Approximation properties of Bezier-summation-integral type operators based on Polya-Bernstein functions

Agrawal P. N., İSPİR N., Kajla A.

APPLIED MATHEMATICS AND COMPUTATION, vol.259, pp.533-539, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 259
  • Publication Date: 2015
  • Doi Number: 10.1016/j.amc.2015.03.014
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.533-539
  • Keywords: Bezier operators, Summation integral type operators, Polya distribution, Rate of convergence, Bounded variation, CONVERGENCE, DERIVATIVES, POLYNOMIALS
  • Gazi University Affiliated: Yes

Abstract

In this article we introduce the Bezier variant of summation integral type operators having Polya and Bernstein basis functions. We give a direct approximation theorem by means of the first order modulus of smoothness and the rate of convergence for absolutely continuous functions having a derivative equivalent to a function of bounded variation. (C) 2015 Elsevier Inc. All rights reserved.