POINTWISE CONVERGENCE AND CESARO SUMMABILITY OF DOUBLE ORTHOGONAL SERIES

被引：0

作者：

Moricz, Ferenc ^{[1
]}

Nemeth, Zoltan ^{[1
]}

机构：

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

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2017年 / 20卷 / 01期

关键词：

Double orthogonal series; pointwise convergence; Cesaro summability;

D O I：

10.7153/mia-20-12

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let (X, F, mu) be a positive measure space and {phi(j,k)(x) : j, k = 1,2,...} be a double orthonormal system of real-valued functions on X. We extend four previous results of Borgen [2] and Tandori [4, 5] from single to double orthogonal series.

引用

页码：181 / 189

页数：9

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