Strong summation process in locally integrable function spaces

Bayram N. A.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.45, no.3, pp.683-694, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 45 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.15672/hjms.20164513102
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.683-694
  • Keywords: A-summability, positive linear operators, locally integrable functions, Korovkin type theorem, modulus of continuity, rate of convergence, KOROVKIN-TYPE, CONVERGENCE
  • Ankara University Affiliated: Yes

Abstract

In this paper, using the concept of strong summation process, we give a Korovkin type approximation theorem for a sequence of positive linear operators acting from L-p,L-q (loc) into itself. We also study modulus of continuity for L-p,L-q (loc) approximation and give the rate of convergence of these operators.