Approximation by certain linear operators preserving x^2

Authors

LUCYNA REMPULSKA
KAROLINA TOMCZAK

DOI

10.3906/mat-0803-16

Abstract

We investigate certain positive linear operators L_n preserving the functions e_k (x)=x^k, k=0, 1, and modified operators L_n^* which preserve e_0 and e_2. We show that the error of approximation of f by L_n^* (f) is smaller than for L_n(f).

Keywords

Positive linear operator, polynomial weighted space, degree of approximation.

First Page

273

Last Page

281

Recommended Citation

REMPULSKA, LUCYNA and TOMCZAK, KAROLINA (2009) "Approximation by certain linear operators preserving x^2," Turkish Journal of Mathematics: Vol. 33: No. 3, Article 8. https://doi.org/10.3906/mat-0803-16
Available at: https://journals.tubitak.gov.tr/math/vol33/iss3/8