Some Identities of Bernoulli Numbers and Polynomials Associated with Bernstein Polynomials

被引:3
作者
Kim, Min-Soo [2 ]
Kim, Taekyun [1 ]
Lee, Byungje [3 ]
Ryoo, Cheon-Seoung [4 ]
机构
[1] Kwangwoon Univ, Div Gen Educ Math, Seoul 139701, South Korea
[2] Korea Adv Inst Sci & Technol, Dept Math, Taejon 305701, South Korea
[3] Kwangwoon Univ, Dept Wireless Commun Engn, Seoul 139701, South Korea
[4] Hannam Univ, Dept Math, Taejon 306791, South Korea
关键词
Prime Number; Algebraic Closure; Basis Polynomial; Bernstein Polynomial; Bernoulli Number;
D O I
10.1155/2010/305018
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 Bernstein polynomials related to the bosonic p-adic integrals on Z(p).
引用
收藏
页数:7
相关论文
共 50 条
[21]   Some Symmetry Identities for the Euler Polynomials [J].
Sheng Liang YANG 1 ;
2.Department of Mathematics .
Journal of Mathematical Research with Applications, 2010, (03) :457-464
[22]   Extended Zeilberger's algorithm for identities on Bernoulli and Euler polynomials [J].
Chen, William Y. C. ;
Sun, Lisa H. .
JOURNAL OF NUMBER THEORY, 2009, 129 (09) :2111-2132
[23]   On the estimation of the Bernoulli regression function using Bernstein polynomials for group observations [J].
Babilua, Petre .
GEORGIAN MATHEMATICAL JOURNAL, 2022, 29 (03) :335-341
[24]   Some identities involving Bernoulli and Stirling numbers [J].
Shirai, S ;
Sato, K .
JOURNAL OF NUMBER THEORY, 2001, 90 (01) :130-142
[25]   Some Determinantal Expressions and Recurrence Relations of the Bernoulli Polynomials [J].
Qi, Feng ;
Guo, Bai-Ni .
MATHEMATICS, 2016, 4 (04)
[26]   About Bernstein polynomials [J].
Farcas, Mircea D. .
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2008, 35 :117-121
[27]   Some numerical integration methods based on Bernstein polynomials [J].
Amirfakhrian, Majid .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2011, 88 (06) :1294-1304
[28]   Some identities and an explicit formula for Bernoulli and Stirling numbers [J].
Guo, Bai-Ni ;
Qi, Feng .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 255 :568-579
[29]   On the Approximation of Differentiable Functions by Bernstein Polynomials and Kantorovich Polynomials [J].
Telyakovskii, S. A. .
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2008, 260 (01) :279-286
[30]   On the approximation of differentiable functions by Bernstein polynomials and Kantorovich polynomials [J].
S. A. Telyakovskii .
Proceedings of the Steklov Institute of Mathematics, 2008, 260 :279-286