Some Observations on (?, µ)-Statistically Convergent Difference Sequences in Neutrosophic n-Normed Linear Spaces

Abstract

In this research, we conduct a detailed analysis of (?, µ)-statistical convergence for differences sequences in neutrosophic n-normed linear spaces. We introduce and examine the concept of (?, µ)-statistical Cauchy difference sequences and prove that every neutrosophic n-normed linear space is (?, µ)-statistically complete with respect to such sequences. Moreover, we define and investigate the (V, ?, µ)-summability of difference sequences, aligned with (?, µ)-statistical convergence under the neutrosophic n-norm. Finally, we obtain the relationship between statistical convergence and (?, µ)-statistical convergence for difference sequences within this specific framework. © 2025, Nihat AKGUNES. All rights reserved.