RIESZ SUMMABILITY AND WEIGHTED STATISTICAL CONVERGENCE OF ORDER α FOR SEQUENCES OF SETS

Gülle E., Dündar E., ULUSU U.

Acta Mathematica Universitatis Comenianae, cilt.93, sa.1, ss.31-40, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 93 Sayı: 1
  • Basım Tarihi: 2024
  • Dergi Adı: Acta Mathematica Universitatis Comenianae
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Central & Eastern European Academic Source (CEEAS), Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.31-40
  • Anahtar Kelimeler: Hausdorff convergence, order α, Riesz summability, sequences of sets, weighted statistical convergence, Wijsman convergence
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this paper, we introduce new summability methods for sequences of sets named Riesz summability of order α and weighted statistical convergence of order α, where α ∈ (0, 1]. Also, we examine some properties of these methods and give some inclusion theorems.