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


Demirci I. A., Kişi Ö., GÜRDAL M.

Journal of Mathematical Analysis, cilt.14, sa.2, ss.1-11, 2023 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.54379/jma-2023-2-1
  • Dergi Adı: Journal of Mathematical Analysis
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1-11
  • Anahtar Kelimeler: rough convergence, Statistical convergence, statistically φ-convergence, φ-convergence
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

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.