A NOTE ON q-BERNOULLI NUMBERS AND q-BERNSTEIN POLYNOMIALS

被引:0
|
作者
Kim, Taekyun [1 ]
Ryoo, Cheon Seoung [2 ]
Yi, Heungsu [3 ]
机构
[1] Kwangwoon Univ, Div Gen Educ, Seoul 139701, South Korea
[2] Hannam Univ, Dept Math, Taejon 306791, South Korea
[3] Kwangwoon Univ, Dept Math, Seoul 139701, South Korea
关键词
Kim's q-Bernstein polynomial; extended Kim's q-Bernstein operator; q-Bernoulli numbers;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The purpose of this paper is to investigate some properties of several q-Bernstein type polynomials to express the bosonic p-adic q-integral of those polynomials on Z(p).
引用
收藏
页码:437 / 447
页数:11
相关论文
共 33 条
  • [11] On q-hypergeometric Bernoulli polynomials and numbers
    Mboutngam, Salifou
    Sadjang, Patrick Njionou
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (05): : 1251 - 1267
  • [12] On Generalized Bivariate (p,q)-Bernoulli-Fibonacci Polynomials and Generalized Bivariate (p,q)-Bernoulli-Lucas Polynomials
    Guan, Hao
    Khan, Waseem Ahmad
    Kizilates, Can
    SYMMETRY-BASEL, 2023, 15 (04):
  • [13] On (h, q)-Daehee numbers and polynomials
    Do, Younghae
    Lim, Dongkyu
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [14] MODIFIED q-DAEHEE NUMBERS AND POLYNOMIALS
    Lim, Dongkyu
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2016, 21 (02) : 324 - 330
  • [15] On q-analgue of the twisted L-functions and q-twisted Bernoulli numbers
    Simsek, Y
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2003, 40 (06) : 963 - 975
  • [16] On a class of two dimensional (w, q)-Bernoulli and (w, q)-Euler polynomials: Properties and location of zeros
    Mahmudov, N. I.
    Akkeles, A.
    Oneren, A.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (02) : 282 - 292
  • [17] q-EXTENSIONS OF SOME RELATIONSHIPS BETWEEN THE BERNOULLI AND EULER POLYNOMIALS
    Luo, Qiu-Ming
    Srivastava, H. M.
    TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (01): : 241 - 257
  • [18] Remarks on Interpolation Function of Higher Order (h,q)-Bernoulli Numbers
    Aygunes, Aykut Ahmet
    Simsek, Yilmaz
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2, 2009, 1168 : 61 - 64
  • [19] A note on the generalized q-Euler numbers (2)
    Park, Kyoung-Ho
    Kim, Young-Hee
    Kim, Taekyun
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2010, 12 (03) : 630 - 636
  • [20] ON THE q-EXTENSION OF THE TWISTED GENERALIZED EULER NUMBERS AND POLYNOMIALS ATTACHED TO χ
    Kim, Y. H.
    Lee, B.
    Kim, T.
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2011, 13 (07) : 1208 - 1213