SOME RELATIONS BETWEEN THE q-BERNSTEIN POLYNOMIALS AND TWISTED q-EULER NUMBERS WITH WEIGHT α

被引：0

作者：

Ryoo, C. S. ^{[1
]}

机构：

[1] Hannam Univ, Dept Math, Taejon 306791, South Korea

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2012年 / 14卷 / 05期

关键词：

Euler numbers and polynomials; twisted q-Euler numbers and polynomials with weight alpha; Bernstein polynomials; q-Bernstein polynomials;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Recently, we have studied twisted q-Euler numbers and polynomials with weight alpha(see [18]). In this paper, by using fermionic q-integral on Z(p), we give some interesting relationship between the the q-Bernstein polynomials and twisted q-Euler numbers with weight alpha.

引用

页码：909 / 916

页数：8

共 50 条

[41] On the analyticity of functions approximated by their q-Bernstein polynomials when q > 1
Ostrovskii, Iossif
Ostrovska, Sofiya
APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (01) : 65 - 72
[42] The approximation of power function by the q-Bernstein polynomials in the case q > 1
Ostrovska, Sofiya
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2008, 11 (03): : 585 - 597
[43] The approximation of logarithmic function by q-Bernstein polynomials in the case q > 1
Ostrovska, Sofiya
NUMERICAL ALGORITHMS, 2007, 44 (01) : 69 - 82
[44] Approximation properties of bivariate complex q-Bernstein polynomials in the case q > 1
Nazim I. Mahmudov
Czechoslovak Mathematical Journal, 2012, 62 : 557 - 566
[45] The convergence of q-Bernstein polynomials (0 < q < 1) in the complex plane
Ostrovska, Sofiya
MATHEMATISCHE NACHRICHTEN, 2009, 282 (02) : 243 - 252
[46] Approximation properties of bivariate complex q-Bernstein polynomials in the case q > 1
Mahmudov, Nazim I.
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2012, 62 (02) : 557 - 566
[47] The Relations Between Bernoulli, Bernstein and Euler Polynomials
Acikgoz, Mehmet
Araci, Serkan
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 1144 - 1147
[48] SOME IDENTITIES ON THE GENERALIZED q-EULER POLYNOMIALS WITH WEAK WEIGHT alpha ASSOCIATED WITH p-ADIC INVARIANT q-INTEGRAL ON Z(p)
Ryoo, C. S.
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2015, 37 (02): : 157 - 165
[49] AN ESTIMATION TO THE SOLUTION OF AN INITIAL VALUE PROBLEM VIA q-BERNSTEIN POLYNOMIALS
Zorlu, Sonuc
Aktuglu, Huseyin
Ozarslan, Mehmet Ali
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2010, 12 (03) : 637 - 645
[50] An identity of the q-Euler polynomials associated with the p-adic q-integrals on Zp
Ryoo, C. S.
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2013, 15 (06) : 1104 - 1109

← 1 2 3 4 5 →