New Upper Bounds for Mathieu-Type Series
Download
Download
DownloadExport
Tomovski, Živorad and Pogány, Tibor K (2008) New Upper Bounds for Mathieu-Type Series. Research report collection, 11 (4).
Abstract
The Mathieu’s series S(r) was considered firstly by É.L. Mathieu in 1890; its alternating variant Š(r) has been recently introduced by Pogány et al. [Some families of Mathieu a-series and alternating Mathieu a-series, 2006] where various bounds have been established for S, Š. In this note we obtain new upper bounds over S(r), Š(r) with the help of Hardy–Hilbert double integral inequality.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/17641 |
| Subjects | Historical > FOR Classification > 0101 Pure Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | Mathieu series, alternating Mathieu-series, Hardy-Hilbert integral inequality, upper bound inequality |
| Download/View statistics | View download statistics for this item |
CORE (COnnecting REpositories)