Statistical approximation in the space of locally integrable functions

Duman O., Orhan C.

PUBLICATIONES MATHEMATICAE-DEBRECEN, vol.63, no.1-2, pp.133-144, 2003 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 63 Issue: 1-2
  • Publication Date: 2003
  • Journal Name: PUBLICATIONES MATHEMATICAE-DEBRECEN
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.133-144
  • Keywords: A-statistical convergence, sequence of positive linear operators, the Korovkin type theorem, LP-SPACES, KOROVKIN THEOREMS, CONVERGENCE, SUMMABILITY
  • Ankara University Affiliated: No

Abstract

In this paper, using A-statistical convergence, we prove a Korovkin type approximation theorem which deals with the problem of approximating a function f by a sequence {T-n(f;x)} of positive linear operators over the weighted space of locally integrable functions.