Some new double sequence spaces in 2-normed spaces defined by two valued measure


Savas E.

Iranian Journal of Science and Technology, Transaction A: Science, vol.36, no.3 SPL.ISS, pp.341-349, 2012 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 36 Issue: 3 SPL.ISS
  • Publication Date: 2012
  • Journal Name: Iranian Journal of Science and Technology, Transaction A: Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.341-349
  • Keywords: 2-normed space, Convergence, Convergence in μ-density, Double sequence space, Orlicz function, Paranormed space, μ-statistical convergence
  • Uşak University Affiliated: No

Abstract

In this paper, following the methods of Connor, we introduce some new generalized double difference sequence spaces using summability with respect to a two valued measure, double infinite matrix and an Orlicz function in 2- normed spaces which have unique non-linear structure and examine some of their properties.