Statistical Cesàro Summability in Intuitionistic Fuzzy n-Normed Linear Spaces Leading towards Tauberian Theorems

Autor:	Pradip Debnath
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	intuitionistic fuzzy n-normed linear space Cesàro summability Tauberian theorem Cauchy sequence Mathematics QA1-939
Zdroj:	Axioms, Vol 13, Iss 8, p 557 (2024)
Druh dokumentu:	article
ISSN:	2075-1680
DOI:	10.3390/axioms13080557
Popis:	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.
Databáze:	Directory of Open Access Journals
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