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Bleimann, Butzer, and Hahn Operators Based on the-Integers

Journal of Inequalities and Applications volume 2007, Article number: 079410 (2008) Cite this article

Abstract

We give a new generalization of Bleimann, Butzer, and Hahn operators, which includes-integers. We investigate uniform approximation of these new operators on some subspace of bounded and continuous functions. In Section, we show that the rates of convergence of the new operators in uniform norm are better than the classical ones. We also obtain a pointwise estimation in a general Lipschitz-type maximal function space. Finally, we define a generalization of these new operators and study the uniform convergence of them.

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Authors and Affiliations

  1. Department of Mathematics, Kirikkale University, Yahsihan, Kirikkale, 71450, Turkey

    Ali Aral

  2. Department of Mathematics, Faculty of Sciences and Arts, Gazi University, Teknik Okullar, Ankara, 06500, Turkey

    Ogün Doğru

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  1. Ali Aral
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  2. Ogün Doğru
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Correspondence to Ali Aral.

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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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Aral, A., Doğru, O. Bleimann, Butzer, and Hahn Operators Based on the-Integers. J Inequal Appl 2007, 079410 (2008). https://doi.org/10.1155/2007/79410

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