On generalized sequence spaces via modulus function


Savaş E.

Journal of Inequalities and Applications, vol.2014, no.1, 2014 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 2014 Issue: 1
  • Publication Date: 2014
  • Doi Number: 10.1186/1029-242x-2014-101
  • Journal Name: Journal of Inequalities and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Almost convergence, Lacunary sequenceσ-function, Modulus function, Statistical convergence
  • Uşak University Affiliated: No

Abstract

In this paper, we introduce and study the concept of lacunary strongly (A,σ)-convergence with respect to a modulus function and lacunary (A,σ)-statistical convergence and examine some properties of these sequence spaces. We establish some connections between lacunary strongly (A,σ)-convergence and lacunary (A,σ)-statistical convergence. © 2014 Savaş; licensee Springer.