Some Tauberian theorems for statistical (C, 1) summability

被引：0
作者：
Belen, Cemal [1 ]
机构：
[1] Ordu Univ, Fac Educ, TR-52200 Ordu, Turkey
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 240卷
关键词：
Tauberian theorem; Statistical convergence; Cesaro summability; DOUBLE SEQUENCES; WEIGHTED MEANS; CONVERGENCE FOLLOWS; CESARO SUMMABILITY;
D O I：
10.1016/j.amc.2014.04.104
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Schoenberg (1959) [23] proved that if a sequence (x(k)) is bounded and statistically convergent to L then it is statistically summable (C, 1) to L. However the converse is not true. In this paper we prove necessary and sufficient Tauberian conditions based on generator sequences under which statistical convergence follows from statistical summability (C, 1). (C) 2014 Elsevier Inc. All rights reserved.
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页码：252 / 258
页数：7
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