Abstract
We introduce the concepts of \(\Delta^m\) -statistical convergence and \(\Delta^m\) -lacunary statistical convergence of order \(\alpha\) with respect to the neutrosophic norm in neutrosophic normed spaces. We explore the relationships between these two types of convergence and investigate some inclusion theorems. Furthermore, we present \(\Delta^m\) -statistically continuous functions and \(\Delta^m\) -statistical uniformly convergent functions of order \(\alpha\) .
