On a conjectured inequality in convex analysis in the case of the unit ball of lp^n, 1<= p<= infinity

dc.creatorKarayannakis, D.
dc.date2008-02-14
dc.date.accessioned2026-07-07T09:20:43Z
dc.date.available2026-07-07T09:20:43Z
dc.descriptionWe re-confirm, for the case of the unit p-ball of R^n, one of recent conjectures of G.Kuperberg on centrally symmetric convex bodies.This conjecture was very recently confirmrd for this particular case by D.A.Gutierrez using polygamma functions and convexity theory.We present another proof using only the basic properties of gamma function and mildly advanced classical analysis tools.
dc.description4 pages,a result among others in a poster to appear at the 5th European Congress of Mathematics in Amsterdam under the title " lp(R^n) ramifications of a gamma functions ratio formula"
dc.identifierhttps://arxiv.org/abs/0802.1942
dc.identifierhttp://arxiv.org/abs/0802.1942
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154811
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.titleOn a conjectured inequality in convex analysis in the case of the unit ball of lp^n, 1<= p<= infinity
dc.typetext

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