A study of triple sequences statistical convergence in neutrosophic normed spaces

Neutrosophic logic, probability, and sets are all included in this discipline. A generalisation of conventional sets, fuzzy sets, intuitionistic fuzzy sets, and other related ideas is the neutrosophic set theory. It is a mathematical concept that deals with situations involving inconsistent, ambiguous, and imprecise data. To fully understand sequence spaces, statistical convergence is a crucial concept. In this particular scientific work, we introduce the notion of statistical convergence for triple sequences in a neutrosophic normed space. In this neutrosophic normed space, we also explore the statistical properties of triple completeness and triple Cauchy sequences.

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Publication Details

Journal
Annals of the University of Craiova Mathematics and Computer Science Series
Published
2024-12-25
DOI
https://doi.org/10.52846/ami.v51i2.1798
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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article

A study of triple sequences statistical convergence in neutrosophic normed spaces

Ayhan Eşi, Ayaz Ahmad, Shankar Hari
Annals of the University of Craiova Mathematics and Computer Science Series
Approximation Theory and Sequence Spaces
article

A study of triple sequences statistical convergence in neutrosophic normed spaces

Ayhan Eşi, Ayaz Ahmad, Shankar Hari
article en

Abstract

Neutrosophic logic, probability, and sets are all included in this discipline. A generalisation of conventional sets, fuzzy sets, intuitionistic fuzzy sets, and other related ideas is the neutrosophic set theory. It is a mathematical concept that deals with situations involving inconsistent, ambiguous, and imprecise data. To fully understand sequence spaces, statistical convergence is a crucial concept. In this particular scientific work, we introduce the notion of statistical convergence for triple sequences in a neutrosophic normed space. In this neutrosophic normed space, we also explore the statistical properties of triple completeness and triple Cauchy sequences.

Annals of the University of Craiova Mathematics and Computer Science SeriesVol. 51(2)
National Institute of Technology Patna (IN), Malatya Turgut Özal Üniversitesi (TR), Turgut Özal University (TR)
Openalex Percentile: Top 74%
Approximation Theory and Sequence Spaces
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A study of triple sequences statistical convergence in neutrosophic normed spaces — Ayhan Eşi, Ayaz Ahmad, et al. · Annals of the University of Craiova Mathematics and Computer Science Series (2024) | TGRS Research Map | TGRS