On mu- statistical uniform convergence and Dini's theorem

GÜLFIRAT M.

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, cilt.52, sa.21, ss.7744-7751, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52 Sayı: 21
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1080/03610926.2022.2059684
  • Dergi Adı: COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Business Source Elite, Business Source Premier, CAB Abstracts, Compendex, Veterinary Science Database, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.7744-7751
  • Anahtar Kelimeler: Uniform convergence, Dini's theorem, statistical convergence, finitely additive measure
  • Ankara Üniversitesi Adresli: Evet

Özet

The present paper aims to study the uniform convergence of a sequence of functions via the mu- statistical uniform convergence where mu is a finitely additive set function defined on a field of subsets of positive integers. In particular we deal with an analog of Dini's theorem. It turns out that mu- statistical uniform convergence of a sequence of functions is characterized by that of another decreasing sequence of functions.