English

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

Classical Analysis and ODEs 2015-06-09 v1

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.

Keywords

Cite

@article{arxiv.1506.02487,
  title  = {Some approximation properties of bivariate Bleimann-Butzer and Hahn operators based on (p,q)-integers},
  author = {M. Mursaleen and Md. Nasiruzzaman},
  journal= {arXiv preprint arXiv:1506.02487},
  year   = {2015}
}

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13 pages