Statistical approximation by positive linear operators

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Duman O., Orhan C.

STUDIA MATHEMATICA, vol.161, no.2, pp.187-197, 2004 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 161 Issue: 2
  • Publication Date: 2004
  • Doi Number: 10.4064/sm161-2-6
  • Journal Name: STUDIA MATHEMATICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.187-197
  • Keywords: A-density, A-statistical convergence, sequence of positive linear, operators, weight function, weighted space, Korovkin type theorem, CONVERGENCE, SUMMABILITY
  • Open Archive Collection: AVESIS Open Access Collection
  • Ankara University Affiliated: No

Abstract

Using A-statistical convergence, we prove a Korovkin type approximation theorem which concerns the problem of approximating a function f by means of a sequence {T-n(f; x)} of positive linear operators acting from a weighted space C-rho1 into a weighted space B-rho2.