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

Year: 2025

Type: article

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.

Source: DOAJ (DOAJ: Directory of Open Access Journals)

DOI: 10.71602/tfss.2026.1218238

Authors: Hossain, Nesar, Mondal, Rahul

Institutions: Dumkal Institute of Engineering & Technology, Vivekananda Satavarshiki Mahavidyalaya

Language: English

Topic: Approximation Theory and Sequence Spaces

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7130829270

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