On the Voronovskaja-type formula for the Bleimann, Butzer and Hahn bivariate operators
نویسنده
چکیده
In this paper we present two new alternative ways for the proof of Voronovskaja-type formula of the Bleimann, Butzer and Hahn bivariate operators, using the close connection between the recalled operators and Bernstein bivariate operators, respectively Stancu bivariate operators.
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Bleimann, Butzer, and Hahn Operators Based on the q-Integers
We give a new generalization of Bleimann, Butzer, and Hahn operators, which includes qintegers.We investigate uniform approximation of these new operators on some subspace of bounded and continuous functions. In Section 3, 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-ty...
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*Correspondence: [email protected] 1Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, India 2Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia Full list of author information is available at the end of the article Abstract The aim of this paper is to intro...
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