A New Perspective on Generalized Statistical Convergence of Double Sequences in Neutrosophic 2-Normed Spaces

In this paper, we study key characteristics of (λ, µ)-statistical convergence within the neutrosophic 2- norm framework. To deepen the understanding of these concepts, we extend our discussion to [V, λ, µ]-summability under neutrosophic 2-norm structures, leading to the formulation of some important results. Additionally, we explore the notion of (λ, µ)-statistical Cauchy sequences, revealing their intricate relationship with (λ, µ)- statistical convergence in the context of neutrosophic 2-normed spaces. Moreover, we examine the inclusion relationships between the classes of all statistically convergent and (λ, µ)-statistically convergent double sequences, shedding light on their structural interconnections within this mathematical framework in relation to the neutrosophic 2- norm framework.

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Publication Details

Journal
Fuzzy Sets and Systems
Published
2025-09-16
DOI
https://doi.org/10.71602/tfss.2026.1218238
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
Field-Weighted Citation Impact
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article

A New Perspective on Generalized Statistical Convergence of Double Sequences in Neutrosophic 2-Normed Spaces

Nesar Hossain, Rahul Mondal
Fuzzy Sets and Systems
Approximation Theory and Sequence Spaces
article

A New Perspective on Generalized Statistical Convergence of Double Sequences in Neutrosophic 2-Normed Spaces

Nesar Hossain, Rahul Mondal
article en

Abstract

In this paper, we study key characteristics of (λ, µ)-statistical convergence within the neutrosophic 2- norm framework. To deepen the understanding of these concepts, we extend our discussion to [V, λ, µ]-summability under neutrosophic 2-norm structures, leading to the formulation of some important results. Additionally, we explore the notion of (λ, µ)-statistical Cauchy sequences, revealing their intricate relationship with (λ, µ)- statistical convergence in the context of neutrosophic 2-normed spaces. Moreover, we examine the inclusion relationships between the classes of all statistically convergent and (λ, µ)-statistically convergent double sequences, shedding light on their structural interconnections within this mathematical framework in relation to the neutrosophic 2- norm framework.

Fuzzy Sets and Systems
Kanya Maha Vidyalaya (IN), Department of Science and Technology and Biotechnology (IN)
Reduced inequalities
Openalex Percentile: Top 18%
Approximation Theory and Sequence Spaces
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