SOME RESULTS ON ROUGH STATISTICAL φ-CONVERGENCE FOR DIFFERENCE DOUBLE SEQUENCES

Demirci I. A., Kişi Ö., GÜRDAL M.

Journal of Mathematical Analysis, vol.14, no.2, pp.1-11, 2023 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 2
  • Publication Date: 2023
  • Doi Number: 10.54379/jma-2023-2-1
  • Journal Name: Journal of Mathematical Analysis
  • Journal Indexes: Scopus
  • Page Numbers: pp.1-11
  • Keywords: rough convergence, Statistical convergence, statistically φ-convergence, φ-convergence
  • Süleyman Demirel University Affiliated: Yes

Abstract

In this paper, we put forward rough statistical φ-convergence of difference sequences as a generalization of rough statistical convergence as well as statistical φ-convergence. We study some of its fundamental properties. We obtain some results for rough statistical φ-convergence for difference double sequences by introducing the rough statistical-φ limit set. So our main objective is to find out the different behaviour of the new convergence concept based on rough statistical-φ limit set.