Estimation of the Approximation of Continuous Periodic Functions by Fourier Sums

被引：0

作者：

Semenova, T. Yu. ^{[1
,2
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 119991, Russia

[2] Moscow Ctr Fundamental & Appl Math, Moscow 119991, Russia

来源：

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2023年 / 30卷 / 04期

关键词：

D O I：

10.1134/S1061920823040179

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An asymptotically exact estimate for the norm of the difference between a function and the partial sum of its Fourier series is obtained in terms of the modulus of continuity of the function. The values of the modulus of continuity of the argument that are less than the optimal one are considered. DOI 10.1134/S1061920823040179

引用

页码：691 / 700

页数：10

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