An estimate for the best constant in the Lp-Wirtinger inequality with weights

We prove an estimate for the best constant C in the following Wirtinger type inequality ∫02πa|w|p≤C∫02πb|w′|p.

Bibliographic Details
Main Author: Raffaella Giova
Format: Article
Language:English
Published: Hindawi Limited 2008-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2008/680925
Description
Summary:We prove an estimate for the best constant C in the following Wirtinger type inequality ∫02πa|w|p≤C∫02πb|w′|p.
ISSN:0972-6802