|
JIPAM
| Approximation of $B$-Continuous and $B$-Differentiable Functions by GBS Operators Defined by Infinite Sum |
|
|
|
|
| |
| |
Authors: |
Ovidiu T. Pop, |
|
| |
Keywords:
|
Linear positive operators, GBS operators, $B$-continuous and $B$- differentiable functions, approximation of $B$-continuous and $B$-differentiable functions by GBS operators |
|
| |
Date Received:
|
27/06/08 |
|
| |
Date Accepted:
|
18/03/09 |
|
| |
Subject Codes: |
41A10, 41A25, 41A35, 41A36, 41A63
|
|
| |
Editors: |
Sever S. Dragomir, |
|
| |
|
|
|
|
| |
Abstract: |
In this paper we start from a class of linear and positive operators defined by infinite sum. We consider the associated GBS operators and we give an approximation of B-continuous and B-differentiable functions with these operators. Through particular cases, we obtain statements verified by the GBS operators of Mirakjan-Favard-Szász, Baskakov and Meyer-König and Zeller.;
|
This article was printed from JIPAM
http://jipam.vu.edu.au
The URL for this article is:
http://jipam.vu.edu.au/article.php?sid=1063
|