Rates of convergence of Meyer-König and Zeller operators based on q-integers

Altin A., Doǧru O., Özarslan M. A.

WSEAS Transactions on Mathematics, vol.4, no.4, pp.313-318, 2005 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 4 Issue: 4
  • Publication Date: 2005
  • Journal Name: WSEAS Transactions on Mathematics
  • Journal Indexes: Scopus
  • Page Numbers: pp.313-318
  • Keywords: Lipschitz type maximal functions space, Modulus of continuity, Positive linear operators, q- Laguerre polynomials, q-integers, q-Meyer König and Zeller operators
  • Ankara University Affiliated: Yes

Abstract

In the present paper, we obtain a quantitative estimate by means of Lipschitz type maximal functions for the q-Meyer König and Zeller operators defined by Doǧru and Duman in [7]. Laguerre type positive linear operators based on the q-integers, including the operators in [7], are also intoduced and Korovkin type approximation properties and rates of convergence are obtained for this generalization.