Rough I-statistical convergence of double sequence

TL;DR

This paper explores rough I-statistical convergence of double sequences, introduces the concept of rough ideal limit sets, and examines their topological properties, expanding the theoretical framework of statistical convergence.

Contribution

It extends the concept of I-statistical convergence to rough convergence and introduces rough ideal limit sets with topological analysis, providing new insights into convergence behavior.

Findings

Introduction of rough ideal limit set

Topological properties of these sets analyzed

Extension of I-statistical convergence theory

Abstract

The concept of I-statistical convergence of a double sequence was first introduced and study by Das et. el [2]. Here in this paper we discuss some results on rough ideal statistical convergence and also we introduce the notion of rough ideal limit set and discuss some topological aspects on this set.