Unified Bernstein and Bleimann-Butzer-Hahn basis and its properties

Advances in Difference Equations

Mehmet Bozer¹  Mehmet Ali zarslan¹ 

[1] Eastern Mediterranean University, Gazimagusa, Turkey

关键词: generating function;    Bernstein polynomials;    Bernoulli polynomials;    Euler polynomials;    Genocchi polynomials;    Stirling numbers of the second kind;   

DOI  :  10.1186/1687-1847-2013-55

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper we introduce the unification of Bernstein and Bleimann-Butzer-Hahn basis via the generating function. We give the representation of this unified family in terms of Apostol-type polynomials and Stirling numbers of the second kind. More generating functions of trigonometric type are also obtained to this unification. MSC:11B65, 11B68, 41A10, 30C15.

【 授权许可】

CC BY