Rough convergent functions defined on amenable semigroups

Dündar E., ULUSU U., Nuray F.

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES, cilt.41, sa.5, ss.1042-1046, 2023 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 41 Sayı: 5
  • Basım Tarihi: 2023
  • Doi Numarası: 10.14744/sigma.2023.00121
  • Dergi Adı: SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Directory of Open Access Journals
  • Sayfa Sayıları: ss.1042-1046
  • Anahtar Kelimeler: Amenable Semigroups, Folner Sequence, Rough Cauchy Sequence, Rough Convergence
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

The authors in this study, firstly, identified the rough convergence and presented the set of rough limit points of a function defined on discrete countable amenable semigroups (DCASG) with some characteristics such as convexity, closedness and boundedness. Then, they introduced rough Cauchy sequence and also, examined the relations between rough Cauchy sequences and rough convergence of functions defined on discrete countable amenable semigroups.