Unified Bernstein and Bleimann-Butzer-Hahn basis and its properties
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Springer International Publishing AG
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info:eu-repo/semantics/openAccess
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.
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The file in this item is the publisher version (published version) of the article.
Keywords
Euler polynomials, generating function, Functional Analysis, Bernstein polynomials,, Mathematics, Difference and Functional Equations, Bernoulli polynomials,, Partial Differential Equations, Stirling numbers of the second kind, Analysis, Ordinary Differential Equations, Generating function, Functions, Continuous, Inequalities (Mathematics), Difference equations, Euler angles, Usage
Journal or Series
Advances in Difference Equations
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Scopus Q Value
Volume
2013
Issue
1
