Rough Convergence of Double Sequences in $n-$Normed Spaces

Mukaddes Arslan; Ramazan Sunar

doi:10.36753/mathenot.1308678

EN

Rough Convergence of Double Sequences in $n-$Normed Spaces

Abstract

In this study, we introduced the concepts of rough convergence, rough Cauchy double sequence, and the set of rough limit points of a double sequence, as well as the rough convergence criteria associated with this set in $n$-normed spaces. Later, we proved that this set is both closed and convex. Finally, we presented the relationships between rough convergence and rough Cauchy double sequence in $n$-normed spaces.

Keywords

Cauchy sequence, Double sequence, $n-$normed space, Rough convergence

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Mukaddes Arslan ^*
0000-0002-5798-670X
Türkiye

Ramazan Sunar
0000-0001-8107-5618
Türkiye

Early Pub Date

November 2, 2023

Publication Date

January 28, 2024

Submission Date

June 1, 2023

Acceptance Date

July 13, 2023

Published in Issue

Year 2024 Volume: 12 Number: 1

DOI

https://doi.org/10.36753/mathenot.1308678

IZ

https://izlik.org/JA37HS96ZL

APA

Arslan, M., & Sunar, R. (2024). Rough Convergence of Double Sequences in $n-$Normed Spaces. Mathematical Sciences and Applications E-Notes, 12(1), 1-11. https://doi.org/10.36753/mathenot.1308678

AMA

1.Arslan M, Sunar R. Rough Convergence of Double Sequences in $n-$Normed Spaces. Math. Sci. Appl. E-Notes. 2024;12(1):1-11. doi:10.36753/mathenot.1308678

Chicago

Arslan, Mukaddes, and Ramazan Sunar. 2024. “Rough Convergence of Double Sequences in $n-$Normed Spaces”. Mathematical Sciences and Applications E-Notes 12 (1): 1-11. https://doi.org/10.36753/mathenot.1308678.

EndNote

Arslan M, Sunar R (January 1, 2024) Rough Convergence of Double Sequences in $n-$Normed Spaces. Mathematical Sciences and Applications E-Notes 12 1 1–11.

IEEE

[1]M. Arslan and R. Sunar, “Rough Convergence of Double Sequences in $n-$Normed Spaces”, Math. Sci. Appl. E-Notes, vol. 12, no. 1, pp. 1–11, Jan. 2024, doi: 10.36753/mathenot.1308678.

ISNAD

Arslan, Mukaddes - Sunar, Ramazan. “Rough Convergence of Double Sequences in $n-$Normed Spaces”. Mathematical Sciences and Applications E-Notes 12/1 (January 1, 2024): 1-11. https://doi.org/10.36753/mathenot.1308678.

JAMA

1.Arslan M, Sunar R. Rough Convergence of Double Sequences in $n-$Normed Spaces. Math. Sci. Appl. E-Notes. 2024;12:1–11.

MLA

Arslan, Mukaddes, and Ramazan Sunar. “Rough Convergence of Double Sequences in $n-$Normed Spaces”. Mathematical Sciences and Applications E-Notes, vol. 12, no. 1, Jan. 2024, pp. 1-11, doi:10.36753/mathenot.1308678.

Vancouver

1.Mukaddes Arslan, Ramazan Sunar. Rough Convergence of Double Sequences in $n-$Normed Spaces. Math. Sci. Appl. E-Notes. 2024 Jan. 1;12(1):1-11. doi:10.36753/mathenot.1308678