Journals / Turkish Journal of Mathematics / 2012 / Cilt: 36 - Sayı: 1

On the order of weighted approximation by positive linear operators

Pages
113–120
DOI
—

Abstract

An estimation of approximation of continuous functions by positive linear operators in weighted norm using the weighted modulus of continuity is established. Application of the main result to the known Gadjiyev-Ibragimov operators is given.

Özet

An estimation of approximation of continuous functions by positive linear operators in weighted norm using the weighted modulus of continuity is established. Application of the main result to the known Gadjiyev-Ibragimov operators is given.

Keywords: Positive linear operators, weighted spaces, weighted modulus of continuity, Korovkin type theorems, Gadjiev-Ibragimov operators