Statistically localized sequences in metric spaces

ADİLOĞLU A., SAVAŞ E., GÜRDAL M.

Journal of Applied Analysis and Computation, vol.9, no.2, pp.739-746, 2019 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 9 Issue: 2
  • Publication Date: 2019
  • Doi Number: 10.11948/2156-907x.20180157
  • Journal Name: Journal of Applied Analysis and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.739-746
  • Keywords: A metric space, Statistical convergence, Statistical localor of the sequence
  • Uşak University Affiliated: Yes

Abstract

In this paper we have introduced the statistically localized sequences in metric spaces and investigate basic properties of the statistically localized sequences. Also we have obtained some necessary and sufficient conditions for a localized sequence to be a statistically Cauchy sequence. It is also defined uniformly statistically localized sequences on metric spaces and its relation with statistically Cauchy sequences has been investigated.