Generalized Zygmund classes of functions and strong approximation by Fourier series

被引：0

作者：

Moricz, Ferenc ^{[1
]}

Nemeth, Jozsef ^{[1
]}

机构：

[1] Univ Szeged, Bolyai Inst, Aradi Vertanuk Tere 1, H-6720 Szeged, Hungary

来源：

ACTA SCIENTIARUM MATHEMATICARUM | 2007年 / 73卷 / 3-4期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the relation between the generalized Zygmund classes of functions defined by Leindler [2] and the class of functions possessing a given rate of the strong approximation by their Fourier series. Furthermore, we present sufficient conditions in terms of Fourier coefficients to ensure a given rate of this strong approximation; and these conditions are also necessary in the special case when the Fourier coefficients are all nonnegative.

引用

页码：637 / 647

页数：11