APPROXIMATION PROPERTIES OF A CLASS OF LINEAR POSITIVE OPERATORS IN WEIGHTED SPACES

ERENÇİN A., BAŞCANBAZ TUNCA G.

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, vol.63, no.10, pp.1397-1404, 2010 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 63 Issue: 10
  • Publication Date: 2010
  • Journal Name: COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1397-1404
  • Keywords: linear positive operators, generalized Baskakov operators, weighted spaces, modulus of continuity, Lipschitz class, recurrence relation, GENERALIZED BASKAKOV OPERATORS, THEOREMS
  • Ankara University Affiliated: Yes

Abstract

In this paper, we introduce a generalization of a class of linear positive operators constructed in [(7)]. Approximation properties of these operators are given in weighted spaces of continuous functions on positive semi-axis. Also an estimate is obtained by using classical modulus of continuity. We compute the order of convergence of these operators with the help of the elements of Lipschitz class and present an application to functional differential equations.