English

On statistical approximation properties of on statistical approximation properties of (p,q)-bleimann-butzer-hahn operators

Classical Analysis and ODEs 2015-11-27 v1

Abstract

The aim of this paper is to introduce a generalization of the (p,q)-Bleimann-Butzer-Hahn operators based on (p,q)-integers and obtain Korovkin's type statistical approximation theorem for these operators. Also, we establish the rate of convergence of these operators using the modulus of continuity. Furthermore, we introduce (p,q)-Bleimann-Butzer-Hahn bivariate operators.

Keywords

Cite

@article{arxiv.1510.07366,
  title  = {On statistical approximation properties of on statistical approximation properties of (p,q)-bleimann-butzer-hahn operators},
  author = {M. Mursaleen and Taqseer Khan},
  journal= {arXiv preprint arXiv:1510.07366},
  year   = {2015}
}

Comments

18 pages. arXiv admin note: substantial text overlap with arXiv:1505.00392