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

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

2008-02-14

arxiv.org/abs/0802.1942v1

Mathematics

Classical Analysis and ODEs

4 pages,a result among others in a poster to appear at the 5th European Congress of Mathematics in Amsterdam under the title "

Scientific paper

We 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.

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