Smoothness Properties of Modified Bernstein-Kantorovich Operators

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dc.contributor.author	Özarslan, Mehmet Ali
dc.contributor.author	Duman, Oktay
dc.date.accessioned	2017-10-23T08:06:38Z
dc.date.available	2017-10-23T08:06:38Z
dc.date.issued	2016
dc.identifier.issn	0163-0563 (print)
dc.identifier.issn	1532-2467 (online)
dc.identifier.uri	http://dx.doi.org/10.1080/01630563.2015.1079219
dc.identifier.uri	http://hdl.handle.net/11129/3441
dc.description.abstract	In this article, we consider modified Bernstein-Kantorovich operators and investigate their approximation properties. We show that the order of approximation to a function by these operators is at least as good as that of ones classically used. We obtain a simultaneous approximation result for our operators. Also, we prove two direct approximation results via the usual second-order modulus of smoothness and the second-order Ditzian-Totik modulus of smoothness, respectively. Finally, some graphical illustrations are provided.	en_US
dc.language.iso	eng	en_US
dc.publisher	Taylor & Francis	en_US
dc.relation.isversionof	10.1080/01630563.2015.1079219	en_US
dc.rights	info:eu-repo/semantics/closedAccess	en_US
dc.subject	41A36, modulus of continuity,	en_US
dc.subject	Bernstein-Kantorovich operators, simultaneous approximation	en_US
dc.subject	Ditzian-Totik modulus of smoothness, 41A25, MATHEMATICS, APPLIED	en_US
dc.subject	POSITIVE LINEAR-OPERATORS, APPROXIMATION PROPERTIES	en_US
dc.subject	modulus ofcontinuity, Ditzian-Totik modulus ofsmoothness	en_US
dc.title	Smoothness Properties of Modified Bernstein-Kantorovich Operators	en_US
dc.type	article	en_US
dc.relation.journal	Numerical Functional Analysis and Optimization	en_US
dc.contributor.department	Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematics	en_US
dc.identifier.volume	37	en_US
dc.identifier.issue	1	en_US
dc.identifier.startpage	92	en_US
dc.identifier.endpage	105	en_US