Moch Aruman Imron, Ch.Rini Indrati Widodo
The classical theorem on the uniform convergence of sine series with monotonedecreasing coefficients have been proved by Chaundy and Jollife in 1916. Recently, the monotone decreasing coefficiets has been generalized by classes of Mean Bounded variation Sequences, Supremum Bounded Variation Sequence and p-Supremum Bounded Variation Sequences. In two variables, class of Mean Bounded Variation Double Sequences and Supremum Bounded Variation Double Sequences were studied under the uniform convergence of double sine series. We shall generalize those results by defining class of p-Supremum Bounded Variation Double Sequences and study uniform convergence of double sine series. © 2013 Moch Aruman Imron et al.
Department of Math, Faculty of Math and Sciences, University of Brawijaya, Malang, Indonesia; Graduate School, Faculty of Mathematics and Sciences, University of Gadjah Mada, Yogyakarta, Indonesia; Department of Math, Faculty of Math and Sciences, University of Gadjah Mada, Yogyakarta, Indonesia
