- Communications in Advanced Mathematical Sciences
- Vol: 5 Issue: 3
- $\mathcal{I}_2$-Uniform Convergence of Double Sequences of Functions In $2$-Normed Spaces
$\mathcal{I}_2$-Uniform Convergence of Double Sequences of Functions In $2$-Normed Spaces
Authors : Sevim Yegül Güzey, Erdinç Dündar, Mukaddes Arslan
Pages : 150-160
Doi:10.33434/cams.1177174
View : 16 | Download : 7
Publication Date : 2022-09-30
Article Type : Research
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