(Aσ)Δ -double sequence spaces via Orlicz functions and double statistical convergence


Savas E., Patterson R.

Iranian Journal of Science and Technology, Transaction A: Science, vol.31, no.4, pp.358-367, 2007 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 31 Issue: 4
  • Publication Date: 2007
  • Journal Name: Iranian Journal of Science and Technology, Transaction A: Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.358-367
  • Keywords: Almost convergence, Double statistical convergence, Invariant means, Orlicz function
  • Uşak University Affiliated: No

Abstract

The aim of this paper is to introduce and study a new concept of strong double (Aσ)Δ -convergence sequences with respect to an Orlicz function, and some properties of the resulting sequence spaces were also examined. In addition, we define the (Aσ) Δ-statistical convergence and establish some connections between the spaces of strong double(Aσ)Δ- convergence sequences and the space of double (Aσ)Δ -statistical convergence. © Shiraz University.