On Generalized Difference Rough Ideal Statistical Convergence in Neutrosophic Normed Spaces

Authors

  • Manpreet Kaur Department of Mathematics, Chandigarh University, Mohali, Punjab, India.;
  • Meenakshi Chawla Department of Mathematics, Chandigarh University, Mohali, Punjab, India.;

Keywords:

Neutrosophic normed space; ideal statistical convergence; rough ideal statistical convergence; dif ference sequence

Abstract

 This article’s main goal is to provide and investigate a novel statistical convergence generalisation
 for generalized difference sequences in Neutrosophic Normed Spaces (NNS) called rough ideal statistical con
vergence. The collection of approximate optimal statistical limit points and cluster points is defined, and their
 algebraic and topological features are examined. Additionally, we included the relationship for generalized dif
ference sequences in NNS between rough I-statistical cluster points and rough I-statistical limit points.

 

DOI: 10.5281/zenodo.11479539

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Published

2024-06-01

Issue

Vol. 68 (2024): Neutrosophic Sets and Systems

Section

Article

License

Copyright (c) 2024 Neutrosophic Sets and Systems

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Manpreet Kaur, & Meenakshi Chawla. (2024). On Generalized Difference Rough Ideal Statistical Convergence in Neutrosophic Normed Spaces. Neutrosophic Sets and Systems, 68(68), 287-310. https://fs.unm.edu/nss8/index.php/111/article/view/4533