On Statistical Convergence of Order α in Neutrosophic Normed Spaces

Abstract

In this paper, we introduce the notion of statistical convergent of order α in the neutrosophic
normed spaces. We investigate a few properties of the newly introduced notion and examine the relationship
with statistical convergence in the neutrosophic normed spaces. Finally, we introduce the concept of statistical
Cauchy sequence of order α and show that statistical Cauchy sequences of order α are equivalent to statistical
convergent of order α sequences in the neutrosophic normed spaces.