A NOTE ON UNIFORM STATISTICAL LIMIT POINTS

Wieren L. M., YURDAKADİM T.

Mathematical Reports, vol.24-74, no.4, pp.777-785, 2022 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 24-74 Issue: 4
  • Publication Date: 2022
  • Journal Name: Mathematical Reports
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.777-785
  • Keywords: subsequences, Uniform statistical convergence, uniform statistical limit points
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

In this paper, we study the concept of a uniform statistical limit point of a sequence. We present some results about the set of uniform statistical limit points of a sequence and about constructing a (sub)sequence with a prescribed set of uniform statistical limit points. Also, we study the relationship between the set of uniform statistical limit points of a sequence and its subsequences. We give some analogous results concerning (non-uniform) statistical limit points of a sequence and connect to some earlier known results about the same.