id	sid	eid	entity	type
ejpam-2434	1	1	output.dvi european journal	ORG
ejpam-2434	1	2	8	CARDINAL
ejpam-2434	1	3	3	CARDINAL
ejpam-2434	1	4	2015	DATE
ejpam-2434	1	5	324	CARDINAL
ejpam-2434	1	6	1307-5543	DATE
ejpam-2434	1	7	generalized tschebyscheff	PERSON
ejpam-2434	1	8	second	ORDINAL
ejpam-2434	1	9	bernstein	PERSON
ejpam-2434	1	10	mohammad a. alqudah	PERSON
ejpam-2434	1	11	northwood university	ORG
ejpam-2434	1	12	midland	GPE
ejpam-2434	1	13	48640	DATE
ejpam-2434	2	1	tschebyscheff	ORG
ejpam-2434	2	2	second	ORDINAL
ejpam-2434	3	1	bernstein	PERSON
ejpam-2434	3	2	second	ORDINAL
ejpam-2434	3	3	bernstein polynomial basis	ORG
ejpam-2434	4	1	2010	DATE
ejpam-2434	4	2	42c05	DATE
ejpam-2434	4	3	33c50	CARDINAL
ejpam-2434	4	4	33c45	CARDINAL
ejpam-2434	4	5	33c70	PRODUCT
ejpam-2434	4	6	05a10	CARDINAL
ejpam-2434	4	7	33b15	CARDINAL
ejpam-2434	4	8	generalized tschebyscheff	PERSON
ejpam-2434	4	9	bernstein basis	ORG
ejpam-2434	4	10	1	CARDINAL
ejpam-2434	6	1	bernstein basis	ORG
ejpam-2434	6	2	tschebyscheff	ORG
ejpam-2434	7	1	more than one	CARDINAL
ejpam-2434	8	1	1.1	CARDINAL
ejpam-2434	9	1	bernstein	ORG
ejpam-2434	9	2	1	CARDINAL
ejpam-2434	15	1	1	CARDINAL
ejpam-2434	15	2	bernstein	ORG
ejpam-2434	17	1	324	CARDINAL
ejpam-2434	17	2	2015	CARDINAL
ejpam-2434	18	1	m. alqudah	PERSON
ejpam-2434	19	1	j. pure	PERSON
ejpam-2434	19	2	8 (	PERCENT
ejpam-2434	19	3	324	CARDINAL
ejpam-2434	19	4	bernstein polynomials	ORG
ejpam-2434	19	5	2	CARDINAL
ejpam-2434	20	1	bernstein	ORG
ejpam-2434	21	1	bernstein	PERSON
ejpam-2434	22	1	bernstein	ORG
ejpam-2434	22	2	7	CARDINAL
ejpam-2434	24	1	1.2	CARDINAL
ejpam-2434	24	2	1	CARDINAL
ejpam-2434	27	1	1	CARDINAL
ejpam-2434	28	1	p∗n(x	PERSON
ejpam-2434	29	1	∑n k=0	PERSON
ejpam-2434	31	1	1 0	DATE
ejpam-2434	32	1	2d	CARDINAL
ejpam-2434	35	1	a1	PRODUCT
ejpam-2434	37	1	0	CARDINAL
ejpam-2434	41	1	k=0	PERSON
ejpam-2434	41	2	2	CARDINAL
ejpam-2434	41	3	1	CARDINAL
ejpam-2434	41	4	1	CARDINAL
ejpam-2434	41	5	1	CARDINAL
ejpam-2434	41	6	1	CARDINAL
ejpam-2434	41	7	0	CARDINAL
ejpam-2434	42	1	1	CARDINAL
ejpam-2434	42	2	p∗n(x	PERSON
ejpam-2434	44	1	1	CARDINAL
ejpam-2434	44	2	1	CARDINAL
ejpam-2434	44	3	1	CARDINAL
ejpam-2434	52	1	m. alqudah	PERSON
ejpam-2434	53	1	j. pure	PERSON
ejpam-2434	53	2	8 (	PERCENT
ejpam-2434	53	3	324	CARDINAL
ejpam-2434	54	1	γ(n	ORG
ejpam-2434	54	2	1	CARDINAL
ejpam-2434	57	1	first	ORDINAL
ejpam-2434	58	1	2	CARDINAL
ejpam-2434	59	1	first	ORDINAL
ejpam-2434	59	2	two	CARDINAL
ejpam-2434	59	3	1	CARDINAL
ejpam-2434	60	1	ℜ(x),ℜ(y	PERSON
ejpam-2434	61	1	0	CARDINAL
ejpam-2434	62	1	2	CARDINAL
ejpam-2434	62	2	1)!!=	CARDINAL
ejpam-2434	62	3	1)(2n− 3)(2n−	DATE
ejpam-2434	62	4	5	CARDINAL
ejpam-2434	63	1	3)(1	CARDINAL
ejpam-2434	63	2	4	CARDINAL
ejpam-2434	64	1	4)(2	CARDINAL
ejpam-2434	64	2	3	CARDINAL
ejpam-2434	64	3	0!!=	CARDINAL
ejpam-2434	65	1	3	CARDINAL
ejpam-2434	65	2	2	CARDINAL
ejpam-2434	66	1	2	CARDINAL
ejpam-2434	66	2	2	CARDINAL
ejpam-2434	66	3	2	CARDINAL
ejpam-2434	67	1	4	CARDINAL
ejpam-2434	67	2	1 2	CARDINAL
ejpam-2434	68	1	2n+1	CARDINAL
ejpam-2434	69	1	5	CARDINAL
ejpam-2434	69	2	4	CARDINAL
ejpam-2434	69	3	2n)!!=	CARDINAL
ejpam-2434	70	1	1.4	CARDINAL
ejpam-2434	71	1	tschebyscheff-ii	ORG
ejpam-2434	71	2	tschebyscheff-ii	ORG
ejpam-2434	71	3	tschebyscheff-ii	ORG
ejpam-2434	71	4	jacobi polynomials p	ORG
ejpam-2434	71	5	1/2	CARDINAL
ejpam-2434	71	6	tschebyscheffii	ORG
ejpam-2434	71	7	jacobi	PERSON
ejpam-2434	71	8	1 2	CARDINAL
ejpam-2434	71	9	1 2	CARDINAL
ejpam-2434	71	10	1)p	CARDINAL
ejpam-2434	71	11	1 2	CARDINAL
ejpam-2434	71	12	1 2	CARDINAL
ejpam-2434	72	1	tschebyscheff-ii	ORG
ejpam-2434	73	1	tschebyscheff-ii	ORG
ejpam-2434	74	1	8	CARDINAL
ejpam-2434	75	1	2n+ 1	CARDINAL
ejpam-2434	76	1	n ∑ k=0	PERSON
ejpam-2434	76	2	1 2	CARDINAL
ejpam-2434	76	3	1 2 k	QUANTITY
ejpam-2434	77	1	1 2	TIME
ejpam-2434	77	2	6	CARDINAL
ejpam-2434	77	3	bernstein	PERSON
ejpam-2434	78	1	1	CARDINAL
ejpam-2434	79	1	2n+ 1	CARDINAL
ejpam-2434	80	1	n ∑ k=0	PERSON
ejpam-2434	80	2	1 2 k	QUANTITY
ejpam-2434	80	3	1 2	CARDINAL
ejpam-2434	81	1	7	CARDINAL
ejpam-2434	81	2	m. alqudah	PERSON
ejpam-2434	82	1	j. pure	PERSON
ejpam-2434	82	2	8 (	PERCENT
ejpam-2434	82	3	324	CARDINAL
ejpam-2434	82	4	tschebyscheff-ii	ORG
ejpam-2434	85	1	1− x2	CARDINAL
ejpam-2434	86	1	4	CARDINAL
ejpam-2434	87	1	1	CARDINAL
ejpam-2434	87	2	1 2	CARDINAL
ejpam-2434	87	3	1− x	QUANTITY
ejpam-2434	87	4	1 2	CARDINAL
ejpam-2434	87	5	6=	DATE
ejpam-2434	87	6	tschebyscheff-ii	ORG
ejpam-2434	87	7	1	CARDINAL
ejpam-2434	87	8	tschebyscheff-ii	ORG
ejpam-2434	87	9	∞ n=0	PERSON
ejpam-2434	87	10	5	CARDINAL
ejpam-2434	87	11	2	CARDINAL
ejpam-2434	87	12	1− x	QUANTITY
ejpam-2434	87	13	1 2	CARDINAL
ejpam-2434	87	14	1+ x	QUANTITY
ejpam-2434	87	15	1	CARDINAL
ejpam-2434	87	16	1	CARDINAL
ejpam-2434	88	1	9	CARDINAL
ejpam-2434	88	2	1	CARDINAL
ejpam-2434	88	3	2n+ 1	CARDINAL
ejpam-2434	89	1	2n(n+ 1	FAC
ejpam-2434	91	1	2k(k+ 1	PERSON
ejpam-2434	93	1	10	CARDINAL
ejpam-2434	96	1	2)(k+ 1)2k2(k− 1)mn 9	DATE
ejpam-2434	97	1	11	CARDINAL
ejpam-2434	97	2	2	CARDINAL
ejpam-2434	97	3	tschebyscheff-ii	ORG
ejpam-2434	97	4	bernstein polynomial basis	ORG
ejpam-2434	97	5	tschebyscheff-ii	ORG
ejpam-2434	98	1	2.1	CARDINAL
ejpam-2434	98	2	bernstein	PERSON
ejpam-2434	98	3	generalized tschebyscheff-ii	PERSON
ejpam-2434	99	1	6	CARDINAL
ejpam-2434	99	2	first	ORDINAL
ejpam-2434	100	1	6	CARDINAL
ejpam-2434	100	2	tschebyscheff-ii	ORG
ejpam-2434	100	3	9	CARDINAL
ejpam-2434	101	1	1	CARDINAL
ejpam-2434	101	2	tschebyscheff-ii	ORG
ejpam-2434	101	3	bernstein	ORG
ejpam-2434	104	1	r. theorem 1	PERSON
ejpam-2434	104	2	1	CARDINAL
ejpam-2434	105	1	tschebyscheff-ii	ORG
ejpam-2434	105	2	bernstein	PERSON
ejpam-2434	106	1	2r + 1	DATE
ejpam-2434	109	1	∑ i=0	PERSON
ejpam-2434	110	1	∑ k=0	PERSON
ejpam-2434	111	1	2k(k+ 1	QUANTITY
ejpam-2434	112	1	k ∑ i=0	ORG
ejpam-2434	112	2	kbk	PERSON
ejpam-2434	112	3	12	CARDINAL
ejpam-2434	112	4	m. alqudah	PERSON
ejpam-2434	113	1	j. pure	PERSON
ejpam-2434	113	2	8 (	PERCENT
ejpam-2434	113	3	324	CARDINAL
ejpam-2434	113	4	11	CARDINAL
ejpam-2434	114	1	2r+1	CARDINAL
ejpam-2434	114	2	22r	CARDINAL
ejpam-2434	114	3	2r	CARDINAL
ejpam-2434	114	4	ϑi	PERSON
ejpam-2434	114	5	2r	CARDINAL
ejpam-2434	114	6	2i	CARDINAL
ejpam-2434	114	7	2r	CARDINAL
ejpam-2434	114	8	2r 2i	CARDINAL
ejpam-2434	115	1	r.	NORP
ejpam-2434	115	2	2r	CARDINAL
ejpam-2434	115	3	2i	CARDINAL
ejpam-2434	115	4	2i + 1	DATE
ejpam-2434	115	5	1	CARDINAL
ejpam-2434	117	1	r.	PERSON
ejpam-2434	117	2	13	CARDINAL
ejpam-2434	117	3	tschebyscheff-ii	ORG
ejpam-2434	117	4	bernstein	ORG
ejpam-2434	118	1	2	CARDINAL
ejpam-2434	121	1	tschebyscheff-ii	ORG
ejpam-2434	121	2	bernstein polynomial basis	ORG
ejpam-2434	121	3	∑ k=0	PERSON
ejpam-2434	121	4	14	CARDINAL
ejpam-2434	121	5	11	CARDINAL
ejpam-2434	121	6	2r + 1	DATE
ejpam-2434	124	1	∑ k=max(0,i+r−n	PERSON
ejpam-2434	124	2	i−k	ORG
ejpam-2434	124	3	1 2 k	QUANTITY
ejpam-2434	124	4	1 2	QUANTITY
ejpam-2434	128	1	tschebyscheff-ii	ORG
ejpam-2434	129	1	∑n i=0 diu (m	PERSON
ejpam-2434	130	1	tschebyscheff-ii	ORG
ejpam-2434	130	2	ci = n ∑ r=0 m n	PERSON
ejpam-2434	130	3	15	CARDINAL
ejpam-2434	130	4	 c0 c1	PERSON
ejpam-2434	131	1	  =	WORK_OF_ART
ejpam-2434	132	1	1,1	CARDINAL
ejpam-2434	136	1	  .	ORG
ejpam-2434	140	1	 	ORG
ejpam-2434	141	1	16	CARDINAL
ejpam-2434	141	2	tschebyscheff-ii	ORG
ejpam-2434	141	3	10	CARDINAL
ejpam-2434	142	1	17	CARDINAL
ejpam-2434	142	2	m. alqudah	PERSON
ejpam-2434	143	1	j. pure	PERSON
ejpam-2434	143	2	8 (	PERCENT
ejpam-2434	143	3	324	CARDINAL
ejpam-2434	143	4	the the (n+1)×	DATE
ejpam-2434	144	1	ci = n ∑ r=0 dr n n	PERSON
ejpam-2434	145	1	18	CARDINAL
ejpam-2434	145	2	15	CARDINAL
ejpam-2434	145	3	18	CARDINAL
ejpam-2434	147	1	bernstein	ORG
ejpam-2434	148	1	3	CARDINAL
ejpam-2434	148	2	∑	PERSON
ejpam-2434	151	1	r.	PERSON
ejpam-2434	151	2	19	CARDINAL
ejpam-2434	151	3	19	CARDINAL
ejpam-2434	151	4	12	CARDINAL
ejpam-2434	152	1	2r	CARDINAL
ejpam-2434	155	1	∑ k=max(0,i+r−n	PERSON
ejpam-2434	155	2	+ 1 2	QUANTITY
ejpam-2434	155	3	− k � + r ∑ k=0	PERSON
ejpam-2434	156	1	2k(k+ 1	QUANTITY
ejpam-2434	157	1	j � n− k	PERSON
ejpam-2434	158	1	1 2	CARDINAL
ejpam-2434	158	2	1 2	CARDINAL
ejpam-2434	158	3	k−	NORP
ejpam-2434	159	1	20	CARDINAL
ejpam-2434	161	1	2k(k+ 1	QUANTITY
ejpam-2434	162	1	j � n−k i− j	PERSON
ejpam-2434	162	2	1 2	CARDINAL
ejpam-2434	162	3	1 2	CARDINAL
ejpam-2434	162	4	k−	NORP
ejpam-2434	163	1	tschebyscheff-ii	ORG
ejpam-2434	163	2	bernstein	ORG
ejpam-2434	163	3	1	CARDINAL
ejpam-2434	164	1	tschebyscheff-ii	ORG
ejpam-2434	167	1	bernstein	PERSON
ejpam-2434	168	1	2r + 1	DATE
ejpam-2434	171	1	∑ k=max(0,i+r−n	PERSON
ejpam-2434	172	1	2k+	CARDINAL
ejpam-2434	172	2	2r	CARDINAL
ejpam-2434	173	1	∑ k=0	PERSON
ejpam-2434	174	1	2k(k+ 1	QUANTITY
ejpam-2434	175	1	1)2	CARDINAL
ejpam-2434	175	2	2	CARDINAL
ejpam-2434	175	3	j + 1)(2	PERSON
ejpam-2434	175	4	j + 1	LAW
ejpam-2434	175	5	2k k	QUANTITY
ejpam-2434	175	6	2k 2	QUANTITY
ejpam-2434	176	1	m. alqudah	PERSON
ejpam-2434	177	1	j. pure	PERSON
ejpam-2434	177	2	8 (	PERCENT
ejpam-2434	177	3	324	CARDINAL
ejpam-2434	178	1	17	CARDINAL
ejpam-2434	178	2	tschebyscheff-ii	ORG
ejpam-2434	178	3	bernstein	ORG
ejpam-2434	178	4	5	CARDINAL
ejpam-2434	179	1	+ 1 2 k	QUANTITY
ejpam-2434	179	2	2r + 1	DATE
ejpam-2434	179	3	2r(2r	CARDINAL
ejpam-2434	180	1	2r	CARDINAL
ejpam-2434	180	2	1	CARDINAL
ejpam-2434	181	1	2k− 1	DATE
ejpam-2434	182	1	2r +	DATE
ejpam-2434	183	1	2r	CARDINAL
ejpam-2434	183	2	1	CARDINAL
ejpam-2434	184	1	2(r	CARDINAL
ejpam-2434	186	1	+ 1 2	QUANTITY
ejpam-2434	186	2	2r	CARDINAL
ejpam-2434	188	1	2k+	CARDINAL
ejpam-2434	189	1	2r	CARDINAL
ejpam-2434	190	1	20	CARDINAL
ejpam-2434	191	1	1	CARDINAL
ejpam-2434	192	1	3	CARDINAL
ejpam-2434	192	2	1	CARDINAL
ejpam-2434	193	1	tschebyscheff-ii	ORG
ejpam-2434	196	1	1	CARDINAL
ejpam-2434	196	2	1 2	CARDINAL
ejpam-2434	196	3	1− x	QUANTITY
ejpam-2434	196	4	1 2 bn	MONEY
ejpam-2434	196	5	11	CARDINAL
ejpam-2434	196	6	2d + 1	DATE
ejpam-2434	199	1	∑ j=0	GPE
ejpam-2434	201	1	21	CARDINAL
ejpam-2434	202	1	tschebyscheff-ii	ORG
ejpam-2434	202	2	16	CARDINAL
ejpam-2434	204	1	m−1	PRODUCT
ejpam-2434	207	1	22	CARDINAL
ejpam-2434	209	1	22	CARDINAL
ejpam-2434	209	2	1 2	CARDINAL
ejpam-2434	209	3	1−x	CARDINAL
ejpam-2434	209	4	1 2	CARDINAL
ejpam-2434	210	1	1	CARDINAL
ejpam-2434	210	2	1 2	CARDINAL
ejpam-2434	210	3	1− x	QUANTITY
ejpam-2434	210	4	1 2 bn	MONEY
ejpam-2434	210	5	1	CARDINAL
ejpam-2434	210	6	1 2	CARDINAL
ejpam-2434	210	7	1− x	QUANTITY
ejpam-2434	210	8	1 2	CARDINAL
ejpam-2434	211	1	23	CARDINAL
ejpam-2434	211	2	x)(1− x	PRODUCT
ejpam-2434	211	3	1 2 x	QUANTITY
ejpam-2434	211	4	1 2	CARDINAL
ejpam-2434	211	5	8	CARDINAL
ejpam-2434	211	6	2i + 1	QUANTITY
ejpam-2434	215	1	2	CARDINAL
ejpam-2434	216	1	24	CARDINAL
ejpam-2434	216	2	331	CARDINAL
ejpam-2434	216	3	2	CARDINAL
ejpam-2434	216	4	3	CARDINAL
ejpam-2434	216	5	21	CARDINAL
ejpam-2434	217	1	8	CARDINAL
ejpam-2434	217	2	2	CARDINAL
ejpam-2434	218	1	2i	CARDINAL
ejpam-2434	219	1	2	CARDINAL
ejpam-2434	221	1	25	CARDINAL
ejpam-2434	221	2	4	CARDINAL
ejpam-2434	222	1	tschebyscheff-ii	ORG
ejpam-2434	222	2	8	CARDINAL
ejpam-2434	222	3	2	CARDINAL
ejpam-2434	223	1	2i	CARDINAL
ejpam-2434	224	1	2	CARDINAL
ejpam-2434	228	1	1	CARDINAL
ejpam-2434	228	2	m. alqudah	PERSON
ejpam-2434	229	1	tschebyscheff	ORG
ejpam-2434	229	2	second	ORDINAL
ejpam-2434	230	1	turkish	NORP
ejpam-2434	230	2	39	DATE
ejpam-2434	231	1	http://dx.doi.org/10.3906/mat-1501-44. 2015	DATE
ejpam-2434	232	1	2	CARDINAL
ejpam-2434	232	2	r.	NORP
ejpam-2434	234	1	29(6	CARDINAL
ejpam-2434	234	2	379–419	CARDINAL
ejpam-2434	234	3	2012	DATE
ejpam-2434	235	1	3	CARDINAL
ejpam-2434	235	2	r.	NORP
ejpam-2434	235	3	rajan	PERSON
ejpam-2434	235	4	bernstein	ORG
ejpam-2434	236	1	5(1	CARDINAL
ejpam-2434	236	2	1–26.	DATE
ejpam-2434	237	1	1988	DATE
ejpam-2434	238	1	4	CARDINAL
ejpam-2434	238	2	i. gradshtein	PERSON
ejpam-2434	238	3	i. ryzhik	PERSON
ejpam-2434	240	1	new york	GPE
ejpam-2434	241	1	1980	DATE
ejpam-2434	242	1	5	CARDINAL
ejpam-2434	243	1	1− x)α(1	DATE
ejpam-2434	243	2	+ 1	DATE
ejpam-2434	243	3	1	CARDINAL
ejpam-2434	244	1	canadian	NORP
ejpam-2434	244	2	205–214	CARDINAL
ejpam-2434	244	3	1984	DATE
ejpam-2434	245	1	6	CARDINAL
ejpam-2434	246	1	chebyshev bernstein polynomial basis	ORG
ejpam-2434	247	1	3(4	CARDINAL
ejpam-2434	247	2	608–622	CARDINAL
ejpam-2434	247	3	2003	DATE
ejpam-2434	248	1	j. rice	PERSON
ejpam-2434	249	1	linear	ORG
ejpam-2434	251	1	1.	CARDINAL
ejpam-2434	251	2	addison-wesley	ORG
ejpam-2434	251	3	mass. 1964	GPE
ejpam-2434	252	1	8	CARDINAL
ejpam-2434	254	1	american mathematical	ORG
ejpam-2434	255	1	23	CARDINAL
ejpam-2434	256	1	4th	ORDINAL
ejpam-2434	256	2	providence	PERSON
ejpam-2434	256	3	ri	GPE
ejpam-2434	256	4	american	NORP
ejpam-2434	257	1	1975	DATE