$\mathcal{I}_2$-Uniform Convergence of Double Sequences of Functions In $2$-Normed Spaces

Sevim Yegül Güzey; Erdinç Dündar; Mukaddes Arslan

doi:10.33434/cams.1177174

EN

$\mathcal{I}_2$-Uniform Convergence of Double Sequences of Functions In $2$-Normed Spaces

Abstract

In this work, we discuss various types of $\mathcal{I}_2$-uniform convergence and equi-continuous for double sequences of functions. Also, we introduce the concepts of $\mathcal{I}_2$-uniform convergence, $\mathcal{I}_2^*$-uniform convergence, $\mathcal{I}_2$-uniformly Cauchy sequences and $\mathcal{I}_2^*$-uniformly Cauchy sequences for double sequences of functions in $2$-normed spaces. Then, we show the relationships between these new concepts.

Keywords

Double sequence of functions, $\mathcal{I}$-Convergence, Uniformly convergence, 2-normed spaces

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Sevim Yegül Güzey
Türkiye

Erdinç Dündar ^*
0000-0002-0545-7486
Türkiye

Mukaddes Arslan
0000-0002-5798-670X
Türkiye

Publication Date

September 30, 2022

Submission Date

September 19, 2022

Acceptance Date

September 30, 2022

Published in Issue

Year 2022 Volume: 5 Number: 3

DOI

https://doi.org/10.33434/cams.1177174

IZ

https://izlik.org/JA47YB98SZ

APA

Yegül Güzey, S., Dündar, E., & Arslan, M. (2022). $\mathcal{I}_2$-Uniform Convergence of Double Sequences of Functions In $2$-Normed Spaces. Communications in Advanced Mathematical Sciences, 5(3), 150-160. https://doi.org/10.33434/cams.1177174

AMA

1.Yegül Güzey S, Dündar E, Arslan M. $\mathcal{I}_2$-Uniform Convergence of Double Sequences of Functions In $2$-Normed Spaces. Communications in Advanced Mathematical Sciences. 2022;5(3):150-160. doi:10.33434/cams.1177174

Chicago

Yegül Güzey, Sevim, Erdinç Dündar, and Mukaddes Arslan. 2022. “$\mathcal{I}_2$-Uniform Convergence of Double Sequences of Functions In $2$-Normed Spaces”. Communications in Advanced Mathematical Sciences 5 (3): 150-60. https://doi.org/10.33434/cams.1177174.

EndNote

Yegül Güzey S, Dündar E, Arslan M (September 1, 2022) $\mathcal{I}_2$-Uniform Convergence of Double Sequences of Functions In $2$-Normed Spaces. Communications in Advanced Mathematical Sciences 5 3 150–160.

IEEE

[1]S. Yegül Güzey, E. Dündar, and M. Arslan, “$\mathcal{I}_2$-Uniform Convergence of Double Sequences of Functions In $2$-Normed Spaces”, Communications in Advanced Mathematical Sciences, vol. 5, no. 3, pp. 150–160, Sept. 2022, doi: 10.33434/cams.1177174.

ISNAD

Yegül Güzey, Sevim - Dündar, Erdinç - Arslan, Mukaddes. “$\mathcal{I}_2$-Uniform Convergence of Double Sequences of Functions In $2$-Normed Spaces”. Communications in Advanced Mathematical Sciences 5/3 (September 1, 2022): 150-160. https://doi.org/10.33434/cams.1177174.

JAMA

1.Yegül Güzey S, Dündar E, Arslan M. $\mathcal{I}_2$-Uniform Convergence of Double Sequences of Functions In $2$-Normed Spaces. Communications in Advanced Mathematical Sciences. 2022;5:150–160.

MLA

Yegül Güzey, Sevim, et al. “$\mathcal{I}_2$-Uniform Convergence of Double Sequences of Functions In $2$-Normed Spaces”. Communications in Advanced Mathematical Sciences, vol. 5, no. 3, Sept. 2022, pp. 150-6, doi:10.33434/cams.1177174.

Vancouver

1.Sevim Yegül Güzey, Erdinç Dündar, Mukaddes Arslan. $\mathcal{I}_2$-Uniform Convergence of Double Sequences of Functions In $2$-Normed Spaces. Communications in Advanced Mathematical Sciences. 2022 Sep. 1;5(3):150-6. doi:10.33434/cams.1177174

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$\mathcal{I}_2$-Uniform Convergence of Double Sequences of Functions In $2$-Normed Spaces

Abstract

Keywords

Abstract

References

Details

Primary Language

Subjects

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Publication Date

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Acceptance Date

Published in Issue

DOI

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