On generalizations of statistical convergence and lacunary statistical convergence in neutrosophic normed spaces

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 $\alpha$.