On λ-statistically φ-convergence

Choudhury C., Debnath S., SAVAŞ E.

Journal of Applied Analysis, cilt.30, sa.1, ss.75-83, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1515/jaa-2023-0032
  • Dergi Adı: Journal of Applied Analysis
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, ABI/INFORM, zbMATH
  • Sayfa Sayıları: ss.75-83
  • Anahtar Kelimeler: Orlicz function
  • Uşak Üniversitesi Adresli: Evet

Özet

In this paper, by using the notions of λ-density, (V, λ)-summability and Orlicz function φ, we introduce a new concept of convergence, namely λ-statistically φ-convergence, as a generalization of the λ-statistical convergence and statistically φ-convergence. Based on this concept, we introduce a new sequence space S λ - φ and investigate some of its properties. Also, we find its relations with statistically φ-convergence, [ C, 1 ]φ-summability and [ V, λ ] φ φ-summability. Finally, we introduce and investigate the concept of S λ - φ Cauchy sequences.