(Aσ)-double sequence spaces defined by Orlicz function and double statistical convergence

Savaş E.

Computers and Mathematics with Applications, vol.55, no.6, pp.1293-1301, 2008 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 6
  • Publication Date: 2008
  • Doi Number: 10.1016/j.camwa.2007.04.041
  • Journal Name: Computers and Mathematics with Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1293-1301
  • Keywords: Almost convergence, Double statistical convergence, Invariant mean, Orlicz function
  • Uşak University Affiliated: No

Abstract

The purpose of this paper is to introduce and study an idea of strong double (Aσ)-convergence sequences with respect to an Orlicz function. In addition, we define the double (Aσ)-statistical convergence and establish some connections between the spaces of strong double (Aσ)-convergence sequences and the space of double (Aσ)-statistical convergence. © 2007 Elsevier Ltd. All rights reserved.