Inequalities for the Gamma Function and estimates for the volume of sections of $B_p^n$

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dc.creatorBastero, Jesus
dc.creatorGalve, Fernando
dc.creatorPena, Ana
dc.creatorRomance, Miguel
dc.date2000-08-01
dc.date.accessioned2026-07-07T04:36:37Z
dc.date.available2026-07-07T04:36:37Z
dc.descriptionWe consider $k$-dimensional central sections of the unit ball of $\ell_p^n$ (denoted $B_p^n$) and we prove that their volume are bounded by the volume of $B_p^n$ whenever $1<p<2$ and $1\le k\le (n-1)/2$ or $k=n-1$. We also consider $0<p<1$ and other cases. We obtain sharp inequalities involving Gamma Function in order to get these results.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0008007
dc.identifierhttp://arxiv.org/abs/math/0008007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59661
dc.subjectFunctional Analysis
dc.subject52A20; 33B15; 46B20
dc.titleInequalities for the Gamma Function and estimates for the volume of sections of $B_p^n$
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