A note on rough statistical convergence of order $\alpha$

TL;DR

This paper introduces the concept of rough statistical convergence of order alpha in normed linear spaces, extending previous notions and analyzing the properties of its limit points.

Contribution

It defines and studies the properties of rough statistical convergence of order alpha, a novel extension in the context of normed linear spaces.

Findings

Defined rough statistical convergence of order alpha.

Analyzed properties of the set of rough statistical limit points.

Extended existing convergence concepts to a new order alpha setting.

Abstract

In this paper, in the line of Aytar\cite{Ay2} and \c{C}olak \cite{Co}, we introduce the notion of rough statistical convergence of order $\alpha$ in normed linear spaces and study some properties of the set of all rough statistical limit points of order $\alpha$.