Rough convergent functions defined on amenable semigroups

Dündar E., ULUSU U., Nuray F.

SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES, vol.41, no.5, pp.1042-1046, 2023 (ESCI, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 5
  • Publication Date: 2023
  • Doi Number: 10.14744/sigma.2023.00121
  • Journal Name: SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Directory of Open Access Journals
  • Page Numbers: pp.1042-1046
  • Keywords: Amenable Semigroups, Folner Sequence, Rough Cauchy Sequence, Rough Convergence
  • Sivas Cumhuriyet University Affiliated: Yes

Abstract

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.