- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 72 Issue: 2
- On statistical limit points with respect to power series methods and modulus functions
On statistical limit points with respect to power series methods and modulus functions
Authors : Canan Sümbül, Cemal Belen, Mustafa Yildirim
Pages : 438-448
Doi:10.31801/cfsuasmas.1124351
View : 23 | Download : 40
Publication Date : 2023-06-23
Article Type : Research Article
Abstract :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.Keywords : $J_p$-statistical limit points, $J_p$-statistical cluster points, $f-J_p$-statistical limit points