id	sid	tid	token	lemma	pos
ejpam-3711	1	1	european	european	PROPN
ejpam-3711	1	2	journal	journal	PROPN
ejpam-3711	1	3	of	of	ADP
ejpam-3711	1	4	pure	pure	ADJ
ejpam-3711	1	5	and	and	CCONJ
ejpam-3711	1	6	applied	apply	VERB
ejpam-3711	1	7	mathematics	mathematic	NOUN
ejpam-3711	1	8	vol	vol	NOUN
ejpam-3711	1	9	.	.	PROPN
ejpam-3711	2	1	13	13	NUM
ejpam-3711	2	2	,	,	PUNCT
ejpam-3711	2	3	no	no	INTJ
ejpam-3711	2	4	.	.	NOUN
ejpam-3711	2	5	5	5	NUM
ejpam-3711	2	6	,	,	PUNCT
ejpam-3711	2	7	2020	2020	NUM
ejpam-3711	2	8	,	,	PUNCT
ejpam-3711	2	9	1212	1212	NUM
ejpam-3711	2	10	-	-	SYM
ejpam-3711	2	11	1230	1230	NUM
ejpam-3711	2	12	issn	issn	PROPN
ejpam-3711	2	13	1307	1307	NUM
ejpam-3711	2	14	-	-	SYM
ejpam-3711	2	15	5543	5543	NUM
ejpam-3711	2	16	–	–	PUNCT
ejpam-3711	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3711	2	18	published	publish	VERB
ejpam-3711	2	19	by	by	ADP
ejpam-3711	2	20	new	new	PROPN
ejpam-3711	2	21	york	york	PROPN
ejpam-3711	2	22	business	business	PROPN
ejpam-3711	2	23	global	global	ADJ
ejpam-3711	2	24	special	special	ADJ
ejpam-3711	2	25	issue	issue	NOUN
ejpam-3711	2	26	dedicated	dedicate	VERB
ejpam-3711	2	27	to	to	ADP
ejpam-3711	2	28	professor	professor	NOUN
ejpam-3711	2	29	hari	hari	PROPN
ejpam-3711	2	30	m.	m.	PROPN
ejpam-3711	2	31	srivastava	srivastava	PROPN
ejpam-3711	2	32	on	on	ADP
ejpam-3711	2	33	the	the	DET
ejpam-3711	2	34	occasion	occasion	NOUN
ejpam-3711	2	35	of	of	ADP
ejpam-3711	2	36	his	his	PRON
ejpam-3711	2	37	80th	80th	ADJ
ejpam-3711	2	38	birthday	birthday	NOUN
ejpam-3711	2	39	a	a	DET
ejpam-3711	2	40	certain	certain	ADJ
ejpam-3711	2	41	class	class	NOUN
ejpam-3711	2	42	of	of	ADP
ejpam-3711	2	43	relatively	relatively	ADV
ejpam-3711	2	44	equi	equi	NOUN
ejpam-3711	2	45	-	-	PUNCT
ejpam-3711	2	46	statistical	statistical	ADJ
ejpam-3711	2	47	fuzzy	fuzzy	ADJ
ejpam-3711	2	48	approximation	approximation	NOUN
ejpam-3711	2	49	theorems	theorem	NOUN
ejpam-3711	2	50	susanta	susanta	VERB
ejpam-3711	2	51	kumar	kumar	PROPN
ejpam-3711	2	52	paikray1	paikray1	PROPN
ejpam-3711	2	53	,	,	PUNCT
ejpam-3711	2	54	priyadarsini	priyadarsini	PROPN
ejpam-3711	2	55	parida2,∗	parida2,∗	PROPN
ejpam-3711	2	56	,	,	PUNCT
ejpam-3711	2	57	s.	s.	PROPN
ejpam-3711	2	58	a.	a.	PROPN
ejpam-3711	2	59	mohiuddine3,4	mohiuddine3,4	PROPN
ejpam-3711	2	60	1	1	NUM
ejpam-3711	2	61	department	department	NOUN
ejpam-3711	2	62	of	of	ADP
ejpam-3711	2	63	mathematics	mathematic	NOUN
ejpam-3711	2	64	,	,	PUNCT
ejpam-3711	2	65	veer	veer	NOUN
ejpam-3711	2	66	surendra	surendra	PROPN
ejpam-3711	2	67	sai	sai	PROPN
ejpam-3711	2	68	university	university	PROPN
ejpam-3711	2	69	of	of	ADP
ejpam-3711	2	70	technology	technology	NOUN
ejpam-3711	2	71	,	,	PUNCT
ejpam-3711	2	72	burla	burla	PROPN
ejpam-3711	2	73	768018	768018	NUM
ejpam-3711	2	74	,	,	PUNCT
ejpam-3711	2	75	odisha	odisha	PROPN
ejpam-3711	2	76	,	,	PUNCT
ejpam-3711	2	77	india	india	PROPN
ejpam-3711	2	78	2	2	NUM
ejpam-3711	2	79	department	department	NOUN
ejpam-3711	2	80	of	of	ADP
ejpam-3711	2	81	mathematics	mathematic	NOUN
ejpam-3711	2	82	,	,	PUNCT
ejpam-3711	2	83	kuntala	kuntala	PROPN
ejpam-3711	2	84	kumari	kumari	PROPN
ejpam-3711	2	85	sabat	sabat	PROPN
ejpam-3711	2	86	women	women	PROPN
ejpam-3711	2	87	’s	’s	PART
ejpam-3711	2	88	college	college	NOUN
ejpam-3711	2	89	,	,	PUNCT
ejpam-3711	2	90	balasore	balasore	PROPN
ejpam-3711	2	91	756003	756003	NUM
ejpam-3711	2	92	,	,	PUNCT
ejpam-3711	2	93	odisha	odisha	PROPN
ejpam-3711	2	94	,	,	PUNCT
ejpam-3711	2	95	india	india	PROPN
ejpam-3711	2	96	3	3	PROPN
ejpam-3711	2	97	department	department	PROPN
ejpam-3711	2	98	of	of	ADP
ejpam-3711	2	99	general	general	ADJ
ejpam-3711	2	100	required	require	VERB
ejpam-3711	2	101	courses	course	NOUN
ejpam-3711	2	102	,	,	PUNCT
ejpam-3711	2	103	mathematics	mathematic	NOUN
ejpam-3711	2	104	,	,	PUNCT
ejpam-3711	2	105	faculty	faculty	NOUN
ejpam-3711	2	106	of	of	ADP
ejpam-3711	2	107	applied	apply	VERB
ejpam-3711	2	108	studies	study	NOUN
ejpam-3711	2	109	,	,	PUNCT
ejpam-3711	2	110	king	king	PROPN
ejpam-3711	2	111	abdulaziz	abdulaziz	PROPN
ejpam-3711	2	112	university	university	PROPN
ejpam-3711	2	113	,	,	PUNCT
ejpam-3711	2	114	jeddah	jeddah	PROPN
ejpam-3711	2	115	21589	21589	NUM
ejpam-3711	2	116	,	,	PUNCT
ejpam-3711	2	117	saudi	saudi	PROPN
ejpam-3711	2	118	arabia	arabia	PROPN
ejpam-3711	2	119	4	4	NUM
ejpam-3711	2	120	operator	operator	NOUN
ejpam-3711	2	121	theory	theory	NOUN
ejpam-3711	2	122	and	and	CCONJ
ejpam-3711	2	123	applications	application	NOUN
ejpam-3711	2	124	research	research	NOUN
ejpam-3711	2	125	group	group	NOUN
ejpam-3711	2	126	,	,	PUNCT
ejpam-3711	2	127	department	department	NOUN
ejpam-3711	2	128	of	of	ADP
ejpam-3711	2	129	mathematics	mathematic	NOUN
ejpam-3711	2	130	,	,	PUNCT
ejpam-3711	2	131	king	king	PROPN
ejpam-3711	2	132	abdulaziz	abdulaziz	PROPN
ejpam-3711	2	133	university	university	PROPN
ejpam-3711	2	134	,	,	PUNCT
ejpam-3711	2	135	jeddah	jeddah	PROPN
ejpam-3711	2	136	21589	21589	NUM
ejpam-3711	2	137	,	,	PUNCT
ejpam-3711	2	138	saudi	saudi	PROPN
ejpam-3711	2	139	arabia	arabia	PROPN
ejpam-3711	2	140	abstract	abstract	NOUN
ejpam-3711	2	141	.	.	PUNCT
ejpam-3711	3	1	the	the	DET
ejpam-3711	3	2	aim	aim	NOUN
ejpam-3711	3	3	of	of	ADP
ejpam-3711	3	4	this	this	DET
ejpam-3711	3	5	paper	paper	NOUN
ejpam-3711	3	6	is	be	AUX
ejpam-3711	3	7	to	to	PART
ejpam-3711	3	8	introduce	introduce	VERB
ejpam-3711	3	9	the	the	DET
ejpam-3711	3	10	notions	notion	NOUN
ejpam-3711	3	11	of	of	ADP
ejpam-3711	3	12	relatively	relatively	ADV
ejpam-3711	3	13	deferred	defer	VERB
ejpam-3711	3	14	nörlund	nörlund	ADJ
ejpam-3711	3	15	uniform	uniform	ADJ
ejpam-3711	3	16	statistical	statistical	ADJ
ejpam-3711	3	17	convergence	convergence	NOUN
ejpam-3711	3	18	as	as	ADV
ejpam-3711	3	19	well	well	ADV
ejpam-3711	3	20	as	as	ADP
ejpam-3711	3	21	relatively	relatively	ADV
ejpam-3711	3	22	deferred	defer	VERB
ejpam-3711	3	23	nörlund	nörlund	NOUN
ejpam-3711	3	24	point	point	NOUN
ejpam-3711	3	25	-	-	PUNCT
ejpam-3711	3	26	wise	wise	ADJ
ejpam-3711	3	27	statistical	statistical	ADJ
ejpam-3711	3	28	convergence	convergence	NOUN
ejpam-3711	3	29	through	through	ADP
ejpam-3711	3	30	the	the	DET
ejpam-3711	3	31	difference	difference	NOUN
ejpam-3711	3	32	operator	operator	NOUN
ejpam-3711	3	33	of	of	ADP
ejpam-3711	3	34	fractional	fractional	ADJ
ejpam-3711	3	35	order	order	NOUN
ejpam-3711	3	36	of	of	ADP
ejpam-3711	3	37	fuzzy	fuzzy	ADJ
ejpam-3711	3	38	-	-	PUNCT
ejpam-3711	3	39	number	number	NOUN
ejpam-3711	3	40	-	-	PUNCT
ejpam-3711	3	41	valued	value	VERB
ejpam-3711	3	42	sequence	sequence	NOUN
ejpam-3711	3	43	of	of	ADP
ejpam-3711	3	44	functions	function	NOUN
ejpam-3711	3	45	,	,	PUNCT
ejpam-3711	3	46	and	and	CCONJ
ejpam-3711	3	47	a	a	DET
ejpam-3711	3	48	type	type	NOUN
ejpam-3711	3	49	of	of	ADP
ejpam-3711	3	50	convergence	convergence	NOUN
ejpam-3711	3	51	which	which	PRON
ejpam-3711	3	52	lies	lie	VERB
ejpam-3711	3	53	between	between	ADP
ejpam-3711	3	54	aforesaid	aforesaid	ADJ
ejpam-3711	3	55	notions	notion	NOUN
ejpam-3711	3	56	,	,	PUNCT
ejpam-3711	3	57	namely	namely	ADV
ejpam-3711	3	58	,	,	PUNCT
ejpam-3711	3	59	relatively	relatively	ADV
ejpam-3711	3	60	deferred	deferred	ADJ
ejpam-3711	3	61	nörlund	nörlund	NOUN
ejpam-3711	3	62	equi	equi	NOUN
ejpam-3711	3	63	-	-	PUNCT
ejpam-3711	3	64	statistical	statistical	ADJ
ejpam-3711	3	65	convergence	convergence	NOUN
ejpam-3711	3	66	.	.	PUNCT
ejpam-3711	4	1	also	also	ADV
ejpam-3711	4	2	,	,	PUNCT
ejpam-3711	4	3	we	we	PRON
ejpam-3711	4	4	investigate	investigate	VERB
ejpam-3711	4	5	the	the	DET
ejpam-3711	4	6	inclusion	inclusion	NOUN
ejpam-3711	4	7	relations	relation	NOUN
ejpam-3711	4	8	among	among	ADP
ejpam-3711	4	9	these	these	DET
ejpam-3711	4	10	aforesaid	aforesaid	ADJ
ejpam-3711	4	11	notions	notion	NOUN
ejpam-3711	4	12	.	.	PUNCT
ejpam-3711	5	1	as	as	ADP
ejpam-3711	5	2	an	an	DET
ejpam-3711	5	3	application	application	NOUN
ejpam-3711	5	4	point	point	NOUN
ejpam-3711	5	5	of	of	ADP
ejpam-3711	5	6	view	view	NOUN
ejpam-3711	5	7	,	,	PUNCT
ejpam-3711	5	8	we	we	PRON
ejpam-3711	5	9	establish	establish	VERB
ejpam-3711	5	10	a	a	DET
ejpam-3711	5	11	fuzzy	fuzzy	ADJ
ejpam-3711	5	12	approximation	approximation	NOUN
ejpam-3711	5	13	(	(	PUNCT
ejpam-3711	5	14	korovkin	korovkin	NOUN
ejpam-3711	5	15	-	-	PUNCT
ejpam-3711	5	16	type	type	NOUN
ejpam-3711	5	17	)	)	PUNCT
ejpam-3711	5	18	theorem	theorem	NOUN
ejpam-3711	5	19	by	by	ADP
ejpam-3711	5	20	using	use	VERB
ejpam-3711	5	21	our	our	PRON
ejpam-3711	5	22	new	new	ADJ
ejpam-3711	5	23	notion	notion	NOUN
ejpam-3711	5	24	of	of	ADP
ejpam-3711	5	25	relatively	relatively	ADV
ejpam-3711	5	26	deferred	deferred	ADJ
ejpam-3711	5	27	nörlund	nörlund	NOUN
ejpam-3711	5	28	equi	equi	NOUN
ejpam-3711	5	29	-	-	PUNCT
ejpam-3711	5	30	statistical	statistical	ADJ
ejpam-3711	5	31	convergence	convergence	NOUN
ejpam-3711	5	32	and	and	CCONJ
ejpam-3711	5	33	intimate	intimate	VERB
ejpam-3711	5	34	that	that	SCONJ
ejpam-3711	5	35	this	this	DET
ejpam-3711	5	36	result	result	NOUN
ejpam-3711	5	37	is	be	AUX
ejpam-3711	5	38	a	a	DET
ejpam-3711	5	39	non	non	ADJ
ejpam-3711	5	40	-	-	ADJ
ejpam-3711	5	41	trivial	trivial	ADJ
ejpam-3711	5	42	generalization	generalization	NOUN
ejpam-3711	5	43	of	of	ADP
ejpam-3711	5	44	several	several	ADJ
ejpam-3711	5	45	well	well	ADV
ejpam-3711	5	46	-	-	PUNCT
ejpam-3711	5	47	established	establish	VERB
ejpam-3711	5	48	fuzzy	fuzzy	ADJ
ejpam-3711	5	49	korovkintype	korovkintype	NOUN
ejpam-3711	5	50	theorems	theorem	NOUN
ejpam-3711	5	51	which	which	PRON
ejpam-3711	5	52	were	be	AUX
ejpam-3711	5	53	presented	present	VERB
ejpam-3711	5	54	in	in	ADP
ejpam-3711	5	55	earlier	early	ADJ
ejpam-3711	5	56	works	work	NOUN
ejpam-3711	5	57	.	.	PUNCT
ejpam-3711	6	1	moreover	moreover	ADV
ejpam-3711	6	2	,	,	PUNCT
ejpam-3711	6	3	we	we	PRON
ejpam-3711	6	4	estimate	estimate	VERB
ejpam-3711	6	5	the	the	DET
ejpam-3711	6	6	fuzzy	fuzzy	ADJ
ejpam-3711	6	7	rate	rate	NOUN
ejpam-3711	6	8	of	of	ADP
ejpam-3711	6	9	the	the	DET
ejpam-3711	6	10	relatively	relatively	ADV
ejpam-3711	6	11	deferred	deferred	ADJ
ejpam-3711	6	12	nörlund	nörlund	NOUN
ejpam-3711	6	13	equi	equi	NOUN
ejpam-3711	6	14	-	-	PUNCT
ejpam-3711	6	15	statistical	statistical	ADJ
ejpam-3711	6	16	convergence	convergence	NOUN
ejpam-3711	6	17	involving	involve	VERB
ejpam-3711	6	18	a	a	DET
ejpam-3711	6	19	non	non	ADJ
ejpam-3711	6	20	-	-	ADJ
ejpam-3711	6	21	zero	zero	NUM
ejpam-3711	6	22	scale	scale	NOUN
ejpam-3711	6	23	function	function	NOUN
ejpam-3711	6	24	by	by	ADP
ejpam-3711	6	25	using	use	VERB
ejpam-3711	6	26	the	the	DET
ejpam-3711	6	27	fuzzy	fuzzy	ADJ
ejpam-3711	6	28	modulus	modulus	NOUN
ejpam-3711	6	29	of	of	ADP
ejpam-3711	6	30	continuity	continuity	NOUN
ejpam-3711	6	31	.	.	PUNCT
ejpam-3711	7	1	2020	2020	NUM
ejpam-3711	7	2	mathematics	mathematic	NOUN
ejpam-3711	7	3	subject	subject	NOUN
ejpam-3711	7	4	classifications	classification	NOUN
ejpam-3711	7	5	:	:	PUNCT
ejpam-3711	7	6	40a05	40a05	NUM
ejpam-3711	7	7	,	,	PUNCT
ejpam-3711	7	8	40g15	40g15	NUM
ejpam-3711	7	9	,	,	PUNCT
ejpam-3711	7	10	41a36	41a36	NUM
ejpam-3711	7	11	,	,	PUNCT
ejpam-3711	7	12	46s40	46s40	NUM
ejpam-3711	7	13	,	,	PUNCT
ejpam-3711	7	14	47s40	47s40	NUM
ejpam-3711	7	15	key	key	ADJ
ejpam-3711	7	16	words	word	NOUN
ejpam-3711	7	17	and	and	CCONJ
ejpam-3711	7	18	phrases	phrase	NOUN
ejpam-3711	7	19	:	:	PUNCT
ejpam-3711	7	20	deferred	defer	VERB
ejpam-3711	7	21	nörlund	nörlund	ADV
ejpam-3711	7	22	mean	mean	VERB
ejpam-3711	7	23	,	,	PUNCT
ejpam-3711	7	24	relatively	relatively	ADV
ejpam-3711	7	25	statistical	statistical	ADJ
ejpam-3711	7	26	uniform	uniform	ADJ
ejpam-3711	7	27	convergence	convergence	NOUN
ejpam-3711	7	28	,	,	PUNCT
ejpam-3711	7	29	relatively	relatively	ADV
ejpam-3711	7	30	equi	equi	NOUN
ejpam-3711	7	31	-	-	PUNCT
ejpam-3711	7	32	statistical	statistical	ADJ
ejpam-3711	7	33	convergence	convergence	NOUN
ejpam-3711	7	34	,	,	PUNCT
ejpam-3711	7	35	fuzzy	fuzzy	ADJ
ejpam-3711	7	36	positive	positive	ADJ
ejpam-3711	7	37	linear	linear	NOUN
ejpam-3711	7	38	operator	operator	NOUN
ejpam-3711	7	39	,	,	PUNCT
ejpam-3711	7	40	fuzzy	fuzzy	ADJ
ejpam-3711	7	41	korovkin	korovkin	NOUN
ejpam-3711	7	42	-	-	PUNCT
ejpam-3711	7	43	type	type	NOUN
ejpam-3711	7	44	theorem	theorem	ADJ
ejpam-3711	7	45	,	,	PUNCT
ejpam-3711	7	46	fuzzy	fuzzy	ADJ
ejpam-3711	7	47	rate	rate	NOUN
ejpam-3711	7	48	of	of	ADP
ejpam-3711	7	49	relatively	relatively	ADV
ejpam-3711	7	50	equi	equi	NOUN
ejpam-3711	7	51	-	-	PUNCT
ejpam-3711	7	52	statistical	statistical	ADJ
ejpam-3711	7	53	convergence	convergence	NOUN
ejpam-3711	7	54	∗corresponding	∗corresponde	VERB
ejpam-3711	7	55	author	author	NOUN
ejpam-3711	7	56	.	.	PUNCT
ejpam-3711	8	1	doi	doi	NOUN
ejpam-3711	8	2	:	:	PUNCT
ejpam-3711	8	3	https://doi.org/10.29020/nybg.ejpam.v13i5.3711	https://doi.org/10.29020/nybg.ejpam.v13i5.3711	NOUN
ejpam-3711	8	4	email	email	NOUN
ejpam-3711	8	5	addresses	address	NOUN
ejpam-3711	8	6	:	:	PUNCT
ejpam-3711	8	7	skpaikray	skpaikray	ADJ
ejpam-3711	8	8	math@vssut.ac.in	math@vssut.ac.in	PROPN
ejpam-3711	8	9	(	(	PUNCT
ejpam-3711	8	10	s.	s.	PROPN
ejpam-3711	8	11	k.	k.	PROPN
ejpam-3711	8	12	paikray	paikray	PROPN
ejpam-3711	8	13	)	)	PUNCT
ejpam-3711	8	14	,	,	PUNCT
ejpam-3711	8	15	priyadarsiniparida1@gmail.com	priyadarsiniparida1@gmail.com	X
ejpam-3711	8	16	(	(	PUNCT
ejpam-3711	8	17	p.	p.	PROPN
ejpam-3711	8	18	parida	parida	PROPN
ejpam-3711	8	19	)	)	PUNCT
ejpam-3711	8	20	,	,	PUNCT
ejpam-3711	8	21	mohiuddine@gmail.com	mohiuddine@gmail.com	PROPN
ejpam-3711	8	22	(	(	PUNCT
ejpam-3711	8	23	s.	s.	PROPN
ejpam-3711	8	24	a.	a.	PROPN
ejpam-3711	8	25	mohiuddine	mohiuddine	PROPN
ejpam-3711	8	26	)	)	PUNCT
ejpam-3711	8	27	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-3711	8	28	1212	1212	NUM
ejpam-3711	9	1	c	c	NOUN
ejpam-3711	9	2	©	©	PROPN
ejpam-3711	9	3	2020	2020	NUM
ejpam-3711	9	4	ejpam	ejpam	VERB
ejpam-3711	9	5	all	all	DET
ejpam-3711	9	6	rights	right	NOUN
ejpam-3711	9	7	reserved	reserve	VERB
ejpam-3711	9	8	.	.	PUNCT
ejpam-3711	10	1	s.	s.	PROPN
ejpam-3711	10	2	k.	k.	PROPN
ejpam-3711	10	3	paikray	paikray	PROPN
ejpam-3711	10	4	,	,	PUNCT
ejpam-3711	10	5	p.	p.	PROPN
ejpam-3711	10	6	parida	parida	PROPN
ejpam-3711	10	7	,	,	PUNCT
ejpam-3711	10	8	s.	s.	PROPN
ejpam-3711	10	9	a.	a.	PROPN
ejpam-3711	10	10	mohiuddine	mohiuddine	PROPN
ejpam-3711	10	11	/	/	SYM
ejpam-3711	10	12	eur	eur	PROPN
ejpam-3711	10	13	.	.	PUNCT
ejpam-3711	11	1	j.	j.	PROPN
ejpam-3711	11	2	pure	pure	PROPN
ejpam-3711	11	3	appl	appl	PROPN
ejpam-3711	11	4	.	.	PROPN
ejpam-3711	11	5	math	math	PROPN
ejpam-3711	11	6	,	,	PUNCT
ejpam-3711	11	7	13	13	NUM
ejpam-3711	11	8	(	(	PUNCT
ejpam-3711	11	9	5	5	NUM
ejpam-3711	11	10	)	)	PUNCT
ejpam-3711	11	11	(	(	PUNCT
ejpam-3711	11	12	2020	2020	NUM
ejpam-3711	11	13	)	)	PUNCT
ejpam-3711	11	14	,	,	PUNCT
ejpam-3711	11	15	1212	1212	NUM
ejpam-3711	11	16	-	-	SYM
ejpam-3711	11	17	1230	1230	NUM
ejpam-3711	11	18	1213	1213	NUM
ejpam-3711	11	19	1	1	NUM
ejpam-3711	11	20	.	.	PUNCT
ejpam-3711	12	1	introduction	introduction	NOUN
ejpam-3711	12	2	and	and	CCONJ
ejpam-3711	12	3	preliminaries	preliminary	NOUN
ejpam-3711	12	4	moore	moore	NOUN
ejpam-3711	13	1	[	[	X
ejpam-3711	13	2	31	31	NUM
ejpam-3711	13	3	]	]	PUNCT
ejpam-3711	13	4	was	be	AUX
ejpam-3711	13	5	the	the	DET
ejpam-3711	13	6	first	first	ADJ
ejpam-3711	13	7	who	who	PRON
ejpam-3711	13	8	presented	present	VERB
ejpam-3711	13	9	the	the	DET
ejpam-3711	13	10	notion	notion	NOUN
ejpam-3711	13	11	of	of	ADP
ejpam-3711	13	12	of	of	ADP
ejpam-3711	13	13	uniform	uniform	ADJ
ejpam-3711	13	14	convergence	convergence	NOUN
ejpam-3711	13	15	of	of	ADP
ejpam-3711	13	16	sequence	sequence	NOUN
ejpam-3711	13	17	of	of	ADP
ejpam-3711	13	18	functions	function	NOUN
ejpam-3711	13	19	associated	associate	VERB
ejpam-3711	13	20	with	with	ADP
ejpam-3711	13	21	a	a	DET
ejpam-3711	13	22	scale	scale	NOUN
ejpam-3711	13	23	function	function	NOUN
ejpam-3711	13	24	,	,	PUNCT
ejpam-3711	13	25	and	and	CCONJ
ejpam-3711	13	26	later	later	ADV
ejpam-3711	13	27	chittenden	chittenden	PROPN
ejpam-3711	14	1	[	[	X
ejpam-3711	14	2	12	12	NUM
ejpam-3711	14	3	]	]	PUNCT
ejpam-3711	14	4	studied	study	VERB
ejpam-3711	14	5	this	this	DET
ejpam-3711	14	6	concept	concept	NOUN
ejpam-3711	14	7	.	.	PUNCT
ejpam-3711	15	1	recalling	recall	VERB
ejpam-3711	15	2	this	this	DET
ejpam-3711	15	3	concept	concept	NOUN
ejpam-3711	15	4	,	,	PUNCT
ejpam-3711	15	5	a	a	DET
ejpam-3711	15	6	sequence	sequence	NOUN
ejpam-3711	15	7	of	of	ADP
ejpam-3711	15	8	functions	function	NOUN
ejpam-3711	15	9	(	(	PUNCT
ejpam-3711	15	10	fn	fn	NOUN
ejpam-3711	15	11	)	)	PUNCT
ejpam-3711	15	12	defined	define	VERB
ejpam-3711	15	13	over	over	ADP
ejpam-3711	15	14	[	[	X
ejpam-3711	15	15	a	a	DET
ejpam-3711	15	16	,	,	PUNCT
ejpam-3711	15	17	b	b	NOUN
ejpam-3711	15	18	]	]	X
ejpam-3711	15	19	converges	converge	VERB
ejpam-3711	15	20	relatively	relatively	ADV
ejpam-3711	15	21	uniformly	uniformly	ADV
ejpam-3711	15	22	to	to	ADP
ejpam-3711	15	23	a	a	DET
ejpam-3711	15	24	limit	limit	NOUN
ejpam-3711	15	25	function	function	NOUN
ejpam-3711	15	26	f(x	f(x	PROPN
ejpam-3711	15	27	)	)	PUNCT
ejpam-3711	15	28	,	,	PUNCT
ejpam-3711	15	29	if	if	SCONJ
ejpam-3711	15	30	there	there	PRON
ejpam-3711	15	31	exists	exist	VERB
ejpam-3711	15	32	a	a	DET
ejpam-3711	15	33	scale	scale	NOUN
ejpam-3711	15	34	function	function	NOUN
ejpam-3711	15	35	σ(x	σ(x	PROPN
ejpam-3711	15	36	)	)	PUNCT
ejpam-3711	15	37	(	(	PUNCT
ejpam-3711	15	38	6=	6=	NOUN
ejpam-3711	15	39	0	0	NUM
ejpam-3711	15	40	)	)	PUNCT
ejpam-3711	15	41	defined	define	VERB
ejpam-3711	15	42	over	over	ADP
ejpam-3711	15	43	[	[	X
ejpam-3711	15	44	a	a	DET
ejpam-3711	15	45	,	,	PUNCT
ejpam-3711	15	46	b	b	NOUN
ejpam-3711	15	47	]	]	PUNCT
ejpam-3711	15	48	and	and	CCONJ
ejpam-3711	15	49	for	for	ADP
ejpam-3711	15	50	every	every	DET
ejpam-3711	15	51	ε	ε	PROPN
ejpam-3711	15	52	>	>	X
ejpam-3711	15	53	0	0	PROPN
ejpam-3711	15	54	,	,	PUNCT
ejpam-3711	15	55	there	there	PRON
ejpam-3711	15	56	exists	exist	VERB
ejpam-3711	15	57	a	a	DET
ejpam-3711	15	58	positive	positive	ADJ
ejpam-3711	15	59	integer	integer	NOUN
ejpam-3711	15	60	nε	nε	NUM
ejpam-3711	15	61	such	such	ADJ
ejpam-3711	15	62	that∣∣∣∣fn(x)−	that∣∣∣∣fn(x)−	PROPN
ejpam-3711	15	63	f(x	f(x	PROPN
ejpam-3711	15	64	)	)	PUNCT
ejpam-3711	15	65	σ(x	σ(x	PROPN
ejpam-3711	15	66	)	)	PUNCT
ejpam-3711	15	67	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3711	15	68	5	5	NUM
ejpam-3711	15	69	ε	ε	PROPN
ejpam-3711	15	70	(	(	PUNCT
ejpam-3711	15	71	∀	∀	X
ejpam-3711	15	72	n	n	CCONJ
ejpam-3711	15	73	>	>	PUNCT
ejpam-3711	15	74	nε	nε	PROPN
ejpam-3711	15	75	)	)	PUNCT
ejpam-3711	15	76	holds	hold	VERB
ejpam-3711	15	77	true	true	ADJ
ejpam-3711	15	78	(	(	PUNCT
ejpam-3711	15	79	uniformly	uniformly	ADV
ejpam-3711	15	80	)	)	PUNCT
ejpam-3711	15	81	for	for	ADP
ejpam-3711	15	82	all	all	DET
ejpam-3711	15	83	x	x	SYM
ejpam-3711	15	84	∈	∈	PROPN
ejpam-3711	15	85	[	[	X
ejpam-3711	15	86	a	a	X
ejpam-3711	15	87	,	,	PUNCT
ejpam-3711	15	88	b	b	NOUN
ejpam-3711	15	89	]	]	X
ejpam-3711	15	90	⊆	⊆	NUM
ejpam-3711	15	91	r.	r.	NOUN
ejpam-3711	15	92	the	the	DET
ejpam-3711	15	93	importance	importance	NOUN
ejpam-3711	15	94	of	of	ADP
ejpam-3711	15	95	relatively	relatively	ADV
ejpam-3711	15	96	uniform	uniform	ADJ
ejpam-3711	15	97	convergence	convergence	NOUN
ejpam-3711	15	98	over	over	ADP
ejpam-3711	15	99	the	the	DET
ejpam-3711	15	100	usual	usual	ADJ
ejpam-3711	15	101	uniform	uniform	ADJ
ejpam-3711	15	102	convergence	convergence	NOUN
ejpam-3711	15	103	is	be	AUX
ejpam-3711	15	104	discussed	discuss	VERB
ejpam-3711	15	105	in	in	ADP
ejpam-3711	15	106	the	the	DET
ejpam-3711	15	107	following	follow	VERB
ejpam-3711	15	108	example	example	NOUN
ejpam-3711	15	109	.	.	PUNCT
ejpam-3711	16	1	example	example	NOUN
ejpam-3711	17	1	1	1	NUM
ejpam-3711	17	2	.	.	X
ejpam-3711	17	3	for	for	ADP
ejpam-3711	17	4	all	all	DET
ejpam-3711	17	5	n	n	PRON
ejpam-3711	17	6	∈	∈	PROPN
ejpam-3711	17	7	n	n	CCONJ
ejpam-3711	17	8	,	,	PUNCT
ejpam-3711	17	9	consider	consider	VERB
ejpam-3711	17	10	fn	fn	NOUN
ejpam-3711	17	11	:	:	PUNCT
ejpam-3711	17	12	[	[	X
ejpam-3711	17	13	0	0	NUM
ejpam-3711	17	14	,	,	PUNCT
ejpam-3711	17	15	1]→	1]→	ADJ
ejpam-3711	17	16	r	r	NOUN
ejpam-3711	17	17	defined	define	VERB
ejpam-3711	17	18	by	by	ADP
ejpam-3711	17	19	fn(x	fn(x	NOUN
ejpam-3711	17	20	)	)	PUNCT
ejpam-3711	17	21	=	=	PRON
ejpam-3711	17	22	{	{	PUNCT
ejpam-3711	17	23	nx	nx	NUM
ejpam-3711	17	24	1+n2x2	1+n2x2	NUM
ejpam-3711	17	25	(	(	PUNCT
ejpam-3711	17	26	0	0	NUM
ejpam-3711	17	27	<	<	X
ejpam-3711	17	28	x	x	SYM
ejpam-3711	17	29	5	5	NUM
ejpam-3711	17	30	1	1	NUM
ejpam-3711	17	31	)	)	PUNCT
ejpam-3711	17	32	0	0	NUM
ejpam-3711	18	1	(	(	PUNCT
ejpam-3711	18	2	x	x	SYM
ejpam-3711	18	3	=	=	NOUN
ejpam-3711	18	4	0	0	NUM
ejpam-3711	18	5	)	)	PUNCT
ejpam-3711	18	6	.	.	PUNCT
ejpam-3711	19	1	the	the	DET
ejpam-3711	19	2	sequence	sequence	NOUN
ejpam-3711	19	3	(	(	PUNCT
ejpam-3711	19	4	fn	fn	NOUN
ejpam-3711	19	5	)	)	PUNCT
ejpam-3711	19	6	of	of	ADP
ejpam-3711	19	7	functions	function	NOUN
ejpam-3711	19	8	is	be	AUX
ejpam-3711	19	9	not	not	PART
ejpam-3711	19	10	classically	classically	ADV
ejpam-3711	19	11	uniformly	uniformly	ADV
ejpam-3711	19	12	convergent	convergent	NOUN
ejpam-3711	19	13	on	on	ADP
ejpam-3711	19	14	[	[	X
ejpam-3711	19	15	0	0	NUM
ejpam-3711	19	16	,	,	PUNCT
ejpam-3711	19	17	1	1	NUM
ejpam-3711	19	18	]	]	PUNCT
ejpam-3711	19	19	;	;	PUNCT
ejpam-3711	19	20	but	but	CCONJ
ejpam-3711	19	21	convergent	convergent	NOUN
ejpam-3711	19	22	uniformly	uniformly	ADV
ejpam-3711	19	23	to	to	ADP
ejpam-3711	19	24	f	f	PROPN
ejpam-3711	19	25	=	=	SYM
ejpam-3711	19	26	0	0	NUM
ejpam-3711	19	27	relative	relative	ADJ
ejpam-3711	19	28	to	to	ADP
ejpam-3711	19	29	a	a	DET
ejpam-3711	19	30	scale	scale	NOUN
ejpam-3711	19	31	function	function	NOUN
ejpam-3711	19	32	σ(x	σ(x	NOUN
ejpam-3711	19	33	)	)	PUNCT
ejpam-3711	19	34	=	=	PRON
ejpam-3711	19	35	{	{	PUNCT
ejpam-3711	19	36	1	1	NUM
ejpam-3711	19	37	x	x	SYM
ejpam-3711	19	38	(	(	PUNCT
ejpam-3711	19	39	0	0	NUM
ejpam-3711	19	40	<	<	X
ejpam-3711	19	41	x	x	SYM
ejpam-3711	19	42	5	5	NUM
ejpam-3711	19	43	1	1	NUM
ejpam-3711	19	44	)	)	PUNCT
ejpam-3711	19	45	1	1	NUM
ejpam-3711	19	46	(	(	PUNCT
ejpam-3711	19	47	x	x	SYM
ejpam-3711	19	48	=	=	SYM
ejpam-3711	19	49	0	0	NUM
ejpam-3711	19	50	)	)	PUNCT
ejpam-3711	19	51	on	on	ADP
ejpam-3711	19	52	[	[	X
ejpam-3711	19	53	0	0	NUM
ejpam-3711	19	54	,	,	PUNCT
ejpam-3711	19	55	1	1	NUM
ejpam-3711	19	56	]	]	PUNCT
ejpam-3711	19	57	.	.	PUNCT
ejpam-3711	20	1	here	here	ADV
ejpam-3711	20	2	,	,	PUNCT
ejpam-3711	20	3	we	we	PRON
ejpam-3711	20	4	write	write	VERB
ejpam-3711	20	5	fn	fn	NOUN
ejpam-3711	20	6	⇒	⇒	PROPN
ejpam-3711	20	7	f	f	PROPN
ejpam-3711	21	1	=	=	SYM
ejpam-3711	21	2	0	0	PUNCT
ejpam-3711	21	3	(	(	PUNCT
ejpam-3711	21	4	[	[	X
ejpam-3711	21	5	0	0	NUM
ejpam-3711	21	6	,	,	PUNCT
ejpam-3711	21	7	1];σ	1];σ	NUM
ejpam-3711	21	8	)	)	PUNCT
ejpam-3711	21	9	.	.	PUNCT
ejpam-3711	22	1	thus	thus	ADV
ejpam-3711	22	2	,	,	PUNCT
ejpam-3711	22	3	uniform	uniform	ADJ
ejpam-3711	22	4	convergence	convergence	NOUN
ejpam-3711	22	5	can	can	AUX
ejpam-3711	22	6	be	be	AUX
ejpam-3711	22	7	viewed	view	VERB
ejpam-3711	22	8	as	as	ADP
ejpam-3711	22	9	a	a	DET
ejpam-3711	22	10	special	special	ADJ
ejpam-3711	22	11	case	case	NOUN
ejpam-3711	22	12	of	of	ADP
ejpam-3711	22	13	relative	relative	ADJ
ejpam-3711	22	14	uniform	uniform	ADJ
ejpam-3711	22	15	convergence	convergence	NOUN
ejpam-3711	22	16	(	(	PUNCT
ejpam-3711	22	17	or	or	CCONJ
ejpam-3711	22	18	,	,	PUNCT
ejpam-3711	22	19	convergent	convergent	NOUN
ejpam-3711	22	20	uniformly	uniformly	ADV
ejpam-3711	22	21	relative	relative	ADJ
ejpam-3711	22	22	to	to	ADP
ejpam-3711	22	23	a	a	DET
ejpam-3711	22	24	non	non	ADJ
ejpam-3711	22	25	-	-	ADJ
ejpam-3711	22	26	zero	zero	NUM
ejpam-3711	22	27	scale	scale	NOUN
ejpam-3711	22	28	function	function	NOUN
ejpam-3711	22	29	)	)	PUNCT
ejpam-3711	22	30	.	.	PUNCT
ejpam-3711	23	1	recently	recently	ADV
ejpam-3711	23	2	,	,	PUNCT
ejpam-3711	23	3	demirci	demirci	NOUN
ejpam-3711	23	4	and	and	CCONJ
ejpam-3711	23	5	orhan	orhan	PROPN
ejpam-3711	24	1	[	[	X
ejpam-3711	24	2	16	16	NUM
ejpam-3711	24	3	]	]	PUNCT
ejpam-3711	24	4	defined	define	VERB
ejpam-3711	24	5	the	the	DET
ejpam-3711	24	6	notion	notion	NOUN
ejpam-3711	24	7	of	of	ADP
ejpam-3711	24	8	relatively	relatively	ADV
ejpam-3711	24	9	uniform	uniform	ADJ
ejpam-3711	24	10	statistical	statistical	ADJ
ejpam-3711	24	11	convergence	convergence	NOUN
ejpam-3711	24	12	of	of	ADP
ejpam-3711	24	13	a	a	DET
ejpam-3711	24	14	sequence	sequence	NOUN
ejpam-3711	24	15	of	of	ADP
ejpam-3711	24	16	functions	function	NOUN
ejpam-3711	24	17	which	which	PRON
ejpam-3711	24	18	is	be	AUX
ejpam-3711	24	19	based	base	VERB
ejpam-3711	24	20	on	on	ADP
ejpam-3711	24	21	the	the	DET
ejpam-3711	24	22	natural	natural	ADJ
ejpam-3711	24	23	density	density	NOUN
ejpam-3711	24	24	of	of	ADP
ejpam-3711	24	25	a	a	DET
ejpam-3711	24	26	set	set	NOUN
ejpam-3711	24	27	as	as	SCONJ
ejpam-3711	24	28	follows	follow	VERB
ejpam-3711	24	29	:	:	PUNCT
ejpam-3711	24	30	let	let	VERB
ejpam-3711	24	31	e	e	X
ejpam-3711	24	32	⊂	⊂	VERB
ejpam-3711	24	33	r	r	NOUN
ejpam-3711	24	34	be	be	AUX
ejpam-3711	24	35	compact	compact	ADJ
ejpam-3711	24	36	and	and	CCONJ
ejpam-3711	24	37	(	(	PUNCT
ejpam-3711	24	38	fn	fn	NOUN
ejpam-3711	24	39	)	)	PUNCT
ejpam-3711	24	40	be	be	AUX
ejpam-3711	24	41	a	a	DET
ejpam-3711	24	42	sequence	sequence	NOUN
ejpam-3711	24	43	of	of	ADP
ejpam-3711	24	44	functions	function	NOUN
ejpam-3711	24	45	defined	define	VERB
ejpam-3711	24	46	on	on	ADP
ejpam-3711	24	47	e.	e.	PROPN
ejpam-3711	24	48	the	the	DET
ejpam-3711	24	49	sequence	sequence	NOUN
ejpam-3711	24	50	(	(	PUNCT
ejpam-3711	24	51	fn	fn	NOUN
ejpam-3711	24	52	)	)	PUNCT
ejpam-3711	24	53	is	be	AUX
ejpam-3711	24	54	relatively	relatively	ADV
ejpam-3711	24	55	uniform	uniform	ADJ
ejpam-3711	24	56	statistical	statistical	ADJ
ejpam-3711	24	57	convergent	convergent	NOUN
ejpam-3711	24	58	to	to	ADP
ejpam-3711	24	59	the	the	DET
ejpam-3711	24	60	limit	limit	NOUN
ejpam-3711	24	61	function	function	NOUN
ejpam-3711	24	62	f	f	PROPN
ejpam-3711	24	63	defined	define	VERB
ejpam-3711	24	64	on	on	ADP
ejpam-3711	24	65	e	e	NOUN
ejpam-3711	24	66	,	,	PUNCT
ejpam-3711	24	67	if	if	SCONJ
ejpam-3711	24	68	there	there	PRON
ejpam-3711	24	69	exists	exist	VERB
ejpam-3711	24	70	a	a	DET
ejpam-3711	24	71	non	non	ADJ
ejpam-3711	24	72	-	-	ADJ
ejpam-3711	24	73	zero	zero	NUM
ejpam-3711	24	74	scale	scale	NOUN
ejpam-3711	24	75	function	function	NOUN
ejpam-3711	24	76	σ(x	σ(x	PROPN
ejpam-3711	24	77	)	)	PUNCT
ejpam-3711	24	78	(	(	PUNCT
ejpam-3711	24	79	σ(x	σ(x	PROPN
ejpam-3711	24	80	)	)	PUNCT
ejpam-3711	24	81	>	>	X
ejpam-3711	24	82	0	0	NUM
ejpam-3711	24	83	)	)	PUNCT
ejpam-3711	24	84	over	over	ADP
ejpam-3711	24	85	e	e	NOUN
ejpam-3711	24	86	provided	provide	VERB
ejpam-3711	24	87	,	,	PUNCT
ejpam-3711	24	88	for	for	ADP
ejpam-3711	24	89	each	each	DET
ejpam-3711	24	90	ε	ε	PROPN
ejpam-3711	24	91	>	>	X
ejpam-3711	24	92	0	0	PROPN
ejpam-3711	24	93	,	,	PUNCT
ejpam-3711	24	94	{	{	PUNCT
ejpam-3711	24	95	k	k	NOUN
ejpam-3711	24	96	:	:	PUNCT
ejpam-3711	24	97	k	k	PROPN
ejpam-3711	24	98	5	5	NUM
ejpam-3711	24	99	n	n	NOUN
ejpam-3711	24	100	and	and	CCONJ
ejpam-3711	24	101	sup	sup	NOUN
ejpam-3711	24	102	x∈e	x∈e	PROPN
ejpam-3711	24	103	∣∣∣∣fk(x)−	∣∣∣∣fk(x)−	PROPN
ejpam-3711	24	104	f(x	f(x	PROPN
ejpam-3711	24	105	)	)	PUNCT
ejpam-3711	24	106	σ(x	σ(x	PROPN
ejpam-3711	24	107	)	)	PUNCT
ejpam-3711	24	108	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3711	24	109	=	=	SYM
ejpam-3711	24	110	ε	ε	PROPN
ejpam-3711	24	111	}	}	PUNCT
ejpam-3711	24	112	has	have	VERB
ejpam-3711	24	113	natural	natural	ADJ
ejpam-3711	24	114	(	(	PUNCT
ejpam-3711	24	115	asymptotic	asymptotic	ADJ
ejpam-3711	24	116	)	)	PUNCT
ejpam-3711	24	117	density	density	NOUN
ejpam-3711	24	118	zero	zero	NUM
ejpam-3711	24	119	;	;	PUNCT
ejpam-3711	24	120	equivalently	equivalently	ADV
ejpam-3711	24	121	,	,	PUNCT
ejpam-3711	24	122	one	one	NUM
ejpam-3711	24	123	writes	write	VERB
ejpam-3711	24	124	lim	lim	PROPN
ejpam-3711	24	125	n→∞	n→∞	PRON
ejpam-3711	24	126	∣∣∣∣{k	∣∣∣∣{k	NOUN
ejpam-3711	24	127	:	:	PUNCT
ejpam-3711	24	128	k	k	PROPN
ejpam-3711	24	129	5	5	NUM
ejpam-3711	24	130	n	n	NOUN
ejpam-3711	24	131	and	and	CCONJ
ejpam-3711	24	132	sup	sup	NOUN
ejpam-3711	24	133	x∈e	x∈e	PROPN
ejpam-3711	25	1	∣∣∣∣fk(x)−	∣∣∣∣fk(x)−	PROPN
ejpam-3711	25	2	f(x	f(x	PROPN
ejpam-3711	25	3	)	)	PUNCT
ejpam-3711	25	4	σ(x	σ(x	PROPN
ejpam-3711	25	5	)	)	PUNCT
ejpam-3711	25	6	∣∣∣∣	∣∣∣∣	NOUN
ejpam-3711	25	7	=	=	NOUN
ejpam-3711	25	8	ε}∣∣∣∣	ε}∣∣∣∣	ADJ
ejpam-3711	25	9	=	=	SYM
ejpam-3711	25	10	0	0	NUM
ejpam-3711	25	11	.	.	PUNCT
ejpam-3711	26	1	here	here	ADV
ejpam-3711	26	2	,	,	PUNCT
ejpam-3711	26	3	we	we	PRON
ejpam-3711	26	4	write	write	VERB
ejpam-3711	26	5	stat	stat	PROPN
ejpam-3711	26	6	fn(x)⇒	fn(x)⇒	PROPN
ejpam-3711	26	7	f(e;σ	f(e;σ	PROPN
ejpam-3711	26	8	)	)	PUNCT
ejpam-3711	26	9	.	.	PUNCT
ejpam-3711	27	1	s.	s.	PROPN
ejpam-3711	27	2	k.	k.	PROPN
ejpam-3711	27	3	paikray	paikray	PROPN
ejpam-3711	27	4	,	,	PUNCT
ejpam-3711	27	5	p.	p.	PROPN
ejpam-3711	27	6	parida	parida	PROPN
ejpam-3711	27	7	,	,	PUNCT
ejpam-3711	27	8	s.	s.	PROPN
ejpam-3711	27	9	a.	a.	PROPN
ejpam-3711	27	10	mohiuddine	mohiuddine	PROPN
ejpam-3711	27	11	/	/	SYM
ejpam-3711	27	12	eur	eur	PROPN
ejpam-3711	27	13	.	.	PUNCT
ejpam-3711	28	1	j.	j.	PROPN
ejpam-3711	28	2	pure	pure	PROPN
ejpam-3711	28	3	appl	appl	PROPN
ejpam-3711	28	4	.	.	PROPN
ejpam-3711	28	5	math	math	PROPN
ejpam-3711	28	6	,	,	PUNCT
ejpam-3711	28	7	13	13	NUM
ejpam-3711	28	8	(	(	PUNCT
ejpam-3711	28	9	5	5	NUM
ejpam-3711	28	10	)	)	PUNCT
ejpam-3711	28	11	(	(	PUNCT
ejpam-3711	28	12	2020	2020	NUM
ejpam-3711	28	13	)	)	PUNCT
ejpam-3711	28	14	,	,	PUNCT
ejpam-3711	28	15	1212	1212	NUM
ejpam-3711	28	16	-	-	SYM
ejpam-3711	28	17	1230	1230	NUM
ejpam-3711	28	18	1214	1214	NUM
ejpam-3711	28	19	the	the	DET
ejpam-3711	28	20	rapid	rapid	ADJ
ejpam-3711	28	21	growth	growth	NOUN
ejpam-3711	28	22	of	of	ADP
ejpam-3711	28	23	sequence	sequence	NOUN
ejpam-3711	28	24	spaces	space	NOUN
ejpam-3711	28	25	have	have	AUX
ejpam-3711	28	26	been	be	AUX
ejpam-3711	28	27	accompanied	accompany	VERB
ejpam-3711	28	28	by	by	ADP
ejpam-3711	28	29	the	the	DET
ejpam-3711	28	30	recent	recent	ADJ
ejpam-3711	28	31	works	work	NOUN
ejpam-3711	28	32	of	of	ADP
ejpam-3711	28	33	many	many	ADJ
ejpam-3711	28	34	researchers	researcher	NOUN
ejpam-3711	28	35	in	in	ADP
ejpam-3711	28	36	the	the	DET
ejpam-3711	28	37	field	field	NOUN
ejpam-3711	28	38	of	of	ADP
ejpam-3711	28	39	statistical	statistical	ADJ
ejpam-3711	28	40	convergence	convergence	NOUN
ejpam-3711	28	41	and	and	CCONJ
ejpam-3711	28	42	it	it	PRON
ejpam-3711	28	43	has	have	AUX
ejpam-3711	28	44	got	get	VERB
ejpam-3711	28	45	tremendous	tremendous	ADJ
ejpam-3711	28	46	importance	importance	NOUN
ejpam-3711	28	47	over	over	ADP
ejpam-3711	28	48	conventional	conventional	ADJ
ejpam-3711	28	49	convergence	convergence	NOUN
ejpam-3711	28	50	.	.	PUNCT
ejpam-3711	29	1	the	the	DET
ejpam-3711	29	2	basic	basic	ADJ
ejpam-3711	29	3	concept	concept	NOUN
ejpam-3711	29	4	of	of	ADP
ejpam-3711	29	5	statistical	statistical	ADJ
ejpam-3711	29	6	convergence	convergence	NOUN
ejpam-3711	29	7	was	be	AUX
ejpam-3711	29	8	initially	initially	ADV
ejpam-3711	29	9	studied	study	VERB
ejpam-3711	29	10	in	in	ADP
ejpam-3711	29	11	the	the	DET
ejpam-3711	29	12	year	year	NOUN
ejpam-3711	29	13	1951	1951	NUM
ejpam-3711	29	14	by	by	ADP
ejpam-3711	29	15	fast	fast	ADJ
ejpam-3711	29	16	[	[	X
ejpam-3711	29	17	17	17	NUM
ejpam-3711	29	18	]	]	PUNCT
ejpam-3711	29	19	and	and	CCONJ
ejpam-3711	29	20	steinhaus	steinhaus	NOUN
ejpam-3711	30	1	[	[	X
ejpam-3711	30	2	41	41	NUM
ejpam-3711	30	3	]	]	PUNCT
ejpam-3711	30	4	independently	independently	ADV
ejpam-3711	30	5	.	.	PUNCT
ejpam-3711	31	1	recently	recently	ADV
ejpam-3711	31	2	,	,	PUNCT
ejpam-3711	31	3	the	the	DET
ejpam-3711	31	4	approximation	approximation	NOUN
ejpam-3711	31	5	of	of	ADP
ejpam-3711	31	6	functions	function	NOUN
ejpam-3711	31	7	by	by	ADP
ejpam-3711	31	8	linear	linear	PROPN
ejpam-3711	31	9	operators	operator	NOUN
ejpam-3711	31	10	(	(	PUNCT
ejpam-3711	31	11	positive	positive	ADJ
ejpam-3711	31	12	)	)	PUNCT
ejpam-3711	31	13	based	base	VERB
ejpam-3711	31	14	on	on	ADP
ejpam-3711	31	15	statistical	statistical	ADJ
ejpam-3711	31	16	convergence	convergence	NOUN
ejpam-3711	31	17	has	have	AUX
ejpam-3711	31	18	become	become	VERB
ejpam-3711	31	19	an	an	DET
ejpam-3711	31	20	energetic	energetic	ADJ
ejpam-3711	31	21	area	area	NOUN
ejpam-3711	31	22	of	of	ADP
ejpam-3711	31	23	research	research	NOUN
ejpam-3711	31	24	.	.	PUNCT
ejpam-3711	32	1	in	in	ADP
ejpam-3711	32	2	the	the	DET
ejpam-3711	32	3	current	current	ADJ
ejpam-3711	32	4	years	year	NOUN
ejpam-3711	32	5	,	,	PUNCT
ejpam-3711	32	6	the	the	DET
ejpam-3711	32	7	use	use	NOUN
ejpam-3711	32	8	of	of	ADP
ejpam-3711	32	9	statistical	statistical	ADJ
ejpam-3711	32	10	convergence	convergence	NOUN
ejpam-3711	32	11	in	in	ADP
ejpam-3711	32	12	approximation	approximation	NOUN
ejpam-3711	32	13	theory	theory	NOUN
ejpam-3711	32	14	has	have	AUX
ejpam-3711	32	15	enabled	enable	VERB
ejpam-3711	32	16	the	the	DET
ejpam-3711	32	17	researchers	researcher	NOUN
ejpam-3711	32	18	to	to	PART
ejpam-3711	32	19	achieve	achieve	VERB
ejpam-3711	32	20	more	more	ADV
ejpam-3711	32	21	powerful	powerful	ADJ
ejpam-3711	32	22	outcomes	outcome	NOUN
ejpam-3711	32	23	than	than	ADP
ejpam-3711	32	24	that	that	PRON
ejpam-3711	32	25	of	of	ADP
ejpam-3711	32	26	the	the	DET
ejpam-3711	32	27	classical	classical	ADJ
ejpam-3711	32	28	aspects	aspect	NOUN
ejpam-3711	32	29	of	of	ADP
ejpam-3711	32	30	convergence	convergence	NOUN
ejpam-3711	32	31	.	.	PUNCT
ejpam-3711	33	1	in	in	ADP
ejpam-3711	33	2	this	this	DET
ejpam-3711	33	3	context	context	NOUN
ejpam-3711	33	4	,	,	PUNCT
ejpam-3711	33	5	we	we	PRON
ejpam-3711	33	6	refer	refer	VERB
ejpam-3711	33	7	to	to	ADP
ejpam-3711	33	8	the	the	DET
ejpam-3711	33	9	recent	recent	ADJ
ejpam-3711	33	10	works	work	NOUN
ejpam-3711	33	11	[	[	X
ejpam-3711	33	12	9	9	NUM
ejpam-3711	33	13	]	]	PUNCT
ejpam-3711	33	14	,	,	PUNCT
ejpam-3711	33	15	[	[	X
ejpam-3711	33	16	10	10	NUM
ejpam-3711	33	17	]	]	PUNCT
ejpam-3711	33	18	,	,	PUNCT
ejpam-3711	33	19	[	[	X
ejpam-3711	33	20	15	15	NUM
ejpam-3711	33	21	]	]	PUNCT
ejpam-3711	33	22	,	,	PUNCT
ejpam-3711	33	23	[	[	X
ejpam-3711	33	24	14	14	NUM
ejpam-3711	33	25	]	]	PUNCT
ejpam-3711	33	26	,	,	PUNCT
ejpam-3711	33	27	[	[	X
ejpam-3711	33	28	13	13	NUM
ejpam-3711	33	29	]	]	PUNCT
ejpam-3711	33	30	,	,	PUNCT
ejpam-3711	33	31	[	[	X
ejpam-3711	33	32	20	20	NUM
ejpam-3711	33	33	]	]	PUNCT
ejpam-3711	33	34	,	,	PUNCT
ejpam-3711	34	1	[	[	X
ejpam-3711	34	2	21	21	NUM
ejpam-3711	34	3	]	]	PUNCT
ejpam-3711	34	4	,	,	PUNCT
ejpam-3711	35	1	[	[	X
ejpam-3711	35	2	24	24	NUM
ejpam-3711	35	3	]	]	PUNCT
ejpam-3711	35	4	,	,	PUNCT
ejpam-3711	35	5	[	[	X
ejpam-3711	35	6	22	22	NUM
ejpam-3711	35	7	]	]	PUNCT
ejpam-3711	35	8	,	,	PUNCT
ejpam-3711	35	9	[	[	X
ejpam-3711	35	10	23	23	NUM
ejpam-3711	35	11	]	]	PUNCT
ejpam-3711	35	12	,	,	PUNCT
ejpam-3711	36	1	[	[	X
ejpam-3711	36	2	25	25	NUM
ejpam-3711	36	3	]	]	PUNCT
ejpam-3711	36	4	,	,	PUNCT
ejpam-3711	37	1	[	[	X
ejpam-3711	37	2	33	33	NUM
ejpam-3711	37	3	]	]	PUNCT
ejpam-3711	37	4	,	,	PUNCT
ejpam-3711	38	1	[	[	X
ejpam-3711	38	2	34	34	NUM
ejpam-3711	38	3	]	]	PUNCT
ejpam-3711	38	4	,	,	PUNCT
ejpam-3711	38	5	[	[	X
ejpam-3711	38	6	35	35	NUM
ejpam-3711	38	7	]	]	PUNCT
ejpam-3711	38	8	,	,	PUNCT
ejpam-3711	38	9	[	[	X
ejpam-3711	38	10	36	36	NUM
ejpam-3711	38	11	]	]	PUNCT
ejpam-3711	38	12	,	,	PUNCT
ejpam-3711	39	1	[	[	X
ejpam-3711	39	2	37	37	NUM
ejpam-3711	39	3	]	]	PUNCT
ejpam-3711	39	4	,	,	PUNCT
ejpam-3711	40	1	[	[	X
ejpam-3711	40	2	38	38	NUM
ejpam-3711	40	3	]	]	PUNCT
ejpam-3711	40	4	and	and	CCONJ
ejpam-3711	40	5	[	[	X
ejpam-3711	40	6	40	40	NUM
ejpam-3711	40	7	]	]	PUNCT
ejpam-3711	40	8	.	.	PUNCT
ejpam-3711	41	1	we	we	PRON
ejpam-3711	41	2	use	use	VERB
ejpam-3711	41	3	the	the	DET
ejpam-3711	41	4	symbol	symbol	NOUN
ejpam-3711	41	5	ω	ω	PROPN
ejpam-3711	41	6	to	to	PART
ejpam-3711	41	7	denote	denote	VERB
ejpam-3711	41	8	the	the	DET
ejpam-3711	41	9	space	space	NOUN
ejpam-3711	41	10	of	of	ADP
ejpam-3711	41	11	all	all	DET
ejpam-3711	41	12	real	real	ADV
ejpam-3711	41	13	valued	value	VERB
ejpam-3711	41	14	sequences	sequence	NOUN
ejpam-3711	41	15	.	.	PUNCT
ejpam-3711	42	1	also	also	ADV
ejpam-3711	42	2	,	,	PUNCT
ejpam-3711	42	3	the	the	DET
ejpam-3711	42	4	usual	usual	ADJ
ejpam-3711	42	5	notations	notation	NOUN
ejpam-3711	42	6	`	`	PUNCT
ejpam-3711	42	7	∞	∞	PROPN
ejpam-3711	42	8	,	,	PUNCT
ejpam-3711	42	9	c	c	PROPN
ejpam-3711	42	10	and	and	CCONJ
ejpam-3711	42	11	c0	c0	PROPN
ejpam-3711	42	12	will	will	AUX
ejpam-3711	42	13	be	be	AUX
ejpam-3711	42	14	used	use	VERB
ejpam-3711	42	15	to	to	PART
ejpam-3711	42	16	denote	denote	VERB
ejpam-3711	42	17	the	the	DET
ejpam-3711	42	18	classes	class	NOUN
ejpam-3711	42	19	of	of	ADP
ejpam-3711	42	20	bounded	bounded	ADJ
ejpam-3711	42	21	linear	linear	PROPN
ejpam-3711	42	22	spaces	space	NOUN
ejpam-3711	42	23	,	,	PUNCT
ejpam-3711	42	24	convergent	convergent	NOUN
ejpam-3711	42	25	sequences	sequence	NOUN
ejpam-3711	42	26	and	and	CCONJ
ejpam-3711	42	27	null	null	ADJ
ejpam-3711	42	28	sequences	sequence	NOUN
ejpam-3711	42	29	respectively	respectively	ADV
ejpam-3711	42	30	.	.	PUNCT
ejpam-3711	43	1	moreover	moreover	ADV
ejpam-3711	43	2	,	,	PUNCT
ejpam-3711	43	3	it	it	PRON
ejpam-3711	43	4	is	be	AUX
ejpam-3711	43	5	also	also	ADV
ejpam-3711	43	6	known	know	VERB
ejpam-3711	43	7	that	that	SCONJ
ejpam-3711	43	8	any	any	DET
ejpam-3711	43	9	subspace	subspace	NOUN
ejpam-3711	43	10	of	of	ADP
ejpam-3711	43	11	ω	ω	PROPN
ejpam-3711	43	12	is	be	AUX
ejpam-3711	43	13	a	a	DET
ejpam-3711	43	14	sequence	sequence	NOUN
ejpam-3711	43	15	space	space	NOUN
ejpam-3711	43	16	.	.	PUNCT
ejpam-3711	44	1	note	note	VERB
ejpam-3711	44	2	that	that	SCONJ
ejpam-3711	44	3	all	all	DET
ejpam-3711	44	4	these	these	DET
ejpam-3711	44	5	spaces	space	NOUN
ejpam-3711	44	6	are	be	AUX
ejpam-3711	44	7	banach	banach	NOUN
ejpam-3711	44	8	spaces	space	NOUN
ejpam-3711	44	9	under	under	ADP
ejpam-3711	44	10	the	the	DET
ejpam-3711	44	11	sup	sup	ADJ
ejpam-3711	44	12	-	-	PUNCT
ejpam-3711	44	13	norm	norm	NOUN
ejpam-3711	44	14	(	(	PUNCT
ejpam-3711	44	15	xk)k∈n	xk)k∈n	PROPN
ejpam-3711	44	16	,	,	PUNCT
ejpam-3711	44	17	which	which	PRON
ejpam-3711	44	18	a	a	PRON
ejpam-3711	44	19	is	be	AUX
ejpam-3711	44	20	sequence	sequence	NOUN
ejpam-3711	44	21	of	of	ADP
ejpam-3711	44	22	real	real	ADJ
ejpam-3711	44	23	or	or	CCONJ
ejpam-3711	44	24	complex	complex	ADJ
ejpam-3711	44	25	terms	term	NOUN
ejpam-3711	44	26	,	,	PUNCT
ejpam-3711	44	27	given	give	VERB
ejpam-3711	44	28	by	by	ADP
ejpam-3711	44	29	‖x‖∞	‖x‖∞	PROPN
ejpam-3711	44	30	=	=	PROPN
ejpam-3711	44	31	supk	supk	DET
ejpam-3711	44	32	|xk|	|xk|	PROPN
ejpam-3711	44	33	.	.	PUNCT
ejpam-3711	45	1	in	in	ADP
ejpam-3711	45	2	the	the	DET
ejpam-3711	45	3	year	year	NOUN
ejpam-3711	45	4	1981	1981	NUM
ejpam-3711	45	5	,	,	PUNCT
ejpam-3711	45	6	kızmaz	kızmaz	X
ejpam-3711	45	7	[	[	X
ejpam-3711	45	8	27	27	NUM
ejpam-3711	45	9	]	]	PUNCT
ejpam-3711	45	10	gave	give	VERB
ejpam-3711	45	11	the	the	DET
ejpam-3711	45	12	preliminary	preliminary	ADJ
ejpam-3711	45	13	notion	notion	NOUN
ejpam-3711	45	14	of	of	ADP
ejpam-3711	45	15	space	space	NOUN
ejpam-3711	45	16	of	of	ADP
ejpam-3711	45	17	difference	difference	NOUN
ejpam-3711	45	18	sequence	sequence	NOUN
ejpam-3711	45	19	and	and	CCONJ
ejpam-3711	45	20	subsequently	subsequently	ADV
ejpam-3711	45	21	,	,	PUNCT
ejpam-3711	45	22	the	the	DET
ejpam-3711	45	23	difference	difference	NOUN
ejpam-3711	45	24	sequence	sequence	NOUN
ejpam-3711	45	25	of	of	ADP
ejpam-3711	45	26	order	order	NOUN
ejpam-3711	45	27	r	r	NOUN
ejpam-3711	45	28	(	(	PUNCT
ejpam-3711	45	29	r	r	NOUN
ejpam-3711	45	30	∈	∈	PROPN
ejpam-3711	45	31	n0	n0	NOUN
ejpam-3711	45	32	:	:	PUNCT
ejpam-3711	45	33	=	=	NOUN
ejpam-3711	45	34	n	n	CCONJ
ejpam-3711	45	35	∪	∪	X
ejpam-3711	45	36	{	{	PUNCT
ejpam-3711	45	37	0	0	NUM
ejpam-3711	45	38	}	}	PUNCT
ejpam-3711	45	39	)	)	PUNCT
ejpam-3711	45	40	is	be	AUX
ejpam-3711	45	41	defined	define	VERB
ejpam-3711	45	42	as	as	SCONJ
ejpam-3711	45	43	follows	follow	VERB
ejpam-3711	45	44	:	:	PUNCT
ejpam-3711	45	45	λ(∆r	λ(∆r	NOUN
ejpam-3711	45	46	)	)	PUNCT
ejpam-3711	45	47	=	=	SYM
ejpam-3711	46	1	{	{	PUNCT
ejpam-3711	46	2	x	x	SYM
ejpam-3711	46	3	=	=	SYM
ejpam-3711	46	4	(	(	PUNCT
ejpam-3711	46	5	xk	xk	PROPN
ejpam-3711	46	6	)	)	PUNCT
ejpam-3711	46	7	:	:	PUNCT
ejpam-3711	46	8	∆r(x	∆r(x	VERB
ejpam-3711	46	9	)	)	PUNCT
ejpam-3711	46	10	∈	∈	PROPN
ejpam-3711	46	11	λ	λ	PROPN
ejpam-3711	46	12	,	,	PUNCT
ejpam-3711	46	13	λ	λ	PROPN
ejpam-3711	46	14	∈	∈	PROPN
ejpam-3711	46	15	(	(	PUNCT
ejpam-3711	46	16	`	`	PUNCT
ejpam-3711	46	17	∞	∞	PROPN
ejpam-3711	46	18	,	,	PUNCT
ejpam-3711	46	19	c0	c0	NOUN
ejpam-3711	46	20	,	,	PUNCT
ejpam-3711	46	21	c	c	NOUN
ejpam-3711	46	22	)	)	PUNCT
ejpam-3711	46	23	}	}	PUNCT
ejpam-3711	46	24	;	;	PUNCT
ejpam-3711	46	25	∆0x	∆0x	NOUN
ejpam-3711	46	26	=	=	SYM
ejpam-3711	46	27	(	(	PUNCT
ejpam-3711	46	28	xk	xk	PROPN
ejpam-3711	46	29	)	)	PUNCT
ejpam-3711	46	30	;	;	PUNCT
ejpam-3711	46	31	∆rx	∆rx	X
ejpam-3711	46	32	=	=	SYM
ejpam-3711	46	33	(	(	PUNCT
ejpam-3711	46	34	∆r−1xk	∆r−1xk	ADJ
ejpam-3711	46	35	−∆r−1xk+1	−∆r−1xk+1	NOUN
ejpam-3711	46	36	)	)	PUNCT
ejpam-3711	46	37	and	and	CCONJ
ejpam-3711	46	38	∆rxk	∆rxk	PROPN
ejpam-3711	46	39	=	=	SYM
ejpam-3711	46	40	r∑	r∑	X
ejpam-3711	46	41	i=0	i=0	PROPN
ejpam-3711	46	42	(	(	PUNCT
ejpam-3711	46	43	−1)i	−1)i	X
ejpam-3711	46	44	(	(	PUNCT
ejpam-3711	46	45	r	r	NOUN
ejpam-3711	46	46	i	i	NOUN
ejpam-3711	46	47	)	)	PUNCT
ejpam-3711	46	48	xk+i	xk+i	PROPN
ejpam-3711	46	49	)	)	PUNCT
ejpam-3711	46	50	.	.	PUNCT
ejpam-3711	47	1	the	the	DET
ejpam-3711	47	2	norm	norm	NOUN
ejpam-3711	47	3	for	for	ADP
ejpam-3711	47	4	difference	difference	NOUN
ejpam-3711	47	5	sequence	sequence	NOUN
ejpam-3711	47	6	of	of	ADP
ejpam-3711	47	7	order	order	NOUN
ejpam-3711	47	8	r	r	NOUN
ejpam-3711	47	9	is	be	AUX
ejpam-3711	47	10	given	give	VERB
ejpam-3711	47	11	by	by	ADP
ejpam-3711	47	12	‖x‖∆r	‖x‖∆r	NOUN
ejpam-3711	47	13	=	=	SYM
ejpam-3711	47	14	r∑	r∑	NOUN
ejpam-3711	47	15	i=1	i=1	PROPN
ejpam-3711	47	16	|xi|+	|xi|+	NOUN
ejpam-3711	47	17	supk|∆rxk|	supk|∆rxk|	PROPN
ejpam-3711	47	18	.	.	PUNCT
ejpam-3711	47	19	note	note	VERB
ejpam-3711	47	20	that	that	SCONJ
ejpam-3711	47	21	the	the	DET
ejpam-3711	47	22	difference	difference	NOUN
ejpam-3711	47	23	spaces	space	NOUN
ejpam-3711	47	24	obtained	obtain	VERB
ejpam-3711	47	25	from	from	ADP
ejpam-3711	47	26	λ(∆r	λ(∆r	NOUN
ejpam-3711	47	27	)	)	PUNCT
ejpam-3711	47	28	are	be	AUX
ejpam-3711	47	29	banach	banach	NOUN
ejpam-3711	47	30	spaces	space	NOUN
ejpam-3711	47	31	under	under	ADP
ejpam-3711	47	32	the	the	DET
ejpam-3711	47	33	above	above	ADJ
ejpam-3711	47	34	norm	norm	NOUN
ejpam-3711	47	35	.	.	PUNCT
ejpam-3711	48	1	the	the	DET
ejpam-3711	48	2	difference	difference	NOUN
ejpam-3711	48	3	operator	operator	NOUN
ejpam-3711	48	4	of	of	ADP
ejpam-3711	48	5	fractional	fractional	ADJ
ejpam-3711	48	6	-	-	PUNCT
ejpam-3711	48	7	order	order	NOUN
ejpam-3711	48	8	was	be	AUX
ejpam-3711	48	9	initially	initially	ADV
ejpam-3711	48	10	used	use	VERB
ejpam-3711	48	11	by	by	ADP
ejpam-3711	48	12	chapman	chapman	PROPN
ejpam-3711	48	13	[	[	X
ejpam-3711	48	14	11	11	NUM
ejpam-3711	48	15	]	]	PUNCT
ejpam-3711	48	16	and	and	CCONJ
ejpam-3711	48	17	subsequently	subsequently	ADV
ejpam-3711	48	18	,	,	PUNCT
ejpam-3711	48	19	many	many	ADJ
ejpam-3711	48	20	researchers	researcher	NOUN
ejpam-3711	48	21	used	use	VERB
ejpam-3711	48	22	it	it	PRON
ejpam-3711	48	23	with	with	ADP
ejpam-3711	48	24	different	different	ADJ
ejpam-3711	48	25	settings	setting	NOUN
ejpam-3711	48	26	(	(	PUNCT
ejpam-3711	48	27	see	see	VERB
ejpam-3711	48	28	[	[	X
ejpam-3711	48	29	4	4	NUM
ejpam-3711	48	30	]	]	PUNCT
ejpam-3711	48	31	,	,	PUNCT
ejpam-3711	49	1	[	[	X
ejpam-3711	49	2	8	8	NUM
ejpam-3711	49	3	]	]	NUM
ejpam-3711	49	4	)	)	PUNCT
ejpam-3711	49	5	.	.	PUNCT
ejpam-3711	50	1	recently	recently	ADV
ejpam-3711	50	2	,	,	PUNCT
ejpam-3711	50	3	baliarsingh	baliarsingh	PROPN
ejpam-3711	50	4	[	[	X
ejpam-3711	50	5	6	6	NUM
ejpam-3711	50	6	]	]	PUNCT
ejpam-3711	50	7	has	have	AUX
ejpam-3711	50	8	studied	study	VERB
ejpam-3711	50	9	a	a	DET
ejpam-3711	50	10	fractional	fractional	ADJ
ejpam-3711	50	11	-	-	PUNCT
ejpam-3711	50	12	order	order	NOUN
ejpam-3711	50	13	difference	difference	NOUN
ejpam-3711	50	14	sequence	sequence	NOUN
ejpam-3711	50	15	involving	involve	VERB
ejpam-3711	50	16	the	the	DET
ejpam-3711	50	17	euler	euler	PROPN
ejpam-3711	50	18	-	-	PUNCT
ejpam-3711	50	19	gamma	gamma	NOUN
ejpam-3711	50	20	function	function	NOUN
ejpam-3711	50	21	as	as	SCONJ
ejpam-3711	50	22	follows	follow	VERB
ejpam-3711	50	23	:	:	PUNCT
ejpam-3711	50	24	∆α(xk	∆α(xk	X
ejpam-3711	50	25	)	)	PUNCT
ejpam-3711	50	26	=	=	PUNCT
ejpam-3711	51	1	∞∑	∞∑	NUM
ejpam-3711	51	2	i=0	i=0	PROPN
ejpam-3711	51	3	(	(	PUNCT
ejpam-3711	51	4	−1)i	−1)i	X
ejpam-3711	51	5	γ(α+	γ(α+	DET
ejpam-3711	51	6	1	1	NUM
ejpam-3711	51	7	)	)	PUNCT
ejpam-3711	51	8	i!γ(α−	i!γ(α−	NOUN
ejpam-3711	51	9	i+	i+	NOUN
ejpam-3711	51	10	1	1	X
ejpam-3711	51	11	)	)	PUNCT
ejpam-3711	51	12	xk−i	xk−i	PROPN
ejpam-3711	51	13	s.	s.	PROPN
ejpam-3711	51	14	k.	k.	PROPN
ejpam-3711	51	15	paikray	paikray	PROPN
ejpam-3711	51	16	,	,	PUNCT
ejpam-3711	51	17	p.	p.	PROPN
ejpam-3711	51	18	parida	parida	PROPN
ejpam-3711	51	19	,	,	PUNCT
ejpam-3711	51	20	s.	s.	PROPN
ejpam-3711	51	21	a.	a.	PROPN
ejpam-3711	51	22	mohiuddine	mohiuddine	PROPN
ejpam-3711	51	23	/	/	SYM
ejpam-3711	51	24	eur	eur	PROPN
ejpam-3711	51	25	.	.	PUNCT
ejpam-3711	52	1	j.	j.	PROPN
ejpam-3711	52	2	pure	pure	PROPN
ejpam-3711	52	3	appl	appl	PROPN
ejpam-3711	52	4	.	.	PROPN
ejpam-3711	52	5	math	math	PROPN
ejpam-3711	52	6	,	,	PUNCT
ejpam-3711	52	7	13	13	NUM
ejpam-3711	52	8	(	(	PUNCT
ejpam-3711	52	9	5	5	NUM
ejpam-3711	52	10	)	)	PUNCT
ejpam-3711	52	11	(	(	PUNCT
ejpam-3711	52	12	2020	2020	NUM
ejpam-3711	52	13	)	)	PUNCT
ejpam-3711	52	14	,	,	PUNCT
ejpam-3711	52	15	1212	1212	NUM
ejpam-3711	52	16	-	-	SYM
ejpam-3711	52	17	1230	1230	NUM
ejpam-3711	52	18	1215	1215	NUM
ejpam-3711	52	19	for	for	ADP
ejpam-3711	52	20	k	k	PROPN
ejpam-3711	52	21	∈	∈	PROPN
ejpam-3711	52	22	n.	n.	PROPN
ejpam-3711	52	23	moreover	moreover	ADV
ejpam-3711	52	24	,	,	PUNCT
ejpam-3711	52	25	in	in	ADP
ejpam-3711	52	26	[	[	PUNCT
ejpam-3711	52	27	7	7	NUM
ejpam-3711	52	28	]	]	PUNCT
ejpam-3711	52	29	,	,	PUNCT
ejpam-3711	52	30	baliarsingh	baliarsingh	PROPN
ejpam-3711	52	31	has	have	AUX
ejpam-3711	52	32	introduced	introduce	VERB
ejpam-3711	52	33	certain	certain	ADJ
ejpam-3711	52	34	new	new	ADJ
ejpam-3711	52	35	fractional	fractional	ADJ
ejpam-3711	52	36	-	-	PUNCT
ejpam-3711	52	37	order	order	NOUN
ejpam-3711	52	38	difference	difference	NOUN
ejpam-3711	52	39	sequence	sequence	NOUN
ejpam-3711	52	40	spaces	space	VERB
ejpam-3711	52	41	.	.	PUNCT
ejpam-3711	53	1	assume	assume	VERB
ejpam-3711	53	2	that	that	SCONJ
ejpam-3711	53	3	α	α	X
ejpam-3711	53	4	,	,	PUNCT
ejpam-3711	53	5	β	β	X
ejpam-3711	53	6	and	and	CCONJ
ejpam-3711	53	7	γ	γ	NOUN
ejpam-3711	53	8	are	be	AUX
ejpam-3711	53	9	real	real	ADJ
ejpam-3711	53	10	numbers	number	NOUN
ejpam-3711	53	11	and	and	CCONJ
ejpam-3711	53	12	also	also	ADV
ejpam-3711	53	13	assume	assume	VERB
ejpam-3711	53	14	that	that	SCONJ
ejpam-3711	53	15	h	h	NOUN
ejpam-3711	53	16	is	be	AUX
ejpam-3711	53	17	a	a	DET
ejpam-3711	53	18	positive	positive	ADJ
ejpam-3711	53	19	constant	constant	NOUN
ejpam-3711	53	20	.	.	PUNCT
ejpam-3711	54	1	for	for	ADP
ejpam-3711	54	2	any	any	DET
ejpam-3711	54	3	(	(	PUNCT
ejpam-3711	54	4	xk	xk	NOUN
ejpam-3711	54	5	)	)	PUNCT
ejpam-3711	54	6	∈	∈	PROPN
ejpam-3711	54	7	ω	ω	PROPN
ejpam-3711	54	8	,	,	PUNCT
ejpam-3711	54	9	the	the	DET
ejpam-3711	54	10	generalized	generalized	ADJ
ejpam-3711	54	11	difference	difference	NOUN
ejpam-3711	54	12	sequence	sequence	NOUN
ejpam-3711	54	13	with	with	ADP
ejpam-3711	54	14	a	a	DET
ejpam-3711	54	15	view	view	NOUN
ejpam-3711	54	16	of	of	ADP
ejpam-3711	54	17	fractional	fractional	ADJ
ejpam-3711	54	18	-	-	PUNCT
ejpam-3711	54	19	order	order	NOUN
ejpam-3711	54	20	difference	difference	NOUN
ejpam-3711	54	21	operator	operator	NOUN
ejpam-3711	54	22	∆α	∆α	PROPN
ejpam-3711	54	23	,	,	PUNCT
ejpam-3711	54	24	β	β	X
ejpam-3711	54	25	,	,	PUNCT
ejpam-3711	54	26	γ	γ	PROPN
ejpam-3711	54	27	h	h	NOUN
ejpam-3711	54	28	:	:	PUNCT
ejpam-3711	54	29	ω	ω	PROPN
ejpam-3711	54	30	→	→	SYM
ejpam-3711	54	31	ω	ω	PROPN
ejpam-3711	54	32	is	be	AUX
ejpam-3711	54	33	defined	define	VERB
ejpam-3711	54	34	by	by	ADP
ejpam-3711	54	35	(	(	PUNCT
ejpam-3711	54	36	∆α	∆α	PROPN
ejpam-3711	54	37	,	,	PUNCT
ejpam-3711	54	38	β	β	X
ejpam-3711	54	39	,	,	PUNCT
ejpam-3711	54	40	γ	γ	PROPN
ejpam-3711	54	41	h	h	PROPN
ejpam-3711	54	42	xk	xk	PROPN
ejpam-3711	54	43	)	)	PUNCT
ejpam-3711	54	44	=	=	PUNCT
ejpam-3711	55	1	∞∑	∞∑	NUM
ejpam-3711	55	2	i=0	i=0	PROPN
ejpam-3711	55	3	(	(	PUNCT
ejpam-3711	55	4	−α)i	−α)i	NOUN
ejpam-3711	55	5	−	−	PROPN
ejpam-3711	55	6	(	(	PUNCT
ejpam-3711	55	7	β)i	β)i	PUNCT
ejpam-3711	55	8	i!(−γ)ihα+β−γ	i!(−γ)ihα+β−γ	ADJ
ejpam-3711	55	9	xk−i	xk−i	NOUN
ejpam-3711	55	10	(	(	PUNCT
ejpam-3711	55	11	k	k	PROPN
ejpam-3711	55	12	∈	∈	PROPN
ejpam-3711	55	13	n	n	CCONJ
ejpam-3711	55	14	)	)	PUNCT
ejpam-3711	55	15	.	.	PUNCT
ejpam-3711	56	1	(	(	PUNCT
ejpam-3711	56	2	1	1	X
ejpam-3711	56	3	)	)	PUNCT
ejpam-3711	56	4	we	we	PRON
ejpam-3711	56	5	now	now	ADV
ejpam-3711	56	6	recall	recall	VERB
ejpam-3711	56	7	the	the	DET
ejpam-3711	56	8	sequence	sequence	NOUN
ejpam-3711	56	9	of	of	ADP
ejpam-3711	56	10	fractional	fractional	ADJ
ejpam-3711	56	11	-	-	PUNCT
ejpam-3711	56	12	order	order	NOUN
ejpam-3711	56	13	backward	backward	ADJ
ejpam-3711	56	14	difference	difference	NOUN
ejpam-3711	56	15	operator	operator	NOUN
ejpam-3711	56	16	(	(	PUNCT
ejpam-3711	56	17	see	see	VERB
ejpam-3711	56	18	[	[	X
ejpam-3711	56	19	7	7	NUM
ejpam-3711	56	20	]	]	SYM
ejpam-3711	56	21	)	)	PUNCT
ejpam-3711	56	22	which	which	PRON
ejpam-3711	56	23	is	be	AUX
ejpam-3711	56	24	required	require	VERB
ejpam-3711	56	25	for	for	ADP
ejpam-3711	56	26	the	the	DET
ejpam-3711	56	27	present	present	ADJ
ejpam-3711	56	28	investigation	investigation	NOUN
ejpam-3711	56	29	.	.	PUNCT
ejpam-3711	57	1	suppose	suppose	VERB
ejpam-3711	57	2	that	that	SCONJ
ejpam-3711	57	3	f(x	f(x	PROPN
ejpam-3711	57	4	)	)	PUNCT
ejpam-3711	57	5	is	be	AUX
ejpam-3711	57	6	a	a	DET
ejpam-3711	57	7	fractional	fractional	ADJ
ejpam-3711	57	8	order	order	NOUN
ejpam-3711	57	9	differentiable	differentiable	ADJ
ejpam-3711	57	10	function	function	NOUN
ejpam-3711	57	11	and	and	CCONJ
ejpam-3711	57	12	also	also	ADV
ejpam-3711	57	13	suppose	suppose	VERB
ejpam-3711	57	14	that	that	SCONJ
ejpam-3711	57	15	h	h	PROPN
ejpam-3711	57	16	→	→	SYM
ejpam-3711	57	17	0	0	X
ejpam-3711	57	18	.	.	X
ejpam-3711	57	19	consider	consider	VERB
ejpam-3711	57	20	the	the	DET
ejpam-3711	57	21	sequence	sequence	NOUN
ejpam-3711	57	22	{	{	PUNCT
ejpam-3711	57	23	fh(x	fh(x	NOUN
ejpam-3711	57	24	)	)	PUNCT
ejpam-3711	57	25	}	}	PUNCT
ejpam-3711	57	26	which	which	PRON
ejpam-3711	57	27	is	be	AUX
ejpam-3711	57	28	associated	associate	VERB
ejpam-3711	57	29	to	to	ADP
ejpam-3711	57	30	f(x	f(x	PROPN
ejpam-3711	57	31	)	)	PUNCT
ejpam-3711	57	32	given	give	VERB
ejpam-3711	57	33	by	by	ADP
ejpam-3711	57	34	fh(x	fh(x	PUNCT
ejpam-3711	57	35	)	)	PUNCT
ejpam-3711	57	36	=	=	PUNCT
ejpam-3711	57	37	(	(	PUNCT
ejpam-3711	57	38	f(x−	f(x−	NOUN
ejpam-3711	57	39	ih))i∈n0	ih))i∈n0	NOUN
ejpam-3711	57	40	.	.	PUNCT
ejpam-3711	58	1	next	next	ADV
ejpam-3711	58	2	,	,	PUNCT
ejpam-3711	58	3	in	in	ADP
ejpam-3711	58	4	view	view	NOUN
ejpam-3711	58	5	of	of	ADP
ejpam-3711	58	6	∆α	∆α	PROPN
ejpam-3711	58	7	,	,	PUNCT
ejpam-3711	58	8	β	β	X
ejpam-3711	58	9	,	,	PUNCT
ejpam-3711	58	10	γ	γ	PROPN
ejpam-3711	58	11	h	h	PROPN
ejpam-3711	58	12	,	,	PUNCT
ejpam-3711	58	13	x	x	PRON
ejpam-3711	58	14	,	,	PUNCT
ejpam-3711	58	15	the	the	DET
ejpam-3711	58	16	sequence	sequence	NOUN
ejpam-3711	58	17	spaces	space	VERB
ejpam-3711	58	18	∆α	∆α	PROPN
ejpam-3711	58	19	,	,	PUNCT
ejpam-3711	58	20	β	β	X
ejpam-3711	58	21	,	,	PUNCT
ejpam-3711	58	22	γ	γ	PROPN
ejpam-3711	58	23	h	h	PROPN
ejpam-3711	58	24	,	,	PUNCT
ejpam-3711	58	25	x	x	X
ejpam-3711	58	26	(	(	PUNCT
ejpam-3711	58	27	fh(x	fh(x	NUM
ejpam-3711	58	28	)	)	PUNCT
ejpam-3711	58	29	)	)	PUNCT
ejpam-3711	59	1	is	be	AUX
ejpam-3711	59	2	given	give	VERB
ejpam-3711	59	3	by	by	ADP
ejpam-3711	59	4	∆α	∆α	PROPN
ejpam-3711	59	5	,	,	PUNCT
ejpam-3711	59	6	β	β	X
ejpam-3711	59	7	,	,	PUNCT
ejpam-3711	59	8	γ	γ	PROPN
ejpam-3711	59	9	h	h	PROPN
ejpam-3711	59	10	,	,	PUNCT
ejpam-3711	59	11	x	x	PROPN
ejpam-3711	59	12	f(x	f(x	PROPN
ejpam-3711	59	13	)	)	PUNCT
ejpam-3711	59	14	=	=	PUNCT
ejpam-3711	60	1	∞∑	∞∑	NUM
ejpam-3711	60	2	i=0	i=0	PROPN
ejpam-3711	60	3	(	(	PUNCT
ejpam-3711	60	4	−α)i(−β)i	−α)i(−β)i	NOUN
ejpam-3711	60	5	i!(−γ)ihα+β−γ	i!(−γ)ihα+β−γ	NOUN
ejpam-3711	60	6	f(x−	f(x−	PROPN
ejpam-3711	60	7	ih	ih	NOUN
ejpam-3711	60	8	)	)	PUNCT
ejpam-3711	60	9	.	.	PUNCT
ejpam-3711	61	1	(	(	PUNCT
ejpam-3711	61	2	2	2	X
ejpam-3711	61	3	)	)	PUNCT
ejpam-3711	61	4	in	in	ADP
ejpam-3711	61	5	the	the	DET
ejpam-3711	61	6	last	last	ADJ
ejpam-3711	61	7	equality	equality	NOUN
ejpam-3711	61	8	,	,	PUNCT
ejpam-3711	61	9	(	(	PUNCT
ejpam-3711	61	10	α)k	α)k	AUX
ejpam-3711	61	11	denotes	denote	VERB
ejpam-3711	61	12	the	the	DET
ejpam-3711	61	13	pochhammer	pochhammer	NOUN
ejpam-3711	61	14	symbol	symbol	NOUN
ejpam-3711	61	15	of	of	ADP
ejpam-3711	61	16	a	a	DET
ejpam-3711	61	17	real	real	ADJ
ejpam-3711	61	18	number	number	NOUN
ejpam-3711	61	19	α	α	NOUN
ejpam-3711	61	20	and	and	CCONJ
ejpam-3711	61	21	is	be	AUX
ejpam-3711	61	22	given	give	VERB
ejpam-3711	61	23	by	by	ADP
ejpam-3711	61	24	the	the	DET
ejpam-3711	61	25	formula	formula	NOUN
ejpam-3711	61	26	(	(	PUNCT
ejpam-3711	61	27	α)k	α)k	NOUN
ejpam-3711	61	28	=	=	SYM
ejpam-3711	61	29			NOUN
ejpam-3711	61	30	1	1	NUM
ejpam-3711	61	31	(	(	PUNCT
ejpam-3711	61	32	α	α	NOUN
ejpam-3711	61	33	=	=	SYM
ejpam-3711	61	34	0	0	PROPN
ejpam-3711	61	35	or	or	CCONJ
ejpam-3711	61	36	k	k	X
ejpam-3711	61	37	=	=	NOUN
ejpam-3711	61	38	0	0	NUM
ejpam-3711	61	39	)	)	PUNCT
ejpam-3711	61	40	γ(α+k	γ(α+k	X
ejpam-3711	61	41	)	)	PUNCT
ejpam-3711	61	42	γ(α	γ(α	NOUN
ejpam-3711	61	43	)	)	PUNCT
ejpam-3711	62	1	=	=	PUNCT
ejpam-3711	62	2	α(α+	α(α+	NUM
ejpam-3711	62	3	1)(α+	1)(α+	NUM
ejpam-3711	62	4	2)	2)	NUM
ejpam-3711	62	5	...	...	PUNCT
ejpam-3711	62	6	(α+	(α+	PROPN
ejpam-3711	63	1	k	k	NOUN
ejpam-3711	64	1	−	−	PROPN
ejpam-3711	64	2	1	1	NUM
ejpam-3711	64	3	)	)	PUNCT
ejpam-3711	64	4	(	(	PUNCT
ejpam-3711	64	5	k	k	PROPN
ejpam-3711	64	6	∈	∈	PROPN
ejpam-3711	64	7	n	n	CCONJ
ejpam-3711	64	8	)	)	PUNCT
ejpam-3711	64	9	.	.	PUNCT
ejpam-3711	65	1	also	also	ADV
ejpam-3711	65	2	,	,	PUNCT
ejpam-3711	65	3	without	without	ADP
ejpam-3711	65	4	loss	loss	NOUN
ejpam-3711	65	5	of	of	ADP
ejpam-3711	65	6	generality	generality	NOUN
ejpam-3711	65	7	,	,	PUNCT
ejpam-3711	65	8	the	the	DET
ejpam-3711	65	9	summation	summation	NOUN
ejpam-3711	65	10	considered	consider	VERB
ejpam-3711	65	11	in	in	ADP
ejpam-3711	65	12	the	the	DET
ejpam-3711	65	13	equality	equality	NOUN
ejpam-3711	65	14	(	(	PUNCT
ejpam-3711	65	15	2	2	NUM
ejpam-3711	65	16	)	)	PUNCT
ejpam-3711	65	17	converges	converge	NOUN
ejpam-3711	65	18	for	for	ADP
ejpam-3711	65	19	all	all	DET
ejpam-3711	65	20	γ	γ	X
ejpam-3711	65	21	>	>	X
ejpam-3711	65	22	α+	α+	PUNCT
ejpam-3711	65	23	β	β	X
ejpam-3711	65	24	(	(	PUNCT
ejpam-3711	65	25	see	see	VERB
ejpam-3711	65	26	[	[	X
ejpam-3711	65	27	18	18	NUM
ejpam-3711	65	28	]	]	NUM
ejpam-3711	65	29	)	)	PUNCT
ejpam-3711	65	30	.	.	PUNCT
ejpam-3711	66	1	moreover	moreover	ADV
ejpam-3711	66	2	,	,	PUNCT
ejpam-3711	66	3	since	since	SCONJ
ejpam-3711	66	4	in	in	ADP
ejpam-3711	66	5	all	all	DET
ejpam-3711	66	6	the	the	DET
ejpam-3711	66	7	cases	case	NOUN
ejpam-3711	66	8	it	it	PRON
ejpam-3711	66	9	is	be	AUX
ejpam-3711	66	10	not	not	PART
ejpam-3711	66	11	possible	possible	ADJ
ejpam-3711	66	12	to	to	PART
ejpam-3711	66	13	calculate	calculate	VERB
ejpam-3711	66	14	either	either	CCONJ
ejpam-3711	66	15	the	the	DET
ejpam-3711	66	16	simple	simple	ADJ
ejpam-3711	66	17	limits	limit	NOUN
ejpam-3711	66	18	or	or	CCONJ
ejpam-3711	66	19	the	the	DET
ejpam-3711	66	20	statistical	statistical	ADJ
ejpam-3711	66	21	limits	limit	NOUN
ejpam-3711	66	22	with	with	ADP
ejpam-3711	66	23	exact	exact	ADJ
ejpam-3711	66	24	precision	precision	NOUN
ejpam-3711	66	25	.	.	PUNCT
ejpam-3711	67	1	so	so	ADV
ejpam-3711	67	2	different	different	ADJ
ejpam-3711	67	3	approaches	approach	NOUN
ejpam-3711	67	4	such	such	ADJ
ejpam-3711	67	5	as	as	ADP
ejpam-3711	67	6	fuzzy	fuzzy	ADJ
ejpam-3711	67	7	logic	logic	NOUN
ejpam-3711	67	8	,	,	PUNCT
ejpam-3711	67	9	fuzzy	fuzzy	ADJ
ejpam-3711	67	10	set	set	NOUN
ejpam-3711	67	11	theory	theory	NOUN
ejpam-3711	67	12	,	,	PUNCT
ejpam-3711	67	13	set	set	VERB
ejpam-3711	67	14	valued	value	VERB
ejpam-3711	67	15	analysis	analysis	NOUN
ejpam-3711	67	16	,	,	PUNCT
ejpam-3711	67	17	interval	interval	NOUN
ejpam-3711	67	18	analysis	analysis	NOUN
ejpam-3711	67	19	,	,	PUNCT
ejpam-3711	67	20	etc	etc	X
ejpam-3711	67	21	.	.	X
ejpam-3711	67	22	were	be	AUX
ejpam-3711	67	23	introduced	introduce	VERB
ejpam-3711	67	24	by	by	ADP
ejpam-3711	67	25	various	various	ADJ
ejpam-3711	67	26	researchers	researcher	NOUN
ejpam-3711	67	27	to	to	PART
ejpam-3711	67	28	model	model	VERB
ejpam-3711	67	29	several	several	ADJ
ejpam-3711	67	30	mathematical	mathematical	ADJ
ejpam-3711	67	31	structures	structure	NOUN
ejpam-3711	67	32	.	.	PUNCT
ejpam-3711	68	1	in	in	ADP
ejpam-3711	68	2	this	this	DET
ejpam-3711	68	3	context	context	NOUN
ejpam-3711	68	4	,	,	PUNCT
ejpam-3711	68	5	we	we	PRON
ejpam-3711	68	6	recall	recall	VERB
ejpam-3711	68	7	some	some	DET
ejpam-3711	68	8	fuzzy	fuzzy	ADJ
ejpam-3711	68	9	approximation	approximation	NOUN
ejpam-3711	68	10	(	(	PUNCT
ejpam-3711	68	11	korovkin	korovkin	NOUN
ejpam-3711	68	12	-	-	PUNCT
ejpam-3711	68	13	type	type	NOUN
ejpam-3711	68	14	)	)	PUNCT
ejpam-3711	68	15	theorems	theorem	NOUN
ejpam-3711	68	16	recently	recently	ADV
ejpam-3711	68	17	studied	study	VERB
ejpam-3711	68	18	by	by	ADP
ejpam-3711	68	19	anastassiou	anastassiou	NOUN
ejpam-3711	68	20	[	[	X
ejpam-3711	68	21	2	2	NUM
ejpam-3711	68	22	]	]	PUNCT
ejpam-3711	68	23	,	,	PUNCT
ejpam-3711	68	24	anastassiou	anastassiou	NOUN
ejpam-3711	68	25	and	and	CCONJ
ejpam-3711	68	26	duman	duman	PROPN
ejpam-3711	69	1	[	[	X
ejpam-3711	69	2	3	3	NUM
ejpam-3711	69	3	]	]	PUNCT
ejpam-3711	69	4	,	,	PUNCT
ejpam-3711	69	5	karaisa	karaisa	NOUN
ejpam-3711	69	6	and	and	CCONJ
ejpam-3711	69	7	kadak	kadak	NOUN
ejpam-3711	70	1	[	[	X
ejpam-3711	70	2	26	26	NUM
ejpam-3711	70	3	]	]	PUNCT
ejpam-3711	70	4	,	,	PUNCT
ejpam-3711	70	5	and	and	CCONJ
ejpam-3711	70	6	mohiuddine	mohiuddine	NOUN
ejpam-3711	70	7	et	et	PROPN
ejpam-3711	70	8	al	al	PROPN
ejpam-3711	70	9	.	.	PUNCT
ejpam-3711	71	1	(	(	PUNCT
ejpam-3711	71	2	[	[	X
ejpam-3711	71	3	29	29	NUM
ejpam-3711	71	4	]	]	PUNCT
ejpam-3711	71	5	and	and	CCONJ
ejpam-3711	71	6	[	[	X
ejpam-3711	71	7	30	30	NUM
ejpam-3711	71	8	]	]	NUM
ejpam-3711	71	9	)	)	PUNCT
ejpam-3711	71	10	.	.	PUNCT
ejpam-3711	72	1	the	the	DET
ejpam-3711	72	2	main	main	ADJ
ejpam-3711	72	3	objective	objective	NOUN
ejpam-3711	72	4	of	of	ADP
ejpam-3711	72	5	the	the	DET
ejpam-3711	72	6	proposed	propose	VERB
ejpam-3711	72	7	work	work	NOUN
ejpam-3711	72	8	is	be	AUX
ejpam-3711	72	9	to	to	PART
ejpam-3711	72	10	establish	establish	VERB
ejpam-3711	72	11	a	a	DET
ejpam-3711	72	12	fuzzy	fuzzy	ADJ
ejpam-3711	72	13	approximation	approximation	NOUN
ejpam-3711	72	14	(	(	PUNCT
ejpam-3711	72	15	korovkin	korovkin	NOUN
ejpam-3711	72	16	-	-	PUNCT
ejpam-3711	72	17	type	type	NOUN
ejpam-3711	72	18	)	)	PUNCT
ejpam-3711	72	19	theorem	theorem	NOUN
ejpam-3711	72	20	by	by	ADP
ejpam-3711	72	21	using	use	VERB
ejpam-3711	72	22	relatively	relatively	ADV
ejpam-3711	72	23	deferred	deferred	ADJ
ejpam-3711	72	24	nörlund	nörlund	NOUN
ejpam-3711	72	25	equi	equi	NOUN
ejpam-3711	72	26	-	-	PUNCT
ejpam-3711	72	27	statistical	statistical	ADJ
ejpam-3711	72	28	convergence	convergence	NOUN
ejpam-3711	72	29	based	base	VERB
ejpam-3711	72	30	on	on	ADP
ejpam-3711	72	31	∆α	∆α	PROPN
ejpam-3711	72	32	,	,	PUNCT
ejpam-3711	72	33	β	β	X
ejpam-3711	72	34	,	,	PUNCT
ejpam-3711	72	35	γ	γ	PROPN
ejpam-3711	72	36	h	h	NOUN
ejpam-3711	72	37	and	and	CCONJ
ejpam-3711	72	38	further	far	ADV
ejpam-3711	72	39	to	to	PART
ejpam-3711	72	40	estimate	estimate	VERB
ejpam-3711	72	41	its	its	PRON
ejpam-3711	72	42	statistical	statistical	ADJ
ejpam-3711	72	43	fuzzy	fuzzy	ADJ
ejpam-3711	72	44	rates	rate	NOUN
ejpam-3711	72	45	with	with	ADP
ejpam-3711	72	46	the	the	DET
ejpam-3711	72	47	help	help	NOUN
ejpam-3711	72	48	of	of	ADP
ejpam-3711	72	49	the	the	DET
ejpam-3711	72	50	fuzzy	fuzzy	ADJ
ejpam-3711	72	51	modulus	modulus	NOUN
ejpam-3711	72	52	of	of	ADP
ejpam-3711	72	53	continuity	continuity	NOUN
ejpam-3711	72	54	.	.	PUNCT
ejpam-3711	73	1	2	2	X
ejpam-3711	73	2	.	.	X
ejpam-3711	73	3	some	some	DET
ejpam-3711	73	4	basic	basic	ADJ
ejpam-3711	73	5	definitions	definition	NOUN
ejpam-3711	73	6	consider	consider	VERB
ejpam-3711	73	7	a	a	DET
ejpam-3711	73	8	fuzzy	fuzzy	ADJ
ejpam-3711	73	9	number	number	NOUN
ejpam-3711	73	10	valued	value	VERB
ejpam-3711	73	11	functionx	functionx	NOUN
ejpam-3711	73	12	:	:	PUNCT
ejpam-3711	74	1	r→	r→	PROPN
ejpam-3711	75	1	[	[	X
ejpam-3711	75	2	0	0	NUM
ejpam-3711	75	3	,	,	PUNCT
ejpam-3711	75	4	1	1	NUM
ejpam-3711	75	5	]	]	PUNCT
ejpam-3711	76	1	which	which	PRON
ejpam-3711	76	2	is	be	AUX
ejpam-3711	76	3	upper	upper	ADJ
ejpam-3711	76	4	semi	semi	ADJ
ejpam-3711	76	5	-	-	ADJ
ejpam-3711	76	6	continuous	continuous	ADJ
ejpam-3711	76	7	,	,	PUNCT
ejpam-3711	76	8	normal	normal	ADJ
ejpam-3711	76	9	and	and	CCONJ
ejpam-3711	76	10	convex	convex	PROPN
ejpam-3711	76	11	.	.	PUNCT
ejpam-3711	77	1	also	also	ADV
ejpam-3711	77	2	,	,	PUNCT
ejpam-3711	77	3	sup(x	sup(x	PROPN
ejpam-3711	77	4	)	)	PUNCT
ejpam-3711	77	5	,	,	PUNCT
ejpam-3711	77	6	the	the	DET
ejpam-3711	77	7	closure	closure	NOUN
ejpam-3711	77	8	of	of	ADP
ejpam-3711	77	9	this	this	DET
ejpam-3711	77	10	set	set	NOUN
ejpam-3711	77	11	is	be	AUX
ejpam-3711	77	12	compact	compact	ADJ
ejpam-3711	77	13	,	,	PUNCT
ejpam-3711	77	14	where	where	SCONJ
ejpam-3711	77	15	sup(x	sup(x	X
ejpam-3711	77	16	)	)	PUNCT
ejpam-3711	77	17	=	=	PRON
ejpam-3711	78	1	{	{	PUNCT
ejpam-3711	78	2	x	x	PUNCT
ejpam-3711	78	3	∈	∈	PROPN
ejpam-3711	78	4	r	r	NOUN
ejpam-3711	78	5	:	:	PUNCT
ejpam-3711	78	6	x(x	x(x	PROPN
ejpam-3711	78	7	)	)	PUNCT
ejpam-3711	78	8	>	>	X
ejpam-3711	78	9	0	0	NUM
ejpam-3711	78	10	}	}	PUNCT
ejpam-3711	78	11	.	.	PUNCT
ejpam-3711	79	1	let	let	VERB
ejpam-3711	79	2	rf	rf	PRON
ejpam-3711	79	3	denotes	denote	NOUN
ejpam-3711	79	4	the	the	DET
ejpam-3711	79	5	set	set	NOUN
ejpam-3711	79	6	of	of	ADP
ejpam-3711	79	7	fuzzy	fuzzy	ADJ
ejpam-3711	79	8	numbers	number	NOUN
ejpam-3711	79	9	and	and	CCONJ
ejpam-3711	79	10	let	let	VERB
ejpam-3711	79	11	[	[	PUNCT
ejpam-3711	79	12	x]0	x]0	PUNCT
ejpam-3711	79	13	=	=	SYM
ejpam-3711	79	14	{	{	PUNCT
ejpam-3711	79	15	x	x	PUNCT
ejpam-3711	79	16	∈	∈	PROPN
ejpam-3711	79	17	r	r	NOUN
ejpam-3711	79	18	:	:	PUNCT
ejpam-3711	79	19	x(x	x(x	PROPN
ejpam-3711	79	20	)	)	PUNCT
ejpam-3711	79	21	>	>	X
ejpam-3711	80	1	0	0	X
ejpam-3711	80	2	}	}	PUNCT
ejpam-3711	80	3	s.	s.	PROPN
ejpam-3711	80	4	k.	k.	PROPN
ejpam-3711	80	5	paikray	paikray	PROPN
ejpam-3711	80	6	,	,	PUNCT
ejpam-3711	80	7	p.	p.	PROPN
ejpam-3711	80	8	parida	parida	PROPN
ejpam-3711	80	9	,	,	PUNCT
ejpam-3711	80	10	s.	s.	PROPN
ejpam-3711	80	11	a.	a.	PROPN
ejpam-3711	80	12	mohiuddine	mohiuddine	PROPN
ejpam-3711	80	13	/	/	SYM
ejpam-3711	80	14	eur	eur	PROPN
ejpam-3711	80	15	.	.	PUNCT
ejpam-3711	81	1	j.	j.	PROPN
ejpam-3711	81	2	pure	pure	PROPN
ejpam-3711	81	3	appl	appl	PROPN
ejpam-3711	81	4	.	.	PROPN
ejpam-3711	81	5	math	math	PROPN
ejpam-3711	81	6	,	,	PUNCT
ejpam-3711	81	7	13	13	NUM
ejpam-3711	81	8	(	(	PUNCT
ejpam-3711	81	9	5	5	NUM
ejpam-3711	81	10	)	)	PUNCT
ejpam-3711	81	11	(	(	PUNCT
ejpam-3711	81	12	2020	2020	NUM
ejpam-3711	81	13	)	)	PUNCT
ejpam-3711	81	14	,	,	PUNCT
ejpam-3711	81	15	1212	1212	NUM
ejpam-3711	81	16	-	-	SYM
ejpam-3711	81	17	1230	1230	NUM
ejpam-3711	81	18	1216	1216	NUM
ejpam-3711	81	19	be	be	AUX
ejpam-3711	81	20	the	the	DET
ejpam-3711	81	21	closure	closure	NOUN
ejpam-3711	81	22	of	of	ADP
ejpam-3711	81	23	the	the	DET
ejpam-3711	81	24	set	set	NOUN
ejpam-3711	81	25	.	.	PUNCT
ejpam-3711	82	1	also	also	ADV
ejpam-3711	82	2	,	,	PUNCT
ejpam-3711	82	3	recall	recall	VERB
ejpam-3711	82	4	that	that	SCONJ
ejpam-3711	82	5	the	the	DET
ejpam-3711	82	6	closed	closed	ADJ
ejpam-3711	82	7	and	and	CCONJ
ejpam-3711	82	8	bounded	bounded	ADJ
ejpam-3711	82	9	interval	interval	NOUN
ejpam-3711	82	10	of	of	ADP
ejpam-3711	82	11	r	r	NOUN
ejpam-3711	82	12	(	(	PUNCT
ejpam-3711	82	13	see	see	VERB
ejpam-3711	82	14	[	[	X
ejpam-3711	82	15	19	19	NUM
ejpam-3711	82	16	]	]	PUNCT
ejpam-3711	82	17	)	)	PUNCT
ejpam-3711	82	18	denoted	denote	VERB
ejpam-3711	82	19	by	by	ADP
ejpam-3711	82	20	[	[	X
ejpam-3711	82	21	x]r	x]r	NOUN
ejpam-3711	82	22	is	be	AUX
ejpam-3711	82	23	given	give	VERB
ejpam-3711	82	24	as	as	ADP
ejpam-3711	82	25	[	[	X
ejpam-3711	82	26	x]r	x]r	X
ejpam-3711	82	27	=	=	SYM
ejpam-3711	82	28	{	{	PUNCT
ejpam-3711	82	29	x	x	PUNCT
ejpam-3711	82	30	∈	∈	PROPN
ejpam-3711	82	31	r	r	NOUN
ejpam-3711	82	32	:	:	PUNCT
ejpam-3711	82	33	x(x	x(x	X
ejpam-3711	82	34	)	)	PUNCT
ejpam-3711	83	1	=	=	SYM
ejpam-3711	83	2	r	r	X
ejpam-3711	83	3	}	}	PUNCT
ejpam-3711	83	4	(	(	PUNCT
ejpam-3711	83	5	r	r	NOUN
ejpam-3711	83	6	∈	∈	PROPN
ejpam-3711	83	7	(	(	PUNCT
ejpam-3711	83	8	0	0	NUM
ejpam-3711	83	9	,	,	PUNCT
ejpam-3711	83	10	1	1	NUM
ejpam-3711	83	11	]	]	NUM
ejpam-3711	83	12	)	)	PUNCT
ejpam-3711	83	13	.	.	PUNCT
ejpam-3711	84	1	now	now	ADV
ejpam-3711	84	2	,	,	PUNCT
ejpam-3711	84	3	we	we	PRON
ejpam-3711	84	4	define	define	VERB
ejpam-3711	84	5	the	the	DET
ejpam-3711	84	6	fuzzy	fuzzy	ADJ
ejpam-3711	84	7	sum	sum	NOUN
ejpam-3711	84	8	and	and	CCONJ
ejpam-3711	84	9	the	the	DET
ejpam-3711	84	10	fuzzy	fuzzy	ADJ
ejpam-3711	84	11	product	product	NOUN
ejpam-3711	84	12	as	as	SCONJ
ejpam-3711	84	13	follows	follow	VERB
ejpam-3711	84	14	:	:	PUNCT
ejpam-3711	84	15	let	let	VERB
ejpam-3711	84	16	u	u	NOUN
ejpam-3711	84	17	,	,	PUNCT
ejpam-3711	84	18	v	v	NOUN
ejpam-3711	84	19	∈	∈	NOUN
ejpam-3711	84	20	rf	rf	NOUN
ejpam-3711	84	21	and	and	CCONJ
ejpam-3711	84	22	suppose	suppose	VERB
ejpam-3711	84	23	that	that	SCONJ
ejpam-3711	84	24	λ	λ	PROPN
ejpam-3711	84	25	∈	∈	PROPN
ejpam-3711	84	26	r.	r.	PROPN
ejpam-3711	84	27	for	for	ADP
ejpam-3711	84	28	r	r	PROPN
ejpam-3711	84	29	∈	∈	PROPN
ejpam-3711	84	30	(	(	PUNCT
ejpam-3711	84	31	0	0	NUM
ejpam-3711	84	32	,	,	PUNCT
ejpam-3711	84	33	1	1	NUM
ejpam-3711	84	34	]	]	PUNCT
ejpam-3711	84	35	the	the	DET
ejpam-3711	84	36	fuzzy	fuzzy	ADJ
ejpam-3711	84	37	sum	sum	NOUN
ejpam-3711	84	38	and	and	CCONJ
ejpam-3711	84	39	the	the	DET
ejpam-3711	84	40	fuzzy	fuzzy	ADJ
ejpam-3711	84	41	product	product	NOUN
ejpam-3711	84	42	respectively	respectively	ADV
ejpam-3711	84	43	denoted	denote	VERB
ejpam-3711	84	44	by	by	ADP
ejpam-3711	84	45	u	u	PROPN
ejpam-3711	84	46	⊕	⊕	PROPN
ejpam-3711	84	47	v	v	NOUN
ejpam-3711	84	48	and	and	CCONJ
ejpam-3711	84	49	u	u	PROPN
ejpam-3711	84	50	�	�	PROPN
ejpam-3711	84	51	v	v	PROPN
ejpam-3711	84	52	are	be	AUX
ejpam-3711	84	53	given	give	VERB
ejpam-3711	84	54	by	by	ADP
ejpam-3711	84	55	[	[	X
ejpam-3711	84	56	u	u	PROPN
ejpam-3711	84	57	⊕	⊕	PROPN
ejpam-3711	84	58	v]r	v]r	NOUN
ejpam-3711	84	59	=	=	PUNCT
ejpam-3711	85	1	[	[	X
ejpam-3711	85	2	u]r	u]r	X
ejpam-3711	85	3	+	+	CCONJ
ejpam-3711	86	1	[	[	X
ejpam-3711	86	2	v]r	v]r	NOUN
ejpam-3711	86	3	and	and	CCONJ
ejpam-3711	86	4	[	[	X
ejpam-3711	86	5	λ	λ	X
ejpam-3711	86	6	�	�	PROPN
ejpam-3711	86	7	v]r	v]r	NOUN
ejpam-3711	86	8	=	=	SYM
ejpam-3711	86	9	λ[u]r	λ[u]r	PROPN
ejpam-3711	86	10	.	.	PUNCT
ejpam-3711	87	1	next	next	ADV
ejpam-3711	87	2	,	,	PUNCT
ejpam-3711	87	3	consider	consider	VERB
ejpam-3711	87	4	the	the	DET
ejpam-3711	87	5	interval	interval	NOUN
ejpam-3711	88	1	[	[	X
ejpam-3711	88	2	u]r	u]r	NOUN
ejpam-3711	88	3	of	of	ADP
ejpam-3711	88	4	the	the	DET
ejpam-3711	88	5	form	form	NOUN
ejpam-3711	88	6	[	[	X
ejpam-3711	88	7	ur−	ur−	PROPN
ejpam-3711	88	8	,	,	PUNCT
ejpam-3711	88	9	u	u	NOUN
ejpam-3711	88	10	r	r	NOUN
ejpam-3711	88	11	+	+	PROPN
ejpam-3711	88	12	]	]	X
ejpam-3711	88	13	,	,	PUNCT
ejpam-3711	88	14	where	where	SCONJ
ejpam-3711	88	15	ur−	ur−	NUM
ejpam-3711	88	16	5	5	NUM
ejpam-3711	88	17	ur+	ur+	NOUN
ejpam-3711	88	18	and	and	CCONJ
ejpam-3711	88	19	ur−	ur−	NUM
ejpam-3711	88	20	,	,	PUNCT
ejpam-3711	88	21	u	u	NOUN
ejpam-3711	88	22	r	r	NOUN
ejpam-3711	88	23	+	+	CCONJ
ejpam-3711	88	24	∈	∈	NOUN
ejpam-3711	88	25	r	r	NOUN
ejpam-3711	88	26	for	for	ADP
ejpam-3711	88	27	0	0	NUM
ejpam-3711	88	28	5	5	NUM
ejpam-3711	88	29	r	r	NOUN
ejpam-3711	88	30	5	5	NUM
ejpam-3711	88	31	1	1	NUM
ejpam-3711	88	32	.	.	PUNCT
ejpam-3711	89	1	also	also	ADV
ejpam-3711	89	2	,	,	PUNCT
ejpam-3711	89	3	for	for	ADP
ejpam-3711	89	4	u	u	NOUN
ejpam-3711	89	5	,	,	PUNCT
ejpam-3711	89	6	v	v	NOUN
ejpam-3711	89	7	∈	∈	PRON
ejpam-3711	89	8	rf	rf	NOUN
ejpam-3711	89	9	,	,	PUNCT
ejpam-3711	89	10	define	define	VERB
ejpam-3711	89	11	u	u	PROPN
ejpam-3711	89	12	�	�	PROPN
ejpam-3711	89	13	v	v	ADP
ejpam-3711	89	14	⇐	⇐	ADJ
ejpam-3711	89	15	⇒	⇒	NOUN
ejpam-3711	89	16	ur−	ur−	NUM
ejpam-3711	89	17	5	5	NUM
ejpam-3711	89	18	v	v	NOUN
ejpam-3711	89	19	r	r	NOUN
ejpam-3711	89	20	−	−	PROPN
ejpam-3711	89	21	and	and	CCONJ
ejpam-3711	89	22	ur+	ur+	ADJ
ejpam-3711	89	23	5	5	NUM
ejpam-3711	89	24	v	v	NOUN
ejpam-3711	89	25	r	r	NOUN
ejpam-3711	89	26	+	+	NOUN
ejpam-3711	89	27	∀	∀	NOUN
ejpam-3711	89	28	r	r	NOUN
ejpam-3711	89	29	∈	∈	NOUN
ejpam-3711	90	1	[	[	X
ejpam-3711	90	2	0	0	NUM
ejpam-3711	90	3	,	,	PUNCT
ejpam-3711	90	4	1	1	NUM
ejpam-3711	90	5	]	]	PUNCT
ejpam-3711	90	6	.	.	PUNCT
ejpam-3711	91	1	further	far	ADV
ejpam-3711	91	2	,	,	PUNCT
ejpam-3711	91	3	the	the	DET
ejpam-3711	91	4	metric	metric	ADJ
ejpam-3711	91	5	d	d	PROPN
ejpam-3711	91	6	is	be	AUX
ejpam-3711	91	7	such	such	ADJ
ejpam-3711	91	8	that	that	SCONJ
ejpam-3711	91	9	d	d	NOUN
ejpam-3711	91	10	:	:	PUNCT
ejpam-3711	91	11	rf	rf	NUM
ejpam-3711	91	12	×	×	NOUN
ejpam-3711	91	13	rf	rf	PRON
ejpam-3711	91	14	→	→	NOUN
ejpam-3711	91	15	r+	r+	NOUN
ejpam-3711	91	16	be	be	AUX
ejpam-3711	91	17	defined	define	VERB
ejpam-3711	91	18	as	as	ADP
ejpam-3711	91	19	d(u	d(u	PROPN
ejpam-3711	91	20	,	,	PUNCT
ejpam-3711	91	21	v	v	NOUN
ejpam-3711	91	22	)	)	PUNCT
ejpam-3711	91	23	=	=	SYM
ejpam-3711	91	24	sup	sup	NOUN
ejpam-3711	91	25	05r51	05r51	NOUN
ejpam-3711	91	26	max{|ur−	max{|ur−	NOUN
ejpam-3711	91	27	−	−	NOUN
ejpam-3711	91	28	vr−|	vr−|	PROPN
ejpam-3711	91	29	,	,	PUNCT
ejpam-3711	91	30	|ur+	|ur+	NOUN
ejpam-3711	91	31	−	−	NOUN
ejpam-3711	91	32	vr+|	vr+|	VERB
ejpam-3711	91	33	}	}	PUNCT
ejpam-3711	91	34	.	.	PUNCT
ejpam-3711	92	1	note	note	VERB
ejpam-3711	92	2	that	that	SCONJ
ejpam-3711	92	3	,	,	PUNCT
ejpam-3711	92	4	(	(	PUNCT
ejpam-3711	92	5	rf	rf	NUM
ejpam-3711	92	6	,	,	PUNCT
ejpam-3711	92	7	d	d	NOUN
ejpam-3711	92	8	)	)	PUNCT
ejpam-3711	92	9	is	be	AUX
ejpam-3711	92	10	a	a	DET
ejpam-3711	92	11	metric	metric	ADJ
ejpam-3711	92	12	space	space	NOUN
ejpam-3711	92	13	which	which	PRON
ejpam-3711	92	14	is	be	AUX
ejpam-3711	92	15	complete	complete	ADJ
ejpam-3711	92	16	(	(	PUNCT
ejpam-3711	92	17	see	see	VERB
ejpam-3711	92	18	[	[	X
ejpam-3711	92	19	42	42	NUM
ejpam-3711	92	20	]	]	PUNCT
ejpam-3711	92	21	)	)	PUNCT
ejpam-3711	92	22	.	.	PUNCT
ejpam-3711	93	1	consider	consider	VERB
ejpam-3711	93	2	two	two	NUM
ejpam-3711	93	3	fuzzy	fuzzy	ADJ
ejpam-3711	93	4	valued	value	VERB
ejpam-3711	93	5	functions	function	NOUN
ejpam-3711	93	6	f	f	PROPN
ejpam-3711	93	7	and	and	CCONJ
ejpam-3711	93	8	g	g	PROPN
ejpam-3711	93	9	such	such	ADJ
ejpam-3711	93	10	that	that	SCONJ
ejpam-3711	93	11	f	f	NOUN
ejpam-3711	93	12	,	,	PUNCT
ejpam-3711	93	13	g	g	NOUN
ejpam-3711	93	14	:	:	PUNCT
ejpam-3711	93	15	[	[	X
ejpam-3711	93	16	a	a	X
ejpam-3711	93	17	,	,	PUNCT
ejpam-3711	93	18	b	b	NOUN
ejpam-3711	93	19	]	]	X
ejpam-3711	93	20	→	→	SYM
ejpam-3711	93	21	r	r	NOUN
ejpam-3711	93	22	,	,	PUNCT
ejpam-3711	93	23	the	the	DET
ejpam-3711	93	24	distance	distance	NOUN
ejpam-3711	93	25	between	between	ADP
ejpam-3711	93	26	two	two	NUM
ejpam-3711	93	27	functions	function	NOUN
ejpam-3711	93	28	f	f	NOUN
ejpam-3711	93	29	and	and	CCONJ
ejpam-3711	93	30	g	g	PROPN
ejpam-3711	93	31	denoted	denote	VERB
ejpam-3711	93	32	as	as	ADP
ejpam-3711	93	33	d∗(f	d∗(f	PROPN
ejpam-3711	93	34	,	,	PUNCT
ejpam-3711	93	35	g	g	NOUN
ejpam-3711	93	36	)	)	PUNCT
ejpam-3711	93	37	is	be	AUX
ejpam-3711	93	38	given	give	VERB
ejpam-3711	93	39	by	by	ADP
ejpam-3711	93	40	d∗(f	d∗(f	PROPN
ejpam-3711	93	41	,	,	PUNCT
ejpam-3711	93	42	g	g	NOUN
ejpam-3711	93	43	)	)	PUNCT
ejpam-3711	93	44	=	=	SYM
ejpam-3711	93	45	sup	sup	NOUN
ejpam-3711	93	46	a5x5b	a5x5b	SYM
ejpam-3711	93	47	sup	sup	NOUN
ejpam-3711	93	48	05r51	05r51	NUM
ejpam-3711	94	1	max{|f	max{|f	PROPN
ejpam-3711	94	2	r−	r−	PROPN
ejpam-3711	94	3	−	−	PROPN
ejpam-3711	94	4	gr−|	gr−|	PROPN
ejpam-3711	94	5	,	,	PUNCT
ejpam-3711	94	6	|f	|f	PROPN
ejpam-3711	94	7	r+	r+	NOUN
ejpam-3711	94	8	−	−	PUNCT
ejpam-3711	94	9	gr+|	gr+|	PROPN
ejpam-3711	94	10	}	}	PUNCT
ejpam-3711	94	11	.	.	PUNCT
ejpam-3711	95	1	the	the	DET
ejpam-3711	95	2	fuzzy	fuzzy	ADJ
ejpam-3711	95	3	counterpart	counterpart	NOUN
ejpam-3711	95	4	of	of	ADP
ejpam-3711	95	5	the	the	DET
ejpam-3711	95	6	idea	idea	NOUN
ejpam-3711	95	7	statistical	statistical	ADJ
ejpam-3711	95	8	convergence	convergence	NOUN
ejpam-3711	95	9	for	for	ADP
ejpam-3711	95	10	sequence	sequence	NOUN
ejpam-3711	95	11	(	(	PUNCT
ejpam-3711	95	12	xn)n∈n	xn)n∈n	NUM
ejpam-3711	95	13	of	of	ADP
ejpam-3711	95	14	fuzzy	fuzzy	ADJ
ejpam-3711	95	15	numbers	number	NOUN
ejpam-3711	95	16	based	base	VERB
ejpam-3711	95	17	on	on	ADP
ejpam-3711	95	18	d	d	PROPN
ejpam-3711	95	19	was	be	AUX
ejpam-3711	95	20	introduced	introduce	VERB
ejpam-3711	95	21	by	by	ADP
ejpam-3711	95	22	nuray	nuray	NOUN
ejpam-3711	95	23	and	and	CCONJ
ejpam-3711	95	24	savaş	savaş	VERB
ejpam-3711	95	25	[	[	X
ejpam-3711	95	26	32	32	NUM
ejpam-3711	95	27	]	]	PUNCT
ejpam-3711	95	28	.	.	PUNCT
ejpam-3711	96	1	recall	recall	VERB
ejpam-3711	96	2	that	that	PRON
ejpam-3711	96	3	,	,	PUNCT
ejpam-3711	96	4	(	(	PUNCT
ejpam-3711	96	5	xn)n∈n	xn)n∈n	PROPN
ejpam-3711	96	6	is	be	AUX
ejpam-3711	96	7	statistically	statistically	ADV
ejpam-3711	96	8	convergent	convergent	ADJ
ejpam-3711	96	9	to	to	ADP
ejpam-3711	96	10	a	a	DET
ejpam-3711	96	11	fuzzy	fuzzy	ADJ
ejpam-3711	96	12	number	number	NOUN
ejpam-3711	96	13	`	`	PUNCT
ejpam-3711	96	14	,	,	PUNCT
ejpam-3711	96	15	in	in	ADP
ejpam-3711	96	16	symbols	symbol	NOUN
ejpam-3711	96	17	,	,	PUNCT
ejpam-3711	96	18	one	one	NUM
ejpam-3711	96	19	writes	write	VERB
ejpam-3711	96	20	stat	stat	VERB
ejpam-3711	96	21	d(xn	d(xn	PROPN
ejpam-3711	96	22	,	,	PUNCT
ejpam-3711	96	23	`	`	PUNCT
ejpam-3711	96	24	)	)	PUNCT
ejpam-3711	96	25	=	=	SYM
ejpam-3711	96	26	0	0	NUM
ejpam-3711	96	27	,	,	PUNCT
ejpam-3711	96	28	if	if	SCONJ
ejpam-3711	96	29	for	for	ADP
ejpam-3711	96	30	each	each	DET
ejpam-3711	96	31	ε	ε	PROPN
ejpam-3711	96	32	>	>	X
ejpam-3711	96	33	0	0	NUM
ejpam-3711	96	34	,	,	PUNCT
ejpam-3711	96	35	d(kε	d(kε	NOUN
ejpam-3711	96	36	)	)	PUNCT
ejpam-3711	96	37	=	=	SYM
ejpam-3711	96	38	lim	lim	PROPN
ejpam-3711	96	39	n→∞	n→∞	NUM
ejpam-3711	96	40	|kε|	|kε|	PROPN
ejpam-3711	96	41	n	n	PROPN
ejpam-3711	96	42	=	=	SYM
ejpam-3711	96	43	lim	lim	PROPN
ejpam-3711	96	44	n→∞	n→∞	X
ejpam-3711	96	45	|{k	|{k	X
ejpam-3711	96	46	:	:	PUNCT
ejpam-3711	96	47	k	k	PROPN
ejpam-3711	96	48	5	5	NUM
ejpam-3711	96	49	n	n	NOUN
ejpam-3711	96	50	and	and	CCONJ
ejpam-3711	96	51	d(xn	d(xn	NOUN
ejpam-3711	96	52	,	,	PUNCT
ejpam-3711	96	53	`	`	PUNCT
ejpam-3711	96	54	)	)	PUNCT
ejpam-3711	96	55	=	=	PUNCT
ejpam-3711	96	56	ε}|	ε}|	NOUN
ejpam-3711	96	57	n	n	NOUN
ejpam-3711	96	58	=	=	SYM
ejpam-3711	96	59	0	0	NUM
ejpam-3711	96	60	,	,	PUNCT
ejpam-3711	96	61	where	where	SCONJ
ejpam-3711	96	62	|	|	ADV
ejpam-3711	96	63	·	·	PUNCT
ejpam-3711	96	64	|	|	ADV
ejpam-3711	96	65	denotes	denote	VERB
ejpam-3711	96	66	the	the	DET
ejpam-3711	96	67	cardinality	cardinality	NOUN
ejpam-3711	96	68	of	of	ADP
ejpam-3711	96	69	the	the	DET
ejpam-3711	96	70	set	set	NOUN
ejpam-3711	96	71	.	.	PUNCT
ejpam-3711	97	1	next	next	ADV
ejpam-3711	97	2	,	,	PUNCT
ejpam-3711	97	3	before	before	ADP
ejpam-3711	97	4	presenting	present	VERB
ejpam-3711	97	5	the	the	DET
ejpam-3711	97	6	notion	notion	NOUN
ejpam-3711	97	7	of	of	ADP
ejpam-3711	97	8	the	the	DET
ejpam-3711	97	9	deferred	defer	VERB
ejpam-3711	97	10	nörlund	nörlund	NOUN
ejpam-3711	97	11	mean	mean	NOUN
ejpam-3711	97	12	under	under	ADP
ejpam-3711	97	13	the	the	DET
ejpam-3711	97	14	generalized	generalized	ADJ
ejpam-3711	97	15	differentiable	differentiable	ADJ
ejpam-3711	97	16	function	function	NOUN
ejpam-3711	97	17	f(x	f(x	PROPN
ejpam-3711	97	18	)	)	PUNCT
ejpam-3711	97	19	with	with	ADP
ejpam-3711	97	20	fractional	fractional	ADJ
ejpam-3711	97	21	order	order	NOUN
ejpam-3711	97	22	,	,	PUNCT
ejpam-3711	97	23	we	we	PRON
ejpam-3711	97	24	recall	recall	VERB
ejpam-3711	97	25	the	the	DET
ejpam-3711	97	26	regularity	regularity	NOUN
ejpam-3711	97	27	condition	condition	NOUN
ejpam-3711	97	28	(	(	PUNCT
ejpam-3711	97	29	see	see	VERB
ejpam-3711	97	30	agnew	agnew	PROPN
ejpam-3711	98	1	[	[	X
ejpam-3711	98	2	1	1	NUM
ejpam-3711	98	3	]	]	PUNCT
ejpam-3711	98	4	)	)	PUNCT
ejpam-3711	98	5	as	as	SCONJ
ejpam-3711	98	6	follows	follow	VERB
ejpam-3711	98	7	:	:	PUNCT
ejpam-3711	98	8	let	let	VERB
ejpam-3711	98	9	us	we	PRON
ejpam-3711	98	10	assume	assume	VERB
ejpam-3711	98	11	two	two	NUM
ejpam-3711	98	12	non	non	ADJ
ejpam-3711	98	13	-	-	ADJ
ejpam-3711	98	14	negative	negative	ADJ
ejpam-3711	98	15	sequences	sequence	NOUN
ejpam-3711	98	16	(	(	PUNCT
ejpam-3711	98	17	an	an	NOUN
ejpam-3711	98	18	)	)	PUNCT
ejpam-3711	98	19	and	and	CCONJ
ejpam-3711	98	20	(	(	PUNCT
ejpam-3711	98	21	bn	bn	NOUN
ejpam-3711	98	22	)	)	PUNCT
ejpam-3711	98	23	of	of	ADP
ejpam-3711	98	24	integers	integer	NOUN
ejpam-3711	98	25	such	such	ADJ
ejpam-3711	98	26	that	that	SCONJ
ejpam-3711	98	27	it	it	PRON
ejpam-3711	98	28	satisfies	satisfy	VERB
ejpam-3711	98	29	(	(	PUNCT
ejpam-3711	98	30	i	i	NOUN
ejpam-3711	98	31	)	)	PUNCT
ejpam-3711	98	32	an	an	DET
ejpam-3711	98	33	<	<	X
ejpam-3711	98	34	bn	bn	NOUN
ejpam-3711	98	35	and	and	CCONJ
ejpam-3711	98	36	(	(	PUNCT
ejpam-3711	98	37	ii	ii	NOUN
ejpam-3711	98	38	)	)	PUNCT
ejpam-3711	98	39	limn→∞	limn→∞	PROPN
ejpam-3711	98	40	bn	bn	NOUN
ejpam-3711	98	41	=	=	SYM
ejpam-3711	99	1	+	+	NOUN
ejpam-3711	99	2	∞	∞	PROPN
ejpam-3711	99	3	(	(	PUNCT
ejpam-3711	99	4	n	n	X
ejpam-3711	99	5	∈	∈	PROPN
ejpam-3711	99	6	n	n	CCONJ
ejpam-3711	99	7	)	)	PUNCT
ejpam-3711	99	8	.	.	PUNCT
ejpam-3711	100	1	we	we	PRON
ejpam-3711	100	2	remark	remark	VERB
ejpam-3711	100	3	that	that	SCONJ
ejpam-3711	100	4	these	these	DET
ejpam-3711	100	5	conditions	condition	NOUN
ejpam-3711	100	6	are	be	AUX
ejpam-3711	100	7	also	also	ADV
ejpam-3711	100	8	used	use	VERB
ejpam-3711	100	9	to	to	PART
ejpam-3711	100	10	define	define	VERB
ejpam-3711	100	11	the	the	DET
ejpam-3711	100	12	proposed	propose	VERB
ejpam-3711	100	13	deferred	defer	VERB
ejpam-3711	100	14	weighted	weight	VERB
ejpam-3711	100	15	mean	mean	NOUN
ejpam-3711	100	16	.	.	PUNCT
ejpam-3711	101	1	we	we	PRON
ejpam-3711	101	2	now	now	ADV
ejpam-3711	101	3	assume	assume	VERB
ejpam-3711	101	4	that	that	SCONJ
ejpam-3711	101	5	(	(	PUNCT
ejpam-3711	101	6	sn	sn	PROPN
ejpam-3711	101	7	)	)	PUNCT
ejpam-3711	101	8	and	and	CCONJ
ejpam-3711	101	9	(	(	PUNCT
ejpam-3711	101	10	tn	tn	NOUN
ejpam-3711	101	11	)	)	PUNCT
ejpam-3711	101	12	be	be	VERB
ejpam-3711	101	13	the	the	DET
ejpam-3711	101	14	sequences	sequence	NOUN
ejpam-3711	101	15	of	of	ADP
ejpam-3711	101	16	non	non	ADJ
ejpam-3711	101	17	-	-	ADJ
ejpam-3711	101	18	negative	negative	ADJ
ejpam-3711	101	19	real	real	ADJ
ejpam-3711	101	20	numbers	number	NOUN
ejpam-3711	101	21	such	such	ADJ
ejpam-3711	101	22	that	that	PRON
ejpam-3711	101	23	sn	sn	PROPN
ejpam-3711	101	24	=	=	PUNCT
ejpam-3711	101	25	bn∑	bn∑	PROPN
ejpam-3711	101	26	m	m	NOUN
ejpam-3711	101	27	=	=	NOUN
ejpam-3711	101	28	an+1	an+1	NOUN
ejpam-3711	101	29	sm	sm	NOUN
ejpam-3711	101	30	and	and	CCONJ
ejpam-3711	101	31	tn	tn	PROPN
ejpam-3711	101	32	=	=	PUNCT
ejpam-3711	101	33	bn∑	bn∑	PROPN
ejpam-3711	101	34	m	m	NOUN
ejpam-3711	101	35	=	=	NOUN
ejpam-3711	101	36	an+1	an+1	NOUN
ejpam-3711	101	37	tm	tm	PROPN
ejpam-3711	101	38	.	.	PROPN
ejpam-3711	101	39	s.	s.	PROPN
ejpam-3711	101	40	k.	k.	PROPN
ejpam-3711	101	41	paikray	paikray	PROPN
ejpam-3711	101	42	,	,	PUNCT
ejpam-3711	101	43	p.	p.	PROPN
ejpam-3711	101	44	parida	parida	PROPN
ejpam-3711	101	45	,	,	PUNCT
ejpam-3711	101	46	s.	s.	PROPN
ejpam-3711	101	47	a.	a.	PROPN
ejpam-3711	101	48	mohiuddine	mohiuddine	PROPN
ejpam-3711	101	49	/	/	SYM
ejpam-3711	101	50	eur	eur	PROPN
ejpam-3711	101	51	.	.	PUNCT
ejpam-3711	102	1	j.	j.	PROPN
ejpam-3711	102	2	pure	pure	PROPN
ejpam-3711	102	3	appl	appl	PROPN
ejpam-3711	102	4	.	.	PROPN
ejpam-3711	102	5	math	math	PROPN
ejpam-3711	102	6	,	,	PUNCT
ejpam-3711	102	7	13	13	NUM
ejpam-3711	102	8	(	(	PUNCT
ejpam-3711	102	9	5	5	NUM
ejpam-3711	102	10	)	)	PUNCT
ejpam-3711	102	11	(	(	PUNCT
ejpam-3711	102	12	2020	2020	NUM
ejpam-3711	102	13	)	)	PUNCT
ejpam-3711	102	14	,	,	PUNCT
ejpam-3711	102	15	1212	1212	NUM
ejpam-3711	102	16	-	-	SYM
ejpam-3711	102	17	1230	1230	NUM
ejpam-3711	102	18	1217	1217	NUM
ejpam-3711	102	19	the	the	DET
ejpam-3711	102	20	convolution	convolution	NOUN
ejpam-3711	102	21	of	of	ADP
ejpam-3711	102	22	the	the	DET
ejpam-3711	102	23	above	above	ADJ
ejpam-3711	102	24	sequences	sequence	NOUN
ejpam-3711	102	25	can	can	AUX
ejpam-3711	102	26	be	be	AUX
ejpam-3711	102	27	presented	present	VERB
ejpam-3711	102	28	as	as	ADP
ejpam-3711	102	29	(	(	PUNCT
ejpam-3711	102	30	see	see	VERB
ejpam-3711	102	31	[	[	X
ejpam-3711	102	32	39	39	NUM
ejpam-3711	102	33	]	]	NUM
ejpam-3711	102	34	)	)	PUNCT
ejpam-3711	102	35	,	,	PUNCT
ejpam-3711	102	36	rbnan+1	rbnan+1	NOUN
ejpam-3711	102	37	=	=	PUNCT
ejpam-3711	102	38	(	(	PUNCT
ejpam-3711	102	39	s	s	NOUN
ejpam-3711	102	40	∗	∗	X
ejpam-3711	102	41	t	t	NOUN
ejpam-3711	102	42	)	)	PUNCT
ejpam-3711	102	43	bn	bn	NOUN
ejpam-3711	103	1	=	=	PUNCT
ejpam-3711	103	2	bn∑	bn∑	PROPN
ejpam-3711	103	3	v	v	NOUN
ejpam-3711	103	4	=	=	NOUN
ejpam-3711	103	5	an+1	an+1	NOUN
ejpam-3711	103	6	svtbn−v	svtbn−v	PROPN
ejpam-3711	103	7	.	.	PUNCT
ejpam-3711	104	1	now	now	ADV
ejpam-3711	104	2	,	,	PUNCT
ejpam-3711	104	3	for	for	ADP
ejpam-3711	104	4	defining	define	VERB
ejpam-3711	104	5	the	the	DET
ejpam-3711	104	6	sequence	sequence	NOUN
ejpam-3711	104	7	(	(	PUNCT
ejpam-3711	104	8	fn	fn	NOUN
ejpam-3711	104	9	)	)	PUNCT
ejpam-3711	104	10	of	of	ADP
ejpam-3711	104	11	functions	function	NOUN
ejpam-3711	104	12	via	via	ADP
ejpam-3711	104	13	deferred	defer	VERB
ejpam-3711	104	14	nörlund	nörlund	NOUN
ejpam-3711	104	15	mean	mean	VERB
ejpam-3711	104	16	depends	depend	VERB
ejpam-3711	104	17	on	on	ADP
ejpam-3711	104	18	∆α	∆α	PROPN
ejpam-3711	104	19	,	,	PUNCT
ejpam-3711	104	20	β	β	X
ejpam-3711	104	21	,	,	PUNCT
ejpam-3711	104	22	γ	γ	PROPN
ejpam-3711	104	23	h	h	PROPN
ejpam-3711	104	24	,	,	PUNCT
ejpam-3711	104	25	x	x	INTJ
ejpam-3711	104	26	,	,	PUNCT
ejpam-3711	104	27	we	we	PRON
ejpam-3711	104	28	first	first	ADV
ejpam-3711	104	29	set	set	VERB
ejpam-3711	104	30	λn	λn	NOUN
ejpam-3711	104	31	=	=	SYM
ejpam-3711	104	32	1	1	NUM
ejpam-3711	104	33	rbnan+1	rbnan+1	NOUN
ejpam-3711	104	34	bn∑	bn∑	NOUN
ejpam-3711	104	35	m	m	NOUN
ejpam-3711	104	36	=	=	NOUN
ejpam-3711	104	37	an+1	an+1	ADJ
ejpam-3711	104	38	sbn−mtm	sbn−mtm	X
ejpam-3711	104	39	(	(	PUNCT
ejpam-3711	104	40	∆α	∆α	PROPN
ejpam-3711	104	41	,	,	PUNCT
ejpam-3711	104	42	β	β	X
ejpam-3711	104	43	,	,	PUNCT
ejpam-3711	104	44	γ	γ	PROPN
ejpam-3711	104	45	h	h	PROPN
ejpam-3711	104	46	,	,	PUNCT
ejpam-3711	104	47	x	x	X
ejpam-3711	104	48	fm(x	fm(x	X
ejpam-3711	104	49	)	)	PUNCT
ejpam-3711	104	50	)	)	PUNCT
ejpam-3711	104	51	.	.	PUNCT
ejpam-3711	105	1	(	(	PUNCT
ejpam-3711	105	2	3	3	X
ejpam-3711	105	3	)	)	PUNCT
ejpam-3711	105	4	we	we	PRON
ejpam-3711	105	5	say	say	VERB
ejpam-3711	105	6	that	that	SCONJ
ejpam-3711	105	7	(	(	PUNCT
ejpam-3711	105	8	fn	fn	NOUN
ejpam-3711	105	9	)	)	PUNCT
ejpam-3711	105	10	is	be	AUX
ejpam-3711	105	11	deferred	defer	VERB
ejpam-3711	105	12	nörlond	nörlond	ADJ
ejpam-3711	105	13	summable	summable	ADJ
ejpam-3711	105	14	to	to	ADP
ejpam-3711	105	15	a	a	DET
ejpam-3711	105	16	number	number	NOUN
ejpam-3711	105	17	`	`	PUNCT
ejpam-3711	105	18	under	under	ADP
ejpam-3711	105	19	the	the	DET
ejpam-3711	105	20	operator	operator	NOUN
ejpam-3711	105	21	∆α	∆α	PROPN
ejpam-3711	105	22	,	,	PUNCT
ejpam-3711	105	23	β	β	X
ejpam-3711	105	24	,	,	PUNCT
ejpam-3711	105	25	γ	γ	PROPN
ejpam-3711	105	26	h	h	PROPN
ejpam-3711	105	27	,	,	PUNCT
ejpam-3711	105	28	x	x	INTJ
ejpam-3711	105	29	,	,	PUNCT
ejpam-3711	105	30	provided	provide	VERB
ejpam-3711	105	31	limn→∞	limn→∞	PROPN
ejpam-3711	105	32	λn	λn	X
ejpam-3711	105	33	=	=	PUNCT
ejpam-3711	105	34	`	`	PUNCT
ejpam-3711	105	35	.	.	PUNCT
ejpam-3711	106	1	3	3	X
ejpam-3711	106	2	.	.	X
ejpam-3711	106	3	relatively	relatively	ADV
ejpam-3711	106	4	deferred	defer	VERB
ejpam-3711	106	5	weighted	weight	VERB
ejpam-3711	106	6	equi	equi	NOUN
ejpam-3711	106	7	-	-	PUNCT
ejpam-3711	106	8	statistical	statistical	ADJ
ejpam-3711	106	9	convergence	convergence	NOUN
ejpam-3711	106	10	with	with	ADP
ejpam-3711	106	11	associated	associated	ADJ
ejpam-3711	106	12	inclusion	inclusion	NOUN
ejpam-3711	106	13	relations	relation	NOUN
ejpam-3711	106	14	in	in	ADP
ejpam-3711	106	15	2018	2018	NUM
ejpam-3711	106	16	,	,	PUNCT
ejpam-3711	106	17	srivastava	srivastava	PROPN
ejpam-3711	106	18	et	et	PROPN
ejpam-3711	106	19	al	al	PROPN
ejpam-3711	106	20	.	.	PUNCT
ejpam-3711	107	1	[	[	X
ejpam-3711	107	2	39	39	NUM
ejpam-3711	107	3	]	]	PUNCT
ejpam-3711	107	4	used	use	VERB
ejpam-3711	107	5	the	the	DET
ejpam-3711	107	6	concept	concept	NOUN
ejpam-3711	107	7	of	of	ADP
ejpam-3711	107	8	deferred	defer	VERB
ejpam-3711	107	9	nörlund	nörlund	NOUN
ejpam-3711	107	10	mean	mean	VERB
ejpam-3711	107	11	to	to	PART
ejpam-3711	107	12	introduce	introduce	VERB
ejpam-3711	107	13	the	the	DET
ejpam-3711	107	14	ideas	idea	NOUN
ejpam-3711	107	15	of	of	ADP
ejpam-3711	107	16	point	point	NOUN
ejpam-3711	107	17	-	-	PUNCT
ejpam-3711	107	18	wise	wise	ADJ
ejpam-3711	107	19	and	and	CCONJ
ejpam-3711	107	20	uniform	uniform	ADJ
ejpam-3711	107	21	statistical	statistical	ADJ
ejpam-3711	107	22	convergence	convergence	NOUN
ejpam-3711	107	23	as	as	ADV
ejpam-3711	107	24	well	well	ADV
ejpam-3711	107	25	as	as	ADP
ejpam-3711	107	26	equi	equi	NOUN
ejpam-3711	107	27	-	-	PUNCT
ejpam-3711	107	28	statistical	statistical	ADJ
ejpam-3711	107	29	convergence	convergence	NOUN
ejpam-3711	107	30	while	while	SCONJ
ejpam-3711	107	31	these	these	DET
ejpam-3711	107	32	notions	notion	NOUN
ejpam-3711	107	33	in	in	ADP
ejpam-3711	107	34	classical	classical	ADJ
ejpam-3711	107	35	sense	sense	NOUN
ejpam-3711	107	36	were	be	AUX
ejpam-3711	107	37	defined	define	VERB
ejpam-3711	107	38	and	and	CCONJ
ejpam-3711	107	39	studied	study	VERB
ejpam-3711	107	40	by	by	ADP
ejpam-3711	107	41	balcerzak	balcerzak	NOUN
ejpam-3711	107	42	et	et	PROPN
ejpam-3711	107	43	al	al	PROPN
ejpam-3711	107	44	.	.	PUNCT
ejpam-3711	108	1	[	[	X
ejpam-3711	108	2	5	5	NUM
ejpam-3711	108	3	]	]	PUNCT
ejpam-3711	108	4	and	and	CCONJ
ejpam-3711	108	5	in	in	ADP
ejpam-3711	108	6	view	view	NOUN
ejpam-3711	108	7	of	of	ADP
ejpam-3711	108	8	weighted	weight	VERB
ejpam-3711	108	9	lacunary	lacunary	ADJ
ejpam-3711	108	10	sequence	sequence	NOUN
ejpam-3711	108	11	by	by	ADP
ejpam-3711	108	12	mohiuddine	mohiuddine	NOUN
ejpam-3711	108	13	and	and	CCONJ
ejpam-3711	108	14	alamri	alamri	ADJ
ejpam-3711	108	15	[	[	X
ejpam-3711	108	16	28	28	NUM
ejpam-3711	108	17	]	]	PUNCT
ejpam-3711	108	18	.	.	PUNCT
ejpam-3711	109	1	analogous	analogous	ADJ
ejpam-3711	109	2	to	to	ADP
ejpam-3711	109	3	these	these	DET
ejpam-3711	109	4	definitions	definition	NOUN
ejpam-3711	109	5	,	,	PUNCT
ejpam-3711	109	6	here	here	ADV
ejpam-3711	109	7	we	we	PRON
ejpam-3711	109	8	present	present	VERB
ejpam-3711	109	9	the	the	DET
ejpam-3711	109	10	definitions	definition	NOUN
ejpam-3711	109	11	of	of	ADP
ejpam-3711	109	12	relatively	relatively	ADV
ejpam-3711	109	13	deferred	defer	VERB
ejpam-3711	109	14	nörlund	nörlund	NOUN
ejpam-3711	109	15	pointwise	pointwise	PROPN
ejpam-3711	109	16	and	and	CCONJ
ejpam-3711	109	17	uniform	uniform	ADJ
ejpam-3711	109	18	statistical	statistical	ADJ
ejpam-3711	109	19	convergence	convergence	NOUN
ejpam-3711	109	20	and	and	CCONJ
ejpam-3711	109	21	relatively	relatively	ADV
ejpam-3711	109	22	deferred	defer	VERB
ejpam-3711	109	23	nörlund	nörlund	NOUN
ejpam-3711	109	24	equi	equi	NOUN
ejpam-3711	109	25	-	-	PUNCT
ejpam-3711	109	26	statistical	statistical	ADJ
ejpam-3711	109	27	convergence	convergence	NOUN
ejpam-3711	109	28	of	of	ADP
ejpam-3711	109	29	a	a	DET
ejpam-3711	109	30	fnvs	fnvs	NOUN
ejpam-3711	109	31	(	(	PUNCT
ejpam-3711	109	32	fuzzy	fuzzy	ADJ
ejpam-3711	109	33	number	number	NOUN
ejpam-3711	109	34	valued	value	VERB
ejpam-3711	109	35	sequence	sequence	NOUN
ejpam-3711	109	36	)	)	PUNCT
ejpam-3711	109	37	of	of	ADP
ejpam-3711	109	38	functions	function	NOUN
ejpam-3711	109	39	as	as	SCONJ
ejpam-3711	109	40	follows	follow	VERB
ejpam-3711	109	41	:	:	PUNCT
ejpam-3711	109	42	definition	definition	NOUN
ejpam-3711	109	43	1	1	NUM
ejpam-3711	109	44	.	.	PUNCT
ejpam-3711	109	45	assume	assume	VERB
ejpam-3711	109	46	that	that	SCONJ
ejpam-3711	109	47	(	(	PUNCT
ejpam-3711	109	48	an	an	X
ejpam-3711	109	49	)	)	PUNCT
ejpam-3711	109	50	and	and	CCONJ
ejpam-3711	109	51	(	(	PUNCT
ejpam-3711	109	52	bn	bn	X
ejpam-3711	109	53	)	)	PUNCT
ejpam-3711	109	54	are	be	AUX
ejpam-3711	109	55	sequences	sequence	NOUN
ejpam-3711	109	56	of	of	ADP
ejpam-3711	109	57	integers	integer	NOUN
ejpam-3711	109	58	and	and	CCONJ
ejpam-3711	109	59	e	e	NOUN
ejpam-3711	109	60	⊂	⊂	PROPN
ejpam-3711	109	61	r	r	NOUN
ejpam-3711	109	62	is	be	AUX
ejpam-3711	109	63	compact	compact	ADJ
ejpam-3711	109	64	.	.	PUNCT
ejpam-3711	110	1	also	also	ADV
ejpam-3711	110	2	assume	assume	VERB
ejpam-3711	110	3	that	that	SCONJ
ejpam-3711	110	4	(	(	PUNCT
ejpam-3711	110	5	fm	fm	NOUN
ejpam-3711	110	6	)	)	PUNCT
ejpam-3711	110	7	and	and	CCONJ
ejpam-3711	110	8	f	f	PROPN
ejpam-3711	110	9	are	be	AUX
ejpam-3711	110	10	fuzzy	fuzzy	ADJ
ejpam-3711	110	11	number	number	NOUN
ejpam-3711	110	12	valued	value	VERB
ejpam-3711	110	13	sequence	sequence	NOUN
ejpam-3711	110	14	(	(	PUNCT
ejpam-3711	110	15	in	in	ADP
ejpam-3711	110	16	short	short	ADJ
ejpam-3711	110	17	,	,	PUNCT
ejpam-3711	110	18	fnvs	fnvs	NOUN
ejpam-3711	110	19	)	)	PUNCT
ejpam-3711	110	20	of	of	ADP
ejpam-3711	110	21	functions	function	NOUN
ejpam-3711	110	22	and	and	CCONJ
ejpam-3711	110	23	fuzzy	fuzzy	ADJ
ejpam-3711	110	24	number	number	NOUN
ejpam-3711	110	25	valued	value	VERB
ejpam-3711	110	26	function	function	NOUN
ejpam-3711	110	27	(	(	PUNCT
ejpam-3711	110	28	in	in	ADP
ejpam-3711	110	29	short	short	ADJ
ejpam-3711	110	30	,	,	PUNCT
ejpam-3711	110	31	fnvf	fnvf	NOUN
ejpam-3711	110	32	)	)	PUNCT
ejpam-3711	110	33	respectively	respectively	ADV
ejpam-3711	110	34	,	,	PUNCT
ejpam-3711	110	35	both	both	PRON
ejpam-3711	110	36	defined	define	VERB
ejpam-3711	110	37	on	on	ADP
ejpam-3711	110	38	e.	e.	PROPN
ejpam-3711	110	39	then	then	ADV
ejpam-3711	110	40	,	,	PUNCT
ejpam-3711	110	41	the	the	DET
ejpam-3711	110	42	sequence	sequence	NOUN
ejpam-3711	110	43	(	(	PUNCT
ejpam-3711	110	44	fm	fm	NOUN
ejpam-3711	110	45	)	)	PUNCT
ejpam-3711	110	46	is	be	AUX
ejpam-3711	110	47	(	(	PUNCT
ejpam-3711	110	48	d1	d1	NOUN
ejpam-3711	110	49	)	)	PUNCT
ejpam-3711	110	50	relatively	relatively	ADV
ejpam-3711	110	51	weighted	weight	VERB
ejpam-3711	110	52	point	point	ADV
ejpam-3711	110	53	-	-	PUNCT
ejpam-3711	110	54	wise	wise	ADJ
ejpam-3711	110	55	statistically	statistically	ADV
ejpam-3711	110	56	convergent	convergent	ADJ
ejpam-3711	110	57	to	to	PART
ejpam-3711	110	58	limit	limit	VERB
ejpam-3711	110	59	of	of	ADP
ejpam-3711	110	60	fnvf	fnvf	NOUN
ejpam-3711	110	61	f	f	PROPN
ejpam-3711	110	62	under	under	ADP
ejpam-3711	110	63	the	the	DET
ejpam-3711	110	64	fractional	fractional	ADJ
ejpam-3711	110	65	-	-	PUNCT
ejpam-3711	110	66	order	order	NOUN
ejpam-3711	110	67	difference	difference	NOUN
ejpam-3711	110	68	operator	operator	NOUN
ejpam-3711	110	69	∆α	∆α	PROPN
ejpam-3711	110	70	,	,	PUNCT
ejpam-3711	110	71	β	β	X
ejpam-3711	110	72	,	,	PUNCT
ejpam-3711	110	73	γ	γ	PROPN
ejpam-3711	110	74	h	h	PROPN
ejpam-3711	110	75	,	,	PUNCT
ejpam-3711	110	76	x	x	PRON
ejpam-3711	110	77	,	,	PUNCT
ejpam-3711	110	78	denoted	denote	VERB
ejpam-3711	110	79	by	by	ADP
ejpam-3711	110	80	fm	fm	PROPN
ejpam-3711	110	81	−→	−→	PROPN
ejpam-3711	110	82	f	f	PROPN
ejpam-3711	110	83	(	(	PUNCT
ejpam-3711	110	84	rw	rw	PROPN
ejpam-3711	110	85	-stpw(∆α	-stpw(∆α	PROPN
ejpam-3711	110	86	,	,	PUNCT
ejpam-3711	110	87	β	β	PROPN
ejpam-3711	110	88	,	,	PUNCT
ejpam-3711	110	89	γ	γ	PROPN
ejpam-3711	110	90	h	h	PROPN
ejpam-3711	110	91	,	,	PUNCT
ejpam-3711	110	92	x	x	NOUN
ejpam-3711	110	93	)	)	PUNCT
ejpam-3711	110	94	)	)	PUNCT
ejpam-3711	110	95	or	or	CCONJ
ejpam-3711	110	96	strwpw(∆α	strwpw(∆α	PROPN
ejpam-3711	110	97	,	,	PUNCT
ejpam-3711	110	98	β	β	X
ejpam-3711	110	99	,	,	PUNCT
ejpam-3711	110	100	γ	γ	PROPN
ejpam-3711	110	101	h	h	PROPN
ejpam-3711	110	102	,	,	PUNCT
ejpam-3711	110	103	x	x	X
ejpam-3711	110	104	)	)	PUNCT
ejpam-3711	110	105	lim	lim	PROPN
ejpam-3711	110	106	fm	fm	PROPN
ejpam-3711	111	1	=	=	PROPN
ejpam-3711	111	2	f	f	PROPN
ejpam-3711	111	3	(	(	PUNCT
ejpam-3711	111	4	e;σ	e;σ	NUM
ejpam-3711	111	5	)	)	PUNCT
ejpam-3711	111	6	,	,	PUNCT
ejpam-3711	111	7	if	if	SCONJ
ejpam-3711	111	8	there	there	PRON
ejpam-3711	111	9	is	be	VERB
ejpam-3711	111	10	a	a	DET
ejpam-3711	111	11	non	non	ADJ
ejpam-3711	111	12	-	-	ADJ
ejpam-3711	111	13	zero	zero	NUM
ejpam-3711	111	14	scale	scale	NOUN
ejpam-3711	111	15	function	function	NOUN
ejpam-3711	111	16	σ(x	σ(x	NOUN
ejpam-3711	111	17	)	)	PUNCT
ejpam-3711	111	18	on	on	ADP
ejpam-3711	111	19	e	e	ADP
ejpam-3711	111	20	such	such	ADJ
ejpam-3711	111	21	that	that	SCONJ
ejpam-3711	111	22	,	,	PUNCT
ejpam-3711	111	23	for	for	ADP
ejpam-3711	111	24	each	each	DET
ejpam-3711	111	25	ε	ε	PROPN
ejpam-3711	111	26	>	>	X
ejpam-3711	111	27	0	0	PUNCT
ejpam-3711	111	28	and	and	CCONJ
ejpam-3711	111	29	for	for	ADP
ejpam-3711	111	30	every	every	DET
ejpam-3711	111	31	x	x	SYM
ejpam-3711	111	32	∈	∈	PROPN
ejpam-3711	111	33	e	e	NOUN
ejpam-3711	111	34	,	,	PUNCT
ejpam-3711	111	35	lim	lim	PROPN
ejpam-3711	111	36	n→∞	n→∞	NOUN
ejpam-3711	111	37	1	1	NUM
ejpam-3711	111	38	rbnan+1	rbnan+1	NOUN
ejpam-3711	111	39	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-3711	111	40	m	m	PROPN
ejpam-3711	111	41	:	:	PUNCT
ejpam-3711	111	42	m	m	VERB
ejpam-3711	111	43	5	5	NUM
ejpam-3711	111	44	rbnan+1	rbnan+1	NOUN
ejpam-3711	111	45	and	and	CCONJ
ejpam-3711	111	46	sbn−mtm	sbn−mtm	ADJ
ejpam-3711	111	47	d	d	NOUN
ejpam-3711	111	48	(	(	PUNCT
ejpam-3711	111	49	∆α	∆α	PROPN
ejpam-3711	111	50	,	,	PUNCT
ejpam-3711	111	51	β	β	X
ejpam-3711	111	52	,	,	PUNCT
ejpam-3711	111	53	γ	γ	PROPN
ejpam-3711	111	54	h	h	PROPN
ejpam-3711	111	55	,	,	PUNCT
ejpam-3711	111	56	x	x	X
ejpam-3711	111	57	fm(x	fm(x	NUM
ejpam-3711	111	58	)	)	PUNCT
ejpam-3711	111	59	,	,	PUNCT
ejpam-3711	111	60	f(x	f(x	PROPN
ejpam-3711	111	61	)	)	PUNCT
ejpam-3711	111	62	)	)	PUNCT
ejpam-3711	112	1	|σ(x)|	|σ(x)|	PROPN
ejpam-3711	112	2	=	=	SYM
ejpam-3711	112	3	ε	ε	PROPN
ejpam-3711	112	4			NOUN
ejpam-3711	112	5	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-3711	112	6	=	=	SYM
ejpam-3711	112	7	0	0	PROPN
ejpam-3711	112	8	.	.	PUNCT
ejpam-3711	112	9	(	(	PUNCT
ejpam-3711	112	10	d2	d2	PROPN
ejpam-3711	112	11	)	)	PUNCT
ejpam-3711	112	12	relatively	relatively	ADV
ejpam-3711	112	13	weighted	weight	VERB
ejpam-3711	112	14	equi	equi	NOUN
ejpam-3711	112	15	-	-	PUNCT
ejpam-3711	112	16	statistically	statistically	ADV
ejpam-3711	112	17	convergent	convergent	NOUN
ejpam-3711	112	18	to	to	ADP
ejpam-3711	112	19	the	the	DET
ejpam-3711	112	20	limit	limit	NOUN
ejpam-3711	112	21	of	of	ADP
ejpam-3711	112	22	fnvf	fnvf	NOUN
ejpam-3711	112	23	f	f	PROPN
ejpam-3711	112	24	under	under	ADP
ejpam-3711	112	25	the	the	DET
ejpam-3711	112	26	fractional	fractional	ADJ
ejpam-3711	112	27	-	-	PUNCT
ejpam-3711	112	28	order	order	NOUN
ejpam-3711	112	29	difference	difference	NOUN
ejpam-3711	112	30	operator	operator	NOUN
ejpam-3711	112	31	∆α	∆α	PROPN
ejpam-3711	112	32	,	,	PUNCT
ejpam-3711	112	33	β	β	X
ejpam-3711	112	34	,	,	PUNCT
ejpam-3711	112	35	γ	γ	PROPN
ejpam-3711	112	36	h	h	PROPN
ejpam-3711	112	37	,	,	PUNCT
ejpam-3711	112	38	x	x	X
ejpam-3711	112	39	;	;	PUNCT
ejpam-3711	112	40	here	here	ADV
ejpam-3711	112	41	,	,	PUNCT
ejpam-3711	112	42	we	we	PRON
ejpam-3711	112	43	write	write	VERB
ejpam-3711	112	44	fm	fm	PROPN
ejpam-3711	112	45	−→	−→	PROPN
ejpam-3711	112	46	f	f	PROPN
ejpam-3711	112	47	(	(	PUNCT
ejpam-3711	112	48	rw	rw	PROPN
ejpam-3711	112	49	-stequi(∆	-stequi(∆	PROPN
ejpam-3711	112	50	α	α	PROPN
ejpam-3711	112	51	,	,	PUNCT
ejpam-3711	112	52	β	β	X
ejpam-3711	112	53	,	,	PUNCT
ejpam-3711	112	54	γ	γ	PROPN
ejpam-3711	112	55	h	h	PROPN
ejpam-3711	112	56	,	,	PUNCT
ejpam-3711	112	57	x	x	NOUN
ejpam-3711	112	58	)	)	PUNCT
ejpam-3711	112	59	)	)	PUNCT
ejpam-3711	112	60	or	or	CCONJ
ejpam-3711	112	61	strwequi(∆	strwequi(∆	NUM
ejpam-3711	112	62	α	α	NOUN
ejpam-3711	112	63	,	,	PUNCT
ejpam-3711	112	64	β	β	X
ejpam-3711	112	65	,	,	PUNCT
ejpam-3711	112	66	γ	γ	PROPN
ejpam-3711	112	67	h	h	PROPN
ejpam-3711	112	68	,	,	PUNCT
ejpam-3711	112	69	x	x	X
ejpam-3711	112	70	)	)	PUNCT
ejpam-3711	113	1	lim	lim	PROPN
ejpam-3711	113	2	fm	fm	PROPN
ejpam-3711	113	3	=	=	PROPN
ejpam-3711	113	4	f	f	PROPN
ejpam-3711	113	5	(	(	PUNCT
ejpam-3711	113	6	e;σ	e;σ	NUM
ejpam-3711	113	7	)	)	PUNCT
ejpam-3711	113	8	,	,	PUNCT
ejpam-3711	113	9	s.	s.	PROPN
ejpam-3711	113	10	k.	k.	PROPN
ejpam-3711	113	11	paikray	paikray	PROPN
ejpam-3711	113	12	,	,	PUNCT
ejpam-3711	113	13	p.	p.	PROPN
ejpam-3711	113	14	parida	parida	PROPN
ejpam-3711	113	15	,	,	PUNCT
ejpam-3711	113	16	s.	s.	PROPN
ejpam-3711	113	17	a.	a.	PROPN
ejpam-3711	113	18	mohiuddine	mohiuddine	PROPN
ejpam-3711	113	19	/	/	SYM
ejpam-3711	113	20	eur	eur	PROPN
ejpam-3711	113	21	.	.	PUNCT
ejpam-3711	114	1	j.	j.	PROPN
ejpam-3711	114	2	pure	pure	PROPN
ejpam-3711	114	3	appl	appl	PROPN
ejpam-3711	114	4	.	.	PROPN
ejpam-3711	114	5	math	math	PROPN
ejpam-3711	114	6	,	,	PUNCT
ejpam-3711	114	7	13	13	NUM
ejpam-3711	114	8	(	(	PUNCT
ejpam-3711	114	9	5	5	NUM
ejpam-3711	114	10	)	)	PUNCT
ejpam-3711	114	11	(	(	PUNCT
ejpam-3711	114	12	2020	2020	NUM
ejpam-3711	114	13	)	)	PUNCT
ejpam-3711	114	14	,	,	PUNCT
ejpam-3711	114	15	1212	1212	NUM
ejpam-3711	114	16	-	-	SYM
ejpam-3711	114	17	1230	1230	NUM
ejpam-3711	114	18	1218	1218	NUM
ejpam-3711	114	19	if	if	SCONJ
ejpam-3711	114	20	there	there	PRON
ejpam-3711	114	21	exists	exist	VERB
ejpam-3711	114	22	σ(x	σ(x	NOUN
ejpam-3711	114	23	)	)	PUNCT
ejpam-3711	114	24	(	(	PUNCT
ejpam-3711	114	25	σ(x	σ(x	PROPN
ejpam-3711	114	26	)	)	PUNCT
ejpam-3711	114	27	>	>	X
ejpam-3711	114	28	0	0	NUM
ejpam-3711	114	29	)	)	PUNCT
ejpam-3711	114	30	on	on	ADP
ejpam-3711	114	31	e	e	ADP
ejpam-3711	114	32	such	such	ADJ
ejpam-3711	114	33	that	that	SCONJ
ejpam-3711	114	34	,	,	PUNCT
ejpam-3711	114	35	for	for	ADP
ejpam-3711	114	36	every	every	DET
ejpam-3711	114	37	ε	ε	PROPN
ejpam-3711	114	38	>	>	X
ejpam-3711	114	39	0	0	PUNCT
ejpam-3711	114	40	and	and	CCONJ
ejpam-3711	114	41	for	for	ADP
ejpam-3711	114	42	every	every	DET
ejpam-3711	114	43	x	x	SYM
ejpam-3711	114	44	∈	∈	PROPN
ejpam-3711	114	45	e	e	NOUN
ejpam-3711	114	46	,	,	PUNCT
ejpam-3711	114	47	lim	lim	PROPN
ejpam-3711	114	48	n→∞	n→∞	NUM
ejpam-3711	114	49	ωm(x	ωm(x	NUM
ejpam-3711	114	50	;	;	PUNCT
ejpam-3711	114	51	εσ	εσ	NOUN
ejpam-3711	114	52	)	)	PUNCT
ejpam-3711	114	53	rbnan+1	rbnan+1	NOUN
ejpam-3711	114	54	=	=	SYM
ejpam-3711	114	55	0	0	NUM
ejpam-3711	114	56	,	,	PUNCT
ejpam-3711	114	57	relatively	relatively	ADV
ejpam-3711	114	58	uniformly	uniformly	ADV
ejpam-3711	114	59	with	with	ADP
ejpam-3711	114	60	regards	regard	NOUN
ejpam-3711	114	61	to	to	ADP
ejpam-3711	114	62	x	x	SYM
ejpam-3711	114	63	∈	∈	PROPN
ejpam-3711	114	64	e	e	NOUN
ejpam-3711	114	65	,	,	PUNCT
ejpam-3711	114	66	that	that	ADV
ejpam-3711	114	67	is	is	ADV
ejpam-3711	114	68	,	,	PUNCT
ejpam-3711	114	69	lim	lim	PROPN
ejpam-3711	114	70	n→∞	n→∞	NUM
ejpam-3711	114	71	‖ωm(x	‖ωm(x	NUM
ejpam-3711	114	72	;	;	PUNCT
ejpam-3711	114	73	εσ)‖cf	εσ)‖cf	PROPN
ejpam-3711	114	74	(	(	PUNCT
ejpam-3711	114	75	e	e	NOUN
ejpam-3711	114	76	)	)	PUNCT
ejpam-3711	114	77	rbnan+1	rbnan+1	NOUN
ejpam-3711	114	78	=	=	SYM
ejpam-3711	114	79	0	0	NUM
ejpam-3711	114	80	,	,	PUNCT
ejpam-3711	114	81	where	where	SCONJ
ejpam-3711	114	82	ωm(x	ωm(x	NUM
ejpam-3711	114	83	;	;	PUNCT
ejpam-3711	114	84	εσ	εσ	X
ejpam-3711	114	85	)	)	PUNCT
ejpam-3711	114	86	=	=	SYM
ejpam-3711	115	1	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-3711	115	2	m	m	PROPN
ejpam-3711	115	3	:	:	PUNCT
ejpam-3711	116	1	m	m	VERB
ejpam-3711	116	2	5	5	NUM
ejpam-3711	116	3	rbnan+1	rbnan+1	NOUN
ejpam-3711	116	4	and	and	CCONJ
ejpam-3711	116	5	sup	sup	NOUN
ejpam-3711	116	6	x∈e	x∈e	NOUN
ejpam-3711	116	7	sbn−mtm	sbn−mtm	PROPN
ejpam-3711	116	8	d	d	PROPN
ejpam-3711	116	9	(	(	PUNCT
ejpam-3711	116	10	∆α	∆α	PROPN
ejpam-3711	116	11	,	,	PUNCT
ejpam-3711	116	12	β	β	X
ejpam-3711	116	13	,	,	PUNCT
ejpam-3711	116	14	γ	γ	PROPN
ejpam-3711	116	15	h	h	PROPN
ejpam-3711	116	16	,	,	PUNCT
ejpam-3711	116	17	x	x	X
ejpam-3711	116	18	fm(x	fm(x	NUM
ejpam-3711	116	19	)	)	PUNCT
ejpam-3711	116	20	,	,	PUNCT
ejpam-3711	116	21	f(x	f(x	PROPN
ejpam-3711	116	22	)	)	PUNCT
ejpam-3711	116	23	)	)	PUNCT
ejpam-3711	117	1	|σ(x)|	|σ(x)|	PROPN
ejpam-3711	117	2	=	=	SYM
ejpam-3711	117	3	ε	ε	PROPN
ejpam-3711	117	4			PROPN
ejpam-3711	117	5	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-3711	117	6	.	.	PUNCT
ejpam-3711	118	1	(	(	PUNCT
ejpam-3711	118	2	d3	d3	PROPN
ejpam-3711	118	3	)	)	PUNCT
ejpam-3711	118	4	relatively	relatively	ADV
ejpam-3711	118	5	weighted	weight	VERB
ejpam-3711	118	6	uniformly	uniformly	ADV
ejpam-3711	118	7	statistically	statistically	ADV
ejpam-3711	118	8	convergent	convergent	ADJ
ejpam-3711	118	9	to	to	ADP
ejpam-3711	118	10	the	the	DET
ejpam-3711	118	11	limit	limit	NOUN
ejpam-3711	118	12	of	of	ADP
ejpam-3711	118	13	fnvf	fnvf	NOUN
ejpam-3711	118	14	f	f	PROPN
ejpam-3711	118	15	under	under	ADP
ejpam-3711	118	16	the	the	DET
ejpam-3711	118	17	fractional	fractional	ADJ
ejpam-3711	118	18	-	-	PUNCT
ejpam-3711	118	19	order	order	NOUN
ejpam-3711	118	20	difference	difference	NOUN
ejpam-3711	118	21	operator	operator	NOUN
ejpam-3711	118	22	∆α	∆α	PROPN
ejpam-3711	118	23	,	,	PUNCT
ejpam-3711	118	24	β	β	X
ejpam-3711	118	25	,	,	PUNCT
ejpam-3711	118	26	γ	γ	PROPN
ejpam-3711	118	27	h	h	PROPN
ejpam-3711	118	28	,	,	PUNCT
ejpam-3711	118	29	x	x	X
ejpam-3711	118	30	;	;	PUNCT
ejpam-3711	118	31	here	here	ADV
ejpam-3711	118	32	,	,	PUNCT
ejpam-3711	118	33	we	we	PRON
ejpam-3711	118	34	write	write	VERB
ejpam-3711	118	35	fm	fm	PROPN
ejpam-3711	118	36	−→	−→	PROPN
ejpam-3711	118	37	f	f	PROPN
ejpam-3711	118	38	(	(	PUNCT
ejpam-3711	118	39	rw	rw	NOUN
ejpam-3711	118	40	-stuf	-stuf	NOUN
ejpam-3711	118	41	(	(	PUNCT
ejpam-3711	118	42	∆α	∆α	PROPN
ejpam-3711	118	43	,	,	PUNCT
ejpam-3711	118	44	β	β	X
ejpam-3711	118	45	,	,	PUNCT
ejpam-3711	118	46	γ	γ	PROPN
ejpam-3711	118	47	h	h	PROPN
ejpam-3711	118	48	,	,	PUNCT
ejpam-3711	118	49	x	x	NOUN
ejpam-3711	118	50	)	)	PUNCT
ejpam-3711	118	51	)	)	PUNCT
ejpam-3711	118	52	or	or	CCONJ
ejpam-3711	118	53	strwuf	strwuf	NOUN
ejpam-3711	118	54	(	(	PUNCT
ejpam-3711	118	55	∆α	∆α	PROPN
ejpam-3711	118	56	,	,	PUNCT
ejpam-3711	118	57	β	β	X
ejpam-3711	118	58	,	,	PUNCT
ejpam-3711	118	59	γ	γ	PROPN
ejpam-3711	118	60	h	h	PROPN
ejpam-3711	118	61	,	,	PUNCT
ejpam-3711	118	62	x	x	X
ejpam-3711	118	63	)	)	PUNCT
ejpam-3711	119	1	lim	lim	PROPN
ejpam-3711	119	2	fm	fm	PROPN
ejpam-3711	119	3	=	=	PROPN
ejpam-3711	119	4	f	f	PROPN
ejpam-3711	119	5	(	(	PUNCT
ejpam-3711	119	6	e;σ	e;σ	NUM
ejpam-3711	119	7	)	)	PUNCT
ejpam-3711	119	8	,	,	PUNCT
ejpam-3711	119	9	if	if	SCONJ
ejpam-3711	119	10	there	there	PRON
ejpam-3711	119	11	is	be	VERB
ejpam-3711	119	12	a	a	DET
ejpam-3711	119	13	scale	scale	NOUN
ejpam-3711	119	14	function	function	NOUN
ejpam-3711	119	15	σ(x	σ(x	PROPN
ejpam-3711	119	16	)	)	PUNCT
ejpam-3711	119	17	(	(	PUNCT
ejpam-3711	119	18	σ(x	σ(x	PROPN
ejpam-3711	119	19	)	)	PUNCT
ejpam-3711	119	20	>	>	X
ejpam-3711	119	21	0	0	NUM
ejpam-3711	119	22	)	)	PUNCT
ejpam-3711	119	23	on	on	ADP
ejpam-3711	119	24	e	e	ADP
ejpam-3711	119	25	such	such	ADJ
ejpam-3711	119	26	that	that	SCONJ
ejpam-3711	119	27	,	,	PUNCT
ejpam-3711	119	28	for	for	ADP
ejpam-3711	119	29	each	each	DET
ejpam-3711	119	30	ε	ε	PROPN
ejpam-3711	119	31	>	>	X
ejpam-3711	119	32	0	0	PROPN
ejpam-3711	119	33	,	,	PUNCT
ejpam-3711	119	34	lim	lim	PROPN
ejpam-3711	119	35	n→∞	n→∞	NOUN
ejpam-3711	119	36	1	1	NUM
ejpam-3711	119	37	rbnan+1	rbnan+1	NOUN
ejpam-3711	119	38	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-3711	119	39	m	m	PROPN
ejpam-3711	119	40	:	:	PUNCT
ejpam-3711	119	41	m	m	VERB
ejpam-3711	119	42	5	5	NUM
ejpam-3711	119	43	rbnan+1	rbnan+1	NOUN
ejpam-3711	119	44	and	and	CCONJ
ejpam-3711	119	45	sup	sup	NOUN
ejpam-3711	119	46	x∈e	x∈e	NOUN
ejpam-3711	119	47	sbn−mtm	sbn−mtm	PROPN
ejpam-3711	119	48	d	d	PROPN
ejpam-3711	119	49	(	(	PUNCT
ejpam-3711	119	50	∆α	∆α	PROPN
ejpam-3711	119	51	,	,	PUNCT
ejpam-3711	119	52	β	β	X
ejpam-3711	119	53	,	,	PUNCT
ejpam-3711	119	54	γ	γ	PROPN
ejpam-3711	119	55	h	h	PROPN
ejpam-3711	119	56	,	,	PUNCT
ejpam-3711	119	57	x	x	X
ejpam-3711	119	58	fm(x	fm(x	NUM
ejpam-3711	119	59	)	)	PUNCT
ejpam-3711	119	60	,	,	PUNCT
ejpam-3711	119	61	f(x	f(x	PROPN
ejpam-3711	119	62	)	)	PUNCT
ejpam-3711	119	63	)	)	PUNCT
ejpam-3711	120	1	|σ(x)|	|σ(x)|	PROPN
ejpam-3711	120	2	=	=	SYM
ejpam-3711	120	3	ε	ε	PROPN
ejpam-3711	120	4			NOUN
ejpam-3711	120	5	∣∣∣∣∣∣	∣∣∣∣∣∣	ADP
ejpam-3711	120	6	=	=	SYM
ejpam-3711	120	7	0	0	X
ejpam-3711	120	8	.	.	PUNCT
ejpam-3711	121	1	as	as	ADP
ejpam-3711	121	2	a	a	DET
ejpam-3711	121	3	consequence	consequence	NOUN
ejpam-3711	121	4	of	of	ADP
ejpam-3711	121	5	the	the	DET
ejpam-3711	121	6	above	above	ADJ
ejpam-3711	121	7	definitions	definition	NOUN
ejpam-3711	121	8	,	,	PUNCT
ejpam-3711	121	9	we	we	PRON
ejpam-3711	121	10	present	present	VERB
ejpam-3711	121	11	the	the	DET
ejpam-3711	121	12	following	follow	VERB
ejpam-3711	121	13	inclusion	inclusion	NOUN
ejpam-3711	121	14	relations	relation	NOUN
ejpam-3711	121	15	in	in	ADP
ejpam-3711	121	16	the	the	DET
ejpam-3711	121	17	similar	similar	ADJ
ejpam-3711	121	18	lines	line	NOUN
ejpam-3711	121	19	of	of	ADP
ejpam-3711	121	20	our	our	PRON
ejpam-3711	121	21	earlier	early	ADJ
ejpam-3711	121	22	work	work	NOUN
ejpam-3711	121	23	(	(	PUNCT
ejpam-3711	121	24	see	see	VERB
ejpam-3711	121	25	[	[	X
ejpam-3711	121	26	39	39	NUM
ejpam-3711	121	27	]	]	NUM
ejpam-3711	121	28	)	)	PUNCT
ejpam-3711	121	29	.	.	PUNCT
ejpam-3711	122	1	lemma	lemma	PROPN
ejpam-3711	122	2	1	1	NUM
ejpam-3711	122	3	.	.	PUNCT
ejpam-3711	123	1	the	the	DET
ejpam-3711	123	2	implications	implication	NOUN
ejpam-3711	123	3	,	,	PUNCT
ejpam-3711	123	4	fm	fm	PROPN
ejpam-3711	123	5	−→	−→	NOUN
ejpam-3711	123	6	f(rw	f(rw	PROPN
ejpam-3711	123	7	-stuf	-stuf	NOUN
ejpam-3711	123	8	(	(	PUNCT
ejpam-3711	123	9	∆α	∆α	PROPN
ejpam-3711	123	10	,	,	PUNCT
ejpam-3711	123	11	β	β	X
ejpam-3711	123	12	,	,	PUNCT
ejpam-3711	123	13	γ	γ	PROPN
ejpam-3711	123	14	h	h	PROPN
ejpam-3711	123	15	,	,	PUNCT
ejpam-3711	123	16	x	x	NOUN
ejpam-3711	123	17	)	)	PUNCT
ejpam-3711	123	18	)	)	PUNCT
ejpam-3711	124	1	=	=	NOUN
ejpam-3711	124	2	⇒	⇒	NOUN
ejpam-3711	124	3	fm	fm	PROPN
ejpam-3711	124	4	−→	−→	PROPN
ejpam-3711	124	5	f(rw	f(rw	PROPN
ejpam-3711	124	6	-stequi(∆	-stequi(∆	NOUN
ejpam-3711	124	7	α	α	PROPN
ejpam-3711	124	8	,	,	PUNCT
ejpam-3711	124	9	β	β	X
ejpam-3711	124	10	,	,	PUNCT
ejpam-3711	124	11	γ	γ	PROPN
ejpam-3711	124	12	h	h	PROPN
ejpam-3711	124	13	,	,	PUNCT
ejpam-3711	124	14	x	x	NOUN
ejpam-3711	124	15	)	)	PUNCT
ejpam-3711	124	16	)	)	PUNCT
ejpam-3711	125	1	=	=	NOUN
ejpam-3711	125	2	⇒	⇒	NOUN
ejpam-3711	125	3	fm	fm	PROPN
ejpam-3711	125	4	−→	−→	PROPN
ejpam-3711	125	5	f(rw	f(rw	PROPN
ejpam-3711	125	6	-stpw(∆α	-stpw(∆α	PROPN
ejpam-3711	125	7	,	,	PUNCT
ejpam-3711	125	8	β	β	X
ejpam-3711	125	9	,	,	PUNCT
ejpam-3711	125	10	γ	γ	PROPN
ejpam-3711	125	11	h	h	PROPN
ejpam-3711	125	12	,	,	PUNCT
ejpam-3711	125	13	x	x	NOUN
ejpam-3711	125	14	)	)	PUNCT
ejpam-3711	125	15	)	)	PUNCT
ejpam-3711	125	16	(	(	PUNCT
ejpam-3711	125	17	4	4	X
ejpam-3711	125	18	)	)	PUNCT
ejpam-3711	125	19	are	be	AUX
ejpam-3711	125	20	fairly	fairly	ADV
ejpam-3711	125	21	true	true	ADJ
ejpam-3711	125	22	.	.	PUNCT
ejpam-3711	126	1	moreover	moreover	ADV
ejpam-3711	126	2	,	,	PUNCT
ejpam-3711	126	3	reverse	reverse	NOUN
ejpam-3711	126	4	of	of	ADP
ejpam-3711	126	5	the	the	DET
ejpam-3711	126	6	implications	implication	NOUN
ejpam-3711	126	7	of	of	ADP
ejpam-3711	126	8	(	(	PUNCT
ejpam-3711	126	9	4	4	X
ejpam-3711	126	10	)	)	PUNCT
ejpam-3711	126	11	are	be	AUX
ejpam-3711	126	12	not	not	PART
ejpam-3711	126	13	necessarily	necessarily	ADV
ejpam-3711	126	14	true	true	ADJ
ejpam-3711	126	15	,	,	PUNCT
ejpam-3711	126	16	that	that	ADV
ejpam-3711	126	17	is	is	ADV
ejpam-3711	126	18	,	,	PUNCT
ejpam-3711	126	19	the	the	DET
ejpam-3711	126	20	above	above	ADJ
ejpam-3711	126	21	inclusions	inclusion	NOUN
ejpam-3711	126	22	are	be	AUX
ejpam-3711	126	23	strict	strict	ADJ
ejpam-3711	126	24	.	.	PUNCT
ejpam-3711	127	1	4	4	X
ejpam-3711	127	2	.	.	X
ejpam-3711	127	3	a	a	DET
ejpam-3711	127	4	fuzzy	fuzzy	ADJ
ejpam-3711	127	5	korovkin	korovkin	NOUN
ejpam-3711	127	6	-	-	PUNCT
ejpam-3711	127	7	type	type	NOUN
ejpam-3711	127	8	approximation	approximation	NOUN
ejpam-3711	127	9	theorem	theorem	NOUN
ejpam-3711	127	10	based	base	VERB
ejpam-3711	127	11	upon	upon	SCONJ
ejpam-3711	127	12	the	the	DET
ejpam-3711	127	13	proposed	propose	VERB
ejpam-3711	127	14	methods	method	NOUN
ejpam-3711	127	15	,	,	PUNCT
ejpam-3711	127	16	in	in	ADP
ejpam-3711	127	17	the	the	DET
ejpam-3711	127	18	present	present	ADJ
ejpam-3711	127	19	section	section	NOUN
ejpam-3711	127	20	we	we	PRON
ejpam-3711	127	21	wish	wish	VERB
ejpam-3711	127	22	to	to	PART
ejpam-3711	127	23	investigate	investigate	VERB
ejpam-3711	127	24	a	a	DET
ejpam-3711	127	25	fuzzy	fuzzy	ADJ
ejpam-3711	127	26	approximation	approximation	NOUN
ejpam-3711	127	27	theorem	theorem	NOUN
ejpam-3711	127	28	(	(	PUNCT
ejpam-3711	127	29	korovkin	korovkin	NOUN
ejpam-3711	127	30	-	-	PUNCT
ejpam-3711	127	31	type	type	NOUN
ejpam-3711	127	32	)	)	PUNCT
ejpam-3711	127	33	via	via	ADP
ejpam-3711	127	34	relatively	relatively	ADV
ejpam-3711	127	35	deferred	defer	VERB
ejpam-3711	127	36	nörlund	nörlund	NOUN
ejpam-3711	127	37	equi	equi	NOUN
ejpam-3711	127	38	-	-	PUNCT
ejpam-3711	127	39	statistical	statistical	ADJ
ejpam-3711	127	40	convergence	convergence	NOUN
ejpam-3711	127	41	.	.	PUNCT
ejpam-3711	128	1	s.	s.	PROPN
ejpam-3711	128	2	k.	k.	PROPN
ejpam-3711	128	3	paikray	paikray	PROPN
ejpam-3711	128	4	,	,	PUNCT
ejpam-3711	128	5	p.	p.	PROPN
ejpam-3711	128	6	parida	parida	PROPN
ejpam-3711	128	7	,	,	PUNCT
ejpam-3711	128	8	s.	s.	PROPN
ejpam-3711	128	9	a.	a.	PROPN
ejpam-3711	128	10	mohiuddine	mohiuddine	PROPN
ejpam-3711	128	11	/	/	SYM
ejpam-3711	128	12	eur	eur	PROPN
ejpam-3711	128	13	.	.	PUNCT
ejpam-3711	129	1	j.	j.	PROPN
ejpam-3711	129	2	pure	pure	PROPN
ejpam-3711	129	3	appl	appl	PROPN
ejpam-3711	129	4	.	.	PROPN
ejpam-3711	129	5	math	math	PROPN
ejpam-3711	129	6	,	,	PUNCT
ejpam-3711	129	7	13	13	NUM
ejpam-3711	129	8	(	(	PUNCT
ejpam-3711	129	9	5	5	NUM
ejpam-3711	129	10	)	)	PUNCT
ejpam-3711	129	11	(	(	PUNCT
ejpam-3711	129	12	2020	2020	NUM
ejpam-3711	129	13	)	)	PUNCT
ejpam-3711	129	14	,	,	PUNCT
ejpam-3711	129	15	1212	1212	NUM
ejpam-3711	129	16	-	-	SYM
ejpam-3711	129	17	1230	1230	NUM
ejpam-3711	129	18	1219	1219	NUM
ejpam-3711	129	19	let	let	VERB
ejpam-3711	129	20	f	f	PRON
ejpam-3711	129	21	be	be	AUX
ejpam-3711	129	22	a	a	DET
ejpam-3711	129	23	fuzzy	fuzzy	ADJ
ejpam-3711	129	24	number	number	NOUN
ejpam-3711	129	25	valued	value	VERB
ejpam-3711	129	26	function	function	NOUN
ejpam-3711	129	27	,	,	PUNCT
ejpam-3711	129	28	and	and	CCONJ
ejpam-3711	129	29	suppose	suppose	VERB
ejpam-3711	129	30	that	that	SCONJ
ejpam-3711	129	31	f	f	X
ejpam-3711	129	32	:	:	PUNCT
ejpam-3711	130	1	[	[	X
ejpam-3711	130	2	a	a	X
ejpam-3711	130	3	,	,	PUNCT
ejpam-3711	130	4	b	b	NOUN
ejpam-3711	130	5	]	]	X
ejpam-3711	130	6	→	→	PUNCT
ejpam-3711	130	7	rf	rf	X
ejpam-3711	130	8	.	.	PUNCT
ejpam-3711	131	1	recall	recall	VERB
ejpam-3711	131	2	that	that	PRON
ejpam-3711	131	3	,	,	PUNCT
ejpam-3711	131	4	f	f	PROPN
ejpam-3711	131	5	is	be	AUX
ejpam-3711	131	6	fuzzy	fuzzy	ADJ
ejpam-3711	131	7	continuous	continuous	ADJ
ejpam-3711	131	8	at	at	ADP
ejpam-3711	131	9	a	a	DET
ejpam-3711	131	10	point	point	NOUN
ejpam-3711	131	11	x0	x0	PROPN
ejpam-3711	131	12	∈	∈	PROPN
ejpam-3711	132	1	[	[	X
ejpam-3711	132	2	a	a	X
ejpam-3711	132	3	,	,	PUNCT
ejpam-3711	132	4	b	b	NOUN
ejpam-3711	132	5	]	]	X
ejpam-3711	132	6	,	,	PUNCT
ejpam-3711	132	7	if	if	SCONJ
ejpam-3711	132	8	d(xn	d(xn	PROPN
ejpam-3711	132	9	,	,	PUNCT
ejpam-3711	132	10	x0	x0	PROPN
ejpam-3711	132	11	)	)	PUNCT
ejpam-3711	132	12	<	<	X
ejpam-3711	132	13	ε	ε	PROPN
ejpam-3711	132	14	(	(	PUNCT
ejpam-3711	132	15	n→∞	n→∞	NUM
ejpam-3711	132	16	)	)	PUNCT
ejpam-3711	132	17	whenever	whenever	SCONJ
ejpam-3711	132	18	xn	xn	PROPN
ejpam-3711	132	19	→	→	SYM
ejpam-3711	132	20	x0	x0	PROPN
ejpam-3711	132	21	.	.	PUNCT
ejpam-3711	133	1	furthermore	furthermore	ADV
ejpam-3711	133	2	,	,	PUNCT
ejpam-3711	133	3	if	if	SCONJ
ejpam-3711	133	4	f	f	PROPN
ejpam-3711	133	5	is	be	AUX
ejpam-3711	133	6	fuzzy	fuzzy	ADJ
ejpam-3711	133	7	continuous	continuous	ADJ
ejpam-3711	133	8	at	at	ADP
ejpam-3711	133	9	each	each	DET
ejpam-3711	133	10	point	point	NOUN
ejpam-3711	133	11	x	x	X
ejpam-3711	133	12	∈	∈	PROPN
ejpam-3711	133	13	[	[	X
ejpam-3711	133	14	a	a	X
ejpam-3711	133	15	,	,	PUNCT
ejpam-3711	133	16	b	b	NOUN
ejpam-3711	133	17	]	]	X
ejpam-3711	133	18	,	,	PUNCT
ejpam-3711	133	19	then	then	ADV
ejpam-3711	133	20	it	it	PRON
ejpam-3711	133	21	is	be	AUX
ejpam-3711	133	22	also	also	ADV
ejpam-3711	133	23	fuzzy	fuzzy	ADJ
ejpam-3711	133	24	continuous	continuous	ADJ
ejpam-3711	133	25	in	in	ADP
ejpam-3711	133	26	the	the	DET
ejpam-3711	133	27	interval	interval	NOUN
ejpam-3711	133	28	[	[	X
ejpam-3711	133	29	a	a	X
ejpam-3711	133	30	,	,	PUNCT
ejpam-3711	133	31	b	b	NOUN
ejpam-3711	133	32	]	]	PUNCT
ejpam-3711	133	33	.	.	PUNCT
ejpam-3711	134	1	let	let	VERB
ejpam-3711	134	2	cf	cf	VERB
ejpam-3711	135	1	[	[	X
ejpam-3711	135	2	a	a	X
ejpam-3711	135	3	,	,	PUNCT
ejpam-3711	135	4	b	b	AUX
ejpam-3711	135	5	]	]	PUNCT
ejpam-3711	135	6	be	be	AUX
ejpam-3711	135	7	denoted	denote	VERB
ejpam-3711	135	8	as	as	ADP
ejpam-3711	135	9	the	the	DET
ejpam-3711	135	10	set	set	NOUN
ejpam-3711	135	11	of	of	ADP
ejpam-3711	135	12	all	all	DET
ejpam-3711	135	13	fuzzy	fuzzy	ADJ
ejpam-3711	135	14	functions	function	NOUN
ejpam-3711	135	15	(	(	PUNCT
ejpam-3711	135	16	continuous	continuous	ADJ
ejpam-3711	135	17	)	)	PUNCT
ejpam-3711	135	18	defined	define	VERB
ejpam-3711	135	19	in	in	ADP
ejpam-3711	135	20	the	the	DET
ejpam-3711	135	21	interval	interval	NOUN
ejpam-3711	135	22	[	[	X
ejpam-3711	135	23	a	a	X
ejpam-3711	135	24	,	,	PUNCT
ejpam-3711	135	25	b	b	NOUN
ejpam-3711	135	26	]	]	X
ejpam-3711	135	27	(	(	PUNCT
ejpam-3711	135	28	note	note	VERB
ejpam-3711	135	29	that	that	SCONJ
ejpam-3711	135	30	,	,	PUNCT
ejpam-3711	135	31	cf	cf	X
ejpam-3711	135	32	[	[	X
ejpam-3711	135	33	a	a	X
ejpam-3711	135	34	,	,	PUNCT
ejpam-3711	135	35	b	b	X
ejpam-3711	135	36	]	]	X
ejpam-3711	135	37	is	be	AUX
ejpam-3711	135	38	a	a	DET
ejpam-3711	135	39	scalar	scalar	ADJ
ejpam-3711	135	40	,	,	PUNCT
ejpam-3711	135	41	but	but	CCONJ
ejpam-3711	135	42	not	not	PART
ejpam-3711	135	43	usually	usually	ADV
ejpam-3711	135	44	a	a	DET
ejpam-3711	135	45	vector	vector	NOUN
ejpam-3711	135	46	space	space	NOUN
ejpam-3711	135	47	)	)	PUNCT
ejpam-3711	135	48	.	.	PUNCT
ejpam-3711	136	1	note	note	VERB
ejpam-3711	136	2	that	that	SCONJ
ejpam-3711	136	3	,	,	PUNCT
ejpam-3711	136	4	t	t	X
ejpam-3711	136	5	:	:	PUNCT
ejpam-3711	136	6	cf	cf	X
ejpam-3711	137	1	[	[	X
ejpam-3711	137	2	a	a	X
ejpam-3711	137	3	,	,	PUNCT
ejpam-3711	137	4	b	b	NOUN
ejpam-3711	137	5	]	]	X
ejpam-3711	137	6	→	→	PUNCT
ejpam-3711	137	7	cf	cf	X
ejpam-3711	137	8	[	[	X
ejpam-3711	137	9	a	a	X
ejpam-3711	137	10	,	,	PUNCT
ejpam-3711	137	11	b	b	NOUN
ejpam-3711	137	12	]	]	X
ejpam-3711	137	13	is	be	AUX
ejpam-3711	137	14	fuzzy	fuzzy	ADJ
ejpam-3711	137	15	linear	linear	ADJ
ejpam-3711	137	16	operator	operator	NOUN
ejpam-3711	137	17	,	,	PUNCT
ejpam-3711	137	18	if	if	SCONJ
ejpam-3711	137	19	for	for	ADP
ejpam-3711	137	20	each	each	DET
ejpam-3711	137	21	µ1	µ1	PROPN
ejpam-3711	137	22	,	,	PUNCT
ejpam-3711	137	23	µ2	µ2	PROPN
ejpam-3711	137	24	∈	∈	PROPN
ejpam-3711	137	25	r	r	NOUN
ejpam-3711	137	26	and	and	CCONJ
ejpam-3711	137	27	f1	f1	NOUN
ejpam-3711	137	28	,	,	PUNCT
ejpam-3711	137	29	f2	f2	PROPN
ejpam-3711	137	30	∈	∈	PROPN
ejpam-3711	137	31	cf	cf	NOUN
ejpam-3711	138	1	[	[	X
ejpam-3711	138	2	a	a	X
ejpam-3711	138	3	,	,	PUNCT
ejpam-3711	138	4	b	b	NOUN
ejpam-3711	138	5	]	]	X
ejpam-3711	138	6	,	,	PUNCT
ejpam-3711	138	7	t(µ1	t(µ1	PROPN
ejpam-3711	138	8	�	�	PROPN
ejpam-3711	138	9	f1	f1	PROPN
ejpam-3711	138	10	⊕	⊕	PROPN
ejpam-3711	138	11	µ2	µ2	PROPN
ejpam-3711	138	12	�	�	PROPN
ejpam-3711	138	13	f1;x	f1;x	PROPN
ejpam-3711	138	14	)	)	PUNCT
ejpam-3711	138	15	=	=	SYM
ejpam-3711	138	16	µ1	µ1	PROPN
ejpam-3711	138	17	�	�	PROPN
ejpam-3711	138	18	t(f1)⊕	t(f1)⊕	PROPN
ejpam-3711	138	19	µ2	µ2	PROPN
ejpam-3711	138	20	�	�	PROPN
ejpam-3711	138	21	t(f2	t(f2	NOUN
ejpam-3711	138	22	)	)	PUNCT
ejpam-3711	138	23	.	.	PUNCT
ejpam-3711	139	1	moreover	moreover	ADV
ejpam-3711	139	2	,	,	PUNCT
ejpam-3711	139	3	a	a	DET
ejpam-3711	139	4	fuzzy	fuzzy	ADJ
ejpam-3711	139	5	linear	linear	NOUN
ejpam-3711	139	6	operator	operator	NOUN
ejpam-3711	139	7	t	t	NOUN
ejpam-3711	139	8	is	be	AUX
ejpam-3711	139	9	a	a	DET
ejpam-3711	139	10	positive	positive	ADJ
ejpam-3711	139	11	fuzzy	fuzzy	ADJ
ejpam-3711	139	12	linear	linear	NOUN
ejpam-3711	139	13	operator	operator	NOUN
ejpam-3711	139	14	,	,	PUNCT
ejpam-3711	139	15	if	if	SCONJ
ejpam-3711	139	16	t(f1;x	t(f1;x	PRON
ejpam-3711	139	17	)	)	PUNCT
ejpam-3711	139	18	�	�	PROPN
ejpam-3711	139	19	t(f2;x	t(f2;x	NOUN
ejpam-3711	139	20	)	)	PUNCT
ejpam-3711	139	21	such	such	ADJ
ejpam-3711	139	22	that	that	DET
ejpam-3711	139	23	f1	f1	NOUN
ejpam-3711	139	24	,	,	PUNCT
ejpam-3711	139	25	f2	f2	PROPN
ejpam-3711	139	26	∈	∈	PROPN
ejpam-3711	139	27	cf	cf	NOUN
ejpam-3711	140	1	[	[	X
ejpam-3711	140	2	a	a	X
ejpam-3711	140	3	,	,	PUNCT
ejpam-3711	140	4	b	b	NOUN
ejpam-3711	140	5	]	]	PUNCT
ejpam-3711	140	6	and	and	CCONJ
ejpam-3711	140	7	for	for	ADP
ejpam-3711	140	8	all	all	DET
ejpam-3711	140	9	x	x	SYM
ejpam-3711	140	10	∈	∈	PROPN
ejpam-3711	140	11	[	[	X
ejpam-3711	140	12	a	a	X
ejpam-3711	140	13	,	,	PUNCT
ejpam-3711	140	14	b	b	NOUN
ejpam-3711	140	15	]	]	X
ejpam-3711	140	16	with	with	ADP
ejpam-3711	140	17	f1(x	f1(x	NOUN
ejpam-3711	140	18	)	)	PUNCT
ejpam-3711	140	19	�	�	NOUN
ejpam-3711	140	20	f2(x	f2(x	PROPN
ejpam-3711	140	21	)	)	PUNCT
ejpam-3711	140	22	.	.	PUNCT
ejpam-3711	141	1	in	in	ADP
ejpam-3711	141	2	the	the	DET
ejpam-3711	141	3	year	year	NOUN
ejpam-3711	141	4	2005	2005	NUM
ejpam-3711	141	5	,	,	PUNCT
ejpam-3711	141	6	anastassiou	anastassiou	ADJ
ejpam-3711	142	1	[	[	X
ejpam-3711	142	2	2	2	NUM
ejpam-3711	142	3	]	]	PUNCT
ejpam-3711	142	4	has	have	AUX
ejpam-3711	142	5	proved	prove	VERB
ejpam-3711	142	6	a	a	DET
ejpam-3711	142	7	classical	classical	ADJ
ejpam-3711	142	8	version	version	NOUN
ejpam-3711	142	9	of	of	ADP
ejpam-3711	142	10	fuzzy	fuzzy	ADJ
ejpam-3711	142	11	korovkin	korovkin	NOUN
ejpam-3711	142	12	-	-	PUNCT
ejpam-3711	142	13	type	type	NOUN
ejpam-3711	142	14	theorem	theorem	NOUN
ejpam-3711	142	15	.	.	PUNCT
ejpam-3711	143	1	subsequently	subsequently	ADV
ejpam-3711	143	2	,	,	PUNCT
ejpam-3711	143	3	anastassiou	anastassiou	ADJ
ejpam-3711	143	4	and	and	CCONJ
ejpam-3711	143	5	duman	duman	PROPN
ejpam-3711	144	1	[	[	X
ejpam-3711	144	2	3	3	NUM
ejpam-3711	144	3	]	]	PUNCT
ejpam-3711	144	4	established	establish	VERB
ejpam-3711	144	5	the	the	DET
ejpam-3711	144	6	statistical	statistical	ADJ
ejpam-3711	144	7	versions	version	NOUN
ejpam-3711	144	8	of	of	ADP
ejpam-3711	144	9	a	a	DET
ejpam-3711	144	10	fuzzy	fuzzy	ADJ
ejpam-3711	144	11	approximation	approximation	NOUN
ejpam-3711	144	12	theorem	theorem	NOUN
ejpam-3711	144	13	based	base	VERB
ejpam-3711	144	14	on	on	ADP
ejpam-3711	144	15	the	the	DET
ejpam-3711	144	16	fuzzy	fuzzy	ADJ
ejpam-3711	144	17	positive	positive	ADJ
ejpam-3711	144	18	linear	linear	NOUN
ejpam-3711	144	19	operator	operator	NOUN
ejpam-3711	144	20	.	.	PUNCT
ejpam-3711	145	1	here	here	ADV
ejpam-3711	145	2	in	in	ADP
ejpam-3711	145	3	this	this	DET
ejpam-3711	145	4	paper	paper	NOUN
ejpam-3711	145	5	,	,	PUNCT
ejpam-3711	145	6	we	we	PRON
ejpam-3711	145	7	extend	extend	VERB
ejpam-3711	145	8	the	the	DET
ejpam-3711	145	9	result	result	NOUN
ejpam-3711	145	10	of	of	ADP
ejpam-3711	145	11	anastassiou	anastassiou	NOUN
ejpam-3711	145	12	and	and	CCONJ
ejpam-3711	145	13	duman	duman	PROPN
ejpam-3711	146	1	[	[	X
ejpam-3711	146	2	3	3	NUM
ejpam-3711	146	3	]	]	PUNCT
ejpam-3711	146	4	by	by	ADP
ejpam-3711	146	5	using	use	VERB
ejpam-3711	146	6	relatively	relatively	ADV
ejpam-3711	146	7	nörlund	nörlund	ADJ
ejpam-3711	146	8	equistatistical	equistatistical	ADJ
ejpam-3711	146	9	convergence	convergence	NOUN
ejpam-3711	146	10	and	and	CCONJ
ejpam-3711	146	11	accordingly	accordingly	ADV
ejpam-3711	146	12	established	establish	VERB
ejpam-3711	146	13	the	the	DET
ejpam-3711	146	14	following	following	NOUN
ejpam-3711	146	15	theorem	theorem	NOUN
ejpam-3711	146	16	for	for	ADP
ejpam-3711	146	17	the	the	DET
ejpam-3711	146	18	same	same	ADJ
ejpam-3711	146	19	set	set	NOUN
ejpam-3711	146	20	of	of	ADP
ejpam-3711	146	21	functions	function	NOUN
ejpam-3711	146	22	.	.	PUNCT
ejpam-3711	147	1	throughout	throughout	ADP
ejpam-3711	147	2	the	the	DET
ejpam-3711	147	3	paper	paper	NOUN
ejpam-3711	147	4	we	we	PRON
ejpam-3711	147	5	choose	choose	VERB
ejpam-3711	147	6	the	the	DET
ejpam-3711	147	7	test	test	NOUN
ejpam-3711	147	8	functions	function	NOUN
ejpam-3711	147	9	f1	f1	NOUN
ejpam-3711	147	10	=	=	SYM
ejpam-3711	147	11	xi	xi	PROPN
ejpam-3711	147	12	,	,	PUNCT
ejpam-3711	147	13	where	where	SCONJ
ejpam-3711	147	14	i	i	PRON
ejpam-3711	147	15	=	=	NOUN
ejpam-3711	147	16	0	0	NUM
ejpam-3711	147	17	,	,	PUNCT
ejpam-3711	147	18	1	1	NUM
ejpam-3711	147	19	,	,	PUNCT
ejpam-3711	147	20	2	2	NUM
ejpam-3711	147	21	.	.	X
ejpam-3711	147	22	theorem	theorem	NOUN
ejpam-3711	147	23	1	1	NUM
ejpam-3711	147	24	.	.	PUNCT
ejpam-3711	148	1	let	let	VERB
ejpam-3711	148	2	(	(	PUNCT
ejpam-3711	148	3	an	an	X
ejpam-3711	148	4	)	)	PUNCT
ejpam-3711	148	5	and	and	CCONJ
ejpam-3711	148	6	(	(	PUNCT
ejpam-3711	148	7	bn	bn	X
ejpam-3711	148	8	)	)	PUNCT
ejpam-3711	148	9	be	be	AUX
ejpam-3711	148	10	sequences	sequence	NOUN
ejpam-3711	148	11	of	of	ADP
ejpam-3711	148	12	integers	integer	NOUN
ejpam-3711	148	13	(	(	PUNCT
ejpam-3711	148	14	non	non	ADJ
ejpam-3711	148	15	-	-	ADJ
ejpam-3711	148	16	negative	negative	ADJ
ejpam-3711	148	17	)	)	PUNCT
ejpam-3711	148	18	and	and	CCONJ
ejpam-3711	148	19	let	let	VERB
ejpam-3711	148	20	tm	tm	NOUN
ejpam-3711	148	21	:	:	PUNCT
ejpam-3711	148	22	cf	cf	X
ejpam-3711	149	1	[	[	X
ejpam-3711	149	2	a	a	X
ejpam-3711	149	3	,	,	PUNCT
ejpam-3711	149	4	b	b	NOUN
ejpam-3711	149	5	]	]	X
ejpam-3711	149	6	→	→	PUNCT
ejpam-3711	149	7	cf	cf	X
ejpam-3711	149	8	[	[	X
ejpam-3711	149	9	a	a	X
ejpam-3711	149	10	,	,	PUNCT
ejpam-3711	149	11	b	b	NOUN
ejpam-3711	149	12	]	]	X
ejpam-3711	149	13	(	(	PUNCT
ejpam-3711	149	14	m	m	PROPN
ejpam-3711	149	15	∈	∈	PROPN
ejpam-3711	149	16	n	n	CCONJ
ejpam-3711	149	17	)	)	PUNCT
ejpam-3711	149	18	be	be	AUX
ejpam-3711	149	19	the	the	DET
ejpam-3711	149	20	fuzzy	fuzzy	ADJ
ejpam-3711	149	21	sequence	sequence	NOUN
ejpam-3711	149	22	of	of	ADP
ejpam-3711	149	23	positive	positive	ADJ
ejpam-3711	149	24	linear	linear	PROPN
ejpam-3711	149	25	operators	operator	NOUN
ejpam-3711	149	26	.	.	PUNCT
ejpam-3711	150	1	suppose	suppose	VERB
ejpam-3711	150	2	that	that	SCONJ
ejpam-3711	150	3	{	{	PUNCT
ejpam-3711	150	4	t∗m}n∈n	t∗m}n∈n	PROPN
ejpam-3711	150	5	be	be	AUX
ejpam-3711	150	6	the	the	DET
ejpam-3711	150	7	corresponding	corresponding	ADJ
ejpam-3711	150	8	sequence	sequence	NOUN
ejpam-3711	150	9	of	of	ADP
ejpam-3711	150	10	positive	positive	ADJ
ejpam-3711	150	11	linear	linear	PROPN
ejpam-3711	150	12	operators	operator	NOUN
ejpam-3711	150	13	from	from	ADP
ejpam-3711	150	14	c[a	c[a	NUM
ejpam-3711	150	15	,	,	PUNCT
ejpam-3711	150	16	b	b	X
ejpam-3711	150	17	]	]	PUNCT
ejpam-3711	150	18	into	into	ADP
ejpam-3711	150	19	itself	itself	PRON
ejpam-3711	150	20	such	such	ADJ
ejpam-3711	150	21	that	that	SCONJ
ejpam-3711	150	22	{	{	PUNCT
ejpam-3711	150	23	tm(f	tm(f	NOUN
ejpam-3711	150	24	;	;	PUNCT
ejpam-3711	150	25	x)}r±	x)}r±	PROPN
ejpam-3711	150	26	=	=	PUNCT
ejpam-3711	151	1	t∗m(f	t∗m(f	PROPN
ejpam-3711	151	2	r±;x	r±;x	NOUN
ejpam-3711	151	3	)	)	PUNCT
ejpam-3711	151	4	(	(	PUNCT
ejpam-3711	151	5	5	5	NUM
ejpam-3711	151	6	)	)	PUNCT
ejpam-3711	151	7	for	for	ADP
ejpam-3711	151	8	all	all	DET
ejpam-3711	151	9	x	x	SYM
ejpam-3711	151	10	∈	∈	PROPN
ejpam-3711	151	11	[	[	X
ejpam-3711	151	12	a	a	X
ejpam-3711	151	13	,	,	PUNCT
ejpam-3711	151	14	b	b	NOUN
ejpam-3711	151	15	]	]	X
ejpam-3711	151	16	,	,	PUNCT
ejpam-3711	151	17	r	r	NOUN
ejpam-3711	151	18	∈	∈	PROPN
ejpam-3711	152	1	[	[	X
ejpam-3711	152	2	0	0	NUM
ejpam-3711	152	3	,	,	PUNCT
ejpam-3711	152	4	1	1	NUM
ejpam-3711	152	5	]	]	PUNCT
ejpam-3711	152	6	,	,	PUNCT
ejpam-3711	152	7	n	n	PROPN
ejpam-3711	152	8	∈	∈	PROPN
ejpam-3711	152	9	n	n	NOUN
ejpam-3711	152	10	and	and	CCONJ
ejpam-3711	152	11	f	f	PROPN
ejpam-3711	152	12	∈	∈	PROPN
ejpam-3711	152	13	cf	cf	NOUN
ejpam-3711	153	1	[	[	X
ejpam-3711	153	2	a	a	X
ejpam-3711	153	3	,	,	PUNCT
ejpam-3711	153	4	b	b	NOUN
ejpam-3711	153	5	]	]	PUNCT
ejpam-3711	153	6	.	.	PUNCT
ejpam-3711	154	1	further	far	ADV
ejpam-3711	154	2	,	,	PUNCT
ejpam-3711	154	3	assume	assume	VERB
ejpam-3711	154	4	that	that	SCONJ
ejpam-3711	154	5	t∗m(fi	t∗m(fi	NOUN
ejpam-3711	154	6	)	)	PUNCT
ejpam-3711	154	7	−→	−→	ADJ
ejpam-3711	154	8	fi	fi	NOUN
ejpam-3711	154	9	(	(	PUNCT
ejpam-3711	154	10	rw	rw	PROPN
ejpam-3711	154	11	-sequi(∆	-sequi(∆	PROPN
ejpam-3711	154	12	α	α	PROPN
ejpam-3711	154	13	,	,	PUNCT
ejpam-3711	154	14	β	β	X
ejpam-3711	154	15	,	,	PUNCT
ejpam-3711	154	16	γ	γ	PROPN
ejpam-3711	154	17	h	h	PROPN
ejpam-3711	154	18	,	,	PUNCT
ejpam-3711	154	19	x	x	NOUN
ejpam-3711	154	20	)	)	PUNCT
ejpam-3711	154	21	)	)	PUNCT
ejpam-3711	154	22	(	(	PUNCT
ejpam-3711	154	23	e;σi	e;σi	NOUN
ejpam-3711	154	24	)	)	PUNCT
ejpam-3711	154	25	,	,	PUNCT
ejpam-3711	154	26	(	(	PUNCT
ejpam-3711	154	27	6	6	NUM
ejpam-3711	154	28	)	)	PUNCT
ejpam-3711	154	29	where	where	SCONJ
ejpam-3711	154	30	fi(x	fi(x	NUM
ejpam-3711	154	31	)	)	PUNCT
ejpam-3711	154	32	=	=	PRON
ejpam-3711	155	1	xi	xi	X
ejpam-3711	155	2	(	(	PUNCT
ejpam-3711	155	3	i	i	NOUN
ejpam-3711	155	4	=	=	NOUN
ejpam-3711	155	5	0	0	NUM
ejpam-3711	155	6	,	,	PUNCT
ejpam-3711	155	7	1	1	NUM
ejpam-3711	155	8	,	,	PUNCT
ejpam-3711	155	9	2	2	NUM
ejpam-3711	155	10	)	)	PUNCT
ejpam-3711	155	11	and	and	CCONJ
ejpam-3711	155	12	e	e	X
ejpam-3711	155	13	=	=	PUNCT
ejpam-3711	156	1	[	[	X
ejpam-3711	156	2	a	a	X
ejpam-3711	156	3	,	,	PUNCT
ejpam-3711	156	4	b	b	NOUN
ejpam-3711	156	5	]	]	X
ejpam-3711	156	6	.	.	PUNCT
ejpam-3711	157	1	then	then	ADV
ejpam-3711	157	2	,	,	PUNCT
ejpam-3711	157	3	for	for	ADP
ejpam-3711	157	4	all	all	DET
ejpam-3711	157	5	f	f	PROPN
ejpam-3711	157	6	∈	∈	PROPN
ejpam-3711	157	7	cf	cf	NOUN
ejpam-3711	158	1	[	[	X
ejpam-3711	158	2	a	a	X
ejpam-3711	158	3	,	,	PUNCT
ejpam-3711	158	4	b	b	NOUN
ejpam-3711	158	5	]	]	X
ejpam-3711	158	6	,	,	PUNCT
ejpam-3711	158	7	strwequi(∆	strwequi(∆	PROPN
ejpam-3711	158	8	α	α	NOUN
ejpam-3711	158	9	,	,	PUNCT
ejpam-3711	158	10	β	β	X
ejpam-3711	158	11	,	,	PUNCT
ejpam-3711	158	12	γ	γ	PROPN
ejpam-3711	158	13	h	h	PROPN
ejpam-3711	158	14	,	,	PUNCT
ejpam-3711	158	15	x	x	SYM
ejpam-3711	158	16	)	)	PUNCT
ejpam-3711	158	17	limd∗	limd∗	NOUN
ejpam-3711	158	18	(	(	PUNCT
ejpam-3711	158	19	tm(f	tm(f	NOUN
ejpam-3711	158	20	)	)	PUNCT
ejpam-3711	158	21	,	,	PUNCT
ejpam-3711	159	1	f	f	X
ejpam-3711	159	2	)	)	PUNCT
ejpam-3711	159	3	=	=	SYM
ejpam-3711	159	4	0	0	NUM
ejpam-3711	159	5	(	(	PUNCT
ejpam-3711	159	6	e;σ	e;σ	NUM
ejpam-3711	159	7	)	)	PUNCT
ejpam-3711	159	8	.	.	PUNCT
ejpam-3711	160	1	(	(	PUNCT
ejpam-3711	160	2	7	7	X
ejpam-3711	160	3	)	)	PUNCT
ejpam-3711	160	4	here	here	ADV
ejpam-3711	160	5	σ(x	σ(x	NOUN
ejpam-3711	160	6	)	)	PUNCT
ejpam-3711	160	7	=	=	PUNCT
ejpam-3711	160	8	max{|σi(x)|	max{|σi(x)|	NOUN
ejpam-3711	160	9	:	:	PUNCT
ejpam-3711	160	10	|σi(x)|	|σi(x)|	NOUN
ejpam-3711	160	11	>	>	X
ejpam-3711	160	12	0	0	NUM
ejpam-3711	160	13	,	,	PUNCT
ejpam-3711	160	14	i	i	PRON
ejpam-3711	160	15	=	=	NOUN
ejpam-3711	160	16	0	0	NUM
ejpam-3711	160	17	,	,	PUNCT
ejpam-3711	160	18	1	1	NUM
ejpam-3711	160	19	,	,	PUNCT
ejpam-3711	160	20	2	2	NUM
ejpam-3711	160	21	}	}	PUNCT
ejpam-3711	160	22	.	.	PUNCT
ejpam-3711	161	1	proof	proof	NOUN
ejpam-3711	161	2	.	.	PUNCT
ejpam-3711	162	1	suppose	suppose	VERB
ejpam-3711	162	2	f	f	X
ejpam-3711	162	3	∈	∈	PROPN
ejpam-3711	162	4	cf	cf	X
ejpam-3711	163	1	[	[	X
ejpam-3711	163	2	a	a	X
ejpam-3711	163	3	,	,	PUNCT
ejpam-3711	163	4	b	b	NOUN
ejpam-3711	163	5	]	]	X
ejpam-3711	163	6	,	,	PUNCT
ejpam-3711	163	7	x	x	SYM
ejpam-3711	163	8	∈	∈	PROPN
ejpam-3711	164	1	[	[	X
ejpam-3711	164	2	a	a	X
ejpam-3711	164	3	,	,	PUNCT
ejpam-3711	164	4	b	b	NOUN
ejpam-3711	164	5	]	]	PUNCT
ejpam-3711	164	6	and	and	CCONJ
ejpam-3711	164	7	r	r	NOUN
ejpam-3711	164	8	∈	∈	PROPN
ejpam-3711	165	1	[	[	X
ejpam-3711	165	2	0	0	NUM
ejpam-3711	165	3	,	,	PUNCT
ejpam-3711	165	4	1	1	NUM
ejpam-3711	165	5	]	]	PUNCT
ejpam-3711	165	6	.	.	PUNCT
ejpam-3711	166	1	moreover	moreover	ADV
ejpam-3711	166	2	,	,	PUNCT
ejpam-3711	166	3	since	since	SCONJ
ejpam-3711	166	4	f	f	PROPN
ejpam-3711	166	5	r±(x	r±(x	PROPN
ejpam-3711	166	6	)	)	PUNCT
ejpam-3711	166	7	∈	∈	PROPN
ejpam-3711	166	8	c[a	c[a	PROPN
ejpam-3711	166	9	,	,	PUNCT
ejpam-3711	166	10	b	b	X
ejpam-3711	166	11	]	]	X
ejpam-3711	166	12	(	(	PUNCT
ejpam-3711	166	13	by	by	ADP
ejpam-3711	166	14	the	the	DET
ejpam-3711	166	15	hypothesis	hypothesis	NOUN
ejpam-3711	166	16	)	)	PUNCT
ejpam-3711	166	17	,	,	PUNCT
ejpam-3711	166	18	so	so	SCONJ
ejpam-3711	166	19	we	we	PRON
ejpam-3711	166	20	have	have	VERB
ejpam-3711	166	21	for	for	ADP
ejpam-3711	166	22	every	every	DET
ejpam-3711	166	23	ε	ε	PROPN
ejpam-3711	166	24	>	>	X
ejpam-3711	166	25	0	0	PROPN
ejpam-3711	166	26	,	,	PUNCT
ejpam-3711	166	27	there	there	PRON
ejpam-3711	166	28	exists	exist	VERB
ejpam-3711	166	29	δ	δ	PROPN
ejpam-3711	166	30	>	>	X
ejpam-3711	166	31	0	0	PROPN
ejpam-3711	166	32	,	,	PUNCT
ejpam-3711	166	33	such	such	ADJ
ejpam-3711	166	34	that	that	SCONJ
ejpam-3711	166	35	|f	|f	PROPN
ejpam-3711	166	36	r±(y)−	r±(y)−	X
ejpam-3711	166	37	f	f	PROPN
ejpam-3711	166	38	r±(x)|	r±(x)|	PROPN
ejpam-3711	166	39	<	<	X
ejpam-3711	166	40	ε	ε	PROPN
ejpam-3711	166	41	whenever	whenever	SCONJ
ejpam-3711	166	42	|y	|y	VERB
ejpam-3711	166	43	−	−	PROPN
ejpam-3711	166	44	x|	x|	PROPN
ejpam-3711	166	45	<	<	X
ejpam-3711	166	46	δ	δ	PROPN
ejpam-3711	166	47	(	(	PUNCT
ejpam-3711	166	48	8)	8)	NUM
ejpam-3711	166	49	for	for	ADP
ejpam-3711	166	50	all	all	DET
ejpam-3711	166	51	x	x	NOUN
ejpam-3711	166	52	,	,	PUNCT
ejpam-3711	166	53	y	y	PROPN
ejpam-3711	166	54	∈	∈	PROPN
ejpam-3711	167	1	[	[	X
ejpam-3711	167	2	a	a	X
ejpam-3711	167	3	,	,	PUNCT
ejpam-3711	167	4	b	b	NOUN
ejpam-3711	167	5	]	]	X
ejpam-3711	167	6	.	.	PUNCT
ejpam-3711	168	1	since	since	SCONJ
ejpam-3711	168	2	f	f	PROPN
ejpam-3711	168	3	is	be	AUX
ejpam-3711	168	4	fuzzy	fuzzy	ADJ
ejpam-3711	168	5	bounded	bound	VERB
ejpam-3711	168	6	,	,	PUNCT
ejpam-3711	168	7	we	we	PRON
ejpam-3711	168	8	have	have	VERB
ejpam-3711	168	9	|f	|f	PUNCT
ejpam-3711	169	1	r±(x)|	r±(x)|	PROPN
ejpam-3711	169	2	≤	≤	ADJ
ejpam-3711	169	3	kr±	kr±	X
ejpam-3711	169	4	(	(	PUNCT
ejpam-3711	169	5	a	a	DET
ejpam-3711	169	6	<	<	X
ejpam-3711	169	7	x	x	X
ejpam-3711	169	8	<	<	X
ejpam-3711	169	9	b	b	NOUN
ejpam-3711	169	10	)	)	PUNCT
ejpam-3711	169	11	.	.	PUNCT
ejpam-3711	170	1	therefore	therefore	ADV
ejpam-3711	170	2	|f	|f	PROPN
ejpam-3711	170	3	r±(y)−	r±(y)−	X
ejpam-3711	170	4	f	f	PROPN
ejpam-3711	170	5	r±(x)|	r±(x)|	PROPN
ejpam-3711	170	6	≤	≤	NOUN
ejpam-3711	170	7	2kr±	2kr±	NUM
ejpam-3711	170	8	(	(	PUNCT
ejpam-3711	170	9	a	a	DET
ejpam-3711	170	10	<	<	X
ejpam-3711	170	11	x	x	NOUN
ejpam-3711	170	12	,	,	PUNCT
ejpam-3711	170	13	y	y	PROPN
ejpam-3711	170	14	<	<	X
ejpam-3711	170	15	b	b	NOUN
ejpam-3711	170	16	)	)	PUNCT
ejpam-3711	170	17	.	.	PUNCT
ejpam-3711	171	1	let	let	VERB
ejpam-3711	171	2	us	we	PRON
ejpam-3711	171	3	choose	choose	VERB
ejpam-3711	171	4	θ(y	θ(y	PROPN
ejpam-3711	171	5	,	,	PUNCT
ejpam-3711	171	6	x	x	NOUN
ejpam-3711	171	7	)	)	PUNCT
ejpam-3711	171	8	=	=	SYM
ejpam-3711	172	1	(	(	PUNCT
ejpam-3711	172	2	y	y	PROPN
ejpam-3711	172	3	−	−	PROPN
ejpam-3711	172	4	x)2	x)2	PROPN
ejpam-3711	172	5	.	.	PUNCT
ejpam-3711	173	1	then	then	ADV
ejpam-3711	173	2	,	,	PUNCT
ejpam-3711	173	3	we	we	PRON
ejpam-3711	173	4	clearly	clearly	ADV
ejpam-3711	173	5	get	get	VERB
ejpam-3711	173	6	|f	|f	PROPN
ejpam-3711	173	7	r±(y)−	r±(y)−	X
ejpam-3711	173	8	f	f	PROPN
ejpam-3711	173	9	r±(x)|	r±(x)|	PROPN
ejpam-3711	173	10	<	<	X
ejpam-3711	173	11	ε+	ε+	X
ejpam-3711	173	12	2kr±	2kr±	NUM
ejpam-3711	173	13	δ2	δ2	ADJ
ejpam-3711	173	14	θ(y	θ(y	NOUN
ejpam-3711	173	15	,	,	PUNCT
ejpam-3711	173	16	x	x	NOUN
ejpam-3711	173	17	)	)	PUNCT
ejpam-3711	173	18	s.	s.	PROPN
ejpam-3711	173	19	k.	k.	PROPN
ejpam-3711	173	20	paikray	paikray	PROPN
ejpam-3711	173	21	,	,	PUNCT
ejpam-3711	173	22	p.	p.	PROPN
ejpam-3711	173	23	parida	parida	PROPN
ejpam-3711	173	24	,	,	PUNCT
ejpam-3711	173	25	s.	s.	PROPN
ejpam-3711	173	26	a.	a.	PROPN
ejpam-3711	173	27	mohiuddine	mohiuddine	PROPN
ejpam-3711	173	28	/	/	SYM
ejpam-3711	173	29	eur	eur	PROPN
ejpam-3711	173	30	.	.	PUNCT
ejpam-3711	174	1	j.	j.	PROPN
ejpam-3711	174	2	pure	pure	PROPN
ejpam-3711	174	3	appl	appl	PROPN
ejpam-3711	174	4	.	.	PROPN
ejpam-3711	174	5	math	math	PROPN
ejpam-3711	174	6	,	,	PUNCT
ejpam-3711	174	7	13	13	NUM
ejpam-3711	174	8	(	(	PUNCT
ejpam-3711	174	9	5	5	NUM
ejpam-3711	174	10	)	)	PUNCT
ejpam-3711	174	11	(	(	PUNCT
ejpam-3711	174	12	2020	2020	NUM
ejpam-3711	174	13	)	)	PUNCT
ejpam-3711	174	14	,	,	PUNCT
ejpam-3711	174	15	1212	1212	NUM
ejpam-3711	174	16	-	-	SYM
ejpam-3711	174	17	1230	1230	NUM
ejpam-3711	174	18	1220	1220	NUM
ejpam-3711	174	19	which	which	PRON
ejpam-3711	174	20	yields	yield	VERB
ejpam-3711	174	21	−ε−	−ε−	VERB
ejpam-3711	174	22	2kr±	2kr±	NUM
ejpam-3711	174	23	δ2	δ2	ADJ
ejpam-3711	174	24	θ(y	θ(y	NOUN
ejpam-3711	174	25	,	,	PUNCT
ejpam-3711	174	26	x	x	X
ejpam-3711	174	27	)	)	PUNCT
ejpam-3711	174	28	<	<	X
ejpam-3711	175	1	(	(	PUNCT
ejpam-3711	175	2	f	f	X
ejpam-3711	175	3	r±(y)−	r±(y)−	PROPN
ejpam-3711	175	4	f	f	PROPN
ejpam-3711	175	5	r±(x	r±(x	PROPN
ejpam-3711	175	6	)	)	PUNCT
ejpam-3711	175	7	)	)	PUNCT
ejpam-3711	176	1	<	<	X
ejpam-3711	176	2	ε+	ε+	X
ejpam-3711	176	3	2kr±	2kr±	NUM
ejpam-3711	176	4	δ2	δ2	ADJ
ejpam-3711	176	5	θ(y	θ(y	NOUN
ejpam-3711	176	6	,	,	PUNCT
ejpam-3711	176	7	x	x	NOUN
ejpam-3711	176	8	)	)	PUNCT
ejpam-3711	176	9	.	.	PUNCT
ejpam-3711	177	1	(	(	PUNCT
ejpam-3711	177	2	9	9	X
ejpam-3711	177	3	)	)	PUNCT
ejpam-3711	177	4	next	next	ADV
ejpam-3711	177	5	,	,	PUNCT
ejpam-3711	177	6	as	as	SCONJ
ejpam-3711	177	7	the	the	DET
ejpam-3711	177	8	operator	operator	NOUN
ejpam-3711	177	9	∆α	∆α	PROPN
ejpam-3711	177	10	,	,	PUNCT
ejpam-3711	177	11	β	β	X
ejpam-3711	177	12	,	,	PUNCT
ejpam-3711	177	13	γ	γ	PROPN
ejpam-3711	177	14	h	h	NOUN
ejpam-3711	177	15	,	,	PUNCT
ejpam-3711	177	16	x	x	X
ejpam-3711	177	17	t∗m	t∗m	PROPN
ejpam-3711	177	18	is	be	AUX
ejpam-3711	177	19	linear	linear	ADJ
ejpam-3711	177	20	and	and	CCONJ
ejpam-3711	177	21	monotone	monotone	ADJ
ejpam-3711	177	22	,	,	PUNCT
ejpam-3711	177	23	so	so	ADV
ejpam-3711	177	24	by	by	ADP
ejpam-3711	177	25	applying	apply	VERB
ejpam-3711	177	26	∆α	∆α	PROPN
ejpam-3711	177	27	,	,	PUNCT
ejpam-3711	177	28	β	β	X
ejpam-3711	177	29	,	,	PUNCT
ejpam-3711	177	30	γ	γ	PROPN
ejpam-3711	177	31	h	h	PROPN
ejpam-3711	177	32	,	,	PUNCT
ejpam-3711	177	33	x	x	SYM
ejpam-3711	177	34	t∗m(1	t∗m(1	NOUN
ejpam-3711	177	35	,	,	PUNCT
ejpam-3711	177	36	x	x	NOUN
ejpam-3711	177	37	)	)	PUNCT
ejpam-3711	177	38	in	in	ADP
ejpam-3711	177	39	(	(	PUNCT
ejpam-3711	177	40	9	9	NUM
ejpam-3711	177	41	)	)	PUNCT
ejpam-3711	177	42	,	,	PUNCT
ejpam-3711	177	43	we	we	PRON
ejpam-3711	177	44	obtain	obtain	VERB
ejpam-3711	177	45	∆α	∆α	PROPN
ejpam-3711	177	46	,	,	PUNCT
ejpam-3711	177	47	β	β	X
ejpam-3711	177	48	,	,	PUNCT
ejpam-3711	177	49	γ	γ	PROPN
ejpam-3711	177	50	h	h	PROPN
ejpam-3711	177	51	,	,	PUNCT
ejpam-3711	177	52	x	x	SYM
ejpam-3711	177	53	t∗m(1	t∗m(1	NOUN
ejpam-3711	177	54	,	,	PUNCT
ejpam-3711	177	55	x	x	PRON
ejpam-3711	177	56	)	)	PUNCT
ejpam-3711	177	57	(	(	PUNCT
ejpam-3711	177	58	−ε−	−ε−	VERB
ejpam-3711	177	59	2kr±	2kr±	NUM
ejpam-3711	177	60	δ2	δ2	ADJ
ejpam-3711	177	61	θ(y	θ(y	NOUN
ejpam-3711	177	62	,	,	PUNCT
ejpam-3711	177	63	x	x	NOUN
ejpam-3711	177	64	)	)	PUNCT
ejpam-3711	177	65	)	)	PUNCT
ejpam-3711	178	1	<	<	X
ejpam-3711	178	2	∆α	∆α	PROPN
ejpam-3711	178	3	,	,	PUNCT
ejpam-3711	178	4	β	β	X
ejpam-3711	178	5	,	,	PUNCT
ejpam-3711	178	6	γ	γ	PROPN
ejpam-3711	178	7	h	h	PROPN
ejpam-3711	178	8	,	,	PUNCT
ejpam-3711	178	9	x	x	SYM
ejpam-3711	178	10	t∗m(1	t∗m(1	NOUN
ejpam-3711	178	11	,	,	PUNCT
ejpam-3711	178	12	x	x	NOUN
ejpam-3711	178	13	)	)	PUNCT
ejpam-3711	178	14	(	(	PUNCT
ejpam-3711	178	15	f	f	X
ejpam-3711	178	16	r±(y)−	r±(y)−	NUM
ejpam-3711	178	17	f	f	PROPN
ejpam-3711	178	18	r±(x	r±(x	PROPN
ejpam-3711	178	19	)	)	PUNCT
ejpam-3711	178	20	)	)	PUNCT
ejpam-3711	179	1	<	<	X
ejpam-3711	179	2	∆α	∆α	PROPN
ejpam-3711	179	3	,	,	PUNCT
ejpam-3711	179	4	β	β	X
ejpam-3711	179	5	,	,	PUNCT
ejpam-3711	179	6	γ	γ	PROPN
ejpam-3711	179	7	h	h	PROPN
ejpam-3711	179	8	,	,	PUNCT
ejpam-3711	179	9	x	x	SYM
ejpam-3711	179	10	t∗m(1	t∗m(1	NOUN
ejpam-3711	179	11	,	,	PUNCT
ejpam-3711	179	12	x	x	NOUN
ejpam-3711	179	13	)	)	PUNCT
ejpam-3711	179	14	(	(	PUNCT
ejpam-3711	179	15	ε+	ε+	X
ejpam-3711	179	16	2kr±	2kr±	NUM
ejpam-3711	179	17	δ2	δ2	ADJ
ejpam-3711	179	18	θ(y	θ(y	NOUN
ejpam-3711	179	19	,	,	PUNCT
ejpam-3711	179	20	x	x	NOUN
ejpam-3711	179	21	)	)	PUNCT
ejpam-3711	179	22	)	)	PUNCT
ejpam-3711	179	23	.	.	PUNCT
ejpam-3711	180	1	(	(	PUNCT
ejpam-3711	180	2	10	10	NUM
ejpam-3711	180	3	)	)	PUNCT
ejpam-3711	180	4	furthermore	furthermore	ADV
ejpam-3711	180	5	,	,	PUNCT
ejpam-3711	180	6	x	x	PRON
ejpam-3711	180	7	is	be	AUX
ejpam-3711	180	8	supposed	suppose	VERB
ejpam-3711	180	9	to	to	PART
ejpam-3711	180	10	be	be	AUX
ejpam-3711	180	11	fixed	fix	VERB
ejpam-3711	180	12	and	and	CCONJ
ejpam-3711	180	13	f	f	PROPN
ejpam-3711	180	14	r±(x	r±(x	PROPN
ejpam-3711	180	15	)	)	PUNCT
ejpam-3711	180	16	being	be	AUX
ejpam-3711	180	17	a	a	DET
ejpam-3711	180	18	constant	constant	ADJ
ejpam-3711	180	19	number	number	NOUN
ejpam-3711	180	20	,	,	PUNCT
ejpam-3711	180	21	we	we	PRON
ejpam-3711	180	22	thus	thus	ADV
ejpam-3711	180	23	get	get	VERB
ejpam-3711	180	24	−ε∆α	−ε∆α	PROPN
ejpam-3711	180	25	,	,	PUNCT
ejpam-3711	180	26	β	β	X
ejpam-3711	180	27	,	,	PUNCT
ejpam-3711	180	28	γ	γ	PROPN
ejpam-3711	180	29	h	h	PROPN
ejpam-3711	180	30	,	,	PUNCT
ejpam-3711	180	31	x	x	SYM
ejpam-3711	180	32	t∗m(1	t∗m(1	NOUN
ejpam-3711	180	33	,	,	PUNCT
ejpam-3711	180	34	x)−	x)−	PROPN
ejpam-3711	180	35	2kr±	2kr±	NUM
ejpam-3711	180	36	δ2	δ2	PROPN
ejpam-3711	180	37	∆α	∆α	PROPN
ejpam-3711	180	38	,	,	PUNCT
ejpam-3711	180	39	β	β	X
ejpam-3711	180	40	,	,	PUNCT
ejpam-3711	180	41	γ	γ	PROPN
ejpam-3711	180	42	h	h	PROPN
ejpam-3711	180	43	,	,	PUNCT
ejpam-3711	180	44	x	x	PROPN
ejpam-3711	180	45	t∗m(θ	t∗m(θ	NOUN
ejpam-3711	180	46	,	,	PUNCT
ejpam-3711	180	47	x	x	X
ejpam-3711	180	48	)	)	PUNCT
ejpam-3711	180	49	<	<	X
ejpam-3711	181	1	∆α	∆α	PROPN
ejpam-3711	181	2	,	,	PUNCT
ejpam-3711	181	3	β	β	X
ejpam-3711	181	4	,	,	PUNCT
ejpam-3711	181	5	γ	γ	PROPN
ejpam-3711	181	6	h	h	PROPN
ejpam-3711	181	7	,	,	PUNCT
ejpam-3711	181	8	x	x	PROPN
ejpam-3711	181	9	t∗m(f	t∗m(f	NOUN
ejpam-3711	181	10	r±	r±	PROPN
ejpam-3711	181	11	,	,	PUNCT
ejpam-3711	181	12	x)−	x)−	PROPN
ejpam-3711	181	13	f	f	PROPN
ejpam-3711	181	14	r±(x)∆α	r±(x)∆α	PROPN
ejpam-3711	181	15	,	,	PUNCT
ejpam-3711	181	16	β	β	X
ejpam-3711	181	17	,	,	PUNCT
ejpam-3711	181	18	γ	γ	PROPN
ejpam-3711	181	19	h	h	PROPN
ejpam-3711	181	20	,	,	PUNCT
ejpam-3711	181	21	x	x	SYM
ejpam-3711	181	22	t∗m(1	t∗m(1	NOUN
ejpam-3711	181	23	,	,	PUNCT
ejpam-3711	181	24	x	x	X
ejpam-3711	181	25	)	)	PUNCT
ejpam-3711	181	26	<	<	X
ejpam-3711	181	27	ε∆α	ε∆α	X
ejpam-3711	181	28	,	,	PUNCT
ejpam-3711	181	29	β	β	X
ejpam-3711	181	30	,	,	PUNCT
ejpam-3711	181	31	γ	γ	PROPN
ejpam-3711	181	32	h	h	PROPN
ejpam-3711	181	33	,	,	PUNCT
ejpam-3711	181	34	x	x	SYM
ejpam-3711	181	35	t∗m(1	t∗m(1	NOUN
ejpam-3711	181	36	,	,	PUNCT
ejpam-3711	181	37	x	x	NOUN
ejpam-3711	181	38	)	)	PUNCT
ejpam-3711	181	39	+	+	NUM
ejpam-3711	181	40	2kr±	2kr±	NUM
ejpam-3711	181	41	δ2	δ2	VERB
ejpam-3711	181	42	∆α	∆α	PROPN
ejpam-3711	181	43	,	,	PUNCT
ejpam-3711	181	44	β	β	X
ejpam-3711	181	45	,	,	PUNCT
ejpam-3711	181	46	γ	γ	PROPN
ejpam-3711	181	47	h	h	PROPN
ejpam-3711	181	48	,	,	PUNCT
ejpam-3711	181	49	x	x	PROPN
ejpam-3711	181	50	t∗m(θ	t∗m(θ	NOUN
ejpam-3711	181	51	,	,	PUNCT
ejpam-3711	181	52	x	x	NOUN
ejpam-3711	181	53	)	)	PUNCT
ejpam-3711	181	54	,	,	PUNCT
ejpam-3711	181	55	(	(	PUNCT
ejpam-3711	181	56	11	11	NUM
ejpam-3711	181	57	)	)	PUNCT
ejpam-3711	181	58	and	and	CCONJ
ejpam-3711	181	59	moreover	moreover	ADV
ejpam-3711	181	60	in	in	ADP
ejpam-3711	181	61	association	association	NOUN
ejpam-3711	181	62	with	with	ADP
ejpam-3711	181	63	the	the	DET
ejpam-3711	181	64	identity	identity	NOUN
ejpam-3711	181	65	(	(	PUNCT
ejpam-3711	181	66	below	below	ADV
ejpam-3711	181	67	)	)	PUNCT
ejpam-3711	181	68	∆α	∆α	PROPN
ejpam-3711	181	69	,	,	PUNCT
ejpam-3711	181	70	β	β	X
ejpam-3711	181	71	,	,	PUNCT
ejpam-3711	181	72	γ	γ	PROPN
ejpam-3711	181	73	h	h	PROPN
ejpam-3711	181	74	,	,	PUNCT
ejpam-3711	181	75	x	x	PROPN
ejpam-3711	181	76	t∗m(f	t∗m(f	NOUN
ejpam-3711	181	77	r±	r±	PROPN
ejpam-3711	181	78	,	,	PUNCT
ejpam-3711	181	79	x)−	x)−	PROPN
ejpam-3711	181	80	f	f	PROPN
ejpam-3711	181	81	r±(x	r±(x	PROPN
ejpam-3711	181	82	)	)	PUNCT
ejpam-3711	181	83	=	=	PUNCT
ejpam-3711	182	1	[	[	PUNCT
ejpam-3711	182	2	∆α	∆α	PROPN
ejpam-3711	182	3	,	,	PUNCT
ejpam-3711	182	4	β	β	X
ejpam-3711	182	5	,	,	PUNCT
ejpam-3711	182	6	γ	γ	PROPN
ejpam-3711	182	7	h	h	PROPN
ejpam-3711	182	8	,	,	PUNCT
ejpam-3711	182	9	x	x	PROPN
ejpam-3711	182	10	t∗m(f	t∗m(f	NOUN
ejpam-3711	182	11	r±	r±	PROPN
ejpam-3711	182	12	,	,	PUNCT
ejpam-3711	182	13	x)−	x)−	PROPN
ejpam-3711	182	14	f	f	PROPN
ejpam-3711	182	15	r±(x)∆α	r±(x)∆α	PROPN
ejpam-3711	182	16	,	,	PUNCT
ejpam-3711	182	17	β	β	X
ejpam-3711	182	18	,	,	PUNCT
ejpam-3711	182	19	γ	γ	PROPN
ejpam-3711	182	20	h	h	PROPN
ejpam-3711	182	21	,	,	PUNCT
ejpam-3711	182	22	x	x	SYM
ejpam-3711	182	23	t∗m(1	t∗m(1	NOUN
ejpam-3711	182	24	,	,	PUNCT
ejpam-3711	182	25	x	x	NOUN
ejpam-3711	182	26	)	)	PUNCT
ejpam-3711	182	27	]	]	PUNCT
ejpam-3711	183	1	+	+	CCONJ
ejpam-3711	183	2	f	f	X
ejpam-3711	183	3	r±(x)[∆α	r±(x)[∆α	PROPN
ejpam-3711	183	4	,	,	PUNCT
ejpam-3711	183	5	β	β	X
ejpam-3711	183	6	,	,	PUNCT
ejpam-3711	183	7	γ	γ	PROPN
ejpam-3711	183	8	h	h	PROPN
ejpam-3711	183	9	,	,	PUNCT
ejpam-3711	183	10	x	x	SYM
ejpam-3711	183	11	t∗m(1	t∗m(1	NOUN
ejpam-3711	183	12	,	,	PUNCT
ejpam-3711	183	13	x)−	x)−	PROPN
ejpam-3711	183	14	1	1	NUM
ejpam-3711	183	15	]	]	PUNCT
ejpam-3711	183	16	(	(	PUNCT
ejpam-3711	183	17	12	12	NUM
ejpam-3711	183	18	)	)	PUNCT
ejpam-3711	183	19	yields	yield	NOUN
ejpam-3711	183	20	∆α	∆α	PROPN
ejpam-3711	183	21	,	,	PUNCT
ejpam-3711	183	22	β	β	X
ejpam-3711	183	23	,	,	PUNCT
ejpam-3711	183	24	γ	γ	PROPN
ejpam-3711	183	25	h	h	PROPN
ejpam-3711	183	26	,	,	PUNCT
ejpam-3711	183	27	x	x	PROPN
ejpam-3711	183	28	t∗m(f	t∗m(f	NOUN
ejpam-3711	183	29	r±	r±	PROPN
ejpam-3711	183	30	,	,	PUNCT
ejpam-3711	183	31	x)−	x)−	PROPN
ejpam-3711	183	32	f	f	PROPN
ejpam-3711	183	33	r±(x	r±(x	PROPN
ejpam-3711	183	34	)	)	PUNCT
ejpam-3711	183	35	<	<	X
ejpam-3711	183	36	ε∆α	ε∆α	X
ejpam-3711	183	37	,	,	PUNCT
ejpam-3711	183	38	β	β	X
ejpam-3711	183	39	,	,	PUNCT
ejpam-3711	183	40	γ	γ	PROPN
ejpam-3711	183	41	h	h	PROPN
ejpam-3711	183	42	,	,	PUNCT
ejpam-3711	183	43	x	x	SYM
ejpam-3711	183	44	t∗m(1	t∗m(1	NOUN
ejpam-3711	183	45	,	,	PUNCT
ejpam-3711	183	46	x	x	NOUN
ejpam-3711	183	47	)	)	PUNCT
ejpam-3711	183	48	+	+	NUM
ejpam-3711	183	49	2kr±	2kr±	NUM
ejpam-3711	183	50	δ2	δ2	VERB
ejpam-3711	183	51	∆α	∆α	PROPN
ejpam-3711	183	52	,	,	PUNCT
ejpam-3711	183	53	β	β	X
ejpam-3711	183	54	,	,	PUNCT
ejpam-3711	183	55	γ	γ	PROPN
ejpam-3711	183	56	h	h	PROPN
ejpam-3711	183	57	,	,	PUNCT
ejpam-3711	183	58	x	x	PROPN
ejpam-3711	183	59	t∗m(θ	t∗m(θ	NOUN
ejpam-3711	183	60	,	,	PUNCT
ejpam-3711	183	61	x	x	X
ejpam-3711	183	62	)	)	PUNCT
ejpam-3711	183	63	+	+	NUM
ejpam-3711	183	64	f	f	PROPN
ejpam-3711	183	65	r±(x)[∆α	r±(x)[∆α	PROPN
ejpam-3711	183	66	,	,	PUNCT
ejpam-3711	183	67	β	β	X
ejpam-3711	183	68	,	,	PUNCT
ejpam-3711	183	69	γ	γ	PROPN
ejpam-3711	183	70	h	h	PROPN
ejpam-3711	183	71	,	,	PUNCT
ejpam-3711	183	72	x	x	NOUN
ejpam-3711	183	73	trm(1	trm(1	NOUN
ejpam-3711	183	74	,	,	PUNCT
ejpam-3711	183	75	x)−	x)−	PROPN
ejpam-3711	183	76	1	1	NUM
ejpam-3711	183	77	]	]	PUNCT
ejpam-3711	183	78	.	.	PUNCT
ejpam-3711	184	1	(	(	PUNCT
ejpam-3711	184	2	13	13	NUM
ejpam-3711	184	3	)	)	PUNCT
ejpam-3711	184	4	furthermore	furthermore	ADV
ejpam-3711	184	5	,	,	PUNCT
ejpam-3711	184	6	computing	compute	VERB
ejpam-3711	184	7	∆α	∆α	PROPN
ejpam-3711	184	8	,	,	PUNCT
ejpam-3711	184	9	β	β	X
ejpam-3711	184	10	,	,	PUNCT
ejpam-3711	184	11	γ	γ	PROPN
ejpam-3711	184	12	h	h	PROPN
ejpam-3711	184	13	,	,	PUNCT
ejpam-3711	184	14	x	x	PROPN
ejpam-3711	184	15	t∗m(θ	t∗m(θ	NOUN
ejpam-3711	184	16	,	,	PUNCT
ejpam-3711	184	17	x	x	NOUN
ejpam-3711	184	18	)	)	PUNCT
ejpam-3711	184	19	as	as	ADP
ejpam-3711	184	20	,	,	PUNCT
ejpam-3711	184	21	∆α	∆α	PROPN
ejpam-3711	184	22	,	,	PUNCT
ejpam-3711	184	23	β	β	X
ejpam-3711	184	24	,	,	PUNCT
ejpam-3711	184	25	γ	γ	PROPN
ejpam-3711	184	26	h	h	PROPN
ejpam-3711	184	27	,	,	PUNCT
ejpam-3711	184	28	x	x	PROPN
ejpam-3711	184	29	t∗m(θ	t∗m(θ	NOUN
ejpam-3711	184	30	,	,	PUNCT
ejpam-3711	184	31	x	x	NOUN
ejpam-3711	184	32	)	)	PUNCT
ejpam-3711	184	33	=	=	SYM
ejpam-3711	184	34	∆α	∆α	PROPN
ejpam-3711	184	35	,	,	PUNCT
ejpam-3711	184	36	β	β	X
ejpam-3711	184	37	,	,	PUNCT
ejpam-3711	184	38	γ	γ	PROPN
ejpam-3711	184	39	h	h	PROPN
ejpam-3711	184	40	,	,	PUNCT
ejpam-3711	184	41	x	x	PROPN
ejpam-3711	184	42	t∗m(y2	t∗m(y2	ADP
ejpam-3711	184	43	−	−	NOUN
ejpam-3711	184	44	2xy	2xy	ADJ
ejpam-3711	184	45	+	+	CCONJ
ejpam-3711	184	46	x2	x2	ADJ
ejpam-3711	184	47	,	,	PUNCT
ejpam-3711	184	48	x	x	X
ejpam-3711	184	49	)	)	PUNCT
ejpam-3711	184	50	=	=	SYM
ejpam-3711	184	51	∆α	∆α	PROPN
ejpam-3711	184	52	,	,	PUNCT
ejpam-3711	184	53	β	β	X
ejpam-3711	184	54	,	,	PUNCT
ejpam-3711	184	55	γ	γ	PROPN
ejpam-3711	184	56	h	h	PROPN
ejpam-3711	184	57	,	,	PUNCT
ejpam-3711	184	58	x	x	NOUN
ejpam-3711	184	59	t∗m(y2	t∗m(y2	ADJ
ejpam-3711	184	60	,	,	PUNCT
ejpam-3711	184	61	x)−	x)−	PROPN
ejpam-3711	184	62	2x∆α	2x∆α	NUM
ejpam-3711	184	63	,	,	PUNCT
ejpam-3711	184	64	β	β	X
ejpam-3711	184	65	,	,	PUNCT
ejpam-3711	184	66	γ	γ	PROPN
ejpam-3711	184	67	h	h	PROPN
ejpam-3711	184	68	,	,	PUNCT
ejpam-3711	184	69	x	x	PROPN
ejpam-3711	184	70	t∗m(y	t∗m(y	PROPN
ejpam-3711	184	71	,	,	PUNCT
ejpam-3711	184	72	x	x	X
ejpam-3711	184	73	)	)	PUNCT
ejpam-3711	185	1	+	+	CCONJ
ejpam-3711	185	2	x2∆α	x2∆α	NUM
ejpam-3711	185	3	,	,	PUNCT
ejpam-3711	185	4	β	β	X
ejpam-3711	185	5	,	,	PUNCT
ejpam-3711	185	6	γ	γ	PROPN
ejpam-3711	185	7	h	h	PROPN
ejpam-3711	185	8	,	,	PUNCT
ejpam-3711	185	9	x	x	SYM
ejpam-3711	185	10	t∗m(1	t∗m(1	NOUN
ejpam-3711	185	11	,	,	PUNCT
ejpam-3711	185	12	x	x	NOUN
ejpam-3711	185	13	)	)	PUNCT
ejpam-3711	185	14	=	=	PUNCT
ejpam-3711	186	1	[	[	PUNCT
ejpam-3711	186	2	∆α	∆α	PROPN
ejpam-3711	186	3	,	,	PUNCT
ejpam-3711	186	4	β	β	X
ejpam-3711	186	5	,	,	PUNCT
ejpam-3711	186	6	γ	γ	PROPN
ejpam-3711	186	7	h	h	PROPN
ejpam-3711	186	8	,	,	PUNCT
ejpam-3711	186	9	x	x	NOUN
ejpam-3711	186	10	t∗m(y2	t∗m(y2	ADJ
ejpam-3711	186	11	,	,	PUNCT
ejpam-3711	186	12	x)−	x)−	PROPN
ejpam-3711	186	13	x2]−	x2]−	NOUN
ejpam-3711	186	14	2x[∆α	2x[∆α	NUM
ejpam-3711	186	15	,	,	PUNCT
ejpam-3711	186	16	β	β	X
ejpam-3711	186	17	,	,	PUNCT
ejpam-3711	186	18	γ	γ	PROPN
ejpam-3711	186	19	h	h	PROPN
ejpam-3711	186	20	,	,	PUNCT
ejpam-3711	186	21	x	x	PROPN
ejpam-3711	186	22	t∗m(y	t∗m(y	PROPN
ejpam-3711	186	23	,	,	PUNCT
ejpam-3711	186	24	x)−	x)−	PROPN
ejpam-3711	186	25	x	x	X
ejpam-3711	186	26	]	]	X
ejpam-3711	186	27	+	+	CCONJ
ejpam-3711	186	28	x2[∆α	x2[∆α	PROPN
ejpam-3711	186	29	,	,	PUNCT
ejpam-3711	186	30	β	β	X
ejpam-3711	186	31	,	,	PUNCT
ejpam-3711	186	32	γ	γ	PROPN
ejpam-3711	186	33	h	h	PROPN
ejpam-3711	186	34	,	,	PUNCT
ejpam-3711	186	35	x	x	SYM
ejpam-3711	186	36	t∗m(1	t∗m(1	NOUN
ejpam-3711	186	37	,	,	PUNCT
ejpam-3711	186	38	x)−	x)−	PROPN
ejpam-3711	186	39	1	1	NUM
ejpam-3711	186	40	]	]	PUNCT
ejpam-3711	186	41	and	and	CCONJ
ejpam-3711	186	42	using	use	VERB
ejpam-3711	186	43	(	(	PUNCT
ejpam-3711	186	44	13	13	NUM
ejpam-3711	186	45	)	)	PUNCT
ejpam-3711	186	46	,	,	PUNCT
ejpam-3711	186	47	we	we	PRON
ejpam-3711	186	48	get	get	VERB
ejpam-3711	186	49	∆α	∆α	PROPN
ejpam-3711	186	50	,	,	PUNCT
ejpam-3711	186	51	β	β	X
ejpam-3711	186	52	,	,	PUNCT
ejpam-3711	186	53	γ	γ	PROPN
ejpam-3711	186	54	h	h	PROPN
ejpam-3711	186	55	,	,	PUNCT
ejpam-3711	186	56	x	x	PROPN
ejpam-3711	186	57	t∗m(f	t∗m(f	NOUN
ejpam-3711	186	58	r±	r±	PROPN
ejpam-3711	186	59	,	,	PUNCT
ejpam-3711	186	60	x)−	x)−	PROPN
ejpam-3711	186	61	f	f	PROPN
ejpam-3711	186	62	r±(x	r±(x	PROPN
ejpam-3711	186	63	)	)	PUNCT
ejpam-3711	186	64	<	<	X
ejpam-3711	187	1	ε∆α	ε∆α	X
ejpam-3711	187	2	,	,	PUNCT
ejpam-3711	187	3	β	β	X
ejpam-3711	187	4	,	,	PUNCT
ejpam-3711	187	5	γ	γ	PROPN
ejpam-3711	187	6	h	h	PROPN
ejpam-3711	187	7	,	,	PUNCT
ejpam-3711	187	8	x	x	SYM
ejpam-3711	187	9	t∗m(1	t∗m(1	NOUN
ejpam-3711	187	10	,	,	PUNCT
ejpam-3711	187	11	x	x	NOUN
ejpam-3711	187	12	)	)	PUNCT
ejpam-3711	187	13	+	+	NUM
ejpam-3711	187	14	2kr±	2kr±	NUM
ejpam-3711	187	15	δ2	δ2	VERB
ejpam-3711	187	16	{	{	PUNCT
ejpam-3711	187	17	[	[	X
ejpam-3711	187	18	∆α	∆α	PROPN
ejpam-3711	187	19	,	,	PUNCT
ejpam-3711	187	20	β	β	X
ejpam-3711	187	21	,	,	PUNCT
ejpam-3711	187	22	γ	γ	PROPN
ejpam-3711	187	23	h	h	PROPN
ejpam-3711	187	24	,	,	PUNCT
ejpam-3711	187	25	x	x	NOUN
ejpam-3711	187	26	t∗m(y2	t∗m(y2	ADJ
ejpam-3711	187	27	,	,	PUNCT
ejpam-3711	187	28	x)−	x)−	PROPN
ejpam-3711	187	29	x2	x2	PROPN
ejpam-3711	187	30	]	]	PUNCT
ejpam-3711	187	31	−	−	PROPN
ejpam-3711	187	32	2x[∆α	2x[∆α	PROPN
ejpam-3711	187	33	,	,	PUNCT
ejpam-3711	187	34	β	β	X
ejpam-3711	187	35	,	,	PUNCT
ejpam-3711	187	36	γ	γ	PROPN
ejpam-3711	187	37	h	h	PROPN
ejpam-3711	187	38	,	,	PUNCT
ejpam-3711	187	39	x	x	PROPN
ejpam-3711	187	40	t∗m(y	t∗m(y	PROPN
ejpam-3711	187	41	,	,	PUNCT
ejpam-3711	187	42	x)−	x)−	PROPN
ejpam-3711	187	43	x	x	X
ejpam-3711	187	44	]	]	X
ejpam-3711	187	45	+	+	CCONJ
ejpam-3711	187	46	x2[∆α	x2[∆α	PROPN
ejpam-3711	187	47	,	,	PUNCT
ejpam-3711	187	48	β	β	X
ejpam-3711	187	49	,	,	PUNCT
ejpam-3711	187	50	γ	γ	PROPN
ejpam-3711	187	51	h	h	PROPN
ejpam-3711	187	52	,	,	PUNCT
ejpam-3711	187	53	x	x	SYM
ejpam-3711	187	54	t∗m(1	t∗m(1	NOUN
ejpam-3711	187	55	,	,	PUNCT
ejpam-3711	187	56	x)−	x)−	PROPN
ejpam-3711	187	57	1	1	NUM
ejpam-3711	187	58	]	]	PUNCT
ejpam-3711	187	59	}	}	PUNCT
ejpam-3711	187	60	+	+	NUM
ejpam-3711	187	61	f	f	PROPN
ejpam-3711	187	62	r±(x)[∆α	r±(x)[∆α	PROPN
ejpam-3711	187	63	,	,	PUNCT
ejpam-3711	187	64	β	β	X
ejpam-3711	187	65	,	,	PUNCT
ejpam-3711	187	66	γ	γ	PROPN
ejpam-3711	187	67	h	h	PROPN
ejpam-3711	187	68	,	,	PUNCT
ejpam-3711	187	69	x	x	SYM
ejpam-3711	187	70	t∗m(1	t∗m(1	NOUN
ejpam-3711	187	71	,	,	PUNCT
ejpam-3711	187	72	x)−	x)−	PROPN
ejpam-3711	187	73	1	1	NUM
ejpam-3711	187	74	]	]	PUNCT
ejpam-3711	187	75	s.	s.	PROPN
ejpam-3711	187	76	k.	k.	PROPN
ejpam-3711	187	77	paikray	paikray	PROPN
ejpam-3711	187	78	,	,	PUNCT
ejpam-3711	187	79	p.	p.	PROPN
ejpam-3711	187	80	parida	parida	PROPN
ejpam-3711	187	81	,	,	PUNCT
ejpam-3711	187	82	s.	s.	PROPN
ejpam-3711	187	83	a.	a.	PROPN
ejpam-3711	187	84	mohiuddine	mohiuddine	PROPN
ejpam-3711	187	85	/	/	SYM
ejpam-3711	187	86	eur	eur	PROPN
ejpam-3711	187	87	.	.	PUNCT
ejpam-3711	188	1	j.	j.	PROPN
ejpam-3711	188	2	pure	pure	PROPN
ejpam-3711	188	3	appl	appl	PROPN
ejpam-3711	188	4	.	.	PROPN
ejpam-3711	188	5	math	math	PROPN
ejpam-3711	188	6	,	,	PUNCT
ejpam-3711	188	7	13	13	NUM
ejpam-3711	188	8	(	(	PUNCT
ejpam-3711	188	9	5	5	NUM
ejpam-3711	188	10	)	)	PUNCT
ejpam-3711	188	11	(	(	PUNCT
ejpam-3711	188	12	2020	2020	NUM
ejpam-3711	188	13	)	)	PUNCT
ejpam-3711	188	14	,	,	PUNCT
ejpam-3711	188	15	1212	1212	NUM
ejpam-3711	188	16	-	-	SYM
ejpam-3711	188	17	1230	1230	NUM
ejpam-3711	188	18	1221	1221	NUM
ejpam-3711	188	19	=	=	SYM
ejpam-3711	188	20	ε[∆α	ε[∆α	PROPN
ejpam-3711	188	21	,	,	PUNCT
ejpam-3711	188	22	β	β	X
ejpam-3711	188	23	,	,	PUNCT
ejpam-3711	188	24	γ	γ	PROPN
ejpam-3711	188	25	h	h	PROPN
ejpam-3711	188	26	,	,	PUNCT
ejpam-3711	188	27	x	x	SYM
ejpam-3711	188	28	t∗m(1	t∗m(1	NOUN
ejpam-3711	188	29	,	,	PUNCT
ejpam-3711	188	30	x)−	x)−	PROPN
ejpam-3711	188	31	1	1	NUM
ejpam-3711	188	32	]	]	PUNCT
ejpam-3711	188	33	+	+	NUM
ejpam-3711	188	34	ε+	ε+	X
ejpam-3711	188	35	2kr±	2kr±	X
ejpam-3711	188	36	δ2	δ2	VERB
ejpam-3711	188	37	{	{	PUNCT
ejpam-3711	188	38	[	[	X
ejpam-3711	188	39	∆α	∆α	PROPN
ejpam-3711	188	40	,	,	PUNCT
ejpam-3711	188	41	β	β	X
ejpam-3711	188	42	,	,	PUNCT
ejpam-3711	188	43	γ	γ	PROPN
ejpam-3711	188	44	h	h	PROPN
ejpam-3711	188	45	,	,	PUNCT
ejpam-3711	188	46	x	x	NOUN
ejpam-3711	188	47	t∗m(y2	t∗m(y2	ADJ
ejpam-3711	188	48	,	,	PUNCT
ejpam-3711	188	49	x)−	x)−	PROPN
ejpam-3711	188	50	x2	x2	PROPN
ejpam-3711	188	51	]	]	PUNCT
ejpam-3711	188	52	−	−	PROPN
ejpam-3711	188	53	2x[∆α	2x[∆α	PROPN
ejpam-3711	188	54	,	,	PUNCT
ejpam-3711	188	55	β	β	X
ejpam-3711	188	56	,	,	PUNCT
ejpam-3711	188	57	γ	γ	PROPN
ejpam-3711	188	58	h	h	PROPN
ejpam-3711	188	59	,	,	PUNCT
ejpam-3711	188	60	x	x	PROPN
ejpam-3711	188	61	trm(y	trm(y	PROPN
ejpam-3711	188	62	,	,	PUNCT
ejpam-3711	188	63	x)−	x)−	PROPN
ejpam-3711	188	64	x	x	X
ejpam-3711	188	65	]	]	X
ejpam-3711	188	66	+	+	CCONJ
ejpam-3711	188	67	x2[∆α	x2[∆α	PROPN
ejpam-3711	188	68	,	,	PUNCT
ejpam-3711	188	69	β	β	X
ejpam-3711	188	70	,	,	PUNCT
ejpam-3711	188	71	γ	γ	PROPN
ejpam-3711	188	72	h	h	PROPN
ejpam-3711	188	73	,	,	PUNCT
ejpam-3711	188	74	x	x	SYM
ejpam-3711	188	75	t∗m(1	t∗m(1	NOUN
ejpam-3711	188	76	,	,	PUNCT
ejpam-3711	188	77	x)−	x)−	PROPN
ejpam-3711	188	78	1	1	NUM
ejpam-3711	188	79	]	]	PUNCT
ejpam-3711	188	80	}	}	PUNCT
ejpam-3711	188	81	+	+	NUM
ejpam-3711	188	82	f	f	PROPN
ejpam-3711	188	83	r±(x)[∆α	r±(x)[∆α	PROPN
ejpam-3711	188	84	,	,	PUNCT
ejpam-3711	188	85	β	β	X
ejpam-3711	188	86	,	,	PUNCT
ejpam-3711	188	87	γ	γ	PROPN
ejpam-3711	188	88	h	h	PROPN
ejpam-3711	188	89	,	,	PUNCT
ejpam-3711	188	90	x	x	SYM
ejpam-3711	188	91	t∗m(1	t∗m(1	NOUN
ejpam-3711	188	92	,	,	PUNCT
ejpam-3711	188	93	x)−	x)−	PROPN
ejpam-3711	188	94	1	1	NUM
ejpam-3711	188	95	]	]	PUNCT
ejpam-3711	188	96	.	.	PUNCT
ejpam-3711	189	1	we	we	PRON
ejpam-3711	189	2	certainly	certainly	ADV
ejpam-3711	189	3	write	write	VERB
ejpam-3711	189	4	|∆α	|∆α	PROPN
ejpam-3711	189	5	,	,	PUNCT
ejpam-3711	189	6	β	β	X
ejpam-3711	189	7	,	,	PUNCT
ejpam-3711	189	8	γ	γ	PROPN
ejpam-3711	189	9	h	h	PROPN
ejpam-3711	189	10	,	,	PUNCT
ejpam-3711	189	11	x	x	PROPN
ejpam-3711	189	12	t∗m(f	t∗m(f	NOUN
ejpam-3711	189	13	r±	r±	PROPN
ejpam-3711	189	14	,	,	PUNCT
ejpam-3711	189	15	x)−	x)−	PROPN
ejpam-3711	189	16	f	f	PROPN
ejpam-3711	190	1	r±(x)|	r±(x)|	PROPN
ejpam-3711	190	2	5	5	NUM
ejpam-3711	190	3	ε+	ε+	X
ejpam-3711	190	4	(	(	PUNCT
ejpam-3711	190	5	ε+	ε+	X
ejpam-3711	190	6	2kr±c2	2kr±c2	NOUN
ejpam-3711	190	7	δ2	δ2	VERB
ejpam-3711	190	8	+	+	NOUN
ejpam-3711	190	9	kr±	kr±	NOUN
ejpam-3711	190	10	)	)	PUNCT
ejpam-3711	190	11	|∆α	|∆α	PROPN
ejpam-3711	190	12	,	,	PUNCT
ejpam-3711	190	13	β	β	X
ejpam-3711	190	14	,	,	PUNCT
ejpam-3711	190	15	γ	γ	PROPN
ejpam-3711	190	16	h	h	PROPN
ejpam-3711	190	17	,	,	PUNCT
ejpam-3711	190	18	x	x	SYM
ejpam-3711	190	19	t∗m(1	t∗m(1	NOUN
ejpam-3711	190	20	,	,	PUNCT
ejpam-3711	190	21	x)−	x)−	PROPN
ejpam-3711	190	22	1|+	1|+	NUM
ejpam-3711	190	23	4kr±c	4kr±c	NUM
ejpam-3711	190	24	δ2	δ2	VERB
ejpam-3711	190	25	|∆α	|∆α	PROPN
ejpam-3711	190	26	,	,	PUNCT
ejpam-3711	190	27	β	β	X
ejpam-3711	190	28	,	,	PUNCT
ejpam-3711	190	29	γ	γ	PROPN
ejpam-3711	190	30	h	h	PROPN
ejpam-3711	190	31	,	,	PUNCT
ejpam-3711	190	32	x	x	PROPN
ejpam-3711	190	33	trm(y	trm(y	PROPN
ejpam-3711	190	34	,	,	PUNCT
ejpam-3711	190	35	x)−	x)−	PROPN
ejpam-3711	190	36	x|	x|	PROPN
ejpam-3711	191	1	+	+	CCONJ
ejpam-3711	191	2	2kr±	2kr±	NUM
ejpam-3711	191	3	δ2	δ2	VERB
ejpam-3711	191	4	|∆α	|∆α	PROPN
ejpam-3711	191	5	,	,	PUNCT
ejpam-3711	191	6	β	β	X
ejpam-3711	191	7	,	,	PUNCT
ejpam-3711	191	8	γ	γ	PROPN
ejpam-3711	191	9	h	h	PROPN
ejpam-3711	191	10	,	,	PUNCT
ejpam-3711	191	11	x	x	PROPN
ejpam-3711	191	12	trm(y2	trm(y2	PROPN
ejpam-3711	191	13	,	,	PUNCT
ejpam-3711	191	14	x)−	x)−	PROPN
ejpam-3711	191	15	x2|	x2|	PROPN
ejpam-3711	191	16	,	,	PUNCT
ejpam-3711	191	17	where	where	SCONJ
ejpam-3711	191	18	c	c	NOUN
ejpam-3711	191	19	=	=	SYM
ejpam-3711	191	20	max{|a|	max{|a|	X
ejpam-3711	191	21	,	,	PUNCT
ejpam-3711	191	22	|b|	|b|	PROPN
ejpam-3711	191	23	}	}	PUNCT
ejpam-3711	191	24	.	.	PUNCT
ejpam-3711	192	1	consequently	consequently	ADV
ejpam-3711	192	2	,	,	PUNCT
ejpam-3711	192	3	we	we	PRON
ejpam-3711	192	4	obtain	obtain	VERB
ejpam-3711	192	5	|∆α	|∆α	PROPN
ejpam-3711	192	6	,	,	PUNCT
ejpam-3711	192	7	β	β	X
ejpam-3711	192	8	,	,	PUNCT
ejpam-3711	192	9	γ	γ	PROPN
ejpam-3711	192	10	h	h	PROPN
ejpam-3711	192	11	,	,	PUNCT
ejpam-3711	192	12	x	x	PROPN
ejpam-3711	192	13	t∗m(f	t∗m(f	NOUN
ejpam-3711	192	14	r±	r±	PROPN
ejpam-3711	192	15	,	,	PUNCT
ejpam-3711	192	16	x)−	x)−	PROPN
ejpam-3711	192	17	f	f	PROPN
ejpam-3711	192	18	r±(x)|	r±(x)|	PROPN
ejpam-3711	192	19	5	5	NUM
ejpam-3711	192	20	ε+mr	ε+mr	ADJ
ejpam-3711	192	21	±(ε	±(ε	NOUN
ejpam-3711	192	22	)	)	PUNCT
ejpam-3711	192	23	(	(	PUNCT
ejpam-3711	192	24	|∆α	|∆α	PROPN
ejpam-3711	192	25	,	,	PUNCT
ejpam-3711	192	26	β	β	X
ejpam-3711	192	27	,	,	PUNCT
ejpam-3711	192	28	γ	γ	PROPN
ejpam-3711	192	29	h	h	PROPN
ejpam-3711	192	30	,	,	PUNCT
ejpam-3711	192	31	x	x	SYM
ejpam-3711	192	32	t∗m(1	t∗m(1	NOUN
ejpam-3711	192	33	,	,	PUNCT
ejpam-3711	192	34	x)−	x)−	PROPN
ejpam-3711	192	35	1|	1|	NUM
ejpam-3711	192	36	+	+	CCONJ
ejpam-3711	192	37	|∆α	|∆α	PROPN
ejpam-3711	192	38	,	,	PUNCT
ejpam-3711	192	39	β	β	X
ejpam-3711	192	40	,	,	PUNCT
ejpam-3711	192	41	γ	γ	PROPN
ejpam-3711	192	42	h	h	PROPN
ejpam-3711	192	43	,	,	PUNCT
ejpam-3711	192	44	x	x	PROPN
ejpam-3711	192	45	t∗m(y	t∗m(y	PROPN
ejpam-3711	192	46	,	,	PUNCT
ejpam-3711	192	47	x)−	x)−	PROPN
ejpam-3711	192	48	x|+	x|+	PROPN
ejpam-3711	192	49	|∆α	|∆α	PROPN
ejpam-3711	192	50	,	,	PUNCT
ejpam-3711	192	51	β	β	X
ejpam-3711	192	52	,	,	PUNCT
ejpam-3711	192	53	γ	γ	PROPN
ejpam-3711	192	54	h	h	PROPN
ejpam-3711	192	55	,	,	PUNCT
ejpam-3711	192	56	x	x	NOUN
ejpam-3711	192	57	t∗m(y2	t∗m(y2	ADJ
ejpam-3711	192	58	,	,	PUNCT
ejpam-3711	192	59	x)−	x)−	PROPN
ejpam-3711	192	60	x2|	x2|	PROPN
ejpam-3711	192	61	)	)	PUNCT
ejpam-3711	192	62	,	,	PUNCT
ejpam-3711	192	63	(	(	PUNCT
ejpam-3711	192	64	14	14	NUM
ejpam-3711	192	65	)	)	PUNCT
ejpam-3711	192	66	where	where	SCONJ
ejpam-3711	192	67	mr	mr	PROPN
ejpam-3711	192	68	±(ε	±(ε	NOUN
ejpam-3711	192	69	)	)	PUNCT
ejpam-3711	192	70	=	=	SYM
ejpam-3711	192	71	max	max	X
ejpam-3711	192	72	(	(	PUNCT
ejpam-3711	192	73	ε+	ε+	X
ejpam-3711	192	74	2kr±c2	2kr±c2	NOUN
ejpam-3711	192	75	δ2	δ2	VERB
ejpam-3711	192	76	+	+	NOUN
ejpam-3711	192	77	kr±	kr±	ADJ
ejpam-3711	192	78	,	,	PUNCT
ejpam-3711	192	79	4kr±c	4kr±c	NUM
ejpam-3711	192	80	δ2	δ2	VERB
ejpam-3711	192	81	,	,	PUNCT
ejpam-3711	192	82	2kr±	2kr±	NUM
ejpam-3711	192	83	δ2	δ2	VERB
ejpam-3711	192	84	)	)	PUNCT
ejpam-3711	192	85	.	.	PUNCT
ejpam-3711	193	1	now	now	ADV
ejpam-3711	193	2	it	it	PRON
ejpam-3711	193	3	clearly	clearly	ADV
ejpam-3711	193	4	follows	follow	VERB
ejpam-3711	193	5	from	from	ADP
ejpam-3711	193	6	(	(	PUNCT
ejpam-3711	193	7	5	5	NUM
ejpam-3711	193	8	)	)	PUNCT
ejpam-3711	193	9	that	that	SCONJ
ejpam-3711	193	10	,	,	PUNCT
ejpam-3711	193	11	d∗(∆α	d∗(∆α	NOUN
ejpam-3711	193	12	,	,	PUNCT
ejpam-3711	193	13	β	β	X
ejpam-3711	193	14	,	,	PUNCT
ejpam-3711	193	15	γ	γ	PROPN
ejpam-3711	193	16	h	h	PROPN
ejpam-3711	193	17	,	,	PUNCT
ejpam-3711	193	18	x	x	SYM
ejpam-3711	193	19	tm(f	tm(f	NOUN
ejpam-3711	193	20	)	)	PUNCT
ejpam-3711	193	21	,	,	PUNCT
ejpam-3711	193	22	f	f	X
ejpam-3711	193	23	)	)	PUNCT
ejpam-3711	193	24	=	=	NOUN
ejpam-3711	194	1	sup	sup	NOUN
ejpam-3711	194	2	x∈e	x∈e	PROPN
ejpam-3711	195	1	d	d	X
ejpam-3711	195	2	(	(	PUNCT
ejpam-3711	195	3	∆α	∆α	PROPN
ejpam-3711	195	4	,	,	PUNCT
ejpam-3711	195	5	β	β	X
ejpam-3711	195	6	,	,	PUNCT
ejpam-3711	195	7	γ	γ	PROPN
ejpam-3711	195	8	h	h	PROPN
ejpam-3711	195	9	,	,	PUNCT
ejpam-3711	195	10	x	x	SYM
ejpam-3711	195	11	tm(f	tm(f	NOUN
ejpam-3711	195	12	;	;	PUNCT
ejpam-3711	195	13	x	x	X
ejpam-3711	195	14	)	)	PUNCT
ejpam-3711	195	15	,	,	PUNCT
ejpam-3711	195	16	f(x	f(x	PROPN
ejpam-3711	195	17	)	)	PUNCT
ejpam-3711	195	18	)	)	PUNCT
ejpam-3711	196	1	=	=	PUNCT
ejpam-3711	196	2	sup	sup	NOUN
ejpam-3711	196	3	x∈e	x∈e	NOUN
ejpam-3711	196	4	sup	sup	NOUN
ejpam-3711	196	5	r∈[0,1	r∈[0,1	PROPN
ejpam-3711	196	6	]	]	X
ejpam-3711	196	7	max	max	PROPN
ejpam-3711	196	8	{	{	PUNCT
ejpam-3711	196	9	∣∣∣∆α	∣∣∣∆α	PROPN
ejpam-3711	196	10	,	,	PUNCT
ejpam-3711	196	11	β	β	X
ejpam-3711	196	12	,	,	PUNCT
ejpam-3711	196	13	γ	γ	PROPN
ejpam-3711	196	14	h	h	PROPN
ejpam-3711	196	15	,	,	PUNCT
ejpam-3711	196	16	x	x	PROPN
ejpam-3711	196	17	t∗m(f	t∗m(f	NOUN
ejpam-3711	196	18	r−;x)−	r−;x)−	PROPN
ejpam-3711	196	19	f	f	PROPN
ejpam-3711	196	20	r−	r−	PROPN
ejpam-3711	196	21	∣∣∣	∣∣∣	NOUN
ejpam-3711	196	22	,	,	PUNCT
ejpam-3711	196	23	∣∣∣∆α	∣∣∣∆α	PROPN
ejpam-3711	196	24	,	,	PUNCT
ejpam-3711	196	25	β	β	X
ejpam-3711	196	26	,	,	PUNCT
ejpam-3711	196	27	γ	γ	PROPN
ejpam-3711	196	28	h	h	PROPN
ejpam-3711	196	29	,	,	PUNCT
ejpam-3711	196	30	x	x	PROPN
ejpam-3711	196	31	t∗m(f	t∗m(f	NOUN
ejpam-3711	196	32	r+;x)−	r+;x)−	NOUN
ejpam-3711	196	33	f	f	PROPN
ejpam-3711	196	34	r+(x	r+(x	PROPN
ejpam-3711	196	35	)	)	PUNCT
ejpam-3711	196	36	∣∣∣	∣∣∣	ADJ
ejpam-3711	196	37	}	}	PUNCT
ejpam-3711	196	38	.	.	PUNCT
ejpam-3711	197	1	considering	consider	VERB
ejpam-3711	197	2	(	(	PUNCT
ejpam-3711	197	3	14	14	NUM
ejpam-3711	197	4	)	)	PUNCT
ejpam-3711	197	5	with	with	ADP
ejpam-3711	197	6	the	the	DET
ejpam-3711	197	7	last	last	ADJ
ejpam-3711	197	8	equality	equality	NOUN
ejpam-3711	197	9	,	,	PUNCT
ejpam-3711	197	10	one	one	PRON
ejpam-3711	197	11	can	can	AUX
ejpam-3711	197	12	easily	easily	ADV
ejpam-3711	197	13	write	write	VERB
ejpam-3711	197	14	d∗(∆α	d∗(∆α	NOUN
ejpam-3711	197	15	,	,	PUNCT
ejpam-3711	197	16	β	β	X
ejpam-3711	197	17	,	,	PUNCT
ejpam-3711	197	18	γ	γ	PROPN
ejpam-3711	197	19	h	h	PROPN
ejpam-3711	197	20	,	,	PUNCT
ejpam-3711	197	21	x	x	SYM
ejpam-3711	197	22	tm(f	tm(f	NOUN
ejpam-3711	197	23	)	)	PUNCT
ejpam-3711	197	24	,	,	PUNCT
ejpam-3711	197	25	f	f	X
ejpam-3711	197	26	)	)	PUNCT
ejpam-3711	198	1	|σ(x)|	|σ(x)|	NOUN
ejpam-3711	198	2	5	5	NUM
ejpam-3711	198	3	sup	sup	NOUN
ejpam-3711	198	4	x∈e	x∈e	PROPN
ejpam-3711	198	5	ε	ε	PROPN
ejpam-3711	198	6	σ(x	σ(x	PROPN
ejpam-3711	198	7	)	)	PUNCT
ejpam-3711	199	1	+	+	NOUN
ejpam-3711	199	2	m(ε	m(ε	NUM
ejpam-3711	199	3	)	)	PUNCT
ejpam-3711	199	4	(	(	PUNCT
ejpam-3711	199	5	sup	sup	NOUN
ejpam-3711	199	6	x∈e	x∈e	PROPN
ejpam-3711	199	7	∣∣∣∣∣∆	∣∣∣∣∣∆	PROPN
ejpam-3711	200	1	α	α	PROPN
ejpam-3711	200	2	,	,	PUNCT
ejpam-3711	200	3	β	β	X
ejpam-3711	200	4	,	,	PUNCT
ejpam-3711	200	5	γ	γ	PROPN
ejpam-3711	200	6	h	h	PROPN
ejpam-3711	200	7	,	,	PUNCT
ejpam-3711	200	8	x	x	SYM
ejpam-3711	200	9	t∗m(1	t∗m(1	NOUN
ejpam-3711	200	10	,	,	PUNCT
ejpam-3711	200	11	x)−	x)−	PROPN
ejpam-3711	200	12	1	1	NUM
ejpam-3711	200	13	σ0(x	σ0(x	NOUN
ejpam-3711	200	14	)	)	PUNCT
ejpam-3711	200	15	∣∣∣∣∣	∣∣∣∣∣	PUNCT
ejpam-3711	201	1	+	+	CCONJ
ejpam-3711	201	2	sup	sup	NOUN
ejpam-3711	201	3	x∈e	x∈e	PROPN
ejpam-3711	201	4	∣∣∣∣∣∆	∣∣∣∣∣∆	PROPN
ejpam-3711	202	1	α	α	PROPN
ejpam-3711	202	2	,	,	PUNCT
ejpam-3711	202	3	β	β	X
ejpam-3711	202	4	,	,	PUNCT
ejpam-3711	202	5	γ	γ	PROPN
ejpam-3711	202	6	h	h	PROPN
ejpam-3711	202	7	,	,	PUNCT
ejpam-3711	202	8	x	x	PROPN
ejpam-3711	202	9	t∗m(y	t∗m(y	PROPN
ejpam-3711	202	10	,	,	PUNCT
ejpam-3711	202	11	x)−	x)−	PROPN
ejpam-3711	202	12	x	x	SYM
ejpam-3711	202	13	σ1(x	σ1(x	PROPN
ejpam-3711	202	14	)	)	PUNCT
ejpam-3711	202	15	∣∣∣∣∣+	∣∣∣∣∣+	PROPN
ejpam-3711	202	16	sup	sup	PROPN
ejpam-3711	202	17	x∈e	x∈e	PROPN
ejpam-3711	202	18	∣∣∣∣∣∆	∣∣∣∣∣∆	PROPN
ejpam-3711	203	1	α	α	PROPN
ejpam-3711	203	2	,	,	PUNCT
ejpam-3711	203	3	β	β	X
ejpam-3711	203	4	,	,	PUNCT
ejpam-3711	203	5	γ	γ	PROPN
ejpam-3711	203	6	h	h	PROPN
ejpam-3711	203	7	,	,	PUNCT
ejpam-3711	203	8	x	x	NOUN
ejpam-3711	203	9	t∗m(y2	t∗m(y2	ADJ
ejpam-3711	203	10	,	,	PUNCT
ejpam-3711	203	11	x)−	x)−	PROPN
ejpam-3711	203	12	x2	x2	PROPN
ejpam-3711	203	13	σ2(x	σ2(x	PROPN
ejpam-3711	203	14	)	)	PUNCT
ejpam-3711	203	15	∣∣∣∣∣	∣∣∣∣∣	PUNCT
ejpam-3711	203	16	)	)	PUNCT
ejpam-3711	203	17	,	,	PUNCT
ejpam-3711	203	18	where	where	SCONJ
ejpam-3711	203	19	m(ε	m(ε	NOUN
ejpam-3711	203	20	)	)	PUNCT
ejpam-3711	203	21	=	=	SYM
ejpam-3711	203	22	sup	sup	NOUN
ejpam-3711	203	23	r∈[0,1	r∈[0,1	PROPN
ejpam-3711	203	24	]	]	X
ejpam-3711	203	25	max	max	PROPN
ejpam-3711	203	26	{	{	PUNCT
ejpam-3711	203	27	mr	mr	PROPN
ejpam-3711	203	28	−(ε),mr	−(ε),mr	PROPN
ejpam-3711	203	29	+	+	PROPN
ejpam-3711	203	30	(	(	PUNCT
ejpam-3711	203	31	ε	ε	PROPN
ejpam-3711	203	32	)	)	PUNCT
ejpam-3711	203	33	}	}	PUNCT
ejpam-3711	203	34	and	and	CCONJ
ejpam-3711	203	35	σ(x	σ(x	NOUN
ejpam-3711	203	36	)	)	PUNCT
ejpam-3711	203	37	=	=	PUNCT
ejpam-3711	203	38	max{|σi(x)|	max{|σi(x)|	NOUN
ejpam-3711	203	39	:	:	PUNCT
ejpam-3711	203	40	|σi(x)|	|σi(x)|	NOUN
ejpam-3711	203	41	>	>	X
ejpam-3711	203	42	0	0	NUM
ejpam-3711	203	43	,	,	PUNCT
ejpam-3711	203	44	i	i	PRON
ejpam-3711	203	45	=	=	NOUN
ejpam-3711	203	46	0	0	NUM
ejpam-3711	203	47	,	,	PUNCT
ejpam-3711	203	48	1	1	NUM
ejpam-3711	203	49	,	,	PUNCT
ejpam-3711	203	50	2	2	NUM
ejpam-3711	203	51	}	}	PUNCT
ejpam-3711	203	52	.	.	PUNCT
ejpam-3711	204	1	therefore	therefore	ADV
ejpam-3711	204	2	,	,	PUNCT
ejpam-3711	204	3	sbn−mtm	sbn−mtm	PROPN
ejpam-3711	204	4	d∗(∆α	d∗(∆α	PROPN
ejpam-3711	204	5	,	,	PUNCT
ejpam-3711	204	6	β	β	X
ejpam-3711	204	7	,	,	PUNCT
ejpam-3711	204	8	γ	γ	PROPN
ejpam-3711	204	9	h	h	PROPN
ejpam-3711	204	10	,	,	PUNCT
ejpam-3711	204	11	x	x	SYM
ejpam-3711	204	12	tm(f	tm(f	NOUN
ejpam-3711	204	13	)	)	PUNCT
ejpam-3711	204	14	,	,	PUNCT
ejpam-3711	204	15	f	f	X
ejpam-3711	204	16	)	)	PUNCT
ejpam-3711	204	17	|σ(x)|	|σ(x)|	ADP
ejpam-3711	204	18	5	5	NUM
ejpam-3711	204	19	sbn−mtm	sbn−mtm	ADJ
ejpam-3711	204	20	sup	sup	NOUN
ejpam-3711	204	21	x∈e	x∈e	PROPN
ejpam-3711	204	22	ε	ε	PROPN
ejpam-3711	204	23	σ(x	σ(x	PROPN
ejpam-3711	204	24	)	)	PUNCT
ejpam-3711	204	25	s.	s.	PROPN
ejpam-3711	204	26	k.	k.	PROPN
ejpam-3711	204	27	paikray	paikray	PROPN
ejpam-3711	204	28	,	,	PUNCT
ejpam-3711	204	29	p.	p.	PROPN
ejpam-3711	204	30	parida	parida	PROPN
ejpam-3711	204	31	,	,	PUNCT
ejpam-3711	204	32	s.	s.	PROPN
ejpam-3711	204	33	a.	a.	PROPN
ejpam-3711	204	34	mohiuddine	mohiuddine	PROPN
ejpam-3711	204	35	/	/	SYM
ejpam-3711	204	36	eur	eur	PROPN
ejpam-3711	204	37	.	.	PUNCT
ejpam-3711	205	1	j.	j.	PROPN
ejpam-3711	205	2	pure	pure	PROPN
ejpam-3711	205	3	appl	appl	PROPN
ejpam-3711	205	4	.	.	PROPN
ejpam-3711	205	5	math	math	PROPN
ejpam-3711	205	6	,	,	PUNCT
ejpam-3711	205	7	13	13	NUM
ejpam-3711	205	8	(	(	PUNCT
ejpam-3711	205	9	5	5	NUM
ejpam-3711	205	10	)	)	PUNCT
ejpam-3711	205	11	(	(	PUNCT
ejpam-3711	205	12	2020	2020	NUM
ejpam-3711	205	13	)	)	PUNCT
ejpam-3711	205	14	,	,	PUNCT
ejpam-3711	205	15	1212	1212	NUM
ejpam-3711	205	16	-	-	SYM
ejpam-3711	205	17	1230	1230	NUM
ejpam-3711	205	18	1222	1222	NUM
ejpam-3711	205	19	+	+	SYM
ejpam-3711	205	20	m(ε	m(ε	NUM
ejpam-3711	205	21	)	)	PUNCT
ejpam-3711	205	22	(	(	PUNCT
ejpam-3711	205	23	sbn−mtm	sbn−mtm	ADJ
ejpam-3711	205	24	sup	sup	NOUN
ejpam-3711	205	25	x∈e	x∈e	PROPN
ejpam-3711	205	26	∣∣∣∣∣∆	∣∣∣∣∣∆	PROPN
ejpam-3711	206	1	α	α	NOUN
ejpam-3711	206	2	,	,	PUNCT
ejpam-3711	206	3	β	β	X
ejpam-3711	206	4	,	,	PUNCT
ejpam-3711	206	5	γ	γ	PROPN
ejpam-3711	206	6	h	h	PROPN
ejpam-3711	206	7	,	,	PUNCT
ejpam-3711	206	8	x	x	SYM
ejpam-3711	206	9	t∗m(1	t∗m(1	NOUN
ejpam-3711	206	10	,	,	PUNCT
ejpam-3711	206	11	x)−	x)−	PROPN
ejpam-3711	206	12	1	1	NUM
ejpam-3711	206	13	σ0(x	σ0(x	NOUN
ejpam-3711	206	14	)	)	PUNCT
ejpam-3711	206	15	∣∣∣∣∣	∣∣∣∣∣	PUNCT
ejpam-3711	207	1	+	+	CCONJ
ejpam-3711	207	2	sbn−mtm	sbn−mtm	ADJ
ejpam-3711	207	3	sup	sup	NOUN
ejpam-3711	207	4	x∈e	x∈e	PROPN
ejpam-3711	207	5	∣∣∣∣∣∆	∣∣∣∣∣∆	PROPN
ejpam-3711	207	6	α	α	NOUN
ejpam-3711	207	7	,	,	PUNCT
ejpam-3711	207	8	β	β	X
ejpam-3711	207	9	,	,	PUNCT
ejpam-3711	207	10	γ	γ	PROPN
ejpam-3711	207	11	h	h	PROPN
ejpam-3711	207	12	,	,	PUNCT
ejpam-3711	207	13	x	x	PROPN
ejpam-3711	207	14	t∗m(y	t∗m(y	PROPN
ejpam-3711	207	15	,	,	PUNCT
ejpam-3711	207	16	x)−	x)−	PROPN
ejpam-3711	207	17	x	x	SYM
ejpam-3711	207	18	σ1(x	σ1(x	PROPN
ejpam-3711	207	19	)	)	PUNCT
ejpam-3711	207	20	∣∣∣∣∣	∣∣∣∣∣	PUNCT
ejpam-3711	208	1	+	+	CCONJ
ejpam-3711	208	2	sbn−mtm	sbn−mtm	ADJ
ejpam-3711	208	3	sup	sup	NOUN
ejpam-3711	208	4	x∈e	x∈e	PROPN
ejpam-3711	208	5	∣∣∣∣∣∆	∣∣∣∣∣∆	PROPN
ejpam-3711	208	6	α	α	NOUN
ejpam-3711	208	7	,	,	PUNCT
ejpam-3711	208	8	β	β	X
ejpam-3711	208	9	,	,	PUNCT
ejpam-3711	208	10	γ	γ	PROPN
ejpam-3711	208	11	h	h	PROPN
ejpam-3711	208	12	,	,	PUNCT
ejpam-3711	208	13	x	x	NOUN
ejpam-3711	208	14	t∗m(y2	t∗m(y2	ADJ
ejpam-3711	208	15	,	,	PUNCT
ejpam-3711	208	16	x)−	x)−	PROPN
ejpam-3711	208	17	x2	x2	PROPN
ejpam-3711	208	18	σ2(x	σ2(x	PROPN
ejpam-3711	208	19	)	)	PUNCT
ejpam-3711	208	20	∣∣∣∣∣	∣∣∣∣∣	PUNCT
ejpam-3711	208	21	)	)	PUNCT
ejpam-3711	208	22	.	.	PUNCT
ejpam-3711	209	1	(	(	PUNCT
ejpam-3711	209	2	15	15	NUM
ejpam-3711	209	3	)	)	PUNCT
ejpam-3711	209	4	next	next	ADV
ejpam-3711	209	5	,	,	PUNCT
ejpam-3711	209	6	for	for	ADP
ejpam-3711	209	7	given	give	VERB
ejpam-3711	209	8	κ	κ	PROPN
ejpam-3711	209	9	>	>	X
ejpam-3711	209	10	0	0	NUM
ejpam-3711	209	11	,	,	PUNCT
ejpam-3711	209	12	choose	choose	VERB
ejpam-3711	209	13	ε	ε	PROPN
ejpam-3711	209	14	>	>	X
ejpam-3711	209	15	0	0	NUM
ejpam-3711	210	1	such	such	ADJ
ejpam-3711	210	2	that	that	DET
ejpam-3711	210	3	sbn−mtm	sbn−mtm	PROPN
ejpam-3711	210	4	supx∈e	supx∈e	PROPN
ejpam-3711	210	5	ε	ε	PROPN
ejpam-3711	210	6	σ(x	σ(x	PROPN
ejpam-3711	210	7	)	)	PUNCT
ejpam-3711	210	8	<	<	X
ejpam-3711	210	9	κ	κ	X
ejpam-3711	210	10	.	.	PUNCT
ejpam-3711	211	1	then	then	ADV
ejpam-3711	211	2	,	,	PUNCT
ejpam-3711	211	3	we	we	PRON
ejpam-3711	211	4	can	can	AUX
ejpam-3711	211	5	write	write	VERB
ejpam-3711	211	6	θm(x	θm(x	NUM
ejpam-3711	211	7	;	;	PUNCT
ejpam-3711	211	8	εσ	εσ	X
ejpam-3711	211	9	)	)	PUNCT
ejpam-3711	211	10	=	=	SYM
ejpam-3711	212	1	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-3711	212	2	m	m	PROPN
ejpam-3711	212	3	:	:	PUNCT
ejpam-3711	213	1	m	m	VERB
ejpam-3711	213	2	5	5	NUM
ejpam-3711	213	3	rbnan+1	rbnan+1	NOUN
ejpam-3711	213	4	and	and	CCONJ
ejpam-3711	213	5	sbn−mtm	sbn−mtm	ADJ
ejpam-3711	213	6	d∗	d∗	PROPN
ejpam-3711	213	7	(	(	PUNCT
ejpam-3711	213	8	∆α	∆α	PROPN
ejpam-3711	213	9	,	,	PUNCT
ejpam-3711	213	10	β	β	X
ejpam-3711	213	11	,	,	PUNCT
ejpam-3711	213	12	γ	γ	PROPN
ejpam-3711	213	13	h	h	PROPN
ejpam-3711	213	14	,	,	PUNCT
ejpam-3711	213	15	x	x	SYM
ejpam-3711	213	16	tm(f	tm(f	NOUN
ejpam-3711	213	17	)	)	PUNCT
ejpam-3711	213	18	,	,	PUNCT
ejpam-3711	213	19	f	f	PROPN
ejpam-3711	213	20	)	)	PUNCT
ejpam-3711	213	21	|σ(x)|	|σ(x)|	ADP
ejpam-3711	213	22			PROPN
ejpam-3711	213	23	=	=	SYM
ejpam-3711	213	24	ε′	ε′	VERB
ejpam-3711	213	25			X
ejpam-3711	213	26	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-3711	213	27	and	and	CCONJ
ejpam-3711	213	28	θi	θi	NUM
ejpam-3711	213	29	,	,	PUNCT
ejpam-3711	213	30	m(x	m(x	PROPN
ejpam-3711	213	31	,	,	PUNCT
ejpam-3711	213	32	εσ	εσ	NOUN
ejpam-3711	213	33	)	)	PUNCT
ejpam-3711	213	34	=	=	SYM
ejpam-3711	214	1	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-3711	214	2	{	{	PUNCT
ejpam-3711	214	3	m	m	NOUN
ejpam-3711	214	4	:	:	PUNCT
ejpam-3711	214	5	m	m	VERB
ejpam-3711	214	6	5	5	NUM
ejpam-3711	214	7	rbnan+1	rbnan+1	NOUN
ejpam-3711	214	8	and	and	CCONJ
ejpam-3711	214	9	sbn−mtm	sbn−mtm	ADJ
ejpam-3711	214	10	d∗	d∗	PROPN
ejpam-3711	214	11	(	(	PUNCT
ejpam-3711	214	12	∆α	∆α	PROPN
ejpam-3711	214	13	,	,	PUNCT
ejpam-3711	214	14	β	β	X
ejpam-3711	214	15	,	,	PUNCT
ejpam-3711	214	16	γ	γ	PROPN
ejpam-3711	214	17	h	h	PROPN
ejpam-3711	214	18	,	,	PUNCT
ejpam-3711	214	19	x	x	PROPN
ejpam-3711	214	20	t∗mfi(x	t∗mfi(x	PROPN
ejpam-3711	214	21	)	)	PUNCT
ejpam-3711	214	22	,	,	PUNCT
ejpam-3711	214	23	fi(x	fi(x	NUM
ejpam-3711	214	24	)	)	PUNCT
ejpam-3711	214	25	)	)	PUNCT
ejpam-3711	215	1	|σi(x)|	|σi(x)|	NOUN
ejpam-3711	215	2			PROPN
ejpam-3711	215	3	=	=	SYM
ejpam-3711	215	4	ε′	ε′	NUM
ejpam-3711	215	5	−	−	PROPN
ejpam-3711	215	6	ε	ε	PROPN
ejpam-3711	215	7	σ(x	σ(x	PROPN
ejpam-3711	215	8	)	)	PUNCT
ejpam-3711	215	9	3mr	3mr	NOUN
ejpam-3711	215	10	±	±	NOUN
ejpam-3711	215	11	}	}	PUNCT
ejpam-3711	215	12	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-3711	215	13	,	,	PUNCT
ejpam-3711	215	14	we	we	PRON
ejpam-3711	215	15	easily	easily	ADV
ejpam-3711	215	16	obtain	obtain	VERB
ejpam-3711	215	17	from	from	ADP
ejpam-3711	215	18	(	(	PUNCT
ejpam-3711	215	19	15	15	NUM
ejpam-3711	215	20	)	)	PUNCT
ejpam-3711	215	21	that	that	PRON
ejpam-3711	215	22	θm(x	θm(x	PUNCT
ejpam-3711	215	23	,	,	PUNCT
ejpam-3711	215	24	εσ(x	εσ(x	NOUN
ejpam-3711	215	25	)	)	PUNCT
ejpam-3711	215	26	)	)	PUNCT
ejpam-3711	215	27	5	5	NUM
ejpam-3711	215	28	2∑	2∑	NUM
ejpam-3711	215	29	i=0	i=0	PROPN
ejpam-3711	215	30	θi	θi	X
ejpam-3711	215	31	,	,	PUNCT
ejpam-3711	215	32	m(x	m(x	PROPN
ejpam-3711	215	33	,	,	PUNCT
ejpam-3711	215	34	εσ(x	εσ(x	NOUN
ejpam-3711	215	35	)	)	PUNCT
ejpam-3711	215	36	)	)	PUNCT
ejpam-3711	215	37	.	.	PUNCT
ejpam-3711	216	1	thus	thus	ADV
ejpam-3711	216	2	,	,	PUNCT
ejpam-3711	216	3	we	we	PRON
ejpam-3711	216	4	fairly	fairly	ADV
ejpam-3711	216	5	have	have	VERB
ejpam-3711	216	6	‖θm(x	‖θm(x	NOUN
ejpam-3711	216	7	,	,	PUNCT
ejpam-3711	216	8	εσ(x))‖	εσ(x))‖	NOUN
ejpam-3711	216	9	rbnan+1	rbnan+1	NOUN
ejpam-3711	216	10	5	5	NUM
ejpam-3711	216	11	2∑	2∑	NUM
ejpam-3711	216	12	i=0	i=0	PROPN
ejpam-3711	216	13	‖θi	‖θi	PROPN
ejpam-3711	216	14	,	,	PUNCT
ejpam-3711	216	15	m(x	m(x	PROPN
ejpam-3711	216	16	,	,	PUNCT
ejpam-3711	216	17	εσ(x))‖	εσ(x))‖	NOUN
ejpam-3711	216	18	rbnan+1	rbnan+1	NOUN
ejpam-3711	216	19	.	.	PUNCT
ejpam-3711	217	1	(	(	PUNCT
ejpam-3711	217	2	16	16	NUM
ejpam-3711	217	3	)	)	PUNCT
ejpam-3711	217	4	consequently	consequently	ADV
ejpam-3711	217	5	,	,	PUNCT
ejpam-3711	217	6	by	by	ADP
ejpam-3711	217	7	definition	definition	NOUN
ejpam-3711	217	8	1(d2	1(d2	NUM
ejpam-3711	217	9	)	)	PUNCT
ejpam-3711	217	10	and	and	CCONJ
ejpam-3711	217	11	under	under	ADP
ejpam-3711	217	12	the	the	DET
ejpam-3711	217	13	above	above	ADJ
ejpam-3711	217	14	assumption	assumption	NOUN
ejpam-3711	217	15	for	for	ADP
ejpam-3711	217	16	the	the	DET
ejpam-3711	217	17	implication	implication	NOUN
ejpam-3711	217	18	in	in	ADP
ejpam-3711	217	19	(	(	PUNCT
ejpam-3711	217	20	6	6	NUM
ejpam-3711	217	21	)	)	PUNCT
ejpam-3711	217	22	,	,	PUNCT
ejpam-3711	217	23	the	the	DET
ejpam-3711	217	24	right	right	ADJ
ejpam-3711	217	25	-	-	PUNCT
ejpam-3711	217	26	hand	hand	NOUN
ejpam-3711	217	27	side	side	NOUN
ejpam-3711	217	28	of	of	ADP
ejpam-3711	217	29	(	(	PUNCT
ejpam-3711	217	30	16	16	NUM
ejpam-3711	217	31	)	)	PUNCT
ejpam-3711	217	32	seems	seem	VERB
ejpam-3711	217	33	tend	tend	ADJ
ejpam-3711	217	34	to	to	PART
ejpam-3711	217	35	zero	zero	NUM
ejpam-3711	217	36	as	as	ADP
ejpam-3711	217	37	n→∞.	n→∞.	NUM
ejpam-3711	217	38	we	we	PRON
ejpam-3711	217	39	thus	thus	ADV
ejpam-3711	217	40	get	get	VERB
ejpam-3711	217	41	lim	lim	PROPN
ejpam-3711	217	42	n→∞	n→∞	NUM
ejpam-3711	217	43	‖θm(x	‖θm(x	PUNCT
ejpam-3711	217	44	,	,	PUNCT
ejpam-3711	217	45	εσ)‖	εσ)‖	VERB
ejpam-3711	217	46	rbnan+1	rbnan+1	NOUN
ejpam-3711	217	47	=	=	SYM
ejpam-3711	217	48	0	0	PUNCT
ejpam-3711	217	49	(	(	PUNCT
ejpam-3711	217	50	ε	ε	X
ejpam-3711	217	51	>	>	X
ejpam-3711	217	52	0	0	NUM
ejpam-3711	217	53	)	)	PUNCT
ejpam-3711	217	54	.	.	PUNCT
ejpam-3711	218	1	hence	hence	ADV
ejpam-3711	218	2	,	,	PUNCT
ejpam-3711	218	3	the	the	DET
ejpam-3711	218	4	implication	implication	NOUN
ejpam-3711	218	5	in	in	ADP
ejpam-3711	218	6	(	(	PUNCT
ejpam-3711	218	7	7	7	NUM
ejpam-3711	218	8	)	)	PUNCT
ejpam-3711	218	9	is	be	AUX
ejpam-3711	218	10	fairly	fairly	ADV
ejpam-3711	218	11	true	true	ADJ
ejpam-3711	218	12	.	.	PUNCT
ejpam-3711	219	1	this	this	PRON
ejpam-3711	219	2	completes	complete	VERB
ejpam-3711	219	3	the	the	DET
ejpam-3711	219	4	proof	proof	NOUN
ejpam-3711	219	5	of	of	ADP
ejpam-3711	219	6	the	the	DET
ejpam-3711	219	7	theorem	theorem	NOUN
ejpam-3711	219	8	.	.	PUNCT
ejpam-3711	220	1	s.	s.	PROPN
ejpam-3711	220	2	k.	k.	PROPN
ejpam-3711	220	3	paikray	paikray	PROPN
ejpam-3711	220	4	,	,	PUNCT
ejpam-3711	220	5	p.	p.	PROPN
ejpam-3711	220	6	parida	parida	PROPN
ejpam-3711	220	7	,	,	PUNCT
ejpam-3711	220	8	s.	s.	PROPN
ejpam-3711	220	9	a.	a.	PROPN
ejpam-3711	220	10	mohiuddine	mohiuddine	PROPN
ejpam-3711	220	11	/	/	SYM
ejpam-3711	220	12	eur	eur	PROPN
ejpam-3711	220	13	.	.	PUNCT
ejpam-3711	221	1	j.	j.	PROPN
ejpam-3711	221	2	pure	pure	PROPN
ejpam-3711	221	3	appl	appl	PROPN
ejpam-3711	221	4	.	.	PROPN
ejpam-3711	221	5	math	math	PROPN
ejpam-3711	221	6	,	,	PUNCT
ejpam-3711	221	7	13	13	NUM
ejpam-3711	221	8	(	(	PUNCT
ejpam-3711	221	9	5	5	NUM
ejpam-3711	221	10	)	)	PUNCT
ejpam-3711	221	11	(	(	PUNCT
ejpam-3711	221	12	2020	2020	NUM
ejpam-3711	221	13	)	)	PUNCT
ejpam-3711	221	14	,	,	PUNCT
ejpam-3711	221	15	1212	1212	NUM
ejpam-3711	221	16	-	-	SYM
ejpam-3711	221	17	1230	1230	NUM
ejpam-3711	221	18	1223	1223	NUM
ejpam-3711	221	19	5	5	NUM
ejpam-3711	221	20	.	.	PUNCT
ejpam-3711	221	21	fuzzy	fuzzy	ADJ
ejpam-3711	221	22	rate	rate	NOUN
ejpam-3711	221	23	of	of	ADP
ejpam-3711	221	24	relatively	relatively	ADV
ejpam-3711	221	25	eqiu	eqiu	NOUN
ejpam-3711	221	26	-	-	PUNCT
ejpam-3711	221	27	statistical	statistical	ADJ
ejpam-3711	221	28	convergence	convergence	NOUN
ejpam-3711	221	29	we	we	PRON
ejpam-3711	221	30	intend	intend	VERB
ejpam-3711	221	31	to	to	PART
ejpam-3711	221	32	investigate	investigate	VERB
ejpam-3711	221	33	here	here	ADV
ejpam-3711	221	34	the	the	DET
ejpam-3711	221	35	fuzzy	fuzzy	ADJ
ejpam-3711	221	36	rate	rate	NOUN
ejpam-3711	221	37	of	of	ADP
ejpam-3711	221	38	the	the	DET
ejpam-3711	221	39	relatively	relatively	ADV
ejpam-3711	221	40	equi	equi	NOUN
ejpam-3711	221	41	-	-	PUNCT
ejpam-3711	221	42	statistical	statistical	ADJ
ejpam-3711	221	43	convergence	convergence	NOUN
ejpam-3711	221	44	of	of	ADP
ejpam-3711	221	45	a	a	DET
ejpam-3711	221	46	sequence	sequence	NOUN
ejpam-3711	221	47	of	of	ADP
ejpam-3711	221	48	fuzzy	fuzzy	ADJ
ejpam-3711	221	49	positive	positive	ADJ
ejpam-3711	221	50	linear	linear	NOUN
ejpam-3711	221	51	operators	operator	NOUN
ejpam-3711	221	52	defined	define	VERB
ejpam-3711	221	53	from	from	ADP
ejpam-3711	221	54	cf	cf	NOUN
ejpam-3711	221	55	(	(	PUNCT
ejpam-3711	221	56	e	e	NOUN
ejpam-3711	221	57	)	)	PUNCT
ejpam-3711	221	58	into	into	ADP
ejpam-3711	221	59	itself	itself	PRON
ejpam-3711	221	60	based	base	VERB
ejpam-3711	221	61	on	on	ADP
ejpam-3711	221	62	the	the	DET
ejpam-3711	221	63	fuzzy	fuzzy	ADJ
ejpam-3711	221	64	modulus	modulus	NOUN
ejpam-3711	221	65	of	of	ADP
ejpam-3711	221	66	continuity	continuity	NOUN
ejpam-3711	221	67	.	.	PUNCT
ejpam-3711	222	1	definition	definition	NOUN
ejpam-3711	222	2	2	2	NUM
ejpam-3711	222	3	.	.	PUNCT
ejpam-3711	223	1	let	let	VERB
ejpam-3711	223	2	(	(	PUNCT
ejpam-3711	223	3	an	an	X
ejpam-3711	223	4	)	)	PUNCT
ejpam-3711	223	5	and	and	CCONJ
ejpam-3711	223	6	(	(	PUNCT
ejpam-3711	223	7	bn	bn	X
ejpam-3711	223	8	)	)	PUNCT
ejpam-3711	223	9	be	be	AUX
ejpam-3711	223	10	sequences	sequence	NOUN
ejpam-3711	223	11	of	of	ADP
ejpam-3711	223	12	non	non	ADJ
ejpam-3711	223	13	-	-	ADJ
ejpam-3711	223	14	negative	negative	ADJ
ejpam-3711	223	15	integers	integer	NOUN
ejpam-3711	223	16	,	,	PUNCT
ejpam-3711	223	17	and	and	CCONJ
ejpam-3711	223	18	also	also	ADV
ejpam-3711	223	19	let	let	VERB
ejpam-3711	223	20	(	(	PUNCT
ejpam-3711	223	21	un	un	VERB
ejpam-3711	223	22	)	)	PUNCT
ejpam-3711	223	23	be	be	AUX
ejpam-3711	223	24	a	a	DET
ejpam-3711	223	25	positive	positive	ADJ
ejpam-3711	223	26	non	non	ADJ
ejpam-3711	223	27	-	-	ADJ
ejpam-3711	223	28	increasing	increasing	ADJ
ejpam-3711	223	29	sequence	sequence	NOUN
ejpam-3711	223	30	.	.	PUNCT
ejpam-3711	224	1	a	a	DET
ejpam-3711	224	2	fuzzy	fuzzy	ADJ
ejpam-3711	224	3	number	number	NOUN
ejpam-3711	224	4	valued	value	VERB
ejpam-3711	224	5	sequence	sequence	NOUN
ejpam-3711	224	6	(	(	PUNCT
ejpam-3711	224	7	fn	fn	NOUN
ejpam-3711	224	8	)	)	PUNCT
ejpam-3711	224	9	of	of	ADP
ejpam-3711	224	10	functions	function	NOUN
ejpam-3711	224	11	is	be	AUX
ejpam-3711	224	12	relatively	relatively	ADV
ejpam-3711	224	13	λn	λn	NOUN
ejpam-3711	224	14	-	-	PUNCT
ejpam-3711	224	15	equi	equi	NOUN
ejpam-3711	224	16	-	-	PUNCT
ejpam-3711	224	17	statistical	statistical	ADJ
ejpam-3711	224	18	convergent	convergent	NOUN
ejpam-3711	224	19	to	to	ADP
ejpam-3711	224	20	a	a	DET
ejpam-3711	224	21	fuzzy	fuzzy	ADJ
ejpam-3711	224	22	number	number	NOUN
ejpam-3711	224	23	valued	value	VERB
ejpam-3711	224	24	function	function	NOUN
ejpam-3711	224	25	f	f	PROPN
ejpam-3711	224	26	on	on	ADP
ejpam-3711	224	27	e	e	PROPN
ejpam-3711	224	28	with	with	ADP
ejpam-3711	224	29	rate	rate	NOUN
ejpam-3711	224	30	o(un	o(un	NUM
ejpam-3711	224	31	)	)	PUNCT
ejpam-3711	224	32	,	,	PUNCT
ejpam-3711	224	33	if	if	SCONJ
ejpam-3711	224	34	for	for	ADP
ejpam-3711	224	35	every	every	DET
ejpam-3711	224	36	ε	ε	PROPN
ejpam-3711	224	37	>	>	X
ejpam-3711	224	38	0	0	PROPN
ejpam-3711	224	39	,	,	PUNCT
ejpam-3711	224	40	lim	lim	PROPN
ejpam-3711	224	41	n→∞	n→∞	NUM
ejpam-3711	224	42	υn(x	υn(x	NUM
ejpam-3711	224	43	;	;	PUNCT
ejpam-3711	224	44	εσ	εσ	X
ejpam-3711	224	45	)	)	PUNCT
ejpam-3711	224	46	unr	unr	PROPN
ejpam-3711	224	47	bn	bn	X
ejpam-3711	224	48	an+1	an+1	NOUN
ejpam-3711	224	49	=	=	SYM
ejpam-3711	224	50	0	0	X
ejpam-3711	224	51	uniformly	uniformly	ADV
ejpam-3711	224	52	relatively	relatively	ADV
ejpam-3711	224	53	with	with	ADP
ejpam-3711	224	54	respect	respect	NOUN
ejpam-3711	224	55	to	to	ADP
ejpam-3711	224	56	x	x	SYM
ejpam-3711	224	57	∈	∈	PROPN
ejpam-3711	224	58	e	e	NOUN
ejpam-3711	224	59	or	or	CCONJ
ejpam-3711	224	60	,	,	PUNCT
ejpam-3711	224	61	otherwise	otherwise	ADV
ejpam-3711	224	62	if	if	SCONJ
ejpam-3711	224	63	lim	lim	PROPN
ejpam-3711	224	64	n→∞	n→∞	NUM
ejpam-3711	224	65	‖υn(x	‖υn(x	PROPN
ejpam-3711	224	66	;	;	PUNCT
ejpam-3711	224	67	εσ)‖cf	εσ)‖cf	PROPN
ejpam-3711	224	68	[	[	X
ejpam-3711	224	69	0,1	0,1	NUM
ejpam-3711	224	70	]	]	X
ejpam-3711	224	71	unr	unr	NUM
ejpam-3711	224	72	bn	bn	X
ejpam-3711	224	73	an+1	an+1	NOUN
ejpam-3711	224	74	=	=	SYM
ejpam-3711	224	75	0	0	PROPN
ejpam-3711	224	76	,	,	PUNCT
ejpam-3711	224	77	where	where	SCONJ
ejpam-3711	224	78	υn(x	υn(x	NUM
ejpam-3711	224	79	,	,	PUNCT
ejpam-3711	224	80	εσ	εσ	NOUN
ejpam-3711	224	81	)	)	PUNCT
ejpam-3711	224	82	=	=	SYM
ejpam-3711	225	1	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-3711	225	2	m	m	PROPN
ejpam-3711	225	3	:	:	PUNCT
ejpam-3711	226	1	m	m	VERB
ejpam-3711	226	2	5	5	NUM
ejpam-3711	226	3	rbnan+1	rbnan+1	NOUN
ejpam-3711	226	4	and	and	CCONJ
ejpam-3711	226	5	sbn−mtm	sbn−mtm	ADJ
ejpam-3711	226	6	d∗	d∗	NOUN
ejpam-3711	226	7	(	(	PUNCT
ejpam-3711	226	8	∆α	∆α	PROPN
ejpam-3711	226	9	,	,	PUNCT
ejpam-3711	226	10	β	β	X
ejpam-3711	226	11	,	,	PUNCT
ejpam-3711	226	12	γ	γ	PROPN
ejpam-3711	226	13	h	h	PROPN
ejpam-3711	226	14	,	,	PUNCT
ejpam-3711	226	15	x	x	X
ejpam-3711	226	16	fm(x	fm(x	NUM
ejpam-3711	226	17	)	)	PUNCT
ejpam-3711	226	18	,	,	PUNCT
ejpam-3711	226	19	f(x	f(x	PROPN
ejpam-3711	226	20	)	)	PUNCT
ejpam-3711	226	21	)	)	PUNCT
ejpam-3711	227	1	|σ(x)|	|σ(x)|	PROPN
ejpam-3711	227	2	=	=	SYM
ejpam-3711	227	3	ε	ε	PROPN
ejpam-3711	227	4			PROPN
ejpam-3711	227	5	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-3711	227	6	.	.	PUNCT
ejpam-3711	228	1	here	here	ADV
ejpam-3711	228	2	,	,	PUNCT
ejpam-3711	228	3	we	we	PRON
ejpam-3711	228	4	write	write	VERB
ejpam-3711	228	5	strwequi(∆	strwequi(∆	PROPN
ejpam-3711	228	6	α	α	NOUN
ejpam-3711	228	7	,	,	PUNCT
ejpam-3711	228	8	β	β	X
ejpam-3711	228	9	,	,	PUNCT
ejpam-3711	228	10	γ	γ	PROPN
ejpam-3711	228	11	h	h	PROPN
ejpam-3711	228	12	,	,	PUNCT
ejpam-3711	228	13	x	x	X
ejpam-3711	228	14	)	)	PUNCT
ejpam-3711	228	15	d∗	d∗	PROPN
ejpam-3711	228	16	(	(	PUNCT
ejpam-3711	228	17	fn(x	fn(x	NOUN
ejpam-3711	228	18	)	)	PUNCT
ejpam-3711	228	19	,	,	PUNCT
ejpam-3711	228	20	f(x	f(x	PROPN
ejpam-3711	228	21	)	)	PUNCT
ejpam-3711	228	22	)	)	PUNCT
ejpam-3711	229	1	=	=	PUNCT
ejpam-3711	229	2	o(un	o(un	NUM
ejpam-3711	229	3	)	)	PUNCT
ejpam-3711	229	4	on	on	ADP
ejpam-3711	229	5	(	(	PUNCT
ejpam-3711	229	6	e;σ	e;σ	NUM
ejpam-3711	229	7	)	)	PUNCT
ejpam-3711	229	8	.	.	PUNCT
ejpam-3711	230	1	we	we	PRON
ejpam-3711	230	2	now	now	ADV
ejpam-3711	230	3	need	need	VERB
ejpam-3711	230	4	to	to	PART
ejpam-3711	230	5	prove	prove	VERB
ejpam-3711	230	6	the	the	DET
ejpam-3711	230	7	following	follow	VERB
ejpam-3711	230	8	lemma	lemma	PROPN
ejpam-3711	230	9	.	.	PUNCT
ejpam-3711	231	1	lemma	lemma	PROPN
ejpam-3711	231	2	2	2	X
ejpam-3711	231	3	.	.	PUNCT
ejpam-3711	232	1	let	let	VERB
ejpam-3711	232	2	(	(	PUNCT
ejpam-3711	232	3	un	un	PROPN
ejpam-3711	232	4	)	)	PUNCT
ejpam-3711	232	5	and	and	CCONJ
ejpam-3711	232	6	(	(	PUNCT
ejpam-3711	232	7	vn	vn	AUX
ejpam-3711	232	8	)	)	PUNCT
ejpam-3711	232	9	be	be	VERB
ejpam-3711	232	10	two	two	NUM
ejpam-3711	232	11	positive	positive	ADJ
ejpam-3711	232	12	non	non	ADJ
ejpam-3711	232	13	-	-	ADJ
ejpam-3711	232	14	increasing	increase	VERB
ejpam-3711	232	15	sequences	sequence	NOUN
ejpam-3711	232	16	.	.	PUNCT
ejpam-3711	233	1	suppose	suppose	VERB
ejpam-3711	233	2	the	the	DET
ejpam-3711	233	3	fuzzy	fuzzy	ADJ
ejpam-3711	233	4	valued	value	VERB
ejpam-3711	233	5	sequence	sequence	NOUN
ejpam-3711	233	6	of	of	ADP
ejpam-3711	233	7	functions	function	NOUN
ejpam-3711	233	8	(	(	PUNCT
ejpam-3711	233	9	fn	fn	NOUN
ejpam-3711	233	10	)	)	PUNCT
ejpam-3711	233	11	and	and	CCONJ
ejpam-3711	233	12	(	(	PUNCT
ejpam-3711	233	13	gn	gn	PROPN
ejpam-3711	233	14	)	)	PUNCT
ejpam-3711	233	15	∈	∈	PROPN
ejpam-3711	233	16	cf	cf	NOUN
ejpam-3711	233	17	(	(	PUNCT
ejpam-3711	233	18	e	e	NOUN
ejpam-3711	233	19	)	)	PUNCT
ejpam-3711	233	20	satisfy	satisfy	VERB
ejpam-3711	233	21	the	the	DET
ejpam-3711	233	22	conditions	condition	NOUN
ejpam-3711	233	23	:	:	PUNCT
ejpam-3711	233	24	strwequi(∆	strwequi(∆	NUM
ejpam-3711	233	25	α	α	NOUN
ejpam-3711	233	26	,	,	PUNCT
ejpam-3711	233	27	β	β	X
ejpam-3711	233	28	,	,	PUNCT
ejpam-3711	233	29	γ	γ	PROPN
ejpam-3711	233	30	h	h	PROPN
ejpam-3711	233	31	,	,	PUNCT
ejpam-3711	233	32	x	x	X
ejpam-3711	233	33	)	)	PUNCT
ejpam-3711	233	34	d∗	d∗	PROPN
ejpam-3711	233	35	(	(	PUNCT
ejpam-3711	233	36	fn(x	fn(x	NOUN
ejpam-3711	233	37	)	)	PUNCT
ejpam-3711	233	38	,	,	PUNCT
ejpam-3711	233	39	f(x	f(x	PROPN
ejpam-3711	233	40	)	)	PUNCT
ejpam-3711	233	41	)	)	PUNCT
ejpam-3711	234	1	=	=	PUNCT
ejpam-3711	234	2	o(un	o(un	NUM
ejpam-3711	234	3	)	)	PUNCT
ejpam-3711	234	4	on	on	ADP
ejpam-3711	234	5	(	(	PUNCT
ejpam-3711	234	6	e;σ	e;σ	NUM
ejpam-3711	234	7	)	)	PUNCT
ejpam-3711	234	8	.	.	PUNCT
ejpam-3711	235	1	and	and	CCONJ
ejpam-3711	235	2	strwequi(∆	strwequi(∆	PRON
ejpam-3711	235	3	α	α	NOUN
ejpam-3711	235	4	,	,	PUNCT
ejpam-3711	235	5	β	β	X
ejpam-3711	235	6	,	,	PUNCT
ejpam-3711	235	7	γ	γ	PROPN
ejpam-3711	235	8	h	h	PROPN
ejpam-3711	235	9	,	,	PUNCT
ejpam-3711	235	10	x	x	X
ejpam-3711	235	11	)	)	PUNCT
ejpam-3711	235	12	d∗	d∗	PROPN
ejpam-3711	235	13	(	(	PUNCT
ejpam-3711	235	14	gn(x	gn(x	NUM
ejpam-3711	235	15	)	)	PUNCT
ejpam-3711	235	16	,	,	PUNCT
ejpam-3711	235	17	g(x	g(x	NOUN
ejpam-3711	235	18	)	)	PUNCT
ejpam-3711	235	19	)	)	PUNCT
ejpam-3711	236	1	=	=	SYM
ejpam-3711	236	2	o(vn	o(vn	PROPN
ejpam-3711	236	3	)	)	PUNCT
ejpam-3711	236	4	on	on	ADP
ejpam-3711	236	5	(	(	PUNCT
ejpam-3711	236	6	e;σ1	e;σ1	NOUN
ejpam-3711	236	7	)	)	PUNCT
ejpam-3711	236	8	,	,	PUNCT
ejpam-3711	236	9	where	where	SCONJ
ejpam-3711	236	10	σ0	σ0	PROPN
ejpam-3711	236	11	>	>	X
ejpam-3711	236	12	0	0	PUNCT
ejpam-3711	236	13	and	and	CCONJ
ejpam-3711	236	14	σ1	σ1	PROPN
ejpam-3711	236	15	>	>	X
ejpam-3711	236	16	0	0	NUM
ejpam-3711	236	17	;	;	PUNCT
ejpam-3711	236	18	then	then	ADV
ejpam-3711	236	19	all	all	DET
ejpam-3711	236	20	the	the	DET
ejpam-3711	236	21	following	follow	VERB
ejpam-3711	236	22	assertions	assertion	NOUN
ejpam-3711	236	23	are	be	AUX
ejpam-3711	236	24	true	true	ADJ
ejpam-3711	236	25	:	:	PUNCT
ejpam-3711	236	26	(	(	PUNCT
ejpam-3711	236	27	i	i	NOUN
ejpam-3711	236	28	)	)	PUNCT
ejpam-3711	236	29	strwequi(∆	strwequi(∆	PROPN
ejpam-3711	236	30	α	α	NOUN
ejpam-3711	236	31	,	,	PUNCT
ejpam-3711	236	32	β	β	X
ejpam-3711	236	33	,	,	PUNCT
ejpam-3711	236	34	γ	γ	PROPN
ejpam-3711	236	35	h	h	PROPN
ejpam-3711	236	36	,	,	PUNCT
ejpam-3711	236	37	x	x	X
ejpam-3711	236	38	)	)	PUNCT
ejpam-3711	236	39	d∗	d∗	PROPN
ejpam-3711	236	40	(	(	PUNCT
ejpam-3711	236	41	fn(x	fn(x	X
ejpam-3711	236	42	)	)	PUNCT
ejpam-3711	236	43	+	+	CCONJ
ejpam-3711	236	44	gn(x	gn(x	X
ejpam-3711	236	45	)	)	PUNCT
ejpam-3711	236	46	,	,	PUNCT
ejpam-3711	236	47	f(x	f(x	PROPN
ejpam-3711	236	48	)	)	PUNCT
ejpam-3711	237	1	+	+	CCONJ
ejpam-3711	237	2	g(x	g(x	NOUN
ejpam-3711	237	3	)	)	PUNCT
ejpam-3711	237	4	)	)	PUNCT
ejpam-3711	238	1	=	=	SYM
ejpam-3711	238	2	o(wn	o(wn	NOUN
ejpam-3711	238	3	)	)	PUNCT
ejpam-3711	238	4	on	on	ADP
ejpam-3711	238	5	(	(	PUNCT
ejpam-3711	238	6	e	e	NOUN
ejpam-3711	238	7	;	;	PUNCT
ejpam-3711	238	8	max{σ0	max{σ0	NUM
ejpam-3711	238	9	,	,	PUNCT
ejpam-3711	238	10	σ1	σ1	NOUN
ejpam-3711	238	11	}	}	PUNCT
ejpam-3711	238	12	)	)	PUNCT
ejpam-3711	238	13	;	;	PUNCT
ejpam-3711	238	14	(	(	PUNCT
ejpam-3711	238	15	ii	ii	NOUN
ejpam-3711	238	16	)	)	PUNCT
ejpam-3711	238	17	strwequi(∆	strwequi(∆	PROPN
ejpam-3711	238	18	α	α	NOUN
ejpam-3711	238	19	,	,	PUNCT
ejpam-3711	238	20	β	β	X
ejpam-3711	238	21	,	,	PUNCT
ejpam-3711	238	22	γ	γ	PROPN
ejpam-3711	238	23	h	h	PROPN
ejpam-3711	238	24	,	,	PUNCT
ejpam-3711	238	25	x	x	X
ejpam-3711	238	26	)	)	PUNCT
ejpam-3711	238	27	d∗	d∗	PROPN
ejpam-3711	238	28	(	(	PUNCT
ejpam-3711	238	29	fn(x	fn(x	NOUN
ejpam-3711	238	30	)	)	PUNCT
ejpam-3711	238	31	,	,	PUNCT
ejpam-3711	238	32	f(x))d∗	f(x))d∗	X
ejpam-3711	238	33	(	(	PUNCT
ejpam-3711	238	34	gn(x	gn(x	NUM
ejpam-3711	238	35	)	)	PUNCT
ejpam-3711	238	36	,	,	PUNCT
ejpam-3711	238	37	g(x	g(x	NOUN
ejpam-3711	238	38	)	)	PUNCT
ejpam-3711	238	39	)	)	PUNCT
ejpam-3711	239	1	=	=	SYM
ejpam-3711	239	2	o(unvn	o(unvn	NOUN
ejpam-3711	239	3	)	)	PUNCT
ejpam-3711	239	4	on	on	ADP
ejpam-3711	239	5	(	(	PUNCT
ejpam-3711	239	6	e	e	NOUN
ejpam-3711	239	7	;	;	PUNCT
ejpam-3711	239	8	{	{	PUNCT
ejpam-3711	239	9	σ0	σ0	PROPN
ejpam-3711	239	10	,	,	PUNCT
ejpam-3711	239	11	σ1	σ1	PROPN
ejpam-3711	239	12	}	}	PUNCT
ejpam-3711	239	13	)	)	PUNCT
ejpam-3711	239	14	;	;	PUNCT
ejpam-3711	239	15	(	(	PUNCT
ejpam-3711	239	16	iii	iii	X
ejpam-3711	239	17	)	)	PUNCT
ejpam-3711	239	18	strwequi(∆	strwequi(∆	PROPN
ejpam-3711	239	19	α	α	NOUN
ejpam-3711	239	20	,	,	PUNCT
ejpam-3711	239	21	β	β	X
ejpam-3711	239	22	,	,	PUNCT
ejpam-3711	239	23	γ	γ	PROPN
ejpam-3711	239	24	h	h	PROPN
ejpam-3711	239	25	,	,	PUNCT
ejpam-3711	239	26	x	x	X
ejpam-3711	239	27	)	)	PUNCT
ejpam-3711	239	28	µd∗	µd∗	NOUN
ejpam-3711	239	29	(	(	PUNCT
ejpam-3711	239	30	fn(x	fn(x	X
ejpam-3711	239	31	)	)	PUNCT
ejpam-3711	239	32	,	,	PUNCT
ejpam-3711	239	33	f(x	f(x	PROPN
ejpam-3711	239	34	)	)	PUNCT
ejpam-3711	239	35	)	)	PUNCT
ejpam-3711	240	1	=	=	PUNCT
ejpam-3711	240	2	o(un	o(un	NUM
ejpam-3711	240	3	)	)	PUNCT
ejpam-3711	240	4	on	on	ADP
ejpam-3711	240	5	(	(	PUNCT
ejpam-3711	240	6	e;σ0	e;σ0	NOUN
ejpam-3711	240	7	)	)	PUNCT
ejpam-3711	240	8	,	,	PUNCT
ejpam-3711	240	9	for	for	ADP
ejpam-3711	240	10	any	any	DET
ejpam-3711	240	11	scalar	scalar	ADJ
ejpam-3711	240	12	µ	µ	NOUN
ejpam-3711	240	13	;	;	PUNCT
ejpam-3711	240	14	s.	s.	PROPN
ejpam-3711	240	15	k.	k.	PROPN
ejpam-3711	240	16	paikray	paikray	PROPN
ejpam-3711	240	17	,	,	PUNCT
ejpam-3711	240	18	p.	p.	PROPN
ejpam-3711	240	19	parida	parida	PROPN
ejpam-3711	240	20	,	,	PUNCT
ejpam-3711	240	21	s.	s.	PROPN
ejpam-3711	240	22	a.	a.	PROPN
ejpam-3711	240	23	mohiuddine	mohiuddine	PROPN
ejpam-3711	240	24	/	/	SYM
ejpam-3711	240	25	eur	eur	PROPN
ejpam-3711	240	26	.	.	PUNCT
ejpam-3711	241	1	j.	j.	PROPN
ejpam-3711	241	2	pure	pure	PROPN
ejpam-3711	241	3	appl	appl	PROPN
ejpam-3711	241	4	.	.	PROPN
ejpam-3711	241	5	math	math	PROPN
ejpam-3711	241	6	,	,	PUNCT
ejpam-3711	241	7	13	13	NUM
ejpam-3711	241	8	(	(	PUNCT
ejpam-3711	241	9	5	5	NUM
ejpam-3711	241	10	)	)	PUNCT
ejpam-3711	241	11	(	(	PUNCT
ejpam-3711	241	12	2020	2020	NUM
ejpam-3711	241	13	)	)	PUNCT
ejpam-3711	241	14	,	,	PUNCT
ejpam-3711	241	15	1212	1212	NUM
ejpam-3711	241	16	-	-	SYM
ejpam-3711	241	17	1230	1230	NUM
ejpam-3711	241	18	1224	1224	NUM
ejpam-3711	241	19	(	(	PUNCT
ejpam-3711	241	20	iv	iv	X
ejpam-3711	241	21	)	)	PUNCT
ejpam-3711	241	22	strwequi(∆	strwequi(∆	PROPN
ejpam-3711	241	23	α	α	NOUN
ejpam-3711	241	24	,	,	PUNCT
ejpam-3711	241	25	β	β	X
ejpam-3711	241	26	,	,	PUNCT
ejpam-3711	241	27	γ	γ	PROPN
ejpam-3711	241	28	h	h	PROPN
ejpam-3711	241	29	,	,	PUNCT
ejpam-3711	241	30	x	x	X
ejpam-3711	241	31	)	)	PUNCT
ejpam-3711	241	32	{	{	PUNCT
ejpam-3711	241	33	d∗	d∗	PROPN
ejpam-3711	241	34	(	(	PUNCT
ejpam-3711	241	35	fn(x	fn(x	NOUN
ejpam-3711	241	36	)	)	PUNCT
ejpam-3711	241	37	,	,	PUNCT
ejpam-3711	241	38	f(x	f(x	PROPN
ejpam-3711	241	39	)	)	PUNCT
ejpam-3711	241	40	)	)	PUNCT
ejpam-3711	241	41	}	}	PUNCT
ejpam-3711	241	42	1	1	NUM
ejpam-3711	241	43	2	2	NUM
ejpam-3711	241	44	=	=	SYM
ejpam-3711	241	45	o(un	o(un	NUM
ejpam-3711	241	46	)	)	PUNCT
ejpam-3711	241	47	on	on	ADP
ejpam-3711	241	48	(	(	PUNCT
ejpam-3711	241	49	e	e	NOUN
ejpam-3711	241	50	;	;	PUNCT
ejpam-3711	241	51	√	√	NUM
ejpam-3711	241	52	|σ0(x)|	|σ0(x)|	NOUN
ejpam-3711	241	53	)	)	PUNCT
ejpam-3711	241	54	,	,	PUNCT
ejpam-3711	241	55	where	where	SCONJ
ejpam-3711	241	56	wn	wn	PROPN
ejpam-3711	241	57	=	=	PUNCT
ejpam-3711	241	58	max{un	max{un	PROPN
ejpam-3711	241	59	,	,	PUNCT
ejpam-3711	241	60	vn	vn	NOUN
ejpam-3711	241	61	}	}	PUNCT
ejpam-3711	241	62	.	.	PUNCT
ejpam-3711	242	1	proof	proof	NOUN
ejpam-3711	242	2	.	.	PUNCT
ejpam-3711	243	1	for	for	ADP
ejpam-3711	243	2	proving	prove	VERB
ejpam-3711	243	3	the	the	DET
ejpam-3711	243	4	assertion	assertion	NOUN
ejpam-3711	243	5	(	(	PUNCT
ejpam-3711	243	6	i	i	NOUN
ejpam-3711	243	7	)	)	PUNCT
ejpam-3711	243	8	of	of	ADP
ejpam-3711	243	9	lemma	lemma	PROPN
ejpam-3711	243	10	2	2	NUM
ejpam-3711	243	11	,	,	PUNCT
ejpam-3711	243	12	we	we	PRON
ejpam-3711	243	13	consider	consider	VERB
ejpam-3711	243	14	the	the	DET
ejpam-3711	243	15	following	follow	VERB
ejpam-3711	243	16	sets	set	NOUN
ejpam-3711	243	17	for	for	ADP
ejpam-3711	243	18	which	which	PRON
ejpam-3711	243	19	ε	ε	PROPN
ejpam-3711	243	20	>	>	X
ejpam-3711	243	21	0	0	PUNCT
ejpam-3711	244	1	and	and	CCONJ
ejpam-3711	244	2	x	x	SYM
ejpam-3711	244	3	∈	∈	PROPN
ejpam-3711	244	4	e	e	NOUN
ejpam-3711	244	5	:	:	PUNCT
ejpam-3711	244	6	an(x	an(x	NOUN
ejpam-3711	244	7	,	,	PUNCT
ejpam-3711	244	8	εσ	εσ	VERB
ejpam-3711	244	9	)	)	PUNCT
ejpam-3711	244	10	=	=	SYM
ejpam-3711	245	1	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-3711	245	2	{	{	PUNCT
ejpam-3711	245	3	m	m	VERB
ejpam-3711	245	4	:	:	PUNCT
ejpam-3711	245	5	m	m	VERB
ejpam-3711	245	6	5	5	NUM
ejpam-3711	245	7	rbnan+1	rbnan+1	NOUN
ejpam-3711	245	8	and	and	CCONJ
ejpam-3711	245	9	sbn−mtm	sbn−mtm	ADJ
ejpam-3711	245	10	d∗	d∗	NOUN
ejpam-3711	245	11	(	(	PUNCT
ejpam-3711	245	12	[	[	PUNCT
ejpam-3711	245	13	∆α	∆α	PROPN
ejpam-3711	245	14	,	,	PUNCT
ejpam-3711	245	15	β	β	X
ejpam-3711	245	16	,	,	PUNCT
ejpam-3711	245	17	γ	γ	PROPN
ejpam-3711	245	18	h	h	NOUN
ejpam-3711	245	19	,	,	PUNCT
ejpam-3711	245	20	x	x	PROPN
ejpam-3711	245	21	fm	fm	PROPN
ejpam-3711	245	22	+	+	CCONJ
ejpam-3711	245	23	∆	∆	X
ejpam-3711	246	1	[	[	X
ejpam-3711	246	2	r	r	X
ejpam-3711	246	3	]	]	X
ejpam-3711	246	4	p	p	X
ejpam-3711	246	5	,	,	PUNCT
ejpam-3711	246	6	qgm	qgm	X
ejpam-3711	246	7	]	]	PUNCT
ejpam-3711	246	8	(	(	PUNCT
ejpam-3711	246	9	x	x	NOUN
ejpam-3711	246	10	)	)	PUNCT
ejpam-3711	246	11	,	,	PUNCT
ejpam-3711	246	12	(	(	PUNCT
ejpam-3711	246	13	f	f	X
ejpam-3711	246	14	+	+	CCONJ
ejpam-3711	246	15	g)(x	g)(x	PROPN
ejpam-3711	246	16	)	)	PUNCT
ejpam-3711	246	17	)	)	PUNCT
ejpam-3711	247	1	|σ(x)|	|σ(x)|	PROPN
ejpam-3711	247	2	=	=	PUNCT
ejpam-3711	247	3	ε	ε	PROPN
ejpam-3711	247	4	}	}	PUNCT
ejpam-3711	247	5	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-3711	247	6	,	,	PUNCT
ejpam-3711	247	7	a0,n(x	a0,n(x	X
ejpam-3711	247	8	,	,	PUNCT
ejpam-3711	247	9	εσ	εσ	NOUN
ejpam-3711	247	10	)	)	PUNCT
ejpam-3711	247	11	=	=	SYM
ejpam-3711	248	1	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-3711	248	2	m	m	PROPN
ejpam-3711	248	3	:	:	PUNCT
ejpam-3711	249	1	m	m	VERB
ejpam-3711	249	2	5	5	NUM
ejpam-3711	249	3	rbnan+1	rbnan+1	NOUN
ejpam-3711	249	4	and	and	CCONJ
ejpam-3711	249	5	sbn−mtm	sbn−mtm	ADJ
ejpam-3711	249	6	d∗	d∗	NOUN
ejpam-3711	249	7	(	(	PUNCT
ejpam-3711	249	8	∆α	∆α	PROPN
ejpam-3711	249	9	,	,	PUNCT
ejpam-3711	249	10	β	β	X
ejpam-3711	249	11	,	,	PUNCT
ejpam-3711	249	12	γ	γ	PROPN
ejpam-3711	249	13	h	h	PROPN
ejpam-3711	249	14	,	,	PUNCT
ejpam-3711	249	15	x	x	X
ejpam-3711	249	16	fm(x	fm(x	NUM
ejpam-3711	249	17	)	)	PUNCT
ejpam-3711	249	18	,	,	PUNCT
ejpam-3711	249	19	f(x	f(x	PROPN
ejpam-3711	249	20	)	)	PUNCT
ejpam-3711	249	21	)	)	PUNCT
ejpam-3711	249	22	|σ0(x)|	|σ0(x)|	PUNCT
ejpam-3711	249	23	=	=	PUNCT
ejpam-3711	249	24	ε	ε	PROPN
ejpam-3711	249	25	2	2	NUM
ejpam-3711	249	26			X
ejpam-3711	249	27	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-3711	249	28	and	and	CCONJ
ejpam-3711	249	29	a1,n(x	a1,n(x	X
ejpam-3711	249	30	,	,	PUNCT
ejpam-3711	249	31	εσ	εσ	NOUN
ejpam-3711	249	32	)	)	PUNCT
ejpam-3711	249	33	=	=	SYM
ejpam-3711	250	1	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-3711	250	2	m	m	PROPN
ejpam-3711	250	3	:	:	PUNCT
ejpam-3711	251	1	m	m	VERB
ejpam-3711	251	2	5	5	NUM
ejpam-3711	251	3	rbnan+1	rbnan+1	NOUN
ejpam-3711	251	4	and	and	CCONJ
ejpam-3711	251	5	sbn−mtm	sbn−mtm	ADJ
ejpam-3711	251	6	d∗	d∗	NOUN
ejpam-3711	251	7	(	(	PUNCT
ejpam-3711	251	8	∆α	∆α	PROPN
ejpam-3711	251	9	,	,	PUNCT
ejpam-3711	251	10	β	β	X
ejpam-3711	251	11	,	,	PUNCT
ejpam-3711	251	12	γ	γ	PROPN
ejpam-3711	251	13	h	h	PROPN
ejpam-3711	251	14	,	,	PUNCT
ejpam-3711	251	15	x	x	X
ejpam-3711	251	16	gm(x	gm(x	NUM
ejpam-3711	251	17	)	)	PUNCT
ejpam-3711	251	18	,	,	PUNCT
ejpam-3711	251	19	g(x	g(x	NOUN
ejpam-3711	251	20	)	)	PUNCT
ejpam-3711	251	21	)	)	PUNCT
ejpam-3711	252	1	|σ1(x)|	|σ1(x)|	NOUN
ejpam-3711	252	2	=	=	PUNCT
ejpam-3711	252	3	ε	ε	PROPN
ejpam-3711	252	4	2	2	NUM
ejpam-3711	252	5			X
ejpam-3711	252	6	∣∣∣∣∣∣	∣∣∣∣∣∣	PROPN
ejpam-3711	252	7	,	,	PUNCT
ejpam-3711	252	8	where	where	SCONJ
ejpam-3711	252	9	σ(x	σ(x	NOUN
ejpam-3711	252	10	)	)	PUNCT
ejpam-3711	252	11	=	=	PUNCT
ejpam-3711	252	12	max{|σi(x)|	max{|σi(x)|	VERB
ejpam-3711	252	13	:	:	PUNCT
ejpam-3711	252	14	i	i	NOUN
ejpam-3711	252	15	=	=	NOUN
ejpam-3711	252	16	0	0	NUM
ejpam-3711	252	17	,	,	PUNCT
ejpam-3711	252	18	1	1	NUM
ejpam-3711	252	19	}	}	PUNCT
ejpam-3711	252	20	.	.	PUNCT
ejpam-3711	253	1	clearly	clearly	ADV
ejpam-3711	253	2	,	,	PUNCT
ejpam-3711	253	3	we	we	PRON
ejpam-3711	253	4	have	have	VERB
ejpam-3711	253	5	an(x	an(x	NOUN
ejpam-3711	253	6	,	,	PUNCT
ejpam-3711	253	7	εσ	εσ	VERB
ejpam-3711	253	8	)	)	PUNCT
ejpam-3711	253	9	⊆	⊆	NUM
ejpam-3711	253	10	a0,n(x	a0,n(x	X
ejpam-3711	253	11	,	,	PUNCT
ejpam-3711	253	12	εσ	εσ	NOUN
ejpam-3711	253	13	)	)	PUNCT
ejpam-3711	253	14	∪	∪	ADP
ejpam-3711	253	15	a1,n(x	a1,n(x	X
ejpam-3711	253	16	,	,	PUNCT
ejpam-3711	253	17	εσ	εσ	NOUN
ejpam-3711	253	18	)	)	PUNCT
ejpam-3711	253	19	.	.	PUNCT
ejpam-3711	254	1	moreover	moreover	ADV
ejpam-3711	254	2	,	,	PUNCT
ejpam-3711	254	3	since	since	SCONJ
ejpam-3711	254	4	wn	wn	PROPN
ejpam-3711	254	5	=	=	PUNCT
ejpam-3711	254	6	max{un	max{un	PROPN
ejpam-3711	254	7	,	,	PUNCT
ejpam-3711	254	8	vn	vn	PROPN
ejpam-3711	254	9	}	}	PUNCT
ejpam-3711	254	10	,	,	PUNCT
ejpam-3711	254	11	(	(	PUNCT
ejpam-3711	254	12	17	17	NUM
ejpam-3711	254	13	)	)	PUNCT
ejpam-3711	254	14	by	by	ADP
ejpam-3711	254	15	using	use	VERB
ejpam-3711	254	16	the	the	DET
ejpam-3711	254	17	assertion	assertion	NOUN
ejpam-3711	254	18	(	(	PUNCT
ejpam-3711	254	19	7	7	NUM
ejpam-3711	254	20	)	)	PUNCT
ejpam-3711	254	21	of	of	ADP
ejpam-3711	254	22	theorem	theorem	NOUN
ejpam-3711	254	23	1	1	NUM
ejpam-3711	254	24	,	,	PUNCT
ejpam-3711	254	25	we	we	PRON
ejpam-3711	254	26	obtain	obtain	VERB
ejpam-3711	254	27	‖an(x	‖an(x	X
ejpam-3711	254	28	,	,	PUNCT
ejpam-3711	254	29	εσ)‖cf	εσ)‖cf	PROPN
ejpam-3711	254	30	(	(	PUNCT
ejpam-3711	254	31	e	e	NOUN
ejpam-3711	254	32	)	)	PUNCT
ejpam-3711	254	33	wnr	wnr	PROPN
ejpam-3711	254	34	bn	bn	X
ejpam-3711	254	35	an+1	an+1	PROPN
ejpam-3711	254	36	5	5	NUM
ejpam-3711	254	37	‖a0,n(x	‖a0,n(x	NUM
ejpam-3711	254	38	,	,	PUNCT
ejpam-3711	254	39	εσ)‖cf	εσ)‖cf	PROPN
ejpam-3711	254	40	(	(	PUNCT
ejpam-3711	254	41	e	e	NOUN
ejpam-3711	254	42	)	)	PUNCT
ejpam-3711	254	43	unr	unr	PROPN
ejpam-3711	254	44	bn	bn	ADP
ejpam-3711	254	45	an+1	an+1	NOUN
ejpam-3711	254	46	+	+	SYM
ejpam-3711	254	47	‖a1,n(x	‖a1,n(x	X
ejpam-3711	254	48	,	,	PUNCT
ejpam-3711	254	49	εσ)‖cf	εσ)‖cf	PROPN
ejpam-3711	254	50	(	(	PUNCT
ejpam-3711	254	51	e	e	NOUN
ejpam-3711	254	52	)	)	PUNCT
ejpam-3711	254	53	vnr	vnr	NOUN
ejpam-3711	254	54	bn	bn	INTJ
ejpam-3711	254	55	an+1	an+1	NOUN
ejpam-3711	254	56	.	.	PUNCT
ejpam-3711	255	1	(	(	PUNCT
ejpam-3711	255	2	18	18	NUM
ejpam-3711	255	3	)	)	PUNCT
ejpam-3711	255	4	also	also	ADV
ejpam-3711	255	5	,	,	PUNCT
ejpam-3711	255	6	by	by	ADP
ejpam-3711	255	7	using	use	VERB
ejpam-3711	255	8	the	the	DET
ejpam-3711	255	9	assertion	assertion	NOUN
ejpam-3711	255	10	(	(	PUNCT
ejpam-3711	255	11	6	6	NUM
ejpam-3711	255	12	)	)	PUNCT
ejpam-3711	255	13	of	of	ADP
ejpam-3711	255	14	theorem	theorem	NOUN
ejpam-3711	255	15	1	1	NUM
ejpam-3711	255	16	,	,	PUNCT
ejpam-3711	255	17	we	we	PRON
ejpam-3711	255	18	obtain	obtain	VERB
ejpam-3711	255	19	‖an(x	‖an(x	X
ejpam-3711	255	20	,	,	PUNCT
ejpam-3711	255	21	εσ)‖cf	εσ)‖cf	PROPN
ejpam-3711	255	22	(	(	PUNCT
ejpam-3711	255	23	e	e	NOUN
ejpam-3711	255	24	)	)	PUNCT
ejpam-3711	255	25	wnr	wnr	PROPN
ejpam-3711	255	26	bn	bn	X
ejpam-3711	255	27	an+1	an+1	NOUN
ejpam-3711	255	28	=	=	SYM
ejpam-3711	255	29	0	0	PROPN
ejpam-3711	255	30	.	.	PUNCT
ejpam-3711	256	1	(	(	PUNCT
ejpam-3711	256	2	19	19	NUM
ejpam-3711	256	3	)	)	PUNCT
ejpam-3711	256	4	thus	thus	ADV
ejpam-3711	256	5	,	,	PUNCT
ejpam-3711	256	6	assertion	assertion	NOUN
ejpam-3711	256	7	(	(	PUNCT
ejpam-3711	256	8	i	i	NOUN
ejpam-3711	256	9	)	)	PUNCT
ejpam-3711	256	10	of	of	ADP
ejpam-3711	256	11	this	this	DET
ejpam-3711	256	12	lemma	lemma	PROPN
ejpam-3711	256	13	is	be	AUX
ejpam-3711	256	14	proved	prove	VERB
ejpam-3711	256	15	.	.	PUNCT
ejpam-3711	257	1	s.	s.	PROPN
ejpam-3711	257	2	k.	k.	PROPN
ejpam-3711	257	3	paikray	paikray	PROPN
ejpam-3711	257	4	,	,	PUNCT
ejpam-3711	257	5	p.	p.	PROPN
ejpam-3711	257	6	parida	parida	PROPN
ejpam-3711	257	7	,	,	PUNCT
ejpam-3711	257	8	s.	s.	PROPN
ejpam-3711	257	9	a.	a.	PROPN
ejpam-3711	257	10	mohiuddine	mohiuddine	PROPN
ejpam-3711	257	11	/	/	SYM
ejpam-3711	257	12	eur	eur	PROPN
ejpam-3711	257	13	.	.	PUNCT
ejpam-3711	258	1	j.	j.	PROPN
ejpam-3711	258	2	pure	pure	PROPN
ejpam-3711	258	3	appl	appl	PROPN
ejpam-3711	258	4	.	.	PROPN
ejpam-3711	258	5	math	math	PROPN
ejpam-3711	258	6	,	,	PUNCT
ejpam-3711	258	7	13	13	NUM
ejpam-3711	258	8	(	(	PUNCT
ejpam-3711	258	9	5	5	NUM
ejpam-3711	258	10	)	)	PUNCT
ejpam-3711	258	11	(	(	PUNCT
ejpam-3711	258	12	2020	2020	NUM
ejpam-3711	258	13	)	)	PUNCT
ejpam-3711	258	14	,	,	PUNCT
ejpam-3711	258	15	1212	1212	NUM
ejpam-3711	258	16	-	-	SYM
ejpam-3711	258	17	1230	1230	NUM
ejpam-3711	258	18	1225	1225	NUM
ejpam-3711	258	19	next	next	ADV
ejpam-3711	258	20	,	,	PUNCT
ejpam-3711	258	21	since	since	SCONJ
ejpam-3711	258	22	all	all	DET
ejpam-3711	258	23	other	other	ADJ
ejpam-3711	258	24	assertions	assertion	NOUN
ejpam-3711	258	25	(	(	PUNCT
ejpam-3711	258	26	ii	ii	NOUN
ejpam-3711	258	27	)	)	PUNCT
ejpam-3711	258	28	(	(	PUNCT
ejpam-3711	258	29	iv	iv	X
ejpam-3711	258	30	)	)	PUNCT
ejpam-3711	258	31	of	of	ADP
ejpam-3711	258	32	lemma	lemma	PROPN
ejpam-3711	258	33	2	2	NUM
ejpam-3711	258	34	are	be	AUX
ejpam-3711	258	35	similar	similar	ADJ
ejpam-3711	258	36	as	as	ADP
ejpam-3711	258	37	in	in	ADP
ejpam-3711	258	38	the	the	DET
ejpam-3711	258	39	assertion	assertion	NOUN
ejpam-3711	258	40	(	(	PUNCT
ejpam-3711	258	41	i	i	NOUN
ejpam-3711	258	42	)	)	PUNCT
ejpam-3711	258	43	,	,	PUNCT
ejpam-3711	258	44	so	so	SCONJ
ejpam-3711	258	45	these	these	PRON
ejpam-3711	258	46	can	can	AUX
ejpam-3711	258	47	be	be	AUX
ejpam-3711	258	48	proved	prove	VERB
ejpam-3711	258	49	along	along	ADP
ejpam-3711	258	50	similar	similar	ADJ
ejpam-3711	258	51	lines	line	NOUN
ejpam-3711	258	52	to	to	PART
ejpam-3711	258	53	complete	complete	VERB
ejpam-3711	258	54	the	the	DET
ejpam-3711	258	55	proof	proof	NOUN
ejpam-3711	258	56	of	of	ADP
ejpam-3711	258	57	the	the	DET
ejpam-3711	258	58	lemma	lemma	PROPN
ejpam-3711	258	59	2	2	NUM
ejpam-3711	258	60	.	.	PUNCT
ejpam-3711	259	1	the	the	DET
ejpam-3711	259	2	fuzzy	fuzzy	ADJ
ejpam-3711	259	3	modulus	modulus	NOUN
ejpam-3711	259	4	of	of	ADP
ejpam-3711	259	5	continuity	continuity	NOUN
ejpam-3711	259	6	of	of	ADP
ejpam-3711	259	7	f	f	PROPN
ejpam-3711	259	8	is	be	AUX
ejpam-3711	259	9	such	such	ADJ
ejpam-3711	259	10	that	that	SCONJ
ejpam-3711	259	11	f	f	X
ejpam-3711	259	12	:	:	PUNCT
ejpam-3711	260	1	[	[	X
ejpam-3711	260	2	a	a	X
ejpam-3711	260	3	,	,	PUNCT
ejpam-3711	260	4	b	b	NOUN
ejpam-3711	260	5	]	]	X
ejpam-3711	260	6	→	→	PUNCT
ejpam-3711	260	7	rf	rf	NUM
ejpam-3711	260	8	was	be	AUX
ejpam-3711	260	9	studied	study	VERB
ejpam-3711	260	10	by	by	ADP
ejpam-3711	260	11	[	[	X
ejpam-3711	260	12	2	2	NUM
ejpam-3711	260	13	]	]	PUNCT
ejpam-3711	260	14	,	,	PUNCT
ejpam-3711	260	15	it	it	PRON
ejpam-3711	260	16	is	be	AUX
ejpam-3711	260	17	defined	define	VERB
ejpam-3711	260	18	by	by	ADP
ejpam-3711	260	19	ωf	ωf	PROPN
ejpam-3711	260	20	(	(	PUNCT
ejpam-3711	260	21	f	f	PROPN
ejpam-3711	260	22	,	,	PUNCT
ejpam-3711	260	23	δ	δ	PROPN
ejpam-3711	260	24	)	)	PUNCT
ejpam-3711	261	1	=	=	SYM
ejpam-3711	261	2	sup	sup	NOUN
ejpam-3711	261	3	x	x	NOUN
ejpam-3711	261	4	,	,	PUNCT
ejpam-3711	261	5	y∈[a	y∈[a	NOUN
ejpam-3711	261	6	,	,	PUNCT
ejpam-3711	261	7	b	b	NOUN
ejpam-3711	261	8	]	]	X
ejpam-3711	261	9	{	{	PUNCT
ejpam-3711	261	10	d∗(f(y	d∗(f(y	NOUN
ejpam-3711	261	11	)	)	PUNCT
ejpam-3711	261	12	,	,	PUNCT
ejpam-3711	261	13	f(x	f(x	PROPN
ejpam-3711	261	14	)	)	PUNCT
ejpam-3711	261	15	)	)	PUNCT
ejpam-3711	261	16	:	:	PUNCT
ejpam-3711	261	17	|y	|y	NOUN
ejpam-3711	261	18	−	−	PROPN
ejpam-3711	261	19	x|	x|	PROPN
ejpam-3711	261	20	5	5	NUM
ejpam-3711	261	21	δ	δ	PROPN
ejpam-3711	261	22	(	(	PUNCT
ejpam-3711	261	23	0	0	PUNCT
ejpam-3711	261	24	<	<	X
ejpam-3711	261	25	δ	δ	PROPN
ejpam-3711	261	26	≤	≤	ADJ
ejpam-3711	261	27	a−	a−	PROPN
ejpam-3711	261	28	b	b	NOUN
ejpam-3711	261	29	)	)	PUNCT
ejpam-3711	261	30	}	}	PUNCT
ejpam-3711	261	31	.	.	PUNCT
ejpam-3711	262	1	(	(	PUNCT
ejpam-3711	262	2	20	20	X
ejpam-3711	262	3	)	)	PUNCT
ejpam-3711	262	4	we	we	PRON
ejpam-3711	262	5	now	now	ADV
ejpam-3711	262	6	introduce	introduce	VERB
ejpam-3711	262	7	a	a	DET
ejpam-3711	262	8	theorem	theorem	NOUN
ejpam-3711	262	9	to	to	PART
ejpam-3711	262	10	obtain	obtain	VERB
ejpam-3711	262	11	the	the	DET
ejpam-3711	262	12	fuzzy	fuzzy	ADJ
ejpam-3711	262	13	rates	rate	NOUN
ejpam-3711	262	14	of	of	ADP
ejpam-3711	262	15	relatively	relatively	ADV
ejpam-3711	262	16	deferred	deferred	ADJ
ejpam-3711	262	17	nörlund	nörlund	NOUN
ejpam-3711	262	18	equi	equi	NOUN
ejpam-3711	262	19	-	-	PUNCT
ejpam-3711	262	20	statistical	statistical	ADJ
ejpam-3711	262	21	convergence	convergence	NOUN
ejpam-3711	262	22	based	base	VERB
ejpam-3711	262	23	on	on	ADP
ejpam-3711	262	24	difference	difference	NOUN
ejpam-3711	262	25	sequence	sequence	NOUN
ejpam-3711	262	26	of	of	ADP
ejpam-3711	262	27	functions	function	NOUN
ejpam-3711	262	28	under	under	ADP
ejpam-3711	262	29	the	the	DET
ejpam-3711	262	30	support	support	NOUN
ejpam-3711	262	31	of	of	ADP
ejpam-3711	262	32	the	the	DET
ejpam-3711	262	33	fuzzy	fuzzy	ADJ
ejpam-3711	262	34	modulus	modulus	NOUN
ejpam-3711	262	35	of	of	ADP
ejpam-3711	262	36	continuity	continuity	NOUN
ejpam-3711	262	37	.	.	PUNCT
ejpam-3711	263	1	theorem	theorem	NOUN
ejpam-3711	263	2	2	2	NUM
ejpam-3711	263	3	.	.	PUNCT
ejpam-3711	264	1	let	let	VERB
ejpam-3711	264	2	(	(	PUNCT
ejpam-3711	264	3	an	an	X
ejpam-3711	264	4	)	)	PUNCT
ejpam-3711	264	5	and	and	CCONJ
ejpam-3711	264	6	(	(	PUNCT
ejpam-3711	264	7	bn	bn	X
ejpam-3711	264	8	)	)	PUNCT
ejpam-3711	264	9	be	be	AUX
ejpam-3711	264	10	sequences	sequence	NOUN
ejpam-3711	264	11	of	of	ADP
ejpam-3711	264	12	integers	integer	NOUN
ejpam-3711	264	13	and	and	CCONJ
ejpam-3711	264	14	let	let	VERB
ejpam-3711	264	15	tm	tm	NOUN
ejpam-3711	264	16	:	:	PUNCT
ejpam-3711	264	17	cf	cf	X
ejpam-3711	265	1	[	[	X
ejpam-3711	265	2	a	a	X
ejpam-3711	265	3	,	,	PUNCT
ejpam-3711	265	4	b]→	b]→	NOUN
ejpam-3711	265	5	cf	cf	NOUN
ejpam-3711	266	1	[	[	X
ejpam-3711	266	2	a	a	X
ejpam-3711	266	3	,	,	PUNCT
ejpam-3711	266	4	b	b	NOUN
ejpam-3711	266	5	]	]	X
ejpam-3711	266	6	(	(	PUNCT
ejpam-3711	266	7	m	m	PROPN
ejpam-3711	266	8	∈	∈	PROPN
ejpam-3711	266	9	n	n	CCONJ
ejpam-3711	266	10	)	)	PUNCT
ejpam-3711	266	11	be	be	AUX
ejpam-3711	266	12	a	a	DET
ejpam-3711	266	13	sequence	sequence	NOUN
ejpam-3711	266	14	of	of	ADP
ejpam-3711	266	15	fuzzy	fuzzy	ADJ
ejpam-3711	266	16	positive	positive	ADJ
ejpam-3711	266	17	linear	linear	PROPN
ejpam-3711	266	18	operators	operator	NOUN
ejpam-3711	266	19	.	.	PUNCT
ejpam-3711	267	1	suppose	suppose	VERB
ejpam-3711	267	2	that	that	SCONJ
ejpam-3711	267	3	{	{	PUNCT
ejpam-3711	267	4	t∗n}n∈n	t∗n}n∈n	PROPN
ejpam-3711	267	5	be	be	AUX
ejpam-3711	267	6	the	the	DET
ejpam-3711	267	7	corresponding	corresponding	ADJ
ejpam-3711	267	8	sequence	sequence	NOUN
ejpam-3711	267	9	of	of	ADP
ejpam-3711	267	10	positive	positive	ADJ
ejpam-3711	267	11	linear	linear	PROPN
ejpam-3711	267	12	operators	operator	NOUN
ejpam-3711	267	13	from	from	ADP
ejpam-3711	267	14	c[a	c[a	NUM
ejpam-3711	267	15	,	,	PUNCT
ejpam-3711	267	16	b	b	X
ejpam-3711	267	17	]	]	PUNCT
ejpam-3711	267	18	into	into	ADP
ejpam-3711	267	19	itself	itself	PRON
ejpam-3711	267	20	such	such	ADJ
ejpam-3711	267	21	that	that	SCONJ
ejpam-3711	267	22	(	(	PUNCT
ejpam-3711	267	23	5	5	NUM
ejpam-3711	267	24	)	)	PUNCT
ejpam-3711	267	25	holds	hold	VERB
ejpam-3711	267	26	.	.	PUNCT
ejpam-3711	268	1	assume	assume	VERB
ejpam-3711	268	2	further	far	ADV
ejpam-3711	268	3	that	that	SCONJ
ejpam-3711	268	4	(	(	PUNCT
ejpam-3711	268	5	un	un	PROPN
ejpam-3711	268	6	)	)	PUNCT
ejpam-3711	268	7	and	and	CCONJ
ejpam-3711	268	8	(	(	PUNCT
ejpam-3711	268	9	vn	vn	AUX
ejpam-3711	268	10	)	)	PUNCT
ejpam-3711	268	11	be	be	VERB
ejpam-3711	268	12	two	two	NUM
ejpam-3711	268	13	positive	positive	ADJ
ejpam-3711	268	14	non	non	ADJ
ejpam-3711	268	15	-	-	ADJ
ejpam-3711	268	16	increasing	increase	VERB
ejpam-3711	268	17	sequences	sequence	NOUN
ejpam-3711	268	18	and	and	CCONJ
ejpam-3711	268	19	suppose	suppose	VERB
ejpam-3711	268	20	that	that	SCONJ
ejpam-3711	268	21	the	the	DET
ejpam-3711	268	22	operators	operator	NOUN
ejpam-3711	268	23	{	{	PUNCT
ejpam-3711	268	24	t∗m}n∈n	t∗m}n∈n	PROPN
ejpam-3711	268	25	satisfy	satisfy	VERB
ejpam-3711	268	26	the	the	DET
ejpam-3711	268	27	conditions	condition	NOUN
ejpam-3711	268	28	:	:	PUNCT
ejpam-3711	268	29	(	(	PUNCT
ejpam-3711	268	30	i	i	NOUN
ejpam-3711	268	31	)	)	PUNCT
ejpam-3711	268	32	strwequi(∆	strwequi(∆	PROPN
ejpam-3711	268	33	α	α	NOUN
ejpam-3711	268	34	,	,	PUNCT
ejpam-3711	268	35	β	β	X
ejpam-3711	268	36	,	,	PUNCT
ejpam-3711	268	37	γ	γ	PROPN
ejpam-3711	268	38	h	h	PROPN
ejpam-3711	268	39	,	,	PUNCT
ejpam-3711	268	40	x	x	NOUN
ejpam-3711	268	41	)	)	PUNCT
ejpam-3711	268	42	t∗m(1	t∗m(1	NOUN
ejpam-3711	268	43	,	,	PUNCT
ejpam-3711	268	44	x)−	x)−	PROPN
ejpam-3711	268	45	1	1	NUM
ejpam-3711	268	46	=	=	SYM
ejpam-3711	268	47	o(un	o(un	NUM
ejpam-3711	268	48	)	)	PUNCT
ejpam-3711	268	49	on	on	ADP
ejpam-3711	268	50	(	(	PUNCT
ejpam-3711	268	51	e;σ0	e;σ0	NOUN
ejpam-3711	268	52	)	)	PUNCT
ejpam-3711	268	53	,	,	PUNCT
ejpam-3711	268	54	(	(	PUNCT
ejpam-3711	268	55	ii	ii	NOUN
ejpam-3711	268	56	)	)	PUNCT
ejpam-3711	268	57	strwequi(∆	strwequi(∆	PROPN
ejpam-3711	268	58	α	α	NOUN
ejpam-3711	268	59	,	,	PUNCT
ejpam-3711	268	60	β	β	X
ejpam-3711	268	61	,	,	PUNCT
ejpam-3711	268	62	γ	γ	PROPN
ejpam-3711	268	63	h	h	PROPN
ejpam-3711	268	64	,	,	PUNCT
ejpam-3711	268	65	x	x	PUNCT
ejpam-3711	268	66	)	)	PUNCT
ejpam-3711	269	1	ωf	ωf	PROPN
ejpam-3711	269	2	(	(	PUNCT
ejpam-3711	269	3	f	f	X
ejpam-3711	269	4	,	,	PUNCT
ejpam-3711	269	5	δn	δn	ADJ
ejpam-3711	269	6	)	)	PUNCT
ejpam-3711	269	7	=	=	SYM
ejpam-3711	269	8	o(vn	o(vn	PROPN
ejpam-3711	269	9	)	)	PUNCT
ejpam-3711	269	10	on	on	ADP
ejpam-3711	269	11	(	(	PUNCT
ejpam-3711	269	12	e;σ1	e;σ1	NOUN
ejpam-3711	269	13	)	)	PUNCT
ejpam-3711	269	14	,	,	PUNCT
ejpam-3711	269	15	where	where	SCONJ
ejpam-3711	269	16	δn(x	δn(x	X
ejpam-3711	269	17	)	)	PUNCT
ejpam-3711	269	18	=	=	PRON
ejpam-3711	269	19	{	{	PUNCT
ejpam-3711	269	20	l∗m(θ2;x	l∗m(θ2;x	PROPN
ejpam-3711	269	21	)	)	PUNCT
ejpam-3711	269	22	}	}	PUNCT
ejpam-3711	269	23	1	1	NUM
ejpam-3711	269	24	2	2	NUM
ejpam-3711	269	25	and	and	CCONJ
ejpam-3711	269	26	θ(y	θ(y	NOUN
ejpam-3711	269	27	)	)	PUNCT
ejpam-3711	269	28	=	=	PUNCT
ejpam-3711	270	1	(	(	PUNCT
ejpam-3711	270	2	y	y	PROPN
ejpam-3711	270	3	−	−	PROPN
ejpam-3711	270	4	x	x	NOUN
ejpam-3711	270	5	)	)	PUNCT
ejpam-3711	270	6	,	,	PUNCT
ejpam-3711	270	7	then	then	ADV
ejpam-3711	270	8	for	for	ADP
ejpam-3711	270	9	each	each	DET
ejpam-3711	270	10	f	f	PROPN
ejpam-3711	270	11	∈	∈	PROPN
ejpam-3711	270	12	cf	cf	NOUN
ejpam-3711	270	13	(	(	PUNCT
ejpam-3711	270	14	e	e	NOUN
ejpam-3711	270	15	)	)	PUNCT
ejpam-3711	270	16	,	,	PUNCT
ejpam-3711	270	17	the	the	DET
ejpam-3711	270	18	assertion	assertion	NOUN
ejpam-3711	270	19	as	as	SCONJ
ejpam-3711	270	20	below	below	ADV
ejpam-3711	270	21	holds	hold	VERB
ejpam-3711	270	22	true	true	ADJ
ejpam-3711	270	23	:	:	PUNCT
ejpam-3711	270	24	strwequi(∆	strwequi(∆	NUM
ejpam-3711	270	25	α	α	NOUN
ejpam-3711	270	26	,	,	PUNCT
ejpam-3711	270	27	β	β	X
ejpam-3711	270	28	,	,	PUNCT
ejpam-3711	270	29	γ	γ	PROPN
ejpam-3711	270	30	h	h	PROPN
ejpam-3711	270	31	,	,	PUNCT
ejpam-3711	270	32	x	x	X
ejpam-3711	270	33	)	)	PUNCT
ejpam-3711	270	34	d∗	d∗	PROPN
ejpam-3711	270	35	(	(	PUNCT
ejpam-3711	270	36	tm(f	tm(f	NOUN
ejpam-3711	270	37	)	)	PUNCT
ejpam-3711	270	38	,	,	PUNCT
ejpam-3711	270	39	f	f	X
ejpam-3711	270	40	)	)	PUNCT
ejpam-3711	270	41	=	=	SYM
ejpam-3711	270	42	o(wn	o(wn	NOUN
ejpam-3711	270	43	)	)	PUNCT
ejpam-3711	270	44	on	on	ADP
ejpam-3711	270	45	(	(	PUNCT
ejpam-3711	270	46	e;σ	e;σ	NUM
ejpam-3711	270	47	)	)	PUNCT
ejpam-3711	270	48	,	,	PUNCT
ejpam-3711	270	49	(	(	PUNCT
ejpam-3711	270	50	21	21	NUM
ejpam-3711	270	51	)	)	PUNCT
ejpam-3711	270	52	where	where	SCONJ
ejpam-3711	270	53	(	(	PUNCT
ejpam-3711	270	54	wn	wn	NOUN
ejpam-3711	270	55	)	)	PUNCT
ejpam-3711	270	56	defined	define	VERB
ejpam-3711	270	57	by	by	ADP
ejpam-3711	270	58	(	(	PUNCT
ejpam-3711	270	59	17	17	NUM
ejpam-3711	270	60	)	)	PUNCT
ejpam-3711	270	61	and	and	CCONJ
ejpam-3711	270	62	σ(x	σ(x	NOUN
ejpam-3711	270	63	)	)	PUNCT
ejpam-3711	270	64	=	=	SYM
ejpam-3711	271	1	max{|σ0(x)|	max{|σ0(x)|	NOUN
ejpam-3711	271	2	,	,	PUNCT
ejpam-3711	271	3	|σ1(x)|	|σ1(x)|	NOUN
ejpam-3711	271	4	,	,	PUNCT
ejpam-3711	271	5	|σ0(x)σ1(x)|	|σ0(x)σ1(x)|	PROPN
ejpam-3711	271	6	:	:	PUNCT
ejpam-3711	271	7	σi(x	σi(x	NUM
ejpam-3711	271	8	)	)	PUNCT
ejpam-3711	271	9	>	>	X
ejpam-3711	271	10	0	0	PUNCT
ejpam-3711	272	1	(	(	PUNCT
ejpam-3711	272	2	i	i	NOUN
ejpam-3711	272	3	=	=	NOUN
ejpam-3711	272	4	0	0	NUM
ejpam-3711	272	5	,	,	PUNCT
ejpam-3711	272	6	1	1	NUM
ejpam-3711	272	7	)	)	PUNCT
ejpam-3711	272	8	}	}	PUNCT
ejpam-3711	272	9	.	.	PUNCT
ejpam-3711	273	1	proof	proof	NOUN
ejpam-3711	273	2	.	.	PUNCT
ejpam-3711	274	1	suppose	suppose	VERB
ejpam-3711	274	2	e	e	X
ejpam-3711	274	3	⊂	⊂	PROPN
ejpam-3711	274	4	r	r	NOUN
ejpam-3711	274	5	be	be	AUX
ejpam-3711	274	6	compact	compact	ADJ
ejpam-3711	274	7	and	and	CCONJ
ejpam-3711	274	8	let	let	VERB
ejpam-3711	274	9	f	f	PROPN
ejpam-3711	274	10	∈	∈	PROPN
ejpam-3711	274	11	cf	cf	NOUN
ejpam-3711	274	12	(	(	PUNCT
ejpam-3711	274	13	e	e	NOUN
ejpam-3711	274	14	)	)	PUNCT
ejpam-3711	274	15	,	,	PUNCT
ejpam-3711	274	16	x	x	PROPN
ejpam-3711	274	17	∈	∈	PROPN
ejpam-3711	274	18	e.	e.	PROPN
ejpam-3711	274	19	then	then	ADV
ejpam-3711	274	20	,	,	PUNCT
ejpam-3711	274	21	it	it	PRON
ejpam-3711	274	22	is	be	AUX
ejpam-3711	274	23	obvious	obvious	ADJ
ejpam-3711	274	24	that	that	SCONJ
ejpam-3711	274	25	,	,	PUNCT
ejpam-3711	274	26	d∗	d∗	PROPN
ejpam-3711	274	27	(	(	PUNCT
ejpam-3711	274	28	∆α	∆α	PROPN
ejpam-3711	274	29	,	,	PUNCT
ejpam-3711	274	30	β	β	X
ejpam-3711	274	31	,	,	PUNCT
ejpam-3711	274	32	γ	γ	PROPN
ejpam-3711	274	33	h	h	PROPN
ejpam-3711	274	34	,	,	PUNCT
ejpam-3711	274	35	x	x	SYM
ejpam-3711	274	36	tm(f	tm(f	NOUN
ejpam-3711	274	37	,	,	PUNCT
ejpam-3711	274	38	x	x	NOUN
ejpam-3711	274	39	)	)	PUNCT
ejpam-3711	274	40	;	;	PUNCT
ejpam-3711	274	41	f	f	X
ejpam-3711	274	42	)	)	PUNCT
ejpam-3711	274	43	5	5	NUM
ejpam-3711	274	44	n|∆α	n|∆α	PROPN
ejpam-3711	274	45	,	,	PUNCT
ejpam-3711	274	46	β	β	X
ejpam-3711	274	47	,	,	PUNCT
ejpam-3711	274	48	γ	γ	PROPN
ejpam-3711	274	49	h	h	NOUN
ejpam-3711	274	50	,	,	PUNCT
ejpam-3711	274	51	x	x	PROPN
ejpam-3711	274	52	t∗m(1;x)−	t∗m(1;x)−	PROPN
ejpam-3711	274	53	1|+	1|+	NUM
ejpam-3711	274	54	(	(	PUNCT
ejpam-3711	274	55	∆α	∆α	PROPN
ejpam-3711	274	56	,	,	PUNCT
ejpam-3711	274	57	β	β	X
ejpam-3711	274	58	,	,	PUNCT
ejpam-3711	274	59	γ	γ	PROPN
ejpam-3711	274	60	h	h	PROPN
ejpam-3711	274	61	,	,	PUNCT
ejpam-3711	274	62	x	x	NOUN
ejpam-3711	274	63	t∗m(1;x	t∗m(1;x	PROPN
ejpam-3711	274	64	)	)	PUNCT
ejpam-3711	275	1	+	+	CCONJ
ejpam-3711	275	2	√	√	PUNCT
ejpam-3711	275	3	∆α	∆α	PROPN
ejpam-3711	275	4	,	,	PUNCT
ejpam-3711	275	5	β	β	X
ejpam-3711	275	6	,	,	PUNCT
ejpam-3711	275	7	γ	γ	PROPN
ejpam-3711	275	8	h	h	PROPN
ejpam-3711	275	9	,	,	PUNCT
ejpam-3711	275	10	x	x	NOUN
ejpam-3711	275	11	t∗m(1;x	t∗m(1;x	PROPN
ejpam-3711	275	12	)	)	PUNCT
ejpam-3711	275	13	)	)	PUNCT
ejpam-3711	276	1	ωf	ωf	PROPN
ejpam-3711	276	2	(	(	PUNCT
ejpam-3711	276	3	f	f	X
ejpam-3711	276	4	,	,	PUNCT
ejpam-3711	276	5	δn	δn	NOUN
ejpam-3711	276	6	)	)	PUNCT
ejpam-3711	276	7	,	,	PUNCT
ejpam-3711	276	8	where	where	SCONJ
ejpam-3711	276	9	n	n	PROPN
ejpam-3711	276	10	=	=	SYM
ejpam-3711	276	11	‖f‖cf	‖f‖cf	PROPN
ejpam-3711	276	12	(	(	PUNCT
ejpam-3711	276	13	e	e	NOUN
ejpam-3711	276	14	)	)	PUNCT
ejpam-3711	276	15	.	.	PUNCT
ejpam-3711	277	1	s.	s.	PROPN
ejpam-3711	277	2	k.	k.	PROPN
ejpam-3711	277	3	paikray	paikray	PROPN
ejpam-3711	277	4	,	,	PUNCT
ejpam-3711	277	5	p.	p.	PROPN
ejpam-3711	277	6	parida	parida	PROPN
ejpam-3711	277	7	,	,	PUNCT
ejpam-3711	277	8	s.	s.	PROPN
ejpam-3711	277	9	a.	a.	PROPN
ejpam-3711	277	10	mohiuddine	mohiuddine	PROPN
ejpam-3711	277	11	/	/	SYM
ejpam-3711	277	12	eur	eur	PROPN
ejpam-3711	277	13	.	.	PUNCT
ejpam-3711	278	1	j.	j.	PROPN
ejpam-3711	278	2	pure	pure	PROPN
ejpam-3711	278	3	appl	appl	PROPN
ejpam-3711	278	4	.	.	PROPN
ejpam-3711	278	5	math	math	PROPN
ejpam-3711	278	6	,	,	PUNCT
ejpam-3711	278	7	13	13	NUM
ejpam-3711	278	8	(	(	PUNCT
ejpam-3711	278	9	5	5	NUM
ejpam-3711	278	10	)	)	PUNCT
ejpam-3711	278	11	(	(	PUNCT
ejpam-3711	278	12	2020	2020	NUM
ejpam-3711	278	13	)	)	PUNCT
ejpam-3711	278	14	,	,	PUNCT
ejpam-3711	278	15	1212	1212	NUM
ejpam-3711	278	16	-	-	SYM
ejpam-3711	278	17	1230	1230	NUM
ejpam-3711	278	18	1226	1226	NUM
ejpam-3711	278	19	which	which	PRON
ejpam-3711	278	20	yields	yield	VERB
ejpam-3711	278	21	d∗	d∗	PROPN
ejpam-3711	278	22	(	(	PUNCT
ejpam-3711	278	23	∆α	∆α	PROPN
ejpam-3711	278	24	,	,	PUNCT
ejpam-3711	278	25	β	β	X
ejpam-3711	278	26	,	,	PUNCT
ejpam-3711	278	27	γ	γ	PROPN
ejpam-3711	278	28	h	h	PROPN
ejpam-3711	278	29	,	,	PUNCT
ejpam-3711	278	30	x	x	SYM
ejpam-3711	278	31	tm(f	tm(f	NOUN
ejpam-3711	278	32	)	)	PUNCT
ejpam-3711	278	33	,	,	PUNCT
ejpam-3711	278	34	f	f	PROPN
ejpam-3711	278	35	)	)	PUNCT
ejpam-3711	278	36	σ(x	σ(x	PROPN
ejpam-3711	278	37	)	)	PUNCT
ejpam-3711	278	38	5	5	NUM
ejpam-3711	278	39	n	n	PROPN
ejpam-3711	278	40	(	(	PUNCT
ejpam-3711	278	41	∆α	∆α	PROPN
ejpam-3711	278	42	,	,	PUNCT
ejpam-3711	278	43	β	β	X
ejpam-3711	278	44	,	,	PUNCT
ejpam-3711	278	45	γ	γ	PROPN
ejpam-3711	278	46	h	h	NOUN
ejpam-3711	278	47	,	,	PUNCT
ejpam-3711	278	48	x	x	PROPN
ejpam-3711	278	49	t∗m(1;x)−	t∗m(1;x)−	PROPN
ejpam-3711	278	50	1	1	NUM
ejpam-3711	278	51	|σ0(x)|	|σ0(x)|	PUNCT
ejpam-3711	278	52	)	)	PUNCT
ejpam-3711	279	1	+	+	CCONJ
ejpam-3711	279	2	2	2	NUM
ejpam-3711	279	3	ωf	ωf	PRON
ejpam-3711	279	4	(	(	PUNCT
ejpam-3711	279	5	f	f	X
ejpam-3711	279	6	,	,	PUNCT
ejpam-3711	279	7	δn	δn	ADJ
ejpam-3711	279	8	)	)	PUNCT
ejpam-3711	279	9	σ1(x	σ1(x	NUM
ejpam-3711	279	10	)	)	PUNCT
ejpam-3711	279	11	+	+	CCONJ
ejpam-3711	279	12	ωf	ωf	PROPN
ejpam-3711	279	13	(	(	PUNCT
ejpam-3711	279	14	f	f	X
ejpam-3711	279	15	,	,	PUNCT
ejpam-3711	279	16	δn	δn	ADJ
ejpam-3711	279	17	)	)	PUNCT
ejpam-3711	279	18	σ1(x	σ1(x	PROPN
ejpam-3711	279	19	)	)	PUNCT
ejpam-3711	279	20	(	(	PUNCT
ejpam-3711	279	21	∆α	∆α	PROPN
ejpam-3711	279	22	,	,	PUNCT
ejpam-3711	279	23	β	β	X
ejpam-3711	279	24	,	,	PUNCT
ejpam-3711	279	25	γ	γ	PROPN
ejpam-3711	279	26	h	h	NOUN
ejpam-3711	279	27	,	,	PUNCT
ejpam-3711	279	28	x	x	PROPN
ejpam-3711	279	29	t∗m(1;x)−	t∗m(1;x)−	PROPN
ejpam-3711	279	30	1	1	NUM
ejpam-3711	279	31	|σ0(x)|	|σ0(x)|	PUNCT
ejpam-3711	279	32	)	)	PUNCT
ejpam-3711	280	1	+	+	CCONJ
ejpam-3711	280	2	ωf	ωf	PROPN
ejpam-3711	280	3	(	(	PUNCT
ejpam-3711	280	4	f	f	X
ejpam-3711	280	5	,	,	PUNCT
ejpam-3711	280	6	δn	δn	ADJ
ejpam-3711	280	7	)	)	PUNCT
ejpam-3711	280	8	σ1(x	σ1(x	NOUN
ejpam-3711	280	9	)	)	PUNCT
ejpam-3711	280	10	√√√√(∆α	√√√√(∆α	ADJ
ejpam-3711	280	11	,	,	PUNCT
ejpam-3711	280	12	β	β	X
ejpam-3711	280	13	,	,	PUNCT
ejpam-3711	280	14	γ	γ	PROPN
ejpam-3711	280	15	h	h	NOUN
ejpam-3711	280	16	,	,	PUNCT
ejpam-3711	280	17	x	x	PROPN
ejpam-3711	280	18	t∗m(1;x)−	t∗m(1;x)−	PROPN
ejpam-3711	280	19	1	1	NUM
ejpam-3711	280	20	|σ0(x)|	|σ0(x)|	PUNCT
ejpam-3711	280	21	)	)	PUNCT
ejpam-3711	280	22	.	.	PUNCT
ejpam-3711	281	1	(	(	PUNCT
ejpam-3711	281	2	22	22	NUM
ejpam-3711	281	3	)	)	PUNCT
ejpam-3711	281	4	finally	finally	ADV
ejpam-3711	281	5	,	,	PUNCT
ejpam-3711	281	6	for	for	ADP
ejpam-3711	281	7	the	the	DET
ejpam-3711	281	8	conditions	condition	NOUN
ejpam-3711	281	9	(	(	PUNCT
ejpam-3711	281	10	i	i	NOUN
ejpam-3711	281	11	)	)	PUNCT
ejpam-3711	281	12	and	and	CCONJ
ejpam-3711	281	13	(	(	PUNCT
ejpam-3711	281	14	ii	ii	NOUN
ejpam-3711	281	15	)	)	PUNCT
ejpam-3711	281	16	(	(	PUNCT
ejpam-3711	281	17	of	of	ADP
ejpam-3711	281	18	theorem	theorem	NOUN
ejpam-3711	281	19	2	2	NUM
ejpam-3711	281	20	)	)	PUNCT
ejpam-3711	281	21	along	along	ADP
ejpam-3711	281	22	with	with	ADP
ejpam-3711	281	23	lemma	lemma	PROPN
ejpam-3711	281	24	2	2	NUM
ejpam-3711	281	25	,	,	PUNCT
ejpam-3711	281	26	the	the	DET
ejpam-3711	281	27	last	last	ADJ
ejpam-3711	281	28	inequality	inequality	NOUN
ejpam-3711	281	29	(	(	PUNCT
ejpam-3711	281	30	22	22	NUM
ejpam-3711	281	31	)	)	PUNCT
ejpam-3711	281	32	helps	help	VERB
ejpam-3711	281	33	us	we	PRON
ejpam-3711	281	34	to	to	PART
ejpam-3711	281	35	achieve	achieve	VERB
ejpam-3711	281	36	the	the	DET
ejpam-3711	281	37	assertion	assertion	NOUN
ejpam-3711	281	38	(	(	PUNCT
ejpam-3711	281	39	21	21	NUM
ejpam-3711	281	40	)	)	PUNCT
ejpam-3711	281	41	.	.	PUNCT
ejpam-3711	282	1	therefore	therefore	ADV
ejpam-3711	282	2	,	,	PUNCT
ejpam-3711	282	3	proof	proof	NOUN
ejpam-3711	282	4	of	of	ADP
ejpam-3711	282	5	theorem	theorem	ADJ
ejpam-3711	282	6	2	2	NUM
ejpam-3711	282	7	is	be	AUX
ejpam-3711	282	8	completed	complete	VERB
ejpam-3711	282	9	.	.	PUNCT
ejpam-3711	283	1	6	6	X
ejpam-3711	283	2	.	.	X
ejpam-3711	283	3	concluding	conclude	VERB
ejpam-3711	283	4	remarks	remark	NOUN
ejpam-3711	283	5	and	and	CCONJ
ejpam-3711	283	6	observations	observation	NOUN
ejpam-3711	283	7	in	in	ADP
ejpam-3711	283	8	last	last	ADJ
ejpam-3711	283	9	section	section	NOUN
ejpam-3711	283	10	of	of	ADP
ejpam-3711	283	11	our	our	PRON
ejpam-3711	283	12	investigation	investigation	NOUN
ejpam-3711	283	13	,	,	PUNCT
ejpam-3711	283	14	we	we	PRON
ejpam-3711	283	15	present	present	VERB
ejpam-3711	283	16	various	various	ADJ
ejpam-3711	283	17	further	further	ADJ
ejpam-3711	283	18	remarks	remark	NOUN
ejpam-3711	283	19	and	and	CCONJ
ejpam-3711	283	20	observations	observation	NOUN
ejpam-3711	283	21	relating	relate	VERB
ejpam-3711	283	22	the	the	DET
ejpam-3711	283	23	different	different	ADJ
ejpam-3711	283	24	outcomes	outcome	NOUN
ejpam-3711	283	25	which	which	PRON
ejpam-3711	283	26	we	we	PRON
ejpam-3711	283	27	have	have	AUX
ejpam-3711	283	28	proved	prove	VERB
ejpam-3711	283	29	here	here	ADV
ejpam-3711	283	30	.	.	PUNCT
ejpam-3711	284	1	remark	remark	VERB
ejpam-3711	284	2	1	1	NUM
ejpam-3711	284	3	.	.	PUNCT
ejpam-3711	285	1	if	if	SCONJ
ejpam-3711	285	2	we	we	PRON
ejpam-3711	285	3	put	put	VERB
ejpam-3711	285	4	an	an	DET
ejpam-3711	285	5	=	=	NOUN
ejpam-3711	285	6	0	0	NUM
ejpam-3711	285	7	,	,	PUNCT
ejpam-3711	285	8	bn	bn	NOUN
ejpam-3711	285	9	=	=	SYM
ejpam-3711	285	10	n	n	CCONJ
ejpam-3711	285	11	,	,	PUNCT
ejpam-3711	285	12	sn	sn	PROPN
ejpam-3711	285	13	=	=	SYM
ejpam-3711	285	14	tn	tn	PROPN
ejpam-3711	285	15	=	=	SYM
ejpam-3711	285	16	1	1	NUM
ejpam-3711	285	17	and	and	CCONJ
ejpam-3711	285	18	α	α	NOUN
ejpam-3711	285	19	=	=	SYM
ejpam-3711	285	20	β	β	X
ejpam-3711	285	21	=	=	PUNCT
ejpam-3711	285	22	γ	γ	X
ejpam-3711	285	23	=	=	SYM
ejpam-3711	285	24	0	0	NUM
ejpam-3711	285	25	in	in	ADP
ejpam-3711	285	26	our	our	PRON
ejpam-3711	285	27	theorem	theorem	NOUN
ejpam-3711	285	28	1	1	NUM
ejpam-3711	285	29	,	,	PUNCT
ejpam-3711	285	30	then	then	ADV
ejpam-3711	285	31	we	we	PRON
ejpam-3711	285	32	get	get	VERB
ejpam-3711	285	33	the	the	DET
ejpam-3711	285	34	statistical	statistical	ADJ
ejpam-3711	285	35	versions	version	NOUN
ejpam-3711	285	36	of	of	ADP
ejpam-3711	285	37	the	the	DET
ejpam-3711	285	38	fuzzy	fuzzy	ADJ
ejpam-3711	285	39	korovkin	korovkin	NOUN
ejpam-3711	285	40	-	-	PUNCT
ejpam-3711	285	41	type	type	NOUN
ejpam-3711	285	42	approximation	approximation	NOUN
ejpam-3711	285	43	theorem	theorem	NOUN
ejpam-3711	285	44	,	,	PUNCT
ejpam-3711	285	45	which	which	PRON
ejpam-3711	285	46	was	be	AUX
ejpam-3711	285	47	demonstrated	demonstrate	VERB
ejpam-3711	285	48	earlier	early	ADV
ejpam-3711	285	49	by	by	ADP
ejpam-3711	285	50	anastassiou	anastassiou	NOUN
ejpam-3711	285	51	and	and	CCONJ
ejpam-3711	285	52	duman	duman	PROPN
ejpam-3711	285	53	(	(	PUNCT
ejpam-3711	285	54	see	see	VERB
ejpam-3711	285	55	[	[	X
ejpam-3711	285	56	3	3	NUM
ejpam-3711	285	57	]	]	NUM
ejpam-3711	285	58	)	)	PUNCT
ejpam-3711	285	59	.	.	PUNCT
ejpam-3711	286	1	remark	remark	PROPN
ejpam-3711	286	2	2	2	NUM
ejpam-3711	286	3	.	.	PUNCT
ejpam-3711	286	4	suppose	suppose	VERB
ejpam-3711	286	5	in	in	ADP
ejpam-3711	286	6	theorem	theorem	NOUN
ejpam-3711	286	7	2	2	NUM
ejpam-3711	286	8	,	,	PUNCT
ejpam-3711	286	9	we	we	PRON
ejpam-3711	286	10	substitute	substitute	VERB
ejpam-3711	286	11	the	the	DET
ejpam-3711	286	12	conditions	condition	NOUN
ejpam-3711	286	13	(	(	PUNCT
ejpam-3711	286	14	i	i	NOUN
ejpam-3711	286	15	)	)	PUNCT
ejpam-3711	286	16	and	and	CCONJ
ejpam-3711	286	17	(	(	PUNCT
ejpam-3711	286	18	ii	ii	NOUN
ejpam-3711	286	19	)	)	PUNCT
ejpam-3711	286	20	by	by	ADP
ejpam-3711	286	21	the	the	DET
ejpam-3711	286	22	following	follow	VERB
ejpam-3711	286	23	condition	condition	NOUN
ejpam-3711	286	24	:	:	PUNCT
ejpam-3711	286	25	strwequi(∆	strwequi(∆	PROPN
ejpam-3711	286	26	α	α	NOUN
ejpam-3711	286	27	,	,	PUNCT
ejpam-3711	286	28	β	β	X
ejpam-3711	286	29	,	,	PUNCT
ejpam-3711	286	30	γ	γ	PROPN
ejpam-3711	286	31	h	h	PROPN
ejpam-3711	286	32	,	,	PUNCT
ejpam-3711	286	33	x	x	NOUN
ejpam-3711	286	34	)	)	PUNCT
ejpam-3711	286	35	d∗(t∗m(fi	d∗(t∗m(fi	PROPN
ejpam-3711	286	36	,	,	PUNCT
ejpam-3711	286	37	x)−	x)−	PROPN
ejpam-3711	286	38	fi	fi	NOUN
ejpam-3711	286	39	)	)	PUNCT
ejpam-3711	286	40	=	=	SYM
ejpam-3711	286	41	o(uni	o(uni	X
ejpam-3711	286	42	)	)	PUNCT
ejpam-3711	286	43	on	on	ADP
ejpam-3711	286	44	(	(	PUNCT
ejpam-3711	286	45	e;σi	e;σi	NOUN
ejpam-3711	286	46	)	)	PUNCT
ejpam-3711	286	47	.	.	PUNCT
ejpam-3711	287	1	(	(	PUNCT
ejpam-3711	287	2	23	23	NUM
ejpam-3711	287	3	)	)	PUNCT
ejpam-3711	287	4	then	then	ADV
ejpam-3711	287	5	,	,	PUNCT
ejpam-3711	287	6	since	since	SCONJ
ejpam-3711	287	7	∆α	∆α	PROPN
ejpam-3711	287	8	,	,	PUNCT
ejpam-3711	287	9	β	β	X
ejpam-3711	287	10	,	,	PUNCT
ejpam-3711	287	11	γ	γ	PROPN
ejpam-3711	287	12	h	h	PROPN
ejpam-3711	287	13	,	,	PUNCT
ejpam-3711	287	14	x	x	X
ejpam-3711	287	15	t∗m(θ2;x	t∗m(θ2;x	PUNCT
ejpam-3711	287	16	)	)	PUNCT
ejpam-3711	287	17	=	=	SYM
ejpam-3711	287	18	∆α	∆α	PROPN
ejpam-3711	287	19	,	,	PUNCT
ejpam-3711	287	20	β	β	X
ejpam-3711	287	21	,	,	PUNCT
ejpam-3711	287	22	γ	γ	PROPN
ejpam-3711	287	23	h	h	PROPN
ejpam-3711	287	24	,	,	PUNCT
ejpam-3711	287	25	x	x	X
ejpam-3711	287	26	t∗m(y2;x)−	t∗m(y2;x)−	PROPN
ejpam-3711	287	27	2x∆α	2x∆α	NUM
ejpam-3711	287	28	,	,	PUNCT
ejpam-3711	287	29	β	β	X
ejpam-3711	287	30	,	,	PUNCT
ejpam-3711	287	31	γ	γ	PROPN
ejpam-3711	287	32	h	h	PROPN
ejpam-3711	287	33	,	,	PUNCT
ejpam-3711	287	34	x	x	X
ejpam-3711	287	35	t∗m(y;x	t∗m(y;x	NOUN
ejpam-3711	287	36	)	)	PUNCT
ejpam-3711	288	1	+	+	NUM
ejpam-3711	288	2	x2∆α	x2∆α	NUM
ejpam-3711	288	3	,	,	PUNCT
ejpam-3711	288	4	β	β	X
ejpam-3711	288	5	,	,	PUNCT
ejpam-3711	288	6	γ	γ	PROPN
ejpam-3711	288	7	h	h	PROPN
ejpam-3711	288	8	,	,	PUNCT
ejpam-3711	288	9	x	x	PROPN
ejpam-3711	288	10	t∗m(1;x	t∗m(1;x	PROPN
ejpam-3711	288	11	)	)	PUNCT
ejpam-3711	288	12	,	,	PUNCT
ejpam-3711	288	13	we	we	PRON
ejpam-3711	288	14	can	can	AUX
ejpam-3711	288	15	write	write	VERB
ejpam-3711	288	16	∆α	∆α	PROPN
ejpam-3711	288	17	,	,	PUNCT
ejpam-3711	288	18	β	β	X
ejpam-3711	288	19	,	,	PUNCT
ejpam-3711	288	20	γ	γ	PROPN
ejpam-3711	288	21	h	h	PROPN
ejpam-3711	288	22	,	,	PUNCT
ejpam-3711	288	23	x	x	X
ejpam-3711	288	24	t∗m(θ2;x	t∗m(θ2;x	X
ejpam-3711	288	25	)	)	PUNCT
ejpam-3711	288	26	5	5	NUM
ejpam-3711	288	27	κ	κ	NOUN
ejpam-3711	288	28	2∑	2∑	NUM
ejpam-3711	288	29	i=0	i=0	PROPN
ejpam-3711	288	30	|∆α	|∆α	PROPN
ejpam-3711	288	31	,	,	PUNCT
ejpam-3711	288	32	β	β	X
ejpam-3711	288	33	,	,	PUNCT
ejpam-3711	288	34	γ	γ	PROPN
ejpam-3711	288	35	h	h	NOUN
ejpam-3711	288	36	,	,	PUNCT
ejpam-3711	288	37	x	x	PROPN
ejpam-3711	288	38	t∗m(fi;x)−	t∗m(fi;x)−	PROPN
ejpam-3711	288	39	fi(x)|	fi(x)|	NOUN
ejpam-3711	288	40	,	,	PUNCT
ejpam-3711	288	41	(	(	PUNCT
ejpam-3711	288	42	24	24	NUM
ejpam-3711	288	43	)	)	PUNCT
ejpam-3711	288	44	where	where	SCONJ
ejpam-3711	288	45	κ	κ	NOUN
ejpam-3711	288	46	=	=	NOUN
ejpam-3711	288	47	1	1	NUM
ejpam-3711	288	48	+	+	CCONJ
ejpam-3711	288	49	2‖f1‖cf	2‖f1‖cf	NUM
ejpam-3711	288	50	(	(	PUNCT
ejpam-3711	288	51	e	e	NOUN
ejpam-3711	288	52	)	)	PUNCT
ejpam-3711	289	1	+	+	NUM
ejpam-3711	289	2	‖f2‖cf	‖f2‖cf	X
ejpam-3711	289	3	(	(	PUNCT
ejpam-3711	289	4	e	e	NOUN
ejpam-3711	289	5	)	)	PUNCT
ejpam-3711	289	6	.	.	PUNCT
ejpam-3711	290	1	clearly	clearly	ADV
ejpam-3711	290	2	,	,	PUNCT
ejpam-3711	290	3	from	from	ADP
ejpam-3711	290	4	(	(	PUNCT
ejpam-3711	290	5	23	23	NUM
ejpam-3711	290	6	)	)	PUNCT
ejpam-3711	290	7	,	,	PUNCT
ejpam-3711	290	8	(	(	PUNCT
ejpam-3711	290	9	24	24	NUM
ejpam-3711	290	10	)	)	PUNCT
ejpam-3711	290	11	and	and	CCONJ
ejpam-3711	290	12	lemma	lemma	PROPN
ejpam-3711	290	13	2	2	NUM
ejpam-3711	290	14	,	,	PUNCT
ejpam-3711	290	15	it	it	PRON
ejpam-3711	290	16	follows	follow	VERB
ejpam-3711	290	17	that	that	SCONJ
ejpam-3711	290	18	strwequi(∆	strwequi(∆	PROPN
ejpam-3711	290	19	α	α	NOUN
ejpam-3711	290	20	,	,	PUNCT
ejpam-3711	290	21	β	β	X
ejpam-3711	290	22	,	,	PUNCT
ejpam-3711	290	23	γ	γ	PROPN
ejpam-3711	290	24	h	h	PROPN
ejpam-3711	290	25	,	,	PUNCT
ejpam-3711	290	26	x	x	NOUN
ejpam-3711	290	27	)	)	PUNCT
ejpam-3711	290	28	δn	δn	NOUN
ejpam-3711	290	29	=	=	SYM
ejpam-3711	290	30	strwequi(∆	strwequi(∆	PROPN
ejpam-3711	290	31	α	α	NOUN
ejpam-3711	290	32	,	,	PUNCT
ejpam-3711	290	33	β	β	X
ejpam-3711	290	34	,	,	PUNCT
ejpam-3711	290	35	γ	γ	PROPN
ejpam-3711	290	36	h	h	PROPN
ejpam-3711	290	37	,	,	PUNCT
ejpam-3711	290	38	x	x	SYM
ejpam-3711	290	39	)	)	PUNCT
ejpam-3711	290	40	√	√	ADP
ejpam-3711	290	41	t∗m(θ2	t∗m(θ2	ADJ
ejpam-3711	290	42	)	)	PUNCT
ejpam-3711	290	43	=	=	SYM
ejpam-3711	291	1	o(un	o(un	NUM
ejpam-3711	291	2	)	)	PUNCT
ejpam-3711	291	3	on	on	ADP
ejpam-3711	291	4	(	(	PUNCT
ejpam-3711	291	5	e;σ	e;σ	NUM
ejpam-3711	291	6	)	)	PUNCT
ejpam-3711	291	7	,	,	PUNCT
ejpam-3711	291	8	(	(	PUNCT
ejpam-3711	291	9	25	25	NUM
ejpam-3711	291	10	)	)	PUNCT
ejpam-3711	291	11	references	reference	NOUN
ejpam-3711	291	12	1227	1227	NUM
ejpam-3711	291	13	where	where	SCONJ
ejpam-3711	291	14	o(un	o(un	NUM
ejpam-3711	291	15	)	)	PUNCT
ejpam-3711	291	16	=	=	SYM
ejpam-3711	291	17	max{un0	max{un0	NOUN
ejpam-3711	291	18	,	,	PUNCT
ejpam-3711	291	19	un1	un1	PROPN
ejpam-3711	291	20	,	,	PUNCT
ejpam-3711	291	21	un2	un2	PROPN
ejpam-3711	291	22	}	}	PUNCT
ejpam-3711	291	23	.	.	PUNCT
ejpam-3711	292	1	thus	thus	ADV
ejpam-3711	292	2	,	,	PUNCT
ejpam-3711	292	3	definitely	definitely	ADV
ejpam-3711	292	4	,	,	PUNCT
ejpam-3711	292	5	we	we	PRON
ejpam-3711	292	6	obtain	obtain	VERB
ejpam-3711	292	7	strwequi(∆	strwequi(∆	NUM
ejpam-3711	292	8	α	α	NOUN
ejpam-3711	292	9	,	,	PUNCT
ejpam-3711	292	10	β	β	X
ejpam-3711	292	11	,	,	PUNCT
ejpam-3711	292	12	γ	γ	PROPN
ejpam-3711	292	13	h	h	PROPN
ejpam-3711	292	14	,	,	PUNCT
ejpam-3711	292	15	x	x	PUNCT
ejpam-3711	292	16	)	)	PUNCT
ejpam-3711	292	17	ωf	ωf	PROPN
ejpam-3711	292	18	(	(	PUNCT
ejpam-3711	292	19	f	f	PROPN
ejpam-3711	292	20	,	,	PUNCT
ejpam-3711	292	21	δ	δ	PROPN
ejpam-3711	292	22	)	)	PUNCT
ejpam-3711	292	23	=	=	SYM
ejpam-3711	292	24	o(un	o(un	NUM
ejpam-3711	292	25	)	)	PUNCT
ejpam-3711	292	26	on	on	ADP
ejpam-3711	292	27	(	(	PUNCT
ejpam-3711	292	28	e;σ	e;σ	NUM
ejpam-3711	292	29	)	)	PUNCT
ejpam-3711	292	30	.	.	PUNCT
ejpam-3711	293	1	by	by	ADP
ejpam-3711	293	2	applying	apply	VERB
ejpam-3711	293	3	(	(	PUNCT
ejpam-3711	293	4	25	25	NUM
ejpam-3711	293	5	)	)	PUNCT
ejpam-3711	293	6	in	in	ADP
ejpam-3711	293	7	theorem	theorem	NOUN
ejpam-3711	293	8	2	2	NUM
ejpam-3711	293	9	,	,	PUNCT
ejpam-3711	293	10	we	we	PRON
ejpam-3711	293	11	instantly	instantly	ADV
ejpam-3711	293	12	see	see	VERB
ejpam-3711	293	13	that	that	SCONJ
ejpam-3711	293	14	,	,	PUNCT
ejpam-3711	293	15	∀	∀	PUNCT
ejpam-3711	293	16	f	f	X
ejpam-3711	293	17	∈	∈	PROPN
ejpam-3711	293	18	cf	cf	NOUN
ejpam-3711	293	19	(	(	PUNCT
ejpam-3711	293	20	e	e	NOUN
ejpam-3711	293	21	)	)	PUNCT
ejpam-3711	293	22	,	,	PUNCT
ejpam-3711	293	23	strwequi(∆	strwequi(∆	PROPN
ejpam-3711	293	24	α	α	NOUN
ejpam-3711	293	25	,	,	PUNCT
ejpam-3711	293	26	β	β	X
ejpam-3711	293	27	,	,	PUNCT
ejpam-3711	293	28	γ	γ	PROPN
ejpam-3711	293	29	h	h	PROPN
ejpam-3711	293	30	,	,	PUNCT
ejpam-3711	293	31	x	x	X
ejpam-3711	293	32	)	)	PUNCT
ejpam-3711	293	33	d∗	d∗	PROPN
ejpam-3711	293	34	(	(	PUNCT
ejpam-3711	293	35	tm(f	tm(f	NOUN
ejpam-3711	293	36	)	)	PUNCT
ejpam-3711	293	37	,	,	PUNCT
ejpam-3711	293	38	f	f	X
ejpam-3711	293	39	)	)	PUNCT
ejpam-3711	294	1	=	=	SYM
ejpam-3711	294	2	o(un	o(un	NUM
ejpam-3711	294	3	)	)	PUNCT
ejpam-3711	294	4	on	on	ADP
ejpam-3711	294	5	(	(	PUNCT
ejpam-3711	294	6	e;σ	e;σ	NUM
ejpam-3711	294	7	)	)	PUNCT
ejpam-3711	294	8	.	.	PUNCT
ejpam-3711	295	1	(	(	PUNCT
ejpam-3711	295	2	26	26	NUM
ejpam-3711	295	3	)	)	PUNCT
ejpam-3711	295	4	therefore	therefore	ADV
ejpam-3711	295	5	,	,	PUNCT
ejpam-3711	295	6	instead	instead	ADV
ejpam-3711	295	7	of	of	ADP
ejpam-3711	295	8	conditions	condition	NOUN
ejpam-3711	295	9	(	(	PUNCT
ejpam-3711	295	10	i	i	NOUN
ejpam-3711	295	11	)	)	PUNCT
ejpam-3711	295	12	and	and	CCONJ
ejpam-3711	295	13	(	(	PUNCT
ejpam-3711	295	14	ii	ii	NOUN
ejpam-3711	295	15	)	)	PUNCT
ejpam-3711	295	16	of	of	ADP
ejpam-3711	295	17	theorem	theorem	NOUN
ejpam-3711	295	18	2	2	NUM
ejpam-3711	295	19	,	,	PUNCT
ejpam-3711	295	20	if	if	SCONJ
ejpam-3711	295	21	we	we	PRON
ejpam-3711	295	22	use	use	VERB
ejpam-3711	295	23	the	the	DET
ejpam-3711	295	24	condition	condition	NOUN
ejpam-3711	295	25	(	(	PUNCT
ejpam-3711	295	26	23	23	NUM
ejpam-3711	295	27	)	)	PUNCT
ejpam-3711	295	28	,	,	PUNCT
ejpam-3711	295	29	then	then	ADV
ejpam-3711	295	30	we	we	PRON
ejpam-3711	295	31	certainly	certainly	ADV
ejpam-3711	295	32	find	find	VERB
ejpam-3711	295	33	the	the	DET
ejpam-3711	295	34	fuzzy	fuzzy	ADJ
ejpam-3711	295	35	rates	rate	NOUN
ejpam-3711	295	36	of	of	ADP
ejpam-3711	295	37	the	the	DET
ejpam-3711	295	38	relatively	relatively	ADV
ejpam-3711	295	39	strwequi(∆	strwequi(∆	PROPN
ejpam-3711	295	40	α	α	NOUN
ejpam-3711	295	41	,	,	PUNCT
ejpam-3711	295	42	β	β	X
ejpam-3711	295	43	,	,	PUNCT
ejpam-3711	295	44	γ	γ	PROPN
ejpam-3711	295	45	h	h	PROPN
ejpam-3711	295	46	,	,	PUNCT
ejpam-3711	295	47	x	x	NOUN
ejpam-3711	295	48	)	)	PUNCT
ejpam-3711	295	49	-equi	-equi	NOUN
ejpam-3711	295	50	-	-	ADJ
ejpam-3711	295	51	statistical	statistical	ADJ
ejpam-3711	295	52	convergence	convergence	NOUN
ejpam-3711	295	53	for	for	ADP
ejpam-3711	295	54	the	the	DET
ejpam-3711	295	55	sequence	sequence	NOUN
ejpam-3711	295	56	(	(	PUNCT
ejpam-3711	295	57	t∗m	t∗m	NUM
ejpam-3711	295	58	)	)	PUNCT
ejpam-3711	295	59	of	of	ADP
ejpam-3711	295	60	fuzzy	fuzzy	ADJ
ejpam-3711	295	61	positive	positive	ADJ
ejpam-3711	295	62	linear	linear	NOUN
ejpam-3711	295	63	operators	operator	NOUN
ejpam-3711	295	64	in	in	ADP
ejpam-3711	295	65	our	our	PRON
ejpam-3711	295	66	theorem	theorem	NOUN
ejpam-3711	295	67	1	1	NUM
ejpam-3711	295	68	.	.	PUNCT
ejpam-3711	296	1	acknowledgements	acknowledgement	NOUN
ejpam-3711	296	2	the	the	DET
ejpam-3711	296	3	authors	author	NOUN
ejpam-3711	296	4	would	would	AUX
ejpam-3711	296	5	like	like	VERB
ejpam-3711	296	6	to	to	PART
ejpam-3711	296	7	keep	keep	VERB
ejpam-3711	296	8	the	the	DET
ejpam-3711	296	9	record	record	NOUN
ejpam-3711	296	10	of	of	ADP
ejpam-3711	296	11	the	the	DET
ejpam-3711	296	12	80th	80th	ADJ
ejpam-3711	296	13	birthday	birthday	NOUN
ejpam-3711	296	14	of	of	ADP
ejpam-3711	296	15	prof	prof	NOUN
ejpam-3711	296	16	.	.	PUNCT
ejpam-3711	297	1	h.	h.	PROPN
ejpam-3711	297	2	m.	m.	PROPN
ejpam-3711	297	3	srivastava	srivastava	PROPN
ejpam-3711	297	4	for	for	ADP
ejpam-3711	297	5	his	his	PRON
ejpam-3711	297	6	tremendous	tremendous	ADJ
ejpam-3711	297	7	contribution	contribution	NOUN
ejpam-3711	297	8	to	to	ADP
ejpam-3711	297	9	many	many	ADJ
ejpam-3711	297	10	significant	significant	ADJ
ejpam-3711	297	11	developments	development	NOUN
ejpam-3711	297	12	in	in	ADP
ejpam-3711	297	13	mathematical	mathematical	ADJ
ejpam-3711	297	14	research	research	NOUN
ejpam-3711	297	15	.	.	PUNCT
ejpam-3711	298	1	also	also	ADV
ejpam-3711	298	2	,	,	PUNCT
ejpam-3711	298	3	the	the	DET
ejpam-3711	298	4	authors	author	NOUN
ejpam-3711	298	5	express	express	VERB
ejpam-3711	298	6	their	their	PRON
ejpam-3711	298	7	heartfelt	heartfelt	ADJ
ejpam-3711	298	8	thanks	thank	NOUN
ejpam-3711	298	9	to	to	ADP
ejpam-3711	298	10	the	the	DET
ejpam-3711	298	11	editors	editor	NOUN
ejpam-3711	298	12	and	and	CCONJ
ejpam-3711	298	13	anonymous	anonymous	ADJ
ejpam-3711	298	14	referees	referee	NOUN
ejpam-3711	298	15	for	for	ADP
ejpam-3711	298	16	their	their	PRON
ejpam-3711	298	17	most	most	ADV
ejpam-3711	298	18	valuable	valuable	ADJ
ejpam-3711	298	19	comments	comment	NOUN
ejpam-3711	298	20	and	and	CCONJ
ejpam-3711	298	21	constructive	constructive	ADJ
ejpam-3711	298	22	suggestions	suggestion	NOUN
ejpam-3711	298	23	which	which	PRON
ejpam-3711	298	24	leads	lead	VERB
ejpam-3711	298	25	to	to	ADP
ejpam-3711	298	26	the	the	DET
ejpam-3711	298	27	improvement	improvement	NOUN
ejpam-3711	298	28	of	of	ADP
ejpam-3711	298	29	the	the	DET
ejpam-3711	298	30	earlier	early	ADJ
ejpam-3711	298	31	version	version	NOUN
ejpam-3711	298	32	of	of	ADP
ejpam-3711	298	33	the	the	DET
ejpam-3711	298	34	manuscript	manuscript	NOUN
ejpam-3711	298	35	.	.	PUNCT
ejpam-3711	299	1	conflicts	conflict	NOUN
ejpam-3711	299	2	of	of	ADP
ejpam-3711	299	3	interest	interest	NOUN
ejpam-3711	299	4	:	:	PUNCT
ejpam-3711	299	5	the	the	DET
ejpam-3711	299	6	authors	author	NOUN
ejpam-3711	299	7	declare	declare	VERB
ejpam-3711	299	8	that	that	SCONJ
ejpam-3711	299	9	they	they	PRON
ejpam-3711	299	10	have	have	VERB
ejpam-3711	299	11	no	no	DET
ejpam-3711	299	12	conflicts	conflict	NOUN
ejpam-3711	299	13	of	of	ADP
ejpam-3711	299	14	interest	interest	NOUN
ejpam-3711	299	15	.	.	PUNCT
ejpam-3711	300	1	references	reference	NOUN
ejpam-3711	300	2	[	[	X
ejpam-3711	300	3	1	1	NUM
ejpam-3711	300	4	]	]	PUNCT
ejpam-3711	300	5	r.	r.	PROPN
ejpam-3711	300	6	p.	p.	PROPN
ejpam-3711	300	7	agnew	agnew	PROPN
ejpam-3711	300	8	.	.	PUNCT
ejpam-3711	301	1	on	on	ADP
ejpam-3711	301	2	deferred	deferred	ADJ
ejpam-3711	301	3	cesàro	cesàro	PROPN
ejpam-3711	301	4	means	mean	NOUN
ejpam-3711	301	5	.	.	PUNCT
ejpam-3711	302	1	ann	ann	PROPN
ejpam-3711	302	2	.	.	PUNCT
ejpam-3711	302	3	math	math	PROPN
ejpam-3711	302	4	.	.	PUNCT
ejpam-3711	302	5	,	,	PUNCT
ejpam-3711	303	1	33:413–421	33:413–421	NUM
ejpam-3711	303	2	,	,	PUNCT
ejpam-3711	303	3	1932	1932	NUM
ejpam-3711	303	4	.	.	PUNCT
ejpam-3711	304	1	[	[	X
ejpam-3711	304	2	2	2	X
ejpam-3711	304	3	]	]	X
ejpam-3711	304	4	g.	g.	PROPN
ejpam-3711	304	5	a.	a.	PROPN
ejpam-3711	304	6	anastassiou	anastassiou	PROPN
ejpam-3711	304	7	.	.	PUNCT
ejpam-3711	305	1	on	on	ADP
ejpam-3711	305	2	basic	basic	ADJ
ejpam-3711	305	3	fuzzy	fuzzy	ADJ
ejpam-3711	305	4	korovkin	korovkin	NOUN
ejpam-3711	305	5	theory	theory	NOUN
ejpam-3711	305	6	.	.	PUNCT
ejpam-3711	306	1	stud	stud	PROPN
ejpam-3711	306	2	.	.	PUNCT
ejpam-3711	307	1	univ	univ	PROPN
ejpam-3711	307	2	.	.	PUNCT
ejpam-3711	308	1	babeş-bolyai	babeş-bolyai	PROPN
ejpam-3711	308	2	math	math	NOUN
ejpam-3711	308	3	.	.	PUNCT
ejpam-3711	308	4	,	,	PUNCT
ejpam-3711	308	5	50:3–10	50:3–10	NUM
ejpam-3711	308	6	,	,	PUNCT
ejpam-3711	308	7	2005	2005	NUM
ejpam-3711	308	8	.	.	PUNCT
ejpam-3711	309	1	[	[	X
ejpam-3711	309	2	3	3	X
ejpam-3711	309	3	]	]	X
ejpam-3711	309	4	g.	g.	PROPN
ejpam-3711	309	5	a.	a.	PROPN
ejpam-3711	309	6	anastassiou	anastassiou	PROPN
ejpam-3711	309	7	and	and	CCONJ
ejpam-3711	309	8	o.	o.	PROPN
ejpam-3711	309	9	duman	duman	PROPN
ejpam-3711	309	10	.	.	PUNCT
ejpam-3711	310	1	statistical	statistical	ADJ
ejpam-3711	310	2	fuzzy	fuzzy	ADJ
ejpam-3711	310	3	approximation	approximation	NOUN
ejpam-3711	310	4	by	by	ADP
ejpam-3711	310	5	fuzzy	fuzzy	ADJ
ejpam-3711	310	6	positive	positive	ADJ
ejpam-3711	310	7	linear	linear	PROPN
ejpam-3711	310	8	operators	operator	NOUN
ejpam-3711	310	9	.	.	PUNCT
ejpam-3711	311	1	comput	comput	NOUN
ejpam-3711	311	2	.	.	PUNCT
ejpam-3711	312	1	math	math	NOUN
ejpam-3711	312	2	.	.	PUNCT
ejpam-3711	313	1	appl	appl	PROPN
ejpam-3711	313	2	.	.	PROPN
ejpam-3711	313	3	,	,	PUNCT
ejpam-3711	314	1	55:573–580	55:573–580	NUM
ejpam-3711	314	2	,	,	PUNCT
ejpam-3711	314	3	2008	2008	NUM
ejpam-3711	314	4	.	.	PUNCT
ejpam-3711	315	1	[	[	X
ejpam-3711	315	2	4	4	X
ejpam-3711	315	3	]	]	PUNCT
ejpam-3711	315	4	f.	f.	PROPN
ejpam-3711	315	5	başar	başar	PROPN
ejpam-3711	315	6	.	.	PUNCT
ejpam-3711	316	1	summability	summability	NOUN
ejpam-3711	316	2	theory	theory	NOUN
ejpam-3711	316	3	and	and	CCONJ
ejpam-3711	316	4	its	its	PRON
ejpam-3711	316	5	applications	application	NOUN
ejpam-3711	316	6	.	.	PUNCT
ejpam-3711	317	1	bentham	bentham	PROPN
ejpam-3711	317	2	science	science	PROPN
ejpam-3711	317	3	publishers	publisher	NOUN
ejpam-3711	317	4	,	,	PUNCT
ejpam-3711	317	5	istanbul	istanbul	PROPN
ejpam-3711	317	6	,	,	PUNCT
ejpam-3711	317	7	turkey	turkey	PROPN
ejpam-3711	317	8	,	,	PUNCT
ejpam-3711	317	9	2012	2012	NUM
ejpam-3711	317	10	.	.	PUNCT
ejpam-3711	318	1	[	[	X
ejpam-3711	318	2	5	5	NUM
ejpam-3711	318	3	]	]	PUNCT
ejpam-3711	318	4	m.	m.	NOUN
ejpam-3711	318	5	balcerzak	balcerzak	NOUN
ejpam-3711	318	6	,	,	PUNCT
ejpam-3711	318	7	k.	k.	PROPN
ejpam-3711	318	8	dems	dems	PROPN
ejpam-3711	318	9	,	,	PUNCT
ejpam-3711	318	10	and	and	CCONJ
ejpam-3711	318	11	a.	a.	NOUN
ejpam-3711	318	12	komisarski	komisarski	PROPN
ejpam-3711	318	13	.	.	PUNCT
ejpam-3711	319	1	statistical	statistical	ADJ
ejpam-3711	319	2	convergence	convergence	NOUN
ejpam-3711	319	3	and	and	CCONJ
ejpam-3711	319	4	ideal	ideal	ADJ
ejpam-3711	319	5	convergence	convergence	NOUN
ejpam-3711	319	6	for	for	ADP
ejpam-3711	319	7	sequences	sequence	NOUN
ejpam-3711	319	8	of	of	ADP
ejpam-3711	319	9	functions	function	NOUN
ejpam-3711	319	10	.	.	PUNCT
ejpam-3711	320	1	j.	j.	PROPN
ejpam-3711	320	2	math	math	PROPN
ejpam-3711	320	3	.	.	PUNCT
ejpam-3711	321	1	anal	anal	PROPN
ejpam-3711	321	2	.	.	PUNCT
ejpam-3711	322	1	appl	appl	PROPN
ejpam-3711	322	2	.	.	PROPN
ejpam-3711	322	3	,	,	PUNCT
ejpam-3711	322	4	328:715–729	328:715–729	NUM
ejpam-3711	322	5	,	,	PUNCT
ejpam-3711	322	6	2007	2007	NUM
ejpam-3711	322	7	.	.	PUNCT
ejpam-3711	323	1	[	[	X
ejpam-3711	323	2	6	6	NUM
ejpam-3711	323	3	]	]	PUNCT
ejpam-3711	323	4	p.	p.	NOUN
ejpam-3711	323	5	baliarsingh	baliarsingh	NOUN
ejpam-3711	323	6	.	.	PUNCT
ejpam-3711	324	1	some	some	DET
ejpam-3711	324	2	new	new	ADJ
ejpam-3711	324	3	difference	difference	NOUN
ejpam-3711	324	4	sequence	sequence	NOUN
ejpam-3711	324	5	spaces	space	NOUN
ejpam-3711	324	6	of	of	ADP
ejpam-3711	324	7	fractional	fractional	ADJ
ejpam-3711	324	8	order	order	NOUN
ejpam-3711	324	9	and	and	CCONJ
ejpam-3711	324	10	their	their	PRON
ejpam-3711	324	11	dual	dual	ADJ
ejpam-3711	324	12	spaces	space	NOUN
ejpam-3711	324	13	.	.	PUNCT
ejpam-3711	325	1	appl	appl	PROPN
ejpam-3711	325	2	.	.	PROPN
ejpam-3711	325	3	math	math	PROPN
ejpam-3711	325	4	.	.	PUNCT
ejpam-3711	326	1	comput	comput	NOUN
ejpam-3711	326	2	.	.	PUNCT
ejpam-3711	326	3	,	,	PUNCT
ejpam-3711	326	4	219:9737–9742	219:9737–9742	NUM
ejpam-3711	326	5	,	,	PUNCT
ejpam-3711	326	6	2013	2013	NUM
ejpam-3711	326	7	.	.	PUNCT
ejpam-3711	327	1	[	[	X
ejpam-3711	327	2	7	7	X
ejpam-3711	327	3	]	]	PUNCT
ejpam-3711	327	4	p.	p.	NOUN
ejpam-3711	327	5	baliarsingh	baliarsingh	NOUN
ejpam-3711	327	6	.	.	PUNCT
ejpam-3711	328	1	on	on	ADP
ejpam-3711	328	2	a	a	DET
ejpam-3711	328	3	fractional	fractional	ADJ
ejpam-3711	328	4	difference	difference	NOUN
ejpam-3711	328	5	operator	operator	NOUN
ejpam-3711	328	6	.	.	PUNCT
ejpam-3711	329	1	alex	alex	PROPN
ejpam-3711	329	2	.	.	PUNCT
ejpam-3711	330	1	eng	eng	PROPN
ejpam-3711	330	2	.	.	PUNCT
ejpam-3711	331	1	j.	j.	PROPN
ejpam-3711	331	2	,	,	PUNCT
ejpam-3711	331	3	55:1811–1816	55:1811–1816	PROPN
ejpam-3711	331	4	,	,	PUNCT
ejpam-3711	331	5	2016	2016	NUM
ejpam-3711	331	6	.	.	PUNCT
ejpam-3711	332	1	[	[	X
ejpam-3711	332	2	8	8	NUM
ejpam-3711	332	3	]	]	X
ejpam-3711	332	4	c.	c.	PROPN
ejpam-3711	332	5	a.	a.	PROPN
ejpam-3711	332	6	bektaş	bektaş	PROPN
ejpam-3711	332	7	,	,	PUNCT
ejpam-3711	332	8	m.	m.	NOUN
ejpam-3711	332	9	et	et	PROPN
ejpam-3711	332	10	,	,	PUNCT
ejpam-3711	332	11	and	and	CCONJ
ejpam-3711	332	12	r.	r.	PROPN
ejpam-3711	332	13	çolak	çolak	PROPN
ejpam-3711	332	14	.	.	PUNCT
ejpam-3711	333	1	generalized	generalized	ADJ
ejpam-3711	333	2	difference	difference	NOUN
ejpam-3711	333	3	sequence	sequence	NOUN
ejpam-3711	333	4	spaces	space	NOUN
ejpam-3711	333	5	and	and	CCONJ
ejpam-3711	333	6	their	their	PRON
ejpam-3711	333	7	dual	dual	ADJ
ejpam-3711	333	8	spaces	space	NOUN
ejpam-3711	333	9	.	.	PUNCT
ejpam-3711	334	1	j.	j.	PROPN
ejpam-3711	334	2	math	math	PROPN
ejpam-3711	334	3	.	.	PUNCT
ejpam-3711	335	1	anal	anal	PROPN
ejpam-3711	335	2	.	.	PUNCT
ejpam-3711	335	3	appl	appl	PROPN
ejpam-3711	335	4	.	.	PROPN
ejpam-3711	335	5	,	,	PUNCT
ejpam-3711	335	6	292:423–432	292:423–432	NUM
ejpam-3711	335	7	,	,	PUNCT
ejpam-3711	335	8	2004	2004	NUM
ejpam-3711	335	9	.	.	PUNCT
ejpam-3711	336	1	references	reference	NOUN
ejpam-3711	336	2	1228	1228	NUM
ejpam-3711	336	3	[	[	X
ejpam-3711	336	4	9	9	NUM
ejpam-3711	336	5	]	]	PUNCT
ejpam-3711	336	6	c.	c.	NOUN
ejpam-3711	336	7	belen	belen	PROPN
ejpam-3711	336	8	and	and	CCONJ
ejpam-3711	336	9	s.	s.	PROPN
ejpam-3711	336	10	a.	a.	PROPN
ejpam-3711	336	11	mohiuddine	mohiuddine	PROPN
ejpam-3711	336	12	.	.	PUNCT
ejpam-3711	337	1	generalized	generalize	VERB
ejpam-3711	337	2	statistical	statistical	ADJ
ejpam-3711	337	3	convergence	convergence	NOUN
ejpam-3711	337	4	and	and	CCONJ
ejpam-3711	337	5	application	application	NOUN
ejpam-3711	337	6	.	.	PUNCT
ejpam-3711	338	1	appl	appl	PROPN
ejpam-3711	338	2	.	.	PROPN
ejpam-3711	338	3	math	math	PROPN
ejpam-3711	338	4	.	.	PUNCT
ejpam-3711	339	1	comput	comput	NOUN
ejpam-3711	339	2	.	.	PUNCT
ejpam-3711	339	3	,	,	PUNCT
ejpam-3711	339	4	219:9821–9826	219:9821–9826	NUM
ejpam-3711	339	5	,	,	PUNCT
ejpam-3711	339	6	2013	2013	NUM
ejpam-3711	339	7	.	.	PUNCT
ejpam-3711	340	1	[	[	X
ejpam-3711	340	2	10	10	NUM
ejpam-3711	340	3	]	]	X
ejpam-3711	340	4	n.	n.	PROPN
ejpam-3711	340	5	l.	l.	PROPN
ejpam-3711	340	6	braha	braha	PROPN
ejpam-3711	340	7	,	,	PUNCT
ejpam-3711	340	8	h.	h.	PROPN
ejpam-3711	340	9	m.	m.	PROPN
ejpam-3711	340	10	srivastava	srivastava	PROPN
ejpam-3711	340	11	,	,	PUNCT
ejpam-3711	340	12	and	and	CCONJ
ejpam-3711	340	13	s.	s.	PROPN
ejpam-3711	340	14	a.	a.	PROPN
ejpam-3711	340	15	mohiuddine	mohiuddine	PROPN
ejpam-3711	340	16	.	.	PUNCT
ejpam-3711	341	1	a	a	DET
ejpam-3711	341	2	korovkin	korovkin	NOUN
ejpam-3711	341	3	’s	’s	PART
ejpam-3711	341	4	type	type	NOUN
ejpam-3711	341	5	approximation	approximation	NOUN
ejpam-3711	341	6	theorem	theorem	NOUN
ejpam-3711	341	7	for	for	ADP
ejpam-3711	341	8	periodic	periodic	ADJ
ejpam-3711	341	9	functions	function	NOUN
ejpam-3711	341	10	via	via	ADP
ejpam-3711	341	11	the	the	DET
ejpam-3711	341	12	statistical	statistical	ADJ
ejpam-3711	341	13	summability	summability	NOUN
ejpam-3711	341	14	of	of	ADP
ejpam-3711	341	15	the	the	DET
ejpam-3711	341	16	generalized	generalize	VERB
ejpam-3711	341	17	de	de	PROPN
ejpam-3711	341	18	la	la	X
ejpam-3711	341	19	vallée	vallée	PROPN
ejpam-3711	341	20	poussin	poussin	PROPN
ejpam-3711	341	21	mean	mean	VERB
ejpam-3711	341	22	.	.	PUNCT
ejpam-3711	342	1	appl	appl	PROPN
ejpam-3711	342	2	.	.	PROPN
ejpam-3711	342	3	math	math	PROPN
ejpam-3711	342	4	.	.	PUNCT
ejpam-3711	343	1	comput	comput	NOUN
ejpam-3711	343	2	.	.	PUNCT
ejpam-3711	343	3	,	,	PUNCT
ejpam-3711	343	4	228:162–169	228:162–169	NUM
ejpam-3711	343	5	,	,	PUNCT
ejpam-3711	343	6	2014	2014	NUM
ejpam-3711	343	7	.	.	PUNCT
ejpam-3711	344	1	[	[	X
ejpam-3711	344	2	11	11	NUM
ejpam-3711	344	3	]	]	X
ejpam-3711	344	4	s.	s.	PROPN
ejpam-3711	344	5	chapman	chapman	PROPN
ejpam-3711	344	6	.	.	PUNCT
ejpam-3711	345	1	on	on	ADP
ejpam-3711	345	2	non	non	ADJ
ejpam-3711	345	3	-	-	ADJ
ejpam-3711	345	4	integral	integral	ADJ
ejpam-3711	345	5	orders	order	NOUN
ejpam-3711	345	6	of	of	ADP
ejpam-3711	345	7	summability	summability	NOUN
ejpam-3711	345	8	of	of	ADP
ejpam-3711	345	9	series	series	NOUN
ejpam-3711	345	10	and	and	CCONJ
ejpam-3711	345	11	integrals	integral	NOUN
ejpam-3711	345	12	.	.	PUNCT
ejpam-3711	346	1	proc	proc	NOUN
ejpam-3711	346	2	.	.	PUNCT
ejpam-3711	347	1	lond	lond	PROPN
ejpam-3711	347	2	.	.	PUNCT
ejpam-3711	348	1	math	math	NOUN
ejpam-3711	348	2	.	.	PUNCT
ejpam-3711	349	1	soc	soc	PROPN
ejpam-3711	349	2	.	.	PUNCT
ejpam-3711	349	3	,	,	PUNCT
ejpam-3711	349	4	2:369–409	2:369–409	NUM
ejpam-3711	349	5	,	,	PUNCT
ejpam-3711	349	6	1911	1911	NUM
ejpam-3711	349	7	.	.	PUNCT
ejpam-3711	350	1	[	[	X
ejpam-3711	350	2	12	12	NUM
ejpam-3711	350	3	]	]	PUNCT
ejpam-3711	350	4	e.	e.	PROPN
ejpam-3711	350	5	w.	w.	PROPN
ejpam-3711	350	6	chittenden	chittenden	PROPN
ejpam-3711	350	7	.	.	PUNCT
ejpam-3711	351	1	on	on	ADP
ejpam-3711	351	2	the	the	DET
ejpam-3711	351	3	limit	limit	NOUN
ejpam-3711	351	4	functions	function	NOUN
ejpam-3711	351	5	of	of	ADP
ejpam-3711	351	6	sequences	sequence	NOUN
ejpam-3711	351	7	of	of	ADP
ejpam-3711	351	8	continuous	continuous	ADJ
ejpam-3711	351	9	functions	function	NOUN
ejpam-3711	351	10	converging	converge	VERB
ejpam-3711	351	11	relatively	relatively	ADV
ejpam-3711	351	12	uniformly	uniformly	ADV
ejpam-3711	351	13	.	.	PUNCT
ejpam-3711	352	1	trans	tran	NOUN
ejpam-3711	352	2	.	.	PUNCT
ejpam-3711	353	1	ams	am	NOUN
ejpam-3711	353	2	,	,	PUNCT
ejpam-3711	353	3	20:179–184	20:179–184	PROPN
ejpam-3711	353	4	,	,	PUNCT
ejpam-3711	353	5	1919	1919	NUM
ejpam-3711	353	6	.	.	PUNCT
ejpam-3711	354	1	[	[	X
ejpam-3711	354	2	13	13	NUM
ejpam-3711	354	3	]	]	PUNCT
ejpam-3711	354	4	a.	a.	NOUN
ejpam-3711	354	5	a.	a.	NOUN
ejpam-3711	354	6	das	das	PROPN
ejpam-3711	354	7	,	,	PUNCT
ejpam-3711	354	8	b.	b.	PROPN
ejpam-3711	354	9	b.	b.	PROPN
ejpam-3711	354	10	jena	jena	PROPN
ejpam-3711	354	11	,	,	PUNCT
ejpam-3711	354	12	s.	s.	PROPN
ejpam-3711	354	13	k.	k.	PROPN
ejpam-3711	354	14	paikray	paikray	PROPN
ejpam-3711	354	15	,	,	PUNCT
ejpam-3711	354	16	and	and	CCONJ
ejpam-3711	354	17	r.	r.	PROPN
ejpam-3711	354	18	k.	k.	PROPN
ejpam-3711	354	19	jati	jati	PROPN
ejpam-3711	354	20	.	.	PUNCT
ejpam-3711	355	1	statistical	statistical	ADJ
ejpam-3711	355	2	deferred	defer	VERB
ejpam-3711	355	3	weighted	weight	VERB
ejpam-3711	355	4	summability	summability	NOUN
ejpam-3711	355	5	and	and	CCONJ
ejpam-3711	355	6	associated	associate	VERB
ejpam-3711	355	7	korovokin	korovokin	ADJ
ejpam-3711	355	8	-	-	PUNCT
ejpam-3711	355	9	type	type	NOUN
ejpam-3711	355	10	approximation	approximation	NOUN
ejpam-3711	355	11	theorem	theorem	NOUN
ejpam-3711	355	12	.	.	PUNCT
ejpam-3711	356	1	nonlinear	nonlinear	PROPN
ejpam-3711	356	2	sci	sci	PROPN
ejpam-3711	356	3	.	.	PROPN
ejpam-3711	356	4	lett	lett	PROPN
ejpam-3711	356	5	.	.	PUNCT
ejpam-3711	357	1	a	a	DET
ejpam-3711	357	2	,	,	PUNCT
ejpam-3711	357	3	9:238–245	9:238–245	NUM
ejpam-3711	357	4	,	,	PUNCT
ejpam-3711	357	5	2018	2018	NUM
ejpam-3711	357	6	.	.	PUNCT
ejpam-3711	358	1	[	[	X
ejpam-3711	358	2	14	14	NUM
ejpam-3711	358	3	]	]	PUNCT
ejpam-3711	358	4	a.	a.	NOUN
ejpam-3711	358	5	a.	a.	NOUN
ejpam-3711	358	6	das	das	PROPN
ejpam-3711	358	7	,	,	PUNCT
ejpam-3711	358	8	s.	s.	PROPN
ejpam-3711	358	9	k.	k.	PROPN
ejpam-3711	358	10	paikray	paikray	PROPN
ejpam-3711	358	11	,	,	PUNCT
ejpam-3711	358	12	t.	t.	PROPN
ejpam-3711	358	13	pradhan	pradhan	PROPN
ejpam-3711	358	14	,	,	PUNCT
ejpam-3711	358	15	and	and	CCONJ
ejpam-3711	358	16	h.	h.	PROPN
ejpam-3711	358	17	dutta	dutta	PROPN
ejpam-3711	358	18	.	.	PUNCT
ejpam-3711	359	1	statistical	statistical	ADJ
ejpam-3711	359	2	(	(	PUNCT
ejpam-3711	359	3	c	c	NOUN
ejpam-3711	359	4	,	,	PUNCT
ejpam-3711	359	5	1)(e	1)(e	NUM
ejpam-3711	359	6	,	,	PUNCT
ejpam-3711	359	7	µ)summablity	µ)summablity	NOUN
ejpam-3711	359	8	and	and	CCONJ
ejpam-3711	359	9	associated	associate	VERB
ejpam-3711	359	10	fuzzy	fuzzy	ADJ
ejpam-3711	359	11	approximation	approximation	NOUN
ejpam-3711	359	12	theorems	theorem	NOUN
ejpam-3711	359	13	with	with	ADP
ejpam-3711	359	14	statistical	statistical	ADJ
ejpam-3711	359	15	fuzzy	fuzzy	ADJ
ejpam-3711	359	16	rates	rate	NOUN
ejpam-3711	359	17	.	.	PUNCT
ejpam-3711	360	1	soft	soft	ADJ
ejpam-3711	360	2	comput	comput	NOUN
ejpam-3711	360	3	.	.	PUNCT
ejpam-3711	360	4	,	,	PUNCT
ejpam-3711	360	5	doi.org/10.1007/s00500-019-04591-2	doi.org/10.1007/s00500-019-04591-2	PROPN
ejpam-3711	360	6	,	,	PUNCT
ejpam-3711	360	7	2018	2018	NUM
ejpam-3711	360	8	.	.	PUNCT
ejpam-3711	361	1	[	[	X
ejpam-3711	361	2	15	15	NUM
ejpam-3711	361	3	]	]	PUNCT
ejpam-3711	361	4	a.	a.	NOUN
ejpam-3711	361	5	a.	a.	NOUN
ejpam-3711	361	6	das	das	PROPN
ejpam-3711	361	7	,	,	PUNCT
ejpam-3711	361	8	s.	s.	PROPN
ejpam-3711	361	9	k.	k.	PROPN
ejpam-3711	361	10	paikray	paikray	PROPN
ejpam-3711	361	11	,	,	PUNCT
ejpam-3711	361	12	t.	t.	PROPN
ejpam-3711	361	13	pradhan	pradhan	PROPN
ejpam-3711	361	14	,	,	PUNCT
ejpam-3711	361	15	and	and	CCONJ
ejpam-3711	361	16	h.	h.	PROPN
ejpam-3711	361	17	dutta	dutta	PROPN
ejpam-3711	361	18	.	.	PUNCT
ejpam-3711	362	1	approximation	approximation	NOUN
ejpam-3711	362	2	of	of	ADP
ejpam-3711	362	3	signals	signal	NOUN
ejpam-3711	362	4	in	in	ADP
ejpam-3711	362	5	the	the	DET
ejpam-3711	362	6	weighted	weight	VERB
ejpam-3711	362	7	zygmund	zygmund	PROPN
ejpam-3711	362	8	class	class	PROPN
ejpam-3711	362	9	via	via	ADP
ejpam-3711	362	10	euler	euler	NOUN
ejpam-3711	362	11	-	-	PUNCT
ejpam-3711	362	12	hausdorff	hausdorff	NOUN
ejpam-3711	362	13	product	product	NOUN
ejpam-3711	362	14	summability	summability	NOUN
ejpam-3711	362	15	mean	mean	NOUN
ejpam-3711	362	16	of	of	ADP
ejpam-3711	362	17	fourier	fourier	ADJ
ejpam-3711	362	18	series	series	PROPN
ejpam-3711	362	19	.	.	PUNCT
ejpam-3711	363	1	journal	journal	PROPN
ejpam-3711	363	2	indian	indian	PROPN
ejpam-3711	363	3	math	math	PROPN
ejpam-3711	363	4	.	.	PUNCT
ejpam-3711	364	1	soc	soc	PROPN
ejpam-3711	364	2	.	.	PUNCT
ejpam-3711	364	3	,	,	PUNCT
ejpam-3711	364	4	86:296–314	86:296–314	PROPN
ejpam-3711	364	5	,	,	PUNCT
ejpam-3711	364	6	2019	2019	NUM
ejpam-3711	364	7	.	.	PUNCT
ejpam-3711	365	1	[	[	X
ejpam-3711	365	2	16	16	NUM
ejpam-3711	365	3	]	]	PUNCT
ejpam-3711	365	4	k.	k.	PROPN
ejpam-3711	365	5	demirci	demirci	PROPN
ejpam-3711	365	6	and	and	CCONJ
ejpam-3711	365	7	s.	s.	PROPN
ejpam-3711	365	8	orhan	orhan	PROPN
ejpam-3711	365	9	.	.	PUNCT
ejpam-3711	366	1	statistically	statistically	ADV
ejpam-3711	366	2	relatively	relatively	ADV
ejpam-3711	366	3	uniform	uniform	ADJ
ejpam-3711	366	4	convergence	convergence	NOUN
ejpam-3711	366	5	of	of	ADP
ejpam-3711	366	6	positive	positive	ADJ
ejpam-3711	366	7	linear	linear	PROPN
ejpam-3711	366	8	operators	operator	NOUN
ejpam-3711	366	9	.	.	PUNCT
ejpam-3711	367	1	results	result	VERB
ejpam-3711	367	2	math	math	NOUN
ejpam-3711	367	3	.	.	PUNCT
ejpam-3711	367	4	,	,	PUNCT
ejpam-3711	368	1	69:359–367	69:359–367	NUM
ejpam-3711	368	2	,	,	PUNCT
ejpam-3711	368	3	2016	2016	NUM
ejpam-3711	368	4	.	.	PUNCT
ejpam-3711	369	1	[	[	X
ejpam-3711	369	2	17	17	NUM
ejpam-3711	369	3	]	]	X
ejpam-3711	369	4	h.	h.	PROPN
ejpam-3711	369	5	fast	fast	VERB
ejpam-3711	369	6	.	.	PUNCT
ejpam-3711	370	1	sur	sur	PROPN
ejpam-3711	370	2	la	la	PROPN
ejpam-3711	370	3	convergence	convergence	NOUN
ejpam-3711	370	4	statistique	statistique	NOUN
ejpam-3711	370	5	.	.	PUNCT
ejpam-3711	371	1	colloq	colloq	PROPN
ejpam-3711	371	2	.	.	PUNCT
ejpam-3711	372	1	math	math	PROPN
ejpam-3711	372	2	.	.	PUNCT
ejpam-3711	372	3	,	,	PUNCT
ejpam-3711	372	4	2:241–244	2:241–244	NUM
ejpam-3711	372	5	,	,	PUNCT
ejpam-3711	372	6	1951	1951	NUM
ejpam-3711	372	7	.	.	PUNCT
ejpam-3711	373	1	[	[	X
ejpam-3711	373	2	18	18	NUM
ejpam-3711	373	3	]	]	X
ejpam-3711	373	4	g.	g.	PROPN
ejpam-3711	373	5	gasper	gasper	PROPN
ejpam-3711	373	6	and	and	CCONJ
ejpam-3711	373	7	m.	m.	PROPN
ejpam-3711	373	8	rahman	rahman	PROPN
ejpam-3711	373	9	.	.	PUNCT
ejpam-3711	374	1	basic	basic	ADJ
ejpam-3711	374	2	hypergeometric	hypergeometric	ADJ
ejpam-3711	374	3	series	series	NOUN
ejpam-3711	374	4	.	.	PUNCT
ejpam-3711	375	1	camb	camb	PROPN
ejpam-3711	375	2	.	.	PUNCT
ejpam-3711	376	1	univ	univ	PROPN
ejpam-3711	376	2	.	.	PUNCT
ejpam-3711	377	1	press	press	PROPN
ejpam-3711	377	2	,	,	PUNCT
ejpam-3711	377	3	oxford	oxford	PROPN
ejpam-3711	377	4	,	,	PUNCT
ejpam-3711	377	5	2004	2004	NUM
ejpam-3711	377	6	.	.	PUNCT
ejpam-3711	378	1	[	[	X
ejpam-3711	378	2	19	19	NUM
ejpam-3711	378	3	]	]	X
ejpam-3711	378	4	r.	r.	PROPN
ejpam-3711	378	5	j.	j.	PROPN
ejpam-3711	378	6	goetschel	goetschel	PROPN
ejpam-3711	378	7	and	and	CCONJ
ejpam-3711	378	8	w.	w.	PROPN
ejpam-3711	378	9	voxman	voxman	PROPN
ejpam-3711	378	10	.	.	PUNCT
ejpam-3711	379	1	elementary	elementary	ADJ
ejpam-3711	379	2	fuzzy	fuzzy	ADJ
ejpam-3711	379	3	calculus	calculus	NOUN
ejpam-3711	379	4	.	.	PUNCT
ejpam-3711	380	1	fuzzy	fuzzy	ADJ
ejpam-3711	380	2	sets	set	NOUN
ejpam-3711	380	3	and	and	CCONJ
ejpam-3711	380	4	systems	system	NOUN
ejpam-3711	380	5	.	.	PUNCT
ejpam-3711	380	6	,	,	PUNCT
ejpam-3711	380	7	18:31–43	18:31–43	NUM
ejpam-3711	380	8	,	,	PUNCT
ejpam-3711	380	9	1986	1986	NUM
ejpam-3711	380	10	.	.	PUNCT
ejpam-3711	381	1	[	[	X
ejpam-3711	381	2	20	20	NUM
ejpam-3711	381	3	]	]	PUNCT
ejpam-3711	381	4	b.	b.	PROPN
ejpam-3711	381	5	b.	b.	PROPN
ejpam-3711	381	6	jena	jena	PROPN
ejpam-3711	381	7	and	and	CCONJ
ejpam-3711	381	8	s.	s.	PROPN
ejpam-3711	381	9	k.	k.	PROPN
ejpam-3711	381	10	paikray	paikray	PROPN
ejpam-3711	381	11	.	.	PUNCT
ejpam-3711	382	1	product	product	NOUN
ejpam-3711	382	2	of	of	ADP
ejpam-3711	382	3	statistical	statistical	ADJ
ejpam-3711	382	4	probability	probability	NOUN
ejpam-3711	382	5	convergence	convergence	NOUN
ejpam-3711	382	6	and	and	CCONJ
ejpam-3711	382	7	its	its	PRON
ejpam-3711	382	8	applications	application	NOUN
ejpam-3711	382	9	to	to	ADP
ejpam-3711	382	10	korovkin	korovkin	NOUN
ejpam-3711	382	11	-	-	PUNCT
ejpam-3711	382	12	type	type	NOUN
ejpam-3711	382	13	theorem	theorem	VERB
ejpam-3711	382	14	.	.	PUNCT
ejpam-3711	382	15	miskolc	miskolc	ADJ
ejpam-3711	382	16	math	math	PROPN
ejpam-3711	382	17	.	.	PUNCT
ejpam-3711	383	1	notes	notes	PROPN
ejpam-3711	383	2	.	.	PUNCT
ejpam-3711	383	3	,	,	PUNCT
ejpam-3711	383	4	20:969–984	20:969–984	PROPN
ejpam-3711	383	5	,	,	PUNCT
ejpam-3711	383	6	2019	2019	NUM
ejpam-3711	383	7	.	.	PUNCT
ejpam-3711	384	1	[	[	X
ejpam-3711	384	2	21	21	NUM
ejpam-3711	384	3	]	]	X
ejpam-3711	384	4	b.	b.	PROPN
ejpam-3711	384	5	b.	b.	PROPN
ejpam-3711	384	6	jena	jena	PROPN
ejpam-3711	384	7	,	,	PUNCT
ejpam-3711	384	8	s.	s.	PROPN
ejpam-3711	384	9	k.	k.	PROPN
ejpam-3711	384	10	paikray	paikray	PROPN
ejpam-3711	384	11	,	,	PUNCT
ejpam-3711	384	12	and	and	CCONJ
ejpam-3711	384	13	h.	h.	PROPN
ejpam-3711	384	14	dutta	dutta	PROPN
ejpam-3711	384	15	.	.	PUNCT
ejpam-3711	385	1	on	on	ADP
ejpam-3711	385	2	various	various	ADJ
ejpam-3711	385	3	new	new	ADJ
ejpam-3711	385	4	concepts	concept	NOUN
ejpam-3711	385	5	of	of	ADP
ejpam-3711	385	6	statistical	statistical	ADJ
ejpam-3711	385	7	convergence	convergence	NOUN
ejpam-3711	385	8	for	for	ADP
ejpam-3711	385	9	sequences	sequence	NOUN
ejpam-3711	385	10	of	of	ADP
ejpam-3711	385	11	random	random	ADJ
ejpam-3711	385	12	variables	variable	NOUN
ejpam-3711	385	13	via	via	ADP
ejpam-3711	385	14	deferred	deferred	ADJ
ejpam-3711	385	15	cesàro	cesàro	NOUN
ejpam-3711	385	16	mean	mean	NOUN
ejpam-3711	385	17	.	.	PUNCT
ejpam-3711	386	1	j.	j.	PROPN
ejpam-3711	386	2	math	math	PROPN
ejpam-3711	386	3	.	.	PUNCT
ejpam-3711	387	1	anal	anal	PROPN
ejpam-3711	387	2	.	.	PUNCT
ejpam-3711	388	1	appl	appl	PROPN
ejpam-3711	388	2	.	.	PROPN
ejpam-3711	388	3	,	,	PUNCT
ejpam-3711	388	4	487:123950	487:123950	NUM
ejpam-3711	388	5	,	,	PUNCT
ejpam-3711	388	6	2020	2020	NUM
ejpam-3711	388	7	.	.	PUNCT
ejpam-3711	389	1	[	[	X
ejpam-3711	389	2	22	22	NUM
ejpam-3711	389	3	]	]	X
ejpam-3711	389	4	b.	b.	PROPN
ejpam-3711	389	5	b.	b.	PROPN
ejpam-3711	389	6	jena	jena	PROPN
ejpam-3711	389	7	,	,	PUNCT
ejpam-3711	389	8	s.	s.	PROPN
ejpam-3711	389	9	k.	k.	PROPN
ejpam-3711	389	10	paikray	paikray	PROPN
ejpam-3711	389	11	,	,	PUNCT
ejpam-3711	389	12	and	and	CCONJ
ejpam-3711	389	13	u.	u.	PROPN
ejpam-3711	389	14	k.	k.	PROPN
ejpam-3711	389	15	misra	misra	PROPN
ejpam-3711	389	16	.	.	PUNCT
ejpam-3711	390	1	inclusion	inclusion	NOUN
ejpam-3711	390	2	theorems	theorem	NOUN
ejpam-3711	390	3	on	on	ADP
ejpam-3711	390	4	general	general	ADJ
ejpam-3711	390	5	convergence	convergence	NOUN
ejpam-3711	390	6	and	and	CCONJ
ejpam-3711	390	7	statistical	statistical	ADJ
ejpam-3711	390	8	convergence	convergence	NOUN
ejpam-3711	390	9	of	of	ADP
ejpam-3711	390	10	(	(	PUNCT
ejpam-3711	390	11	l	l	NOUN
ejpam-3711	390	12	,	,	PUNCT
ejpam-3711	390	13	1	1	NUM
ejpam-3711	390	14	,	,	PUNCT
ejpam-3711	390	15	1	1	X
ejpam-3711	390	16	)	)	PUNCT
ejpam-3711	390	17	summability	summability	NOUN
ejpam-3711	390	18	using	use	VERB
ejpam-3711	390	19	generalized	generalized	ADJ
ejpam-3711	390	20	tauberian	tauberian	ADJ
ejpam-3711	390	21	conditions	condition	NOUN
ejpam-3711	390	22	.	.	PUNCT
ejpam-3711	391	1	tamsui	tamsui	PROPN
ejpam-3711	391	2	oxf	oxf	PROPN
ejpam-3711	391	3	.	.	PUNCT
ejpam-3711	392	1	j.	j.	PROPN
ejpam-3711	392	2	inf	inf	PROPN
ejpam-3711	392	3	.	.	PROPN
ejpam-3711	392	4	math	math	PROPN
ejpam-3711	392	5	.	.	PUNCT
ejpam-3711	393	1	sci	sci	PROPN
ejpam-3711	393	2	.	.	PROPN
ejpam-3711	393	3	,	,	PUNCT
ejpam-3711	393	4	31:101–115	31:101–115	PROPN
ejpam-3711	393	5	,	,	PUNCT
ejpam-3711	393	6	2017	2017	NUM
ejpam-3711	393	7	.	.	PUNCT
ejpam-3711	394	1	references	reference	NOUN
ejpam-3711	394	2	1229	1229	NUM
ejpam-3711	394	3	[	[	X
ejpam-3711	394	4	23	23	NUM
ejpam-3711	394	5	]	]	X
ejpam-3711	394	6	b.	b.	PROPN
ejpam-3711	394	7	b.	b.	PROPN
ejpam-3711	394	8	jena	jena	PROPN
ejpam-3711	394	9	,	,	PUNCT
ejpam-3711	394	10	s.	s.	PROPN
ejpam-3711	394	11	k.	k.	PROPN
ejpam-3711	394	12	paikray	paikray	PROPN
ejpam-3711	394	13	,	,	PUNCT
ejpam-3711	394	14	and	and	CCONJ
ejpam-3711	394	15	u.	u.	PROPN
ejpam-3711	394	16	k.	k.	PROPN
ejpam-3711	394	17	misra	misra	PROPN
ejpam-3711	394	18	.	.	PUNCT
ejpam-3711	395	1	statistical	statistical	ADJ
ejpam-3711	395	2	deferred	defer	VERB
ejpam-3711	395	3	cesàro	cesàro	NOUN
ejpam-3711	395	4	summability	summability	NOUN
ejpam-3711	395	5	and	and	CCONJ
ejpam-3711	395	6	its	its	PRON
ejpam-3711	395	7	applications	application	NOUN
ejpam-3711	395	8	to	to	ADP
ejpam-3711	395	9	approximation	approximation	NOUN
ejpam-3711	395	10	theorems	theorem	NOUN
ejpam-3711	395	11	.	.	PUNCT
ejpam-3711	396	1	filomat	filomat	PROPN
ejpam-3711	396	2	,	,	PUNCT
ejpam-3711	396	3	32:2307–2319	32:2307–2319	PROPN
ejpam-3711	396	4	,	,	PUNCT
ejpam-3711	396	5	2018	2018	NUM
ejpam-3711	396	6	.	.	PUNCT
ejpam-3711	397	1	[	[	X
ejpam-3711	397	2	24	24	NUM
ejpam-3711	397	3	]	]	PUNCT
ejpam-3711	397	4	b.	b.	PROPN
ejpam-3711	397	5	b.	b.	PROPN
ejpam-3711	397	6	jena	jena	PROPN
ejpam-3711	397	7	,	,	PUNCT
ejpam-3711	397	8	s.	s.	PROPN
ejpam-3711	397	9	k.	k.	PROPN
ejpam-3711	397	10	paikray	paikray	PROPN
ejpam-3711	397	11	,	,	PUNCT
ejpam-3711	397	12	and	and	CCONJ
ejpam-3711	397	13	u.	u.	PROPN
ejpam-3711	397	14	k.	k.	PROPN
ejpam-3711	397	15	misra	misra	PROPN
ejpam-3711	397	16	.	.	PUNCT
ejpam-3711	398	1	approximation	approximation	NOUN
ejpam-3711	398	2	of	of	ADP
ejpam-3711	398	3	periodic	periodic	ADJ
ejpam-3711	398	4	functions	function	NOUN
ejpam-3711	398	5	via	via	ADP
ejpam-3711	398	6	statistical	statistical	ADJ
ejpam-3711	398	7	b	b	NOUN
ejpam-3711	398	8	-	-	PUNCT
ejpam-3711	398	9	summability	summability	NOUN
ejpam-3711	398	10	and	and	CCONJ
ejpam-3711	398	11	its	its	PRON
ejpam-3711	398	12	applications	application	NOUN
ejpam-3711	398	13	to	to	ADP
ejpam-3711	398	14	approximation	approximation	NOUN
ejpam-3711	398	15	theorems	theorem	NOUN
ejpam-3711	398	16	.	.	PUNCT
ejpam-3711	399	1	indian	indian	PROPN
ejpam-3711	399	2	j.	j.	PROPN
ejpam-3711	399	3	industr	industr	PROPN
ejpam-3711	399	4	.	.	PROPN
ejpam-3711	400	1	appl	appl	PROPN
ejpam-3711	400	2	.	.	PROPN
ejpam-3711	400	3	math	math	PROPN
ejpam-3711	400	4	.	.	PUNCT
ejpam-3711	400	5	,	,	PUNCT
ejpam-3711	401	1	10:71–86	10:71–86	NUM
ejpam-3711	401	2	,	,	PUNCT
ejpam-3711	401	3	2019	2019	NUM
ejpam-3711	401	4	.	.	PUNCT
ejpam-3711	402	1	[	[	X
ejpam-3711	402	2	25	25	NUM
ejpam-3711	402	3	]	]	PUNCT
ejpam-3711	402	4	b.	b.	PROPN
ejpam-3711	402	5	b.	b.	PROPN
ejpam-3711	402	6	jena	jena	PROPN
ejpam-3711	402	7	,	,	PUNCT
ejpam-3711	402	8	s.	s.	PROPN
ejpam-3711	402	9	k.	k.	PROPN
ejpam-3711	402	10	paikray	paikray	PROPN
ejpam-3711	402	11	,	,	PUNCT
ejpam-3711	402	12	s.	s.	PROPN
ejpam-3711	402	13	a.	a.	PROPN
ejpam-3711	402	14	mohiuddine	mohiuddine	PROPN
ejpam-3711	402	15	,	,	PUNCT
ejpam-3711	402	16	and	and	CCONJ
ejpam-3711	402	17	v.	v.	ADP
ejpam-3711	402	18	n.	n.	PROPN
ejpam-3711	402	19	mishra	mishra	PROPN
ejpam-3711	402	20	.	.	PROPN
ejpam-3711	403	1	relatively	relatively	ADV
ejpam-3711	403	2	equistatistical	equistatistical	ADJ
ejpam-3711	403	3	convergence	convergence	NOUN
ejpam-3711	403	4	via	via	ADP
ejpam-3711	403	5	deferred	defer	VERB
ejpam-3711	403	6	nörlund	nörlund	NOUN
ejpam-3711	403	7	mean	mean	NOUN
ejpam-3711	403	8	based	base	VERB
ejpam-3711	403	9	on	on	ADP
ejpam-3711	403	10	difference	difference	NOUN
ejpam-3711	403	11	operator	operator	NOUN
ejpam-3711	403	12	of	of	ADP
ejpam-3711	403	13	fractional	fractional	ADJ
ejpam-3711	403	14	-	-	PUNCT
ejpam-3711	403	15	order	order	NOUN
ejpam-3711	403	16	and	and	CCONJ
ejpam-3711	403	17	related	related	ADJ
ejpam-3711	403	18	approximation	approximation	NOUN
ejpam-3711	403	19	theorems	theorem	NOUN
ejpam-3711	403	20	.	.	PUNCT
ejpam-3711	404	1	aims	aim	VERB
ejpam-3711	404	2	math	math	NOUN
ejpam-3711	404	3	.	.	PUNCT
ejpam-3711	404	4	,	,	PUNCT
ejpam-3711	404	5	5:650–672	5:650–672	NUM
ejpam-3711	404	6	,	,	PUNCT
ejpam-3711	404	7	2020	2020	NUM
ejpam-3711	404	8	.	.	PUNCT
ejpam-3711	405	1	[	[	X
ejpam-3711	405	2	26	26	NUM
ejpam-3711	405	3	]	]	PUNCT
ejpam-3711	405	4	a.	a.	NOUN
ejpam-3711	405	5	karaisa	karaisa	NOUN
ejpam-3711	405	6	and	and	CCONJ
ejpam-3711	405	7	u.	u.	PROPN
ejpam-3711	405	8	kadak	kadak	PROPN
ejpam-3711	405	9	.	.	PUNCT
ejpam-3711	406	1	on	on	ADP
ejpam-3711	406	2	αβ	αβ	ADJ
ejpam-3711	406	3	-	-	ADJ
ejpam-3711	406	4	statistical	statistical	ADJ
ejpam-3711	406	5	convergence	convergence	NOUN
ejpam-3711	406	6	for	for	ADP
ejpam-3711	406	7	sequences	sequence	NOUN
ejpam-3711	406	8	of	of	ADP
ejpam-3711	406	9	fuzzy	fuzzy	ADJ
ejpam-3711	406	10	mappings	mapping	NOUN
ejpam-3711	406	11	and	and	CCONJ
ejpam-3711	406	12	korovkin	korovkin	NOUN
ejpam-3711	406	13	type	type	NOUN
ejpam-3711	406	14	approximation	approximation	NOUN
ejpam-3711	406	15	theorem	theorem	NOUN
ejpam-3711	406	16	.	.	PUNCT
ejpam-3711	407	1	filomat	filomat	PROPN
ejpam-3711	407	2	.	.	PROPN
ejpam-3711	407	3	,	,	PUNCT
ejpam-3711	408	1	31:3749–3760	31:3749–3760	NUM
ejpam-3711	408	2	,	,	PUNCT
ejpam-3711	408	3	2017	2017	NUM
ejpam-3711	408	4	.	.	PUNCT
ejpam-3711	409	1	[	[	X
ejpam-3711	409	2	27	27	NUM
ejpam-3711	409	3	]	]	X
ejpam-3711	409	4	h.	h.	PROPN
ejpam-3711	409	5	kızmaz	kızmaz	PROPN
ejpam-3711	409	6	.	.	PUNCT
ejpam-3711	410	1	on	on	ADP
ejpam-3711	410	2	certain	certain	ADJ
ejpam-3711	410	3	sequence	sequence	NOUN
ejpam-3711	410	4	spaces	space	NOUN
ejpam-3711	410	5	.	.	PUNCT
ejpam-3711	411	1	canad	canad	PROPN
ejpam-3711	411	2	.	.	PUNCT
ejpam-3711	412	1	math	math	NOUN
ejpam-3711	412	2	.	.	PUNCT
ejpam-3711	413	1	bull	bull	PROPN
ejpam-3711	413	2	.	.	PUNCT
ejpam-3711	413	3	,	,	PUNCT
ejpam-3711	413	4	24:169–176	24:169–176	PROPN
ejpam-3711	413	5	,	,	PUNCT
ejpam-3711	413	6	1981	1981	NUM
ejpam-3711	413	7	.	.	PUNCT
ejpam-3711	414	1	[	[	X
ejpam-3711	414	2	28	28	NUM
ejpam-3711	414	3	]	]	X
ejpam-3711	414	4	s.	s.	PROPN
ejpam-3711	414	5	a.	a.	PROPN
ejpam-3711	414	6	mohiuddine	mohiuddine	PROPN
ejpam-3711	414	7	and	and	CCONJ
ejpam-3711	414	8	b.	b.	PROPN
ejpam-3711	414	9	a.	a.	PROPN
ejpam-3711	414	10	s.	s.	PROPN
ejpam-3711	414	11	alamri	alamri	PROPN
ejpam-3711	414	12	.	.	PUNCT
ejpam-3711	415	1	generalization	generalization	NOUN
ejpam-3711	415	2	of	of	ADP
ejpam-3711	415	3	equi	equi	NOUN
ejpam-3711	415	4	-	-	PUNCT
ejpam-3711	415	5	statistical	statistical	ADJ
ejpam-3711	415	6	convergence	convergence	NOUN
ejpam-3711	415	7	via	via	ADP
ejpam-3711	415	8	weighted	weight	VERB
ejpam-3711	415	9	lacunary	lacunary	ADJ
ejpam-3711	415	10	sequence	sequence	NOUN
ejpam-3711	415	11	with	with	ADP
ejpam-3711	415	12	associated	associated	ADJ
ejpam-3711	415	13	korovkin	korovkin	NOUN
ejpam-3711	415	14	and	and	CCONJ
ejpam-3711	415	15	voronovskaya	voronovskaya	NOUN
ejpam-3711	415	16	type	type	NOUN
ejpam-3711	415	17	approximation	approximation	NOUN
ejpam-3711	415	18	theorems	theorem	NOUN
ejpam-3711	415	19	.	.	PUNCT
ejpam-3711	416	1	rev	rev	PROPN
ejpam-3711	416	2	.	.	PROPN
ejpam-3711	416	3	r.	r.	PROPN
ejpam-3711	416	4	acad	acad	PROPN
ejpam-3711	416	5	.	.	PUNCT
ejpam-3711	417	1	cienc	cienc	PROPN
ejpam-3711	417	2	.	.	PUNCT
ejpam-3711	418	1	exactas	exactas	PROPN
ejpam-3711	418	2	fs	fs	PROPN
ejpam-3711	418	3	.	.	PUNCT
ejpam-3711	419	1	nat	nat	PROPN
ejpam-3711	419	2	.	.	PUNCT
ejpam-3711	420	1	ser	ser	PROPN
ejpam-3711	420	2	.	.	PUNCT
ejpam-3711	421	1	a	a	DET
ejpam-3711	421	2	math	math	NOUN
ejpam-3711	421	3	.	.	PUNCT
ejpam-3711	422	1	(	(	PUNCT
ejpam-3711	422	2	racsam	racsam	PROPN
ejpam-3711	422	3	)	)	PUNCT
ejpam-3711	422	4	,	,	PUNCT
ejpam-3711	422	5	113:1955–1973	113:1955–1973	NUM
ejpam-3711	422	6	,	,	PUNCT
ejpam-3711	422	7	2019	2019	NUM
ejpam-3711	422	8	.	.	PUNCT
ejpam-3711	423	1	[	[	X
ejpam-3711	423	2	29	29	NUM
ejpam-3711	423	3	]	]	PUNCT
ejpam-3711	423	4	s.	s.	PROPN
ejpam-3711	423	5	a.	a.	PROPN
ejpam-3711	423	6	mohiuddine	mohiuddine	PROPN
ejpam-3711	423	7	,	,	PUNCT
ejpam-3711	423	8	a.	a.	NOUN
ejpam-3711	423	9	asiri	asiri	PROPN
ejpam-3711	423	10	,	,	PUNCT
ejpam-3711	423	11	and	and	CCONJ
ejpam-3711	423	12	b.	b.	PROPN
ejpam-3711	423	13	hazarika	hazarika	NOUN
ejpam-3711	423	14	.	.	PUNCT
ejpam-3711	424	1	weighted	weight	VERB
ejpam-3711	424	2	statistical	statistical	ADJ
ejpam-3711	424	3	convergence	convergence	NOUN
ejpam-3711	424	4	through	through	ADP
ejpam-3711	424	5	difference	difference	NOUN
ejpam-3711	424	6	operator	operator	NOUN
ejpam-3711	424	7	of	of	ADP
ejpam-3711	424	8	sequences	sequence	NOUN
ejpam-3711	424	9	of	of	ADP
ejpam-3711	424	10	fuzzy	fuzzy	ADJ
ejpam-3711	424	11	numbers	number	NOUN
ejpam-3711	424	12	with	with	ADP
ejpam-3711	424	13	application	application	NOUN
ejpam-3711	424	14	to	to	ADP
ejpam-3711	424	15	fuzzy	fuzzy	ADJ
ejpam-3711	424	16	approximation	approximation	NOUN
ejpam-3711	424	17	theorems	theorem	NOUN
ejpam-3711	424	18	.	.	PUNCT
ejpam-3711	425	1	int	int	NOUN
ejpam-3711	425	2	.	.	PUNCT
ejpam-3711	426	1	j.	j.	PROPN
ejpam-3711	426	2	gen	gen	PROPN
ejpam-3711	426	3	.	.	PROPN
ejpam-3711	426	4	syst	syst	PROPN
ejpam-3711	426	5	.	.	PROPN
ejpam-3711	426	6	,	,	PUNCT
ejpam-3711	426	7	48:492–506	48:492–506	PROPN
ejpam-3711	426	8	,	,	PUNCT
ejpam-3711	426	9	2019	2019	NUM
ejpam-3711	426	10	.	.	PUNCT
ejpam-3711	427	1	[	[	X
ejpam-3711	427	2	30	30	NUM
ejpam-3711	427	3	]	]	PUNCT
ejpam-3711	427	4	s.	s.	PROPN
ejpam-3711	427	5	a.	a.	PROPN
ejpam-3711	427	6	mohiuddine	mohiuddine	PROPN
ejpam-3711	427	7	,	,	PUNCT
ejpam-3711	427	8	b.	b.	PROPN
ejpam-3711	427	9	hazarika	hazarika	NOUN
ejpam-3711	427	10	,	,	PUNCT
ejpam-3711	427	11	and	and	CCONJ
ejpam-3711	427	12	m.	m.	NOUN
ejpam-3711	427	13	a.	a.	NOUN
ejpam-3711	427	14	alghamdi	alghamdi	PROPN
ejpam-3711	427	15	.	.	PUNCT
ejpam-3711	428	1	ideal	ideal	ADJ
ejpam-3711	428	2	relatively	relatively	ADV
ejpam-3711	428	3	uniform	uniform	ADJ
ejpam-3711	428	4	convergence	convergence	NOUN
ejpam-3711	428	5	with	with	ADP
ejpam-3711	428	6	korovkin	korovkin	NOUN
ejpam-3711	428	7	and	and	CCONJ
ejpam-3711	428	8	voronovskaya	voronovskaya	NOUN
ejpam-3711	428	9	types	type	NOUN
ejpam-3711	428	10	approximation	approximation	NOUN
ejpam-3711	428	11	theorems	theorem	NOUN
ejpam-3711	428	12	.	.	PUNCT
ejpam-3711	429	1	filomat	filomat	PROPN
ejpam-3711	429	2	,	,	PUNCT
ejpam-3711	429	3	33:4549–4560	33:4549–4560	PROPN
ejpam-3711	429	4	,	,	PUNCT
ejpam-3711	429	5	2019	2019	NUM
ejpam-3711	429	6	.	.	PUNCT
ejpam-3711	430	1	[	[	X
ejpam-3711	430	2	31	31	NUM
ejpam-3711	430	3	]	]	PUNCT
ejpam-3711	430	4	e.	e.	PROPN
ejpam-3711	430	5	h.	h.	PROPN
ejpam-3711	430	6	moore	moore	PROPN
ejpam-3711	430	7	.	.	PUNCT
ejpam-3711	431	1	an	an	DET
ejpam-3711	431	2	introduction	introduction	NOUN
ejpam-3711	431	3	to	to	ADP
ejpam-3711	431	4	a	a	DET
ejpam-3711	431	5	form	form	NOUN
ejpam-3711	431	6	of	of	ADP
ejpam-3711	431	7	general	general	ADJ
ejpam-3711	431	8	analysis	analysis	NOUN
ejpam-3711	431	9	.	.	PUNCT
ejpam-3711	432	1	the	the	DET
ejpam-3711	432	2	new	new	PROPN
ejpam-3711	432	3	haven	haven	PROPN
ejpam-3711	432	4	mathematical	mathematical	PROPN
ejpam-3711	432	5	colloquium	colloquium	NOUN
ejpam-3711	432	6	,	,	PUNCT
ejpam-3711	432	7	yale	yale	PROPN
ejpam-3711	432	8	university	university	PROPN
ejpam-3711	432	9	press	press	NOUN
ejpam-3711	432	10	,	,	PUNCT
ejpam-3711	432	11	new	new	ADJ
ejpam-3711	432	12	haven	haven	NOUN
ejpam-3711	432	13	,	,	PUNCT
ejpam-3711	432	14	1910	1910	NUM
ejpam-3711	432	15	.	.	PUNCT
ejpam-3711	433	1	[	[	X
ejpam-3711	433	2	32	32	NUM
ejpam-3711	433	3	]	]	PUNCT
ejpam-3711	433	4	f.	f.	PROPN
ejpam-3711	433	5	nuray	nuray	PROPN
ejpam-3711	433	6	and	and	CCONJ
ejpam-3711	433	7	e.	e.	PROPN
ejpam-3711	433	8	savaş.	savaş.	PROPN
ejpam-3711	433	9	statistical	statistical	ADJ
ejpam-3711	433	10	convergence	convergence	NOUN
ejpam-3711	433	11	of	of	ADP
ejpam-3711	433	12	sequences	sequence	NOUN
ejpam-3711	433	13	of	of	ADP
ejpam-3711	433	14	fuzzy	fuzzy	ADJ
ejpam-3711	433	15	numbers	number	NOUN
ejpam-3711	433	16	.	.	PUNCT
ejpam-3711	433	17	math	math	NOUN
ejpam-3711	433	18	.	.	PUNCT
ejpam-3711	434	1	slovaca	slovaca	PROPN
ejpam-3711	434	2	,	,	PUNCT
ejpam-3711	434	3	45:269–273	45:269–273	NUM
ejpam-3711	434	4	,	,	PUNCT
ejpam-3711	434	5	1995	1995	NUM
ejpam-3711	434	6	.	.	PUNCT
ejpam-3711	435	1	[	[	X
ejpam-3711	435	2	33	33	NUM
ejpam-3711	435	3	]	]	PUNCT
ejpam-3711	435	4	s.	s.	PROPN
ejpam-3711	435	5	k.	k.	PROPN
ejpam-3711	435	6	paikray	paikray	PROPN
ejpam-3711	435	7	,	,	PUNCT
ejpam-3711	435	8	b.	b.	PROPN
ejpam-3711	435	9	b.	b.	PROPN
ejpam-3711	435	10	jena	jena	PROPN
ejpam-3711	435	11	,	,	PUNCT
ejpam-3711	435	12	and	and	CCONJ
ejpam-3711	435	13	u.	u.	PROPN
ejpam-3711	435	14	k.	k.	PROPN
ejpam-3711	435	15	misra	misra	PROPN
ejpam-3711	435	16	.	.	PUNCT
ejpam-3711	436	1	statistical	statistical	ADJ
ejpam-3711	436	2	deferred	defer	VERB
ejpam-3711	436	3	cesàro	cesàro	NOUN
ejpam-3711	436	4	summability	summability	NOUN
ejpam-3711	436	5	mean	mean	NOUN
ejpam-3711	436	6	based	base	VERB
ejpam-3711	436	7	on	on	ADP
ejpam-3711	436	8	(	(	PUNCT
ejpam-3711	436	9	p	p	X
ejpam-3711	436	10	,	,	PUNCT
ejpam-3711	436	11	q)-integers	q)-integer	NOUN
ejpam-3711	436	12	with	with	ADP
ejpam-3711	436	13	application	application	NOUN
ejpam-3711	436	14	to	to	ADP
ejpam-3711	436	15	approximation	approximation	NOUN
ejpam-3711	436	16	theorems	theorem	NOUN
ejpam-3711	436	17	.	.	PUNCT
ejpam-3711	437	1	in	in	ADP
ejpam-3711	437	2	s.	s.	PROPN
ejpam-3711	437	3	a.	a.	PROPN
ejpam-3711	437	4	mohiuddine	mohiuddine	PROPN
ejpam-3711	437	5	and	and	CCONJ
ejpam-3711	437	6	t.	t.	NOUN
ejpam-3711	437	7	acar	acar	NOUN
ejpam-3711	437	8	,	,	PUNCT
ejpam-3711	437	9	editors	editor	NOUN
ejpam-3711	437	10	,	,	PUNCT
ejpam-3711	437	11	advances	advance	NOUN
ejpam-3711	437	12	in	in	ADP
ejpam-3711	437	13	summability	summability	NOUN
ejpam-3711	437	14	and	and	CCONJ
ejpam-3711	437	15	approximation	approximation	NOUN
ejpam-3711	437	16	theory	theory	NOUN
ejpam-3711	437	17	.	.	PUNCT
ejpam-3711	437	18	,	,	PUNCT
ejpam-3711	437	19	pages	page	NOUN
ejpam-3711	437	20	203–222	203–222	NUM
ejpam-3711	437	21	,	,	PUNCT
ejpam-3711	437	22	singapore	singapore	PROPN
ejpam-3711	437	23	,	,	PUNCT
ejpam-3711	437	24	2019	2019	NUM
ejpam-3711	437	25	.	.	PUNCT
ejpam-3711	438	1	springer	springer	NOUN
ejpam-3711	438	2	nature	nature	PROPN
ejpam-3711	438	3	singapore	singapore	PROPN
ejpam-3711	438	4	private	private	PROPN
ejpam-3711	438	5	limited	limited	ADJ
ejpam-3711	438	6	.	.	PUNCT
ejpam-3711	439	1	[	[	X
ejpam-3711	439	2	34	34	NUM
ejpam-3711	439	3	]	]	PUNCT
ejpam-3711	439	4	t.	t.	NOUN
ejpam-3711	439	5	pradhan	pradhan	PROPN
ejpam-3711	439	6	,	,	PUNCT
ejpam-3711	439	7	s.	s.	PROPN
ejpam-3711	439	8	k.	k.	PROPN
ejpam-3711	439	9	paikray	paikray	PROPN
ejpam-3711	439	10	,	,	PUNCT
ejpam-3711	439	11	b.	b.	PROPN
ejpam-3711	439	12	b.	b.	PROPN
ejpam-3711	439	13	jena	jena	PROPN
ejpam-3711	439	14	,	,	PUNCT
ejpam-3711	439	15	and	and	CCONJ
ejpam-3711	439	16	h.	h.	PROPN
ejpam-3711	439	17	dutta	dutta	PROPN
ejpam-3711	439	18	.	.	PUNCT
ejpam-3711	440	1	statistical	statistical	ADJ
ejpam-3711	440	2	deferred	defer	VERB
ejpam-3711	440	3	weighted	weight	VERB
ejpam-3711	440	4	b	b	NOUN
ejpam-3711	440	5	-	-	PUNCT
ejpam-3711	440	6	summability	summability	NOUN
ejpam-3711	440	7	and	and	CCONJ
ejpam-3711	440	8	its	its	PRON
ejpam-3711	440	9	applications	application	NOUN
ejpam-3711	440	10	to	to	ADP
ejpam-3711	440	11	associated	associated	ADJ
ejpam-3711	440	12	approximation	approximation	NOUN
ejpam-3711	440	13	theorems	theorem	NOUN
ejpam-3711	440	14	.	.	PUNCT
ejpam-3711	441	1	j.	j.	PROPN
ejpam-3711	441	2	inequal	inequal	PROPN
ejpam-3711	441	3	.	.	PUNCT
ejpam-3711	442	1	appl	appl	PROPN
ejpam-3711	442	2	.	.	PROPN
ejpam-3711	442	3	,	,	PUNCT
ejpam-3711	442	4	2018;65:1–21	2018;65:1–21	NUM
ejpam-3711	442	5	,	,	PUNCT
ejpam-3711	442	6	2018	2018	NUM
ejpam-3711	442	7	.	.	PUNCT
ejpam-3711	443	1	[	[	X
ejpam-3711	443	2	35	35	NUM
ejpam-3711	443	3	]	]	X
ejpam-3711	443	4	h.	h.	PROPN
ejpam-3711	443	5	m.	m.	PROPN
ejpam-3711	443	6	srivastava	srivastava	PROPN
ejpam-3711	443	7	,	,	PUNCT
ejpam-3711	443	8	b.	b.	PROPN
ejpam-3711	443	9	b.	b.	PROPN
ejpam-3711	443	10	jena	jena	PROPN
ejpam-3711	443	11	,	,	PUNCT
ejpam-3711	443	12	and	and	CCONJ
ejpam-3711	443	13	s.	s.	PROPN
ejpam-3711	443	14	k.	k.	PROPN
ejpam-3711	443	15	paikray	paikray	PROPN
ejpam-3711	443	16	.	.	PUNCT
ejpam-3711	444	1	deferred	defer	VERB
ejpam-3711	444	2	cesàro	cesàro	ADJ
ejpam-3711	444	3	statistical	statistical	ADJ
ejpam-3711	444	4	probability	probability	NOUN
ejpam-3711	444	5	convergence	convergence	NOUN
ejpam-3711	444	6	and	and	CCONJ
ejpam-3711	444	7	its	its	PRON
ejpam-3711	444	8	applications	application	NOUN
ejpam-3711	444	9	to	to	ADP
ejpam-3711	444	10	approximation	approximation	NOUN
ejpam-3711	444	11	theorems	theorem	NOUN
ejpam-3711	444	12	.	.	PUNCT
ejpam-3711	445	1	j.	j.	PROPN
ejpam-3711	445	2	nonlinear	nonlinear	PROPN
ejpam-3711	445	3	convex	convex	PROPN
ejpam-3711	445	4	anal	anal	NOUN
ejpam-3711	445	5	.	.	PUNCT
ejpam-3711	445	6	,	,	PUNCT
ejpam-3711	445	7	20:1777–1792	20:1777–1792	NUM
ejpam-3711	445	8	,	,	PUNCT
ejpam-3711	445	9	2019	2019	NUM
ejpam-3711	445	10	.	.	PUNCT
ejpam-3711	446	1	references	reference	NOUN
ejpam-3711	446	2	1230	1230	NUM
ejpam-3711	446	3	[	[	X
ejpam-3711	446	4	36	36	NUM
ejpam-3711	446	5	]	]	X
ejpam-3711	446	6	h.	h.	PROPN
ejpam-3711	446	7	m.	m.	PROPN
ejpam-3711	446	8	srivastava	srivastava	PROPN
ejpam-3711	446	9	,	,	PUNCT
ejpam-3711	446	10	b.	b.	PROPN
ejpam-3711	446	11	b.	b.	PROPN
ejpam-3711	446	12	jena	jena	PROPN
ejpam-3711	446	13	,	,	PUNCT
ejpam-3711	446	14	and	and	CCONJ
ejpam-3711	446	15	s.	s.	PROPN
ejpam-3711	446	16	k.	k.	PROPN
ejpam-3711	446	17	paikray	paikray	PROPN
ejpam-3711	446	18	.	.	PUNCT
ejpam-3711	447	1	a	a	DET
ejpam-3711	447	2	certain	certain	ADJ
ejpam-3711	447	3	class	class	NOUN
ejpam-3711	447	4	of	of	ADP
ejpam-3711	447	5	statistical	statistical	ADJ
ejpam-3711	447	6	probability	probability	NOUN
ejpam-3711	447	7	convergence	convergence	NOUN
ejpam-3711	447	8	and	and	CCONJ
ejpam-3711	447	9	its	its	PRON
ejpam-3711	447	10	applications	application	NOUN
ejpam-3711	447	11	to	to	ADP
ejpam-3711	447	12	approximation	approximation	NOUN
ejpam-3711	447	13	theorems	theorem	NOUN
ejpam-3711	447	14	.	.	PUNCT
ejpam-3711	448	1	appl	appl	PROPN
ejpam-3711	448	2	.	.	PUNCT
ejpam-3711	449	1	anal	anal	PROPN
ejpam-3711	449	2	.	.	PUNCT
ejpam-3711	450	1	discrete	discrete	ADJ
ejpam-3711	450	2	math	math	NOUN
ejpam-3711	450	3	.	.	PUNCT
ejpam-3711	451	1	,	,	PUNCT
ejpam-3711	451	2	in	in	ADP
ejpam-3711	451	3	press:1–18	press:1–18	PROPN
ejpam-3711	451	4	,	,	PUNCT
ejpam-3711	451	5	2020	2020	NUM
ejpam-3711	451	6	.	.	PUNCT
ejpam-3711	452	1	[	[	X
ejpam-3711	452	2	37	37	NUM
ejpam-3711	452	3	]	]	X
ejpam-3711	452	4	h.	h.	PROPN
ejpam-3711	452	5	m.	m.	PROPN
ejpam-3711	452	6	srivastava	srivastava	PROPN
ejpam-3711	452	7	,	,	PUNCT
ejpam-3711	452	8	b.	b.	PROPN
ejpam-3711	452	9	b.	b.	PROPN
ejpam-3711	452	10	jena	jena	PROPN
ejpam-3711	452	11	,	,	PUNCT
ejpam-3711	452	12	s.	s.	PROPN
ejpam-3711	452	13	k.	k.	PROPN
ejpam-3711	452	14	paikray	paikray	PROPN
ejpam-3711	452	15	,	,	PUNCT
ejpam-3711	452	16	and	and	CCONJ
ejpam-3711	452	17	u.	u.	PROPN
ejpam-3711	452	18	k.	k.	PROPN
ejpam-3711	452	19	misra	misra	PROPN
ejpam-3711	452	20	.	.	PUNCT
ejpam-3711	453	1	a	a	DET
ejpam-3711	453	2	certain	certain	ADJ
ejpam-3711	453	3	class	class	NOUN
ejpam-3711	453	4	of	of	ADP
ejpam-3711	453	5	weighted	weight	VERB
ejpam-3711	453	6	statistical	statistical	ADJ
ejpam-3711	453	7	convergence	convergence	NOUN
ejpam-3711	453	8	and	and	CCONJ
ejpam-3711	453	9	associated	associated	ADJ
ejpam-3711	453	10	korovkin	korovkin	NOUN
ejpam-3711	453	11	type	type	NOUN
ejpam-3711	453	12	approximation	approximation	NOUN
ejpam-3711	453	13	theorems	theorem	NOUN
ejpam-3711	453	14	for	for	ADP
ejpam-3711	453	15	trigonometric	trigonometric	ADJ
ejpam-3711	453	16	functions	function	NOUN
ejpam-3711	453	17	.	.	PUNCT
ejpam-3711	454	1	math	math	NOUN
ejpam-3711	454	2	.	.	PUNCT
ejpam-3711	455	1	methods	method	NOUN
ejpam-3711	455	2	appl	appl	PROPN
ejpam-3711	455	3	.	.	PUNCT
ejpam-3711	456	1	sci	sci	PROPN
ejpam-3711	456	2	.	.	PROPN
ejpam-3711	456	3	,	,	PUNCT
ejpam-3711	456	4	41:671–683	41:671–683	PROPN
ejpam-3711	456	5	,	,	PUNCT
ejpam-3711	456	6	2018	2018	NUM
ejpam-3711	456	7	.	.	PUNCT
ejpam-3711	457	1	[	[	X
ejpam-3711	457	2	38	38	NUM
ejpam-3711	457	3	]	]	PUNCT
ejpam-3711	457	4	h.	h.	PROPN
ejpam-3711	457	5	m.	m.	PROPN
ejpam-3711	457	6	srivastava	srivastava	PROPN
ejpam-3711	457	7	,	,	PUNCT
ejpam-3711	457	8	b.	b.	PROPN
ejpam-3711	457	9	b.	b.	PROPN
ejpam-3711	457	10	jena	jena	PROPN
ejpam-3711	457	11	,	,	PUNCT
ejpam-3711	457	12	s.	s.	PROPN
ejpam-3711	457	13	k.	k.	PROPN
ejpam-3711	457	14	paikray	paikray	PROPN
ejpam-3711	457	15	,	,	PUNCT
ejpam-3711	457	16	and	and	CCONJ
ejpam-3711	457	17	u.	u.	PROPN
ejpam-3711	457	18	k.	k.	PROPN
ejpam-3711	457	19	misra	misra	PROPN
ejpam-3711	457	20	.	.	PUNCT
ejpam-3711	458	1	deferred	defer	VERB
ejpam-3711	458	2	weighted	weight	VERB
ejpam-3711	458	3	a	a	DET
ejpam-3711	458	4	-	-	PUNCT
ejpam-3711	458	5	statistical	statistical	ADJ
ejpam-3711	458	6	convergence	convergence	NOUN
ejpam-3711	458	7	based	base	VERB
ejpam-3711	458	8	upon	upon	SCONJ
ejpam-3711	458	9	the	the	DET
ejpam-3711	458	10	(	(	PUNCT
ejpam-3711	458	11	p	p	NOUN
ejpam-3711	458	12	,	,	PUNCT
ejpam-3711	458	13	q)-lagrange	q)-lagrange	NOUN
ejpam-3711	458	14	polynomials	polynomial	NOUN
ejpam-3711	458	15	and	and	CCONJ
ejpam-3711	458	16	its	its	PRON
ejpam-3711	458	17	applications	application	NOUN
ejpam-3711	458	18	to	to	ADP
ejpam-3711	458	19	approximation	approximation	NOUN
ejpam-3711	458	20	theorems	theorem	NOUN
ejpam-3711	458	21	.	.	PUNCT
ejpam-3711	459	1	j.	j.	PROPN
ejpam-3711	459	2	appl	appl	PROPN
ejpam-3711	459	3	.	.	PROPN
ejpam-3711	460	1	anal	anal	PROPN
ejpam-3711	460	2	.	.	PROPN
ejpam-3711	460	3	,	,	PUNCT
ejpam-3711	460	4	24:1–16	24:1–16	NUM
ejpam-3711	460	5	,	,	PUNCT
ejpam-3711	460	6	2018	2018	NUM
ejpam-3711	460	7	.	.	PUNCT
ejpam-3711	461	1	[	[	X
ejpam-3711	461	2	39	39	NUM
ejpam-3711	461	3	]	]	PUNCT
ejpam-3711	461	4	h.	h.	PROPN
ejpam-3711	461	5	m.	m.	PROPN
ejpam-3711	461	6	srivastava	srivastava	PROPN
ejpam-3711	461	7	,	,	PUNCT
ejpam-3711	461	8	b.	b.	PROPN
ejpam-3711	461	9	b.	b.	PROPN
ejpam-3711	461	10	jena	jena	PROPN
ejpam-3711	461	11	,	,	PUNCT
ejpam-3711	461	12	s.	s.	PROPN
ejpam-3711	461	13	k.	k.	PROPN
ejpam-3711	461	14	paikray	paikray	PROPN
ejpam-3711	461	15	,	,	PUNCT
ejpam-3711	461	16	and	and	CCONJ
ejpam-3711	461	17	u.	u.	PROPN
ejpam-3711	461	18	k.	k.	PROPN
ejpam-3711	461	19	misra	misra	PROPN
ejpam-3711	461	20	.	.	PUNCT
ejpam-3711	462	1	generalized	generalize	VERB
ejpam-3711	462	2	equistatistical	equistatistical	ADJ
ejpam-3711	462	3	convergence	convergence	NOUN
ejpam-3711	462	4	of	of	ADP
ejpam-3711	462	5	the	the	DET
ejpam-3711	462	6	deferred	defer	VERB
ejpam-3711	462	7	nörlund	nörlund	NOUN
ejpam-3711	462	8	summability	summability	NOUN
ejpam-3711	462	9	and	and	CCONJ
ejpam-3711	462	10	its	its	PRON
ejpam-3711	462	11	applications	application	NOUN
ejpam-3711	462	12	to	to	ADP
ejpam-3711	462	13	associated	associated	ADJ
ejpam-3711	462	14	approximation	approximation	NOUN
ejpam-3711	462	15	theorems	theorem	NOUN
ejpam-3711	462	16	.	.	PUNCT
ejpam-3711	463	1	rev	rev	PROPN
ejpam-3711	463	2	.	.	PROPN
ejpam-3711	463	3	r.	r.	PROPN
ejpam-3711	463	4	acad	acad	PROPN
ejpam-3711	463	5	.	.	PUNCT
ejpam-3711	464	1	cienc	cienc	PROPN
ejpam-3711	464	2	.	.	PUNCT
ejpam-3711	465	1	exactas	exactas	PROPN
ejpam-3711	465	2	f́ıs	f́ıs	PROPN
ejpam-3711	465	3	.	.	PUNCT
ejpam-3711	466	1	nat	nat	PROPN
ejpam-3711	466	2	.	.	PUNCT
ejpam-3711	467	1	ser	ser	PROPN
ejpam-3711	467	2	.	.	PUNCT
ejpam-3711	468	1	a	a	DET
ejpam-3711	468	2	math	math	NOUN
ejpam-3711	468	3	.	.	PUNCT
ejpam-3711	469	1	(	(	PUNCT
ejpam-3711	469	2	racsam	racsam	PROPN
ejpam-3711	469	3	)	)	PUNCT
ejpam-3711	469	4	,	,	PUNCT
ejpam-3711	469	5	112:1487–1501	112:1487–1501	NOUN
ejpam-3711	469	6	,	,	PUNCT
ejpam-3711	469	7	2018	2018	NUM
ejpam-3711	469	8	.	.	PUNCT
ejpam-3711	470	1	[	[	X
ejpam-3711	470	2	40	40	NUM
ejpam-3711	470	3	]	]	PUNCT
ejpam-3711	470	4	h.	h.	PROPN
ejpam-3711	470	5	m.	m.	PROPN
ejpam-3711	470	6	srivastava	srivastava	PROPN
ejpam-3711	470	7	,	,	PUNCT
ejpam-3711	470	8	b.	b.	PROPN
ejpam-3711	470	9	b.	b.	PROPN
ejpam-3711	470	10	jena	jena	PROPN
ejpam-3711	470	11	,	,	PUNCT
ejpam-3711	470	12	s.	s.	PROPN
ejpam-3711	470	13	k.	k.	PROPN
ejpam-3711	470	14	paikray	paikray	PROPN
ejpam-3711	470	15	,	,	PUNCT
ejpam-3711	470	16	and	and	CCONJ
ejpam-3711	470	17	u.	u.	PROPN
ejpam-3711	470	18	k.	k.	PROPN
ejpam-3711	470	19	misra	misra	PROPN
ejpam-3711	470	20	.	.	PUNCT
ejpam-3711	471	1	statistically	statistically	ADV
ejpam-3711	471	2	and	and	CCONJ
ejpam-3711	471	3	relatively	relatively	ADV
ejpam-3711	471	4	modular	modular	ADJ
ejpam-3711	471	5	deferred	defer	VERB
ejpam-3711	471	6	-	-	PUNCT
ejpam-3711	471	7	weighted	weight	VERB
ejpam-3711	471	8	summability	summability	NOUN
ejpam-3711	471	9	and	and	CCONJ
ejpam-3711	471	10	korovkin	korovkin	NOUN
ejpam-3711	471	11	-	-	PUNCT
ejpam-3711	471	12	type	type	NOUN
ejpam-3711	471	13	approximation	approximation	NOUN
ejpam-3711	471	14	theorems	theorem	NOUN
ejpam-3711	471	15	.	.	PUNCT
ejpam-3711	471	16	symmetry	symmetry	PROPN
ejpam-3711	471	17	,	,	PUNCT
ejpam-3711	471	18	11:1–20	11:1–20	NUM
ejpam-3711	471	19	,	,	PUNCT
ejpam-3711	471	20	2019	2019	NUM
ejpam-3711	471	21	.	.	PUNCT
ejpam-3711	472	1	[	[	X
ejpam-3711	472	2	41	41	NUM
ejpam-3711	472	3	]	]	X
ejpam-3711	472	4	h.	h.	PROPN
ejpam-3711	472	5	steinhaus	steinhaus	PROPN
ejpam-3711	472	6	.	.	PUNCT
ejpam-3711	473	1	sur	sur	PROPN
ejpam-3711	473	2	la	la	PROPN
ejpam-3711	473	3	convergence	convergence	PROPN
ejpam-3711	473	4	ordinaire	ordinaire	NOUN
ejpam-3711	473	5	et	et	NOUN
ejpam-3711	473	6	la	la	PROPN
ejpam-3711	473	7	convergence	convergence	NOUN
ejpam-3711	473	8	asymptotique	asymptotique	NOUN
ejpam-3711	473	9	.	.	PUNCT
ejpam-3711	474	1	colloq	colloq	PROPN
ejpam-3711	474	2	.	.	PUNCT
ejpam-3711	475	1	math	math	PROPN
ejpam-3711	475	2	.	.	PUNCT
ejpam-3711	475	3	,	,	PUNCT
ejpam-3711	475	4	2:73–74	2:73–74	NUM
ejpam-3711	475	5	,	,	PUNCT
ejpam-3711	475	6	1951	1951	NUM
ejpam-3711	475	7	.	.	PUNCT
ejpam-3711	476	1	[	[	X
ejpam-3711	476	2	42	42	NUM
ejpam-3711	476	3	]	]	X
ejpam-3711	476	4	c.	c.	PROPN
ejpam-3711	476	5	x.	x.	PROPN
ejpam-3711	476	6	wu	wu	PROPN
ejpam-3711	476	7	and	and	CCONJ
ejpam-3711	476	8	m.	m.	PROPN
ejpam-3711	476	9	ma	ma	PROPN
ejpam-3711	476	10	.	.	PROPN
ejpam-3711	477	1	sembedding	sembedde	VERB
ejpam-3711	477	2	problem	problem	NOUN
ejpam-3711	477	3	of	of	ADP
ejpam-3711	477	4	fuzzy	fuzzy	ADJ
ejpam-3711	477	5	number	number	NOUN
ejpam-3711	477	6	space	space	NOUN
ejpam-3711	477	7	.	.	PUNCT
ejpam-3711	478	1	fuzzy	fuzzy	ADJ
ejpam-3711	478	2	sets	set	NOUN
ejpam-3711	478	3	and	and	CCONJ
ejpam-3711	478	4	systems	system	NOUN
ejpam-3711	478	5	,	,	PUNCT
ejpam-3711	478	6	44:33–38	44:33–38	NUM
ejpam-3711	478	7	,	,	PUNCT
ejpam-3711	478	8	1991	1991	NUM
ejpam-3711	478	9	.	.	PUNCT