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


ÇANAK İ. , ONDER Z., Totur U.

RESULTS IN MATHEMATICS, cilt.70, ss.457-473, 2016 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 70
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00025-016-0582-3
  • Dergi Adı: RESULTS IN MATHEMATICS
  • Sayfa Sayıları: ss.457-473

Özet

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.