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).

DOI

10.3906/mat-0803-16

Keywords

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

First Page

273

Last Page

281

Recommended Citation

REMPULSKA, L, & TOMCZAK, K (2009). Approximation by certain linear operators preserving x^2. Turkish Journal of Mathematics 33 (3): 273-281. https://doi.org/10.3906/mat-0803-16

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