Double sequences and Orlicz functions
Periodica Mathematica Hungarica, vol.67, no.1, pp.47-54, 2013 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 67 Issue: 1
- Publication Date: 2013
- Doi Number: 10.1007/s10998-013-6362-x
- Journal Name: Periodica Mathematica Hungarica
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.47-54
- Keywords: double sequences, Orlicz functions, statistical convergence, strong A-summability
- Bilecik Şeyh Edebali University Affiliated: No
Abstract
In this paper we define strong A-convergence with respect to an Orlicz function for double sequences. We show, on bounded double sequences, that statistical convergence and strong A-convergence with respect to any Orlicz function are equivalent. This eliminates a condition of Demirci for bounded single (ordinary) sequences. © 2013 Akadémiai Kiadó, Budapest, Hungary.