WIJSMAN LACUNARY INVARIANT STATISTICAL CONVERGENCE FOR TRIPLE SEQUENCES VIA ORLICZ FUNCTION

HUBAN M. B., GÜRDAL M.

Journal of Classical Analysis, cilt.17, sa.2, ss.119-128, 2021 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.7153/jca-2021-17-08
  • Dergi Adı: Journal of Classical Analysis
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.119-128
  • Anahtar Kelimeler: lacunary sequence, Orlicz function, Triple sequence, triple statistical convergence, Wijsman convergence
  • Isparta Uygulamalı Bilimler Üniversitesi Adresli: Evet

Özet

In this paper, we generalized the Wijsman lacunary invariant statistical convergence of closed sets in metric space by introducing the Wijsman lacunary invariant statistical ϕ-convergence for the sets of triple sequences. We introduce the concepts of Wijsman invariant ϕ-convergence, Wijsman invariant statistical ϕ-convergence, Wijsman lacunary invariant ϕ-convergence, Wijsman lacunary invariant statistical ϕ-convergence for the sets of triple sequences. In addition, we investigate existence of some relations among these new notations for the sets of triple sequences.