On a generalization of statistical cluster and limit points

Seyyit Seyyidog̃lu M., Özkan Tan N.

Advances in Difference Equations, vol.2015, no.1, 2015 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 2015 Issue: 1
  • Publication Date: 2015
  • Doi Number: 10.1186/s13662-015-0395-9
  • Journal Name: Advances in Difference Equations
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Lebesgue Δ-measure, statistical limit, time scale
  • Uşak University Affiliated: Yes

Abstract

This paper is concerned with the notions of statistical limit and cluster points defined by Fridy. Following the concept of a Δ-density for a subset of a time scale, we established a generalization of these notions which are called Δ-limit and Δ-cluster points for a function defined on a time scale T.