On the uniform convergence of double sine series
Volume 151 / 2018
Colloquium Mathematicum 151 (2018), 71-95
MSC: 42A20, 42A32, 42B99.
DOI: 10.4064/cm7027-12-2016
Published online: 6 November 2017
Abstract
We introduce a new class of double sequences called $\mathit {DGM}(\alpha ,\beta ,\gamma ,r)$, which is a generalization of the class considered by Kórus. Moreover, we obtain sufficient and necessary conditions for uniform convergence of double sine series with coefficients from this class.
