On the Structure of Zweier (λ,μ)-Statistical Convergence in neutrosophic n-normed space

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Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Cilt: 29 Sayı: 3
On the Structure of Zweier (λ,μ)-Statistical Convergence in neutrosophic n-normed space

On the Structure of Zweier (λ,μ)-Statistical Convergence in neutrosophic n-normed space

Authors : Ömer Kişi, Rabia Savas

Pages : 639-650

Doi:10.19113/sdufenbed.1793560

View : 48 | Download : 220

Publication Date : 2025-12-25

Article Type : Research Paper

Abstract :In this study, we investigate fundamental properties of Zweier (λ,μ)-statistical convergence within the setting of neutrosophic n-normed spaces. To enhance the theoretical foundation, we extend our analysis to Zweier [V,λ,μ]-summability, formulated under the same neutrosophic n-norm framework, and establish several significant results. Furthermore, we introduce and analyze the concept of Zweier (λ,μ)-statistical Cauchy sequences, elucidating their nuanced connection to Zweier (λ,μ)-statistical convergence in neutrosophic n-normed environments. In addition, we explore the inclusion relations between the families of all statistically convergent double sequences and those that are Zweier (λ,μ)-statistically convergent, thereby providing a deeper understanding of their internal structure and interdependencies within the neutrosophic n-norm context.
Keywords : Neutrosophic n-normed spaces, Zweier statistical Cauchy sequences, Zweier[V λ μ]-summability

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