Absolutely convergent Fourier series and function classes.: II

被引：6

作者：

Moricz, Ferenc ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 342卷 / 02期

关键词：

absolutely convergent Fourier series; Zygmund classes Lambda(*)(alpha) and lambda(*)(alpha);

D O I：

10.1016/j.jmaa.2007.12.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the smoothness property of a function f with absolutely convergent Fourier series, and give best possible sufficient conditions in terms of its Fourier coefficients to ensure that f belongs to one of the Zygmund classes Lambda(*)(alpha) and lambda(*)(alpha) for some 0 < alpha <= 2. This paper is a natural supplement to our earlier one [F Moricz, Absolutely convergent Fourier series and function classes, J. Math. Anal. Appl. 324 (2) (2006) 1168-1177] under the same title, and we keep its notations. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：1246 / 1249

页数：4