Some observations on (λ,μ)-statistically convergent difference sequences in neutrosophic n-normed linear spaces

Year 2025, Volume: 7 Issue: 2, 1 - 23, 30.12.2025

Rümeysa Akbıyık , Ömer Kişi , Mehmet Gürdal

https://doi.org/10.54286/ikjm.1690900

Abstract

In this research, we conduct a detailed analysis of (λ,μ)-statistical convergence for differences sequences in neutrosophic n-normed linear spaces. We introduce and examine the concept of (λ,μ)-statistical Cauchy difference sequences and prove that every neutrosophic n-normed linear space is (λ,μ)-statistically complete with respect to such sequences. Moreover, we define and investigate the (V,λ,μ)-summability of difference sequences, aligned with (λ,μ)-statistical convergence under the neutrosophic n-norm. Finally, we obtain the correlation between statistical convergence and (λ,μ)-statistical convergence for difference sequences within this specific framework.

Keywords

Neutrosophic n-normed linear space , difference sequence , statistical convergence

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