Approximation of functions by linear means of their Fourier series

被引：0

作者：

Nosenko, YL ^{[1
]}

机构：

[1] Donetsk State Tech Univ, Dept Math, UA-340000 Donetsk, Ukraine

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1997年 / 30卷 / 04期

关键词：

smoothness modulus; arithmetical means; multiplicators; deviation;

D O I：

10.1016/S0362-546X(97)00225-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The special representations of a deviation for integrable functions and linear means of Fourier series of these functions are obtained. The appropriate remainders are estimated from both above and below by modulus of smoothness of given functions.

引用

页码：2539 / 2540

页数：2

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