An extension of asymptotically lacunary statistical equivalence set sequences

Ulusu U., Savas 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-2014-134
  • Journal Name: Journal of Inequalities and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Asymptotically equivalence, Cesàro summability, Lacunary sequence, Sequences of sets, Statistical convergence, Wijsman convergence
  • Uşak University Affiliated: No

Abstract

This paper presents, for sequences of sets, the notions of asymptotically lacunary statistical equivalence (in the sense of Wijsman) of multiplicity L, strongly asymptotically lacunary p-equivalence (in the sense of Wijsman) of multiplicity L and strongly Cesàro asymptotically p-equivalence (in the sense of Wijsman) of multiplicity L. In addition to these definitions, inclusion theorems are also presented. © 2014 Ulusu and Savas; licensee Springer.