Two valued measure and some new double sequence spaces in 2-normed spaces

Das P., Savas E., Bhunia S.

Czechoslovak Mathematical Journal, vol.61, no.3, pp.809-825, 2011 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 61 Issue: 3
  • Publication Date: 2011
  • Doi Number: 10.1007/s10587-011-0029-7
  • Journal Name: Czechoslovak Mathematical Journal
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.809-825
  • Keywords: μ-statistical convergence, 2-norm, 2-normed space, condition (APO2), convergence, convergence in μ-density, Orlicz function, paranorm, paranormed space, sequence space
  • Uşak University Affiliated: No

Abstract

The purpose of this paper is to introduce some new generalized double difference sequence spaces using summability with respect to a two valued measure and an Orlicz function in 2-normed spaces which have unique non-linear structure and to examine some of their properties. This approach has not been used in any context before. © 2011 Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic.