King type modification of Meyer-Konig and Zeller operators based on the q-integers


Dogru O. , ÖRKCÜ M.

MATHEMATICAL AND COMPUTER MODELLING, vol.50, pp.1245-1251, 2009 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 50
  • Publication Date: 2009
  • Doi Number: 10.1016/j.mcm.2009.07.003
  • Title of Journal : MATHEMATICAL AND COMPUTER MODELLING
  • Page Numbers: pp.1245-1251
  • Keywords: MKZ operators, The Korovkin type approximation theorem, Modulus of continuity, q-MKZ operators

Abstract

In the present paper, introducing a King type modification of the Meyer-Konig and Zeller (MKZ) operators, we prove that the error estimation of these operators is better than the classical MKZ operators. Furthermore, a King type modification of the q-MKZ is also introduced and the rate of convergence of this modification is examined. (C) 2009 Elsevier Ltd. All rights reserved.