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

2015/05/24 by Mursaleen, M., Nasiruzzaman, Md.
#40A30 #41A10 #41A25 #41A36 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.1506.02487

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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