Approximation by Modified Integral Type Jakimovski-Leviatan Operators

ATAKUT Ç., BÜYÜKYAZICI İ.

FILOMAT, cilt.30, sa.1, ss.29-39, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 1
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1601029a
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.29-39
  • Anahtar Kelimeler: Jakimovski-Leviatan operators, Favard-Szasz operators, Appell polynomials, modulus of continuity, weighted space
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we give a generalization of the integral type Jakimovski-Leviatan operators, introduced by Ciupa [1]. Theorems on convergence and the rate of convergence of the operators by using the first and second order modulus of continuity are established. We also study the convergence of these operators in a weighted space of functions.