TY  - JOUR
T1  - $\mathcal{I}_2$-Uniform Convergence of Double Sequences of Functions In $2$-Normed Spaces
AU  - Dündar, Erdinç
AU  - Yegül Güzey, Sevim
AU  - Arslan, Mukaddes
PY  - 2022
DA  - September
Y2  - 2022
DO  - 10.33434/cams.1177174
JF  - Communications in Advanced Mathematical Sciences
PB  - Emrah Evren KARA
WT  - DergiPark
SN  - 2651-4001
SP  - 150
EP  - 160
VL  - 5
IS  - 3
LA  - en
AB  - 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.
KW  - Double sequence of functions
KW  - $\mathcal{I}$-Convergence
KW  - Uniformly convergence
KW  - 2-normed spaces
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UR  - https://doi.org/10.33434/cams.1177174
L1  - https://dergipark.org.tr/en/download/article-file/2658535
ER  -