Inclusion results on statistical cluster points

Miller H., Wieren L. M., Taş E., YURDAKADİM T.

Analysis Mathematica, vol.42, no.2, pp.165-172, 2016 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 2
  • Publication Date: 2016
  • Doi Number: 10.1007/s10476-016-0205-y
  • Journal Name: Analysis Mathematica
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.165-172
  • Keywords: A-density, A-statical core of a sequence, A-statistical cluster point
  • Bilecik Şeyh Edebali University Affiliated: Yes

Abstract

We study the concepts of statistical cluster points and statistical core of a sequence for Aλ methods defined by deleting some rows from a nonnegative regular matrix A. We also relate Aλ-statistical convergence to Aμ-statistical convergence. Finally we give a consistency theorem for A-statistical convergence and deduce a core equality result.