Statistical Extensions of Some Classical Tauberian Theorems for Cesàro Summability of Triple Sequences
Articles > Article · 2016
Authors: İbrahim ÇANAK, Zerrin ONDER, Umit Totur
Results in Mathematics, Journal Indexed in SCI Expanded, International, WoS, 2016, vol 70, pp 457-473
DOI: 10.1007/s00025-016-0582-3
Summary
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.