On statistical limit points with respect to power series methods and modulus functions

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume: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 : 32 | Download : 43

Publication Date : 2023-06-23

Article Type : Research Paper

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

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