Some results on uniform statistical cluster points

Yurdakadim T., Miller-Van-Wieren L.

Turkish Journal of Mathematics, vol.41, no.5, pp.1133-1139, 2017 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 5
  • Publication Date: 2017
  • Doi Number: 10.3906/mat-1607-21
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1133-1139
  • Keywords: Subsequences, Uniform statistical cluster points, Uniform statistical convergence
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

In this paper, we present some results linking the uniform statistical limit superior and inferior, almost convergence and uniform statistical convergence of a sequence. We also study the relationship between the set of uniform statistical cluster points of a given sequence and its subsequences. The results concerning uniform statistical convergence and uniform statistical cluster points presented here are also closely related to earlier results regarding statistical convergence and statistical cluster points of a sequence.