Rough Statistical Convergent Functions Defined on Amenable Semigroups
Proceedings of the National Academy of Sciences India Section A - Physical Sciences, cilt.94, sa.3, ss.317-323, 2024 (SCI-Expanded)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 94 Sayı: 3
- Basım Tarihi: 2024
- Doi Numarası: 10.1007/s40010-024-00881-z
- Dergi Adı: Proceedings of the National Academy of Sciences India Section A - Physical Sciences
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
- Sayfa Sayıları: ss.317-323
- Anahtar Kelimeler: Amenable semigroups, Folner sequence, Rough convergence, Rough statistical convergence, Statistical convergence
- Sivas Cumhuriyet Üniversitesi Adresli: Evet
Özet
In the presented paper, we present the concept of rough statistical convergence and the set of rough statistical limit points (st-LIMrh) for functions defined on discrete countable amenable semigroups (DCASG) with some properties such as boundedness, closedness and convexity. Then, for functions defined on DCASG, the relationships between st-LIMrh and statistical cluster points are discussed.