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Volume 10, Issue 1, Article 7 |
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Approximation of $B$-Continuous and $B$-Differentiable Functions by GBS Operators Defined by Infinite Sum
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Authors: |
Ovidiu T. Pop, |
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Keywords:
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Linear positive operators, GBS operators, $B$-continuous and $B$- differentiable functions, approximation of $B$-continuous and $B$-differentiable functions by GBS operators |
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Date Received:
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27/06/08 |
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Date Accepted:
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18/03/09 |
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Subject Codes: |
41A10, 41A25, 41A35, 41A36, 41A63
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Editors: |
Sever S. Dragomir, |
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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.
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