q-Bernstein-Schurer-Kantorovich Operators

Please use this identifier to cite or link to this item: http://hdl.handle.net/11129/3442

Title:	q-Bernstein-Schurer-Kantorovich Operators
Authors:	Özarslan, Mehmet Ali Vedi, Tuba Eastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematics
Keywords:	q-analysis; q-integral operator; positive linear operators q-Bernstein operators; modulus of continuity
Issue Date:	2013
Publisher:	Springer International Publishing
Abstract:	In the present paper, we introduce the q-Bernstein-Schurer-Kantorovich operators. We give the Korovkin-type approximation theorem and obtain the rate of convergence of this approximation by means of the first and the second modulus of continuity. Moreover, we compute the order of convergence of the operators in terms of the elements of Lipschitz class functions and the modulus of continuity of the derivative of the function.
Description:	The file in this item is the publisher version (published version) of the article
URI:	http://dx.doi.org/10.1186/1029-242X-2013-444 http://hdl.handle.net/11129/3442
ISSN:	1029-242X
Appears in Collections:	MAT – Journal Articles: Publisher & Author Versions (Post-Print Author Versions) – Mathematics

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