Szasz type operators involving Charlier polynomials

VARMA S., Taşdelen F.

MATHEMATICAL AND COMPUTER MODELLING, no.5-6, pp.118-122, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2012
  • Doi Number: 10.1016/j.mcm.2011.12.017
  • Journal Name: MATHEMATICAL AND COMPUTER MODELLING
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.118-122
  • Keywords: Charlier polynomials, Modulus of continuity, Rate of convergence, Szász operator
  • Ankara University Affiliated: Yes

Abstract

The purpose of this work is to give a form of positive linear operators involving Charlier polynomials, one of the discrete orthogonal polynomials which are generalization of Szasz operators. Also, Kantorovich type generalization of these operators are given. We obtain convergence properties of our operators with the help of Korovkin's theorem and the order of approximation by using classical modulus of continuity. (C) 2011 Elsevier Ltd. All rights reserved.