Statistical approximation properties of King-type modification of Lupaş operators

DOĞRU O., Kanat K.

Computers and Mathematics with Applications, vol.64, no.4, pp.511-517, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 64 Issue: 4
  • Publication Date: 2012
  • Doi Number: 10.1016/j.camwa.2011.12.033
  • Journal Name: Computers and Mathematics with Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.511-517
  • Keywords: Bernstein operators, Modulus of continuity, q-Bernstein operators, The King type approximation theorem
  • Ankara Haci Bayram Veli University Affiliated: No

Abstract

In the present paper, introducing a King type modification of the Lupaş operators, the rates of statistical convergence of this modification are studied by means of the modulus of continuity and Lipschitz class functional. We also prove that, on some subintervals of [0,1], the error estimation of these operators is better than the classical q-Bernstein operators. © 2011 Elsevier Ltd. All rights reserved.