ON THE CONVERGENCE OF CESARO MEANS OF NEGATIVE ORDER OF VILENKIN-FOURIER SERIES

被引：9

作者：

Shavardenidze, Gvantsa ^{[1
,2
]}

机构：

[1] I Javakhishvili Tbilisi State Univ, Vekua Inst Appl Math, 2 Univ Str, Tbilisi 0186, Georgia

[2] I Javakhishvili Tbilisi State Univ, Fac Exact & Nat Sci, 2 Univ Str, Tbilisi 0186, Georgia

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2019年 / 56卷 / 01期

基金：

美国国家科学基金会;

关键词：

bounded Vilenkin group; generalized bounded variation; Cesaro means; uniform convergence; UNIFORM-CONVERGENCE; NORM CONVERGENCE; APPROXIMATION;

D O I：

10.1556/012.2019.56.1.1422

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In 1971 Onnewer and Waterman establish a sufficient condition which guarantees uniform convergence of Vilenkin-Fourier series of continuous function. In this paper we consider different classes of functions of generalized bounded oscillation and in the terms of these classes there are established sufficient conditions for uniform convergence of Cesaro means of negative order.

引用

页码：22 / 44

页数：23

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