A Global Inverse Theorem for Combinations of Phillips Operators

被引：0
|
作者：
Gancho Tachev
机构：
[1] University of Architecture,Department of Mathematics
[2] Civil Engineering and Geodesy,undefined
来源：
Mediterranean Journal of Mathematics | 2016年 / 13卷
关键词：
Ditzian–Totik modulus of smoothness; linear combinations; inverse theorems; Phillips operators; 41A10; 41A25; 41A36;
D O I：
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学科分类号：
摘要：
In the present paper, we prove a global inverse theorem for approximation of bounded continuous functions on the interval [0, ∞) by linear combinations of Phillips operators. Our estimate is in terms of Ditzian–Totik modulus of smoothness and the combinations are in the general form of linear combinations, considered in the book of Ditzian–Totik. Our main theorem extends and generalizes the previous results, obtained by C. P. May, V. Gupta, R. P. Agrawal, etc.
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页码：2709 / 2719
页数：10
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