Approximation of integrable functions by general linear operators of their fourier series

被引：0

作者：

Włodzimierz Łenski

Bogdan Szal

机构：

[1] University of Zielona Góra,Faculty of Mathematics, Computer Science and Econometrics

来源：

Acta Mathematica Sinica, English Series | 2012年 / 28卷

关键词：

Rate of approximation; summability of Fourier series; 42A24;

D O I：

暂无

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学科分类号：

摘要：

The pointwise estimates of the deviation Tn,A,Bf(·)−f(·) in terms of moduli of continuity −w·f and w·f there are proved. Analogical results on norm approximation with remarks and corollaries are also given. In the results there are used the essentially weaker conditions than these in [Mittal, M. L.: J. Math. Anal. Appl., 220, 434–450 (1998) Theorem 1, p. 437].

引用

页码：1119 / 1134

页数：15