August 27, 2024Open Access

Statistical and rough statistical convergence in an S-metric space

SKSukila KhatunUniversity of Burdwan ABAmar Kumar BanerjeeUniversity of Burdwan

Puntos clave

Statistical convergence and rough statistical convergence were defined in S-metric spaces, providing new insights.
Key properties such as statistical Cauchyness and boundedness were explored, revealing important relationships.
Investigation included defining rough statistical limit points, which enhance the understanding of convergence behavior in sequences in S-metric spaces. Further relevant results were proven relating these concepts.

Resumen

In this paper, using the concept of natural density, we have introduced the ideas of statistical and rough statistical convergence in an S-metric space. We have investigated some of their basic properties. We have defined statistical Cauchyness and statistical boundedness of sequences and then some results related these ideas have been studied. We have defined the set of rough statistical limit points of a sequence in an S-metric space and have proved some relevant results associated with such type of convergence

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Cite This Study

Khatun et al. (Tue,) studied this question.

synapsesocial.com/papers/68e5adbeb6db643587547035 https://doi.org/https://doi.org/10.48550/arxiv.2408.14973

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