On deferred I-statistical rough convergence of difference sequences in neutrosophic normed spaces
Keywords:
Neutrosophic normed space(NNS); difference sequences; deferred statistical convergence; I convergence; deferred I-statistical convergence; rough convergence.Abstract
In this study, using the concepts of deferred density and the notion of the ideal I, we extend the
idea of rough convergence by introducing the notion of deferred I–statistical rough convergence via difference
operators in the framework of neutrosophic normed spaces. We define a set of limits of this convergence and
prove that the limit set is convex and closed with respect to the neutrosophic norm. We also develop the
idea of deferred I-statistical ∆j
h-cluster points of sequences in neutrosophic normed spaces and investigate their
connection the set of these cluster points and the limit set of the aforementioned convergence.
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