Centroids and comparison of volumes

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dc.creatorYaskin, V.
dc.creatorYaskina, M.
dc.date2005-03-15
dc.date.accessioned2026-07-07T05:17:57Z
dc.date.available2026-07-07T05:17:57Z
dc.descriptionFor $-1<p<1$ we introduce the concept of a polar $p$-centroid body ${Γ^*_p K}$ of a star body $K$. We consider the question of whether ${Γ^*_p K}\subset {Γ^*_p L}$ implies $\mathrm{vol}(L)\le \mathrm{vol}(K).$ Our results extend the studies by Lutwak in the case $p=1$ and Grinberg, Zhang in the case $p> 1$.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0503290
dc.identifierhttp://arxiv.org/abs/math/0503290
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74496
dc.subjectFunctional Analysis
dc.subject52Axx
dc.titleCentroids and comparison of volumes
dc.typetext

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