On $\mathcal{I}$ -uniform convergence of sequences of functions in 2-normed spaces

Erdinç Dündar, Mukaddes Arslan, Sevim Yegül

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Source: Crossref

Published: Oct 1, 2020

DOI: 10.1216/rmj.2020.50.1637

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Source abstract

In this work, we discuss various kinds of ℐ-uniform convergence for sequences of functions and introduce the concepts of ℐ∗-uniform convergence, ℐ and ℐ∗-uniformly Cauchy sequences of functions in 2-normed spaces. Then, we show the relationships between them.

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On $\mathcal{I}$-uniform convergence of sequences of functions in 2-normed spaces — Mathematical Frontier Network