On the Generating Function for Bernstein Polynomials

被引:0
作者
Acikgoz, Mehmet [1 ]
Araci, Serkan [1 ]
机构
[1] Gaziantep Univ, Fac Arts & Sci, Dept Math, TR-27310 Gaziantep, Turkey
来源
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III | 2010年 / 1281卷
关键词
Generating function; Bernstein polynomials; Bernoulli polynomials; Euler polynomials; NUMBERS; BERNOULLI; ZETA;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The aim of this paper is to give main properties of the generating function of the Bernstein polynomials. We prove recurrence relations and derivative formula for Bernstein polynomials. Furthermore, some new results are obtained by using this generating function of these polynomials.
引用
收藏
页码:1141 / 1143
页数:3
相关论文
共 9 条
[1]   On Multiple Interpolation Functions of the Norlund-Type q-Euler Polynomials [J].
Acikgoz, Mehmet ;
Simsek, Yilmaz .
ABSTRACT AND APPLIED ANALYSIS, 2009,
[2]  
[Anonymous], MATH MAGAZINE
[3]  
Guan Z., ARXIV09090684V3
[4]   On the analogs of bernoulli and euler numbers, related identities and zeta and L-functions [J].
Kim, Taekyun ;
Rim, Seog-Hoon ;
Simsek, Yilmaz ;
Kim, Daeyeoul .
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (02) :435-453
[5]  
Lorentz G. G., 1953, Bernstein Polynomials
[6]   Twisted (h, q)-Bernoulli numbers and polynomials related to twisted (h,q)-zeta function and L-function [J].
Simsek, Yilmaz .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (02) :790-804
[7]   A New Generating Function of (q-) Bernstein-Type Polynomials and Their Interpolation Function [J].
Simsek, Yilmaz ;
Acikgoz, Mehmet .
ABSTRACT AND APPLIED ANALYSIS, 2010,
[8]  
Srivastava HM, 2005, RUSS J MATH PHYS, V12, P241
[9]  
[No title captured]