q-Bernstein-Schurer-Kantorovich Operators
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Springer International Publishing
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info:eu-repo/semantics/openAccess
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.
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The file in this item is the publisher version (published version) of the article
Keywords
q-analysis; q-integral operator; positive linear operators, q-Bernstein operators; modulus of continuity
Journal or Series
Journal of Inequalities and Applications
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Volume
2013
