Sevim YEGÜL GÜZEY scite author profile

Sevim YEGÜL GÜZEY

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

GÜZEY¹,

Dündar

Arslan³

2022

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In this work, we discuss various kinds of $\mathcal{I}_2$-uniform convergence and equi-continuous for double sequences of functions and 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 them.

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