Note on estimates for the growth order of sequences of multiple rectangular Fourier sums

被引：0

作者：

Antonov, N. Y. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Inst Math & Mech, Moscow, Russia

[2] Russian Acad Sci, Ural Branch, Moscow, Russia

来源：

TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN | 2011年 / 17卷 / 03期

关键词：

multiple trigonometric Fourier series; growth order estimates;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let {S-nk (f, x)}(k=1)(infinity) be some sequence of rectangular partial sums of the multiple trigonometric Fourier series of a function f, and let {lambda(k)}(k=1) (infinity) be a nondecreasing sequence of positive numbers. We investigate conditions on the belonging of the function f to the classes phi(L) under which estimates of the following form are possible: S-nk (f, x) = o (lambda(k)) a.e. where the right-hand side depends on k only.

引用

页码：55 / 59

页数：5