Szasz type operators involving Charlier polynomials

VARMA S., Taşdelen F.

MATHEMATICAL AND COMPUTER MODELLING, sa.5-6, ss.118-122, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.mcm.2011.12.017
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.118-122
  • Anahtar Kelimeler: Charlier polynomials, Modulus of continuity, Rate of convergence, Szász operator
  • Ankara Üniversitesi Adresli: Evet

Özet

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.