A note on Santaló inequality for the polarity transform and its reverse (1303.3114v3)

Published 13 Mar 2013 in math.FA

Abstract: We prove a Santal\'{o} and a reverse Santal\'{o} inequality for the polarity transform, which was recently re-discovered by Artstein-Avidan and Milman, in the class consisting of (even) log-concave functions attaining their maximal value 1 at the origin, also called geometric log-cancave functions. The bounds are sharp up to the optimal universal constants.

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