New results in gradual normed linear spaces in light of generalized statistical convergence via ideal

SAVAŞ E., Kişi Ö., Choudhury C.

Filomat, cilt.38, sa.15, ss.5399-5413, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 15
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2415399s
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5399-5413
  • Anahtar Kelimeler: gradual normed linear space, Gradual number, Ir,α st (G)−limit set, I−statistical convergence, rough convergence
  • Uşak Üniversitesi Adresli: Evet

Özet

This article introduces the novel concept of rough I−statistical convergence of order α in gradual normed linear spaces (GNLS). The paper presents noteworthy findings utilizing the Ir,α st (G)− limit set, which exhibits several fundamental properties of the concept. Moreover, a necessary and sufficient condition for (G)−convergence of a sequence in a GNLS is established. Ir,α st.