q-Parametric Bleimann Butzer and Hahn Operators

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Hindawi Publishing Corporation

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info:eu-repo/semantics/openAccess

Abstract

We introduce a new q -parametric generalization of Bleimann, Butzer, and Hahn operators in [superscript]C1+x*[/superscript] [0,∞) . We study some properties of q -BBH operators and establish the rate of convergence for q -BBH operators. We discuss Voronovskaja-type theorem and saturation of convergence for q -BBH operators for arbitrary fixed 0<q<1 . We give explicit formulas of Voronovskaja-type for the q -BBH operators for 0<q<1 . Also, we study convergence of the derivative of q -BBH operators

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The file in this item is the publisher version (published version) of the article.

Keywords

parametric generalization, MATHEMATICS, APPLIED, GENERALIZED BERNSTEIN POLYNOMIALS, CONVERGENCE

Journal or Series

Journal of Inequalities and Applications

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2008

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