Statistical Extensions of Some Classical Tauberian Theorems for Cesaro Summability of Triple Sequences

被引：5

作者：

Canak, Ibrahim ^{[1
]}

Onder, Zerrin ^{[1
]}

Totur, Umit ^{[2
]}

机构：

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

[2] Adnan Menderes Univ, Dept Math, Aydin, Turkey

来源：

RESULTS IN MATHEMATICS | 2016年 / 70卷 / 3-4期

关键词：

Triple sequences; Tauberian theorems; two-sided Tauberian conditions; (C; 1; 1) summability of triple sequences; slowly oscillating sequences; statistically slowly oscillating sequences; statistical convergence; convergence in Pringsheim's sense;

D O I：

10.1007/s00025-016-0582-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In (Canak and Totur, Georgian Math J 23(1): 33-42, 2016), Canak and Totur have extended some classical Tauberian theorems for single sequences to triple sequences. In (Fridy and Khan, Proc Am Math Soc 128: 2347-2355, 2000), Fridy and Khan obtained statistical extensions of some classical Tauberian theorems. The concept of statistical convergence for triple sequences has been introduced by Sahiner et al. (Selcuk J Appl Math 8(2): 49-55, 2007). In this paper, we investigate Tauberian conditions for the statistical convergence and statistical (C,1,1,1) summability of triple sequences.

引用

页码：457 / 473

页数：17

共 17 条

[1]

Alvarez J., 1998, ANAL DIVERGENCE CONT

[2]

[Anonymous], 1897, MONATSH MATH

[3] Some classical Tauberian theorems for (C, 1, 1, 1) summable triple sequences [J].