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

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

Özarslan, Mehmet Ali; Bozer, Mehmet

URI: http://dx.doi.org/10.1186/1687-1847-2013-55
http://hdl.handle.net/11129/3435

Date: 2013

Abstract:

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.