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

Year 2023, Volume: 72 Issue: 2, 438 - 448, 23.06.2023

Canan Sümbül , Cemal Belen , Mustafa Yıldırım

https://doi.org/10.31801/cfsuasmas.1124351

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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