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].
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页码：1119 / 1134
页数：16
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