	6	the	the	DET
ejpam-3214	84	7	result	result	NOUN
ejpam-3214	84	8	can	can	AUX
ejpam-3214	84	9	be	be	AUX
ejpam-3214	84	10	obtained	obtain	VERB
ejpam-3214	84	11	using	use	VERB
ejpam-3214	84	12	(	(	PUNCT
ejpam-3214	84	13	7	7	NUM
ejpam-3214	84	14	)	)	PUNCT
ejpam-3214	84	15	,	,	PUNCT
ejpam-3214	84	16	as	as	SCONJ
ejpam-3214	84	17	follows	follow	VERB
ejpam-3214	84	18	:	:	PUNCT
ejpam-3214	84	19	lim	lim	PROPN
ejpam-3214	84	20	n→∞	n→∞	PRON
ejpam-3214	84	21	‖sα	‖sα	PROPN
ejpam-3214	84	22	,	,	PUNCT
ejpam-3214	84	23	βn	βn	X
ejpam-3214	84	24	(	(	PUNCT
ejpam-3214	84	25	t;x)−	t;x)−	PROPN
ejpam-3214	84	26	x‖cξ[0,∞	x‖cξ[0,∞	NUM
ejpam-3214	84	27	)	)	PUNCT
ejpam-3214	85	1	=	=	VERB
ejpam-3214	85	2	lim	lim	PROPN
ejpam-3214	85	3	n→∞	n→∞	NUM
ejpam-3214	85	4	∥∥∥∥bnx+	∥∥∥∥bnx+	NOUN
ejpam-3214	85	5	α	α	X
ejpam-3214	85	6	bn	bn	NOUN
ejpam-3214	85	7	+	+	X
ejpam-3214	85	8	β	β	X
ejpam-3214	85	9	−	−	NOUN
ejpam-3214	85	10	x	x	SYM
ejpam-3214	85	11	∥∥∥∥	∥∥∥∥	NUM
ejpam-3214	85	12	cξ[0,∞	cξ[0,∞	NOUN
ejpam-3214	85	13	)	)	PUNCT
ejpam-3214	85	14	=	=	SYM
ejpam-3214	85	15	0	0	X
ejpam-3214	85	16	.	.	PUNCT
ejpam-3214	86	1	finally	finally	ADV
ejpam-3214	86	2	,	,	PUNCT
ejpam-3214	86	3	for	for	ADP
ejpam-3214	86	4	j	j	PROPN
ejpam-3214	86	5	=	=	SYM
ejpam-3214	86	6	2	2	NUM
ejpam-3214	86	7	,	,	PUNCT
ejpam-3214	86	8	using	use	VERB
ejpam-3214	86	9	(	(	PUNCT
ejpam-3214	86	10	8)	8)	NUM
ejpam-3214	86	11	,	,	PUNCT
ejpam-3214	86	12	we	we	PRON
ejpam-3214	86	13	get	get	VERB
ejpam-3214	86	14	lim	lim	PROPN
ejpam-3214	86	15	n→∞	n→∞	X
ejpam-3214	86	16	‖sα	‖sα	PROPN
ejpam-3214	86	17	,	,	PUNCT
ejpam-3214	86	18	βn	βn	X
ejpam-3214	86	19	(	(	PUNCT
ejpam-3214	86	20	t2;x)−	t2;x)−	NOUN
ejpam-3214	86	21	x2‖cξ[0,∞	x2‖cξ[0,∞	PROPN
ejpam-3214	86	22	)	)	PUNCT
ejpam-3214	87	1	=	=	VERB
ejpam-3214	87	2	lim	lim	PROPN
ejpam-3214	87	3	n→∞	n→∞	NUM
ejpam-3214	87	4	∥∥∥∥	∥∥∥∥	NUM
ejpam-3214	87	5	b2nx	b2nx	SYM
ejpam-3214	87	6	2	2	NUM
ejpam-3214	87	7	(	(	PUNCT
ejpam-3214	87	8	bn	bn	NOUN
ejpam-3214	87	9	+	+	NOUN
ejpam-3214	87	10	β)2	β)2	X
ejpam-3214	87	11	+	+	CCONJ
ejpam-3214	87	12	(	(	PUNCT
ejpam-3214	87	13	1	1	NUM
ejpam-3214	87	14	+	+	NUM
ejpam-3214	87	15	2α)bn	2α)bn	NUM
ejpam-3214	87	16	(	(	PUNCT
ejpam-3214	87	17	bn	bn	NOUN
ejpam-3214	87	18	+	+	CCONJ
ejpam-3214	87	19	β)2	β)2	ADV
ejpam-3214	87	20	x+	x+	ADJ
ejpam-3214	87	21	α2	α2	PROPN
ejpam-3214	87	22	(	(	PUNCT
ejpam-3214	87	23	bn	bn	NOUN
ejpam-3214	87	24	+	+	CCONJ
ejpam-3214	87	25	β)2	β)2	ADV
ejpam-3214	87	26	−	−	PROPN
ejpam-3214	87	27	x2	x2	NOUN
ejpam-3214	87	28	∥∥∥∥	∥∥∥∥	PROPN
ejpam-3214	87	29	cξ[0,∞	cξ[0,∞	NOUN
ejpam-3214	87	30	)	)	PUNCT
ejpam-3214	87	31	=	=	SYM
ejpam-3214	87	32	lim	lim	PROPN
ejpam-3214	87	33	n→∞	n→∞	NUM
ejpam-3214	87	34	∥∥∥∥	∥∥∥∥	NUM
ejpam-3214	87	35	b2nx	b2nx	SYM
ejpam-3214	87	36	2	2	NUM
ejpam-3214	87	37	(	(	PUNCT
ejpam-3214	87	38	bn	bn	NOUN
ejpam-3214	87	39	+	+	CCONJ
ejpam-3214	87	40	β)2	β)2	ADV
ejpam-3214	87	41	−	−	PROPN
ejpam-3214	87	42	x2	x2	NOUN
ejpam-3214	87	43	∥∥∥∥	∥∥∥∥	PROPN
ejpam-3214	87	44	cξ[0,∞	cξ[0,∞	NOUN
ejpam-3214	87	45	)	)	PUNCT
ejpam-3214	87	46	=	=	SYM
ejpam-3214	87	47	0	0	NUM
ejpam-3214	87	48	.	.	NOUN
ejpam-3214	87	49	3	3	X
ejpam-3214	87	50	.	.	X
ejpam-3214	87	51	direct	direct	ADJ
ejpam-3214	87	52	result	result	NOUN
ejpam-3214	87	53	in	in	ADP
ejpam-3214	87	54	this	this	DET
ejpam-3214	87	55	section	section	NOUN
ejpam-3214	87	56	,	,	PUNCT
ejpam-3214	87	57	we	we	PRON
ejpam-3214	87	58	give	give	VERB
ejpam-3214	87	59	some	some	DET
ejpam-3214	87	60	local	local	ADJ
ejpam-3214	87	61	results	result	NOUN
ejpam-3214	87	62	for	for	ADP
ejpam-3214	87	63	the	the	DET
ejpam-3214	87	64	operators	operator	NOUN
ejpam-3214	87	65	.	.	PUNCT
ejpam-3214	88	1	let	let	VERB
ejpam-3214	88	2	cb[0,∞	cb[0,∞	PROPN
ejpam-3214	88	3	)	)	PUNCT
ejpam-3214	88	4	be	be	AUX
ejpam-3214	88	5	the	the	DET
ejpam-3214	88	6	space	space	NOUN
ejpam-3214	88	7	of	of	ADP
ejpam-3214	88	8	all	all	DET
ejpam-3214	88	9	real	real	ADV
ejpam-3214	88	10	valued	value	VERB
ejpam-3214	88	11	continuous	continuous	ADJ
ejpam-3214	88	12	bounded	bounded	ADJ
ejpam-3214	88	13	functions	function	NOUN
ejpam-3214	88	14	defined	define	VERB
ejpam-3214	88	15	on	on	ADP
ejpam-3214	88	16	[	[	X
ejpam-3214	88	17	0,∞	0,∞	NOUN
ejpam-3214	88	18	)	)	PUNCT
ejpam-3214	88	19	.	.	PUNCT
ejpam-3214	89	1	the	the	DET
ejpam-3214	89	2	norm	norm	NOUN
ejpam-3214	89	3	on	on	ADP
ejpam-3214	89	4	the	the	DET
ejpam-3214	89	5	space	space	NOUN
ejpam-3214	89	6	cb[0,∞	cb[0,∞	PROPN
ejpam-3214	89	7	)	)	PUNCT
ejpam-3214	89	8	is	be	AUX
ejpam-3214	89	9	the	the	DET
ejpam-3214	89	10	supremum	supremum	ADJ
ejpam-3214	89	11	norm	norm	NOUN
ejpam-3214	89	12	‖f‖	‖f‖	PROPN
ejpam-3214	89	13	=	=	SYM
ejpam-3214	89	14	sup	sup	NOUN
ejpam-3214	89	15	x∈[0,∞	x∈[0,∞	NOUN
ejpam-3214	89	16	)	)	PUNCT
ejpam-3214	90	1	|f(x)|	|f(x)|	NOUN
ejpam-3214	90	2	.	.	PUNCT
ejpam-3214	90	3	further	far	ADV
ejpam-3214	90	4	,	,	PUNCT
ejpam-3214	90	5	peetre	peetre	PROPN
ejpam-3214	90	6	’s	’s	PART
ejpam-3214	90	7	k	k	PROPN
ejpam-3214	90	8	-functional	-functional	PROPN
ejpam-3214	90	9	is	be	AUX
ejpam-3214	90	10	defined	define	VERB
ejpam-3214	90	11	by	by	ADP
ejpam-3214	90	12	k2(f	k2(f	PROPN
ejpam-3214	90	13	,	,	PUNCT
ejpam-3214	90	14	δ	δ	NOUN
ejpam-3214	90	15	)	)	PUNCT
ejpam-3214	90	16	=	=	PROPN
ejpam-3214	90	17	inf	inf	PROPN
ejpam-3214	90	18	g∈w	g∈w	NOUN
ejpam-3214	90	19	2	2	NUM
ejpam-3214	90	20	{	{	PUNCT
ejpam-3214	90	21	‖f	‖f	PRON
ejpam-3214	90	22	−	−	PROPN
ejpam-3214	90	23	g‖+	g‖+	PROPN
ejpam-3214	90	24	δ‖g′′‖	δ‖g′′‖	PROPN
ejpam-3214	90	25	}	}	PUNCT
ejpam-3214	90	26	,	,	PUNCT
ejpam-3214	90	27	here	here	ADV
ejpam-3214	90	28	w	w	PROPN
ejpam-3214	90	29	2	2	NUM
ejpam-3214	90	30	=	=	SYM
ejpam-3214	90	31	{	{	PUNCT
ejpam-3214	90	32	g	g	PROPN
ejpam-3214	90	33	∈	∈	PROPN
ejpam-3214	90	34	cb[0,∞	cb[0,∞	PROPN
ejpam-3214	90	35	)	)	PUNCT
ejpam-3214	90	36	:	:	PUNCT
ejpam-3214	91	1	g′	g′	NOUN
ejpam-3214	91	2	,	,	PUNCT
ejpam-3214	91	3	g′′	g′′	PROPN
ejpam-3214	91	4	∈	∈	PROPN
ejpam-3214	91	5	cb[0,∞	cb[0,∞	PROPN
ejpam-3214	91	6	)	)	PUNCT
ejpam-3214	91	7	}	}	PUNCT
ejpam-3214	91	8	,	,	PUNCT
ejpam-3214	91	9	by	by	ADP
ejpam-3214	91	10	[	[	X
ejpam-3214	91	11	14	14	NUM
ejpam-3214	91	12	]	]	PUNCT
ejpam-3214	91	13	there	there	PRON
ejpam-3214	91	14	exists	exist	VERB
ejpam-3214	91	15	a	a	DET
ejpam-3214	91	16	positive	positive	ADJ
ejpam-3214	91	17	constant	constant	ADJ
ejpam-3214	91	18	c	c	NOUN
ejpam-3214	91	19	>	>	X
ejpam-3214	91	20	0	0	NUM
ejpam-3214	92	1	such	such	ADJ
ejpam-3214	92	2	that	that	SCONJ
ejpam-3214	92	3	k2(f	k2(f	PROPN
ejpam-3214	92	4	,	,	PUNCT
ejpam-3214	92	5	δ	δ	PROPN
ejpam-3214	92	6	)	)	PUNCT
ejpam-3214	92	7	≤	≤	PUNCT
ejpam-3214	92	8	cω2(f	cω2(f	PROPN
ejpam-3214	92	9	,	,	PUNCT
ejpam-3214	92	10	δ	δ	PROPN
ejpam-3214	92	11	1/2	1/2	NUM
ejpam-3214	92	12	)	)	PUNCT
ejpam-3214	92	13	,	,	PUNCT
ejpam-3214	92	14	δ	δ	PROPN
ejpam-3214	92	15	>	>	X
ejpam-3214	92	16	0	0	PROPN
ejpam-3214	92	17	,	,	PUNCT
ejpam-3214	92	18	where	where	SCONJ
ejpam-3214	92	19	ω2(f	ω2(f	NUM
ejpam-3214	92	20	,	,	PUNCT
ejpam-3214	92	21	δ	δ	PROPN
ejpam-3214	92	22	1/2	1/2	NUM
ejpam-3214	92	23	)	)	PUNCT
ejpam-3214	92	24	=	=	SYM
ejpam-3214	92	25	sup	sup	NOUN
ejpam-3214	92	26	0	0	NUM
ejpam-3214	92	27	<	<	X
ejpam-3214	92	28	h	h	X
ejpam-3214	92	29	<	<	X
ejpam-3214	92	30	δ1/2	δ1/2	ADJ
ejpam-3214	92	31	,	,	PUNCT
ejpam-3214	92	32	x	x	PUNCT
ejpam-3214	92	33	∈	∈	PROPN
ejpam-3214	93	1	[	[	X
ejpam-3214	93	2	0,∞)|f(x+	0,∞)|f(x+	X
ejpam-3214	93	3	2h)−	2h)−	ADP
ejpam-3214	93	4	2f(x+	2f(x+	ADJ
ejpam-3214	93	5	h	h	NOUN
ejpam-3214	93	6	)	)	PUNCT
ejpam-3214	94	1	+	+	CCONJ
ejpam-3214	94	2	f(x)|	f(x)|	NOUN
ejpam-3214	94	3	is	be	AUX
ejpam-3214	94	4	the	the	DET
ejpam-3214	94	5	second	second	ADJ
ejpam-3214	94	6	order	order	NOUN
ejpam-3214	94	7	modulus	modulus	NOUN
ejpam-3214	94	8	of	of	ADP
ejpam-3214	94	9	continuity	continuity	NOUN
ejpam-3214	94	10	of	of	ADP
ejpam-3214	94	11	function	function	NOUN
ejpam-3214	94	12	f	f	PROPN
ejpam-3214	94	13	∈	∈	PROPN
ejpam-3214	94	14	cb[0,∞	cb[0,∞	PROPN
ejpam-3214	94	15	)	)	PUNCT
ejpam-3214	94	16	.	.	PUNCT
ejpam-3214	95	1	also	also	ADV
ejpam-3214	95	2	.	.	PUNCT
ejpam-3214	96	1	for	for	ADP
ejpam-3214	96	2	f	f	PROPN
ejpam-3214	96	3	∈	∈	PROPN
ejpam-3214	96	4	cb[0,∞	cb[0,∞	PROPN
ejpam-3214	96	5	)	)	PUNCT
ejpam-3214	96	6	the	the	DET
ejpam-3214	96	7	usual	usual	ADJ
ejpam-3214	96	8	modulus	modulus	NOUN
ejpam-3214	96	9	of	of	ADP
ejpam-3214	96	10	continuity	continuity	NOUN
ejpam-3214	96	11	is	be	AUX
ejpam-3214	96	12	given	give	VERB
ejpam-3214	96	13	by	by	ADP
ejpam-3214	96	14	ω(f	ω(f	ADJ
ejpam-3214	96	15	,	,	PUNCT
ejpam-3214	96	16	δ1/2	δ1/2	ADJ
ejpam-3214	96	17	)	)	PUNCT
ejpam-3214	97	1	=	=	SYM
ejpam-3214	97	2	sup	sup	NOUN
ejpam-3214	97	3	0	0	NUM
ejpam-3214	97	4	<	<	X
ejpam-3214	97	5	h	h	X
ejpam-3214	97	6	<	<	X
ejpam-3214	97	7	δ1/2,x∈[0,∞	δ1/2,x∈[0,∞	X
ejpam-3214	97	8	)	)	PUNCT
ejpam-3214	98	1	|f(x+	|f(x+	NOUN
ejpam-3214	98	2	h)−	h)−	PROPN
ejpam-3214	98	3	f(x)|	f(x)|	NOUN
ejpam-3214	98	4	.	.	PUNCT
ejpam-3214	98	5	theorem	theorem	VERB
ejpam-3214	98	6	3.1	3.1	NUM
ejpam-3214	98	7	.	.	PUNCT
ejpam-3214	99	1	let	let	VERB
ejpam-3214	99	2	f	f	PROPN
ejpam-3214	99	3	∈	∈	PROPN
ejpam-3214	99	4	cb[0,∞	cb[0,∞	PROPN
ejpam-3214	99	5	)	)	PUNCT
ejpam-3214	99	6	,	,	PUNCT
ejpam-3214	99	7	then	then	ADV
ejpam-3214	99	8	for	for	ADP
ejpam-3214	99	9	all	all	DET
ejpam-3214	99	10	n	n	PRON
ejpam-3214	99	11	∈	∈	PROPN
ejpam-3214	99	12	n	n	CCONJ
ejpam-3214	99	13	,	,	PUNCT
ejpam-3214	99	14	there	there	PRON
ejpam-3214	99	15	exists	exist	VERB
ejpam-3214	99	16	an	an	DET
ejpam-3214	99	17	absolute	absolute	ADJ
ejpam-3214	99	18	constant	constant	ADJ
ejpam-3214	99	19	c	c	NOUN
ejpam-3214	99	20	>	>	X
ejpam-3214	99	21	0	0	NUM
ejpam-3214	100	1	such	such	ADJ
ejpam-3214	100	2	that	that	DET
ejpam-3214	100	3	|sα	|sα	NOUN
ejpam-3214	100	4	,	,	PUNCT
ejpam-3214	100	5	βn	βn	X
ejpam-3214	100	6	(	(	PUNCT
ejpam-3214	100	7	f	f	X
ejpam-3214	100	8	;	;	PUNCT
ejpam-3214	100	9	x)−	x)−	PROPN
ejpam-3214	100	10	f(x)|	f(x)|	VERB
ejpam-3214	100	11	≤	≤	NUM
ejpam-3214	100	12	cω2(f	cω2(f	PROPN
ejpam-3214	100	13	,	,	PUNCT
ejpam-3214	100	14	δn(x	δn(x	X
ejpam-3214	100	15	)	)	PUNCT
ejpam-3214	100	16	)	)	PUNCT
ejpam-3214	101	1	+	+	CCONJ
ejpam-3214	101	2	ω(f	ω(f	X
ejpam-3214	101	3	,	,	PUNCT
ejpam-3214	101	4	αn(x	αn(x	NUM
ejpam-3214	101	5	)	)	PUNCT
ejpam-3214	101	6	)	)	PUNCT
ejpam-3214	101	7	,	,	PUNCT
ejpam-3214	101	8	(	(	PUNCT
ejpam-3214	101	9	11	11	NUM
ejpam-3214	101	10	)	)	PUNCT
ejpam-3214	101	11	where	where	SCONJ
ejpam-3214	101	12	a.r	a.r	PROPN
ejpam-3214	101	13	.	.	PROPN
ejpam-3214	101	14	devdhara	devdhara	PROPN
ejpam-3214	101	15	,	,	PUNCT
ejpam-3214	101	16	v.n	v.n	PROPN
ejpam-3214	101	17	.	.	PUNCT
ejpam-3214	101	18	mishra	mishra	PROPN
ejpam-3214	101	19	/	/	SYM
ejpam-3214	101	20	eur	eur	PROPN
ejpam-3214	101	21	.	.	PUNCT
ejpam-3214	102	1	j.	j.	PROPN
ejpam-3214	102	2	pure	pure	PROPN
ejpam-3214	102	3	appl	appl	PROPN
ejpam-3214	102	4	.	.	PROPN
ejpam-3214	102	5	math	math	PROPN
ejpam-3214	102	6	,	,	PUNCT
ejpam-3214	102	7	11	11	NUM
ejpam-3214	102	8	(	(	PUNCT
ejpam-3214	102	9	2	2	NUM
ejpam-3214	102	10	)	)	PUNCT
ejpam-3214	102	11	(	(	PUNCT
ejpam-3214	102	12	2018	2018	NUM
ejpam-3214	102	13	)	)	PUNCT
ejpam-3214	102	14	,	,	PUNCT
ejpam-3214	102	15	400	400	NUM
ejpam-3214	102	16	-	-	SYM
ejpam-3214	102	17	409	409	NUM
ejpam-3214	102	18	404	404	NUM
ejpam-3214	102	19	δn(x	δn(x	X
ejpam-3214	102	20	)	)	PUNCT
ejpam-3214	102	21	=	=	PUNCT
ejpam-3214	103	1	[	[	X
ejpam-3214	103	2	sα	sα	ADP
ejpam-3214	103	3	,	,	PUNCT
ejpam-3214	103	4	βn	βn	INTJ
ejpam-3214	103	5	(	(	PUNCT
ejpam-3214	103	6	(	(	PUNCT
ejpam-3214	103	7	t−	t−	PROPN
ejpam-3214	103	8	x)2;x	x)2;x	NUM
ejpam-3214	103	9	)	)	PUNCT
ejpam-3214	104	1	+	+	CCONJ
ejpam-3214	105	1	(	(	PUNCT
ejpam-3214	105	2	sα	sα	ADV
ejpam-3214	105	3	,	,	PUNCT
ejpam-3214	105	4	βn	βn	INTJ
ejpam-3214	105	5	(	(	PUNCT
ejpam-3214	105	6	(	(	PUNCT
ejpam-3214	105	7	t−	t−	PROPN
ejpam-3214	105	8	x);x))2]1/2	x);x))2]1/2	PROPN
ejpam-3214	105	9	and	and	CCONJ
ejpam-3214	105	10	αn(x	αn(x	NUM
ejpam-3214	105	11	)	)	PUNCT
ejpam-3214	105	12	=	=	SYM
ejpam-3214	106	1	∣∣∣∣bnx+	∣∣∣∣bnx+	PROPN
ejpam-3214	106	2	α	α	NOUN
ejpam-3214	106	3	bn	bn	NOUN
ejpam-3214	106	4	+	+	X
ejpam-3214	106	5	β	β	X
ejpam-3214	106	6	−	−	NOUN
ejpam-3214	106	7	x	x	SYM
ejpam-3214	106	8	∣∣∣∣.	∣∣∣∣.	NOUN
ejpam-3214	106	9	proof	proof	NOUN
ejpam-3214	106	10	.	.	PUNCT
ejpam-3214	107	1	for	for	ADP
ejpam-3214	107	2	0	0	NUM
ejpam-3214	107	3	≤	≤	NUM
ejpam-3214	107	4	x	x	PUNCT
ejpam-3214	107	5	<	<	X
ejpam-3214	107	6	∞	∞	PROPN
ejpam-3214	107	7	,	,	PUNCT
ejpam-3214	107	8	we	we	PRON
ejpam-3214	107	9	consider	consider	VERB
ejpam-3214	107	10	the	the	DET
ejpam-3214	107	11	auxiliary	auxiliary	ADJ
ejpam-3214	107	12	operators	operator	NOUN
ejpam-3214	107	13	ŝα	ŝα	PROPN
ejpam-3214	107	14	,	,	PUNCT
ejpam-3214	107	15	βn	βn	X
ejpam-3214	107	16	(	(	PUNCT
ejpam-3214	107	17	f	f	NOUN
ejpam-3214	107	18	;	;	PUNCT
ejpam-3214	107	19	x	x	X
ejpam-3214	107	20	)	)	PUNCT
ejpam-3214	107	21	defined	define	VERB
ejpam-3214	107	22	by	by	ADP
ejpam-3214	107	23	ŝα	ŝα	PROPN
ejpam-3214	107	24	,	,	PUNCT
ejpam-3214	107	25	βn	βn	X
ejpam-3214	107	26	(	(	PUNCT
ejpam-3214	107	27	f	f	NOUN
ejpam-3214	107	28	;	;	PUNCT
ejpam-3214	107	29	x	x	X
ejpam-3214	107	30	)	)	PUNCT
ejpam-3214	107	31	=	=	SYM
ejpam-3214	107	32	sα	sα	ADJ
ejpam-3214	107	33	,	,	PUNCT
ejpam-3214	107	34	βn	βn	INTJ
ejpam-3214	107	35	(	(	PUNCT
ejpam-3214	107	36	f	f	NOUN
ejpam-3214	107	37	;	;	PUNCT
ejpam-3214	107	38	x	x	X
ejpam-3214	107	39	)	)	PUNCT
ejpam-3214	108	1	+	+	CCONJ
ejpam-3214	108	2	f(x)−	f(x)−	PROPN
ejpam-3214	108	3	f	f	X
ejpam-3214	108	4	(	(	PUNCT
ejpam-3214	108	5	bnx+	bnx+	NOUN
ejpam-3214	108	6	α	α	NOUN
ejpam-3214	108	7	bn	bn	NOUN
ejpam-3214	108	8	+	+	X
ejpam-3214	108	9	β	β	X
ejpam-3214	108	10	)	)	PUNCT
ejpam-3214	108	11	.	.	PUNCT
ejpam-3214	109	1	using	use	VERB
ejpam-3214	109	2	above	above	ADP
ejpam-3214	109	3	operators	operator	NOUN
ejpam-3214	109	4	and	and	CCONJ
ejpam-3214	109	5	(	(	PUNCT
ejpam-3214	109	6	9	9	NUM
ejpam-3214	109	7	)	)	PUNCT
ejpam-3214	109	8	,	,	PUNCT
ejpam-3214	109	9	we	we	PRON
ejpam-3214	109	10	get	get	VERB
ejpam-3214	109	11	ŝα	ŝα	NOUN
ejpam-3214	109	12	,	,	PUNCT
ejpam-3214	109	13	βn	βn	X
ejpam-3214	109	14	(	(	PUNCT
ejpam-3214	109	15	t−	t−	PROPN
ejpam-3214	109	16	x;x	x;x	NUM
ejpam-3214	109	17	)	)	PUNCT
ejpam-3214	110	1	=	=	SYM
ejpam-3214	110	2	sα	sα	ADJ
ejpam-3214	110	3	,	,	PUNCT
ejpam-3214	110	4	βn	βn	INTJ
ejpam-3214	110	5	(	(	PUNCT
ejpam-3214	110	6	t−	t−	PROPN
ejpam-3214	110	7	x;x)−	x;x)−	PROPN
ejpam-3214	110	8	(	(	PUNCT
ejpam-3214	110	9	bnx+	bnx+	NOUN
ejpam-3214	110	10	α	α	NOUN
ejpam-3214	110	11	bn	bn	NOUN
ejpam-3214	110	12	+	+	X
ejpam-3214	110	13	β	β	X
ejpam-3214	110	14	−	−	NOUN
ejpam-3214	110	15	x	x	SYM
ejpam-3214	110	16	)	)	PUNCT
ejpam-3214	110	17	=	=	SYM
ejpam-3214	110	18	0	0	X
ejpam-3214	110	19	.	.	PUNCT
ejpam-3214	111	1	now	now	ADV
ejpam-3214	111	2	,	,	PUNCT
ejpam-3214	111	3	0	0	NUM
ejpam-3214	111	4	≤	≤	NUM
ejpam-3214	111	5	x	x	PUNCT
ejpam-3214	112	1	<	<	X
ejpam-3214	112	2	∞	∞	NUM
ejpam-3214	112	3	and	and	CCONJ
ejpam-3214	112	4	g	g	NOUN
ejpam-3214	112	5	∈w	∈w	NUM
ejpam-3214	112	6	2	2	NUM
ejpam-3214	112	7	.	.	PUNCT
ejpam-3214	112	8	applying	apply	VERB
ejpam-3214	112	9	taylor	taylor	PROPN
ejpam-3214	112	10	’s	’s	PART
ejpam-3214	112	11	formula	formula	NOUN
ejpam-3214	112	12	,	,	PUNCT
ejpam-3214	112	13	we	we	PRON
ejpam-3214	112	14	get	get	VERB
ejpam-3214	112	15	g(t	g(t	PROPN
ejpam-3214	112	16	)	)	PUNCT
ejpam-3214	113	1	=	=	SYM
ejpam-3214	113	2	g(x	g(x	NOUN
ejpam-3214	113	3	)	)	PUNCT
ejpam-3214	114	1	+	+	CCONJ
ejpam-3214	114	2	(	(	PUNCT
ejpam-3214	114	3	t−	t−	PROPN
ejpam-3214	114	4	x)g′(x	x)g′(x	PROPN
ejpam-3214	114	5	)	)	PUNCT
ejpam-3214	115	1	+	+	NUM
ejpam-3214	115	2	∫	∫	PROPN
ejpam-3214	115	3	t	t	NOUN
ejpam-3214	115	4	x	x	X
ejpam-3214	115	5	(	(	PUNCT
ejpam-3214	115	6	t−	t−	PROPN
ejpam-3214	115	7	u)g′′(u)du	u)g′′(u)du	PROPN
ejpam-3214	115	8	.	.	PUNCT
ejpam-3214	116	1	applying	apply	VERB
ejpam-3214	116	2	ŝα	ŝα	NUM
ejpam-3214	116	3	,	,	PUNCT
ejpam-3214	116	4	βn	βn	NOUN
ejpam-3214	116	5	on	on	ADP
ejpam-3214	116	6	the	the	DET
ejpam-3214	116	7	both	both	DET
ejpam-3214	116	8	sides	side	NOUN
ejpam-3214	116	9	of	of	ADP
ejpam-3214	116	10	the	the	DET
ejpam-3214	116	11	above	above	ADJ
ejpam-3214	116	12	equation	equation	NOUN
ejpam-3214	116	13	,	,	PUNCT
ejpam-3214	116	14	we	we	PRON
ejpam-3214	116	15	obtain	obtain	VERB
ejpam-3214	116	16	ŝα	ŝα	NOUN
ejpam-3214	116	17	,	,	PUNCT
ejpam-3214	116	18	βn	βn	X
ejpam-3214	116	19	(	(	PUNCT
ejpam-3214	116	20	(	(	PUNCT
ejpam-3214	116	21	g;x)−	g;x)−	PROPN
ejpam-3214	116	22	g(x	g(x	PROPN
ejpam-3214	116	23	)	)	PUNCT
ejpam-3214	116	24	)	)	PUNCT
ejpam-3214	117	1	=	=	SYM
ejpam-3214	117	2	ŝα	ŝα	X
ejpam-3214	117	3	,	,	PUNCT
ejpam-3214	117	4	βn	βn	X
ejpam-3214	117	5	(	(	PUNCT
ejpam-3214	117	6	(	(	PUNCT
ejpam-3214	117	7	t−	t−	PROPN
ejpam-3214	117	8	x)g′(x);x	x)g′(x);x	PROPN
ejpam-3214	117	9	)	)	PUNCT
ejpam-3214	118	1	+	+	CCONJ
ejpam-3214	118	2	ŝα	ŝα	X
ejpam-3214	118	3	,	,	PUNCT
ejpam-3214	118	4	βn	βn	X
ejpam-3214	118	5	(	(	PUNCT
ejpam-3214	118	6	∫	∫	PROPN
ejpam-3214	118	7	t	t	PROPN
ejpam-3214	118	8	x	x	X
ejpam-3214	118	9	(	(	PUNCT
ejpam-3214	118	10	t−	t−	PROPN
ejpam-3214	118	11	u)g′′(u)du;x	u)g′′(u)du;x	PROPN
ejpam-3214	118	12	)	)	PUNCT
ejpam-3214	119	1	=	=	SYM
ejpam-3214	119	2	g′(x)ŝα	g′(x)ŝα	NOUN
ejpam-3214	119	3	,	,	PUNCT
ejpam-3214	119	4	βn	βn	X
ejpam-3214	119	5	(	(	PUNCT
ejpam-3214	119	6	(	(	PUNCT
ejpam-3214	119	7	t−	t−	PROPN
ejpam-3214	119	8	x);x	x);x	PROPN
ejpam-3214	119	9	)	)	PUNCT
ejpam-3214	120	1	+	+	CCONJ
ejpam-3214	120	2	sα	sα	ADJ
ejpam-3214	120	3	,	,	PUNCT
ejpam-3214	120	4	βn	βn	X
ejpam-3214	120	5	(	(	PUNCT
ejpam-3214	120	6	∫	∫	PROPN
ejpam-3214	120	7	t	t	PROPN
ejpam-3214	120	8	x	x	X
ejpam-3214	120	9	(	(	PUNCT
ejpam-3214	120	10	t−	t−	PROPN
ejpam-3214	120	11	u)g′′(u)du;x	u)g′′(u)du;x	PROPN
ejpam-3214	120	12	)	)	PUNCT
ejpam-3214	121	1	−	−	NUM
ejpam-3214	121	2	∫	∫	PROPN
ejpam-3214	121	3	bnx+α	bnx+α	PROPN
ejpam-3214	121	4	bn+β	bn+β	PROPN
ejpam-3214	121	5	x	x	SYM
ejpam-3214	121	6	(	(	PUNCT
ejpam-3214	121	7	bnx+	bnx+	NOUN
ejpam-3214	121	8	α	α	NOUN
ejpam-3214	121	9	bn	bn	NOUN
ejpam-3214	121	10	+	+	X
ejpam-3214	121	11	β	β	NUM
ejpam-3214	121	12	−	−	NOUN
ejpam-3214	121	13	u	u	NOUN
ejpam-3214	121	14	)	)	PUNCT
ejpam-3214	121	15	g′′(u)du	g′′(u)du	PROPN
ejpam-3214	122	1	=	=	SYM
ejpam-3214	122	2	sα	sα	ADJ
ejpam-3214	122	3	,	,	PUNCT
ejpam-3214	122	4	βn	βn	INTJ
ejpam-3214	122	5	(	(	PUNCT
ejpam-3214	122	6	∫	∫	PROPN
ejpam-3214	122	7	t	t	PROPN
ejpam-3214	122	8	x	x	X
ejpam-3214	122	9	(	(	PUNCT
ejpam-3214	122	10	t−	t−	PROPN
ejpam-3214	122	11	u)g′′(u)du;x	u)g′′(u)du;x	PROPN
ejpam-3214	122	12	)	)	PUNCT
ejpam-3214	123	1	−	−	NUM
ejpam-3214	123	2	∫	∫	PROPN
ejpam-3214	123	3	bnx+α	bnx+α	PROPN
ejpam-3214	123	4	bn+β	bn+β	PROPN
ejpam-3214	123	5	x	x	SYM
ejpam-3214	123	6	(	(	PUNCT
ejpam-3214	123	7	bnx+	bnx+	NOUN
ejpam-3214	123	8	α	α	NOUN
ejpam-3214	123	9	bn	bn	NOUN
ejpam-3214	123	10	+	+	X
ejpam-3214	123	11	β	β	NUM
ejpam-3214	123	12	−	−	NOUN
ejpam-3214	123	13	u	u	NOUN
ejpam-3214	123	14	)	)	PUNCT
ejpam-3214	123	15	g′′(u)du	g′′(u)du	PROPN
ejpam-3214	123	16	.	.	PUNCT
ejpam-3214	124	1	also	also	ADV
ejpam-3214	124	2	,	,	PUNCT
ejpam-3214	124	3	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3214	124	4	∫	∫	PROPN
ejpam-3214	124	5	t	t	PROPN
ejpam-3214	124	6	x	x	X
ejpam-3214	124	7	(	(	PUNCT
ejpam-3214	124	8	t−	t−	PRON
ejpam-3214	124	9	u)g′′(u)du	u)g′′(u)du	PROPN
ejpam-3214	124	10	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3214	124	11	≤	≤	NUM
ejpam-3214	124	12	∫	∫	PROPN
ejpam-3214	124	13	t	t	PROPN
ejpam-3214	124	14	x	x	PROPN
ejpam-3214	124	15	|t−	|t−	PROPN
ejpam-3214	124	16	u||g′′(u)|du	u||g′′(u)|du	VERB
ejpam-3214	124	17	≤	≤	NUM
ejpam-3214	124	18	‖g′′‖	‖g′′‖	NOUN
ejpam-3214	124	19	∫	∫	PROPN
ejpam-3214	124	20	t	t	PROPN
ejpam-3214	124	21	x	x	PROPN
ejpam-3214	124	22	|t−	|t−	PROPN
ejpam-3214	124	23	u|du	u|du	ADJ
ejpam-3214	124	24	≤	≤	NOUN
ejpam-3214	124	25	(	(	PUNCT
ejpam-3214	124	26	t−	t−	PROPN
ejpam-3214	124	27	x)2‖g′′‖.	x)2‖g′′‖.	PROPN
ejpam-3214	124	28	and	and	CCONJ
ejpam-3214	124	29	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3214	124	30	∫	∫	PROPN
ejpam-3214	124	31	bnx+α	bnx+α	PROPN
ejpam-3214	124	32	bn+β	bn+β	PROPN
ejpam-3214	124	33	x	x	SYM
ejpam-3214	124	34	(	(	PUNCT
ejpam-3214	124	35	bnx+	bnx+	NOUN
ejpam-3214	124	36	α	α	NOUN
ejpam-3214	124	37	bn	bn	NOUN
ejpam-3214	124	38	+	+	X
ejpam-3214	124	39	β	β	NUM
ejpam-3214	124	40	−	−	NOUN
ejpam-3214	124	41	u	u	NOUN
ejpam-3214	124	42	)	)	PUNCT
ejpam-3214	124	43	g′′(u)du	g′′(u)du	PROPN
ejpam-3214	124	44	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3214	124	45	≤	≤	NOUN
ejpam-3214	124	46	(	(	PUNCT
ejpam-3214	124	47	bnx+	bnx+	NOUN
ejpam-3214	124	48	α	α	NOUN
ejpam-3214	124	49	bn	bn	NOUN
ejpam-3214	124	50	+	+	X
ejpam-3214	124	51	β	β	X
ejpam-3214	124	52	−	−	NOUN
ejpam-3214	124	53	x	x	SYM
ejpam-3214	124	54	)	)	PUNCT
ejpam-3214	124	55	2	2	NUM
ejpam-3214	124	56	‖g′′‖.	‖g′′‖.	PROPN
ejpam-3214	124	57	therefore	therefore	ADV
ejpam-3214	124	58	,	,	PUNCT
ejpam-3214	124	59	we	we	PRON
ejpam-3214	124	60	can	can	AUX
ejpam-3214	124	61	conclude	conclude	VERB
ejpam-3214	124	62	that	that	SCONJ
ejpam-3214	124	63	|ŝα	|ŝα	PROPN
ejpam-3214	124	64	,	,	PUNCT
ejpam-3214	124	65	βn	βn	X
ejpam-3214	124	66	(	(	PUNCT
ejpam-3214	124	67	(	(	PUNCT
ejpam-3214	124	68	g;x)−	g;x)−	PROPN
ejpam-3214	124	69	g(x))|	g(x))|	PROPN
ejpam-3214	124	70	=	=	SYM
ejpam-3214	124	71	∣∣∣∣sα	∣∣∣∣sα	NOUN
ejpam-3214	124	72	,	,	PUNCT
ejpam-3214	124	73	βn	βn	X
ejpam-3214	124	74	(	(	PUNCT
ejpam-3214	124	75	∫	∫	PROPN
ejpam-3214	124	76	t	t	PROPN
ejpam-3214	124	77	x	x	X
ejpam-3214	124	78	(	(	PUNCT
ejpam-3214	124	79	t−	t−	PROPN
ejpam-3214	124	80	u)g′′(u)du;x	u)g′′(u)du;x	PROPN
ejpam-3214	124	81	)	)	PUNCT
ejpam-3214	124	82	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3214	124	83	a.r	a.r	PROPN
ejpam-3214	124	84	.	.	PROPN
ejpam-3214	124	85	devdhara	devdhara	PROPN
ejpam-3214	124	86	,	,	PUNCT
ejpam-3214	124	87	v.n	v.n	PROPN
ejpam-3214	124	88	.	.	PUNCT
ejpam-3214	124	89	mishra	mishra	PROPN
ejpam-3214	124	90	/	/	SYM
ejpam-3214	124	91	eur	eur	PROPN
ejpam-3214	124	92	.	.	PUNCT
ejpam-3214	125	1	j.	j.	PROPN
ejpam-3214	125	2	pure	pure	PROPN
ejpam-3214	125	3	appl	appl	PROPN
ejpam-3214	125	4	.	.	PROPN
ejpam-3214	125	5	math	math	PROPN
ejpam-3214	125	6	,	,	PUNCT
ejpam-3214	125	7	11	11	NUM
ejpam-3214	125	8	(	(	PUNCT
ejpam-3214	125	9	2	2	NUM
ejpam-3214	125	10	)	)	PUNCT
ejpam-3214	125	11	(	(	PUNCT
ejpam-3214	125	12	2018	2018	NUM
ejpam-3214	125	13	)	)	PUNCT
ejpam-3214	125	14	,	,	PUNCT
ejpam-3214	125	15	400	400	NUM
ejpam-3214	125	16	-	-	SYM
ejpam-3214	125	17	409	409	NUM
ejpam-3214	125	18	405	405	NUM
ejpam-3214	125	19	+	+	CCONJ
ejpam-3214	125	20	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3214	125	21	∫	∫	PROPN
ejpam-3214	125	22	bnx+α	bnx+α	PROPN
ejpam-3214	125	23	bn+β	bn+β	PROPN
ejpam-3214	125	24	x	x	SYM
ejpam-3214	125	25	(	(	PUNCT
ejpam-3214	125	26	bnx+	bnx+	NOUN
ejpam-3214	125	27	α	α	NOUN
ejpam-3214	125	28	bn	bn	NOUN
ejpam-3214	125	29	+	+	X
ejpam-3214	125	30	β	β	NUM
ejpam-3214	125	31	−	−	NOUN
ejpam-3214	125	32	u	u	NOUN
ejpam-3214	125	33	)	)	PUNCT
ejpam-3214	125	34	g′′(u)du	g′′(u)du	PROPN
ejpam-3214	125	35	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3214	125	36	≤	≤	PROPN
ejpam-3214	125	37	‖g′′‖sα	‖g′′‖sα	PROPN
ejpam-3214	125	38	,	,	PUNCT
ejpam-3214	125	39	βn	βn	X
ejpam-3214	125	40	(	(	PUNCT
ejpam-3214	125	41	(	(	PUNCT
ejpam-3214	125	42	t−	t−	PROPN
ejpam-3214	125	43	x)2;x	x)2;x	NUM
ejpam-3214	125	44	)	)	PUNCT
ejpam-3214	126	1	+	+	CCONJ
ejpam-3214	126	2	(	(	PUNCT
ejpam-3214	126	3	bnx+	bnx+	NOUN
ejpam-3214	126	4	α	α	NOUN
ejpam-3214	126	5	bn	bn	NOUN
ejpam-3214	126	6	+	+	X
ejpam-3214	126	7	β	β	X
ejpam-3214	126	8	−	−	NOUN
ejpam-3214	126	9	x	x	SYM
ejpam-3214	126	10	)	)	PUNCT
ejpam-3214	126	11	2	2	NUM
ejpam-3214	126	12	‖g′′‖	‖g′′‖	NOUN
ejpam-3214	126	13	=	=	PUNCT
ejpam-3214	126	14	δ2n‖g′′‖.	δ2n‖g′′‖.	ADJ
ejpam-3214	126	15	also	also	ADV
ejpam-3214	126	16	,	,	PUNCT
ejpam-3214	126	17	we	we	PRON
ejpam-3214	126	18	get	get	VERB
ejpam-3214	126	19	|ŝα	|ŝα	NOUN
ejpam-3214	126	20	,	,	PUNCT
ejpam-3214	126	21	βn	βn	X
ejpam-3214	126	22	(	(	PUNCT
ejpam-3214	126	23	(	(	PUNCT
ejpam-3214	126	24	g;x)|	g;x)|	NOUN
ejpam-3214	126	25	≤	≤	NOUN
ejpam-3214	126	26	|sα	|sα	ADP
ejpam-3214	126	27	,	,	PUNCT
ejpam-3214	126	28	βn	βn	X
ejpam-3214	126	29	(	(	PUNCT
ejpam-3214	126	30	f	f	PROPN
ejpam-3214	126	31	;	;	PUNCT
ejpam-3214	126	32	x)|+	x)|+	PROPN
ejpam-3214	127	1	2‖f‖	2‖f‖	PROPN
ejpam-3214	127	2	≤	≤	NUM
ejpam-3214	127	3	3‖f‖.	3‖f‖.	NOUN
ejpam-3214	127	4	therefore	therefore	ADV
ejpam-3214	127	5	,	,	PUNCT
ejpam-3214	127	6	|sα	|sα	ADV
ejpam-3214	127	7	,	,	PUNCT
ejpam-3214	127	8	βn	βn	X
ejpam-3214	127	9	(	(	PUNCT
ejpam-3214	127	10	f	f	X
ejpam-3214	127	11	;	;	PUNCT
ejpam-3214	127	12	x)−	x)−	PROPN
ejpam-3214	127	13	f(x)|	f(x)|	VERB
ejpam-3214	127	14	≤	≤	ADJ
ejpam-3214	127	15	|ŝα	|ŝα	X
ejpam-3214	127	16	,	,	PUNCT
ejpam-3214	127	17	βn	βn	X
ejpam-3214	127	18	(	(	PUNCT
ejpam-3214	127	19	(	(	PUNCT
ejpam-3214	127	20	f	f	X
ejpam-3214	127	21	−	−	PROPN
ejpam-3214	127	22	g);x)−	g);x)−	PROPN
ejpam-3214	127	23	(	(	PUNCT
ejpam-3214	127	24	f	f	PROPN
ejpam-3214	127	25	−	−	PROPN
ejpam-3214	127	26	g)(x)|+	g)(x)|+	NOUN
ejpam-3214	127	27	|ŝα	|ŝα	X
ejpam-3214	127	28	,	,	PUNCT
ejpam-3214	127	29	βn	βn	X
ejpam-3214	127	30	(	(	PUNCT
ejpam-3214	127	31	(	(	PUNCT
ejpam-3214	127	32	g;x)−	g;x)−	PROPN
ejpam-3214	127	33	g(x))|	g(x))|	PROPN
ejpam-3214	127	34	+	+	CCONJ
ejpam-3214	127	35	∣∣∣∣f(x)−	∣∣∣∣f(x)−	PROPN
ejpam-3214	127	36	f	f	PROPN
ejpam-3214	127	37	(	(	PUNCT
ejpam-3214	127	38	bnx+	bnx+	NOUN
ejpam-3214	127	39	α	α	NOUN
ejpam-3214	127	40	bn	bn	NOUN
ejpam-3214	127	41	+	+	CCONJ
ejpam-3214	127	42	β	β	X
ejpam-3214	127	43	)	)	PUNCT
ejpam-3214	127	44	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3214	127	45	≤	≤	NOUN
ejpam-3214	127	46	4‖f	4‖f	NUM
ejpam-3214	127	47	−	−	NOUN
ejpam-3214	127	48	g‖+	g‖+	NOUN
ejpam-3214	127	49	‖g′′‖δ2n(x	‖g′′‖δ2n(x	PUNCT
ejpam-3214	127	50	)	)	PUNCT
ejpam-3214	128	1	+	+	NUM
ejpam-3214	128	2	ω	ω	NUM
ejpam-3214	128	3	(	(	PUNCT
ejpam-3214	128	4	f	f	NOUN
ejpam-3214	128	5	:	:	PUNCT
ejpam-3214	128	6	∣∣∣∣bnx+	∣∣∣∣bnx+	PROPN
ejpam-3214	128	7	α	α	NOUN
ejpam-3214	128	8	bn	bn	NOUN
ejpam-3214	128	9	+	+	X
ejpam-3214	128	10	β	β	X
ejpam-3214	128	11	−	−	NOUN
ejpam-3214	128	12	x	x	SYM
ejpam-3214	128	13	∣∣∣∣	∣∣∣∣	PROPN
ejpam-3214	128	14	)	)	PUNCT
ejpam-3214	128	15	.	.	PUNCT
ejpam-3214	129	1	hence	hence	ADV
ejpam-3214	129	2	,	,	PUNCT
ejpam-3214	129	3	taking	take	VERB
ejpam-3214	129	4	the	the	DET
ejpam-3214	129	5	infimum	infimum	NOUN
ejpam-3214	129	6	on	on	ADP
ejpam-3214	129	7	the	the	DET
ejpam-3214	129	8	right	right	ADJ
ejpam-3214	129	9	hand	hand	NOUN
ejpam-3214	129	10	side	side	NOUN
ejpam-3214	129	11	over	over	ADP
ejpam-3214	129	12	all	all	DET
ejpam-3214	129	13	g	g	NOUN
ejpam-3214	129	14	∈w	∈w	NOUN
ejpam-3214	129	15	2	2	NUM
ejpam-3214	129	16	,	,	PUNCT
ejpam-3214	129	17	we	we	PRON
ejpam-3214	129	18	obtain	obtain	VERB
ejpam-3214	129	19	|sα	|sα	ADP
ejpam-3214	129	20	,	,	PUNCT
ejpam-3214	129	21	βn	βn	X
ejpam-3214	129	22	(	(	PUNCT
ejpam-3214	129	23	f	f	X
ejpam-3214	129	24	;	;	PUNCT
ejpam-3214	129	25	x)−	x)−	PROPN
ejpam-3214	129	26	f(x)|	f(x)|	VERB
ejpam-3214	129	27	≤	≤	NUM
ejpam-3214	130	1	4k2(f	4k2(f	PROPN
ejpam-3214	130	2	,	,	PUNCT
ejpam-3214	130	3	δ	δ	PROPN
ejpam-3214	130	4	2	2	NUM
ejpam-3214	130	5	n(x	n(x	PROPN
ejpam-3214	130	6	)	)	PUNCT
ejpam-3214	130	7	)	)	PUNCT
ejpam-3214	131	1	+	+	CCONJ
ejpam-3214	131	2	ω(f	ω(f	X
ejpam-3214	131	3	,	,	PUNCT
ejpam-3214	131	4	αn(x	αn(x	NUM
ejpam-3214	131	5	)	)	PUNCT
ejpam-3214	131	6	)	)	PUNCT
ejpam-3214	131	7	.	.	PUNCT
ejpam-3214	132	1	by	by	ADP
ejpam-3214	132	2	using	use	VERB
ejpam-3214	132	3	property	property	NOUN
ejpam-3214	132	4	of	of	ADP
ejpam-3214	132	5	k	k	PROPN
ejpam-3214	132	6	-functional	-functional	PROPN
ejpam-3214	132	7	,	,	PUNCT
ejpam-3214	132	8	we	we	PRON
ejpam-3214	132	9	have	have	VERB
ejpam-3214	132	10	|sα	|sα	NUM
ejpam-3214	132	11	,	,	PUNCT
ejpam-3214	132	12	βn	βn	X
ejpam-3214	132	13	(	(	PUNCT
ejpam-3214	132	14	f	f	X
ejpam-3214	132	15	;	;	PUNCT
ejpam-3214	132	16	x)−	x)−	PROPN
ejpam-3214	132	17	f(x)|	f(x)|	VERB
ejpam-3214	132	18	≤	≤	NUM
ejpam-3214	132	19	cω2(f	cω2(f	PROPN
ejpam-3214	132	20	,	,	PUNCT
ejpam-3214	132	21	δn(x	δn(x	X
ejpam-3214	132	22	)	)	PUNCT
ejpam-3214	132	23	)	)	PUNCT
ejpam-3214	133	1	+	+	CCONJ
ejpam-3214	133	2	ω(f	ω(f	X
ejpam-3214	133	3	,	,	PUNCT
ejpam-3214	133	4	αn(x	αn(x	NUM
ejpam-3214	133	5	)	)	PUNCT
ejpam-3214	133	6	)	)	PUNCT
ejpam-3214	133	7	.	.	PUNCT
ejpam-3214	134	1	hence	hence	ADV
ejpam-3214	134	2	the	the	DET
ejpam-3214	134	3	result	result	NOUN
ejpam-3214	134	4	is	be	AUX
ejpam-3214	134	5	obtained	obtain	VERB
ejpam-3214	134	6	.	.	PUNCT
ejpam-3214	135	1	now	now	ADV
ejpam-3214	135	2	,	,	PUNCT
ejpam-3214	135	3	we	we	PRON
ejpam-3214	135	4	consider	consider	VERB
ejpam-3214	135	5	the	the	DET
ejpam-3214	135	6	following	follow	VERB
ejpam-3214	135	7	class	class	NOUN
ejpam-3214	135	8	of	of	ADP
ejpam-3214	135	9	functions	function	NOUN
ejpam-3214	135	10	:	:	PUNCT
ejpam-3214	135	11	hx2	hx2	PROPN
ejpam-3214	136	1	[	[	X
ejpam-3214	136	2	0,∞	0,∞	NUM
ejpam-3214	136	3	)	)	PUNCT
ejpam-3214	137	1	=	=	PRON
ejpam-3214	137	2	{	{	PUNCT
ejpam-3214	137	3	f	f	NOUN
ejpam-3214	137	4	:	:	PUNCT
ejpam-3214	138	1	[	[	X
ejpam-3214	138	2	0,∞)→	0,∞)→	NOUN
ejpam-3214	138	3	r	r	NOUN
ejpam-3214	138	4	:	:	PUNCT
ejpam-3214	138	5	|f(x)|	|f(x)|	PROPN
ejpam-3214	138	6	≤mf	≤mf	NOUN
ejpam-3214	138	7	(	(	PUNCT
ejpam-3214	138	8	1	1	NUM
ejpam-3214	138	9	+	+	NUM
ejpam-3214	138	10	x2	x2	NOUN
ejpam-3214	138	11	)	)	PUNCT
ejpam-3214	138	12	here	here	ADV
ejpam-3214	138	13	mf	mf	NOUN
ejpam-3214	138	14	is	be	AUX
ejpam-3214	138	15	constant	constant	ADJ
ejpam-3214	138	16	depending	depend	VERB
ejpam-3214	138	17	on	on	ADP
ejpam-3214	138	18	the	the	DET
ejpam-3214	138	19	function	function	NOUN
ejpam-3214	138	20	f	f	NOUN
ejpam-3214	138	21	}	}	PUNCT
ejpam-3214	138	22	,	,	PUNCT
ejpam-3214	138	23	cx2	cx2	NOUN
ejpam-3214	138	24	[	[	X
ejpam-3214	138	25	0,∞	0,∞	NOUN
ejpam-3214	138	26	)	)	PUNCT
ejpam-3214	138	27	=	=	PRON
ejpam-3214	139	1	{	{	PUNCT
ejpam-3214	139	2	f	f	PROPN
ejpam-3214	139	3	∈	∈	PROPN
ejpam-3214	139	4	hx2	hx2	NOUN
ejpam-3214	140	1	[	[	X
ejpam-3214	140	2	0,∞	0,∞	NUM
ejpam-3214	140	3	)	)	PUNCT
ejpam-3214	140	4	:	:	PUNCT
ejpam-3214	141	1	f	f	PROPN
ejpam-3214	141	2	is	be	AUX
ejpam-3214	141	3	continuous	continuous	ADJ
ejpam-3214	141	4	}	}	PUNCT
ejpam-3214	141	5	,	,	PUNCT
ejpam-3214	141	6	c∗x2	c∗x2	PROPN
ejpam-3214	142	1	[	[	X
ejpam-3214	142	2	0,∞	0,∞	NOUN
ejpam-3214	142	3	)	)	PUNCT
ejpam-3214	142	4	=	=	PRON
ejpam-3214	143	1	{	{	PUNCT
ejpam-3214	143	2	f	f	PROPN
ejpam-3214	143	3	∈	∈	PROPN
ejpam-3214	143	4	cx2	cx2	NOUN
ejpam-3214	144	1	[	[	X
ejpam-3214	144	2	0,∞	0,∞	NOUN
ejpam-3214	144	3	)	)	PUNCT
ejpam-3214	144	4	:	:	PUNCT
ejpam-3214	145	1	lim|x|→∞	lim|x|→∞	ADJ
ejpam-3214	145	2	f(x	f(x	PROPN
ejpam-3214	145	3	)	)	PUNCT
ejpam-3214	145	4	(	(	PUNCT
ejpam-3214	145	5	1+x2	1+x2	NOUN
ejpam-3214	145	6	)	)	PUNCT
ejpam-3214	145	7	is	be	AUX
ejpam-3214	145	8	finite	finite	ADJ
ejpam-3214	145	9	}	}	PUNCT
ejpam-3214	145	10	.	.	PUNCT
ejpam-3214	146	1	the	the	DET
ejpam-3214	146	2	norm	norm	NOUN
ejpam-3214	146	3	on	on	ADP
ejpam-3214	146	4	the	the	DET
ejpam-3214	146	5	space	space	NOUN
ejpam-3214	146	6	c∗x2	c∗x2	PROPN
ejpam-3214	146	7	[	[	X
ejpam-3214	146	8	0,∞)∗	0,∞)∗	NUM
ejpam-3214	146	9	is	be	AUX
ejpam-3214	146	10	defined	define	VERB
ejpam-3214	146	11	by	by	ADP
ejpam-3214	146	12	‖f‖x2	‖f‖x2	PROPN
ejpam-3214	146	13	=	=	SYM
ejpam-3214	146	14	supx∈[0,∞	supx∈[0,∞	PROPN
ejpam-3214	146	15	)	)	PUNCT
ejpam-3214	146	16	|	|	ADV
ejpam-3214	146	17	f(x	f(x	PROPN
ejpam-3214	146	18	)	)	PUNCT
ejpam-3214	146	19	1+x2	1+x2	NUM
ejpam-3214	146	20	|	|	NOUN
ejpam-3214	146	21	.	.	PUNCT
ejpam-3214	147	1	we	we	PRON
ejpam-3214	147	2	denote	denote	VERB
ejpam-3214	147	3	the	the	DET
ejpam-3214	147	4	modulus	modulus	NOUN
ejpam-3214	147	5	of	of	ADP
ejpam-3214	147	6	continuity	continuity	NOUN
ejpam-3214	147	7	of	of	ADP
ejpam-3214	147	8	f	f	PROPN
ejpam-3214	147	9	on	on	ADP
ejpam-3214	147	10	closed	closed	ADJ
ejpam-3214	147	11	interval	interval	NOUN
ejpam-3214	147	12	[	[	X
ejpam-3214	147	13	0	0	NUM
ejpam-3214	147	14	,	,	PUNCT
ejpam-3214	147	15	a	a	PRON
ejpam-3214	147	16	]	]	X
ejpam-3214	147	17	,	,	PUNCT
ejpam-3214	147	18	a	a	DET
ejpam-3214	147	19	>	>	X
ejpam-3214	147	20	0	0	NUM
ejpam-3214	147	21	by	by	ADP
ejpam-3214	147	22	:	:	PUNCT
ejpam-3214	147	23	ωa(f	ωa(f	NUM
ejpam-3214	147	24	;	;	PUNCT
ejpam-3214	147	25	δ	δ	X
ejpam-3214	147	26	)	)	PUNCT
ejpam-3214	147	27	=	=	SYM
ejpam-3214	148	1	sup|t−x|≤δ	sup|t−x|≤δ	ADJ
ejpam-3214	148	2	,	,	PUNCT
ejpam-3214	148	3	x	x	NOUN
ejpam-3214	148	4	,	,	PUNCT
ejpam-3214	148	5	t∈[0,a	t∈[0,a	X
ejpam-3214	148	6	]	]	X
ejpam-3214	148	7	|f(t)−	|f(t)−	PROPN
ejpam-3214	148	8	f(x)|	f(x)|	VERB
ejpam-3214	148	9	.	.	PUNCT
ejpam-3214	148	10	theorem	theorem	VERB
ejpam-3214	148	11	3.2	3.2	NUM
ejpam-3214	148	12	.	.	PUNCT
ejpam-3214	149	1	for	for	ADP
ejpam-3214	149	2	f	f	PROPN
ejpam-3214	149	3	∈	∈	PROPN
ejpam-3214	149	4	cx2	cx2	NOUN
ejpam-3214	150	1	[	[	X
ejpam-3214	150	2	0,∞);ωa(f	0,∞);ωa(f	X
ejpam-3214	150	3	;	;	PUNCT
ejpam-3214	150	4	δ	δ	PROPN
ejpam-3214	150	5	)	)	PUNCT
ejpam-3214	150	6	be	be	VERB
ejpam-3214	150	7	its	its	PRON
ejpam-3214	150	8	modulus	modulus	NOUN
ejpam-3214	150	9	of	of	ADP
ejpam-3214	150	10	continuity	continuity	NOUN
ejpam-3214	150	11	on	on	ADP
ejpam-3214	150	12	the	the	DET
ejpam-3214	150	13	interval	interval	NOUN
ejpam-3214	150	14	[	[	X
ejpam-3214	150	15	0	0	NUM
ejpam-3214	150	16	,	,	PUNCT
ejpam-3214	150	17	a+	a+	X
ejpam-3214	151	1	1	1	X
ejpam-3214	151	2	]	]	PUNCT
ejpam-3214	151	3	⊂	⊂	PROPN
ejpam-3214	152	1	[	[	X
ejpam-3214	152	2	0,∞	0,∞	NOUN
ejpam-3214	152	3	)	)	PUNCT
ejpam-3214	152	4	,	,	PUNCT
ejpam-3214	152	5	a	a	DET
ejpam-3214	152	6	>	>	X
ejpam-3214	152	7	0	0	NUM
ejpam-3214	152	8	,	,	PUNCT
ejpam-3214	152	9	we	we	PRON
ejpam-3214	152	10	have	have	VERB
ejpam-3214	152	11	‖sα	‖sα	VERB
ejpam-3214	152	12	,	,	PUNCT
ejpam-3214	152	13	βn	βn	X
ejpam-3214	152	14	(	(	PUNCT
ejpam-3214	152	15	f	f	X
ejpam-3214	152	16	;	;	PUNCT
ejpam-3214	152	17	x)−	x)−	PROPN
ejpam-3214	152	18	f(x)‖	f(x)‖	PROPN
ejpam-3214	152	19	≤	≤	PROPN
ejpam-3214	152	20	6mf	6mf	NOUN
ejpam-3214	152	21	(	(	PUNCT
ejpam-3214	152	22	1	1	NUM
ejpam-3214	152	23	+	+	CCONJ
ejpam-3214	152	24	a2)λn	a2)λn	NOUN
ejpam-3214	152	25	+	+	CCONJ
ejpam-3214	152	26	2ωa+1(f	2ωa+1(f	NUM
ejpam-3214	152	27	;	;	PUNCT
ejpam-3214	152	28	√	√	NUM
ejpam-3214	152	29	λn	λn	NOUN
ejpam-3214	152	30	)	)	PUNCT
ejpam-3214	152	31	,	,	PUNCT
ejpam-3214	152	32	here	here	ADV
ejpam-3214	152	33	λn	λn	X
ejpam-3214	152	34	=	=	PUNCT
ejpam-3214	152	35	(	(	PUNCT
ejpam-3214	152	36	1−	1−	NUM
ejpam-3214	152	37	b2n	b2n	NOUN
ejpam-3214	152	38	(	(	PUNCT
ejpam-3214	152	39	bn	bn	INTJ
ejpam-3214	152	40	+	+	CCONJ
ejpam-3214	152	41	β)2	β)2	ADV
ejpam-3214	152	42	)	)	PUNCT
ejpam-3214	152	43	a2	a2	PROPN
ejpam-3214	152	44	+	+	CCONJ
ejpam-3214	152	45	(	(	PUNCT
ejpam-3214	152	46	bn	bn	ADP
ejpam-3214	152	47	−	−	PROPN
ejpam-3214	153	1	2αβ	2αβ	ADJ
ejpam-3214	153	2	bn	bn	NOUN
ejpam-3214	153	3	+	+	NUM
ejpam-3214	153	4	β	β	X
ejpam-3214	153	5	)	)	PUNCT
ejpam-3214	153	6	a	a	DET
ejpam-3214	153	7	bn	bn	NOUN
ejpam-3214	153	8	+	+	CCONJ
ejpam-3214	153	9	β	β	X
ejpam-3214	153	10	+	+	X
ejpam-3214	153	11	α2	α2	ADJ
ejpam-3214	153	12	(	(	PUNCT
ejpam-3214	153	13	bn	bn	NOUN
ejpam-3214	153	14	+	+	X
ejpam-3214	153	15	β)2	β)2	X
ejpam-3214	153	16	.	.	PUNCT
ejpam-3214	154	1	a.r	a.r	PROPN
ejpam-3214	154	2	.	.	PROPN
ejpam-3214	154	3	devdhara	devdhara	PROPN
ejpam-3214	154	4	,	,	PUNCT
ejpam-3214	154	5	v.n	v.n	PROPN
ejpam-3214	154	6	.	.	PUNCT
ejpam-3214	154	7	mishra	mishra	PROPN
ejpam-3214	154	8	/	/	SYM
ejpam-3214	154	9	eur	eur	PROPN
ejpam-3214	154	10	.	.	PUNCT
ejpam-3214	155	1	j.	j.	PROPN
ejpam-3214	155	2	pure	pure	PROPN
ejpam-3214	155	3	appl	appl	PROPN
ejpam-3214	155	4	.	.	PROPN
ejpam-3214	155	5	math	math	PROPN
ejpam-3214	155	6	,	,	PUNCT
ejpam-3214	155	7	11	11	NUM
ejpam-3214	155	8	(	(	PUNCT
ejpam-3214	155	9	2	2	NUM
ejpam-3214	155	10	)	)	PUNCT
ejpam-3214	155	11	(	(	PUNCT
ejpam-3214	155	12	2018	2018	NUM
ejpam-3214	155	13	)	)	PUNCT
ejpam-3214	155	14	,	,	PUNCT
ejpam-3214	155	15	400	400	NUM
ejpam-3214	155	16	-	-	SYM
ejpam-3214	155	17	409	409	NUM
ejpam-3214	155	18	406	406	NUM
ejpam-3214	155	19	proof	proof	NOUN
ejpam-3214	155	20	.	.	PUNCT
ejpam-3214	156	1	for	for	ADP
ejpam-3214	156	2	0	0	NUM
ejpam-3214	156	3	≤	≤	NUM
ejpam-3214	156	4	x	x	SYM
ejpam-3214	156	5	≤	≤	NOUN
ejpam-3214	156	6	a	a	PRON
ejpam-3214	156	7	and	and	CCONJ
ejpam-3214	156	8	t	t	PROPN
ejpam-3214	156	9	≥	≥	NOUN
ejpam-3214	156	10	0	0	NUM
ejpam-3214	156	11	,	,	PUNCT
ejpam-3214	156	12	we	we	PRON
ejpam-3214	156	13	have	have	VERB
ejpam-3214	156	14	[	[	X
ejpam-3214	156	15	6	6	NUM
ejpam-3214	156	16	]	]	PUNCT
ejpam-3214	156	17	|f(t)−	|f(t)−	PROPN
ejpam-3214	156	18	f(x)|	f(x)|	VERB
ejpam-3214	156	19	≤	≤	ADJ
ejpam-3214	156	20	6mf	6mf	NOUN
ejpam-3214	156	21	(	(	PUNCT
ejpam-3214	156	22	1	1	NUM
ejpam-3214	156	23	+	+	NUM
ejpam-3214	156	24	a2)(t−	a2)(t−	ADJ
ejpam-3214	156	25	x)2	x)2	VERB
ejpam-3214	157	1	+	+	CCONJ
ejpam-3214	157	2	ωa+1(f	ωa+1(f	ADJ
ejpam-3214	157	3	;	;	PUNCT
ejpam-3214	157	4	δn	δn	PROPN
ejpam-3214	157	5	)	)	PUNCT
ejpam-3214	157	6	(	(	PUNCT
ejpam-3214	157	7	|t−	|t−	PROPN
ejpam-3214	157	8	x|	x|	PROPN
ejpam-3214	157	9	δn	δn	NOUN
ejpam-3214	157	10	+	+	CCONJ
ejpam-3214	157	11	1	1	NUM
ejpam-3214	157	12	)	)	PUNCT
ejpam-3214	157	13	.	.	PUNCT
ejpam-3214	158	1	applying	apply	VERB
ejpam-3214	158	2	above	above	ADP
ejpam-3214	158	3	inequality	inequality	NOUN
ejpam-3214	158	4	and	and	CCONJ
ejpam-3214	158	5	cauchy	cauchy	PROPN
ejpam-3214	158	6	-	-	PUNCT
ejpam-3214	158	7	schwarz	schwarz	PROPN
ejpam-3214	158	8	inequality	inequality	NOUN
ejpam-3214	158	9	,	,	PUNCT
ejpam-3214	158	10	we	we	PRON
ejpam-3214	158	11	have	have	VERB
ejpam-3214	158	12	‖sα	‖sα	VERB
ejpam-3214	158	13	,	,	PUNCT
ejpam-3214	158	14	βn	βn	INTJ
ejpam-3214	158	15	(	(	PUNCT
ejpam-3214	158	16	f(t);x)−	f(t);x)−	NOUN
ejpam-3214	158	17	f(x)‖c[0,a	f(x)‖c[0,a	PROPN
ejpam-3214	158	18	]	]	X
ejpam-3214	158	19	≤	≤	NUM
ejpam-3214	158	20	sα	sα	ADV
ejpam-3214	158	21	,	,	PUNCT
ejpam-3214	158	22	βn	βn	INTJ
ejpam-3214	158	23	(	(	PUNCT
ejpam-3214	158	24	|f(t)−	|f(t)−	ADV
ejpam-3214	158	25	f(x)|;x	f(x)|;x	NOUN
ejpam-3214	158	26	)	)	PUNCT
ejpam-3214	158	27	≤	≤	NOUN
ejpam-3214	158	28	6mf	6mf	NOUN
ejpam-3214	158	29	(	(	PUNCT
ejpam-3214	158	30	1	1	NUM
ejpam-3214	158	31	+	+	CCONJ
ejpam-3214	158	32	a2)sα	a2)sα	ADV
ejpam-3214	158	33	,	,	PUNCT
ejpam-3214	158	34	βn	βn	INTJ
ejpam-3214	158	35	(	(	PUNCT
ejpam-3214	158	36	(	(	PUNCT
ejpam-3214	158	37	t−	t−	PROPN
ejpam-3214	158	38	x)2;x	x)2;x	NUM
ejpam-3214	158	39	)	)	PUNCT
ejpam-3214	159	1	+	+	CCONJ
ejpam-3214	159	2	ωa+1(f	ωa+1(f	ADJ
ejpam-3214	159	3	;	;	PUNCT
ejpam-3214	159	4	δn	δn	PROPN
ejpam-3214	159	5	)	)	PUNCT
ejpam-3214	159	6	(	(	PUNCT
ejpam-3214	159	7	1	1	NUM
ejpam-3214	159	8	+	+	SYM
ejpam-3214	159	9	1	1	NUM
ejpam-3214	159	10	δ2n	δ2n	NOUN
ejpam-3214	159	11	sα	sα	ADV
ejpam-3214	159	12	,	,	PUNCT
ejpam-3214	159	13	βn	βn	INTJ
ejpam-3214	159	14	(	(	PUNCT
ejpam-3214	159	15	(	(	PUNCT
ejpam-3214	159	16	t−	t−	PROPN
ejpam-3214	159	17	x)2;x	x)2;x	NUM
ejpam-3214	159	18	)	)	PUNCT
ejpam-3214	159	19	1/2	1/2	NUM
ejpam-3214	159	20	.	.	PUNCT
ejpam-3214	160	1	for	for	ADP
ejpam-3214	160	2	0	0	NUM
ejpam-3214	160	3	≤	≤	NUM
ejpam-3214	160	4	x	x	PUNCT
ejpam-3214	160	5	≤	≤	NUM
ejpam-3214	160	6	a	a	PRON
ejpam-3214	160	7	,	,	PUNCT
ejpam-3214	160	8	using	use	VERB
ejpam-3214	160	9	lemma	lemma	PROPN
ejpam-3214	160	10	(	(	PUNCT
ejpam-3214	160	11	2.2	2.2	NUM
ejpam-3214	160	12	)	)	PUNCT
ejpam-3214	160	13	,	,	PUNCT
ejpam-3214	160	14	sα	sα	ADV
ejpam-3214	160	15	,	,	PUNCT
ejpam-3214	160	16	βn	βn	INTJ
ejpam-3214	160	17	(	(	PUNCT
ejpam-3214	160	18	(	(	PUNCT
ejpam-3214	160	19	t−	t−	PROPN
ejpam-3214	160	20	x)2;x	x)2;x	NUM
ejpam-3214	160	21	)	)	PUNCT
ejpam-3214	160	22	=	=	PUNCT
ejpam-3214	161	1	(	(	PUNCT
ejpam-3214	161	2	bn	bn	NUM
ejpam-3214	161	3	bn	bn	NOUN
ejpam-3214	161	4	+	+	NOUN
ejpam-3214	162	1	β	β	X
ejpam-3214	162	2	−	−	NOUN
ejpam-3214	162	3	1	1	NUM
ejpam-3214	162	4	)	)	SYM
ejpam-3214	162	5	2	2	NUM
ejpam-3214	162	6	x2	x2	NOUN
ejpam-3214	163	1	+	+	CCONJ
ejpam-3214	163	2	(	(	PUNCT
ejpam-3214	163	3	(	(	PUNCT
ejpam-3214	163	4	1	1	NUM
ejpam-3214	163	5	+	+	NUM
ejpam-3214	163	6	2α)bn	2α)bn	NUM
ejpam-3214	163	7	(	(	PUNCT
ejpam-3214	163	8	bn	bn	NOUN
ejpam-3214	163	9	+	+	CCONJ
ejpam-3214	163	10	β)2	β)2	ADV
ejpam-3214	163	11	−	−	PROPN
ejpam-3214	163	12	2α	2α	PROPN
ejpam-3214	163	13	bn	bn	NOUN
ejpam-3214	163	14	+	+	X
ejpam-3214	163	15	β	β	X
ejpam-3214	163	16	)	)	PUNCT
ejpam-3214	164	1	x+	x+	VERB
ejpam-3214	164	2	α2	α2	PROPN
ejpam-3214	164	3	(	(	PUNCT
ejpam-3214	164	4	bn	bn	NOUN
ejpam-3214	164	5	+	+	CCONJ
ejpam-3214	164	6	β)2	β)2	X
ejpam-3214	164	7	≤	≤	X
ejpam-3214	164	8	(	(	PUNCT
ejpam-3214	164	9	bn	bn	NOUN
ejpam-3214	164	10	bn	bn	NOUN
ejpam-3214	164	11	+	+	NOUN
ejpam-3214	164	12	β	β	X
ejpam-3214	164	13	−	−	NOUN
ejpam-3214	164	14	1	1	NUM
ejpam-3214	164	15	)	)	SYM
ejpam-3214	164	16	2	2	NUM
ejpam-3214	164	17	a2	a2	NOUN
ejpam-3214	164	18	+	+	CCONJ
ejpam-3214	164	19	(	(	PUNCT
ejpam-3214	164	20	(	(	PUNCT
ejpam-3214	164	21	1	1	NUM
ejpam-3214	164	22	+	+	NUM
ejpam-3214	164	23	2α)bn	2α)bn	NUM
ejpam-3214	164	24	(	(	PUNCT
ejpam-3214	164	25	bn	bn	NOUN
ejpam-3214	164	26	+	+	CCONJ
ejpam-3214	164	27	β)2	β)2	ADV
ejpam-3214	164	28	−	−	PROPN
ejpam-3214	164	29	2α	2α	PROPN
ejpam-3214	164	30	bn	bn	NOUN
ejpam-3214	164	31	+	+	X
ejpam-3214	164	32	β	β	X
ejpam-3214	164	33	)	)	PUNCT
ejpam-3214	164	34	a+	a+	PUNCT
ejpam-3214	164	35	α2	α2	PROPN
ejpam-3214	164	36	(	(	PUNCT
ejpam-3214	164	37	bn	bn	NOUN
ejpam-3214	164	38	+	+	CCONJ
ejpam-3214	164	39	β)2	β)2	X
ejpam-3214	164	40	≤	≤	X
ejpam-3214	164	41	(	(	PUNCT
ejpam-3214	164	42	1−	1−	NUM
ejpam-3214	164	43	b2n	b2n	NOUN
ejpam-3214	164	44	(	(	PUNCT
ejpam-3214	164	45	bn	bn	INTJ
ejpam-3214	164	46	+	+	CCONJ
ejpam-3214	164	47	β)2	β)2	ADV
ejpam-3214	164	48	)	)	PUNCT
ejpam-3214	164	49	a2	a2	PROPN
ejpam-3214	164	50	+	+	CCONJ
ejpam-3214	164	51	(	(	PUNCT
ejpam-3214	164	52	bn	bn	ADP
ejpam-3214	164	53	−	−	PROPN
ejpam-3214	164	54	2αβ	2αβ	ADJ
ejpam-3214	164	55	bn	bn	NOUN
ejpam-3214	164	56	+	+	NUM
ejpam-3214	164	57	β	β	X
ejpam-3214	164	58	)	)	PUNCT
ejpam-3214	164	59	a	a	DET
ejpam-3214	164	60	bn	bn	NOUN
ejpam-3214	164	61	+	+	CCONJ
ejpam-3214	164	62	β	β	X
ejpam-3214	164	63	+	+	X
ejpam-3214	164	64	α2	α2	ADJ
ejpam-3214	164	65	(	(	PUNCT
ejpam-3214	164	66	bn	bn	NOUN
ejpam-3214	164	67	+	+	NOUN
ejpam-3214	164	68	β)2	β)2	X
ejpam-3214	164	69	=	=	ADJ
ejpam-3214	164	70	λn	λn	NOUN
ejpam-3214	164	71	.	.	PUNCT
ejpam-3214	165	1	taking	take	VERB
ejpam-3214	165	2	δn	δn	PRON
ejpam-3214	165	3	=	=	SYM
ejpam-3214	165	4	√	√	NUM
ejpam-3214	165	5	λn	λn	NOUN
ejpam-3214	165	6	,	,	PUNCT
ejpam-3214	165	7	we	we	PRON
ejpam-3214	165	8	will	will	AUX
ejpam-3214	165	9	get	get	VERB
ejpam-3214	165	10	the	the	DET
ejpam-3214	165	11	theorem	theorem	NOUN
ejpam-3214	165	12	.	.	PROPN
ejpam-3214	165	13	4	4	NUM
ejpam-3214	165	14	.	.	NOUN
ejpam-3214	165	15	voronovskaya	voronovskaya	NOUN
ejpam-3214	165	16	type	type	NOUN
ejpam-3214	165	17	result	result	NOUN
ejpam-3214	165	18	theorem	theorem	VERB
ejpam-3214	165	19	4.1	4.1	NUM
ejpam-3214	165	20	.	.	PUNCT
ejpam-3214	166	1	for	for	ADP
ejpam-3214	166	2	f	f	PROPN
ejpam-3214	166	3	∈	∈	PROPN
ejpam-3214	166	4	cξ[0,∞	cξ[0,∞	PROPN
ejpam-3214	166	5	)	)	PUNCT
ejpam-3214	167	1	such	such	ADJ
ejpam-3214	167	2	that	that	SCONJ
ejpam-3214	167	3	f	f	PROPN
ejpam-3214	167	4	′	′	NOUN
ejpam-3214	167	5	,	,	PUNCT
ejpam-3214	167	6	f	f	PROPN
ejpam-3214	167	7	′′	′′	PROPN
ejpam-3214	167	8	∈	∈	PROPN
ejpam-3214	167	9	cξ[0,∞	cξ[0,∞	PROPN
ejpam-3214	167	10	)	)	PUNCT
ejpam-3214	167	11	,	,	PUNCT
ejpam-3214	167	12	we	we	PRON
ejpam-3214	167	13	have	have	VERB
ejpam-3214	167	14	lim	lim	PROPN
ejpam-3214	167	15	n→∞	n→∞	X
ejpam-3214	167	16	bn[sα	bn[sα	PROPN
ejpam-3214	167	17	,	,	PUNCT
ejpam-3214	167	18	βn	βn	X
ejpam-3214	167	19	(	(	PUNCT
ejpam-3214	167	20	f	f	X
ejpam-3214	167	21	;	;	PUNCT
ejpam-3214	167	22	x)−	x)−	PROPN
ejpam-3214	167	23	f(x	f(x	PROPN
ejpam-3214	167	24	)	)	PUNCT
ejpam-3214	167	25	]	]	PUNCT
ejpam-3214	168	1	=	=	PUNCT
ejpam-3214	168	2	(	(	PUNCT
ejpam-3214	168	3	α−	α−	ADP
ejpam-3214	168	4	βx)f	βx)f	SYM
ejpam-3214	168	5	′(x	′(x	NOUN
ejpam-3214	168	6	)	)	PUNCT
ejpam-3214	169	1	+	+	CCONJ
ejpam-3214	169	2	x	x	SYM
ejpam-3214	169	3	2	2	NUM
ejpam-3214	169	4	f	f	PROPN
ejpam-3214	169	5	′′(x	′′(x	NOUN
ejpam-3214	169	6	)	)	PUNCT
ejpam-3214	169	7	.	.	PUNCT
ejpam-3214	170	1	(	(	PUNCT
ejpam-3214	170	2	12	12	NUM
ejpam-3214	170	3	)	)	PUNCT
ejpam-3214	170	4	where	where	SCONJ
ejpam-3214	170	5	0	0	NUM
ejpam-3214	170	6	≤	≤	NUM
ejpam-3214	170	7	x	x	SYM
ejpam-3214	170	8	≤	≤	NUM
ejpam-3214	170	9	a	a	PRON
ejpam-3214	170	10	,	,	PUNCT
ejpam-3214	170	11	a	a	DET
ejpam-3214	170	12	>	>	X
ejpam-3214	170	13	0	0	X
ejpam-3214	170	14	.	.	PUNCT
ejpam-3214	170	15	proof	proof	NOUN
ejpam-3214	170	16	.	.	PUNCT
ejpam-3214	171	1	from	from	ADP
ejpam-3214	171	2	taylor	taylor	PROPN
ejpam-3214	171	3	’s	’s	PART
ejpam-3214	171	4	formula	formula	NOUN
ejpam-3214	171	5	,	,	PUNCT
ejpam-3214	171	6	we	we	PRON
ejpam-3214	171	7	have	have	VERB
ejpam-3214	171	8	f(t	f(t	NOUN
ejpam-3214	171	9	)	)	PUNCT
ejpam-3214	171	10	=	=	SYM
ejpam-3214	171	11	f(x	f(x	PROPN
ejpam-3214	171	12	)	)	PUNCT
ejpam-3214	172	1	+	+	CCONJ
ejpam-3214	172	2	(	(	PUNCT
ejpam-3214	172	3	t−	t−	PROPN
ejpam-3214	172	4	x)f	x)f	NOUN
ejpam-3214	172	5	′(x	′(x	NOUN
ejpam-3214	172	6	)	)	PUNCT
ejpam-3214	173	1	+	+	CCONJ
ejpam-3214	174	1	1	1	NUM
ejpam-3214	174	2	2(t−	2(t−	NUM
ejpam-3214	174	3	x)2f	x)2f	NOUN
ejpam-3214	174	4	′′(x	′′(x	NOUN
ejpam-3214	174	5	)	)	PUNCT
ejpam-3214	174	6	+	+	CCONJ
ejpam-3214	174	7	(	(	PUNCT
ejpam-3214	174	8	t−	t−	PROPN
ejpam-3214	174	9	x)2r(t	x)2r(t	NOUN
ejpam-3214	174	10	,	,	PUNCT
ejpam-3214	174	11	x	x	NOUN
ejpam-3214	174	12	)	)	PUNCT
ejpam-3214	174	13	,	,	PUNCT
ejpam-3214	174	14	here	here	ADV
ejpam-3214	174	15	,	,	PUNCT
ejpam-3214	174	16	r(t	r(t	NOUN
ejpam-3214	174	17	,	,	PUNCT
ejpam-3214	174	18	x	x	X
ejpam-3214	174	19	)	)	PUNCT
ejpam-3214	174	20	is	be	AUX
ejpam-3214	174	21	reminder	reminder	NOUN
ejpam-3214	174	22	term	term	NOUN
ejpam-3214	174	23	and	and	CCONJ
ejpam-3214	174	24	lim	lim	PROPN
ejpam-3214	174	25	t→x	t→x	PROPN
ejpam-3214	174	26	r(t	r(t	PROPN
ejpam-3214	174	27	,	,	PUNCT
ejpam-3214	174	28	x	x	NOUN
ejpam-3214	174	29	)	)	PUNCT
ejpam-3214	174	30	=	=	SYM
ejpam-3214	175	1	0	0	X
ejpam-3214	175	2	.	.	PUNCT
ejpam-3214	176	1	therefore	therefore	ADV
ejpam-3214	176	2	,	,	PUNCT
ejpam-3214	176	3	bn[sα	bn[sα	X
ejpam-3214	176	4	,	,	PUNCT
ejpam-3214	176	5	βn	βn	X
ejpam-3214	176	6	(	(	PUNCT
ejpam-3214	176	7	f	f	X
ejpam-3214	176	8	;	;	PUNCT
ejpam-3214	176	9	x)−	x)−	PROPN
ejpam-3214	176	10	f(x	f(x	PROPN
ejpam-3214	176	11	)	)	PUNCT
ejpam-3214	176	12	]	]	PUNCT
ejpam-3214	177	1	=	=	PUNCT
ejpam-3214	177	2	bnf	bnf	PROPN
ejpam-3214	177	3	′(x)sα	′(x)sα	NOUN
ejpam-3214	177	4	,	,	PUNCT
ejpam-3214	177	5	βn	βn	X
ejpam-3214	177	6	(	(	PUNCT
ejpam-3214	177	7	(	(	PUNCT
ejpam-3214	177	8	t−	t−	PROPN
ejpam-3214	177	9	x);x	x);x	PROPN
ejpam-3214	177	10	)	)	PUNCT
ejpam-3214	178	1	+	+	CCONJ
ejpam-3214	178	2	bn	bn	X
ejpam-3214	178	3	f	f	PROPN
ejpam-3214	178	4	′′(x	′′(x	PROPN
ejpam-3214	178	5	)	)	PUNCT
ejpam-3214	178	6	2	2	NUM
ejpam-3214	178	7	sα	sα	ADP
ejpam-3214	178	8	,	,	PUNCT
ejpam-3214	178	9	βn	βn	INTJ
ejpam-3214	178	10	(	(	PUNCT
ejpam-3214	178	11	(	(	PUNCT
ejpam-3214	178	12	t−	t−	PROPN
ejpam-3214	178	13	x)2;x	x)2;x	NUM
ejpam-3214	178	14	)	)	PUNCT
ejpam-3214	179	1	+	+	CCONJ
ejpam-3214	179	2	bns	bns	PROPN
ejpam-3214	179	3	α	α	NOUN
ejpam-3214	179	4	,	,	PUNCT
ejpam-3214	179	5	β	β	X
ejpam-3214	179	6	n	n	X
ejpam-3214	179	7	(	(	PUNCT
ejpam-3214	179	8	r(t	r(t	NOUN
ejpam-3214	179	9	,	,	PUNCT
ejpam-3214	179	10	x)(t−	x)(t−	NOUN
ejpam-3214	179	11	x)2;x	x)2;x	NUM
ejpam-3214	179	12	)	)	PUNCT
ejpam-3214	179	13	.	.	PUNCT
ejpam-3214	180	1	by	by	ADP
ejpam-3214	180	2	the	the	DET
ejpam-3214	180	3	cauchy	cauchy	PROPN
ejpam-3214	180	4	-	-	PUNCT
ejpam-3214	180	5	schwarz	schwarz	PROPN
ejpam-3214	180	6	inequality	inequality	NOUN
ejpam-3214	180	7	,	,	PUNCT
ejpam-3214	180	8	we	we	PRON
ejpam-3214	180	9	get	get	VERB
ejpam-3214	180	10	a.r	a.r	PROPN
ejpam-3214	180	11	.	.	PROPN
ejpam-3214	180	12	devdhara	devdhara	PROPN
ejpam-3214	180	13	,	,	PUNCT
ejpam-3214	180	14	v.n	v.n	PROPN
ejpam-3214	180	15	.	.	PUNCT
ejpam-3214	180	16	mishra	mishra	PROPN
ejpam-3214	180	17	/	/	SYM
ejpam-3214	180	18	eur	eur	PROPN
ejpam-3214	180	19	.	.	PUNCT
ejpam-3214	181	1	j.	j.	PROPN
ejpam-3214	181	2	pure	pure	PROPN
ejpam-3214	181	3	appl	appl	PROPN
ejpam-3214	181	4	.	.	PROPN
ejpam-3214	181	5	math	math	PROPN
ejpam-3214	181	6	,	,	PUNCT
ejpam-3214	181	7	11	11	NUM
ejpam-3214	181	8	(	(	PUNCT
ejpam-3214	181	9	2	2	NUM
ejpam-3214	181	10	)	)	PUNCT
ejpam-3214	181	11	(	(	PUNCT
ejpam-3214	181	12	2018	2018	NUM
ejpam-3214	181	13	)	)	PUNCT
ejpam-3214	181	14	,	,	PUNCT
ejpam-3214	181	15	400	400	NUM
ejpam-3214	181	16	-	-	SYM
ejpam-3214	181	17	409	409	NUM
ejpam-3214	181	18	407	407	NUM
ejpam-3214	181	19	sα	sα	ADP
ejpam-3214	181	20	,	,	PUNCT
ejpam-3214	181	21	βn	βn	INTJ
ejpam-3214	181	22	(	(	PUNCT
ejpam-3214	181	23	r(t	r(t	NOUN
ejpam-3214	181	24	,	,	PUNCT
ejpam-3214	181	25	x)(t−	x)(t−	NOUN
ejpam-3214	181	26	x)2;x	x)2;x	NUM
ejpam-3214	181	27	)	)	PUNCT
ejpam-3214	181	28	≤	≤	NOUN
ejpam-3214	181	29	√	√	PUNCT
ejpam-3214	182	1	sα	sα	ADP
ejpam-3214	182	2	,	,	PUNCT
ejpam-3214	182	3	βn	βn	INTJ
ejpam-3214	182	4	(	(	PUNCT
ejpam-3214	182	5	r2(t	r2(t	PROPN
ejpam-3214	182	6	,	,	PUNCT
ejpam-3214	182	7	x);x	x);x	ADJ
ejpam-3214	182	8	)	)	PUNCT
ejpam-3214	182	9	√	√	PUNCT
ejpam-3214	183	1	sα	sα	ADP
ejpam-3214	183	2	,	,	PUNCT
ejpam-3214	183	3	βn	βn	X
ejpam-3214	183	4	(	(	PUNCT
ejpam-3214	183	5	t−	t−	PROPN
ejpam-3214	183	6	x)4;x	x)4;x	NUM
ejpam-3214	183	7	)	)	PUNCT
ejpam-3214	183	8	.	.	PUNCT
ejpam-3214	184	1	as	as	ADP
ejpam-3214	184	2	r(t	r(t	NOUN
ejpam-3214	184	3	,	,	PUNCT
ejpam-3214	184	4	x	x	X
ejpam-3214	184	5	)	)	PUNCT
ejpam-3214	184	6	∈	∈	PROPN
ejpam-3214	184	7	cξ[0,∞	cξ[0,∞	PROPN
ejpam-3214	184	8	)	)	PUNCT
ejpam-3214	184	9	,	,	PUNCT
ejpam-3214	184	10	therefore	therefore	ADV
ejpam-3214	184	11	by	by	ADP
ejpam-3214	184	12	theorem	theorem	NOUN
ejpam-3214	184	13	(	(	PUNCT
ejpam-3214	184	14	2.3	2.3	NUM
ejpam-3214	184	15	)	)	PUNCT
ejpam-3214	184	16	and	and	CCONJ
ejpam-3214	184	17	from	from	ADP
ejpam-3214	184	18	the	the	DET
ejpam-3214	184	19	fact	fact	NOUN
ejpam-3214	184	20	that	that	SCONJ
ejpam-3214	184	21	limt→x	limt→x	ADJ
ejpam-3214	184	22	r(t	r(t	NOUN
ejpam-3214	184	23	,	,	PUNCT
ejpam-3214	184	24	x	x	X
ejpam-3214	184	25	)	)	PUNCT
ejpam-3214	184	26	=	=	SYM
ejpam-3214	184	27	0	0	NUM
ejpam-3214	184	28	,	,	PUNCT
ejpam-3214	184	29	we	we	PRON
ejpam-3214	184	30	obtain	obtain	VERB
ejpam-3214	184	31	lim	lim	PROPN
ejpam-3214	184	32	n→∞	n→∞	NUM
ejpam-3214	184	33	sα	sα	PROPN
ejpam-3214	184	34	,	,	PUNCT
ejpam-3214	184	35	βn	βn	INTJ
ejpam-3214	184	36	(	(	PUNCT
ejpam-3214	184	37	r2(t	r2(t	PROPN
ejpam-3214	184	38	,	,	PUNCT
ejpam-3214	184	39	x);x	x);x	ADJ
ejpam-3214	184	40	)	)	PUNCT
ejpam-3214	185	1	=	=	SYM
ejpam-3214	185	2	r2(x	r2(x	PROPN
ejpam-3214	185	3	,	,	PUNCT
ejpam-3214	185	4	x	x	NOUN
ejpam-3214	185	5	)	)	PUNCT
ejpam-3214	185	6	=	=	SYM
ejpam-3214	185	7	0	0	X
ejpam-3214	185	8	.	.	PUNCT
ejpam-3214	186	1	therefore	therefore	ADV
ejpam-3214	186	2	,	,	PUNCT
ejpam-3214	186	3	lim	lim	PROPN
ejpam-3214	186	4	n→∞	n→∞	NOUN
ejpam-3214	186	5	bn[sα	bn[sα	ADJ
ejpam-3214	186	6	,	,	PUNCT
ejpam-3214	186	7	βn	βn	X
ejpam-3214	186	8	(	(	PUNCT
ejpam-3214	186	9	f	f	X
ejpam-3214	186	10	;	;	PUNCT
ejpam-3214	186	11	x)−	x)−	PROPN
ejpam-3214	186	12	f(x	f(x	PROPN
ejpam-3214	186	13	)	)	PUNCT
ejpam-3214	186	14	]	]	PUNCT
ejpam-3214	187	1	=	=	PUNCT
ejpam-3214	187	2	lim	lim	PROPN
ejpam-3214	187	3	n→∞	n→∞	NUM
ejpam-3214	187	4	bnf	bnf	PROPN
ejpam-3214	187	5	′(x)sα	′(x)sα	PROPN
ejpam-3214	187	6	,	,	PUNCT
ejpam-3214	187	7	βn	βn	X
ejpam-3214	187	8	(	(	PUNCT
ejpam-3214	187	9	(	(	PUNCT
ejpam-3214	187	10	t−	t−	PROPN
ejpam-3214	187	11	x);x	x);x	PROPN
ejpam-3214	187	12	)	)	PUNCT
ejpam-3214	187	13	+	+	CCONJ
ejpam-3214	187	14	lim	lim	PROPN
ejpam-3214	187	15	n→∞	n→∞	NUM
ejpam-3214	187	16	bn	bn	NOUN
ejpam-3214	187	17	f	f	PROPN
ejpam-3214	187	18	′′(x	′′(x	PROPN
ejpam-3214	187	19	)	)	PUNCT
ejpam-3214	187	20	2	2	NUM
ejpam-3214	187	21	sα	sα	ADP
ejpam-3214	187	22	,	,	PUNCT
ejpam-3214	187	23	βn	βn	INTJ
ejpam-3214	187	24	(	(	PUNCT
ejpam-3214	187	25	(	(	PUNCT
ejpam-3214	187	26	t−	t−	PROPN
ejpam-3214	187	27	x)2;x	x)2;x	NUM
ejpam-3214	187	28	)	)	PUNCT
ejpam-3214	187	29	.	.	PUNCT
ejpam-3214	188	1	now	now	ADV
ejpam-3214	188	2	,	,	PUNCT
ejpam-3214	188	3	lim	lim	PROPN
ejpam-3214	188	4	n→∞	n→∞	NUM
ejpam-3214	188	5	bns	bns	PROPN
ejpam-3214	188	6	α	α	PROPN
ejpam-3214	188	7	,	,	PUNCT
ejpam-3214	188	8	β	β	X
ejpam-3214	188	9	n	n	X
ejpam-3214	188	10	(	(	PUNCT
ejpam-3214	188	11	(	(	PUNCT
ejpam-3214	188	12	t−	t−	PROPN
ejpam-3214	188	13	x);x	x);x	PROPN
ejpam-3214	188	14	)	)	PUNCT
ejpam-3214	189	1	=	=	SYM
ejpam-3214	189	2	limn→∞bn	limn→∞bn	PROPN
ejpam-3214	189	3	(	(	PUNCT
ejpam-3214	189	4	bnx+	bnx+	NOUN
ejpam-3214	189	5	α	α	NOUN
ejpam-3214	189	6	bn	bn	NOUN
ejpam-3214	189	7	+	+	X
ejpam-3214	189	8	β	β	X
ejpam-3214	189	9	−	−	NOUN
ejpam-3214	189	10	x	x	SYM
ejpam-3214	189	11	)	)	PUNCT
ejpam-3214	190	1	=	=	SYM
ejpam-3214	190	2	lim	lim	PROPN
ejpam-3214	190	3	n→∞	n→∞	NUM
ejpam-3214	190	4	bn	bn	PROPN
ejpam-3214	190	5	(	(	PUNCT
ejpam-3214	190	6	bn	bn	NOUN
ejpam-3214	190	7	bn	bn	NOUN
ejpam-3214	190	8	+	+	NOUN
ejpam-3214	190	9	β	β	X
ejpam-3214	190	10	−	−	NOUN
ejpam-3214	190	11	1	1	NUM
ejpam-3214	190	12	)	)	PUNCT
ejpam-3214	190	13	x+	x+	PROPN
ejpam-3214	190	14	lim	lim	PROPN
ejpam-3214	190	15	n→∞	n→∞	NUM
ejpam-3214	191	1	bn	bn	PROPN
ejpam-3214	191	2	(	(	PUNCT
ejpam-3214	191	3	α	α	NOUN
ejpam-3214	191	4	bn	bn	PROPN
ejpam-3214	191	5	+	+	CCONJ
ejpam-3214	191	6	β	β	X
ejpam-3214	191	7	)	)	PUNCT
ejpam-3214	192	1	=	=	PUNCT
ejpam-3214	192	2	α−	α−	ADP
ejpam-3214	192	3	βx	βx	NOUN
ejpam-3214	192	4	,	,	PUNCT
ejpam-3214	192	5	and	and	CCONJ
ejpam-3214	192	6	lim	lim	PROPN
ejpam-3214	192	7	n→∞	n→∞	NUM
ejpam-3214	192	8	bns	bns	PROPN
ejpam-3214	192	9	α	α	PROPN
ejpam-3214	192	10	,	,	PUNCT
ejpam-3214	192	11	β	β	X
ejpam-3214	192	12	n	n	X
ejpam-3214	192	13	(	(	PUNCT
ejpam-3214	192	14	(	(	PUNCT
ejpam-3214	192	15	t−	t−	PROPN
ejpam-3214	192	16	x)2;x	x)2;x	NUM
ejpam-3214	192	17	)	)	PUNCT
ejpam-3214	193	1	=	=	VERB
ejpam-3214	193	2	lim	lim	PROPN
ejpam-3214	193	3	n→∞	n→∞	NUM
ejpam-3214	193	4	bn	bn	INTJ
ejpam-3214	193	5	(	(	PUNCT
ejpam-3214	193	6	(	(	PUNCT
ejpam-3214	193	7	bn	bn	NOUN
ejpam-3214	193	8	bn	bn	NOUN
ejpam-3214	193	9	+	+	NOUN
ejpam-3214	193	10	β	β	X
ejpam-3214	193	11	−	−	NOUN
ejpam-3214	193	12	1	1	NUM
ejpam-3214	193	13	)	)	SYM
ejpam-3214	193	14	2	2	NUM
ejpam-3214	193	15	x2	x2	NOUN
ejpam-3214	193	16	+	+	CCONJ
ejpam-3214	193	17	(	(	PUNCT
ejpam-3214	193	18	(	(	PUNCT
ejpam-3214	193	19	1	1	NUM
ejpam-3214	193	20	+	+	NUM
ejpam-3214	193	21	2α)bn	2α)bn	NUM
ejpam-3214	193	22	(	(	PUNCT
ejpam-3214	193	23	bn	bn	NOUN
ejpam-3214	193	24	+	+	CCONJ
ejpam-3214	193	25	β)2	β)2	ADV
ejpam-3214	193	26	−	−	PROPN
ejpam-3214	193	27	2α	2α	PROPN
ejpam-3214	193	28	bn	bn	NOUN
ejpam-3214	193	29	+	+	X
ejpam-3214	193	30	β	β	X
ejpam-3214	193	31	)	)	PUNCT
ejpam-3214	193	32	x+	x+	VERB
ejpam-3214	193	33	α2	α2	PROPN
ejpam-3214	193	34	(	(	PUNCT
ejpam-3214	193	35	bn	bn	NOUN
ejpam-3214	193	36	+	+	NOUN
ejpam-3214	193	37	β)2	β)2	X
ejpam-3214	193	38	)	)	PUNCT
ejpam-3214	193	39	=	=	SYM
ejpam-3214	194	1	x.	x.	NOUN
ejpam-3214	194	2	hence	hence	ADV
ejpam-3214	194	3	,	,	PUNCT
ejpam-3214	194	4	from	from	ADP
ejpam-3214	194	5	above	above	ADP
ejpam-3214	194	6	equations	equation	NOUN
ejpam-3214	194	7	,	,	PUNCT
ejpam-3214	194	8	we	we	PRON
ejpam-3214	194	9	have	have	VERB
ejpam-3214	194	10	lim	lim	PROPN
ejpam-3214	194	11	n→∞	n→∞	X
ejpam-3214	194	12	bn[sα	bn[sα	PROPN
ejpam-3214	194	13	,	,	PUNCT
ejpam-3214	194	14	βn	βn	X
ejpam-3214	194	15	(	(	PUNCT
ejpam-3214	194	16	f	f	X
ejpam-3214	194	17	;	;	PUNCT
ejpam-3214	194	18	x)−	x)−	PROPN
ejpam-3214	194	19	f(x	f(x	PROPN
ejpam-3214	194	20	)	)	PUNCT
ejpam-3214	194	21	]	]	PUNCT
ejpam-3214	195	1	=	=	PUNCT
ejpam-3214	195	2	(	(	PUNCT
ejpam-3214	195	3	α−	α−	ADP
ejpam-3214	195	4	βx)f	βx)f	SYM
ejpam-3214	195	5	′(x	′(x	NOUN
ejpam-3214	195	6	)	)	PUNCT
ejpam-3214	196	1	+	+	CCONJ
ejpam-3214	196	2	x	x	SYM
ejpam-3214	196	3	2	2	NUM
ejpam-3214	196	4	f	f	PROPN
ejpam-3214	196	5	′′(x	′′(x	NOUN
ejpam-3214	196	6	)	)	PUNCT
ejpam-3214	196	7	.	.	PUNCT
ejpam-3214	197	1	hence	hence	ADV
ejpam-3214	197	2	the	the	DET
ejpam-3214	197	3	theorem	theorem	NOUN
ejpam-3214	197	4	is	be	AUX
ejpam-3214	197	5	proved	prove	VERB
ejpam-3214	197	6	.	.	PUNCT
ejpam-3214	198	1	acknowledgements	acknowledgement	NOUN
ejpam-3214	198	2	the	the	DET
ejpam-3214	198	3	authors	author	NOUN
ejpam-3214	198	4	would	would	AUX
ejpam-3214	198	5	like	like	VERB
ejpam-3214	198	6	to	to	PART
ejpam-3214	198	7	express	express	VERB
ejpam-3214	198	8	their	their	PRON
ejpam-3214	198	9	deep	deep	ADJ
ejpam-3214	198	10	gratitude	gratitude	NOUN
ejpam-3214	198	11	to	to	ADP
ejpam-3214	198	12	the	the	DET
ejpam-3214	198	13	anonymous	anonymous	PROPN
ejpam-3214	198	14	learned	learn	VERB
ejpam-3214	198	15	referee(s	referee(s	PROPN
ejpam-3214	198	16	)	)	PUNCT
ejpam-3214	198	17	and	and	CCONJ
ejpam-3214	198	18	the	the	DET
ejpam-3214	198	19	editor	editor	NOUN
ejpam-3214	198	20	for	for	ADP
ejpam-3214	198	21	their	their	PRON
ejpam-3214	198	22	valuable	valuable	ADJ
ejpam-3214	198	23	suggestions	suggestion	NOUN
ejpam-3214	198	24	and	and	CCONJ
ejpam-3214	198	25	constructive	constructive	ADJ
ejpam-3214	198	26	comments	comment	NOUN
ejpam-3214	198	27	,	,	PUNCT
ejpam-3214	198	28	which	which	PRON
ejpam-3214	198	29	resulted	result	VERB
ejpam-3214	198	30	in	in	ADP
ejpam-3214	198	31	the	the	DET
ejpam-3214	198	32	subsequent	subsequent	ADJ
ejpam-3214	198	33	improvement	improvement	NOUN
ejpam-3214	198	34	of	of	ADP
ejpam-3214	198	35	this	this	DET
ejpam-3214	198	36	research	research	NOUN
ejpam-3214	198	37	article	article	NOUN
ejpam-3214	198	38	.	.	PUNCT
ejpam-3214	199	1	references	reference	NOUN
ejpam-3214	199	2	408	408	NUM
ejpam-3214	199	3	references	reference	NOUN
ejpam-3214	199	4	[	[	X
ejpam-3214	199	5	1	1	NUM
ejpam-3214	199	6	]	]	PUNCT
ejpam-3214	199	7	a.	a.	NOUN
ejpam-3214	199	8	kumar	kumar	PROPN
ejpam-3214	199	9	,	,	PUNCT
ejpam-3214	199	10	l.n	l.n	PROPN
ejpam-3214	199	11	.	.	PROPN
ejpam-3214	199	12	mishra	mishra	PROPN
ejpam-3214	199	13	,	,	PUNCT
ejpam-3214	199	14	approximation	approximation	NOUN
ejpam-3214	199	15	by	by	ADP
ejpam-3214	199	16	modified	modify	VERB
ejpam-3214	199	17	jain	jain	PROPN
ejpam-3214	199	18	-	-	PUNCT
ejpam-3214	199	19	baskakov	baskakov	PROPN
ejpam-3214	199	20	-	-	PUNCT
ejpam-3214	199	21	stancu	stancu	PROPN
ejpam-3214	199	22	operators	operator	NOUN
ejpam-3214	199	23	,	,	PUNCT
ejpam-3214	199	24	tbilisi	tbilisi	PROPN
ejpam-3214	199	25	mathematical	mathematical	PROPN
ejpam-3214	199	26	journal	journal	PROPN
ejpam-3214	199	27	,	,	PUNCT
ejpam-3214	199	28	10(2	10(2	NUM
ejpam-3214	199	29	):	):	PUNCT
ejpam-3214	199	30	185	185	NUM
ejpam-3214	199	31	-	-	SYM
ejpam-3214	199	32	199	199	NUM
ejpam-3214	199	33	,	,	PUNCT
ejpam-3214	199	34	2017	2017	NUM
ejpam-3214	199	35	.	.	PUNCT
ejpam-3214	200	1	[	[	X
ejpam-3214	200	2	2	2	NUM
ejpam-3214	200	3	]	]	X
ejpam-3214	200	4	a.r	a.r	PROPN
ejpam-3214	200	5	.	.	PROPN
ejpam-3214	200	6	gairola	gairola	PROPN
ejpam-3214	200	7	,	,	PUNCT
ejpam-3214	200	8	deepmala	deepmala	PROPN
ejpam-3214	200	9	,	,	PUNCT
ejpam-3214	200	10	l.n	l.n	PROPN
ejpam-3214	200	11	.	.	PROPN
ejpam-3214	200	12	mishra	mishra	PROPN
ejpam-3214	200	13	,	,	PUNCT
ejpam-3214	200	14	on	on	ADP
ejpam-3214	200	15	the	the	DET
ejpam-3214	200	16	q−derivatives	q−derivative	NOUN
ejpam-3214	200	17	of	of	ADP
ejpam-3214	200	18	a	a	DET
ejpam-3214	200	19	certain	certain	ADJ
ejpam-3214	200	20	linear	linear	ADJ
ejpam-3214	200	21	positive	positive	ADJ
ejpam-3214	200	22	operators	operator	NOUN
ejpam-3214	200	23	,	,	PUNCT
ejpam-3214	200	24	iranian	iranian	ADJ
ejpam-3214	200	25	journal	journal	PROPN
ejpam-3214	200	26	of	of	ADP
ejpam-3214	200	27	science	science	PROPN
ejpam-3214	200	28	&	&	CCONJ
ejpam-3214	200	29	technology	technology	NOUN
ejpam-3214	200	30	,	,	PUNCT
ejpam-3214	200	31	transactions	transaction	VERB
ejpam-3214	200	32	a	a	DET
ejpam-3214	200	33	:	:	PUNCT
ejpam-3214	200	34	science	science	NOUN
ejpam-3214	200	35	,	,	PUNCT
ejpam-3214	200	36	2017	2017	NUM
ejpam-3214	200	37	,	,	PUNCT
ejpam-3214	200	38	doi	doi	NOUN
ejpam-3214	200	39	:	:	PUNCT
ejpam-3214	200	40	10.1007	10.1007	NUM
ejpam-3214	200	41	/	/	SYM
ejpam-3214	200	42	s40995	s40995	VERB
ejpam-3214	200	43	-	-	PUNCT
ejpam-3214	200	44	017	017	NUM
ejpam-3214	200	45	-	-	PUNCT
ejpam-3214	200	46	0227	0227	NUM
ejpam-3214	200	47	-	-	SYM
ejpam-3214	200	48	8	8	NUM
ejpam-3214	200	49	.	.	PUNCT
ejpam-3214	201	1	[	[	X
ejpam-3214	201	2	3	3	X
ejpam-3214	201	3	]	]	X
ejpam-3214	201	4	d.d	d.d	PROPN
ejpam-3214	201	5	.	.	PROPN
ejpam-3214	201	6	stancu	stancu	PROPN
ejpam-3214	201	7	,	,	PUNCT
ejpam-3214	201	8	approximation	approximation	NOUN
ejpam-3214	201	9	of	of	ADP
ejpam-3214	201	10	functions	function	NOUN
ejpam-3214	201	11	by	by	ADP
ejpam-3214	201	12	means	mean	NOUN
ejpam-3214	201	13	of	of	ADP
ejpam-3214	201	14	a	a	DET
ejpam-3214	201	15	new	new	ADJ
ejpam-3214	201	16	generalized	generalized	ADJ
ejpam-3214	201	17	bernstein	bernstein	PROPN
ejpam-3214	201	18	operator	operator	NOUN
ejpam-3214	201	19	,	,	PUNCT
ejpam-3214	201	20	calcolo	calcolo	PROPN
ejpam-3214	201	21	20	20	NUM
ejpam-3214	201	22	:	:	PUNCT
ejpam-3214	201	23	211	211	NUM
ejpam-3214	201	24	-	-	SYM
ejpam-3214	201	25	229	229	NUM
ejpam-3214	201	26	,	,	PUNCT
ejpam-3214	201	27	1983	1983	NUM
ejpam-3214	201	28	.	.	PUNCT
ejpam-3214	202	1	[	[	X
ejpam-3214	202	2	4	4	X
ejpam-3214	202	3	]	]	X
ejpam-3214	202	4	r.b	r.b	PROPN
ejpam-3214	202	5	.	.	PROPN
ejpam-3214	202	6	gandhi	gandhi	PROPN
ejpam-3214	202	7	,	,	PUNCT
ejpam-3214	202	8	deepmala	deepmala	PROPN
ejpam-3214	202	9	,	,	PUNCT
ejpam-3214	202	10	v.n	v.n	PROPN
ejpam-3214	202	11	.	.	PROPN
ejpam-3214	202	12	mishra	mishra	PROPN
ejpam-3214	202	13	,	,	PUNCT
ejpam-3214	202	14	local	local	ADJ
ejpam-3214	202	15	and	and	CCONJ
ejpam-3214	202	16	global	global	ADJ
ejpam-3214	202	17	results	result	NOUN
ejpam-3214	202	18	for	for	ADP
ejpam-3214	202	19	modified	modify	VERB
ejpam-3214	202	20	szászmirakjan	szászmirakjan	PROPN
ejpam-3214	202	21	operators	operator	NOUN
ejpam-3214	202	22	.	.	PUNCT
ejpam-3214	203	1	mathematical	mathematical	ADJ
ejpam-3214	203	2	methods	method	NOUN
ejpam-3214	203	3	in	in	ADP
ejpam-3214	203	4	the	the	DET
ejpam-3214	203	5	applied	apply	VERB
ejpam-3214	203	6	sciences	science	NOUN
ejpam-3214	203	7	,	,	PUNCT
ejpam-3214	203	8	40(7):24912504	40(7):24912504	NUM
ejpam-3214	203	9	,	,	PUNCT
ejpam-3214	203	10	2017	2017	NUM
ejpam-3214	203	11	.	.	PUNCT
ejpam-3214	204	1	[	[	X
ejpam-3214	204	2	5	5	X
ejpam-3214	204	3	]	]	X
ejpam-3214	204	4	o.	o.	PROPN
ejpam-3214	204	5	szász	szász	PROPN
ejpam-3214	204	6	,	,	PUNCT
ejpam-3214	204	7	generalization	generalization	NOUN
ejpam-3214	204	8	of	of	ADP
ejpam-3214	204	9	s.	s.	PROPN
ejpam-3214	204	10	bernstein	bernstein	PROPN
ejpam-3214	204	11	’s	’s	PART
ejpam-3214	204	12	polynomials	polynomial	NOUN
ejpam-3214	204	13	to	to	ADP
ejpam-3214	204	14	the	the	DET
ejpam-3214	204	15	infinite	infinite	ADJ
ejpam-3214	204	16	interval	interval	NOUN
ejpam-3214	204	17	,	,	PUNCT
ejpam-3214	204	18	j.	j.	PROPN
ejpam-3214	204	19	res	res	PROPN
ejpam-3214	204	20	.	.	PUNCT
ejpam-3214	205	1	nat	nat	PROPN
ejpam-3214	205	2	.	.	PUNCT
ejpam-3214	206	1	bur	bur	PROPN
ejpam-3214	206	2	.	.	PROPN
ejpam-3214	206	3	standards	standard	NOUN
ejpam-3214	206	4	sect	sect	NOUN
ejpam-3214	206	5	.	.	PUNCT
ejpam-3214	207	1	b.	b.	PROPN
ejpam-3214	207	2	45:239	45:239	NUM
ejpam-3214	207	3	-	-	PUNCT
ejpam-3214	207	4	245	245	NUM
ejpam-3214	207	5	,	,	PUNCT
ejpam-3214	207	6	1950	1950	NUM
ejpam-3214	207	7	.	.	PUNCT
ejpam-3214	208	1	[	[	X
ejpam-3214	208	2	6	6	NUM
ejpam-3214	208	3	]	]	X
ejpam-3214	208	4	v.	v.	ADP
ejpam-3214	208	5	gupta	gupta	PROPN
ejpam-3214	208	6	,	,	PUNCT
ejpam-3214	208	7	a.	a.	PROPN
ejpam-3214	208	8	aral	aral	PROPN
ejpam-3214	208	9	,	,	PUNCT
ejpam-3214	208	10	convergence	convergence	NOUN
ejpam-3214	208	11	of	of	ADP
ejpam-3214	208	12	the	the	DET
ejpam-3214	208	13	q	q	NOUN
ejpam-3214	208	14	-	-	PUNCT
ejpam-3214	208	15	analogue	analogue	NOUN
ejpam-3214	208	16	of	of	ADP
ejpam-3214	208	17	szász	szász	NOUN
ejpam-3214	208	18	-	-	PUNCT
ejpam-3214	208	19	beta	beta	ADJ
ejpam-3214	208	20	operators	operator	NOUN
ejpam-3214	208	21	,	,	PUNCT
ejpam-3214	208	22	applied	apply	VERB
ejpam-3214	208	23	mathematics	mathematic	NOUN
ejpam-3214	208	24	and	and	CCONJ
ejpam-3214	208	25	computation	computation	NOUN
ejpam-3214	208	26	,	,	PUNCT
ejpam-3214	208	27	216(2):374	216(2):374	NUM
ejpam-3214	208	28	-	-	SYM
ejpam-3214	208	29	380	380	NUM
ejpam-3214	208	30	,	,	PUNCT
ejpam-3214	208	31	2010	2010	NUM
ejpam-3214	208	32	.	.	PUNCT
ejpam-3214	209	1	[	[	X
ejpam-3214	209	2	7	7	X
ejpam-3214	209	3	]	]	X
ejpam-3214	209	4	v.n	v.n	PROPN
ejpam-3214	209	5	.	.	PROPN
ejpam-3214	209	6	mishra	mishra	PROPN
ejpam-3214	209	7	,	,	PUNCT
ejpam-3214	209	8	k.	k.	PROPN
ejpam-3214	209	9	khatri	khatri	PROPN
ejpam-3214	209	10	,	,	PUNCT
ejpam-3214	209	11	l.n	l.n	PROPN
ejpam-3214	209	12	.	.	PROPN
ejpam-3214	209	13	mishra	mishra	PROPN
ejpam-3214	209	14	,	,	PUNCT
ejpam-3214	209	15	deepmala	deepmala	PROPN
ejpam-3214	209	16	;	;	PUNCT
ejpam-3214	209	17	inverse	inverse	NOUN
ejpam-3214	209	18	result	result	NOUN
ejpam-3214	209	19	in	in	ADP
ejpam-3214	209	20	simultaneous	simultaneous	ADJ
ejpam-3214	209	21	approximation	approximation	NOUN
ejpam-3214	209	22	by	by	ADP
ejpam-3214	209	23	baskakov	baskakov	PROPN
ejpam-3214	209	24	-	-	PUNCT
ejpam-3214	209	25	durrmeyer	durrmeyer	NOUN
ejpam-3214	209	26	-	-	PUNCT
ejpam-3214	209	27	stancu	stancu	PROPN
ejpam-3214	209	28	operators	operator	NOUN
ejpam-3214	209	29	,	,	PUNCT
ejpam-3214	209	30	journal	journal	NOUN
ejpam-3214	209	31	of	of	ADP
ejpam-3214	209	32	inequalities	inequality	NOUN
ejpam-3214	209	33	and	and	CCONJ
ejpam-3214	209	34	applications	application	NOUN
ejpam-3214	209	35	,	,	PUNCT
ejpam-3214	209	36	2013	2013	NUM
ejpam-3214	209	37	,	,	PUNCT
ejpam-3214	209	38	2013:586	2013:586	NUM
ejpam-3214	209	39	.	.	PUNCT
ejpam-3214	210	1	[	[	X
ejpam-3214	210	2	8	8	NUM
ejpam-3214	210	3	]	]	X
ejpam-3214	210	4	v.n	v.n	PROPN
ejpam-3214	210	5	.	.	PROPN
ejpam-3214	210	6	mishra	mishra	PROPN
ejpam-3214	210	7	,	,	PUNCT
ejpam-3214	210	8	l.n	l.n	PROPN
ejpam-3214	210	9	.	.	PROPN
ejpam-3214	210	10	mishra	mishra	PROPN
ejpam-3214	210	11	,	,	PUNCT
ejpam-3214	210	12	trigonometric	trigonometric	ADJ
ejpam-3214	210	13	approximation	approximation	NOUN
ejpam-3214	210	14	of	of	ADP
ejpam-3214	210	15	signals	signal	NOUN
ejpam-3214	210	16	(	(	PUNCT
ejpam-3214	210	17	functions	function	NOUN
ejpam-3214	210	18	)	)	PUNCT
ejpam-3214	210	19	in	in	ADP
ejpam-3214	210	20	lp(p	lp(p	NUM
ejpam-3214	210	21	≥	≥	NOUN
ejpam-3214	210	22	1	1	NUM
ejpam-3214	210	23	)	)	PUNCT
ejpam-3214	210	24	norm	norm	NOUN
ejpam-3214	210	25	,	,	PUNCT
ejpam-3214	210	26	international	international	ADJ
ejpam-3214	210	27	journal	journal	NOUN
ejpam-3214	210	28	of	of	ADP
ejpam-3214	210	29	contemporary	contemporary	PROPN
ejpam-3214	210	30	mathematical	mathematical	PROPN
ejpam-3214	210	31	sciences	sciences	PROPN
ejpam-3214	210	32	,	,	PUNCT
ejpam-3214	210	33	7(19):909	7(19):909	NUM
ejpam-3214	210	34	-	-	SYM
ejpam-3214	210	35	918	918	NUM
ejpam-3214	210	36	,	,	PUNCT
ejpam-3214	210	37	2012	2012	NUM
ejpam-3214	210	38	.	.	PUNCT
ejpam-3214	211	1	[	[	X
ejpam-3214	211	2	9	9	NUM
ejpam-3214	211	3	]	]	X
ejpam-3214	211	4	v.n	v.n	PROPN
ejpam-3214	211	5	.	.	PROPN
ejpam-3214	211	6	mishra	mishra	PROPN
ejpam-3214	211	7	,	,	PUNCT
ejpam-3214	211	8	k.	k.	PROPN
ejpam-3214	211	9	khatri	khatri	PROPN
ejpam-3214	211	10	,	,	PUNCT
ejpam-3214	211	11	l.n	l.n	PROPN
ejpam-3214	211	12	.	.	PROPN
ejpam-3214	211	13	mishra	mishra	PROPN
ejpam-3214	211	14	;	;	PUNCT
ejpam-3214	211	15	statistical	statistical	ADJ
ejpam-3214	211	16	approximation	approximation	NOUN
ejpam-3214	211	17	by	by	ADP
ejpam-3214	211	18	kantorovich	kantorovich	PROPN
ejpam-3214	211	19	type	type	NOUN
ejpam-3214	211	20	discrete	discrete	NOUN
ejpam-3214	211	21	q−beta	q−beta	X
ejpam-3214	211	22	operators	operator	NOUN
ejpam-3214	211	23	,	,	PUNCT
ejpam-3214	211	24	advances	advance	NOUN
ejpam-3214	211	25	in	in	ADP
ejpam-3214	211	26	difference	difference	NOUN
ejpam-3214	211	27	equations	equation	NOUN
ejpam-3214	211	28	,	,	PUNCT
ejpam-3214	211	29	2013	2013	NUM
ejpam-3214	211	30	,	,	PUNCT
ejpam-3214	211	31	2013:345	2013:345	NUM
ejpam-3214	211	32	.	.	PUNCT
ejpam-3214	212	1	[	[	X
ejpam-3214	212	2	10	10	NUM
ejpam-3214	212	3	]	]	X
ejpam-3214	212	4	v.n	v.n	PROPN
ejpam-3214	212	5	.	.	PROPN
ejpam-3214	212	6	mishra	mishra	PROPN
ejpam-3214	212	7	,	,	PUNCT
ejpam-3214	212	8	p.	p.	PROPN
ejpam-3214	212	9	sharma	sharma	PROPN
ejpam-3214	212	10	,	,	PUNCT
ejpam-3214	212	11	l.n	l.n	PROPN
ejpam-3214	212	12	.	.	PROPN
ejpam-3214	212	13	mishra	mishra	PROPN
ejpam-3214	212	14	;	;	PUNCT
ejpam-3214	212	15	on	on	ADP
ejpam-3214	212	16	statistical	statistical	ADJ
ejpam-3214	212	17	approximation	approximation	NOUN
ejpam-3214	212	18	properties	property	NOUN
ejpam-3214	212	19	of	of	ADP
ejpam-3214	212	20	q−baskakov	q−baskakov	ADJ
ejpam-3214	212	21	-	-	ADJ
ejpam-3214	212	22	szász	szász	NUM
ejpam-3214	212	23	-	-	PUNCT
ejpam-3214	212	24	stancu	stancu	ADJ
ejpam-3214	212	25	operators	operator	NOUN
ejpam-3214	212	26	,	,	PUNCT
ejpam-3214	212	27	journal	journal	NOUN
ejpam-3214	212	28	of	of	ADP
ejpam-3214	212	29	egyptian	egyptian	PROPN
ejpam-3214	212	30	mathematical	mathematical	PROPN
ejpam-3214	212	31	society	society	NOUN
ejpam-3214	212	32	,	,	PUNCT
ejpam-3214	212	33	24(3):396	24(3):396	NUM
ejpam-3214	212	34	-	-	SYM
ejpam-3214	212	35	401	401	NUM
ejpam-3214	212	36	,	,	PUNCT
ejpam-3214	212	37	2016	2016	NUM
ejpam-3214	212	38	.	.	PUNCT
ejpam-3214	213	1	[	[	X
ejpam-3214	213	2	11	11	NUM
ejpam-3214	213	3	]	]	X
ejpam-3214	213	4	v.n	v.n	PROPN
ejpam-3214	213	5	.	.	PROPN
ejpam-3214	213	6	mishra	mishra	PROPN
ejpam-3214	213	7	,	,	PUNCT
ejpam-3214	213	8	k.	k.	PROPN
ejpam-3214	213	9	khatri	khatri	PROPN
ejpam-3214	213	10	,	,	PUNCT
ejpam-3214	213	11	l.n	l.n	PROPN
ejpam-3214	213	12	.	.	PROPN
ejpam-3214	213	13	mishra	mishra	PROPN
ejpam-3214	213	14	;	;	PUNCT
ejpam-3214	213	15	on	on	ADP
ejpam-3214	213	16	simultaneous	simultaneous	ADJ
ejpam-3214	213	17	approximation	approximation	NOUN
ejpam-3214	213	18	for	for	ADP
ejpam-3214	213	19	baskakovdurrmeyer	baskakovdurrmeyer	NOUN
ejpam-3214	213	20	-	-	PUNCT
ejpam-3214	213	21	stancu	stancu	PROPN
ejpam-3214	213	22	type	type	NOUN
ejpam-3214	213	23	operators	operator	NOUN
ejpam-3214	213	24	,	,	PUNCT
ejpam-3214	213	25	journal	journal	NOUN
ejpam-3214	213	26	of	of	ADP
ejpam-3214	213	27	ultra	ultra	ADJ
ejpam-3214	213	28	scientist	scientist	NOUN
ejpam-3214	213	29	of	of	ADP
ejpam-3214	213	30	physical	physical	ADJ
ejpam-3214	213	31	sciences	science	NOUN
ejpam-3214	213	32	,	,	PUNCT
ejpam-3214	213	33	24(3):567	24(3):567	NUM
ejpam-3214	213	34	-	-	SYM
ejpam-3214	213	35	577	577	NUM
ejpam-3214	213	36	,	,	PUNCT
ejpam-3214	213	37	2012	2012	NUM
ejpam-3214	213	38	.	.	PUNCT
ejpam-3214	214	1	[	[	X
ejpam-3214	214	2	12	12	NUM
ejpam-3214	214	3	]	]	X
ejpam-3214	214	4	v.n	v.n	PROPN
ejpam-3214	214	5	.	.	PROPN
ejpam-3214	214	6	mishra	mishra	PROPN
ejpam-3214	214	7	,	,	PUNCT
ejpam-3214	214	8	h.h	h.h	PROPN
ejpam-3214	214	9	.	.	PROPN
ejpam-3214	214	10	khan	khan	PROPN
ejpam-3214	214	11	,	,	PUNCT
ejpam-3214	214	12	k.	k.	PROPN
ejpam-3214	214	13	khatri	khatri	PROPN
ejpam-3214	214	14	,	,	PUNCT
ejpam-3214	214	15	l.n	l.n	PROPN
ejpam-3214	214	16	.	.	PROPN
ejpam-3214	214	17	mishra	mishra	PROPN
ejpam-3214	214	18	;	;	PUNCT
ejpam-3214	214	19	hypergeometric	hypergeometric	ADJ
ejpam-3214	214	20	representation	representation	NOUN
ejpam-3214	214	21	for	for	ADP
ejpam-3214	214	22	baskakov	baskakov	PROPN
ejpam-3214	214	23	-	-	PUNCT
ejpam-3214	214	24	durrmeyer	durrmeyer	NOUN
ejpam-3214	214	25	-	-	PUNCT
ejpam-3214	214	26	stancu	stancu	NOUN
ejpam-3214	214	27	type	type	NOUN
ejpam-3214	214	28	operators	operator	NOUN
ejpam-3214	214	29	,	,	PUNCT
ejpam-3214	214	30	bulletin	bulletin	NOUN
ejpam-3214	214	31	of	of	ADP
ejpam-3214	214	32	mathematical	mathematical	ADJ
ejpam-3214	214	33	analysis	analysis	NOUN
ejpam-3214	214	34	and	and	CCONJ
ejpam-3214	214	35	applications	application	NOUN
ejpam-3214	214	36	,	,	PUNCT
ejpam-3214	214	37	5(3):18	5(3):18	NUM
ejpam-3214	214	38	-	-	SYM
ejpam-3214	214	39	26	26	NUM
ejpam-3214	214	40	,	,	PUNCT
ejpam-3214	214	41	2013	2013	NUM
ejpam-3214	214	42	.	.	PUNCT
ejpam-3214	215	1	[	[	X
ejpam-3214	215	2	13	13	NUM
ejpam-3214	215	3	]	]	PUNCT
ejpam-3214	215	4	z.	z.	PROPN
ejpam-3214	215	5	walczak	walczak	PROPN
ejpam-3214	215	6	,	,	PUNCT
ejpam-3214	215	7	on	on	ADP
ejpam-3214	215	8	modified	modify	VERB
ejpam-3214	215	9	szász	szász	NOUN
ejpam-3214	215	10	-	-	PUNCT
ejpam-3214	215	11	mirakjan	mirakjan	NOUN
ejpam-3214	215	12	operators	operator	NOUN
ejpam-3214	215	13	,	,	PUNCT
ejpam-3214	215	14	novi	novi	PROPN
ejpam-3214	215	15	sad	sad	PROPN
ejpam-3214	215	16	journal	journal	PROPN
ejpam-3214	215	17	of	of	ADP
ejpam-3214	215	18	mathematics	mathematics	PROPN
ejpam-3214	215	19	33(1):93	33(1):93	PROPN
ejpam-3214	215	20	-	-	PUNCT
ejpam-3214	215	21	107	107	NUM
ejpam-3214	215	22	,	,	PUNCT
ejpam-3214	215	23	2003	2003	NUM
ejpam-3214	215	24	.	.	PUNCT
ejpam-3214	216	1	references	reference	NOUN
ejpam-3214	216	2	409	409	NUM
ejpam-3214	216	3	[	[	X
ejpam-3214	216	4	14	14	NUM
ejpam-3214	216	5	]	]	X
ejpam-3214	216	6	r.a	r.a	PROPN
ejpam-3214	216	7	.	.	PROPN
ejpam-3214	216	8	devore	devore	PROPN
ejpam-3214	216	9	and	and	CCONJ
ejpam-3214	216	10	g.g	g.g	PROPN
ejpam-3214	216	11	.	.	PROPN
ejpam-3214	216	12	lorentz	lorentz	PROPN
ejpam-3214	216	13	,	,	PUNCT
ejpam-3214	216	14	constructive	constructive	ADJ
ejpam-3214	216	15	approximations	approximation	NOUN
ejpam-3214	216	16	,	,	PUNCT
ejpam-3214	216	17	vo	vo	X
ejpam-3214	216	18	.	.	NOUN
ejpam-3214	216	19	303	303	NUM
ejpam-3214	216	20	,	,	PUNCT
ejpam-3214	216	21	springer	springer	NOUN
ejpam-3214	216	22	,	,	PUNCT
ejpam-3214	216	23	berlin	berlin	PROPN
ejpam-3214	216	24	,	,	PUNCT
ejpam-3214	216	25	1993	1993	NUM
ejpam-3214	216	26	.	.	PUNCT
ejpam-3214	217	1	[	[	X
ejpam-3214	217	2	15	15	NUM
ejpam-3214	217	3	]	]	X
ejpam-3214	217	4	a.r	a.r	PROPN
ejpam-3214	217	5	.	.	PROPN
ejpam-3214	217	6	gairola	gairola	PROPN
ejpam-3214	217	7	,	,	PUNCT
ejpam-3214	217	8	deepmala	deepmala	PROPN
ejpam-3214	217	9	,	,	PUNCT
ejpam-3214	217	10	l.n	l.n	PROPN
ejpam-3214	217	11	.	.	PROPN
ejpam-3214	217	12	mishra	mishra	PROPN
ejpam-3214	217	13	,	,	PUNCT
ejpam-3214	217	14	rate	rate	NOUN
ejpam-3214	217	15	of	of	ADP
ejpam-3214	217	16	approximation	approximation	NOUN
ejpam-3214	217	17	by	by	ADP
ejpam-3214	217	18	finite	finite	ADJ
ejpam-3214	217	19	iterates	iterate	NOUN
ejpam-3214	217	20	of	of	ADP
ejpam-3214	217	21	q	q	NOUN
ejpam-3214	217	22	-	-	PUNCT
ejpam-3214	217	23	durrmeyer	durrmeyer	NOUN
ejpam-3214	217	24	operators	operator	NOUN
ejpam-3214	217	25	,	,	PUNCT
ejpam-3214	217	26	proceedings	proceeding	NOUN
ejpam-3214	217	27	of	of	ADP
ejpam-3214	217	28	the	the	DET
ejpam-3214	217	29	national	national	PROPN
ejpam-3214	217	30	academy	academy	PROPN
ejpam-3214	217	31	of	of	ADP
ejpam-3214	217	32	sciences	sciences	PROPN
ejpam-3214	217	33	,	,	PUNCT
ejpam-3214	217	34	india	india	PROPN
ejpam-3214	217	35	section	section	PROPN
ejpam-3214	217	36	a	a	DET
ejpam-3214	217	37	:	:	PUNCT
ejpam-3214	217	38	physical	physical	ADJ
ejpam-3214	217	39	sciences	science	NOUN
ejpam-3214	217	40	,	,	PUNCT
ejpam-3214	217	41	86(2):229	86(2):229	NUM
ejpam-3214	217	42	-	-	SYM
ejpam-3214	217	43	234	234	NUM
ejpam-3214	217	44	,	,	PUNCT
ejpam-3214	217	45	2016	2016	NUM
ejpam-3214	217	46	.	.	PUNCT