Some Remarks on Rough IK-Statistical Convergence of Sequences in Normed Linear Spaces

Abstract

This study introduces the concept of rough I^*-statistical convergence in a normed linear space, extending the notion of rough I-statistical convergence. Furthermore, we propose the concept of rough I^K-statistical convergence in a more comprehensive framework. We examine the properties related to these novel concepts and explore the interconnections among rough I-statistical convergence, rough I^*-statistical convergence, and rough I^K-statistical convergence. By doing so, we enhance our understanding of these convergence modes and pave the way for their application in various mathematical contexts.