STATISTICALLY LOCALIZED SEQUENCES IN METRIC SPACES

Nabiev A., Savas E., GÜRDAL M.

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, vol.9, no.2, pp.739-746, 2019 (SCI-Expanded) identifier 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: Statistical convergence, a metric space, statistical localor of the sequence, CONVERGENCE
  • Süleyman Demirel 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.