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.

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Bibliographic Details
Main Author: Raffaella Giova
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2008/680925
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author Raffaella Giova
author_facet Raffaella Giova
author_sort Raffaella Giova
collection DOAJ
description We prove an estimate for the best constant C in the following Wirtinger type inequality ∫02πa|w|p≤C∫02πb|w′|p.
format Article
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institution Kabale University
issn 0972-6802
language English
publishDate 2008-01-01
publisher Wiley
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series Journal of Function Spaces and Applications
spelling doaj-art-4c60534d6f944af9aa851a36db170d102025-02-03T01:25:23ZengWileyJournal of Function Spaces and Applications0972-68022008-01-016111610.1155/2008/680925An estimate for the best constant in the Lp-Wirtinger inequality with weightsRaffaella Giova0Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università di Napoli “Federico II”, ItalyWe prove an estimate for the best constant C in the following Wirtinger type inequality ∫02πa|w|p≤C∫02πb|w′|p.http://dx.doi.org/10.1155/2008/680925
spellingShingle Raffaella Giova
An estimate for the best constant in the Lp-Wirtinger inequality with weights
Journal of Function Spaces and Applications
title An estimate for the best constant in the Lp-Wirtinger inequality with weights
title_full An estimate for the best constant in the Lp-Wirtinger inequality with weights
title_fullStr An estimate for the best constant in the Lp-Wirtinger inequality with weights
title_full_unstemmed An estimate for the best constant in the Lp-Wirtinger inequality with weights
title_short An estimate for the best constant in the Lp-Wirtinger inequality with weights
title_sort estimate for the best constant in the lp wirtinger inequality with weights
url http://dx.doi.org/10.1155/2008/680925
work_keys_str_mv AT raffaellagiova anestimateforthebestconstantinthelpwirtingerinequalitywithweights
AT raffaellagiova estimateforthebestconstantinthelpwirtingerinequalitywithweights