On deferred I-statistical rough convergence of difference sequences in neutrosophic normed spaces

Authors

  • Mukhtar Ahmad Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India
  • Ekrem Sava¸ Department of Mathematics, U¸sak University University, 64000 U¸sak, Turkey
  • Mohammad Mursaleen Department of Mathematical Sciences, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai 602105, Tamilnadu, India

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.

 

DOI: 10.5281/zenodo.17102657

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Published

2026-02-25

How to Cite

Mukhtar Ahmad, Ekrem Sava¸, & Mohammad Mursaleen. (2026). On deferred I-statistical rough convergence of difference sequences in neutrosophic normed spaces. Neutrosophic Sets and Systems, 96, 224-262. https://fs.unm.edu/nss8/index.php/111/article/view/7268