Statistical Convergence of Nets Through Directed Sets

Ar Murugan; J. Dianavinnarasi; C. Ganesa Moorthy

doi:10.32323/ujma.539127

EN

Statistical Convergence of Nets Through Directed Sets

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

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Ar Murugan This is me
0000-0003-3119-7531

J. Dianavinnarasi This is me
0000-0003-3119-7531

C. Ganesa Moorthy ^*
0000-0003-3119-7531
India

Publication Date

June 28, 2019

Submission Date

March 13, 2019

Acceptance Date

May 3, 2019

Published in Issue

Year 2019 Volume: 2 Number: 2

DOI

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

IZ

https://izlik.org/JA66AR69CB

APA

Murugan, A., Dianavinnarasi, J., & Ganesa Moorthy, C. (2019). Statistical Convergence of Nets Through Directed Sets. Universal Journal of Mathematics and Applications, 2(2), 79-84. https://doi.org/10.32323/ujma.539127

AMA

1.Murugan A, Dianavinnarasi J, Ganesa Moorthy C. Statistical Convergence of Nets Through Directed Sets. Univ. J. Math. Appl. 2019;2(2):79-84. doi:10.32323/ujma.539127

Chicago

Murugan, Ar, J. Dianavinnarasi, and C. Ganesa Moorthy. 2019. “Statistical Convergence of Nets Through Directed Sets”. Universal Journal of Mathematics and Applications 2 (2): 79-84. https://doi.org/10.32323/ujma.539127.

EndNote

Murugan A, Dianavinnarasi J, Ganesa Moorthy C (June 1, 2019) Statistical Convergence of Nets Through Directed Sets. Universal Journal of Mathematics and Applications 2 2 79–84.

IEEE

[1]A. Murugan, J. Dianavinnarasi, and C. Ganesa Moorthy, “Statistical Convergence of Nets Through Directed Sets”, Univ. J. Math. Appl., vol. 2, no. 2, pp. 79–84, June 2019, doi: 10.32323/ujma.539127.

ISNAD

Murugan, Ar - Dianavinnarasi, J. - Ganesa Moorthy, C. “Statistical Convergence of Nets Through Directed Sets”. Universal Journal of Mathematics and Applications 2/2 (June 1, 2019): 79-84. https://doi.org/10.32323/ujma.539127.

JAMA

1.Murugan A, Dianavinnarasi J, Ganesa Moorthy C. Statistical Convergence of Nets Through Directed Sets. Univ. J. Math. Appl. 2019;2:79–84.

MLA

Murugan, Ar, et al. “Statistical Convergence of Nets Through Directed Sets”. Universal Journal of Mathematics and Applications, vol. 2, no. 2, June 2019, pp. 79-84, doi:10.32323/ujma.539127.

Vancouver

1.Ar Murugan, J. Dianavinnarasi, C. Ganesa Moorthy. Statistical Convergence of Nets Through Directed Sets. Univ. J. Math. Appl. 2019 Jun. 1;2(2):79-84. doi:10.32323/ujma.539127