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

Author:

Debnath Pradip1ORCID

Affiliation:

1. Department of Mathematical Sciences, Tezpur University, Tezpur 784028, Assam, India

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.

Publisher

MDPI AG

Reference36 articles.

1. Fuzzy sets;Zadeh;Inform. Cont.,1965

2. Fuzzy approximation by fuzzy convolution type operators;Anastassiou;Comput. Math. Appl.,2004

3. Fuzzy uniform convergence and equicontinuity;Fuzzy Sets Syst.,2000

4. Convergences of fuzzy sets based on decomposition theory and fuzzy polynomial function;Wu;Fuzzy Sets Syst.,2000

5. Metric spaces in fuzzy set theory;Erceg;J. Math. Anal. Appl.,1979

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