Rough Statistical Convergent Functions Defined on Amenable Semigroups

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Atıf İçin Kopyala

Dündar E., ULUSU U.

Proceedings of the National Academy of Sciences India Section A - Physical Sciences, 2024 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• 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
• Anahtar Kelimeler: 40A30, 40A35, 40G15, 43A07, 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.