Tauberian Theorems for Sequences in 2-Normed Spaces

被引：0
|
作者：
Rahmet Savaş
Sefa Anıl Sezer
机构：
[1] İstanbul Medeniyet University,Department of Mathematics
来源：
Results in Mathematics | 2017年 / 72卷
关键词：
Tauberian theorems; 2-normed spaces; slowly oscillating sequences; two-sided Tauberian conditions; 40E05; 40A05;
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摘要：
In this paper we initiate the study of Tauberian theorems for sequences in 2-normed spaces. We introduce a necessary and sufficient Tauberian condition for (C, 1) summable sequences in such spaces. Corollaries allow this condition to be replaced by 2-normed analogues of Schmidt-type slow oscillation condition or Hardy-type two-sided condition.
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页码：1919 / 1931
页数：12
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