Generalization of Szasz operators involving Brenke type polynomials

Varma S., Sucu S., İÇÖZ G.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.64, sa.2, ss.121-127, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 64 Sayı: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.camwa.2012.01.025
  • Dergi Adı: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.121-127
  • Anahtar Kelimeler: Szasz operator, Modulus of continuity, Rate of convergence, Brenke type polynomials, Gould-Hopper polynomials
  • Gazi Üniversitesi Adresli: Evet

Özet

The purpose of this paper is to give a generalization of Szasz operators defined by means of the Brenke type polynomials. We obtain convergence properties of our operators with the help of Korovkin's theorem and the order of convergence by using a classical approach, the second modulus of continuity and Peetre's K-functional. An explicit example with our operators including Gould-Hopper polynomials which generalize Szasz operators in a natural way is given. (C) 2012 Elsevier Ltd. All rights reserved.