Approximation of Integrable Functions by General Linear Operators of Their Fourier Series

被引：0

作者：

Wodzimierz LENSKI ^{[1
]}

Bogdan SZAL ^{[1
]}

机构：

[1] Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Gra

来源：

Acta Mathematica Sinica,English Series | 2012年 / 06期

关键词：

Rate of approximation; summability of Fourier series;

D O I：

暂无

中图分类号：

O177 [泛函分析]; O174.21 [正交级数（傅里叶级数）];

学科分类号：

070104 ;

摘要：

The pointwise estimates of the deviation T n,A,B f (·) f (·) in terms of moduli of continuity .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：16

共 38 条

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