Approximation by Generalized Integral Favard-Szasz Type Operators Involving Sheffer Polynomials

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Karateke S., ATAKUT Ç., BÜYÜKYAZICI İ.

FILOMAT, cilt.33, sa.7, ss.1921-1935, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 7
  • Basım Tarihi: 2019
  • Doi Numarası: 10.2298/fil1907921k
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1921-1935
  • Anahtar Kelimeler: Integral operators, Favard-Szasz operators, modulus of continuity, Appell polynomials, Peetre's K-functional
  • Ankara Üniversitesi Adresli: Evet

Özet

This article deals with the approximation properties of a generalization of an integral type operator in the sense of Favard-Szasz type operators including Sheffer polynomials with graphics plotted using Maple.We investigate the order of convergence, in terms of the first and the second order modulus of continuity, Peetre's K-functional and give theorems on convergence in weighted spaces of functions by means of weighted Korovkin type theorem. At the end of the work, we give some numerical examples.