id	sid	tid	token	lemma	pos
ejpam-3680	1	1	european	european	PROPN
ejpam-3680	1	2	journal	journal	PROPN
ejpam-3680	1	3	of	of	ADP
ejpam-3680	1	4	pure	pure	ADJ
ejpam-3680	1	5	and	and	CCONJ
ejpam-3680	1	6	applied	apply	VERB
ejpam-3680	1	7	mathematics	mathematic	NOUN
ejpam-3680	1	8	vol	vol	NOUN
ejpam-3680	1	9	.	.	PROPN
ejpam-3680	2	1	13	13	NUM
ejpam-3680	2	2	,	,	PUNCT
ejpam-3680	2	3	no	no	INTJ
ejpam-3680	2	4	.	.	NOUN
ejpam-3680	2	5	5	5	NUM
ejpam-3680	2	6	,	,	PUNCT
ejpam-3680	2	7	2020	2020	NUM
ejpam-3680	2	8	,	,	PUNCT
ejpam-3680	2	9	1088	1088	NUM
ejpam-3680	2	10	-	-	SYM
ejpam-3680	2	11	1096	1096	NUM
ejpam-3680	2	12	issn	issn	PROPN
ejpam-3680	2	13	1307	1307	NUM
ejpam-3680	2	14	-	-	SYM
ejpam-3680	2	15	5543	5543	NUM
ejpam-3680	2	16	–	–	PUNCT
ejpam-3680	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3680	2	18	published	publish	VERB
ejpam-3680	2	19	by	by	ADP
ejpam-3680	2	20	new	new	PROPN
ejpam-3680	2	21	york	york	PROPN
ejpam-3680	2	22	business	business	PROPN
ejpam-3680	2	23	global	global	ADJ
ejpam-3680	2	24	special	special	ADJ
ejpam-3680	2	25	issue	issue	NOUN
ejpam-3680	2	26	dedicated	dedicate	VERB
ejpam-3680	2	27	to	to	ADP
ejpam-3680	2	28	professor	professor	NOUN
ejpam-3680	2	29	hari	hari	PROPN
ejpam-3680	2	30	m.	m.	PROPN
ejpam-3680	2	31	srivastava	srivastava	PROPN
ejpam-3680	2	32	on	on	ADP
ejpam-3680	2	33	the	the	DET
ejpam-3680	2	34	occasion	occasion	NOUN
ejpam-3680	2	35	of	of	ADP
ejpam-3680	2	36	his	his	PRON
ejpam-3680	2	37	80th	80th	ADJ
ejpam-3680	2	38	birthday	birthday	NOUN
ejpam-3680	2	39	generalized	generalize	VERB
ejpam-3680	2	40	nörlund	nörlund	ADV
ejpam-3680	2	41	and	and	CCONJ
ejpam-3680	2	42	nörlund	nörlund	NOUN
ejpam-3680	2	43	-	-	PUNCT
ejpam-3680	2	44	type	type	NOUN
ejpam-3680	2	45	means	mean	NOUN
ejpam-3680	2	46	of	of	ADP
ejpam-3680	2	47	sequences	sequence	NOUN
ejpam-3680	2	48	of	of	ADP
ejpam-3680	2	49	fuzzy	fuzzy	ADJ
ejpam-3680	2	50	numbers	number	NOUN
ejpam-3680	2	51	pradosh	pradosh	VERB
ejpam-3680	2	52	kumar	kumar	PROPN
ejpam-3680	2	53	pattanaik1	pattanaik1	PROPN
ejpam-3680	2	54	,	,	PUNCT
ejpam-3680	2	55	susanta	susanta	VERB
ejpam-3680	2	56	kumar	kumar	PROPN
ejpam-3680	2	57	paikray2	paikray2	PROPN
ejpam-3680	2	58	,	,	PUNCT
ejpam-3680	2	59	bidu	bidu	PROPN
ejpam-3680	2	60	bhusan	bhusan	PROPN
ejpam-3680	2	61	jena2,∗	jena2,∗	PROPN
ejpam-3680	2	62	1	1	NUM
ejpam-3680	2	63	gandhi	gandhi	PROPN
ejpam-3680	2	64	institute	institute	PROPN
ejpam-3680	2	65	of	of	ADP
ejpam-3680	2	66	engineering	engineering	PROPN
ejpam-3680	2	67	and	and	CCONJ
ejpam-3680	2	68	technology	technology	NOUN
ejpam-3680	2	69	university	university	NOUN
ejpam-3680	2	70	,	,	PUNCT
ejpam-3680	2	71	gunupur	gunupur	NOUN
ejpam-3680	2	72	765022	765022	NUM
ejpam-3680	2	73	,	,	PUNCT
ejpam-3680	2	74	odisha	odisha	PROPN
ejpam-3680	2	75	,	,	PUNCT
ejpam-3680	2	76	india	india	PROPN
ejpam-3680	2	77	2	2	NUM
ejpam-3680	2	78	department	department	NOUN
ejpam-3680	2	79	of	of	ADP
ejpam-3680	2	80	mathematics	mathematic	NOUN
ejpam-3680	2	81	,	,	PUNCT
ejpam-3680	2	82	veer	veer	NOUN
ejpam-3680	2	83	surendra	surendra	PROPN
ejpam-3680	2	84	sai	sai	PROPN
ejpam-3680	2	85	university	university	PROPN
ejpam-3680	2	86	of	of	ADP
ejpam-3680	2	87	technology	technology	NOUN
ejpam-3680	2	88	,	,	PUNCT
ejpam-3680	2	89	burla	burla	PROPN
ejpam-3680	2	90	768018	768018	NUM
ejpam-3680	2	91	,	,	PUNCT
ejpam-3680	2	92	odisha	odisha	PROPN
ejpam-3680	2	93	,	,	PUNCT
ejpam-3680	2	94	india	india	PROPN
ejpam-3680	2	95	abstract	abstract	NOUN
ejpam-3680	2	96	.	.	PUNCT
ejpam-3680	3	1	in	in	ADP
ejpam-3680	3	2	this	this	DET
ejpam-3680	3	3	article	article	NOUN
ejpam-3680	3	4	we	we	PRON
ejpam-3680	3	5	study	study	VERB
ejpam-3680	3	6	some	some	DET
ejpam-3680	3	7	properties	property	NOUN
ejpam-3680	3	8	of	of	ADP
ejpam-3680	3	9	generalized	generalized	ADJ
ejpam-3680	3	10	nörlund	nörlund	NOUN
ejpam-3680	3	11	and	and	CCONJ
ejpam-3680	3	12	nörlund	nörlund	NOUN
ejpam-3680	3	13	-	-	PUNCT
ejpam-3680	3	14	type	type	NOUN
ejpam-3680	3	15	means	mean	NOUN
ejpam-3680	3	16	of	of	ADP
ejpam-3680	3	17	sequences	sequence	NOUN
ejpam-3680	3	18	of	of	ADP
ejpam-3680	3	19	fuzzy	fuzzy	ADJ
ejpam-3680	3	20	real	real	ADJ
ejpam-3680	3	21	numbers	number	NOUN
ejpam-3680	3	22	.	.	PUNCT
ejpam-3680	4	1	we	we	PRON
ejpam-3680	4	2	establish	establish	VERB
ejpam-3680	4	3	necessary	necessary	ADJ
ejpam-3680	4	4	and	and	CCONJ
ejpam-3680	4	5	sufficient	sufficient	ADJ
ejpam-3680	4	6	conditions	condition	NOUN
ejpam-3680	4	7	for	for	ADP
ejpam-3680	4	8	our	our	PRON
ejpam-3680	4	9	purposed	purposed	ADJ
ejpam-3680	4	10	methods	method	NOUN
ejpam-3680	4	11	to	to	PART
ejpam-3680	4	12	transform	transform	VERB
ejpam-3680	4	13	convergent	convergent	ADJ
ejpam-3680	4	14	sequences	sequence	NOUN
ejpam-3680	4	15	of	of	ADP
ejpam-3680	4	16	fuzzy	fuzzy	ADJ
ejpam-3680	4	17	real	real	ADJ
ejpam-3680	4	18	numbers	number	NOUN
ejpam-3680	4	19	into	into	ADP
ejpam-3680	4	20	convergent	convergent	ADJ
ejpam-3680	4	21	sequences	sequence	NOUN
ejpam-3680	4	22	of	of	ADP
ejpam-3680	4	23	fuzzy	fuzzy	ADJ
ejpam-3680	4	24	real	real	ADJ
ejpam-3680	4	25	numbers	number	NOUN
ejpam-3680	4	26	which	which	PRON
ejpam-3680	4	27	also	also	ADV
ejpam-3680	4	28	preserve	preserve	VERB
ejpam-3680	4	29	the	the	DET
ejpam-3680	4	30	limit	limit	NOUN
ejpam-3680	4	31	.	.	PUNCT
ejpam-3680	5	1	finally	finally	ADV
ejpam-3680	5	2	,	,	PUNCT
ejpam-3680	5	3	we	we	PRON
ejpam-3680	5	4	establish	establish	VERB
ejpam-3680	5	5	some	some	DET
ejpam-3680	5	6	results	result	NOUN
ejpam-3680	5	7	showing	show	VERB
ejpam-3680	5	8	the	the	DET
ejpam-3680	5	9	connection	connection	NOUN
ejpam-3680	5	10	between	between	ADP
ejpam-3680	5	11	the	the	DET
ejpam-3680	5	12	generalized	generalized	ADJ
ejpam-3680	5	13	nörlund	nörlund	NOUN
ejpam-3680	5	14	and	and	CCONJ
ejpam-3680	5	15	nörlund	nörlund	NOUN
ejpam-3680	5	16	-	-	PUNCT
ejpam-3680	5	17	type	type	NOUN
ejpam-3680	5	18	limits	limit	NOUN
ejpam-3680	5	19	and	and	CCONJ
ejpam-3680	5	20	the	the	DET
ejpam-3680	5	21	usual	usual	ADJ
ejpam-3680	5	22	limits	limit	NOUN
ejpam-3680	5	23	under	under	ADP
ejpam-3680	5	24	slow	slow	ADJ
ejpam-3680	5	25	oscillation	oscillation	NOUN
ejpam-3680	5	26	of	of	ADP
ejpam-3680	5	27	sequences	sequence	NOUN
ejpam-3680	5	28	of	of	ADP
ejpam-3680	5	29	fuzzy	fuzzy	ADJ
ejpam-3680	5	30	real	real	ADJ
ejpam-3680	5	31	numbers	number	NOUN
ejpam-3680	5	32	.	.	PUNCT
ejpam-3680	6	1	2020	2020	NUM
ejpam-3680	6	2	mathematics	mathematic	NOUN
ejpam-3680	6	3	subject	subject	NOUN
ejpam-3680	6	4	classifications	classification	NOUN
ejpam-3680	6	5	:	:	PUNCT
ejpam-3680	6	6	40a05	40a05	NUM
ejpam-3680	6	7	,	,	PUNCT
ejpam-3680	6	8	40g05	40g05	NUM
ejpam-3680	6	9	,	,	PUNCT
ejpam-3680	6	10	03e72	03e72	X
ejpam-3680	6	11	key	key	ADJ
ejpam-3680	6	12	words	word	NOUN
ejpam-3680	6	13	and	and	CCONJ
ejpam-3680	6	14	phrases	phrase	NOUN
ejpam-3680	6	15	:	:	PUNCT
ejpam-3680	6	16	generalized	generalize	VERB
ejpam-3680	6	17	nörlund	nörlund	ADV
ejpam-3680	6	18	mean	mean	VERB
ejpam-3680	6	19	,	,	PUNCT
ejpam-3680	6	20	generalized	generalized	ADJ
ejpam-3680	6	21	riesz	riesz	NOUN
ejpam-3680	6	22	mean	mean	VERB
ejpam-3680	6	23	,	,	PUNCT
ejpam-3680	6	24	fuzzy	fuzzy	ADJ
ejpam-3680	6	25	real	real	ADJ
ejpam-3680	6	26	numbers	number	NOUN
ejpam-3680	6	27	,	,	PUNCT
ejpam-3680	6	28	slow	slow	ADJ
ejpam-3680	6	29	oscillation	oscillation	NOUN
ejpam-3680	6	30	1	1	NUM
ejpam-3680	6	31	.	.	PUNCT
ejpam-3680	7	1	introduction	introduction	NOUN
ejpam-3680	7	2	let	let	VERB
ejpam-3680	7	3	d	d	NOUN
ejpam-3680	7	4	be	be	AUX
ejpam-3680	7	5	the	the	DET
ejpam-3680	7	6	set	set	NOUN
ejpam-3680	7	7	of	of	ADP
ejpam-3680	7	8	all	all	DET
ejpam-3680	7	9	closed	closed	ADJ
ejpam-3680	7	10	and	and	CCONJ
ejpam-3680	7	11	bounded	bound	VERB
ejpam-3680	7	12	intervals	interval	NOUN
ejpam-3680	7	13	on	on	ADP
ejpam-3680	7	14	the	the	DET
ejpam-3680	7	15	real	real	ADJ
ejpam-3680	7	16	line	line	NOUN
ejpam-3680	7	17	r.	r.	PROPN
ejpam-3680	7	18	for	for	ADP
ejpam-3680	7	19	x	x	PROPN
ejpam-3680	7	20	,	,	PUNCT
ejpam-3680	7	21	y	y	PROPN
ejpam-3680	7	22	∈	∈	PROPN
ejpam-3680	8	1	d	d	X
ejpam-3680	8	2	,	,	PUNCT
ejpam-3680	8	3	we	we	PRON
ejpam-3680	8	4	define	define	VERB
ejpam-3680	8	5	d(x	d(x	PROPN
ejpam-3680	8	6	,	,	PUNCT
ejpam-3680	8	7	y	y	PROPN
ejpam-3680	8	8	)	)	PUNCT
ejpam-3680	9	1	=	=	SYM
ejpam-3680	9	2	max(|a1	max(|a1	PROPN
ejpam-3680	9	3	−	−	PROPN
ejpam-3680	9	4	b1|	b1|	PROPN
ejpam-3680	9	5	,	,	PUNCT
ejpam-3680	9	6	|a2	|a2	ADV
ejpam-3680	9	7	−	−	PROPN
ejpam-3680	9	8	b2|	b2|	NOUN
ejpam-3680	9	9	)	)	PUNCT
ejpam-3680	9	10	,	,	PUNCT
ejpam-3680	9	11	∗corresponding	∗corresponde	VERB
ejpam-3680	9	12	author	author	NOUN
ejpam-3680	9	13	.	.	PUNCT
ejpam-3680	10	1	doi	doi	NOUN
ejpam-3680	10	2	:	:	PUNCT
ejpam-3680	10	3	https://doi.org/10.29020/nybg.ejpam.v13i5.3680	https://doi.org/10.29020/nybg.ejpam.v13i5.3680	ADP
ejpam-3680	10	4	email	email	NOUN
ejpam-3680	10	5	addresses	address	NOUN
ejpam-3680	10	6	:	:	PUNCT
ejpam-3680	10	7	pradoshmunna@gmail.com	pradoshmunna@gmail.com	X
ejpam-3680	10	8	(	(	PUNCT
ejpam-3680	10	9	p.	p.	NOUN
ejpam-3680	10	10	k.	k.	PROPN
ejpam-3680	10	11	pattanaik	pattanaik	PROPN
ejpam-3680	10	12	)	)	PUNCT
ejpam-3680	10	13	,	,	PUNCT
ejpam-3680	10	14	skpaikray	skpaikray	VERB
ejpam-3680	10	15	math@vssut.ac.in	math@vssut.ac.in	PROPN
ejpam-3680	10	16	(	(	PUNCT
ejpam-3680	10	17	s.	s.	PROPN
ejpam-3680	10	18	k.	k.	PROPN
ejpam-3680	10	19	paikray	paikray	PROPN
ejpam-3680	10	20	)	)	PUNCT
ejpam-3680	10	21	,	,	PUNCT
ejpam-3680	10	22	bidumath.05@gmail.com	bidumath.05@gmail.com	PROPN
ejpam-3680	10	23	(	(	PUNCT
ejpam-3680	10	24	b.	b.	PROPN
ejpam-3680	10	25	b.	b.	PROPN
ejpam-3680	10	26	jena	jena	PROPN
ejpam-3680	10	27	)	)	PUNCT
ejpam-3680	10	28	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-3680	10	29	1088	1088	NUM
ejpam-3680	10	30	c	c	NOUN
ejpam-3680	10	31	©	©	NOUN
ejpam-3680	10	32	2020	2020	NUM
ejpam-3680	10	33	ejpam	ejpam	VERB
ejpam-3680	10	34	all	all	DET
ejpam-3680	10	35	rights	right	NOUN
ejpam-3680	10	36	reserved	reserve	VERB
ejpam-3680	10	37	.	.	PUNCT
ejpam-3680	11	1	p.	p.	NOUN
ejpam-3680	11	2	k.	k.	PROPN
ejpam-3680	11	3	pattanaik	pattanaik	PROPN
ejpam-3680	11	4	,	,	PUNCT
ejpam-3680	11	5	s.	s.	PROPN
ejpam-3680	11	6	k.	k.	PROPN
ejpam-3680	11	7	paikray	paikray	PROPN
ejpam-3680	11	8	,	,	PUNCT
ejpam-3680	11	9	b.	b.	PROPN
ejpam-3680	11	10	b.	b.	PROPN
ejpam-3680	11	11	jena	jena	PROPN
ejpam-3680	11	12	/	/	SYM
ejpam-3680	11	13	eur	eur	PROPN
ejpam-3680	11	14	.	.	PUNCT
ejpam-3680	12	1	j.	j.	PROPN
ejpam-3680	12	2	pure	pure	PROPN
ejpam-3680	12	3	appl	appl	PROPN
ejpam-3680	12	4	.	.	PROPN
ejpam-3680	12	5	math	math	PROPN
ejpam-3680	12	6	,	,	PUNCT
ejpam-3680	12	7	13	13	NUM
ejpam-3680	12	8	(	(	PUNCT
ejpam-3680	12	9	5	5	NUM
ejpam-3680	12	10	)	)	PUNCT
ejpam-3680	12	11	(	(	PUNCT
ejpam-3680	12	12	2020	2020	NUM
ejpam-3680	12	13	)	)	PUNCT
ejpam-3680	12	14	,	,	PUNCT
ejpam-3680	12	15	1088	1088	NUM
ejpam-3680	12	16	-	-	SYM
ejpam-3680	12	17	1096	1096	NUM
ejpam-3680	12	18	1089	1089	NUM
ejpam-3680	13	1	where	where	SCONJ
ejpam-3680	13	2	x	x	X
ejpam-3680	13	3	=	=	PUNCT
ejpam-3680	14	1	[	[	X
ejpam-3680	14	2	a1	a1	NOUN
ejpam-3680	14	3	,	,	PUNCT
ejpam-3680	14	4	a2	a2	PROPN
ejpam-3680	14	5	]	]	PUNCT
ejpam-3680	14	6	,	,	PUNCT
ejpam-3680	14	7	y	y	PROPN
ejpam-3680	14	8	=	=	PUNCT
ejpam-3680	15	1	[	[	X
ejpam-3680	15	2	b1	b1	NOUN
ejpam-3680	15	3	,	,	PUNCT
ejpam-3680	15	4	b2	b2	NOUN
ejpam-3680	15	5	]	]	PUNCT
ejpam-3680	15	6	.	.	PUNCT
ejpam-3680	16	1	it	it	PRON
ejpam-3680	16	2	is	be	AUX
ejpam-3680	16	3	known	know	VERB
ejpam-3680	16	4	that	that	SCONJ
ejpam-3680	16	5	(	(	PUNCT
ejpam-3680	16	6	d	d	X
ejpam-3680	16	7	,	,	PUNCT
ejpam-3680	16	8	d	d	NOUN
ejpam-3680	16	9	)	)	PUNCT
ejpam-3680	16	10	is	be	AUX
ejpam-3680	16	11	a	a	DET
ejpam-3680	16	12	metric	metric	ADJ
ejpam-3680	16	13	space	space	NOUN
ejpam-3680	16	14	which	which	PRON
ejpam-3680	16	15	is	be	AUX
ejpam-3680	16	16	also	also	ADV
ejpam-3680	16	17	complete	complete	ADJ
ejpam-3680	16	18	.	.	PUNCT
ejpam-3680	17	1	a	a	DET
ejpam-3680	17	2	fuzzy	fuzzy	ADJ
ejpam-3680	17	3	real	real	ADJ
ejpam-3680	17	4	number	number	NOUN
ejpam-3680	17	5	x	x	PUNCT
ejpam-3680	17	6	is	be	AUX
ejpam-3680	17	7	a	a	DET
ejpam-3680	17	8	fuzzy	fuzzy	ADJ
ejpam-3680	17	9	set	set	NOUN
ejpam-3680	17	10	on	on	ADP
ejpam-3680	17	11	r	r	NOUN
ejpam-3680	17	12	,	,	PUNCT
ejpam-3680	17	13	and	and	CCONJ
ejpam-3680	17	14	is	be	AUX
ejpam-3680	17	15	a	a	DET
ejpam-3680	17	16	mapping	mapping	NOUN
ejpam-3680	17	17	x	x	SYM
ejpam-3680	17	18	:	:	PUNCT
ejpam-3680	17	19	r	r	X
ejpam-3680	17	20	→	→	SYM
ejpam-3680	17	21	i	i	PRON
ejpam-3680	17	22	(=	(=	NOUN
ejpam-3680	18	1	[	[	X
ejpam-3680	18	2	0	0	NUM
ejpam-3680	18	3	,	,	PUNCT
ejpam-3680	18	4	1	1	NUM
ejpam-3680	18	5	]	]	PUNCT
ejpam-3680	18	6	)	)	PUNCT
ejpam-3680	18	7	associating	associate	VERB
ejpam-3680	18	8	each	each	DET
ejpam-3680	18	9	real	real	ADJ
ejpam-3680	18	10	number	number	NOUN
ejpam-3680	18	11	r	r	NOUN
ejpam-3680	18	12	with	with	ADP
ejpam-3680	18	13	its	its	PRON
ejpam-3680	18	14	grade	grade	NOUN
ejpam-3680	18	15	of	of	ADP
ejpam-3680	18	16	membership	membership	NOUN
ejpam-3680	18	17	x(r	x(r	PROPN
ejpam-3680	18	18	)	)	PUNCT
ejpam-3680	18	19	.	.	PUNCT
ejpam-3680	19	1	recalling	recall	VERB
ejpam-3680	19	2	some	some	DET
ejpam-3680	19	3	basic	basic	ADJ
ejpam-3680	19	4	terminologies	terminology	NOUN
ejpam-3680	19	5	,	,	PUNCT
ejpam-3680	19	6	a	a	DET
ejpam-3680	19	7	fuzzy	fuzzy	ADJ
ejpam-3680	19	8	real	real	ADJ
ejpam-3680	19	9	number	number	NOUN
ejpam-3680	19	10	x	x	PUNCT
ejpam-3680	19	11	is	be	AUX
ejpam-3680	19	12	called	call	VERB
ejpam-3680	19	13	convex	convex	NOUN
ejpam-3680	19	14	if	if	SCONJ
ejpam-3680	19	15	,	,	PUNCT
ejpam-3680	19	16	x(r	x(r	PROPN
ejpam-3680	19	17	)	)	PUNCT
ejpam-3680	19	18	≥	≥	NOUN
ejpam-3680	19	19	x(s)∧x(t	x(s)∧x(t	NUM
ejpam-3680	19	20	)	)	PUNCT
ejpam-3680	20	1	=	=	SYM
ejpam-3680	20	2	min(x(s	min(x(s	NOUN
ejpam-3680	20	3	)	)	PUNCT
ejpam-3680	20	4	,	,	PUNCT
ejpam-3680	20	5	x(t	x(t	PROPN
ejpam-3680	20	6	)	)	PUNCT
ejpam-3680	20	7	)	)	PUNCT
ejpam-3680	20	8	,	,	PUNCT
ejpam-3680	20	9	where	where	SCONJ
ejpam-3680	20	10	s	s	VERB
ejpam-3680	20	11	<	<	X
ejpam-3680	20	12	r	r	X
ejpam-3680	20	13	<	<	X
ejpam-3680	20	14	t.	t.	X
ejpam-3680	20	15	a	a	DET
ejpam-3680	20	16	fuzzy	fuzzy	ADJ
ejpam-3680	20	17	real	real	ADJ
ejpam-3680	20	18	number	number	NOUN
ejpam-3680	20	19	x	x	PUNCT
ejpam-3680	20	20	is	be	AUX
ejpam-3680	20	21	called	call	VERB
ejpam-3680	20	22	normal	normal	ADJ
ejpam-3680	20	23	if	if	SCONJ
ejpam-3680	20	24	,	,	PUNCT
ejpam-3680	20	25	there	there	PRON
ejpam-3680	20	26	exists	exist	VERB
ejpam-3680	20	27	r0	r0	NOUN
ejpam-3680	20	28	∈	∈	PROPN
ejpam-3680	20	29	r	r	NOUN
ejpam-3680	21	1	such	such	ADJ
ejpam-3680	21	2	that	that	DET
ejpam-3680	21	3	x(r0	x(r0	PROPN
ejpam-3680	21	4	)	)	PUNCT
ejpam-3680	22	1	=	=	SYM
ejpam-3680	22	2	1	1	X
ejpam-3680	22	3	.	.	PUNCT
ejpam-3680	22	4	further	far	ADV
ejpam-3680	22	5	,	,	PUNCT
ejpam-3680	22	6	if	if	SCONJ
ejpam-3680	22	7	for	for	ADP
ejpam-3680	22	8	every	every	DET
ejpam-3680	22	9	ε	ε	PROPN
ejpam-3680	22	10	>	>	X
ejpam-3680	22	11	0	0	PROPN
ejpam-3680	22	12	,	,	PUNCT
ejpam-3680	22	13	x−1([0	x−1([0	PROPN
ejpam-3680	22	14	,	,	PUNCT
ejpam-3680	22	15	a+	a+	X
ejpam-3680	22	16	ε	ε	PROPN
ejpam-3680	22	17	]	]	X
ejpam-3680	22	18	)	)	PUNCT
ejpam-3680	22	19	,	,	PUNCT
ejpam-3680	22	20	for	for	ADP
ejpam-3680	22	21	all	all	DET
ejpam-3680	22	22	a	a	DET
ejpam-3680	22	23	∈	∈	NOUN
ejpam-3680	22	24	i	i	PRON
ejpam-3680	22	25	(	(	PUNCT
ejpam-3680	22	26	is	be	AUX
ejpam-3680	22	27	open	open	ADJ
ejpam-3680	22	28	in	in	ADP
ejpam-3680	22	29	the	the	DET
ejpam-3680	22	30	usual	usual	ADJ
ejpam-3680	22	31	topology	topology	NOUN
ejpam-3680	22	32	of	of	ADP
ejpam-3680	22	33	r	r	NOUN
ejpam-3680	22	34	)	)	PUNCT
ejpam-3680	22	35	then	then	ADV
ejpam-3680	22	36	x	x	VERB
ejpam-3680	22	37	is	be	AUX
ejpam-3680	22	38	called	call	VERB
ejpam-3680	22	39	upper	upper	ADJ
ejpam-3680	22	40	semi	semi	ADJ
ejpam-3680	22	41	-	-	ADJ
ejpam-3680	22	42	continuous	continuous	ADJ
ejpam-3680	22	43	.	.	PUNCT
ejpam-3680	23	1	let	let	AUX
ejpam-3680	23	2	r(i	r(i	NOUN
ejpam-3680	23	3	)	)	PUNCT
ejpam-3680	23	4	denotes	denote	VERB
ejpam-3680	23	5	the	the	DET
ejpam-3680	23	6	set	set	NOUN
ejpam-3680	23	7	of	of	ADP
ejpam-3680	23	8	all	all	DET
ejpam-3680	23	9	convex	convex	NOUN
ejpam-3680	23	10	,	,	PUNCT
ejpam-3680	23	11	upper	upper	ADJ
ejpam-3680	23	12	semi	semi	ADJ
ejpam-3680	23	13	continuous	continuous	ADJ
ejpam-3680	23	14	and	and	CCONJ
ejpam-3680	23	15	normal	normal	ADJ
ejpam-3680	23	16	fuzzy	fuzzy	ADJ
ejpam-3680	23	17	numbers	number	NOUN
ejpam-3680	23	18	,	,	PUNCT
ejpam-3680	23	19	and	and	CCONJ
ejpam-3680	23	20	let	let	VERB
ejpam-3680	23	21	xα	xα	INTJ
ejpam-3680	23	22	(	(	PUNCT
ejpam-3680	23	23	0	0	NUM
ejpam-3680	23	24	<	<	X
ejpam-3680	23	25	α	α	PROPN
ejpam-3680	23	26	≤	≤	NUM
ejpam-3680	23	27	1	1	NUM
ejpam-3680	23	28	)	)	PUNCT
ejpam-3680	23	29	be	be	AUX
ejpam-3680	23	30	the	the	DET
ejpam-3680	23	31	α	α	NOUN
ejpam-3680	23	32	level	level	NOUN
ejpam-3680	23	33	set	set	NOUN
ejpam-3680	23	34	of	of	ADP
ejpam-3680	23	35	x	x	NOUN
ejpam-3680	23	36	,	,	PUNCT
ejpam-3680	23	37	which	which	PRON
ejpam-3680	23	38	is	be	AUX
ejpam-3680	23	39	defined	define	VERB
ejpam-3680	23	40	by	by	ADP
ejpam-3680	23	41	xα	xα	PUNCT
ejpam-3680	24	1	=	=	PUNCT
ejpam-3680	24	2	{	{	PUNCT
ejpam-3680	24	3	r	r	NOUN
ejpam-3680	24	4	∈	∈	NOUN
ejpam-3680	24	5	r	r	NOUN
ejpam-3680	24	6	:	:	PUNCT
ejpam-3680	24	7	x(r	x(r	PROPN
ejpam-3680	24	8	)	)	PUNCT
ejpam-3680	24	9	≥	≥	NOUN
ejpam-3680	24	10	α	α	NOUN
ejpam-3680	24	11	}	}	PUNCT
ejpam-3680	24	12	.	.	PUNCT
ejpam-3680	25	1	also	also	ADV
ejpam-3680	25	2	,	,	PUNCT
ejpam-3680	25	3	for	for	ADP
ejpam-3680	25	4	α	α	NOUN
ejpam-3680	25	5	=	=	SYM
ejpam-3680	25	6	0	0	NUM
ejpam-3680	25	7	,	,	PUNCT
ejpam-3680	25	8	it	it	PRON
ejpam-3680	25	9	is	be	AUX
ejpam-3680	25	10	closure	closure	NOUN
ejpam-3680	25	11	of	of	ADP
ejpam-3680	25	12	the	the	DET
ejpam-3680	25	13	strong	strong	ADJ
ejpam-3680	25	14	0	0	NOUN
ejpam-3680	25	15	-	-	PUNCT
ejpam-3680	25	16	cut	cut	NOUN
ejpam-3680	25	17	.	.	PUNCT
ejpam-3680	26	1	note	note	VERB
ejpam-3680	26	2	that	that	SCONJ
ejpam-3680	26	3	,	,	PUNCT
ejpam-3680	26	4	the	the	DET
ejpam-3680	26	5	set	set	NOUN
ejpam-3680	26	6	of	of	ADP
ejpam-3680	26	7	all	all	DET
ejpam-3680	26	8	numbers	number	NOUN
ejpam-3680	26	9	r	r	NOUN
ejpam-3680	26	10	can	can	AUX
ejpam-3680	26	11	be	be	AUX
ejpam-3680	26	12	embedded	embed	VERB
ejpam-3680	26	13	in	in	ADP
ejpam-3680	26	14	r(i	r(i	NOUN
ejpam-3680	26	15	)	)	PUNCT
ejpam-3680	26	16	.	.	PUNCT
ejpam-3680	27	1	for	for	ADP
ejpam-3680	27	2	each	each	DET
ejpam-3680	27	3	t	t	NOUN
ejpam-3680	27	4	∈	∈	PROPN
ejpam-3680	27	5	r	r	PROPN
ejpam-3680	27	6	,	,	PUNCT
ejpam-3680	27	7	t	t	PROPN
ejpam-3680	27	8	∈	∈	PROPN
ejpam-3680	27	9	r(i	r(i	PROPN
ejpam-3680	27	10	)	)	PUNCT
ejpam-3680	27	11	is	be	AUX
ejpam-3680	27	12	defined	define	VERB
ejpam-3680	27	13	by	by	ADP
ejpam-3680	27	14	t̄(r	t̄(r	ADJ
ejpam-3680	27	15	)	)	PUNCT
ejpam-3680	27	16	=	=	PUNCT
ejpam-3680	28	1			PUNCT
ejpam-3680	28	2	1	1	NUM
ejpam-3680	28	3	,	,	PUNCT
ejpam-3680	28	4	if	if	SCONJ
ejpam-3680	28	5	r	r	NOUN
ejpam-3680	28	6	=	=	SYM
ejpam-3680	28	7	t	t	PROPN
ejpam-3680	28	8	,	,	PUNCT
ejpam-3680	28	9	0	0	NUM
ejpam-3680	28	10	,	,	PUNCT
ejpam-3680	28	11	if	if	SCONJ
ejpam-3680	28	12	r	r	NOUN
ejpam-3680	28	13	6=	6=	PROPN
ejpam-3680	29	1	t.	t.	PROPN
ejpam-3680	29	2	let	let	VERB
ejpam-3680	29	3	d̄	d̄	NOUN
ejpam-3680	29	4	:	:	PUNCT
ejpam-3680	29	5	r(i)×	r(i)×	PROPN
ejpam-3680	29	6	r(i)→	r(i)→	ADJ
ejpam-3680	29	7	r	r	NOUN
ejpam-3680	29	8	be	be	AUX
ejpam-3680	29	9	defined	define	VERB
ejpam-3680	29	10	by	by	ADP
ejpam-3680	29	11	d(x	d(x	PROPN
ejpam-3680	29	12	,	,	PUNCT
ejpam-3680	29	13	y	y	PROPN
ejpam-3680	29	14	)	)	PUNCT
ejpam-3680	30	1	=	=	SYM
ejpam-3680	30	2	sup	sup	NOUN
ejpam-3680	30	3	0≤α≤1	0≤α≤1	PROPN
ejpam-3680	30	4	d(xα	d(xα	PROPN
ejpam-3680	30	5	,	,	PUNCT
ejpam-3680	30	6	y	y	PROPN
ejpam-3680	30	7	α	α	PROPN
ejpam-3680	30	8	)	)	PUNCT
ejpam-3680	30	9	.	.	PUNCT
ejpam-3680	31	1	also	also	ADV
ejpam-3680	31	2	,	,	PUNCT
ejpam-3680	31	3	d	d	PROPN
ejpam-3680	31	4	defines	define	VERB
ejpam-3680	31	5	a	a	DET
ejpam-3680	31	6	metric	metric	NOUN
ejpam-3680	31	7	on	on	ADP
ejpam-3680	31	8	r(i	r(i	NOUN
ejpam-3680	31	9	)	)	PUNCT
ejpam-3680	31	10	.	.	PUNCT
ejpam-3680	32	1	it	it	PRON
ejpam-3680	32	2	is	be	AUX
ejpam-3680	32	3	trivial	trivial	ADJ
ejpam-3680	32	4	that	that	SCONJ
ejpam-3680	32	5	(	(	PUNCT
ejpam-3680	32	6	r(i	r(i	NOUN
ejpam-3680	32	7	)	)	PUNCT
ejpam-3680	32	8	,	,	PUNCT
ejpam-3680	32	9	d	d	X
ejpam-3680	32	10	)	)	PUNCT
ejpam-3680	32	11	is	be	AUX
ejpam-3680	32	12	a	a	DET
ejpam-3680	32	13	metric	metric	ADJ
ejpam-3680	32	14	space	space	NOUN
ejpam-3680	32	15	,	,	PUNCT
ejpam-3680	32	16	and	and	CCONJ
ejpam-3680	32	17	is	be	AUX
ejpam-3680	32	18	complete	complete	ADJ
ejpam-3680	32	19	.	.	PUNCT
ejpam-3680	33	1	here	here	ADV
ejpam-3680	33	2	,	,	PUNCT
ejpam-3680	33	3	0	0	NUM
ejpam-3680	33	4	and	and	CCONJ
ejpam-3680	33	5	1	1	NUM
ejpam-3680	33	6	are	be	AUX
ejpam-3680	33	7	the	the	DET
ejpam-3680	33	8	additive	additive	ADJ
ejpam-3680	33	9	identity	identity	NOUN
ejpam-3680	33	10	and	and	CCONJ
ejpam-3680	33	11	multiplicative	multiplicative	ADJ
ejpam-3680	33	12	identity	identity	NOUN
ejpam-3680	33	13	respectively	respectively	ADV
ejpam-3680	33	14	.	.	PUNCT
ejpam-3680	34	1	the	the	DET
ejpam-3680	34	2	preliminary	preliminary	ADJ
ejpam-3680	34	3	idea	idea	NOUN
ejpam-3680	34	4	of	of	ADP
ejpam-3680	34	5	fuzzy	fuzzy	ADJ
ejpam-3680	34	6	set	set	NOUN
ejpam-3680	34	7	theory	theory	NOUN
ejpam-3680	34	8	was	be	AUX
ejpam-3680	34	9	introduced	introduce	VERB
ejpam-3680	34	10	and	and	CCONJ
ejpam-3680	34	11	studied	study	VERB
ejpam-3680	34	12	by	by	ADP
ejpam-3680	34	13	zadeh	zadeh	PROPN
ejpam-3680	35	1	[	[	X
ejpam-3680	35	2	18	18	NUM
ejpam-3680	35	3	]	]	PUNCT
ejpam-3680	35	4	in	in	ADP
ejpam-3680	35	5	the	the	DET
ejpam-3680	35	6	year	year	NOUN
ejpam-3680	35	7	1965	1965	NUM
ejpam-3680	35	8	.	.	PUNCT
ejpam-3680	36	1	gradually	gradually	ADV
ejpam-3680	36	2	this	this	DET
ejpam-3680	36	3	theory	theory	NOUN
ejpam-3680	36	4	has	have	AUX
ejpam-3680	36	5	entered	enter	VERB
ejpam-3680	36	6	into	into	ADP
ejpam-3680	36	7	many	many	ADJ
ejpam-3680	36	8	diversified	diversified	ADJ
ejpam-3680	36	9	areas	area	NOUN
ejpam-3680	36	10	of	of	ADP
ejpam-3680	36	11	science	science	NOUN
ejpam-3680	36	12	and	and	CCONJ
ejpam-3680	36	13	technology	technology	NOUN
ejpam-3680	36	14	.	.	PUNCT
ejpam-3680	37	1	in	in	ADP
ejpam-3680	37	2	particular	particular	ADJ
ejpam-3680	37	3	,	,	PUNCT
ejpam-3680	37	4	mathematicians	mathematician	NOUN
ejpam-3680	37	5	and	and	CCONJ
ejpam-3680	37	6	researchers	researcher	NOUN
ejpam-3680	37	7	working	work	VERB
ejpam-3680	37	8	on	on	ADP
ejpam-3680	37	9	sequence	sequence	NOUN
ejpam-3680	37	10	spaces	space	NOUN
ejpam-3680	37	11	preferred	prefer	VERB
ejpam-3680	37	12	to	to	PART
ejpam-3680	37	13	use	use	VERB
ejpam-3680	37	14	fuzzy	fuzzy	ADJ
ejpam-3680	37	15	sequences	sequence	NOUN
ejpam-3680	37	16	because	because	SCONJ
ejpam-3680	37	17	of	of	ADP
ejpam-3680	37	18	its	its	PRON
ejpam-3680	37	19	wide	wide	ADJ
ejpam-3680	37	20	applications	application	NOUN
ejpam-3680	37	21	.	.	PUNCT
ejpam-3680	38	1	the	the	DET
ejpam-3680	38	2	scope	scope	NOUN
ejpam-3680	38	3	of	of	ADP
ejpam-3680	38	4	such	such	ADJ
ejpam-3680	38	5	theory	theory	NOUN
ejpam-3680	38	6	has	have	AUX
ejpam-3680	38	7	been	be	AUX
ejpam-3680	38	8	studied	study	VERB
ejpam-3680	38	9	in	in	ADP
ejpam-3680	38	10	the	the	DET
ejpam-3680	38	11	different	different	ADJ
ejpam-3680	38	12	areas	area	NOUN
ejpam-3680	38	13	of	of	ADP
ejpam-3680	38	14	(	(	PUNCT
ejpam-3680	38	15	for	for	ADP
ejpam-3680	38	16	instance	instance	NOUN
ejpam-3680	38	17	)	)	PUNCT
ejpam-3680	38	18	fuzzy	fuzzy	ADJ
ejpam-3680	38	19	logic	logic	NOUN
ejpam-3680	38	20	,	,	PUNCT
ejpam-3680	38	21	fuzzy	fuzzy	ADJ
ejpam-3680	38	22	graph	graph	NOUN
ejpam-3680	38	23	theory	theory	NOUN
ejpam-3680	38	24	,	,	PUNCT
ejpam-3680	38	25	fuzzy	fuzzy	ADJ
ejpam-3680	38	26	topological	topological	ADJ
ejpam-3680	38	27	spaces	space	NOUN
ejpam-3680	38	28	,	,	PUNCT
ejpam-3680	38	29	fuzzy	fuzzy	ADJ
ejpam-3680	38	30	differential	differential	NOUN
ejpam-3680	38	31	equations	equation	NOUN
ejpam-3680	38	32	,	,	PUNCT
ejpam-3680	38	33	fuzzy	fuzzy	ADJ
ejpam-3680	38	34	mathematical	mathematical	ADJ
ejpam-3680	38	35	programming	programming	NOUN
ejpam-3680	38	36	,	,	PUNCT
ejpam-3680	38	37	and	and	CCONJ
ejpam-3680	38	38	so	so	ADV
ejpam-3680	38	39	on	on	ADV
ejpam-3680	38	40	.	.	PUNCT
ejpam-3680	39	1	in	in	ADP
ejpam-3680	39	2	this	this	DET
ejpam-3680	39	3	article	article	NOUN
ejpam-3680	39	4	we	we	PRON
ejpam-3680	39	5	study	study	VERB
ejpam-3680	39	6	the	the	DET
ejpam-3680	39	7	characterization	characterization	NOUN
ejpam-3680	39	8	of	of	ADP
ejpam-3680	39	9	generalized	generalized	ADJ
ejpam-3680	39	10	nörlund	nörlund	NOUN
ejpam-3680	39	11	and	and	CCONJ
ejpam-3680	39	12	nörlund	nörlund	NOUN
ejpam-3680	39	13	-	-	PUNCT
ejpam-3680	39	14	type	type	NOUN
ejpam-3680	39	15	(	(	PUNCT
ejpam-3680	39	16	riesz	riesz	NOUN
ejpam-3680	39	17	)	)	PUNCT
ejpam-3680	39	18	means	mean	NOUN
ejpam-3680	39	19	of	of	ADP
ejpam-3680	39	20	sequences	sequence	NOUN
ejpam-3680	39	21	of	of	ADP
ejpam-3680	39	22	fuzzy	fuzzy	ADJ
ejpam-3680	39	23	real	real	ADJ
ejpam-3680	39	24	numbers	number	NOUN
ejpam-3680	39	25	.	.	PUNCT
ejpam-3680	40	1	2	2	X
ejpam-3680	40	2	.	.	NUM
ejpam-3680	40	3	preliminaries	preliminary	NOUN
ejpam-3680	40	4	and	and	CCONJ
ejpam-3680	40	5	definitions	definition	NOUN
ejpam-3680	40	6	let	let	VERB
ejpam-3680	40	7	(	(	PUNCT
ejpam-3680	40	8	pn	pn	NOUN
ejpam-3680	40	9	)	)	PUNCT
ejpam-3680	40	10	and	and	CCONJ
ejpam-3680	40	11	(	(	PUNCT
ejpam-3680	40	12	qn	qn	INTJ
ejpam-3680	40	13	)	)	PUNCT
ejpam-3680	40	14	be	be	VERB
ejpam-3680	40	15	two	two	NUM
ejpam-3680	40	16	sequences	sequence	NOUN
ejpam-3680	40	17	of	of	ADP
ejpam-3680	40	18	non	non	ADJ
ejpam-3680	40	19	-	-	ADJ
ejpam-3680	40	20	negative	negative	ADJ
ejpam-3680	40	21	real	real	ADJ
ejpam-3680	40	22	numbers	number	NOUN
ejpam-3680	40	23	which	which	PRON
ejpam-3680	40	24	are	be	AUX
ejpam-3680	40	25	not	not	PART
ejpam-3680	40	26	all	all	DET
ejpam-3680	40	27	zero	zero	NUM
ejpam-3680	40	28	,	,	PUNCT
ejpam-3680	40	29	that	that	ADV
ejpam-3680	40	30	is	is	ADV
ejpam-3680	40	31	,	,	PUNCT
ejpam-3680	40	32	pn	pn	PROPN
ejpam-3680	40	33	=	=	SYM
ejpam-3680	40	34	n∑	n∑	PROPN
ejpam-3680	40	35	u=1	u=1	PROPN
ejpam-3680	41	1	pu	pu	PROPN
ejpam-3680	41	2	,	,	PUNCT
ejpam-3680	41	3	n	n	PROPN
ejpam-3680	41	4	∈	∈	PROPN
ejpam-3680	42	1	n	n	ADP
ejpam-3680	42	2	p.	p.	PROPN
ejpam-3680	42	3	k.	k.	PROPN
ejpam-3680	42	4	pattanaik	pattanaik	PROPN
ejpam-3680	42	5	,	,	PUNCT
ejpam-3680	42	6	s.	s.	PROPN
ejpam-3680	42	7	k.	k.	PROPN
ejpam-3680	42	8	paikray	paikray	PROPN
ejpam-3680	42	9	,	,	PUNCT
ejpam-3680	42	10	b.	b.	PROPN
ejpam-3680	42	11	b.	b.	PROPN
ejpam-3680	42	12	jena	jena	PROPN
ejpam-3680	42	13	/	/	SYM
ejpam-3680	42	14	eur	eur	PROPN
ejpam-3680	42	15	.	.	PUNCT
ejpam-3680	43	1	j.	j.	PROPN
ejpam-3680	43	2	pure	pure	PROPN
ejpam-3680	43	3	appl	appl	PROPN
ejpam-3680	43	4	.	.	PROPN
ejpam-3680	43	5	math	math	PROPN
ejpam-3680	43	6	,	,	PUNCT
ejpam-3680	43	7	13	13	NUM
ejpam-3680	43	8	(	(	PUNCT
ejpam-3680	43	9	5	5	NUM
ejpam-3680	43	10	)	)	PUNCT
ejpam-3680	43	11	(	(	PUNCT
ejpam-3680	43	12	2020	2020	NUM
ejpam-3680	43	13	)	)	PUNCT
ejpam-3680	43	14	,	,	PUNCT
ejpam-3680	43	15	1088	1088	NUM
ejpam-3680	43	16	-	-	SYM
ejpam-3680	43	17	1096	1096	NUM
ejpam-3680	43	18	1090	1090	NUM
ejpam-3680	43	19	and	and	CCONJ
ejpam-3680	43	20	qn	qn	NOUN
ejpam-3680	43	21	=	=	PROPN
ejpam-3680	43	22	n∑	n∑	PROPN
ejpam-3680	43	23	u=0	u=0	PROPN
ejpam-3680	43	24	qu	qu	PROPN
ejpam-3680	43	25	,	,	PUNCT
ejpam-3680	43	26	n	n	PROPN
ejpam-3680	43	27	∈	∈	PROPN
ejpam-3680	43	28	n.	n.	NOUN
ejpam-3680	43	29	let	let	VERB
ejpam-3680	43	30	us	we	PRON
ejpam-3680	43	31	consider	consider	VERB
ejpam-3680	43	32	rn	rn	PROPN
ejpam-3680	44	1	=	=	PROPN
ejpam-3680	44	2	n∑	n∑	PROPN
ejpam-3680	44	3	u=0	u=0	PUNCT
ejpam-3680	44	4	puqu	puqu	NOUN
ejpam-3680	44	5	and	and	CCONJ
ejpam-3680	44	6	r	r	NOUN
ejpam-3680	44	7	′	′	NOUN
ejpam-3680	45	1	n	n	NOUN
ejpam-3680	45	2	=	=	SYM
ejpam-3680	45	3	n∑	n∑	NOUN
ejpam-3680	45	4	u=0	u=0	PROPN
ejpam-3680	45	5	pn−uqu	pn−uqu	ADJ
ejpam-3680	45	6	definition	definition	NOUN
ejpam-3680	45	7	1	1	NUM
ejpam-3680	45	8	.	.	PUNCT
ejpam-3680	46	1	a	a	DET
ejpam-3680	46	2	sequence	sequence	NOUN
ejpam-3680	46	3	(	(	PUNCT
ejpam-3680	46	4	xn	xn	PROPN
ejpam-3680	46	5	)	)	PUNCT
ejpam-3680	46	6	of	of	ADP
ejpam-3680	46	7	fuzzy	fuzzy	ADJ
ejpam-3680	46	8	real	real	ADJ
ejpam-3680	46	9	numbers	number	NOUN
ejpam-3680	46	10	is	be	AUX
ejpam-3680	46	11	generalized	generalize	VERB
ejpam-3680	46	12	nörlund	nörlund	NOUN
ejpam-3680	46	13	(	(	PUNCT
ejpam-3680	46	14	n	n	X
ejpam-3680	46	15	,	,	PUNCT
ejpam-3680	46	16	pn	pn	NOUN
ejpam-3680	46	17	,	,	PUNCT
ejpam-3680	46	18	qn	qn	NOUN
ejpam-3680	46	19	)	)	PUNCT
ejpam-3680	46	20	summable	summable	ADJ
ejpam-3680	46	21	to	to	ADP
ejpam-3680	46	22	l	l	NOUN
ejpam-3680	46	23	if	if	SCONJ
ejpam-3680	46	24	,	,	PUNCT
ejpam-3680	46	25	d	d	X
ejpam-3680	46	26	(	(	PUNCT
ejpam-3680	46	27	1	1	NUM
ejpam-3680	46	28	r′n	r′n	NOUN
ejpam-3680	46	29	n∑	n∑	PROPN
ejpam-3680	46	30	u=0	u=0	X
ejpam-3680	46	31	pn−uquxu	pn−uquxu	NOUN
ejpam-3680	46	32	,	,	PUNCT
ejpam-3680	46	33	l	l	NOUN
ejpam-3680	46	34	)	)	PUNCT
ejpam-3680	46	35	→	→	SYM
ejpam-3680	46	36	0	0	NUM
ejpam-3680	46	37	as	as	ADP
ejpam-3680	46	38	n→∞.	n→∞.	ADJ
ejpam-3680	46	39	definition	definition	NOUN
ejpam-3680	46	40	2	2	NUM
ejpam-3680	46	41	.	.	PUNCT
ejpam-3680	47	1	a	a	DET
ejpam-3680	47	2	sequence	sequence	NOUN
ejpam-3680	47	3	(	(	PUNCT
ejpam-3680	47	4	xn	xn	PROPN
ejpam-3680	47	5	)	)	PUNCT
ejpam-3680	47	6	of	of	ADP
ejpam-3680	47	7	real	real	ADJ
ejpam-3680	47	8	numbers	number	NOUN
ejpam-3680	47	9	is	be	AUX
ejpam-3680	47	10	generalized	generalize	VERB
ejpam-3680	47	11	nörlund	nörlund	NOUN
ejpam-3680	47	12	-	-	PUNCT
ejpam-3680	47	13	type	type	NOUN
ejpam-3680	47	14	(	(	PUNCT
ejpam-3680	47	15	n	n	CCONJ
ejpam-3680	47	16	,	,	PUNCT
ejpam-3680	47	17	pn	pn	NOUN
ejpam-3680	47	18	,	,	PUNCT
ejpam-3680	47	19	qn	qn	NOUN
ejpam-3680	47	20	)	)	PUNCT
ejpam-3680	47	21	summable	summable	ADJ
ejpam-3680	47	22	or	or	CCONJ
ejpam-3680	47	23	generalized	generalized	ADJ
ejpam-3680	47	24	riesz	riesz	NOUN
ejpam-3680	47	25	(	(	PUNCT
ejpam-3680	47	26	r	r	NOUN
ejpam-3680	47	27	,	,	PUNCT
ejpam-3680	47	28	pn	pn	NOUN
ejpam-3680	47	29	,	,	PUNCT
ejpam-3680	47	30	qn	qn	NOUN
ejpam-3680	47	31	)	)	PUNCT
ejpam-3680	47	32	summable	summable	ADJ
ejpam-3680	47	33	to	to	ADP
ejpam-3680	47	34	l	l	NOUN
ejpam-3680	47	35	if	if	SCONJ
ejpam-3680	47	36	,	,	PUNCT
ejpam-3680	47	37	d	d	X
ejpam-3680	47	38	(	(	PUNCT
ejpam-3680	47	39	1	1	NUM
ejpam-3680	47	40	rn	rn	PROPN
ejpam-3680	47	41	n∑	n∑	PROPN
ejpam-3680	47	42	u=1	u=1	PROPN
ejpam-3680	47	43	puquxu	puquxu	NOUN
ejpam-3680	47	44	,	,	PUNCT
ejpam-3680	47	45	l	l	NOUN
ejpam-3680	47	46	)	)	PUNCT
ejpam-3680	47	47	→	→	SYM
ejpam-3680	47	48	0	0	NUM
ejpam-3680	47	49	as	as	ADP
ejpam-3680	47	50	n→∞.	n→∞.	ADJ
ejpam-3680	47	51	definition	definition	NOUN
ejpam-3680	47	52	3	3	NUM
ejpam-3680	47	53	.	.	PUNCT
ejpam-3680	48	1	a	a	DET
ejpam-3680	48	2	sequence	sequence	NOUN
ejpam-3680	48	3	(	(	PUNCT
ejpam-3680	48	4	xn	xn	PROPN
ejpam-3680	48	5	)	)	PUNCT
ejpam-3680	48	6	of	of	ADP
ejpam-3680	48	7	fuzzy	fuzzy	ADJ
ejpam-3680	48	8	real	real	ADJ
ejpam-3680	48	9	numbers	number	NOUN
ejpam-3680	48	10	is	be	AUX
ejpam-3680	48	11	slowly	slowly	ADV
ejpam-3680	48	12	oscillating	oscillate	VERB
ejpam-3680	48	13	if	if	SCONJ
ejpam-3680	48	14	,	,	PUNCT
ejpam-3680	48	15	d(xn	d(xn	PROPN
ejpam-3680	48	16	,	,	PUNCT
ejpam-3680	48	17	xm)→	xm)→	X
ejpam-3680	48	18	0	0	PROPN
ejpam-3680	48	19	as	as	ADP
ejpam-3680	48	20	n	n	NUM
ejpam-3680	48	21	,	,	PUNCT
ejpam-3680	48	22	m→∞	m→∞	NOUN
ejpam-3680	48	23	with	with	ADP
ejpam-3680	48	24	1	1	NUM
ejpam-3680	48	25	≤	≤	NOUN
ejpam-3680	48	26	n	n	PRON
ejpam-3680	48	27	m	m	NOUN
ejpam-3680	48	28	→	→	SYM
ejpam-3680	48	29	1	1	NUM
ejpam-3680	48	30	.	.	PUNCT
ejpam-3680	48	31	equivalently	equivalently	ADV
ejpam-3680	48	32	,	,	PUNCT
ejpam-3680	48	33	we	we	PRON
ejpam-3680	48	34	can	can	AUX
ejpam-3680	48	35	say	say	VERB
ejpam-3680	48	36	that	that	PRON
ejpam-3680	48	37	;	;	PUNCT
ejpam-3680	48	38	a	a	DET
ejpam-3680	48	39	sequence	sequence	NOUN
ejpam-3680	48	40	of	of	ADP
ejpam-3680	48	41	fuzzy	fuzzy	ADJ
ejpam-3680	48	42	real	real	ADJ
ejpam-3680	48	43	numbers	number	NOUN
ejpam-3680	48	44	(	(	PUNCT
ejpam-3680	48	45	xn	xn	X
ejpam-3680	48	46	)	)	PUNCT
ejpam-3680	48	47	is	be	AUX
ejpam-3680	48	48	oscillating	oscillate	VERB
ejpam-3680	48	49	slowly	slowly	ADV
ejpam-3680	48	50	iff	iff	NOUN
ejpam-3680	48	51	for	for	ADP
ejpam-3680	48	52	every	every	DET
ejpam-3680	48	53	ε	ε	PROPN
ejpam-3680	48	54	>	>	X
ejpam-3680	48	55	0	0	PROPN
ejpam-3680	48	56	,	,	PUNCT
ejpam-3680	48	57	there	there	PRON
ejpam-3680	48	58	exists	exist	VERB
ejpam-3680	48	59	δ	δ	X
ejpam-3680	48	60	=	=	PUNCT
ejpam-3680	48	61	δ(ε	δ(ε	PROPN
ejpam-3680	48	62	)	)	PUNCT
ejpam-3680	48	63	>	>	X
ejpam-3680	48	64	0	0	PUNCT
ejpam-3680	48	65	and	and	CCONJ
ejpam-3680	48	66	n0(ε	n0(ε	NUM
ejpam-3680	48	67	)	)	PUNCT
ejpam-3680	48	68	∈	∈	PROPN
ejpam-3680	49	1	n	n	PRON
ejpam-3680	49	2	such	such	ADJ
ejpam-3680	50	1	that	that	SCONJ
ejpam-3680	50	2	d(xn	d(xn	PROPN
ejpam-3680	50	3	,	,	PUNCT
ejpam-3680	50	4	xm	xm	PROPN
ejpam-3680	50	5	)	)	PUNCT
ejpam-3680	50	6	<	<	X
ejpam-3680	50	7	ε	ε	PROPN
ejpam-3680	50	8	whenever	whenever	SCONJ
ejpam-3680	50	9	1	1	NUM
ejpam-3680	50	10	≤	≤	NUM
ejpam-3680	50	11	(	(	PUNCT
ejpam-3680	50	12	n	n	NOUN
ejpam-3680	50	13	m	m	VERB
ejpam-3680	50	14	)	)	PUNCT
ejpam-3680	50	15	<	<	X
ejpam-3680	50	16	1	1	NUM
ejpam-3680	50	17	+	+	CCONJ
ejpam-3680	50	18	δ	δ	PROPN
ejpam-3680	50	19	and	and	CCONJ
ejpam-3680	50	20	m	m	PROPN
ejpam-3680	50	21	,	,	PUNCT
ejpam-3680	50	22	n	n	PRON
ejpam-3680	50	23	≥	≥	NOUN
ejpam-3680	50	24	n0(ε	n0(ε	NUM
ejpam-3680	50	25	)	)	PUNCT
ejpam-3680	50	26	.	.	PUNCT
ejpam-3680	51	1	several	several	ADJ
ejpam-3680	51	2	summability	summability	NOUN
ejpam-3680	51	3	methods	method	NOUN
ejpam-3680	51	4	have	have	AUX
ejpam-3680	51	5	been	be	AUX
ejpam-3680	51	6	defined	define	VERB
ejpam-3680	51	7	for	for	ADP
ejpam-3680	51	8	different	different	ADJ
ejpam-3680	51	9	fuzzy	fuzzy	ADJ
ejpam-3680	51	10	numbers	number	NOUN
ejpam-3680	51	11	valued	value	VERB
ejpam-3680	51	12	sequences	sequence	NOUN
ejpam-3680	51	13	.	.	PUNCT
ejpam-3680	52	1	the	the	DET
ejpam-3680	52	2	cesàro	cesàro	ADJ
ejpam-3680	52	3	summability	summability	NOUN
ejpam-3680	52	4	of	of	ADP
ejpam-3680	52	5	order	order	NOUN
ejpam-3680	52	6	one	one	NUM
ejpam-3680	52	7	for	for	ADP
ejpam-3680	52	8	sequences	sequence	NOUN
ejpam-3680	52	9	of	of	ADP
ejpam-3680	52	10	fuzzy	fuzzy	ADJ
ejpam-3680	52	11	real	real	ADJ
ejpam-3680	52	12	numbers	number	NOUN
ejpam-3680	52	13	was	be	AUX
ejpam-3680	52	14	studied	study	VERB
ejpam-3680	52	15	by	by	ADP
ejpam-3680	52	16	altın	altın	PROPN
ejpam-3680	52	17	et	et	PROPN
ejpam-3680	52	18	al	al	PROPN
ejpam-3680	52	19	.	.	PUNCT
ejpam-3680	53	1	[	[	X
ejpam-3680	53	2	1	1	X
ejpam-3680	53	3	]	]	PUNCT
ejpam-3680	53	4	in	in	ADP
ejpam-3680	53	5	the	the	DET
ejpam-3680	53	6	year	year	NOUN
ejpam-3680	53	7	2010	2010	NUM
ejpam-3680	53	8	.	.	PUNCT
ejpam-3680	54	1	in	in	ADP
ejpam-3680	54	2	the	the	DET
ejpam-3680	54	3	year	year	NOUN
ejpam-3680	54	4	2017	2017	NUM
ejpam-3680	54	5	,	,	PUNCT
ejpam-3680	54	6	yavuz	yavuz	PROPN
ejpam-3680	55	1	[	[	X
ejpam-3680	55	2	17	17	NUM
ejpam-3680	55	3	]	]	PUNCT
ejpam-3680	55	4	defined	define	VERB
ejpam-3680	55	5	a	a	DET
ejpam-3680	55	6	euler	euler	NOUN
ejpam-3680	55	7	summability	summability	NOUN
ejpam-3680	55	8	method	method	NOUN
ejpam-3680	55	9	of	of	ADP
ejpam-3680	55	10	sequences	sequence	NOUN
ejpam-3680	55	11	of	of	ADP
ejpam-3680	55	12	fuzzy	fuzzy	ADJ
ejpam-3680	55	13	numbers	number	NOUN
ejpam-3680	55	14	and	and	CCONJ
ejpam-3680	55	15	a	a	DET
ejpam-3680	55	16	proved	proved	ADJ
ejpam-3680	55	17	tauberian	tauberian	NOUN
ejpam-3680	55	18	theorem	theorem	NOUN
ejpam-3680	55	19	.	.	PUNCT
ejpam-3680	56	1	dealing	deal	VERB
ejpam-3680	56	2	with	with	ADP
ejpam-3680	56	3	statistical	statistical	ADJ
ejpam-3680	56	4	summability	summability	NOUN
ejpam-3680	56	5	of	of	ADP
ejpam-3680	56	6	sequences	sequence	NOUN
ejpam-3680	56	7	of	of	ADP
ejpam-3680	56	8	fuzzy	fuzzy	ADJ
ejpam-3680	56	9	numbers	number	NOUN
ejpam-3680	56	10	,	,	PUNCT
ejpam-3680	56	11	in	in	ADP
ejpam-3680	56	12	2016	2016	NUM
ejpam-3680	56	13	,	,	PUNCT
ejpam-3680	56	14	talo	talo	NOUN
ejpam-3680	56	15	and	and	CCONJ
ejpam-3680	56	16	bal	bal	PROPN
ejpam-3680	56	17	[	[	X
ejpam-3680	56	18	13	13	NUM
ejpam-3680	56	19	]	]	PUNCT
ejpam-3680	56	20	studied	study	VERB
ejpam-3680	56	21	some	some	DET
ejpam-3680	56	22	results	result	NOUN
ejpam-3680	56	23	based	base	VERB
ejpam-3680	56	24	on	on	ADP
ejpam-3680	56	25	nörlund	nörlund	NOUN
ejpam-3680	56	26	-	-	PUNCT
ejpam-3680	56	27	type	type	NOUN
ejpam-3680	56	28	means	mean	NOUN
ejpam-3680	56	29	.	.	PUNCT
ejpam-3680	57	1	recently	recently	ADV
ejpam-3680	57	2	,	,	PUNCT
ejpam-3680	57	3	some	some	PRON
ejpam-3680	57	4	works	work	VERB
ejpam-3680	57	5	on	on	ADP
ejpam-3680	57	6	nörlund	nörlund	NOUN
ejpam-3680	57	7	and	and	CCONJ
ejpam-3680	57	8	riesz	riesz	PROPN
ejpam-3680	57	9	means	mean	NOUN
ejpam-3680	57	10	have	have	AUX
ejpam-3680	57	11	been	be	AUX
ejpam-3680	57	12	studied	study	VERB
ejpam-3680	57	13	by	by	ADP
ejpam-3680	57	14	srivastava	srivastava	PROPN
ejpam-3680	57	15	et	et	PROPN
ejpam-3680	57	16	al	al	PROPN
ejpam-3680	57	17	.	.	PUNCT
ejpam-3680	58	1	[	[	X
ejpam-3680	58	2	9	9	NUM
ejpam-3680	58	3	]	]	PUNCT
ejpam-3680	58	4	,	,	PUNCT
ejpam-3680	58	5	[	[	X
ejpam-3680	58	6	10	10	NUM
ejpam-3680	58	7	]	]	PUNCT
ejpam-3680	58	8	,	,	PUNCT
ejpam-3680	58	9	[	[	X
ejpam-3680	58	10	11	11	NUM
ejpam-3680	58	11	]	]	PUNCT
ejpam-3680	58	12	,	,	PUNCT
ejpam-3680	58	13	and	and	CCONJ
ejpam-3680	58	14	[	[	X
ejpam-3680	58	15	12	12	NUM
ejpam-3680	58	16	]	]	PUNCT
ejpam-3680	58	17	based	base	VERB
ejpam-3680	58	18	on	on	ADP
ejpam-3680	58	19	statistical	statistical	ADJ
ejpam-3680	58	20	convergence	convergence	NOUN
ejpam-3680	58	21	.	.	PUNCT
ejpam-3680	59	1	very	very	ADV
ejpam-3680	59	2	recently	recently	ADV
ejpam-3680	59	3	,	,	PUNCT
ejpam-3680	59	4	jena	jena	PROPN
ejpam-3680	59	5	et	et	PROPN
ejpam-3680	59	6	al	al	PROPN
ejpam-3680	59	7	.	.	PUNCT
ejpam-3680	60	1	[	[	X
ejpam-3680	60	2	6	6	NUM
ejpam-3680	60	3	]	]	PUNCT
ejpam-3680	60	4	studied	study	VERB
ejpam-3680	60	5	the	the	DET
ejpam-3680	60	6	cesàro	cesàro	ADJ
ejpam-3680	60	7	summability	summability	NOUN
ejpam-3680	60	8	of	of	ADP
ejpam-3680	60	9	double	double	ADJ
ejpam-3680	60	10	sequences	sequence	NOUN
ejpam-3680	60	11	of	of	ADP
ejpam-3680	60	12	fuzzy	fuzzy	ADJ
ejpam-3680	60	13	real	real	ADJ
ejpam-3680	60	14	numbers	number	NOUN
ejpam-3680	60	15	and	and	CCONJ
ejpam-3680	60	16	proved	prove	VERB
ejpam-3680	60	17	tauberian	tauberian	ADJ
ejpam-3680	60	18	theorems	theorem	NOUN
ejpam-3680	60	19	on	on	ADP
ejpam-3680	60	20	that	that	DET
ejpam-3680	60	21	basis	basis	NOUN
ejpam-3680	60	22	.	.	PUNCT
ejpam-3680	61	1	also	also	ADV
ejpam-3680	61	2	,	,	PUNCT
ejpam-3680	61	3	das	das	PROPN
ejpam-3680	61	4	et	et	PROPN
ejpam-3680	61	5	al	al	PROPN
ejpam-3680	61	6	.	.	PUNCT
ejpam-3680	62	1	[	[	X
ejpam-3680	62	2	2	2	NUM
ejpam-3680	62	3	]	]	PUNCT
ejpam-3680	62	4	used	use	VERB
ejpam-3680	62	5	statistical	statistical	ADJ
ejpam-3680	62	6	(	(	PUNCT
ejpam-3680	62	7	c	c	NOUN
ejpam-3680	62	8	,	,	PUNCT
ejpam-3680	62	9	1)(e,µ	1)(e,µ	NUM
ejpam-3680	62	10	)	)	PUNCT
ejpam-3680	62	11	product	product	NOUN
ejpam-3680	62	12	summability	summability	NOUN
ejpam-3680	62	13	mean	mean	VERB
ejpam-3680	62	14	for	for	SCONJ
ejpam-3680	62	15	sequences	sequence	NOUN
ejpam-3680	62	16	of	of	ADP
ejpam-3680	62	17	fuzzy	fuzzy	ADJ
ejpam-3680	62	18	numbers	number	NOUN
ejpam-3680	62	19	to	to	PART
ejpam-3680	62	20	prove	prove	VERB
ejpam-3680	62	21	a	a	DET
ejpam-3680	62	22	fuzzy	fuzzy	ADJ
ejpam-3680	62	23	korovkin	korovkin	NOUN
ejpam-3680	62	24	-	-	PUNCT
ejpam-3680	62	25	type	type	NOUN
ejpam-3680	62	26	approximation	approximation	NOUN
ejpam-3680	62	27	theorem	theorem	NOUN
ejpam-3680	62	28	.	.	PUNCT
ejpam-3680	63	1	for	for	ADP
ejpam-3680	63	2	more	more	ADJ
ejpam-3680	63	3	studies	study	NOUN
ejpam-3680	63	4	in	in	ADP
ejpam-3680	63	5	this	this	DET
ejpam-3680	63	6	direction	direction	NOUN
ejpam-3680	63	7	one	one	PRON
ejpam-3680	63	8	may	may	AUX
ejpam-3680	63	9	refer	refer	VERB
ejpam-3680	63	10	to	to	ADP
ejpam-3680	63	11	[	[	X
ejpam-3680	63	12	3	3	NUM
ejpam-3680	63	13	]	]	PUNCT
ejpam-3680	63	14	,	,	PUNCT
ejpam-3680	63	15	[	[	X
ejpam-3680	63	16	4	4	NUM
ejpam-3680	63	17	]	]	PUNCT
ejpam-3680	63	18	,	,	PUNCT
ejpam-3680	63	19	[	[	X
ejpam-3680	63	20	5	5	NUM
ejpam-3680	63	21	]	]	PUNCT
ejpam-3680	63	22	,	,	PUNCT
ejpam-3680	63	23	[	[	X
ejpam-3680	63	24	7	7	NUM
ejpam-3680	63	25	]	]	PUNCT
ejpam-3680	63	26	,	,	PUNCT
ejpam-3680	63	27	[	[	X
ejpam-3680	63	28	8	8	NUM
ejpam-3680	63	29	]	]	PUNCT
ejpam-3680	63	30	,	,	PUNCT
ejpam-3680	63	31	[	[	X
ejpam-3680	63	32	14	14	NUM
ejpam-3680	63	33	]	]	PUNCT
ejpam-3680	63	34	,	,	PUNCT
ejpam-3680	63	35	[	[	X
ejpam-3680	63	36	15	15	NUM
ejpam-3680	63	37	]	]	PUNCT
ejpam-3680	63	38	and	and	CCONJ
ejpam-3680	63	39	[	[	X
ejpam-3680	63	40	16	16	NUM
ejpam-3680	63	41	]	]	PUNCT
ejpam-3680	63	42	.	.	PUNCT
ejpam-3680	64	1	motivated	motivate	VERB
ejpam-3680	64	2	essentially	essentially	ADV
ejpam-3680	64	3	by	by	ADP
ejpam-3680	64	4	the	the	DET
ejpam-3680	64	5	above	above	ADJ
ejpam-3680	64	6	mentioned	mention	VERB
ejpam-3680	64	7	works	work	NOUN
ejpam-3680	64	8	,	,	PUNCT
ejpam-3680	64	9	we	we	PRON
ejpam-3680	64	10	investigate	investigate	VERB
ejpam-3680	64	11	here	here	ADV
ejpam-3680	64	12	the	the	DET
ejpam-3680	64	13	characterization	characterization	NOUN
ejpam-3680	64	14	of	of	ADP
ejpam-3680	64	15	generalized	generalized	ADJ
ejpam-3680	64	16	nörlund	nörlund	NOUN
ejpam-3680	64	17	and	and	CCONJ
ejpam-3680	64	18	nörlund	nörlund	NOUN
ejpam-3680	64	19	-	-	PUNCT
ejpam-3680	64	20	type	type	NOUN
ejpam-3680	64	21	(	(	PUNCT
ejpam-3680	64	22	riesz	riesz	NOUN
ejpam-3680	64	23	)	)	PUNCT
ejpam-3680	64	24	means	mean	NOUN
ejpam-3680	64	25	of	of	ADP
ejpam-3680	64	26	sequences	sequence	NOUN
ejpam-3680	64	27	of	of	ADP
ejpam-3680	64	28	fuzzy	fuzzy	ADJ
ejpam-3680	64	29	real	real	ADJ
ejpam-3680	64	30	numbers	number	NOUN
ejpam-3680	64	31	.	.	PUNCT
ejpam-3680	65	1	we	we	PRON
ejpam-3680	65	2	establish	establish	VERB
ejpam-3680	65	3	necessary	necessary	ADJ
ejpam-3680	65	4	and	and	CCONJ
ejpam-3680	65	5	sufficient	sufficient	ADJ
ejpam-3680	65	6	conditions	condition	NOUN
ejpam-3680	65	7	for	for	ADP
ejpam-3680	65	8	our	our	PRON
ejpam-3680	65	9	purposed	purposed	ADJ
ejpam-3680	65	10	methods	method	NOUN
ejpam-3680	65	11	to	to	PART
ejpam-3680	65	12	transform	transform	VERB
ejpam-3680	65	13	convergent	convergent	ADJ
ejpam-3680	65	14	sequences	sequence	NOUN
ejpam-3680	65	15	of	of	ADP
ejpam-3680	65	16	fuzzy	fuzzy	ADJ
ejpam-3680	65	17	real	real	ADJ
ejpam-3680	65	18	numbers	number	NOUN
ejpam-3680	65	19	into	into	ADP
ejpam-3680	65	20	convergent	convergent	ADJ
ejpam-3680	65	21	sequences	sequence	NOUN
ejpam-3680	65	22	of	of	ADP
ejpam-3680	65	23	fuzzy	fuzzy	ADJ
ejpam-3680	65	24	real	real	ADJ
ejpam-3680	65	25	numbers	number	NOUN
ejpam-3680	65	26	which	which	PRON
ejpam-3680	65	27	also	also	ADV
ejpam-3680	65	28	preserve	preserve	VERB
ejpam-3680	65	29	the	the	DET
ejpam-3680	65	30	limit	limit	NOUN
ejpam-3680	65	31	.	.	PUNCT
ejpam-3680	66	1	moreover	moreover	ADV
ejpam-3680	66	2	,	,	PUNCT
ejpam-3680	66	3	we	we	PRON
ejpam-3680	66	4	establish	establish	VERB
ejpam-3680	66	5	some	some	DET
ejpam-3680	66	6	results	result	NOUN
ejpam-3680	66	7	demonstrating	demonstrate	VERB
ejpam-3680	66	8	the	the	DET
ejpam-3680	66	9	connection	connection	NOUN
ejpam-3680	66	10	between	between	ADP
ejpam-3680	66	11	the	the	DET
ejpam-3680	66	12	generalized	generalized	ADJ
ejpam-3680	66	13	nörlund	nörlund	NOUN
ejpam-3680	66	14	and	and	CCONJ
ejpam-3680	66	15	nörlund	nörlund	NOUN
ejpam-3680	66	16	-	-	PUNCT
ejpam-3680	66	17	type	type	NOUN
ejpam-3680	66	18	limit	limit	NOUN
ejpam-3680	66	19	and	and	CCONJ
ejpam-3680	66	20	the	the	DET
ejpam-3680	66	21	usual	usual	ADJ
ejpam-3680	66	22	limit	limit	NOUN
ejpam-3680	66	23	under	under	ADP
ejpam-3680	66	24	slow	slow	ADJ
ejpam-3680	66	25	oscillation	oscillation	NOUN
ejpam-3680	66	26	of	of	ADP
ejpam-3680	66	27	sequences	sequence	NOUN
ejpam-3680	66	28	of	of	ADP
ejpam-3680	66	29	fuzzy	fuzzy	ADJ
ejpam-3680	66	30	real	real	ADJ
ejpam-3680	66	31	numbers	number	NOUN
ejpam-3680	66	32	.	.	PUNCT
ejpam-3680	67	1	p.	p.	NOUN
ejpam-3680	67	2	k.	k.	PROPN
ejpam-3680	67	3	pattanaik	pattanaik	PROPN
ejpam-3680	67	4	,	,	PUNCT
ejpam-3680	67	5	s.	s.	PROPN
ejpam-3680	67	6	k.	k.	PROPN
ejpam-3680	67	7	paikray	paikray	PROPN
ejpam-3680	67	8	,	,	PUNCT
ejpam-3680	67	9	b.	b.	PROPN
ejpam-3680	67	10	b.	b.	PROPN
ejpam-3680	67	11	jena	jena	PROPN
ejpam-3680	67	12	/	/	SYM
ejpam-3680	67	13	eur	eur	PROPN
ejpam-3680	67	14	.	.	PUNCT
ejpam-3680	68	1	j.	j.	PROPN
ejpam-3680	68	2	pure	pure	PROPN
ejpam-3680	68	3	appl	appl	PROPN
ejpam-3680	68	4	.	.	PROPN
ejpam-3680	68	5	math	math	PROPN
ejpam-3680	68	6	,	,	PUNCT
ejpam-3680	68	7	13	13	NUM
ejpam-3680	68	8	(	(	PUNCT
ejpam-3680	68	9	5	5	NUM
ejpam-3680	68	10	)	)	PUNCT
ejpam-3680	68	11	(	(	PUNCT
ejpam-3680	68	12	2020	2020	NUM
ejpam-3680	68	13	)	)	PUNCT
ejpam-3680	68	14	,	,	PUNCT
ejpam-3680	68	15	1088	1088	NUM
ejpam-3680	68	16	-	-	SYM
ejpam-3680	68	17	1096	1096	NUM
ejpam-3680	68	18	1091	1091	NUM
ejpam-3680	68	19	3	3	NUM
ejpam-3680	68	20	.	.	PUNCT
ejpam-3680	68	21	main	main	ADJ
ejpam-3680	68	22	theorem	theorem	NOUN
ejpam-3680	68	23	the	the	DET
ejpam-3680	68	24	objective	objective	NOUN
ejpam-3680	68	25	of	of	ADP
ejpam-3680	68	26	this	this	DET
ejpam-3680	68	27	paper	paper	NOUN
ejpam-3680	68	28	to	to	PART
ejpam-3680	68	29	prove	prove	VERB
ejpam-3680	68	30	the	the	DET
ejpam-3680	68	31	following	follow	VERB
ejpam-3680	68	32	theorem	theorem	VERB
ejpam-3680	68	33	.	.	PUNCT
ejpam-3680	68	34	theorem	theorem	NOUN
ejpam-3680	68	35	1	1	NUM
ejpam-3680	68	36	.	.	PUNCT
ejpam-3680	69	1	the	the	DET
ejpam-3680	69	2	method	method	NOUN
ejpam-3680	69	3	(	(	PUNCT
ejpam-3680	69	4	n	n	CCONJ
ejpam-3680	69	5	,	,	PUNCT
ejpam-3680	69	6	pn	pn	NOUN
ejpam-3680	69	7	,	,	PUNCT
ejpam-3680	69	8	qn	qn	PROPN
ejpam-3680	69	9	)	)	PUNCT
ejpam-3680	69	10	is	be	AUX
ejpam-3680	69	11	regular	regular	ADJ
ejpam-3680	69	12	if	if	SCONJ
ejpam-3680	69	13	and	and	CCONJ
ejpam-3680	69	14	only	only	ADV
ejpam-3680	69	15	if	if	SCONJ
ejpam-3680	69	16	pn−kqk	pn−kqk	NOUN
ejpam-3680	69	17	r′n	r′n	NOUN
ejpam-3680	69	18	→	→	SYM
ejpam-3680	69	19	0	0	NUM
ejpam-3680	69	20	as	as	ADP
ejpam-3680	69	21	n→∞.	n→∞.	ADJ
ejpam-3680	69	22	proof	proof	NOUN
ejpam-3680	69	23	.	.	PUNCT
ejpam-3680	70	1	let	let	AUX
ejpam-3680	70	2	(	(	PUNCT
ejpam-3680	70	3	xn	xn	X
ejpam-3680	70	4	)	)	PUNCT
ejpam-3680	70	5	be	be	VERB
ejpam-3680	70	6	any	any	DET
ejpam-3680	70	7	sequence	sequence	NOUN
ejpam-3680	70	8	of	of	ADP
ejpam-3680	70	9	fuzzy	fuzzy	ADJ
ejpam-3680	70	10	real	real	ADJ
ejpam-3680	70	11	numbers	number	NOUN
ejpam-3680	70	12	which	which	PRON
ejpam-3680	70	13	is	be	AUX
ejpam-3680	70	14	convergent	convergent	ADJ
ejpam-3680	70	15	to	to	ADP
ejpam-3680	70	16	l.	l.	PROPN
ejpam-3680	70	17	that	that	PRON
ejpam-3680	70	18	is	is	ADV
ejpam-3680	70	19	,	,	PUNCT
ejpam-3680	70	20	lim	lim	PROPN
ejpam-3680	70	21	n→∞	n→∞	X
ejpam-3680	70	22	xn	xn	PROPN
ejpam-3680	71	1	=	=	SYM
ejpam-3680	71	2	l	l	NOUN
ejpam-3680	71	3	;	;	PUNCT
ejpam-3680	71	4	then	then	ADV
ejpam-3680	71	5	for	for	ADP
ejpam-3680	71	6	given	give	VERB
ejpam-3680	71	7	ε	ε	PROPN
ejpam-3680	71	8	>	>	X
ejpam-3680	71	9	0	0	PUNCT
ejpam-3680	71	10	there	there	PRON
ejpam-3680	71	11	exists	exist	VERB
ejpam-3680	71	12	a	a	DET
ejpam-3680	71	13	positive	positive	ADJ
ejpam-3680	71	14	integer	integer	NOUN
ejpam-3680	71	15	n0	n0	NOUN
ejpam-3680	71	16	for	for	ADP
ejpam-3680	71	17	which	which	PRON
ejpam-3680	71	18	d(xn	d(xn	PROPN
ejpam-3680	71	19	,	,	PUNCT
ejpam-3680	71	20	l	l	NOUN
ejpam-3680	71	21	)	)	PUNCT
ejpam-3680	71	22	<	<	X
ejpam-3680	71	23	ε	ε	PROPN
ejpam-3680	71	24	for	for	ADP
ejpam-3680	71	25	n	n	PRON
ejpam-3680	71	26	≥	≥	NOUN
ejpam-3680	71	27	n0	n0	NUM
ejpam-3680	71	28	and	and	CCONJ
ejpam-3680	71	29	d(xn	d(xn	PROPN
ejpam-3680	71	30	,	,	PUNCT
ejpam-3680	71	31	l	l	NOUN
ejpam-3680	71	32	)	)	PUNCT
ejpam-3680	71	33	<	<	X
ejpam-3680	71	34	h	h	NOUN
ejpam-3680	71	35	,	,	PUNCT
ejpam-3680	71	36	for	for	ADP
ejpam-3680	71	37	all	all	DET
ejpam-3680	71	38	n	n	PRON
ejpam-3680	71	39	∈	∈	PROPN
ejpam-3680	71	40	n.	n.	NOUN
ejpam-3680	71	41	let	let	VERB
ejpam-3680	71	42	pn−kqk	pn−kqk	NOUN
ejpam-3680	71	43	r′n	r′n	NOUN
ejpam-3680	71	44	→	→	SYM
ejpam-3680	71	45	0	0	NUM
ejpam-3680	71	46	as	as	ADP
ejpam-3680	71	47	n	n	NUM
ejpam-3680	71	48	→	→	SYM
ejpam-3680	71	49	∞	∞	PROPN
ejpam-3680	71	50	,	,	PUNCT
ejpam-3680	71	51	then	then	ADV
ejpam-3680	71	52	for	for	ADP
ejpam-3680	71	53	ε	ε	PROPN
ejpam-3680	71	54	>	>	X
ejpam-3680	71	55	0	0	PUNCT
ejpam-3680	72	1	there	there	PRON
ejpam-3680	72	2	exists	exist	VERB
ejpam-3680	72	3	n1	n1	PROPN
ejpam-3680	72	4	∈	∈	PROPN
ejpam-3680	72	5	n	n	DET
ejpam-3680	72	6	such	such	ADJ
ejpam-3680	72	7	that	that	DET
ejpam-3680	72	8	pn−kqk	pn−kqk	NOUN
ejpam-3680	72	9	r′n	r′n	NOUN
ejpam-3680	72	10	<	<	X
ejpam-3680	72	11	(	(	PUNCT
ejpam-3680	72	12	ε	ε	PROPN
ejpam-3680	72	13	2hmax(n0,n1	2hmax(n0,n1	NUM
ejpam-3680	72	14	)	)	PUNCT
ejpam-3680	72	15	)	)	PUNCT
ejpam-3680	72	16	for	for	ADP
ejpam-3680	72	17	n	n	PROPN
ejpam-3680	72	18	>	>	X
ejpam-3680	72	19	n1	n1	PROPN
ejpam-3680	72	20	.	.	PUNCT
ejpam-3680	73	1	let	let	VERB
ejpam-3680	73	2	n2	n2	NOUN
ejpam-3680	73	3	=	=	SYM
ejpam-3680	73	4	max(n0	max(n0	PROPN
ejpam-3680	73	5	,	,	PUNCT
ejpam-3680	73	6	n1	n1	NOUN
ejpam-3680	73	7	)	)	PUNCT
ejpam-3680	73	8	.	.	PUNCT
ejpam-3680	74	1	then	then	ADV
ejpam-3680	74	2	for	for	ADP
ejpam-3680	74	3	all	all	DET
ejpam-3680	74	4	n	n	PRON
ejpam-3680	74	5	≥	≥	NOUN
ejpam-3680	74	6	n2	n2	NOUN
ejpam-3680	74	7	,	,	PUNCT
ejpam-3680	74	8	we	we	PRON
ejpam-3680	74	9	have	have	VERB
ejpam-3680	74	10	d	d	X
ejpam-3680	74	11	(	(	PUNCT
ejpam-3680	74	12	1	1	NUM
ejpam-3680	74	13	r′n	r′n	NOUN
ejpam-3680	74	14	n∑	n∑	PROPN
ejpam-3680	74	15	i=1	i=1	PROPN
ejpam-3680	74	16	pn−i+1qixi	pn−i+1qixi	PRON
ejpam-3680	74	17	,	,	PUNCT
ejpam-3680	74	18	l	l	NOUN
ejpam-3680	74	19	)	)	PUNCT
ejpam-3680	74	20	≤	≤	NUM
ejpam-3680	75	1	d	d	NOUN
ejpam-3680	75	2	(	(	PUNCT
ejpam-3680	75	3	1	1	NUM
ejpam-3680	75	4	r′n	r′n	NOUN
ejpam-3680	75	5	n2∑	n2∑	PROPN
ejpam-3680	75	6	i=1	i=1	PRON
ejpam-3680	75	7	pn−i+1qixi	pn−i+1qixi	PRON
ejpam-3680	75	8	,	,	PUNCT
ejpam-3680	75	9	l	l	NOUN
ejpam-3680	75	10	)	)	PUNCT
ejpam-3680	76	1	+	+	CCONJ
ejpam-3680	76	2	d	d	X
ejpam-3680	76	3	(	(	PUNCT
ejpam-3680	76	4	1	1	NUM
ejpam-3680	76	5	r′n	r′n	NOUN
ejpam-3680	76	6	n∑	n∑	PROPN
ejpam-3680	76	7	i	i	PROPN
ejpam-3680	76	8	=	=	PROPN
ejpam-3680	76	9	n2	n2	ADJ
ejpam-3680	76	10	+	+	PROPN
ejpam-3680	76	11	1	1	NUM
ejpam-3680	76	12	pn−i+1qixi	pn−i+1qixi	NOUN
ejpam-3680	76	13	,	,	PUNCT
ejpam-3680	76	14	l	l	NOUN
ejpam-3680	76	15	)	)	PUNCT
ejpam-3680	77	1	=	=	PUNCT
ejpam-3680	77	2	d	d	X
ejpam-3680	77	3	(	(	PUNCT
ejpam-3680	77	4	1	1	NUM
ejpam-3680	77	5	r′n	r′n	NOUN
ejpam-3680	77	6	(	(	PUNCT
ejpam-3680	77	7	pnq0x0	pnq0x0	NOUN
ejpam-3680	77	8	+	+	CCONJ
ejpam-3680	77	9	pn−1q1x1	pn−1q1x1	PROPN
ejpam-3680	77	10	+	+	CCONJ
ejpam-3680	77	11	...	...	PUNCT
ejpam-3680	77	12	+	+	CCONJ
ejpam-3680	77	13	pn−n2	pn−n2	ADJ
ejpam-3680	77	14	+	+	NOUN
ejpam-3680	77	15	1qn2−1xn2−1	1qn2−1xn2−1	NOUN
ejpam-3680	77	16	)	)	PUNCT
ejpam-3680	77	17	,	,	PUNCT
ejpam-3680	77	18	l	l	NOUN
ejpam-3680	77	19	)	)	PUNCT
ejpam-3680	78	1	+	+	CCONJ
ejpam-3680	78	2	d	d	X
ejpam-3680	78	3	(	(	PUNCT
ejpam-3680	78	4	1	1	NUM
ejpam-3680	78	5	r′n	r′n	NOUN
ejpam-3680	78	6	(	(	PUNCT
ejpam-3680	78	7	pn−n2qn2xn2	pn−n2qn2xn2	NOUN
ejpam-3680	78	8	+	+	CCONJ
ejpam-3680	78	9	...	...	PUNCT
ejpam-3680	78	10	+	+	CCONJ
ejpam-3680	78	11	p0qnxn	p0qnxn	NOUN
ejpam-3680	78	12	)	)	PUNCT
ejpam-3680	78	13	,	,	PUNCT
ejpam-3680	78	14	l	l	NOUN
ejpam-3680	78	15	)	)	PUNCT
ejpam-3680	78	16	≤	≤	ADJ
ejpam-3680	78	17	pnq0	pnq0	NOUN
ejpam-3680	78	18	r′n	r′n	NOUN
ejpam-3680	78	19	d(x0	d(x0	PROPN
ejpam-3680	78	20	,	,	PUNCT
ejpam-3680	78	21	l	l	NOUN
ejpam-3680	78	22	)	)	PUNCT
ejpam-3680	79	1	+	+	NUM
ejpam-3680	79	2	pn−1q1	pn−1q1	NOUN
ejpam-3680	79	3	r′n	r′n	NOUN
ejpam-3680	79	4	d(x1	d(x1	NOUN
ejpam-3680	79	5	,	,	PUNCT
ejpam-3680	79	6	l	l	NOUN
ejpam-3680	79	7	)	)	PUNCT
ejpam-3680	79	8	+	+	CCONJ
ejpam-3680	79	9	...	...	PUNCT
ejpam-3680	79	10	+	+	CCONJ
ejpam-3680	80	1	pn−n2	pn−n2	ADJ
ejpam-3680	80	2	+	+	ADJ
ejpam-3680	80	3	1qn2−1	1qn2−1	NOUN
ejpam-3680	80	4	r′n	r′n	NOUN
ejpam-3680	80	5	d(xn2−1	d(xn2−1	PROPN
ejpam-3680	80	6	,	,	PUNCT
ejpam-3680	80	7	l	l	NOUN
ejpam-3680	80	8	)	)	PUNCT
ejpam-3680	81	1	+	+	CCONJ
ejpam-3680	81	2	pn−n2qn2	pn−n2qn2	PUNCT
ejpam-3680	81	3	r′n	r′n	NOUN
ejpam-3680	81	4	d(xn2	d(xn2	PROPN
ejpam-3680	81	5	,	,	PUNCT
ejpam-3680	81	6	l	l	NOUN
ejpam-3680	81	7	)	)	PUNCT
ejpam-3680	81	8	+	+	CCONJ
ejpam-3680	81	9	...	...	PUNCT
ejpam-3680	81	10	+	+	CCONJ
ejpam-3680	81	11	p0qn	p0qn	X
ejpam-3680	81	12	r′n	r′n	ADP
ejpam-3680	81	13	d(xn	d(xn	PROPN
ejpam-3680	81	14	,	,	PUNCT
ejpam-3680	81	15	l	l	NOUN
ejpam-3680	81	16	)	)	PUNCT
ejpam-3680	81	17	≤	≤	NUM
ejpam-3680	81	18	ε	ε	PROPN
ejpam-3680	81	19	2hn2	2hn2	NUM
ejpam-3680	81	20	h	h	NOUN
ejpam-3680	81	21	+	+	CCONJ
ejpam-3680	81	22	ε	ε	PROPN
ejpam-3680	81	23	2hn2	2hn2	NUM
ejpam-3680	81	24	h	h	NOUN
ejpam-3680	82	1	+	+	CCONJ
ejpam-3680	82	2	...	...	PUNCT
ejpam-3680	82	3	+	+	CCONJ
ejpam-3680	82	4	ε	ε	PROPN
ejpam-3680	82	5	2hn2	2hn2	NUM
ejpam-3680	82	6	h	h	NOUN
ejpam-3680	82	7	+	+	CCONJ
ejpam-3680	82	8	pn−n2qn2	pn−n2qn2	NOUN
ejpam-3680	82	9	r′n	r′n	NOUN
ejpam-3680	82	10	ε	ε	PROPN
ejpam-3680	82	11	2	2	NUM
ejpam-3680	82	12	+	+	CCONJ
ejpam-3680	82	13	...	...	PUNCT
ejpam-3680	83	1	+	+	CCONJ
ejpam-3680	83	2	p0qn	p0qn	X
ejpam-3680	83	3	r′n	r′n	NOUN
ejpam-3680	83	4	ε	ε	PROPN
ejpam-3680	83	5	2	2	NUM
ejpam-3680	83	6	≤	≤	NOUN
ejpam-3680	83	7	ε	ε	PROPN
ejpam-3680	83	8	2n2	2n2	NUM
ejpam-3680	83	9	+	+	CCONJ
ejpam-3680	83	10	ε	ε	PROPN
ejpam-3680	83	11	2n2	2n2	NUM
ejpam-3680	83	12	+	+	CCONJ
ejpam-3680	83	13	...	...	PUNCT
ejpam-3680	83	14	+	+	CCONJ
ejpam-3680	83	15	ε	ε	PROPN
ejpam-3680	83	16	2n2	2n2	NUM
ejpam-3680	83	17	+	+	CCONJ
ejpam-3680	83	18	pn−n2qn2	pn−n2qn2	X
ejpam-3680	83	19	+	+	CCONJ
ejpam-3680	83	20	...	...	PUNCT
ejpam-3680	83	21	+	+	CCONJ
ejpam-3680	83	22	p0qn	p0qn	X
ejpam-3680	83	23	r′n	r′n	NOUN
ejpam-3680	83	24	ε	ε	PROPN
ejpam-3680	83	25	2	2	NUM
ejpam-3680	83	26	<	<	X
ejpam-3680	83	27	ε	ε	PROPN
ejpam-3680	83	28	2	2	NUM
ejpam-3680	83	29	+	+	CCONJ
ejpam-3680	83	30	ε	ε	PROPN
ejpam-3680	83	31	2	2	NUM
ejpam-3680	83	32	=	=	SYM
ejpam-3680	83	33	ε	ε	PROPN
ejpam-3680	83	34	.	.	PUNCT
ejpam-3680	84	1	conversely	conversely	ADV
ejpam-3680	84	2	,	,	PUNCT
ejpam-3680	84	3	let	let	VERB
ejpam-3680	84	4	(	(	PUNCT
ejpam-3680	84	5	n	n	CCONJ
ejpam-3680	84	6	,	,	PUNCT
ejpam-3680	84	7	pn	pn	NOUN
ejpam-3680	84	8	,	,	PUNCT
ejpam-3680	84	9	qn	qn	PROPN
ejpam-3680	84	10	)	)	PUNCT
ejpam-3680	84	11	be	be	AUX
ejpam-3680	84	12	a	a	DET
ejpam-3680	84	13	regular	regular	ADJ
ejpam-3680	84	14	method	method	NOUN
ejpam-3680	84	15	.	.	PUNCT
ejpam-3680	85	1	consider	consider	VERB
ejpam-3680	85	2	the	the	DET
ejpam-3680	85	3	sequence	sequence	NOUN
ejpam-3680	85	4	ek	ek	NOUN
ejpam-3680	85	5	=	=	PUNCT
ejpam-3680	85	6	(	(	PUNCT
ejpam-3680	85	7	0	0	NUM
ejpam-3680	85	8	,	,	PUNCT
ejpam-3680	85	9	0	0	NUM
ejpam-3680	85	10	,	,	PUNCT
ejpam-3680	85	11	...	...	PUNCT
ejpam-3680	85	12	,	,	PUNCT
ejpam-3680	85	13	1	1	NUM
ejpam-3680	85	14	,	,	PUNCT
ejpam-3680	85	15	0	0	NUM
ejpam-3680	85	16	,	,	PUNCT
ejpam-3680	85	17	0	0	NUM
ejpam-3680	85	18	...	...	PUNCT
ejpam-3680	85	19	)	)	PUNCT
ejpam-3680	86	1	=	=	PUNCT
ejpam-3680	86	2	xn	xn	PROPN
ejpam-3680	86	3	where	where	SCONJ
ejpam-3680	86	4	1	1	NUM
ejpam-3680	86	5	appears	appear	VERB
ejpam-3680	86	6	at	at	ADP
ejpam-3680	86	7	the	the	DET
ejpam-3680	86	8	kth	kth	PROPN
ejpam-3680	86	9	place	place	NOUN
ejpam-3680	86	10	.	.	PUNCT
ejpam-3680	87	1	also	also	ADV
ejpam-3680	87	2	,	,	PUNCT
ejpam-3680	87	3	we	we	PRON
ejpam-3680	87	4	have	have	VERB
ejpam-3680	87	5	xn	xn	PROPN
ejpam-3680	87	6	→	→	SYM
ejpam-3680	87	7	0	0	NUM
ejpam-3680	87	8	as	as	ADP
ejpam-3680	87	9	n→∞.	n→∞.	PROPN
ejpam-3680	87	10	thus	thus	ADV
ejpam-3680	87	11	,	,	PUNCT
ejpam-3680	87	12	d	d	X
ejpam-3680	87	13	(	(	PUNCT
ejpam-3680	87	14	n∑	n∑	INTJ
ejpam-3680	87	15	k=1	k=1	PROPN
ejpam-3680	87	16	pn−k+1qk	pn−k+1qk	VERB
ejpam-3680	87	17	r′n	r′n	NOUN
ejpam-3680	87	18	ēk	ēk	PROPN
ejpam-3680	87	19	,	,	PUNCT
ejpam-3680	87	20	0̄	0̄	NUM
ejpam-3680	87	21	)	)	PUNCT
ejpam-3680	87	22	=	=	SYM
ejpam-3680	87	23	pn−kqn	pn−kqn	ADJ
ejpam-3680	87	24	r′n	r′n	NOUN
ejpam-3680	87	25	→	→	SYM
ejpam-3680	87	26	0	0	NUM
ejpam-3680	87	27	(	(	PUNCT
ejpam-3680	87	28	n→∞	n→∞	NUM
ejpam-3680	87	29	)	)	PUNCT
ejpam-3680	87	30	.	.	PUNCT
ejpam-3680	88	1	theorem	theorem	NOUN
ejpam-3680	88	2	2	2	NUM
ejpam-3680	88	3	.	.	PUNCT
ejpam-3680	89	1	the	the	DET
ejpam-3680	89	2	method	method	NOUN
ejpam-3680	89	3	(	(	PUNCT
ejpam-3680	89	4	r	r	NOUN
ejpam-3680	89	5	,	,	PUNCT
ejpam-3680	89	6	pn	pn	NOUN
ejpam-3680	89	7	,	,	PUNCT
ejpam-3680	89	8	qn	qn	NOUN
ejpam-3680	89	9	)	)	PUNCT
ejpam-3680	89	10	is	be	AUX
ejpam-3680	89	11	regular	regular	ADJ
ejpam-3680	89	12	if	if	SCONJ
ejpam-3680	89	13	and	and	CCONJ
ejpam-3680	89	14	only	only	ADV
ejpam-3680	89	15	if	if	SCONJ
ejpam-3680	89	16	pnqn	pnqn	PROPN
ejpam-3680	89	17	rn	rn	PROPN
ejpam-3680	89	18	→	→	SYM
ejpam-3680	89	19	0	0	PUNCT
ejpam-3680	89	20	as	as	ADP
ejpam-3680	89	21	n→∞.	n→∞.	PROPN
ejpam-3680	89	22	p.	p.	PROPN
ejpam-3680	89	23	k.	k.	PROPN
ejpam-3680	89	24	pattanaik	pattanaik	PROPN
ejpam-3680	89	25	,	,	PUNCT
ejpam-3680	89	26	s.	s.	PROPN
ejpam-3680	89	27	k.	k.	PROPN
ejpam-3680	89	28	paikray	paikray	PROPN
ejpam-3680	89	29	,	,	PUNCT
ejpam-3680	89	30	b.	b.	PROPN
ejpam-3680	89	31	b.	b.	PROPN
ejpam-3680	89	32	jena	jena	PROPN
ejpam-3680	89	33	/	/	SYM
ejpam-3680	89	34	eur	eur	PROPN
ejpam-3680	89	35	.	.	PUNCT
ejpam-3680	90	1	j.	j.	PROPN
ejpam-3680	90	2	pure	pure	PROPN
ejpam-3680	90	3	appl	appl	PROPN
ejpam-3680	90	4	.	.	PROPN
ejpam-3680	90	5	math	math	PROPN
ejpam-3680	90	6	,	,	PUNCT
ejpam-3680	90	7	13	13	NUM
ejpam-3680	90	8	(	(	PUNCT
ejpam-3680	90	9	5	5	NUM
ejpam-3680	90	10	)	)	PUNCT
ejpam-3680	90	11	(	(	PUNCT
ejpam-3680	90	12	2020	2020	NUM
ejpam-3680	90	13	)	)	PUNCT
ejpam-3680	90	14	,	,	PUNCT
ejpam-3680	90	15	1088	1088	NUM
ejpam-3680	90	16	-	-	SYM
ejpam-3680	90	17	1096	1096	NUM
ejpam-3680	90	18	1092	1092	NUM
ejpam-3680	90	19	proof	proof	NOUN
ejpam-3680	90	20	.	.	PUNCT
ejpam-3680	91	1	let	let	AUX
ejpam-3680	91	2	(	(	PUNCT
ejpam-3680	91	3	xn	xn	X
ejpam-3680	91	4	)	)	PUNCT
ejpam-3680	91	5	be	be	VERB
ejpam-3680	91	6	any	any	DET
ejpam-3680	91	7	sequence	sequence	NOUN
ejpam-3680	91	8	of	of	ADP
ejpam-3680	91	9	fuzzy	fuzzy	ADJ
ejpam-3680	91	10	real	real	ADJ
ejpam-3680	91	11	numbers	number	NOUN
ejpam-3680	91	12	which	which	PRON
ejpam-3680	91	13	is	be	AUX
ejpam-3680	91	14	convergent	convergent	ADJ
ejpam-3680	91	15	to	to	ADP
ejpam-3680	91	16	l.	l.	PROPN
ejpam-3680	91	17	that	that	PRON
ejpam-3680	91	18	is	be	AUX
ejpam-3680	91	19	,	,	PUNCT
ejpam-3680	91	20	limn→∞xn	limn→∞xn	PROPN
ejpam-3680	91	21	=	=	SYM
ejpam-3680	91	22	l	l	NOUN
ejpam-3680	91	23	;	;	PUNCT
ejpam-3680	91	24	then	then	ADV
ejpam-3680	91	25	for	for	ADP
ejpam-3680	91	26	given	give	VERB
ejpam-3680	91	27	ε	ε	PROPN
ejpam-3680	91	28	>	>	X
ejpam-3680	91	29	0	0	PUNCT
ejpam-3680	91	30	there	there	PRON
ejpam-3680	91	31	exists	exist	VERB
ejpam-3680	91	32	a	a	DET
ejpam-3680	91	33	positive	positive	ADJ
ejpam-3680	91	34	integer	integer	NOUN
ejpam-3680	91	35	n0	n0	NOUN
ejpam-3680	91	36	for	for	ADP
ejpam-3680	91	37	which	which	PRON
ejpam-3680	91	38	d(xn	d(xn	PROPN
ejpam-3680	91	39	,	,	PUNCT
ejpam-3680	91	40	l	l	NOUN
ejpam-3680	91	41	)	)	PUNCT
ejpam-3680	91	42	<	<	X
ejpam-3680	91	43	ε	ε	PROPN
ejpam-3680	91	44	,	,	PUNCT
ejpam-3680	91	45	for	for	ADP
ejpam-3680	91	46	all	all	DET
ejpam-3680	91	47	n	n	PRON
ejpam-3680	91	48	≥	≥	NOUN
ejpam-3680	91	49	n0	n0	NUM
ejpam-3680	91	50	and	and	CCONJ
ejpam-3680	91	51	d(xn	d(xn	PROPN
ejpam-3680	91	52	,	,	PUNCT
ejpam-3680	91	53	l	l	NOUN
ejpam-3680	91	54	)	)	PUNCT
ejpam-3680	91	55	<	<	X
ejpam-3680	91	56	h	h	PROPN
ejpam-3680	91	57	for	for	ADP
ejpam-3680	91	58	all	all	DET
ejpam-3680	91	59	n	n	PRON
ejpam-3680	91	60	∈	∈	PROPN
ejpam-3680	91	61	n.	n.	NOUN
ejpam-3680	91	62	let	let	VERB
ejpam-3680	91	63	pnqn	pnqn	PROPN
ejpam-3680	91	64	rn	rn	PROPN
ejpam-3680	91	65	→	→	SYM
ejpam-3680	91	66	0	0	PROPN
ejpam-3680	91	67	as	as	ADP
ejpam-3680	91	68	n→∞	n→∞	NUM
ejpam-3680	91	69	,	,	PUNCT
ejpam-3680	91	70	then	then	ADV
ejpam-3680	91	71	there	there	PRON
ejpam-3680	91	72	exists	exist	VERB
ejpam-3680	91	73	n1	n1	PROPN
ejpam-3680	91	74	∈	∈	PROPN
ejpam-3680	91	75	n	n	CCONJ
ejpam-3680	91	76	such	such	ADJ
ejpam-3680	91	77	that	that	SCONJ
ejpam-3680	91	78	pnqn	pnqn	PROPN
ejpam-3680	91	79	rn	rn	PROPN
ejpam-3680	91	80	<	<	X
ejpam-3680	91	81	ε	ε	PROPN
ejpam-3680	91	82	2hmax(n0,n1	2hmax(n0,n1	NUM
ejpam-3680	91	83	)	)	PUNCT
ejpam-3680	91	84	for	for	ADP
ejpam-3680	91	85	all	all	PRON
ejpam-3680	91	86	n	n	PRON
ejpam-3680	91	87	>	>	X
ejpam-3680	91	88	n1	n1	PROPN
ejpam-3680	91	89	.	.	PUNCT
ejpam-3680	92	1	let	let	VERB
ejpam-3680	92	2	n2	n2	NOUN
ejpam-3680	92	3	=	=	SYM
ejpam-3680	92	4	max(n0	max(n0	PROPN
ejpam-3680	92	5	,	,	PUNCT
ejpam-3680	92	6	n1	n1	NOUN
ejpam-3680	92	7	)	)	PUNCT
ejpam-3680	92	8	.	.	PUNCT
ejpam-3680	93	1	then	then	ADV
ejpam-3680	93	2	for	for	ADP
ejpam-3680	93	3	all	all	DET
ejpam-3680	93	4	n	n	PRON
ejpam-3680	93	5	≥	≥	NOUN
ejpam-3680	93	6	n2	n2	NOUN
ejpam-3680	93	7	,	,	PUNCT
ejpam-3680	93	8	we	we	PRON
ejpam-3680	93	9	have	have	VERB
ejpam-3680	93	10	d	d	X
ejpam-3680	93	11	(	(	PUNCT
ejpam-3680	93	12	1	1	NUM
ejpam-3680	93	13	rn	rn	PROPN
ejpam-3680	93	14	n∑	n∑	PROPN
ejpam-3680	93	15	i=0	i=0	PROPN
ejpam-3680	93	16	piqixi	piqixi	X
ejpam-3680	93	17	,	,	PUNCT
ejpam-3680	93	18	l	l	NOUN
ejpam-3680	93	19	)	)	PUNCT
ejpam-3680	93	20	≤	≤	NUM
ejpam-3680	94	1	d	d	X
ejpam-3680	94	2	(	(	PUNCT
ejpam-3680	94	3	1	1	NUM
ejpam-3680	94	4	rn	rn	NOUN
ejpam-3680	94	5	n2∑	n2∑	PROPN
ejpam-3680	94	6	i=0	i=0	ADJ
ejpam-3680	94	7	piqixi	piqixi	ADJ
ejpam-3680	94	8	,	,	PUNCT
ejpam-3680	94	9	l	l	NOUN
ejpam-3680	94	10	)	)	PUNCT
ejpam-3680	95	1	+	+	CCONJ
ejpam-3680	95	2	d	d	X
ejpam-3680	95	3	(	(	PUNCT
ejpam-3680	95	4	1	1	NUM
ejpam-3680	95	5	rn	rn	PROPN
ejpam-3680	95	6	n∑	n∑	PROPN
ejpam-3680	95	7	n2	n2	PROPN
ejpam-3680	95	8	+	+	NOUN
ejpam-3680	95	9	1	1	NUM
ejpam-3680	95	10	piqixi	piqixi	ADJ
ejpam-3680	95	11	,	,	PUNCT
ejpam-3680	95	12	l	l	NOUN
ejpam-3680	95	13	)	)	PUNCT
ejpam-3680	95	14	≤	≤	NUM
ejpam-3680	96	1	d	d	X
ejpam-3680	96	2	(	(	PUNCT
ejpam-3680	96	3	1	1	NUM
ejpam-3680	96	4	rn	rn	PROPN
ejpam-3680	96	5	(	(	PUNCT
ejpam-3680	96	6	p0q0x0	p0q0x0	NOUN
ejpam-3680	96	7	+	+	CCONJ
ejpam-3680	96	8	p1q1x1	p1q1x1	NOUN
ejpam-3680	96	9	+	+	CCONJ
ejpam-3680	96	10	...	...	PUNCT
ejpam-3680	96	11	+	+	CCONJ
ejpam-3680	96	12	pn2qn2xn2	pn2qn2xn2	ADJ
ejpam-3680	96	13	)	)	PUNCT
ejpam-3680	96	14	,	,	PUNCT
ejpam-3680	96	15	l	l	NOUN
ejpam-3680	96	16	)	)	PUNCT
ejpam-3680	97	1	+	+	CCONJ
ejpam-3680	97	2	d	d	X
ejpam-3680	97	3	(	(	PUNCT
ejpam-3680	97	4	1	1	NUM
ejpam-3680	97	5	rn	rn	PROPN
ejpam-3680	97	6	(	(	PUNCT
ejpam-3680	97	7	pn2	pn2	VERB
ejpam-3680	97	8	+	+	NOUN
ejpam-3680	97	9	1qn2	1qn2	ADJ
ejpam-3680	97	10	+	+	ADJ
ejpam-3680	97	11	1xn2	1xn2	NUM
ejpam-3680	97	12	+	+	ADJ
ejpam-3680	97	13	1	1	NUM
ejpam-3680	97	14	+	+	NUM
ejpam-3680	97	15	...	...	PUNCT
ejpam-3680	97	16	+	+	CCONJ
ejpam-3680	97	17	pnqnxn	pnqnxn	NOUN
ejpam-3680	97	18	)	)	PUNCT
ejpam-3680	97	19	,	,	PUNCT
ejpam-3680	97	20	l	l	NOUN
ejpam-3680	97	21	)	)	PUNCT
ejpam-3680	97	22	≤	≤	NUM
ejpam-3680	98	1	p0q0	p0q0	PROPN
ejpam-3680	98	2	rn	rn	PROPN
ejpam-3680	98	3	d(x0	d(x0	PROPN
ejpam-3680	98	4	,	,	PUNCT
ejpam-3680	98	5	l	l	NOUN
ejpam-3680	98	6	)	)	PUNCT
ejpam-3680	98	7	+	+	CCONJ
ejpam-3680	98	8	p1q1	p1q1	PROPN
ejpam-3680	98	9	rn	rn	NOUN
ejpam-3680	98	10	d(x1	d(x1	NOUN
ejpam-3680	98	11	,	,	PUNCT
ejpam-3680	98	12	l	l	NOUN
ejpam-3680	98	13	)	)	PUNCT
ejpam-3680	98	14	+	+	CCONJ
ejpam-3680	98	15	...	...	PUNCT
ejpam-3680	99	1	+	+	CCONJ
ejpam-3680	99	2	pn2qn2	pn2qn2	PROPN
ejpam-3680	99	3	rn	rn	PROPN
ejpam-3680	99	4	d(xn2	d(xn2	PROPN
ejpam-3680	99	5	,	,	PUNCT
ejpam-3680	99	6	l	l	NOUN
ejpam-3680	99	7	)	)	PUNCT
ejpam-3680	99	8	+	+	CCONJ
ejpam-3680	99	9	pn2	pn2	ADJ
ejpam-3680	99	10	+	+	NOUN
ejpam-3680	99	11	1qn2	1qn2	ADJ
ejpam-3680	99	12	+	+	SYM
ejpam-3680	99	13	1	1	NUM
ejpam-3680	99	14	rn	rn	NOUN
ejpam-3680	99	15	d(xn2	d(xn2	PROPN
ejpam-3680	99	16	+	+	PROPN
ejpam-3680	99	17	1	1	NUM
ejpam-3680	99	18	,	,	PUNCT
ejpam-3680	99	19	l	l	NOUN
ejpam-3680	99	20	)	)	PUNCT
ejpam-3680	99	21	+	+	CCONJ
ejpam-3680	99	22	...	...	PUNCT
ejpam-3680	99	23	+	+	NUM
ejpam-3680	99	24	pnqn	pnqn	NOUN
ejpam-3680	99	25	rn	rn	PROPN
ejpam-3680	99	26	d(xn	d(xn	PROPN
ejpam-3680	99	27	,	,	PUNCT
ejpam-3680	99	28	l	l	NOUN
ejpam-3680	99	29	)	)	PUNCT
ejpam-3680	99	30	≤	≤	NUM
ejpam-3680	99	31	p0q0	p0q0	PROPN
ejpam-3680	99	32	rn	rn	PROPN
ejpam-3680	99	33	h	h	PROPN
ejpam-3680	99	34	+	+	CCONJ
ejpam-3680	99	35	p1q1	p1q1	PROPN
ejpam-3680	99	36	rn	rn	PROPN
ejpam-3680	99	37	h	h	PROPN
ejpam-3680	99	38	+	+	CCONJ
ejpam-3680	99	39	...	...	PUNCT
ejpam-3680	100	1	+	+	CCONJ
ejpam-3680	100	2	pn2qn2	pn2qn2	NOUN
ejpam-3680	100	3	rn	rn	PROPN
ejpam-3680	100	4	h	h	PROPN
ejpam-3680	100	5	+	+	CCONJ
ejpam-3680	100	6	pn2	pn2	ADJ
ejpam-3680	100	7	+	+	NOUN
ejpam-3680	100	8	1qn2	1qn2	ADJ
ejpam-3680	100	9	+	+	SYM
ejpam-3680	100	10	1	1	NUM
ejpam-3680	100	11	rn	rn	NOUN
ejpam-3680	100	12	ε	ε	PROPN
ejpam-3680	100	13	2	2	NUM
ejpam-3680	100	14	+	+	CCONJ
ejpam-3680	100	15	...	...	PUNCT
ejpam-3680	101	1	+	+	NUM
ejpam-3680	101	2	pnqn	pnqn	PROPN
ejpam-3680	101	3	rn	rn	PROPN
ejpam-3680	101	4	ε	ε	PROPN
ejpam-3680	101	5	2	2	NUM
ejpam-3680	101	6	≤	≤	X
ejpam-3680	101	7	ε	ε	PROPN
ejpam-3680	101	8	2hn2	2hn2	NUM
ejpam-3680	101	9	h	h	NOUN
ejpam-3680	101	10	+	+	CCONJ
ejpam-3680	101	11	ε	ε	PROPN
ejpam-3680	101	12	2hn2	2hn2	NUM
ejpam-3680	101	13	h	h	NOUN
ejpam-3680	101	14	+	+	CCONJ
ejpam-3680	101	15	...	...	PUNCT
ejpam-3680	102	1	+	+	CCONJ
ejpam-3680	102	2	ε	ε	PROPN
ejpam-3680	102	3	2hn2	2hn2	NUM
ejpam-3680	102	4	h	h	NOUN
ejpam-3680	103	1	+	+	CCONJ
ejpam-3680	103	2	pn2	pn2	PROPN
ejpam-3680	103	3	qn−n2	qn−n2	PROPN
ejpam-3680	104	1	+	+	PROPN
ejpam-3680	104	2	....	....	PUNCT
ejpam-3680	104	3	+	+	CCONJ
ejpam-3680	104	4	pnq0	pnq0	PROPN
ejpam-3680	104	5	rn	rn	PROPN
ejpam-3680	104	6	ε	ε	PROPN
ejpam-3680	104	7	2	2	NUM
ejpam-3680	104	8	<	<	X
ejpam-3680	104	9	ε	ε	PROPN
ejpam-3680	104	10	2	2	NUM
ejpam-3680	104	11	+	+	CCONJ
ejpam-3680	104	12	ε	ε	PROPN
ejpam-3680	104	13	2	2	NUM
ejpam-3680	104	14	=	=	SYM
ejpam-3680	104	15	ε	ε	PROPN
ejpam-3680	104	16	.	.	PUNCT
ejpam-3680	105	1	conversely	conversely	ADV
ejpam-3680	105	2	,	,	PUNCT
ejpam-3680	105	3	let	let	VERB
ejpam-3680	105	4	(	(	PUNCT
ejpam-3680	105	5	r	r	NOUN
ejpam-3680	105	6	,	,	PUNCT
ejpam-3680	105	7	pn	pn	NOUN
ejpam-3680	105	8	,	,	PUNCT
ejpam-3680	105	9	qn	qn	NOUN
ejpam-3680	105	10	)	)	PUNCT
ejpam-3680	105	11	be	be	VERB
ejpam-3680	105	12	regular	regular	ADJ
ejpam-3680	105	13	.	.	PUNCT
ejpam-3680	106	1	consider	consider	VERB
ejpam-3680	106	2	the	the	DET
ejpam-3680	106	3	sequence	sequence	NOUN
ejpam-3680	106	4	ek	ek	NOUN
ejpam-3680	106	5	=	=	PUNCT
ejpam-3680	106	6	(	(	PUNCT
ejpam-3680	106	7	0	0	NUM
ejpam-3680	106	8	,	,	PUNCT
ejpam-3680	106	9	0	0	NUM
ejpam-3680	106	10	,	,	PUNCT
ejpam-3680	106	11	.....	.....	PUNCT
ejpam-3680	106	12	,	,	PUNCT
ejpam-3680	106	13	1	1	NUM
ejpam-3680	106	14	,	,	PUNCT
ejpam-3680	106	15	0	0	NUM
ejpam-3680	106	16	,	,	PUNCT
ejpam-3680	106	17	...	...	PUNCT
ejpam-3680	106	18	)	)	PUNCT
ejpam-3680	107	1	=	=	SYM
ejpam-3680	107	2	xn	xn	PROPN
ejpam-3680	107	3	,	,	PUNCT
ejpam-3680	107	4	where	where	SCONJ
ejpam-3680	107	5	1	1	NUM
ejpam-3680	107	6	appears	appear	VERB
ejpam-3680	107	7	at	at	ADP
ejpam-3680	107	8	the	the	DET
ejpam-3680	107	9	kth	kth	PROPN
ejpam-3680	107	10	place	place	NOUN
ejpam-3680	107	11	.	.	PUNCT
ejpam-3680	108	1	also	also	ADV
ejpam-3680	108	2	,	,	PUNCT
ejpam-3680	108	3	we	we	PRON
ejpam-3680	108	4	have	have	VERB
ejpam-3680	108	5	xn	xn	PROPN
ejpam-3680	108	6	→	→	SYM
ejpam-3680	108	7	0	0	NUM
ejpam-3680	108	8	as	as	ADP
ejpam-3680	108	9	n→∞.	n→∞.	PROPN
ejpam-3680	108	10	thus	thus	ADV
ejpam-3680	108	11	,	,	PUNCT
ejpam-3680	108	12	d	d	X
ejpam-3680	108	13	(	(	PUNCT
ejpam-3680	108	14	n∑	n∑	INTJ
ejpam-3680	108	15	k=1	k=1	PROPN
ejpam-3680	108	16	pnqn	pnqn	PROPN
ejpam-3680	108	17	rn	rn	PROPN
ejpam-3680	108	18	ēk	ēk	PROPN
ejpam-3680	108	19	,	,	PUNCT
ejpam-3680	108	20	0̄	0̄	NUM
ejpam-3680	108	21	)	)	PUNCT
ejpam-3680	109	1	=	=	SYM
ejpam-3680	109	2	pnqn	pnqn	PROPN
ejpam-3680	109	3	rn	rn	PROPN
ejpam-3680	109	4	→	→	SYM
ejpam-3680	109	5	0	0	PUNCT
ejpam-3680	109	6	as	as	SCONJ
ejpam-3680	109	7	n→∞.	n→∞.	NUM
ejpam-3680	109	8	theorem	theorem	VERB
ejpam-3680	109	9	3	3	X
ejpam-3680	109	10	.	.	PUNCT
ejpam-3680	110	1	if	if	SCONJ
ejpam-3680	110	2	(	(	PUNCT
ejpam-3680	110	3	xn	xn	X
ejpam-3680	110	4	)	)	PUNCT
ejpam-3680	110	5	is	be	AUX
ejpam-3680	110	6	(	(	PUNCT
ejpam-3680	110	7	n	n	X
ejpam-3680	110	8	,	,	PUNCT
ejpam-3680	110	9	pn	pn	NOUN
ejpam-3680	110	10	,	,	PUNCT
ejpam-3680	110	11	qn	qn	NOUN
ejpam-3680	110	12	)	)	PUNCT
ejpam-3680	110	13	summable	summable	ADJ
ejpam-3680	110	14	to	to	ADP
ejpam-3680	110	15	l	l	NOUN
ejpam-3680	110	16	in	in	ADP
ejpam-3680	110	17	r(i	r(i	NOUN
ejpam-3680	110	18	)	)	PUNCT
ejpam-3680	110	19	and	and	CCONJ
ejpam-3680	110	20	slowly	slowly	ADV
ejpam-3680	110	21	oscillating	oscillate	VERB
ejpam-3680	110	22	then	then	ADV
ejpam-3680	110	23	it	it	PRON
ejpam-3680	110	24	is	be	AUX
ejpam-3680	110	25	convergent	convergent	ADJ
ejpam-3680	110	26	to	to	ADP
ejpam-3680	110	27	l	l	NOUN
ejpam-3680	110	28	in	in	ADP
ejpam-3680	110	29	r(i	r(i	NOUN
ejpam-3680	110	30	)	)	PUNCT
ejpam-3680	110	31	.	.	PUNCT
ejpam-3680	111	1	proof	proof	NOUN
ejpam-3680	111	2	.	.	PUNCT
ejpam-3680	112	1	without	without	ADP
ejpam-3680	112	2	loss	loss	NOUN
ejpam-3680	112	3	of	of	ADP
ejpam-3680	112	4	generality	generality	NOUN
ejpam-3680	112	5	we	we	PRON
ejpam-3680	112	6	may	may	AUX
ejpam-3680	112	7	assume	assume	VERB
ejpam-3680	112	8	that	that	SCONJ
ejpam-3680	112	9	l	l	NOUN
ejpam-3680	112	10	=	=	SYM
ejpam-3680	112	11	0	0	X
ejpam-3680	112	12	.	.	PUNCT
ejpam-3680	112	13	suppose	suppose	VERB
ejpam-3680	112	14	that	that	SCONJ
ejpam-3680	112	15	limn→∞	limn→∞	PROPN
ejpam-3680	112	16	d(xn	d(xn	X
ejpam-3680	112	17	,	,	PUNCT
ejpam-3680	112	18	0	0	NUM
ejpam-3680	112	19	)	)	PUNCT
ejpam-3680	112	20	>	>	X
ejpam-3680	113	1	0	0	X
ejpam-3680	113	2	.	.	PUNCT
ejpam-3680	114	1	then	then	ADV
ejpam-3680	114	2	there	there	PRON
ejpam-3680	114	3	exists	exist	VERB
ejpam-3680	114	4	α	α	PROPN
ejpam-3680	114	5	>	>	X
ejpam-3680	114	6	0	0	PUNCT
ejpam-3680	114	7	and	and	CCONJ
ejpam-3680	114	8	a	a	DET
ejpam-3680	114	9	subsequence	subsequence	NOUN
ejpam-3680	114	10	xni	xni	NOUN
ejpam-3680	114	11	of	of	ADP
ejpam-3680	114	12	(	(	PUNCT
ejpam-3680	114	13	xn	xn	PROPN
ejpam-3680	114	14	)	)	PUNCT
ejpam-3680	114	15	such	such	ADJ
ejpam-3680	114	16	that	that	PRON
ejpam-3680	114	17	d(xni	d(xni	NOUN
ejpam-3680	114	18	,	,	PUNCT
ejpam-3680	114	19	0	0	NUM
ejpam-3680	114	20	)	)	PUNCT
ejpam-3680	114	21	≥	≥	NOUN
ejpam-3680	114	22	α	α	NOUN
ejpam-3680	114	23	for	for	ADP
ejpam-3680	114	24	all	all	DET
ejpam-3680	114	25	i	i	PRON
ejpam-3680	114	26	∈	∈	PROPN
ejpam-3680	114	27	n.	n.	NOUN
ejpam-3680	114	28	since	since	SCONJ
ejpam-3680	114	29	(	(	PUNCT
ejpam-3680	114	30	xn	xn	X
ejpam-3680	114	31	)	)	PUNCT
ejpam-3680	114	32	is	be	AUX
ejpam-3680	114	33	slowly	slowly	ADV
ejpam-3680	114	34	oscillating	oscillate	VERB
ejpam-3680	114	35	,	,	PUNCT
ejpam-3680	114	36	so	so	CCONJ
ejpam-3680	114	37	(	(	PUNCT
ejpam-3680	114	38	xni	xni	PROPN
ejpam-3680	114	39	)	)	PUNCT
ejpam-3680	114	40	as	as	ADP
ejpam-3680	114	41	a	a	DET
ejpam-3680	114	42	subsequence	subsequence	NOUN
ejpam-3680	114	43	of	of	ADP
ejpam-3680	114	44	(	(	PUNCT
ejpam-3680	114	45	xn	xn	X
ejpam-3680	114	46	)	)	PUNCT
ejpam-3680	114	47	is	be	AUX
ejpam-3680	114	48	also	also	ADV
ejpam-3680	114	49	slowly	slowly	ADV
ejpam-3680	114	50	oscillating	oscillate	VERB
ejpam-3680	114	51	.	.	PUNCT
ejpam-3680	115	1	then	then	ADV
ejpam-3680	115	2	for	for	ADP
ejpam-3680	115	3	a	a	DET
ejpam-3680	115	4	given	give	VERB
ejpam-3680	115	5	δ	δ	PROPN
ejpam-3680	115	6	>	>	X
ejpam-3680	115	7	0	0	PROPN
ejpam-3680	115	8	,	,	PUNCT
ejpam-3680	115	9	there	there	PRON
ejpam-3680	115	10	exists	exist	VERB
ejpam-3680	115	11	g0	g0	PROPN
ejpam-3680	115	12	∈	∈	PROPN
ejpam-3680	115	13	n	n	PRON
ejpam-3680	115	14	such	such	ADJ
ejpam-3680	115	15	that	that	DET
ejpam-3680	115	16	g0	g0	ADJ
ejpam-3680	115	17	≤	≤	PROPN
ejpam-3680	115	18	n	n	PRON
ejpam-3680	115	19	≤	≤	NOUN
ejpam-3680	116	1	m	m	VERB
ejpam-3680	116	2	<	<	X
ejpam-3680	116	3	(	(	PUNCT
ejpam-3680	116	4	1	1	NUM
ejpam-3680	116	5	+	+	CCONJ
ejpam-3680	116	6	δ)n	δ)n	X
ejpam-3680	116	7	and	and	CCONJ
ejpam-3680	116	8	d(xn	d(xn	PROPN
ejpam-3680	116	9	,	,	PUNCT
ejpam-3680	116	10	xm	xm	PROPN
ejpam-3680	116	11	)	)	PUNCT
ejpam-3680	116	12	<	<	X
ejpam-3680	117	1	α	α	PROPN
ejpam-3680	117	2	2	2	NUM
ejpam-3680	117	3	.	.	PUNCT
ejpam-3680	118	1	p.	p.	NOUN
ejpam-3680	118	2	k.	k.	PROPN
ejpam-3680	118	3	pattanaik	pattanaik	PROPN
ejpam-3680	118	4	,	,	PUNCT
ejpam-3680	118	5	s.	s.	PROPN
ejpam-3680	118	6	k.	k.	PROPN
ejpam-3680	118	7	paikray	paikray	PROPN
ejpam-3680	118	8	,	,	PUNCT
ejpam-3680	118	9	b.	b.	PROPN
ejpam-3680	118	10	b.	b.	PROPN
ejpam-3680	118	11	jena	jena	PROPN
ejpam-3680	118	12	/	/	SYM
ejpam-3680	118	13	eur	eur	PROPN
ejpam-3680	118	14	.	.	PUNCT
ejpam-3680	119	1	j.	j.	PROPN
ejpam-3680	119	2	pure	pure	PROPN
ejpam-3680	119	3	appl	appl	PROPN
ejpam-3680	119	4	.	.	PROPN
ejpam-3680	119	5	math	math	PROPN
ejpam-3680	119	6	,	,	PUNCT
ejpam-3680	119	7	13	13	NUM
ejpam-3680	119	8	(	(	PUNCT
ejpam-3680	119	9	5	5	NUM
ejpam-3680	119	10	)	)	PUNCT
ejpam-3680	119	11	(	(	PUNCT
ejpam-3680	119	12	2020	2020	NUM
ejpam-3680	119	13	)	)	PUNCT
ejpam-3680	119	14	,	,	PUNCT
ejpam-3680	119	15	1088	1088	NUM
ejpam-3680	119	16	-	-	SYM
ejpam-3680	119	17	1096	1096	NUM
ejpam-3680	119	18	1093	1093	NUM
ejpam-3680	119	19	moreover	moreover	ADV
ejpam-3680	119	20	,	,	PUNCT
ejpam-3680	119	21	(	(	PUNCT
ejpam-3680	119	22	xn	xn	X
ejpam-3680	119	23	)	)	PUNCT
ejpam-3680	119	24	being	be	AUX
ejpam-3680	119	25	(	(	PUNCT
ejpam-3680	119	26	n	n	CCONJ
ejpam-3680	119	27	,	,	PUNCT
ejpam-3680	119	28	pn	pn	NOUN
ejpam-3680	119	29	,	,	PUNCT
ejpam-3680	119	30	qn)summable	qn)summable	ADJ
ejpam-3680	119	31	to	to	ADP
ejpam-3680	119	32	0	0	NUM
ejpam-3680	119	33	,	,	PUNCT
ejpam-3680	119	34	that	that	PRON
ejpam-3680	119	35	means	mean	VERB
ejpam-3680	119	36	,	,	PUNCT
ejpam-3680	119	37	(	(	PUNCT
ejpam-3680	119	38	σn	σn	NOUN
ejpam-3680	119	39	)	)	PUNCT
ejpam-3680	119	40	is	be	AUX
ejpam-3680	119	41	convergent	convergent	ADJ
ejpam-3680	119	42	to	to	ADP
ejpam-3680	119	43	0	0	NUM
ejpam-3680	119	44	in	in	ADP
ejpam-3680	119	45	(	(	PUNCT
ejpam-3680	119	46	r(i	r(i	NOUN
ejpam-3680	119	47	)	)	PUNCT
ejpam-3680	119	48	,	,	PUNCT
ejpam-3680	119	49	d	d	X
ejpam-3680	119	50	)	)	PUNCT
ejpam-3680	119	51	with	with	ADP
ejpam-3680	119	52	σn	σn	NOUN
ejpam-3680	119	53	=	=	SYM
ejpam-3680	119	54	1	1	NUM
ejpam-3680	119	55	r′n	r′n	NOUN
ejpam-3680	119	56	n∑	n∑	PROPN
ejpam-3680	119	57	k=1	k=1	PROPN
ejpam-3680	119	58	pn−kqkxk	pn−kqkxk	NOUN
ejpam-3680	119	59	;	;	PUNCT
ejpam-3680	119	60	thus	thus	ADV
ejpam-3680	119	61	for	for	SCONJ
ejpam-3680	119	62	all	all	DET
ejpam-3680	119	63	mi	mi	PROPN
ejpam-3680	119	64	≥	≥	PROPN
ejpam-3680	119	65	ni	ni	PROPN
ejpam-3680	119	66	,	,	PUNCT
ejpam-3680	119	67	σmi	σmi	NOUN
ejpam-3680	120	1	−	−	NOUN
ejpam-3680	121	1	r	r	NOUN
ejpam-3680	121	2	′	′	NUM
ejpam-3680	121	3	ni	ni	PROPN
ejpam-3680	121	4	r′mi	r′mi	ADJ
ejpam-3680	121	5	σni	σni	NOUN
ejpam-3680	121	6	=	=	SYM
ejpam-3680	121	7	1	1	NUM
ejpam-3680	121	8	r′mi	r′mi	NOUN
ejpam-3680	121	9	mi∑	mi∑	NOUN
ejpam-3680	121	10	k=1	k=1	X
ejpam-3680	121	11	pmi−kqkxk	pmi−kqkxk	VERB
ejpam-3680	122	1	−	−	NOUN
ejpam-3680	122	2	r	r	NOUN
ejpam-3680	122	3	′	′	NUM
ejpam-3680	122	4	ni	ni	PROPN
ejpam-3680	122	5	r′mi	r′mi	ADJ
ejpam-3680	122	6	1	1	NUM
ejpam-3680	122	7	r′ni	r′ni	NOUN
ejpam-3680	122	8	ni∑	ni∑	NOUN
ejpam-3680	122	9	k=1	k=1	X
ejpam-3680	122	10	pni−kqkxk	pni−kqkxk	NOUN
ejpam-3680	122	11	=	=	SYM
ejpam-3680	122	12	1	1	NUM
ejpam-3680	122	13	r′mi	r′mi	NOUN
ejpam-3680	122	14	mi∑	mi∑	NOUN
ejpam-3680	122	15	k	k	NOUN
ejpam-3680	122	16	=	=	NOUN
ejpam-3680	122	17	ni+1	ni+1	PRON
ejpam-3680	122	18	pmi−kqkxk	pmi−kqkxk	NOUN
ejpam-3680	122	19	.	.	PUNCT
ejpam-3680	123	1	clearly	clearly	ADV
ejpam-3680	123	2	,	,	PUNCT
ejpam-3680	123	3	ni	ni	PROPN
ejpam-3680	123	4	≥	≥	PROPN
ejpam-3680	123	5	g1	g1	PROPN
ejpam-3680	123	6	and	and	CCONJ
ejpam-3680	123	7	ni	ni	PROPN
ejpam-3680	123	8	≤	≤	PROPN
ejpam-3680	123	9	m	m	VERB
ejpam-3680	123	10	≤	≤	NOUN
ejpam-3680	123	11	mi	mi	NOUN
ejpam-3680	124	1	=	=	PUNCT
ejpam-3680	124	2	[	[	X
ejpam-3680	124	3	(	(	PUNCT
ejpam-3680	124	4	1	1	NUM
ejpam-3680	124	5	+	+	CCONJ
ejpam-3680	124	6	δ)ni	δ)ni	PROPN
ejpam-3680	124	7	]	]	X
ejpam-3680	124	8	,	,	PUNCT
ejpam-3680	124	9	where	where	SCONJ
ejpam-3680	124	10	[	[	X
ejpam-3680	124	11	x	x	X
ejpam-3680	124	12	]	]	X
ejpam-3680	124	13	denote	denote	VERB
ejpam-3680	124	14	the	the	DET
ejpam-3680	124	15	integral	integral	ADJ
ejpam-3680	124	16	part	part	NOUN
ejpam-3680	124	17	of	of	ADP
ejpam-3680	124	18	x	x	PRON
ejpam-3680	124	19	,	,	PUNCT
ejpam-3680	124	20	we	we	PRON
ejpam-3680	124	21	have	have	VERB
ejpam-3680	124	22	d(0	d(0	NOUN
ejpam-3680	124	23	,	,	PUNCT
ejpam-3680	124	24	xm	xm	PROPN
ejpam-3680	124	25	)	)	PUNCT
ejpam-3680	124	26	≥	≥	NOUN
ejpam-3680	125	1	d(0	d(0	NOUN
ejpam-3680	125	2	,	,	PUNCT
ejpam-3680	125	3	xni)−	xni)−	PROPN
ejpam-3680	125	4	d(xni	d(xni	PROPN
ejpam-3680	125	5	,	,	PUNCT
ejpam-3680	125	6	xm	xm	PROPN
ejpam-3680	125	7	)	)	PUNCT
ejpam-3680	125	8	≥	≥	NOUN
ejpam-3680	125	9	α−	α−	ADP
ejpam-3680	125	10	α	α	NOUN
ejpam-3680	125	11	2	2	NUM
ejpam-3680	125	12	.	.	PUNCT
ejpam-3680	126	1	again	again	ADV
ejpam-3680	126	2	,	,	PUNCT
ejpam-3680	126	3	d(σmi	d(σmi	PROPN
ejpam-3680	126	4	,	,	PUNCT
ejpam-3680	126	5	σni	σni	PROPN
ejpam-3680	126	6	)	)	PUNCT
ejpam-3680	127	1	+	+	CCONJ
ejpam-3680	128	1	d	d	X
ejpam-3680	128	2	(	(	PUNCT
ejpam-3680	128	3	σni	σni	NOUN
ejpam-3680	128	4	,	,	PUNCT
ejpam-3680	128	5	r	r	NOUN
ejpam-3680	128	6	′	′	NUM
ejpam-3680	128	7	ni	ni	PROPN
ejpam-3680	128	8	r′mi	r′mi	NOUN
ejpam-3680	128	9	σni	σni	NOUN
ejpam-3680	128	10	)	)	PUNCT
ejpam-3680	128	11	≥	≥	PROPN
ejpam-3680	129	1	d	d	NOUN
ejpam-3680	129	2	(	(	PUNCT
ejpam-3680	129	3	σmi	σmi	NOUN
ejpam-3680	129	4	,	,	PUNCT
ejpam-3680	129	5	r	r	NOUN
ejpam-3680	129	6	′	′	NUM
ejpam-3680	129	7	ni	ni	PROPN
ejpam-3680	129	8	r′mi	r′mi	NOUN
ejpam-3680	129	9	σni	σni	NOUN
ejpam-3680	129	10	)	)	PUNCT
ejpam-3680	129	11	≥	≥	NOUN
ejpam-3680	129	12	d	d	X
ejpam-3680	129	13			PROPN
ejpam-3680	129	14	1	1	NUM
ejpam-3680	129	15	r′mi	r′mi	NOUN
ejpam-3680	129	16	mi∑	mi∑	NOUN
ejpam-3680	129	17	k	k	NOUN
ejpam-3680	129	18	=	=	NOUN
ejpam-3680	129	19	ni+1	ni+1	PRON
ejpam-3680	129	20	pmi−kqkxk	pmi−kqkxk	NOUN
ejpam-3680	129	21	,	,	PUNCT
ejpam-3680	129	22	0̄	0̄	NUM
ejpam-3680	129	23			PROPN
ejpam-3680	129	24	≥	≥	NOUN
ejpam-3680	129	25	d	d	NOUN
ejpam-3680	129	26	(	(	PUNCT
ejpam-3680	129	27	pmi−kqmi	pmi−kqmi	ADJ
ejpam-3680	129	28	−	−	PROPN
ejpam-3680	129	29	pni−kqni	pni−kqni	PROPN
ejpam-3680	129	30	r′mi	r′mi	ADJ
ejpam-3680	129	31	xni	xni	PROPN
ejpam-3680	129	32	,	,	PUNCT
ejpam-3680	129	33	0	0	NUM
ejpam-3680	129	34	)	)	PUNCT
ejpam-3680	129	35	−	−	PROPN
ejpam-3680	130	1	d	d	X
ejpam-3680	130	2			PROPN
ejpam-3680	130	3	mi∑	mi∑	PROPN
ejpam-3680	130	4	k	k	NOUN
ejpam-3680	130	5	=	=	NOUN
ejpam-3680	130	6	ni+1	ni+1	PRON
ejpam-3680	130	7	pmi−kqkxk	pmi−kqkxk	VERB
ejpam-3680	131	1	−	−	PROPN
ejpam-3680	131	2	pni−kqnixni	pni−kqnixni	PROPN
ejpam-3680	131	3	r′mi	r′mi	ADJ
ejpam-3680	131	4	,	,	PUNCT
ejpam-3680	131	5	0̄	0̄	NUM
ejpam-3680	131	6			PROPN
ejpam-3680	131	7	≥	≥	NOUN
ejpam-3680	131	8	pmi−kqmi	pmi−kqmi	PRON
ejpam-3680	131	9	−	−	PROPN
ejpam-3680	132	1	pni−kqni	pni−kqni	PROPN
ejpam-3680	132	2	r′mi	r′mi	ADJ
ejpam-3680	132	3	d(xni	d(xni	PROPN
ejpam-3680	132	4	,	,	PUNCT
ejpam-3680	132	5	0	0	NUM
ejpam-3680	132	6	)	)	PUNCT
ejpam-3680	133	1	−	−	PROPN
ejpam-3680	133	2	mi∑	mi∑	NOUN
ejpam-3680	133	3	k	k	NOUN
ejpam-3680	134	1	=	=	NOUN
ejpam-3680	134	2	ni+1	ni+1	PROPN
ejpam-3680	134	3	d	d	PROPN
ejpam-3680	134	4	(	(	PUNCT
ejpam-3680	134	5	pmi−kqkxk	pmi−kqkxk	NUM
ejpam-3680	134	6	−	−	PROPN
ejpam-3680	134	7	pni−kqnixni	pni−kqnixni	PROPN
ejpam-3680	134	8	r′mi	r′mi	ADJ
ejpam-3680	134	9	,	,	PUNCT
ejpam-3680	134	10	0	0	NUM
ejpam-3680	134	11	)	)	PUNCT
ejpam-3680	135	1	=	=	PUNCT
ejpam-3680	135	2	pmi−kqmi	pmi−kqmi	NUM
ejpam-3680	136	1	−	−	PUNCT
ejpam-3680	137	1	pni−kqni	pni−kqni	INTJ
ejpam-3680	137	2	r′mi	r′mi	ADJ
ejpam-3680	137	3	d(xni	d(xni	PROPN
ejpam-3680	137	4	,	,	PUNCT
ejpam-3680	137	5	0	0	NUM
ejpam-3680	137	6	)	)	PUNCT
ejpam-3680	138	1	−	−	PROPN
ejpam-3680	138	2	mi∑	mi∑	NOUN
ejpam-3680	138	3	k	k	NOUN
ejpam-3680	138	4	=	=	NOUN
ejpam-3680	138	5	ni+1	ni+1	CCONJ
ejpam-3680	138	6	1	1	NUM
ejpam-3680	138	7	r′mi	r′mi	NOUN
ejpam-3680	138	8	d	d	PROPN
ejpam-3680	138	9	(	(	PUNCT
ejpam-3680	138	10	pmi−kqkxk	pmi−kqkxk	ADP
ejpam-3680	138	11	,	,	PUNCT
ejpam-3680	138	12	pni−kqnixni	pni−kqnixni	NOUN
ejpam-3680	138	13	)	)	PUNCT
ejpam-3680	138	14	≥	≥	PRON
ejpam-3680	138	15	pmi−kqmi	pmi−kqmi	VERB
ejpam-3680	138	16	−	−	PROPN
ejpam-3680	139	1	pni−kqni	pni−kqni	PROPN
ejpam-3680	139	2	r′mi	r′mi	ADJ
ejpam-3680	139	3	d(xni	d(xni	PROPN
ejpam-3680	139	4	,	,	PUNCT
ejpam-3680	139	5	0	0	NUM
ejpam-3680	139	6	)	)	PUNCT
ejpam-3680	139	7	−	−	NOUN
ejpam-3680	140	1	pmi−kqmi	pmi−kqmi	PUNCT
ejpam-3680	140	2	−	−	PROPN
ejpam-3680	141	1	pni−kqni	pni−kqni	PROPN
ejpam-3680	141	2	r′mi	r′mi	ADJ
ejpam-3680	141	3	d(xk	d(xk	PROPN
ejpam-3680	141	4	,	,	PUNCT
ejpam-3680	141	5	xni	xni	PROPN
ejpam-3680	141	6	)	)	PUNCT
ejpam-3680	141	7	references	reference	NOUN
ejpam-3680	141	8	1094	1094	NUM
ejpam-3680	141	9	≥	≥	NUM
ejpam-3680	141	10	pmi−kqmi	pmi−kqmi	VERB
ejpam-3680	141	11	−	−	PROPN
ejpam-3680	142	1	pni−kqni	pni−kqni	PRON
ejpam-3680	142	2	r′mi	r′mi	NOUN
ejpam-3680	142	3	α−	α−	ADP
ejpam-3680	142	4	pmi−kqmi	pmi−kqmi	PROPN
ejpam-3680	142	5	−	−	PROPN
ejpam-3680	143	1	pni−kqni	pni−kqni	PROPN
ejpam-3680	144	1	r′mi	r′mi	NOUN
ejpam-3680	144	2	α	α	NOUN
ejpam-3680	144	3	2	2	NUM
ejpam-3680	144	4	=	=	NOUN
ejpam-3680	144	5	pmi−kqmi	pmi−kqmi	X
ejpam-3680	144	6	−	−	PROPN
ejpam-3680	145	1	pni−kqni	pni−kqni	INTJ
ejpam-3680	145	2	r′mi	r′mi	NOUN
ejpam-3680	145	3	(	(	PUNCT
ejpam-3680	145	4	α−	α−	ADP
ejpam-3680	145	5	α	α	PRON
ejpam-3680	145	6	2	2	NUM
ejpam-3680	145	7	)	)	PUNCT
ejpam-3680	145	8	≥	≥	NOUN
ejpam-3680	145	9	pmi−kqmi	pmi−kqmi	VERB
ejpam-3680	145	10	−	−	PROPN
ejpam-3680	146	1	pni−kqni	pni−kqni	PROPN
ejpam-3680	146	2	r′mi	r′mi	NOUN
ejpam-3680	146	3	(	(	PUNCT
ejpam-3680	146	4	δ	δ	NOUN
ejpam-3680	146	5	1	1	NUM
ejpam-3680	146	6	+	+	NUM
ejpam-3680	146	7	δ	δ	PROPN
ejpam-3680	146	8	)	)	PUNCT
ejpam-3680	146	9	≥	≥	NOUN
ejpam-3680	146	10	0	0	NUM
ejpam-3680	146	11	.	.	PUNCT
ejpam-3680	147	1	thus	thus	ADV
ejpam-3680	147	2	,	,	PUNCT
ejpam-3680	147	3	for	for	ADP
ejpam-3680	147	4	all	all	DET
ejpam-3680	147	5	mi	mi	PROPN
ejpam-3680	147	6	≥	≥	PROPN
ejpam-3680	147	7	ni	ni	PROPN
ejpam-3680	147	8	≥	≥	PROPN
ejpam-3680	147	9	gi	gi	PROPN
ejpam-3680	147	10	,	,	PUNCT
ejpam-3680	147	11	d(σmi	d(σmi	PROPN
ejpam-3680	147	12	,	,	PUNCT
ejpam-3680	147	13	σni	σni	PROPN
ejpam-3680	147	14	)	)	PUNCT
ejpam-3680	148	1	+	+	CCONJ
ejpam-3680	149	1	d	d	X
ejpam-3680	149	2	(	(	PUNCT
ejpam-3680	149	3	σni	σni	NOUN
ejpam-3680	149	4	,	,	PUNCT
ejpam-3680	149	5	r	r	NOUN
ejpam-3680	149	6	′	′	NUM
ejpam-3680	149	7	ni	ni	PROPN
ejpam-3680	149	8	r′mi	r′mi	NOUN
ejpam-3680	149	9	σni	σni	NOUN
ejpam-3680	149	10	)	)	PUNCT
ejpam-3680	149	11	≥	≥	PROPN
ejpam-3680	150	1	d	d	NOUN
ejpam-3680	150	2	(	(	PUNCT
ejpam-3680	150	3	σmi	σmi	NOUN
ejpam-3680	150	4	,	,	PUNCT
ejpam-3680	150	5	r	r	NOUN
ejpam-3680	150	6	′	′	NUM
ejpam-3680	150	7	ni	ni	PROPN
ejpam-3680	150	8	r′mi	r′mi	NOUN
ejpam-3680	150	9	σni	σni	NOUN
ejpam-3680	150	10	)	)	PUNCT
ejpam-3680	151	1	α	α	NOUN
ejpam-3680	151	2	2	2	NUM
ejpam-3680	151	3	(	(	PUNCT
ejpam-3680	151	4	δ	δ	NOUN
ejpam-3680	151	5	1	1	NUM
ejpam-3680	151	6	+	+	NUM
ejpam-3680	151	7	δ	δ	PROPN
ejpam-3680	151	8	)	)	PUNCT
ejpam-3680	151	9	.	.	PUNCT
ejpam-3680	152	1	consequently	consequently	ADV
ejpam-3680	152	2	,	,	PUNCT
ejpam-3680	152	3	0	0	PUNCT
ejpam-3680	152	4	=	=	SYM
ejpam-3680	152	5	lim	lim	PROPN
ejpam-3680	152	6	d	d	PROPN
ejpam-3680	152	7	(	(	PUNCT
ejpam-3680	152	8	σni	σni	NOUN
ejpam-3680	152	9	,	,	PUNCT
ejpam-3680	152	10	r	r	NOUN
ejpam-3680	152	11	′	′	NUM
ejpam-3680	152	12	ni	ni	PROPN
ejpam-3680	152	13	r′mi	r′mi	NOUN
ejpam-3680	152	14	σni	σni	NOUN
ejpam-3680	152	15	)	)	PUNCT
ejpam-3680	152	16	≥	≥	NOUN
ejpam-3680	152	17	α	α	NOUN
ejpam-3680	152	18	2	2	NUM
ejpam-3680	152	19	(	(	PUNCT
ejpam-3680	152	20	δ	δ	NOUN
ejpam-3680	152	21	1	1	NUM
ejpam-3680	152	22	+	+	NUM
ejpam-3680	152	23	δ	δ	PROPN
ejpam-3680	152	24	)	)	PUNCT
ejpam-3680	152	25	>	>	X
ejpam-3680	152	26	0	0	NUM
ejpam-3680	152	27	which	which	PRON
ejpam-3680	152	28	contradicts	contradict	VERB
ejpam-3680	152	29	that	that	PRON
ejpam-3680	152	30	(	(	PUNCT
ejpam-3680	152	31	xn	xn	X
ejpam-3680	152	32	)	)	PUNCT
ejpam-3680	152	33	converges	converge	NOUN
ejpam-3680	152	34	in	in	ADP
ejpam-3680	152	35	r(i	r(i	NOUN
ejpam-3680	152	36	)	)	PUNCT
ejpam-3680	152	37	.	.	PUNCT
ejpam-3680	153	1	therefore	therefore	ADV
ejpam-3680	153	2	,	,	PUNCT
ejpam-3680	153	3	(	(	PUNCT
ejpam-3680	153	4	xn	xn	X
ejpam-3680	153	5	)	)	PUNCT
ejpam-3680	153	6	is	be	AUX
ejpam-3680	153	7	convergent	convergent	ADJ
ejpam-3680	153	8	to	to	ADP
ejpam-3680	153	9	l	l	NOUN
ejpam-3680	153	10	in	in	ADP
ejpam-3680	153	11	r(i	r(i	NOUN
ejpam-3680	153	12	)	)	PUNCT
ejpam-3680	153	13	.	.	PUNCT
ejpam-3680	154	1	this	this	PRON
ejpam-3680	154	2	completes	complete	VERB
ejpam-3680	154	3	the	the	DET
ejpam-3680	154	4	proof	proof	NOUN
ejpam-3680	154	5	of	of	ADP
ejpam-3680	154	6	the	the	DET
ejpam-3680	154	7	theorem	theorem	PROPN
ejpam-3680	154	8	.	.	PUNCT
ejpam-3680	154	9	theorem	theorem	NOUN
ejpam-3680	154	10	4	4	NUM
ejpam-3680	154	11	.	.	PUNCT
ejpam-3680	155	1	if	if	SCONJ
ejpam-3680	155	2	(	(	PUNCT
ejpam-3680	155	3	xn	xn	X
ejpam-3680	155	4	)	)	PUNCT
ejpam-3680	155	5	is	be	AUX
ejpam-3680	155	6	(	(	PUNCT
ejpam-3680	155	7	n̄	n̄	NOUN
ejpam-3680	155	8	,	,	PUNCT
ejpam-3680	155	9	pn	pn	NOUN
ejpam-3680	155	10	,	,	PUNCT
ejpam-3680	155	11	qn	qn	NOUN
ejpam-3680	155	12	)	)	PUNCT
ejpam-3680	155	13	summable	summable	ADJ
ejpam-3680	155	14	to	to	ADP
ejpam-3680	155	15	l	l	NOUN
ejpam-3680	155	16	in	in	ADP
ejpam-3680	155	17	r(i	r(i	NOUN
ejpam-3680	155	18	)	)	PUNCT
ejpam-3680	155	19	and	and	CCONJ
ejpam-3680	155	20	slowly	slowly	ADV
ejpam-3680	155	21	oscillating	oscillate	VERB
ejpam-3680	155	22	then	then	ADV
ejpam-3680	155	23	it	it	PRON
ejpam-3680	155	24	is	be	AUX
ejpam-3680	155	25	convergent	convergent	ADJ
ejpam-3680	155	26	to	to	ADP
ejpam-3680	155	27	l	l	NOUN
ejpam-3680	155	28	in	in	ADP
ejpam-3680	155	29	r(i	r(i	NOUN
ejpam-3680	155	30	)	)	PUNCT
ejpam-3680	155	31	.	.	PUNCT
ejpam-3680	156	1	proof	proof	NOUN
ejpam-3680	156	2	.	.	PUNCT
ejpam-3680	157	1	the	the	DET
ejpam-3680	157	2	proof	proof	NOUN
ejpam-3680	157	3	can	can	AUX
ejpam-3680	157	4	be	be	AUX
ejpam-3680	157	5	followed	follow	VERB
ejpam-3680	157	6	in	in	ADP
ejpam-3680	157	7	the	the	DET
ejpam-3680	157	8	similar	similar	ADJ
ejpam-3680	157	9	lines	line	NOUN
ejpam-3680	157	10	from	from	ADP
ejpam-3680	157	11	the	the	DET
ejpam-3680	157	12	proof	proof	NOUN
ejpam-3680	157	13	of	of	ADP
ejpam-3680	157	14	theorem	theorem	ADJ
ejpam-3680	157	15	3	3	X
ejpam-3680	157	16	.	.	PUNCT
ejpam-3680	157	17	acknowledgements	acknowledgement	NOUN
ejpam-3680	157	18	the	the	DET
ejpam-3680	157	19	authors	author	NOUN
ejpam-3680	157	20	would	would	AUX
ejpam-3680	157	21	like	like	VERB
ejpam-3680	157	22	to	to	PART
ejpam-3680	157	23	keep	keep	VERB
ejpam-3680	157	24	the	the	DET
ejpam-3680	157	25	record	record	NOUN
ejpam-3680	157	26	of	of	ADP
ejpam-3680	157	27	the	the	DET
ejpam-3680	157	28	80th	80th	ADJ
ejpam-3680	157	29	birthday	birthday	NOUN
ejpam-3680	157	30	of	of	ADP
ejpam-3680	157	31	prof	prof	NOUN
ejpam-3680	157	32	.	.	PUNCT
ejpam-3680	158	1	h.	h.	PROPN
ejpam-3680	158	2	m.	m.	PROPN
ejpam-3680	158	3	srivastava	srivastava	PROPN
ejpam-3680	158	4	for	for	ADP
ejpam-3680	158	5	his	his	PRON
ejpam-3680	158	6	tremendous	tremendous	ADJ
ejpam-3680	158	7	contribution	contribution	NOUN
ejpam-3680	158	8	to	to	ADP
ejpam-3680	158	9	many	many	ADJ
ejpam-3680	158	10	significant	significant	ADJ
ejpam-3680	158	11	developments	development	NOUN
ejpam-3680	158	12	in	in	ADP
ejpam-3680	158	13	mathematical	mathematical	ADJ
ejpam-3680	158	14	research	research	NOUN
ejpam-3680	158	15	.	.	PUNCT
ejpam-3680	159	1	also	also	ADV
ejpam-3680	159	2	,	,	PUNCT
ejpam-3680	159	3	the	the	DET
ejpam-3680	159	4	authors	author	NOUN
ejpam-3680	159	5	express	express	VERB
ejpam-3680	159	6	their	their	PRON
ejpam-3680	159	7	heartfelt	heartfelt	ADJ
ejpam-3680	159	8	thanks	thank	NOUN
ejpam-3680	159	9	to	to	ADP
ejpam-3680	159	10	the	the	DET
ejpam-3680	159	11	editors	editor	NOUN
ejpam-3680	159	12	and	and	CCONJ
ejpam-3680	159	13	anonymous	anonymous	ADJ
ejpam-3680	159	14	referees	referee	NOUN
ejpam-3680	159	15	for	for	ADP
ejpam-3680	159	16	their	their	PRON
ejpam-3680	159	17	most	most	ADV
ejpam-3680	159	18	valuable	valuable	ADJ
ejpam-3680	159	19	comments	comment	NOUN
ejpam-3680	159	20	and	and	CCONJ
ejpam-3680	159	21	constructive	constructive	ADJ
ejpam-3680	159	22	suggestions	suggestion	NOUN
ejpam-3680	159	23	which	which	PRON
ejpam-3680	159	24	leads	lead	VERB
ejpam-3680	159	25	to	to	ADP
ejpam-3680	159	26	the	the	DET
ejpam-3680	159	27	improvement	improvement	NOUN
ejpam-3680	159	28	of	of	ADP
ejpam-3680	159	29	the	the	DET
ejpam-3680	159	30	earlier	early	ADJ
ejpam-3680	159	31	version	version	NOUN
ejpam-3680	159	32	of	of	ADP
ejpam-3680	159	33	the	the	DET
ejpam-3680	159	34	manuscript	manuscript	NOUN
ejpam-3680	159	35	.	.	PUNCT
ejpam-3680	160	1	funding	funding	NOUN
ejpam-3680	160	2	:	:	PUNCT
ejpam-3680	160	3	this	this	DET
ejpam-3680	160	4	research	research	NOUN
ejpam-3680	160	5	received	receive	VERB
ejpam-3680	160	6	no	no	DET
ejpam-3680	160	7	external	external	ADJ
ejpam-3680	160	8	funding	funding	NOUN
ejpam-3680	160	9	.	.	PUNCT
ejpam-3680	161	1	conflicts	conflict	NOUN
ejpam-3680	161	2	of	of	ADP
ejpam-3680	161	3	interest	interest	NOUN
ejpam-3680	161	4	:	:	PUNCT
ejpam-3680	161	5	the	the	DET
ejpam-3680	161	6	authors	author	NOUN
ejpam-3680	161	7	declare	declare	VERB
ejpam-3680	161	8	that	that	SCONJ
ejpam-3680	161	9	they	they	PRON
ejpam-3680	161	10	have	have	VERB
ejpam-3680	161	11	no	no	DET
ejpam-3680	161	12	conflicts	conflict	NOUN
ejpam-3680	161	13	of	of	ADP
ejpam-3680	161	14	interest	interest	NOUN
ejpam-3680	161	15	.	.	PUNCT
ejpam-3680	162	1	references	reference	NOUN
ejpam-3680	162	2	[	[	X
ejpam-3680	162	3	1	1	NUM
ejpam-3680	162	4	]	]	X
ejpam-3680	162	5	y.	y.	PROPN
ejpam-3680	162	6	altin	altin	PROPN
ejpam-3680	162	7	,	,	PUNCT
ejpam-3680	162	8	m.	m.	NOUN
ejpam-3680	162	9	mursaleen	mursaleen	PROPN
ejpam-3680	162	10	,	,	PUNCT
ejpam-3680	162	11	and	and	CCONJ
ejpam-3680	162	12	h.	h.	PROPN
ejpam-3680	162	13	altinok	altinok	PROPN
ejpam-3680	162	14	.	.	PUNCT
ejpam-3680	163	1	statistical	statistical	ADJ
ejpam-3680	163	2	summability	summability	NOUN
ejpam-3680	163	3	(	(	PUNCT
ejpam-3680	163	4	c,1	c,1	NOUN
ejpam-3680	163	5	)	)	PUNCT
ejpam-3680	163	6	for	for	ADP
ejpam-3680	163	7	sequences	sequence	NOUN
ejpam-3680	163	8	of	of	ADP
ejpam-3680	163	9	fuzzy	fuzzy	ADJ
ejpam-3680	163	10	real	real	ADJ
ejpam-3680	163	11	numbers	number	NOUN
ejpam-3680	163	12	and	and	CCONJ
ejpam-3680	163	13	a	a	DET
ejpam-3680	163	14	tauberian	tauberian	ADJ
ejpam-3680	163	15	theorem	theorem	NOUN
ejpam-3680	163	16	.	.	PUNCT
ejpam-3680	164	1	j.	j.	PROPN
ejpam-3680	164	2	intell	intell	PROPN
ejpam-3680	164	3	.	.	PUNCT
ejpam-3680	165	1	fuzzy	fuzzy	ADJ
ejpam-3680	165	2	syst	syst	PROPN
ejpam-3680	165	3	.	.	PROPN
ejpam-3680	165	4	,	,	PUNCT
ejpam-3680	165	5	21:379–384	21:379–384	PROPN
ejpam-3680	165	6	,	,	PUNCT
ejpam-3680	165	7	2010	2010	NUM
ejpam-3680	165	8	.	.	PUNCT
ejpam-3680	166	1	[	[	X
ejpam-3680	166	2	2	2	NUM
ejpam-3680	166	3	]	]	PUNCT
ejpam-3680	166	4	a.	a.	NOUN
ejpam-3680	166	5	a.	a.	NOUN
ejpam-3680	166	6	das	das	PROPN
ejpam-3680	166	7	,	,	PUNCT
ejpam-3680	166	8	s.	s.	PROPN
ejpam-3680	166	9	k.	k.	PROPN
ejpam-3680	166	10	paikray	paikray	PROPN
ejpam-3680	166	11	,	,	PUNCT
ejpam-3680	166	12	t.	t.	PROPN
ejpam-3680	166	13	pradhan	pradhan	PROPN
ejpam-3680	166	14	,	,	PUNCT
ejpam-3680	166	15	and	and	CCONJ
ejpam-3680	166	16	h.	h.	PROPN
ejpam-3680	166	17	dutta	dutta	PROPN
ejpam-3680	166	18	.	.	PUNCT
ejpam-3680	167	1	statistical	statistical	ADJ
ejpam-3680	167	2	(	(	PUNCT
ejpam-3680	167	3	c	c	NOUN
ejpam-3680	167	4	,	,	PUNCT
ejpam-3680	167	5	1)(e	1)(e	NUM
ejpam-3680	167	6	,	,	PUNCT
ejpam-3680	167	7	µ)summablity	µ)summablity	NOUN
ejpam-3680	167	8	and	and	CCONJ
ejpam-3680	167	9	associated	associate	VERB
ejpam-3680	167	10	fuzzy	fuzzy	ADJ
ejpam-3680	167	11	approximation	approximation	NOUN
ejpam-3680	167	12	theorems	theorem	NOUN
ejpam-3680	167	13	with	with	ADP
ejpam-3680	167	14	statistical	statistical	ADJ
ejpam-3680	167	15	fuzzy	fuzzy	ADJ
ejpam-3680	167	16	rates	rate	NOUN
ejpam-3680	167	17	.	.	PUNCT
ejpam-3680	168	1	soft	soft	ADJ
ejpam-3680	168	2	comput	comput	NOUN
ejpam-3680	168	3	.	.	PUNCT
ejpam-3680	168	4	,	,	PUNCT
ejpam-3680	168	5	doi.org/10.1007/s00500-019-04591-2:1–12	doi.org/10.1007/s00500-019-04591-2:1–12	PROPN
ejpam-3680	168	6	,	,	PUNCT
ejpam-3680	168	7	2018	2018	NUM
ejpam-3680	168	8	.	.	PUNCT
ejpam-3680	169	1	references	reference	NOUN
ejpam-3680	169	2	1095	1095	NUM
ejpam-3680	169	3	[	[	X
ejpam-3680	169	4	3	3	NUM
ejpam-3680	169	5	]	]	X
ejpam-3680	169	6	b.	b.	PROPN
ejpam-3680	169	7	b.	b.	PROPN
ejpam-3680	169	8	jena	jena	PROPN
ejpam-3680	169	9	and	and	CCONJ
ejpam-3680	169	10	s.	s.	PROPN
ejpam-3680	169	11	k.	k.	PROPN
ejpam-3680	169	12	paikray	paikray	PROPN
ejpam-3680	169	13	.	.	PUNCT
ejpam-3680	170	1	product	product	NOUN
ejpam-3680	170	2	of	of	ADP
ejpam-3680	170	3	statistical	statistical	ADJ
ejpam-3680	170	4	probability	probability	NOUN
ejpam-3680	170	5	convergence	convergence	NOUN
ejpam-3680	170	6	and	and	CCONJ
ejpam-3680	170	7	its	its	PRON
ejpam-3680	170	8	applications	application	NOUN
ejpam-3680	170	9	to	to	ADP
ejpam-3680	170	10	korovkin	korovkin	NOUN
ejpam-3680	170	11	-	-	PUNCT
ejpam-3680	170	12	type	type	NOUN
ejpam-3680	170	13	theorem	theorem	VERB
ejpam-3680	170	14	.	.	PUNCT
ejpam-3680	170	15	miskolc	miskolc	ADJ
ejpam-3680	170	16	math	math	PROPN
ejpam-3680	170	17	.	.	PUNCT
ejpam-3680	171	1	notes	note	NOUN
ejpam-3680	171	2	,	,	PUNCT
ejpam-3680	171	3	20:969–984	20:969–984	PROPN
ejpam-3680	171	4	,	,	PUNCT
ejpam-3680	171	5	2019	2019	NUM
ejpam-3680	171	6	.	.	PUNCT
ejpam-3680	172	1	[	[	X
ejpam-3680	172	2	4	4	X
ejpam-3680	172	3	]	]	PUNCT
ejpam-3680	172	4	b.	b.	PROPN
ejpam-3680	172	5	b.	b.	PROPN
ejpam-3680	172	6	jena	jena	PROPN
ejpam-3680	172	7	,	,	PUNCT
ejpam-3680	172	8	s.	s.	PROPN
ejpam-3680	172	9	k.	k.	PROPN
ejpam-3680	172	10	paikray	paikray	PROPN
ejpam-3680	172	11	,	,	PUNCT
ejpam-3680	172	12	and	and	CCONJ
ejpam-3680	172	13	h.	h.	PROPN
ejpam-3680	172	14	dutta	dutta	PROPN
ejpam-3680	172	15	.	.	PUNCT
ejpam-3680	173	1	on	on	ADP
ejpam-3680	173	2	various	various	ADJ
ejpam-3680	173	3	new	new	ADJ
ejpam-3680	173	4	concepts	concept	NOUN
ejpam-3680	173	5	of	of	ADP
ejpam-3680	173	6	statistical	statistical	ADJ
ejpam-3680	173	7	convergence	convergence	NOUN
ejpam-3680	173	8	for	for	ADP
ejpam-3680	173	9	sequences	sequence	NOUN
ejpam-3680	173	10	of	of	ADP
ejpam-3680	173	11	random	random	ADJ
ejpam-3680	173	12	variables	variable	NOUN
ejpam-3680	173	13	via	via	ADP
ejpam-3680	173	14	deferred	deferred	ADJ
ejpam-3680	173	15	cesàro	cesàro	NOUN
ejpam-3680	173	16	mean	mean	NOUN
ejpam-3680	173	17	.	.	PUNCT
ejpam-3680	174	1	j.	j.	PROPN
ejpam-3680	174	2	math	math	PROPN
ejpam-3680	174	3	.	.	PUNCT
ejpam-3680	175	1	anal	anal	PROPN
ejpam-3680	175	2	.	.	PUNCT
ejpam-3680	175	3	appl	appl	PROPN
ejpam-3680	175	4	.	.	PROPN
ejpam-3680	175	5	,	,	PUNCT
ejpam-3680	175	6	487:1–18	487:1–18	NUM
ejpam-3680	175	7	,	,	PUNCT
ejpam-3680	175	8	2020	2020	NUM
ejpam-3680	175	9	.	.	PUNCT
ejpam-3680	176	1	[	[	X
ejpam-3680	176	2	5	5	NUM
ejpam-3680	176	3	]	]	PUNCT
ejpam-3680	176	4	b.	b.	PROPN
ejpam-3680	176	5	b.	b.	PROPN
ejpam-3680	176	6	jena	jena	PROPN
ejpam-3680	176	7	,	,	PUNCT
ejpam-3680	176	8	s.	s.	PROPN
ejpam-3680	176	9	k.	k.	PROPN
ejpam-3680	176	10	paikray	paikray	PROPN
ejpam-3680	176	11	,	,	PUNCT
ejpam-3680	176	12	and	and	CCONJ
ejpam-3680	176	13	u.	u.	PROPN
ejpam-3680	176	14	k.	k.	PROPN
ejpam-3680	176	15	misra	misra	PROPN
ejpam-3680	176	16	.	.	PUNCT
ejpam-3680	177	1	statistical	statistical	ADJ
ejpam-3680	177	2	deferred	defer	VERB
ejpam-3680	177	3	cesàro	cesàro	NOUN
ejpam-3680	177	4	summability	summability	NOUN
ejpam-3680	177	5	and	and	CCONJ
ejpam-3680	177	6	its	its	PRON
ejpam-3680	177	7	applications	application	NOUN
ejpam-3680	177	8	to	to	ADP
ejpam-3680	177	9	approximation	approximation	NOUN
ejpam-3680	177	10	theorems	theorem	NOUN
ejpam-3680	177	11	.	.	PUNCT
ejpam-3680	178	1	filomat	filomat	PROPN
ejpam-3680	178	2	,	,	PUNCT
ejpam-3680	178	3	32:2307–2319	32:2307–2319	PROPN
ejpam-3680	178	4	,	,	PUNCT
ejpam-3680	178	5	2018	2018	NUM
ejpam-3680	178	6	.	.	PUNCT
ejpam-3680	179	1	[	[	X
ejpam-3680	179	2	6	6	NUM
ejpam-3680	179	3	]	]	PUNCT
ejpam-3680	179	4	b.	b.	PROPN
ejpam-3680	179	5	b.	b.	PROPN
ejpam-3680	179	6	jena	jena	PROPN
ejpam-3680	179	7	,	,	PUNCT
ejpam-3680	179	8	s.	s.	PROPN
ejpam-3680	179	9	k.	k.	PROPN
ejpam-3680	179	10	paikray	paikray	PROPN
ejpam-3680	179	11	,	,	PUNCT
ejpam-3680	179	12	p.	p.	PROPN
ejpam-3680	179	13	parida	parida	PROPN
ejpam-3680	179	14	,	,	PUNCT
ejpam-3680	179	15	and	and	CCONJ
ejpam-3680	179	16	h.	h.	PROPN
ejpam-3680	179	17	dutta	dutta	PROPN
ejpam-3680	179	18	.	.	PUNCT
ejpam-3680	180	1	results	result	NOUN
ejpam-3680	180	2	on	on	ADP
ejpam-3680	180	3	tauberian	tauberian	ADJ
ejpam-3680	180	4	theorem	theorem	NOUN
ejpam-3680	180	5	for	for	ADP
ejpam-3680	180	6	cesàro	cesàro	ADJ
ejpam-3680	180	7	summable	summable	ADJ
ejpam-3680	180	8	double	double	ADJ
ejpam-3680	180	9	sequences	sequence	NOUN
ejpam-3680	180	10	of	of	ADP
ejpam-3680	180	11	fuzzy	fuzzy	ADJ
ejpam-3680	180	12	numbers	number	NOUN
ejpam-3680	180	13	.	.	PUNCT
ejpam-3680	181	1	kragujevac	kragujevac	PROPN
ejpam-3680	181	2	j.	j.	PROPN
ejpam-3680	181	3	math	math	PROPN
ejpam-3680	181	4	.	.	PUNCT
ejpam-3680	181	5	,	,	PUNCT
ejpam-3680	181	6	44:495	44:495	NUM
ejpam-3680	181	7	–	–	PUNCT
ejpam-3680	181	8	508	508	NUM
ejpam-3680	181	9	,	,	PUNCT
ejpam-3680	181	10	2020	2020	NUM
ejpam-3680	181	11	.	.	PUNCT
ejpam-3680	182	1	[	[	X
ejpam-3680	182	2	7	7	X
ejpam-3680	182	3	]	]	PUNCT
ejpam-3680	182	4	s.	s.	PROPN
ejpam-3680	182	5	k.	k.	PROPN
ejpam-3680	182	6	paikray	paikray	PROPN
ejpam-3680	182	7	,	,	PUNCT
ejpam-3680	182	8	b.	b.	PROPN
ejpam-3680	182	9	b.	b.	PROPN
ejpam-3680	182	10	jena	jena	PROPN
ejpam-3680	182	11	,	,	PUNCT
ejpam-3680	182	12	and	and	CCONJ
ejpam-3680	182	13	u.	u.	PROPN
ejpam-3680	182	14	k.	k.	PROPN
ejpam-3680	182	15	misra	misra	PROPN
ejpam-3680	182	16	.	.	PUNCT
ejpam-3680	183	1	statistical	statistical	ADJ
ejpam-3680	183	2	deferred	defer	VERB
ejpam-3680	183	3	cesàro	cesàro	NOUN
ejpam-3680	183	4	summability	summability	NOUN
ejpam-3680	183	5	mean	mean	NOUN
ejpam-3680	183	6	based	base	VERB
ejpam-3680	183	7	on	on	ADP
ejpam-3680	183	8	(	(	PUNCT
ejpam-3680	183	9	p	p	X
ejpam-3680	183	10	,	,	PUNCT
ejpam-3680	183	11	q)-integers	q)-integer	NOUN
ejpam-3680	183	12	with	with	ADP
ejpam-3680	183	13	application	application	NOUN
ejpam-3680	183	14	to	to	ADP
ejpam-3680	183	15	approximation	approximation	NOUN
ejpam-3680	183	16	theorems	theorem	NOUN
ejpam-3680	183	17	.	.	PUNCT
ejpam-3680	184	1	in	in	ADP
ejpam-3680	184	2	s.	s.	PROPN
ejpam-3680	184	3	a.	a.	PROPN
ejpam-3680	184	4	mohiuddine	mohiuddine	PROPN
ejpam-3680	184	5	and	and	CCONJ
ejpam-3680	184	6	t.	t.	NOUN
ejpam-3680	184	7	acar	acar	NOUN
ejpam-3680	184	8	,	,	PUNCT
ejpam-3680	184	9	editors	editor	NOUN
ejpam-3680	184	10	,	,	PUNCT
ejpam-3680	184	11	advances	advance	NOUN
ejpam-3680	184	12	in	in	ADP
ejpam-3680	184	13	summability	summability	NOUN
ejpam-3680	184	14	and	and	CCONJ
ejpam-3680	184	15	approximation	approximation	NOUN
ejpam-3680	184	16	theory	theory	NOUN
ejpam-3680	184	17	.	.	PUNCT
ejpam-3680	184	18	,	,	PUNCT
ejpam-3680	184	19	pages	page	NOUN
ejpam-3680	184	20	203–222	203–222	NUM
ejpam-3680	184	21	,	,	PUNCT
ejpam-3680	184	22	springer	springer	NOUN
ejpam-3680	184	23	,	,	PUNCT
ejpam-3680	184	24	singapore	singapore	PROPN
ejpam-3680	184	25	,	,	PUNCT
ejpam-3680	184	26	2019	2019	NUM
ejpam-3680	184	27	.	.	PUNCT
ejpam-3680	185	1	[	[	X
ejpam-3680	185	2	8	8	X
ejpam-3680	185	3	]	]	PUNCT
ejpam-3680	185	4	t.	t.	NOUN
ejpam-3680	185	5	pradhan	pradhan	PROPN
ejpam-3680	185	6	,	,	PUNCT
ejpam-3680	185	7	s.	s.	PROPN
ejpam-3680	185	8	k.	k.	PROPN
ejpam-3680	185	9	paikray	paikray	PROPN
ejpam-3680	185	10	,	,	PUNCT
ejpam-3680	185	11	b.	b.	PROPN
ejpam-3680	185	12	b.	b.	PROPN
ejpam-3680	185	13	jena	jena	PROPN
ejpam-3680	185	14	,	,	PUNCT
ejpam-3680	185	15	and	and	CCONJ
ejpam-3680	185	16	h.	h.	PROPN
ejpam-3680	185	17	dutta	dutta	PROPN
ejpam-3680	185	18	.	.	PUNCT
ejpam-3680	186	1	statistical	statistical	ADJ
ejpam-3680	186	2	deferred	defer	VERB
ejpam-3680	186	3	weighted	weight	VERB
ejpam-3680	186	4	b	b	NOUN
ejpam-3680	186	5	-	-	PUNCT
ejpam-3680	186	6	summability	summability	NOUN
ejpam-3680	186	7	and	and	CCONJ
ejpam-3680	186	8	its	its	PRON
ejpam-3680	186	9	applications	application	NOUN
ejpam-3680	186	10	to	to	ADP
ejpam-3680	186	11	associated	associated	ADJ
ejpam-3680	186	12	approximation	approximation	NOUN
ejpam-3680	186	13	theorems	theorem	NOUN
ejpam-3680	186	14	.	.	PUNCT
ejpam-3680	187	1	j.	j.	PROPN
ejpam-3680	187	2	inequal	inequal	PROPN
ejpam-3680	187	3	.	.	PUNCT
ejpam-3680	188	1	appl	appl	PROPN
ejpam-3680	188	2	.	.	PROPN
ejpam-3680	188	3	,	,	PUNCT
ejpam-3680	188	4	2018;65:1–21	2018;65:1–21	NUM
ejpam-3680	188	5	,	,	PUNCT
ejpam-3680	188	6	2018	2018	NUM
ejpam-3680	188	7	.	.	PUNCT
ejpam-3680	189	1	[	[	X
ejpam-3680	189	2	9	9	NUM
ejpam-3680	189	3	]	]	X
ejpam-3680	189	4	h.	h.	PROPN
ejpam-3680	189	5	m.	m.	PROPN
ejpam-3680	189	6	srivastava	srivastava	PROPN
ejpam-3680	189	7	,	,	PUNCT
ejpam-3680	189	8	b.	b.	PROPN
ejpam-3680	189	9	b.	b.	PROPN
ejpam-3680	189	10	jena	jena	PROPN
ejpam-3680	189	11	,	,	PUNCT
ejpam-3680	189	12	s.	s.	PROPN
ejpam-3680	189	13	k.	k.	PROPN
ejpam-3680	189	14	paikray	paikray	PROPN
ejpam-3680	189	15	,	,	PUNCT
ejpam-3680	189	16	and	and	CCONJ
ejpam-3680	189	17	u.	u.	PROPN
ejpam-3680	189	18	k.	k.	PROPN
ejpam-3680	189	19	misra	misra	PROPN
ejpam-3680	189	20	.	.	PUNCT
ejpam-3680	190	1	a	a	DET
ejpam-3680	190	2	certain	certain	ADJ
ejpam-3680	190	3	class	class	NOUN
ejpam-3680	190	4	of	of	ADP
ejpam-3680	190	5	weighted	weight	VERB
ejpam-3680	190	6	statistical	statistical	ADJ
ejpam-3680	190	7	convergence	convergence	NOUN
ejpam-3680	190	8	and	and	CCONJ
ejpam-3680	190	9	associated	associated	ADJ
ejpam-3680	190	10	korovkin	korovkin	NOUN
ejpam-3680	190	11	type	type	NOUN
ejpam-3680	190	12	approximation	approximation	NOUN
ejpam-3680	190	13	theorems	theorem	NOUN
ejpam-3680	190	14	for	for	ADP
ejpam-3680	190	15	trigonometric	trigonometric	ADJ
ejpam-3680	190	16	functions	function	NOUN
ejpam-3680	190	17	.	.	PUNCT
ejpam-3680	191	1	math	math	NOUN
ejpam-3680	191	2	.	.	PUNCT
ejpam-3680	192	1	methods	method	NOUN
ejpam-3680	192	2	appl	appl	PROPN
ejpam-3680	192	3	.	.	PUNCT
ejpam-3680	193	1	sci	sci	PROPN
ejpam-3680	193	2	.	.	PROPN
ejpam-3680	193	3	,	,	PUNCT
ejpam-3680	193	4	41:671–683	41:671–683	PROPN
ejpam-3680	193	5	,	,	PUNCT
ejpam-3680	193	6	2018	2018	NUM
ejpam-3680	193	7	.	.	PUNCT
ejpam-3680	194	1	[	[	X
ejpam-3680	194	2	10	10	NUM
ejpam-3680	194	3	]	]	X
ejpam-3680	194	4	h.	h.	PROPN
ejpam-3680	194	5	m.	m.	PROPN
ejpam-3680	194	6	srivastava	srivastava	PROPN
ejpam-3680	194	7	,	,	PUNCT
ejpam-3680	194	8	b.	b.	PROPN
ejpam-3680	194	9	b.	b.	PROPN
ejpam-3680	194	10	jena	jena	PROPN
ejpam-3680	194	11	,	,	PUNCT
ejpam-3680	194	12	s.	s.	PROPN
ejpam-3680	194	13	k.	k.	PROPN
ejpam-3680	194	14	paikray	paikray	PROPN
ejpam-3680	194	15	,	,	PUNCT
ejpam-3680	194	16	and	and	CCONJ
ejpam-3680	194	17	u.	u.	PROPN
ejpam-3680	194	18	k.	k.	PROPN
ejpam-3680	194	19	misra	misra	PROPN
ejpam-3680	194	20	.	.	PUNCT
ejpam-3680	195	1	deferred	defer	VERB
ejpam-3680	195	2	weighted	weight	VERB
ejpam-3680	195	3	a	a	DET
ejpam-3680	195	4	-	-	PUNCT
ejpam-3680	195	5	statistical	statistical	ADJ
ejpam-3680	195	6	convergence	convergence	NOUN
ejpam-3680	195	7	based	base	VERB
ejpam-3680	195	8	upon	upon	SCONJ
ejpam-3680	195	9	the	the	DET
ejpam-3680	195	10	(	(	PUNCT
ejpam-3680	195	11	p	p	NOUN
ejpam-3680	195	12	,	,	PUNCT
ejpam-3680	195	13	q)-lagrange	q)-lagrange	NOUN
ejpam-3680	195	14	polynomials	polynomial	NOUN
ejpam-3680	195	15	and	and	CCONJ
ejpam-3680	195	16	its	its	PRON
ejpam-3680	195	17	applications	application	NOUN
ejpam-3680	195	18	to	to	ADP
ejpam-3680	195	19	approximation	approximation	NOUN
ejpam-3680	195	20	theorems	theorem	NOUN
ejpam-3680	195	21	.	.	PUNCT
ejpam-3680	196	1	j.	j.	PROPN
ejpam-3680	196	2	appl	appl	PROPN
ejpam-3680	196	3	.	.	PROPN
ejpam-3680	197	1	anal	anal	PROPN
ejpam-3680	197	2	.	.	PROPN
ejpam-3680	197	3	,	,	PUNCT
ejpam-3680	197	4	24:1–16	24:1–16	NUM
ejpam-3680	197	5	,	,	PUNCT
ejpam-3680	197	6	2018	2018	NUM
ejpam-3680	197	7	.	.	PUNCT
ejpam-3680	198	1	[	[	X
ejpam-3680	198	2	11	11	NUM
ejpam-3680	198	3	]	]	X
ejpam-3680	198	4	h.	h.	PROPN
ejpam-3680	198	5	m.	m.	PROPN
ejpam-3680	198	6	srivastava	srivastava	PROPN
ejpam-3680	198	7	,	,	PUNCT
ejpam-3680	198	8	b.	b.	PROPN
ejpam-3680	198	9	b.	b.	PROPN
ejpam-3680	198	10	jena	jena	PROPN
ejpam-3680	198	11	,	,	PUNCT
ejpam-3680	198	12	s.	s.	PROPN
ejpam-3680	198	13	k.	k.	PROPN
ejpam-3680	198	14	paikray	paikray	PROPN
ejpam-3680	198	15	,	,	PUNCT
ejpam-3680	198	16	and	and	CCONJ
ejpam-3680	198	17	u.	u.	PROPN
ejpam-3680	198	18	k.	k.	PROPN
ejpam-3680	198	19	misra	misra	PROPN
ejpam-3680	198	20	.	.	PUNCT
ejpam-3680	199	1	generalized	generalize	VERB
ejpam-3680	199	2	equistatistical	equistatistical	ADJ
ejpam-3680	199	3	convergence	convergence	NOUN
ejpam-3680	199	4	of	of	ADP
ejpam-3680	199	5	the	the	DET
ejpam-3680	199	6	deferred	defer	VERB
ejpam-3680	199	7	nörlund	nörlund	NOUN
ejpam-3680	199	8	summability	summability	NOUN
ejpam-3680	199	9	and	and	CCONJ
ejpam-3680	199	10	its	its	PRON
ejpam-3680	199	11	applications	application	NOUN
ejpam-3680	199	12	to	to	ADP
ejpam-3680	199	13	associated	associated	ADJ
ejpam-3680	199	14	approximation	approximation	NOUN
ejpam-3680	199	15	theorems	theorem	NOUN
ejpam-3680	199	16	.	.	PUNCT
ejpam-3680	200	1	rev	rev	PROPN
ejpam-3680	200	2	.	.	PROPN
ejpam-3680	200	3	r.	r.	PROPN
ejpam-3680	200	4	acad	acad	PROPN
ejpam-3680	200	5	.	.	PUNCT
ejpam-3680	201	1	cienc	cienc	PROPN
ejpam-3680	201	2	.	.	PUNCT
ejpam-3680	202	1	exactas	exactas	PROPN
ejpam-3680	202	2	f́ıs	f́ıs	PROPN
ejpam-3680	202	3	.	.	PUNCT
ejpam-3680	203	1	nat	nat	PROPN
ejpam-3680	203	2	.	.	PUNCT
ejpam-3680	204	1	ser	ser	PROPN
ejpam-3680	204	2	.	.	PUNCT
ejpam-3680	205	1	a	a	DET
ejpam-3680	205	2	mat	mat	NOUN
ejpam-3680	205	3	.	.	PUNCT
ejpam-3680	206	1	(	(	PUNCT
ejpam-3680	206	2	racsam	racsam	PROPN
ejpam-3680	206	3	)	)	PUNCT
ejpam-3680	206	4	,	,	PUNCT
ejpam-3680	206	5	112:1487–1501	112:1487–1501	NOUN
ejpam-3680	206	6	,	,	PUNCT
ejpam-3680	206	7	2018	2018	NUM
ejpam-3680	206	8	.	.	PUNCT
ejpam-3680	207	1	[	[	X
ejpam-3680	207	2	12	12	NUM
ejpam-3680	207	3	]	]	X
ejpam-3680	207	4	h.	h.	PROPN
ejpam-3680	207	5	m.	m.	PROPN
ejpam-3680	207	6	srivastava	srivastava	PROPN
ejpam-3680	207	7	,	,	PUNCT
ejpam-3680	207	8	b.	b.	PROPN
ejpam-3680	207	9	b.	b.	PROPN
ejpam-3680	207	10	jena	jena	PROPN
ejpam-3680	207	11	,	,	PUNCT
ejpam-3680	207	12	s.	s.	PROPN
ejpam-3680	207	13	k.	k.	PROPN
ejpam-3680	207	14	paikray	paikray	PROPN
ejpam-3680	207	15	,	,	PUNCT
ejpam-3680	207	16	and	and	CCONJ
ejpam-3680	207	17	u.	u.	PROPN
ejpam-3680	207	18	k.	k.	PROPN
ejpam-3680	207	19	misra	misra	PROPN
ejpam-3680	207	20	.	.	PUNCT
ejpam-3680	208	1	statistically	statistically	ADV
ejpam-3680	208	2	and	and	CCONJ
ejpam-3680	208	3	relatively	relatively	ADV
ejpam-3680	208	4	modular	modular	ADJ
ejpam-3680	208	5	deferred	defer	VERB
ejpam-3680	208	6	-	-	PUNCT
ejpam-3680	208	7	weighted	weight	VERB
ejpam-3680	208	8	summability	summability	NOUN
ejpam-3680	208	9	and	and	CCONJ
ejpam-3680	208	10	korovkin	korovkin	NOUN
ejpam-3680	208	11	-	-	PUNCT
ejpam-3680	208	12	type	type	NOUN
ejpam-3680	208	13	approximation	approximation	NOUN
ejpam-3680	208	14	theorems	theorem	NOUN
ejpam-3680	208	15	.	.	PUNCT
ejpam-3680	208	16	symmetry	symmetry	PROPN
ejpam-3680	208	17	,	,	PUNCT
ejpam-3680	208	18	11:1–20	11:1–20	NUM
ejpam-3680	208	19	,	,	PUNCT
ejpam-3680	208	20	2019	2019	NUM
ejpam-3680	208	21	.	.	PUNCT
ejpam-3680	209	1	[	[	X
ejpam-3680	209	2	13	13	NUM
ejpam-3680	209	3	]	]	PUNCT
ejpam-3680	209	4	ö.	ö.	PROPN
ejpam-3680	209	5	talo	talo	NOUN
ejpam-3680	209	6	and	and	CCONJ
ejpam-3680	209	7	c.	c.	PROPN
ejpam-3680	209	8	bal	bal	PROPN
ejpam-3680	209	9	.	.	PUNCT
ejpam-3680	210	1	on	on	ADP
ejpam-3680	210	2	statistical	statistical	ADJ
ejpam-3680	210	3	summability	summability	NOUN
ejpam-3680	210	4	(	(	PUNCT
ejpam-3680	210	5	n	n	CCONJ
ejpam-3680	210	6	,	,	PUNCT
ejpam-3680	210	7	p	p	NOUN
ejpam-3680	210	8	)	)	PUNCT
ejpam-3680	210	9	of	of	ADP
ejpam-3680	210	10	sequences	sequence	NOUN
ejpam-3680	210	11	of	of	ADP
ejpam-3680	210	12	fuzzy	fuzzy	ADJ
ejpam-3680	210	13	numbers	number	NOUN
ejpam-3680	210	14	.	.	PUNCT
ejpam-3680	211	1	filomat	filomat	NOUN
ejpam-3680	211	2	,	,	PUNCT
ejpam-3680	211	3	30:873–884	30:873–884	NUM
ejpam-3680	211	4	,	,	PUNCT
ejpam-3680	211	5	2016	2016	NUM
ejpam-3680	211	6	.	.	PUNCT
ejpam-3680	212	1	[	[	X
ejpam-3680	212	2	14	14	NUM
ejpam-3680	212	3	]	]	X
ejpam-3680	212	4	b.	b.	PROPN
ejpam-3680	212	5	c.	c.	PROPN
ejpam-3680	212	6	tripathy	tripathy	PROPN
ejpam-3680	212	7	and	and	CCONJ
ejpam-3680	212	8	a.	a.	NOUN
ejpam-3680	212	9	baruah	baruah	PROPN
ejpam-3680	212	10	.	.	PUNCT
ejpam-3680	213	1	new	new	ADJ
ejpam-3680	213	2	type	type	NOUN
ejpam-3680	213	3	of	of	ADP
ejpam-3680	213	4	difference	difference	NOUN
ejpam-3680	213	5	sequence	sequence	NOUN
ejpam-3680	213	6	spaces	space	NOUN
ejpam-3680	213	7	of	of	ADP
ejpam-3680	213	8	fuzzy	fuzzy	ADJ
ejpam-3680	213	9	real	real	ADJ
ejpam-3680	213	10	numbers	number	NOUN
ejpam-3680	213	11	.	.	PUNCT
ejpam-3680	214	1	math	math	NOUN
ejpam-3680	214	2	.	.	PUNCT
ejpam-3680	215	1	model	model	PROPN
ejpam-3680	215	2	.	.	PUNCT
ejpam-3680	216	1	anal	anal	PROPN
ejpam-3680	216	2	.	.	PROPN
ejpam-3680	216	3	,	,	PUNCT
ejpam-3680	216	4	14:391–397	14:391–397	PROPN
ejpam-3680	216	5	,	,	PUNCT
ejpam-3680	216	6	2009	2009	NUM
ejpam-3680	216	7	.	.	PUNCT
ejpam-3680	217	1	[	[	X
ejpam-3680	217	2	15	15	NUM
ejpam-3680	217	3	]	]	X
ejpam-3680	217	4	b.	b.	PROPN
ejpam-3680	217	5	c.	c.	PROPN
ejpam-3680	217	6	tripathy	tripathy	PROPN
ejpam-3680	217	7	and	and	CCONJ
ejpam-3680	217	8	a.	a.	NOUN
ejpam-3680	217	9	baruah	baruah	PROPN
ejpam-3680	217	10	.	.	PUNCT
ejpam-3680	218	1	nörlund	nörlund	ADV
ejpam-3680	218	2	and	and	CCONJ
ejpam-3680	218	3	riesz	riesz	VERB
ejpam-3680	218	4	mean	mean	NOUN
ejpam-3680	218	5	of	of	ADP
ejpam-3680	218	6	sequences	sequence	NOUN
ejpam-3680	218	7	of	of	ADP
ejpam-3680	218	8	fuzzy	fuzzy	ADJ
ejpam-3680	218	9	real	real	ADJ
ejpam-3680	218	10	numbers	number	NOUN
ejpam-3680	218	11	.	.	PUNCT
ejpam-3680	219	1	appl	appl	PROPN
ejpam-3680	219	2	.	.	PROPN
ejpam-3680	219	3	math	math	PROPN
ejpam-3680	219	4	.	.	PUNCT
ejpam-3680	220	1	lett	lett	PROPN
ejpam-3680	220	2	.	.	PROPN
ejpam-3680	220	3	,	,	PUNCT
ejpam-3680	220	4	23:651–655	23:651–655	NUM
ejpam-3680	220	5	,	,	PUNCT
ejpam-3680	220	6	2010	2010	NUM
ejpam-3680	220	7	.	.	PUNCT
ejpam-3680	221	1	references	reference	NOUN
ejpam-3680	221	2	1096	1096	NUM
ejpam-3680	222	1	[	[	X
ejpam-3680	222	2	16	16	NUM
ejpam-3680	222	3	]	]	X
ejpam-3680	222	4	b.	b.	PROPN
ejpam-3680	222	5	c.	c.	PROPN
ejpam-3680	222	6	tripathy	tripathy	PROPN
ejpam-3680	222	7	and	and	CCONJ
ejpam-3680	222	8	b.	b.	PROPN
ejpam-3680	222	9	sarma	sarma	PROPN
ejpam-3680	222	10	.	.	PUNCT
ejpam-3680	223	1	sequence	sequence	NOUN
ejpam-3680	223	2	spaces	space	NOUN
ejpam-3680	223	3	of	of	ADP
ejpam-3680	223	4	fuzzy	fuzzy	ADJ
ejpam-3680	223	5	real	real	ADJ
ejpam-3680	223	6	numbers	number	NOUN
ejpam-3680	223	7	defined	define	VERB
ejpam-3680	223	8	by	by	ADP
ejpam-3680	223	9	orlicz	orlicz	ADJ
ejpam-3680	223	10	functions	function	NOUN
ejpam-3680	223	11	.	.	PUNCT
ejpam-3680	224	1	math	math	NOUN
ejpam-3680	224	2	.	.	PUNCT
ejpam-3680	225	1	slovaca	slovaca	PROPN
ejpam-3680	225	2	,	,	PUNCT
ejpam-3680	225	3	58:621–628	58:621–628	PROPN
ejpam-3680	225	4	,	,	PUNCT
ejpam-3680	225	5	2008	2008	NUM
ejpam-3680	225	6	.	.	PUNCT
ejpam-3680	226	1	[	[	X
ejpam-3680	226	2	17	17	NUM
ejpam-3680	226	3	]	]	X
ejpam-3680	226	4	e.	e.	PROPN
ejpam-3680	226	5	yavuz	yavuz	PROPN
ejpam-3680	226	6	.	.	PROPN
ejpam-3680	226	7	euler	euler	PROPN
ejpam-3680	226	8	summability	summability	PROPN
ejpam-3680	226	9	method	method	NOUN
ejpam-3680	226	10	of	of	ADP
ejpam-3680	226	11	sequences	sequence	NOUN
ejpam-3680	226	12	of	of	ADP
ejpam-3680	226	13	fuzzy	fuzzy	ADJ
ejpam-3680	226	14	numbers	number	NOUN
ejpam-3680	226	15	and	and	CCONJ
ejpam-3680	226	16	a	a	DET
ejpam-3680	226	17	tauberian	tauberian	ADJ
ejpam-3680	226	18	theorem	theorem	NOUN
ejpam-3680	226	19	.	.	PUNCT
ejpam-3680	227	1	j.	j.	PROPN
ejpam-3680	227	2	intell	intell	PROPN
ejpam-3680	227	3	.	.	PUNCT
ejpam-3680	228	1	fuzzy	fuzzy	ADJ
ejpam-3680	228	2	syst	syst	PROPN
ejpam-3680	228	3	.	.	PUNCT
ejpam-3680	228	4	,	,	PUNCT
ejpam-3680	228	5	31:937–943	31:937–943	PROPN
ejpam-3680	228	6	,	,	PUNCT
ejpam-3680	228	7	2017	2017	NUM
ejpam-3680	228	8	.	.	PUNCT
ejpam-3680	229	1	[	[	X
ejpam-3680	229	2	18	18	NUM
ejpam-3680	229	3	]	]	X
ejpam-3680	229	4	l.	l.	PROPN
ejpam-3680	229	5	a.	a.	PROPN
ejpam-3680	229	6	zadeh	zadeh	PROPN
ejpam-3680	229	7	.	.	PUNCT
ejpam-3680	229	8	fuzzy	fuzzy	ADJ
ejpam-3680	229	9	sets	set	NOUN
ejpam-3680	229	10	.	.	PUNCT
ejpam-3680	230	1	inform	inform	NOUN
ejpam-3680	230	2	.	.	PUNCT
ejpam-3680	231	1	and	and	CCONJ
ejpam-3680	231	2	control	control	PROPN
ejpam-3680	231	3	,	,	PUNCT
ejpam-3680	231	4	8:29–44	8:29–44	NUM
ejpam-3680	231	5	,	,	PUNCT
ejpam-3680	231	6	1965	1965	NUM
ejpam-3680	231	7	.	.	PUNCT