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-Parametric Bleimann Butzer and Hahn Operators

Abstract

We introduce a new -parametric generalization of Bleimann, Butzer, and Hahn operators in . We study some properties of -BBH operators and establish the rate of convergence for -BBH operators. We discuss Voronovskaja-type theorem and saturation of convergence for -BBH operators for arbitrary fixed . We give explicit formulas of Voronovskaja-type for the -BBH operators for . Also, we study convergence of the derivative of -BBH operators.

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Correspondence to N. I. Mahmudov.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Mahmudov, N.I., Sabancıgil, P. -Parametric Bleimann Butzer and Hahn Operators. J Inequal Appl 2008, 816367 (2008). https://doi.org/10.1155/2008/816367

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