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

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dc.contributor.author	Özarslan, Mehmet Ali
dc.contributor.author	Bozer, Mehmet
dc.date.accessioned	2017-10-23T08:03:54Z
dc.date.available	2017-10-23T08:03:54Z
dc.date.issued	2013
dc.identifier.issn	1687-1847, 1687-1839
dc.identifier.uri	http://dx.doi.org/10.1186/1687-1847-2013-55
dc.identifier.uri	http://hdl.handle.net/11129/3435
dc.description	The file in this item is the publisher version (published version) of the article.	en_US
dc.description.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.	en_US
dc.language.iso	tur	en_US
dc.publisher	Springer International Publishing AG	en_US
dc.relation.isversionof	/10.1186/1687-1847-2013-55	en_US
dc.rights	info:eu-repo/semantics/openAccess	en_US
dc.subject	Euler polynomials, generating function, Functional Analysis, Bernstein polynomials,	en_US
dc.subject	Mathematics, Difference and Functional Equations, Bernoulli polynomials,	en_US
dc.subject	Partial Differential Equations, Stirling numbers of the second kind, Analysis, Ordinary Differential Equations	en_US
dc.subject	Generating function, Functions, Continuous, Inequalities (Mathematics), Difference equations, Euler angles, Usage	en_US
dc.title	Unified Bernstein and Bleimann-Butzer-Hahn basis and its properties	en_US
dc.type	article	en_US
dc.relation.journal	Advances in Difference Equations	en_US
dc.contributor.department	Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematics	en_US
dc.identifier.volume	2013	en_US
dc.identifier.issue	1	en_US
dc.identifier.startpage	1	en_US
dc.identifier.endpage	14	en_US