文章基本信息

标题：Unified Bernstein and Bleimann-Butzer-Hahn basis and its properties
本地全文：下载
作者：Mehmet Ali Özarslan ; Mehmet Bozer
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：55
DOI：10.1186/1687-1847-2013-55
语种：English
出版社：Hindawi Publishing Corporation
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.
关键词：generating function ; Bernstein polynomials ; Bernoulli polynomials ; Euler polynomials ; Genocchi polynomials ; Stirling numbers of the second kind