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arXiv · 1506.02487

Some approximation properties of bivariate Bleimann-Butzer and Hahn operators based on (p,q)-integers

M. Mursaleen·Md. Nasiruzzaman
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Abstract

Recently, Mursaleen et al applied (p,q)-calculus in approximation theory and introduced (p,q)-analogue of Bernstein operators in [16]. In this paper, we construct and introduce a generalization of the bivariate Bleimann-Butzer-Hahn operators based on (p,q)-integers and obtain Korovkin type approximation theorem of these operators. Furthermore, we compute the rate of convergence of the operators by using the modulus of continuity and Lipschitz type maximalfunctions.

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M. Mursaleen, Md. Nasiruzzaman. 2015-05-24. Some approximation properties of bivariate Bleimann-Butzer and Hahn operators based on (p,q)-integers. https://arxiv.org/abs/1506.02487

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