Tauberian Theorems for the Product of Weighted and Cesaro Summability Methods for Double Sequences

被引：0

作者：

Findik, Goksen ^{[1
]}

Canak, Ibrahim ^{[1
]}

机构：

[1] Ege Univ, Dept Math, Bornova, Turkey

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2020年 / 38卷 / 07期

关键词：

Tauberian theorems; Double sequences; Cesaro means; Weighted means; Convergence in Pringsheim's sense; Weighted-Cesaro summability;

D O I：

10.5269/bspm.v38i7.44135

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain necessary and sufficient conditions, under which convergence of a double sequence in Pringsheim's sense follows from its weighted-Cesaro summability. These Tauberian conditions are one-sided or two-sided if it is a sequence of real or complex numbers, respectively.

引用

页码：9 / 19

页数：11

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