Generalized Statistical limit points and cluster points via ideal

TL;DR

This paper extends the concept of statistical limit points to I-statistical limit points for real sequences, exploring their properties and the relationship between limit and cluster points.

Contribution

It introduces the notion of I-statistical limit points, generalizing previous concepts, and studies their fundamental properties in the context of real sequences.

Findings

Characterization of I-statistical limit points

Relationship between I-statistical limit points and cluster points

Basic properties of the set of I-statistical limit points

Abstract

In this paper we have extended the notion of statistical limit point as introduced by Fridy[8] to I-statistical limit point of sequences of real numbers and studied some basic properties of the set of all I-statistical limit points and I-statistical cluster points of real sequences.