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Journal of Function Spaces and Applications
Volume 6, Issue 1, Pages 1-16
http://dx.doi.org/10.1155/2008/680925

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

Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università di Napoli “Federico II”, Italy

Received 1 April 2007

Academic Editor: Carlo Sbordone

Copyright © 2008 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We prove an estimate for the best constant C in the following Wirtinger type inequality 02πa|w|pC02πb|w|p.