L-p-approximation via Abel convergence

Ozguc I.

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, vol.22, no.2, pp.271-279, 2015 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 22 Issue: 2
  • Publication Date: 2015
  • Journal Name: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.271-279
  • Keywords: Abel convergence, sequence of positive linear operators, Korovkin type theorem, modulus of smoothness, rate of Abel convergence, POSITIVE LINEAR-OPERATORS, THEOREMS, SPACES
  • Ankara University Affiliated: No

Abstract

In the present paper, using the concept of the Abel convergence method, we give a Korovkin type approximation theorem for a sequence of positive linear operators acting from L-p [a, b] into itself. We also study some quantitative estimates for L-p approximation via Abel convergence.