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Please use this identifier to cite or link to this item:
http://hdl.handle.net/11129/3435
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| Title: | Unified Bernstein and Bleimann-Butzer-Hahn basis and its properties |
| Authors: | Özarslan, Mehmet Ali
Bozer, Mehmet
Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematics |
| 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 |
| Issue Date: | 2013 |
| Publisher: | Springer International Publishing AG |
| 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. |
| Description: | The file in this item is the publisher version (published version) of the article. |
| URI: | http://dx.doi.org/10.1186/1687-1847-2013-55
http://hdl.handle.net/11129/3435 |
| ISSN: | 1687-1847, 1687-1839 |
| Appears in Collections: | MAT – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Mathematics
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