Dergiler / Turkish Journal of Mathematics / 2009 / Cilt: 33 - Sayı: 3

Approximation by certain linear operators preserving x2

Sayfa
273–281
DOI
—

Özet

We investigate certain positive linear operators Ln preserving the functions ek (x)=xk, k=0, 1, and modified operators Ln* which preserve e0 and e2. We show that the error of approximation of f by Ln* (f) is smaller than for Ln(f).

Abstract

We investigate certain positive linear operators Ln preserving the functions ek (x)=xk, k=0, 1, and modified operators Ln* which preserve e0 and e2. We show that the error of approximation of f by Ln* (f) is smaller than for Ln(f).

Anahtar kelimeler: Positive linear operator, polynomial weighted space, degree of approximation.