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

In this study, we introduced the concepts of $\mathcal{I}_2$-convergence and $\mathcal{I}_2^*$-convergence of double sequences of functions in $2$-normed space. Also, were studied some properties about these concepts and investigated relationships between them for double sequences of functions in $2...

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Main Authors: Sevim Yegül, Erdinç Dündar
Format: Article
Language:English
Published: Emrah Evren KARA 2019-09-01
Series:Universal Journal of Mathematics and Applications
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/820228
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author Sevim Yegül
Erdinç Dündar
author_facet Sevim Yegül
Erdinç Dündar
author_sort Sevim Yegül
collection DOAJ
description In this study, we introduced the concepts of $\mathcal{I}_2$-convergence and $\mathcal{I}_2^*$-convergence of double sequences of functions in $2$-normed space. Also, were studied some properties about these concepts and investigated relationships between them for double sequences of functions in $2$-normed spaces.
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spelling doaj.art-7c6207872b4b402989da8f7cfa49359f2024-01-21T10:13:50ZengEmrah Evren KARAUniversal Journal of Mathematics and Applications2619-96532019-09-012313013710.32323/ujma.6060501225$\mathcal{I}_2$-Convergence of Double Sequences of Functions in 2-Normed SpacesSevim YegülErdinç DündarIn this study, we introduced the concepts of $\mathcal{I}_2$-convergence and $\mathcal{I}_2^*$-convergence of double sequences of functions in $2$-normed space. Also, were studied some properties about these concepts and investigated relationships between them for double sequences of functions in $2$-normed spaces.https://dergipark.org.tr/tr/download/article-file/820228double sequences of functions2-normed spaces$\mathcal{i}_2$-convergence$\mathcal{i}_2^*$-convergence
spellingShingle Sevim Yegül
Erdinç Dündar
$\mathcal{I}_2$-Convergence of Double Sequences of Functions in 2-Normed Spaces
Universal Journal of Mathematics and Applications
double sequences of functions
2-normed spaces
$\mathcal{i}_2$-convergence
$\mathcal{i}_2^*$-convergence
title $\mathcal{I}_2$-Convergence of Double Sequences of Functions in 2-Normed Spaces
title_full $\mathcal{I}_2$-Convergence of Double Sequences of Functions in 2-Normed Spaces
title_fullStr $\mathcal{I}_2$-Convergence of Double Sequences of Functions in 2-Normed Spaces
title_full_unstemmed $\mathcal{I}_2$-Convergence of Double Sequences of Functions in 2-Normed Spaces
title_short $\mathcal{I}_2$-Convergence of Double Sequences of Functions in 2-Normed Spaces
title_sort mathcal i 2 convergence of double sequences of functions in 2 normed spaces
topic double sequences of functions
2-normed spaces
$\mathcal{i}_2$-convergence
$\mathcal{i}_2^*$-convergence
url https://dergipark.org.tr/tr/download/article-file/820228
work_keys_str_mv AT sevimyegul mathcali2convergenceofdoublesequencesoffunctionsin2normedspaces
AT erdincdundar mathcali2convergenceofdoublesequencesoffunctionsin2normedspaces