A NOTE ON UNIFORM STATISTICAL LIMIT POINTS

Wieren L. M., YURDAKADİM T.

Mathematical Reports, cilt.24-74, sa.4, ss.777-785, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24-74 Sayı: 4
  • Basım Tarihi: 2022
  • Dergi Adı: Mathematical Reports
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.777-785
  • Anahtar Kelimeler: subsequences, Uniform statistical convergence, uniform statistical limit points
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

In this paper, we study the concept of a uniform statistical limit point of a sequence. We present some results about the set of uniform statistical limit points of a sequence and about constructing a (sub)sequence with a prescribed set of uniform statistical limit points. Also, we study the relationship between the set of uniform statistical limit points of a sequence and its subsequences. We give some analogous results concerning (non-uniform) statistical limit points of a sequence and connect to some earlier known results about the same.