Generalization of Jakimovski-Leviatan type Szasz operators

SUCU S., VARMA S.

APPLIED MATHEMATICS AND COMPUTATION, cilt.270, ss.977-983, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 270
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.amc.2015.08.077
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.977-983
  • Anahtar Kelimeler: Szasz operator, Modulus of continuity, Rate of convergence, Sheffer polynomials, Meixner polynomials
  • Ankara Üniversitesi Adresli: Evet

Özet

The purpose of this paper is to give a Stancu type generalization of Jakimovski-Leviatan type Szasz operators defined by means of the Sheffer polynomials. We obtain convergence prop erties of our operators with the help of Korovkin theorem and the order of approximation by using classical and second modulus of continuity. Explicit examples with our operators including Meixner polynomials and the 2-orthogonal polynomials of Laguerre type are given. We present two significant numerical mathematical algorithms as examples for the error estimation. (C) 2015 Elsevier Inc. All rights reserved.