6533b7dafe1ef96bd126e3f4
RESEARCH PRODUCT
On the Coefficients of Multiple Series with Respect to Vilenkin System
Francesco TuloneValentin A. Skvortsovsubject
010101 applied mathematicsVilenkin systemrectangular convergenceSeries (mathematics)multiple seriesSettore MAT/05 - Analisi MatematicaGeneral Mathematics010102 general mathematicsApplied mathematics0101 mathematics01 natural sciencesMathematicsdescription
Abstract We give a sufficient condition for coefficients of double series Σ Σ n,m an,m χ n,m with respect to Vilenkin system to be convergent to zero when n + m → ∞. This result can be applied to the problem of recovering coefficients of a Vilenkin series from its sum.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-03-01 |