A sharp weighted Wirtinger inequality
| dc.creator | Ricciardi, Tonia | |
| dc.date | 2005-01-04 | |
| dc.date.accessioned | 2026-07-07T05:15:49Z | |
| dc.date.available | 2026-07-07T05:15:49Z | |
| dc.description | We obtain a sharp estimate for the best constant $C>0$ in the Wirtinger type inequality \[ \int_0^{2π}γ^pw^2\le C\int_0^{2π}γ^qw'^2 \] where $γ$ is bounded above and below away from zero, $w$ is $2π$-periodic and such that $\int_0^{2π}γ^pw=0$, and $p+q\ge0$. Our result generalizes an inequality of Piccinini and Spagnolo. | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0501044 | |
| dc.identifier | http://arxiv.org/abs/math/0501044 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73761 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Dynamical Systems | |
| dc.title | A sharp weighted Wirtinger inequality | |
| dc.type | text |