具有分段有界变差系数的三角级数

被引：5

作者：

周颂平 ^{[1
]}

虞旦盛 ^{[2
]}

周平 ^{[2
]}

机构：

[1] 浙江理工大学数学研究所

[2] Department of Mathematics,Statistics and Computer Science,StFrancis Xavier

来源：

基金：

加拿大自然科学与工程研究理事会;

关键词：

三角级数; 分段有界变差数列; 点态收敛与一致收敛; 可积性;

D O I：

暂无

中图分类号：

O173 [无穷级数论（级数论）];

学科分类号：

摘要：

通过引入所称谓的分段有界变差数列(PBVS),将关于具有非负系数的三角级数的收敛性和可积性的经典结果推广到具有可变系数(允许变号)的三角级数.

引用

页码：633 / 646

页数：14

共 7 条

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[7] Convergence of Trigonometric Series in the Metric of L with Coefficients that Seldom Change. Telyakovskii,S. A. Proc. Steklov. Inst. Math . 1993