English

Approximation by Meyer-Konig and Zeller Operators using (p, q)-CALCULUS

Classical Analysis and ODEs 2016-03-31 v2

Abstract

In this paper, we introduce a generalization of the qq-Meyer-Konig and Zeller operators by means of the (p,q)(p,q)-integers as well as of the (p,q)(p,q)-Gaussian binomial coefficients. For 0<q<p<=1, 0< q < p <= 1, the sequence of the (p,q)(p,q)-Meyer-Konig and Zeller operators denoted by Mn,p,qM_n,p,q and some results based on statistical convergence and direct theorems is obtained. Furthermore, we show comparisons and some illustrative graphics for the convergence of operators to a function.

Keywords

Cite

@article{arxiv.1603.08539,
  title  = {Approximation by Meyer-Konig and Zeller Operators using (p, q)-CALCULUS},
  author = {U. Kadak and Asif Khan and M. Mursaleen},
  journal= {arXiv preprint arXiv:1603.08539},
  year   = {2016}
}

Comments

11 pages, 5 figures, title changed, new results added

R2 v1 2026-06-22T13:19:58.597Z