Approximation by Modified Integral Type Jakimovski-Leviatan Operators

ATAKUT Ç., BÜYÜKYAZICI İ.

FILOMAT, vol.30, no.1, pp.29-39, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 1
  • Publication Date: 2016
  • Doi Number: 10.2298/fil1601029a
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.29-39
  • Keywords: Jakimovski-Leviatan operators, Favard-Szasz operators, Appell polynomials, modulus of continuity, weighted space
  • Ankara University Affiliated: Yes

Abstract

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.