GENERALIZED STATISTICAL RELATIVE UNIFORM ϕ –CONVERGENCE OF TRIPLE SEQUENCES OF FUNCTIONS


GÜRDAL M., KOLANCI S., Kişi Ö.

Journal of Classical Analysis, cilt.21, sa.1, ss.35-44, 2023 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.7153/jca-2023-21-04
  • Dergi Adı: Journal of Classical Analysis
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.35-44
  • Anahtar Kelimeler: Orlicz function, Triple sequence, uniform convergence, μ-statistical convergence, μ-statistical relatively uniform convergence, ϕ-convergence
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

In this paper we have introduced the notion of ϕ-convergence in μ-density and μ statistical relative uniform convergence of triple sequences of functions defined on a compact subset D of real numbers, where μ is finitely additive measure. We introduce the concept μ3-statistical relative uniform ϕ-convergence which inherits the basic properties of uniform ˜φ convergence.