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

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.

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Journal
Axioms
Published
2024-08-15
DOI
https://doi.org/10.3390/axioms13080557
Citations
1
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
1.01
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article

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

Pradip Debnath
1 citations
Axioms
Fixed Point Theorems Analysis
1.01
article

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

Pradip Debnath
article en
1 citations

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.

AxiomsVol. 13(8)
Tezpur University (IN)
Reduced inequalities
Openalex Percentile: Top 26%
Fixed Point Theorems Analysis
1.01
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