On Deferred Statistical Summability in Neutrosophic n-Normed Linear Space

Abstract

In this research article, we introduce and define strong deferred summability and deferred statistical summability within the framework of neutrosophic n-normed linear spaces (abbreviated as N-n-NLS), and we thoroughly explore their properties. Furthermore, we introduce the concepts of deferred statistical Cauchy sequences and deferred statistical completeness and provide a characterization of deferred statistical summability in these spaces. As a final step, we conduct a comparative analysis of deferred statistical summability for various sequence pairs α(ℓ), β(ℓ), m(ℓ) and n(ℓ), under the conditions α(ℓ) ≤ m(ℓ) < n(ℓ) ≤ β(ℓ).