English

Approximation by Kantorovich type (p,q)-Bernstein-Schurer Operators

Classical Analysis and ODEs 2015-06-09 v1

Abstract

In this paper, we introduce a Shurer type genaralization of (p,q)-Bernstein-Kantorovich operators based on (p,q)-integers and we call it as (p,q)-Bernstein-Schurer Kantorovich operators. We study approximation properties for these operators based on Korovkin's type approximation theorem and also study some direct theorems. Furthermore, we give comparisons and some illustrative graphics for the convergence of operators to some function.

Keywords

Cite

@article{arxiv.1506.02492,
  title  = {Approximation by Kantorovich type (p,q)-Bernstein-Schurer Operators},
  author = {M. Mursaleen and Faisal Khan},
  journal= {arXiv preprint arXiv:1506.02492},
  year   = {2015}
}

Comments

13 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:1504.05887. text overlap with arXiv:1504.05887

R2 v1 2026-06-22T09:49:14.464Z