Random Fourier series and absolute summability

被引：0

作者：

Towghi, N ^{[1
]}

机构：

[1] Univ Arizona, Dept Math, Tucson, AZ 85721 USA

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 1998年 / 28卷 / 02期

关键词：

absolute summability; modulus of continuity; p-variation; Rademacher functions; subnormal random variables; Cesaro summability of order alpha; absolute Norlund summability;

D O I：

10.1216/rmjm/1181071798

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article it is shown that many classical results concerning absolute summability of Fourier series can be obtained by random methods. An estimate on the modulus of continuity of random Fourier series is obtained. This estimate is then applied to obtain some new sufficient conditions for the absolute summability of the Fourier series.

引用

页码：749 / 765

页数：17

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