On Korovkin type theorem in the space of locally integrable functions

Gadjiev A., Efendiyev R., Ibikli E.

CZECHOSLOVAK MATHEMATICAL JOURNAL, vol.53, no.1, pp.45-53, 2003 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 53 Issue: 1
  • Publication Date: 2003
  • Doi Number: 10.1023/a:1022967223553
  • Journal Name: CZECHOSLOVAK MATHEMATICAL JOURNAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.45-53
  • Keywords: linear positive operators, Korovkin type theorem, weighted Lp(loc) spaces, POSITIVE LINEAR-OPERATORS, APPROXIMATION
  • Ankara University Affiliated: No

Abstract

It is shown that a Korovkin type theorem for a sequence of linear positive operators acting in weighted space L-p,L-w(loc) does not hold in all this space and is satisfied only on some-subspace.