On rough convergence in amenable semigroups and some properties

DÜNDAR E., ULUSU U.

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, cilt.41, sa.1, ss.2319-2324, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3233/jifs-211167
  • Dergi Adı: JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Business Source Elite, Business Source Premier, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.2319-2324
  • Anahtar Kelimeler: Rough convergence, rough limit point, rough cluster point, Folner sequence, amenable semigroups, SUMMABILITY
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

The authors of the present paper, firstly, investigated relations between the notions of rough convergence and classical convergence, and studied on some properties of the rough convergence notion which the set of rough limit points and rough cluster points of a sequence of functions defined on amenable semigroups. Then, they examined the dependence of r-limit LIMr f of a fixed function f is an element of G on varying parameter r.