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

Abstract

In this study, we investigate fundamental properties of Zweier (?,?)-statistical convergence within the setting of neutrosophic n-normed spaces. To enhance the theoretical foundation, we extend our analysis to Zweier [V,?,?]-summability, formulated under the same neutrosophic n-norm framework, and establish several significant results. Furthermore, we introduce and analyze the concept of Zweier (?,?)-statistical Cauchy sequences, elucidating their nuanced connection to Zweier (?,?)-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 (?,?)-statistically convergent, thereby providing a deeper understanding of their internal structure and interdependencies within the neutrosophic n-norm context.