On statistical limit points with respect to power series methods and modulus functions
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, cilt.72, sa.2, ss.438-448, 2023 (TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 72 Sayı: 2
- Basım Tarihi: 2023
- Doi Numarası: 10.31801/cfsuasmas.1124351
- Dergi Adı: Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
- Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.438-448
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Sivas Cumhuriyet Üniversitesi Adresli: Evet
Özet
In this study, we define a new type of statistical limit point using the notions of statistical convergence with respect to the $J_p$ power series method and then we present some examples to show the relations between these points and ordinary limit points. After that we also study statistical limit points of a sequence with the help of a modulus function in the sense of the $J_p$ power series method. Namely, we define $f-J_p$-statistical limit and cluster points of the real sequences and compare the set of these limit points with the set of ordinary points.