On approximating periodic functions by singular integrals with positive kernels

被引：0

作者：

Dodonov N.Yu. ^{[1
]}

Zhuk V.V. ^{[1
]}

机构：

[1] St.Petersburg State University, St.Petersburg

来源：

Journal of Mathematical Sciences | 2007年 / 143卷 / 3期

基金：

俄罗斯基础研究基金会;

关键词：

Periodic Function; Continuity Module; Singular Integral; Approximation Characteristic; Positive Kernel;

D O I：

10.1007/s10958-007-0190-6

中图分类号：

学科分类号：

摘要：

In the two-dimensional case, new approximation characteristics for functions belonging to saturation classes of continuity modules for the spaces Lp of periodic functions are obtained. The problem of approximating a function by an analog of Fejér's integral in the space of periodic functions square integrable on the period is considered. Bibliography: 5 titles. © Springer Science+Business Media, Inc. 2007.

引用

页码：3039 / 3052

页数：13