Approximation of functions of two variables by certain linear positive operators
Classical Analysis and ODEs
2007-09-24 v1
Abstract
We introduce certain linear positive operators and study some approximation properties of these operators in the space of functions, continuous on a compact set, of two variables. We also find the order of this approximation by using modulus of continuity. Moreover we define an th order generalization of these operators and observe its approximation properties. Furthermore, we study the convergence of the linear positive operators in a weighted space of functions of two variables and find the rate of this convergence using weighted modulus of continuity.
Cite
@article{arxiv.0709.3345,
title = {Approximation of functions of two variables by certain linear positive operators},
author = {Fatma Tasdelen and Ali Olgun and Gulen Bascanbaz-Tunca},
journal= {arXiv preprint arXiv:0709.3345},
year = {2007}
}
Comments
13 pages