Statistical Cesàro Summability in Intuitionistic Fuzzy <i>n</i>-Normed Linear Spaces Leading towards Tauberian Theorems

Abstract

The concept of summability is crucial in deriving formal solutions to partial differential equations. This paper explores the connection between the methods of statistical convergence of sequences and statistical Cesàro summability in intuitionistic fuzzy n-normed linear space (IFnNLS). While the existing literature covers Cesàro summability and its statistical variant in fuzzy, intuitionistic fuzzy, and classical normed spaces, this study stands out not only for its methodology but also for its comprehensive approach, encompassing a broader range of spaces and detailing the pathway from the statistical Cesàro summability method to statistical convergence. These results will lead us to Tauberian theorems in IFnNLS.

Keywords

• intuitionistic fuzzy n-normed linear space
• Cesàro summability
• Tauberian theorem
• Cauchy sequence