Some Identities on Bernstein Polynomials Associated with q-Euler Polynomials

被引:7
|
作者
Bayad, A. [2 ]
Kim, T. [1 ]
Lee, B. [3 ]
Rim, S. -H. [4 ]
机构
[1] Kwang Woon Univ, Div Gen Educ Math, Seoul 139701, South Korea
[2] Univ Evry Val dEssonne, Dept Math, F-91025 Evry, France
[3] Kwangwoon Univ, Dept Wireless Commun Engn, Seoul 139701, South Korea
[4] Kyungpook Natl Univ, Dept Math Educ, Taegu 702701, South Korea
关键词
D O I
10.1155/2011/294715
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We investigate some interesting properties of the q-Euler polynomials. The purpose of this paper is to give some relationships between Bernstein and q-Euler polynomials, which are derived by the p-adic integral representation of the Bernstein polynomials associated with q-Euler polynomials.
引用
收藏
页数:10
相关论文
共 50 条
  • [11] Some identities and recurrences relations for the q-Bernoulli and q-Euler polynomials
    Kurt, Veli
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 44 (06): : 1397 - 1404
  • [12] On p-Adic Fermionic Integrals of q-Bernstein Polynomials Associated with q-Euler Numbers and Polynomials
    Jang, Lee-Chae
    Kim, Taekyun
    Kim, Dae San
    Dolgy, Dmitry Victorovich
    SYMMETRY-BASEL, 2018, 10 (08):
  • [13] Some relationship between q-Bernstein polynomials and extended q-Euler numbers
    Kim, T.
    Lee, B.
    Ryoo, C. S.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2012, 14 (03) : 507 - 515
  • [14] Some identities of q-Euler polynomials arising from q-umbral calculus
    Dae San Kim
    Taekyun Kim
    Journal of Inequalities and Applications, 2014
  • [15] On q-Euler Numbers Related to the Modified q-Bernstein Polynomials
    Kim, Min-Soo
    Kim, Daeyeoul
    Kim, Taekyun
    ABSTRACT AND APPLIED ANALYSIS, 2010,
  • [16] Some identities of q-Euler polynomials arising from q-umbral calculus
    Kim, Dae San
    Kim, Taekyun
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [17] Some identities on the higher-order twisted q-Euler numbers and polynomials
    Ryoo, C. S.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 22 (05) : 825 - 830
  • [18] Some Properties on the q-Euler Numbers and Polynomials
    Kim, T.
    Lee, S. -H.
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [19] Some identities of q-Euler polynomials under the symmetric group of degree n
    Kim, Taekyun
    Kim, Dae San
    Kwon, Hyuck-In
    Seo, Jong-Jin
    Dolgy, D. V.
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03): : 1077 - 1082
  • [20] Generalized q-Euler Numbers and Polynomials of Higher Order and Some Theoretic Identities
    Kim, T.
    Kim, Y. H.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,