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 $$\alpha$$ .