Statistical Convergence of Nets Through Directed Sets

Year 2019, , 79 - 84, 28.06.2019

Ar Murugan J. Dianavinnarasi C. Ganesa Moorthy

https://doi.org/10.32323/ujma.539127

Abstract

The concept of statistical convergence based on asymptotic density is introduced in this article through nets. Some possible extensions of classical results for statistical convergence of sequences are obtained in this article, with extensions to nets.

Keywords

Topological vector spaces, Uniform spaces, Asymptotic density, Nets, Uniform spaces

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