A reverse Rogers-Shephard inequality for log-concave functions
classification
🧮 math.MG
keywords
bodiesfunctionslog-concaveinequalitypolarprovereverserogers-shephard
read the original abstract
We will prove a reverse Rogers-Shephard inequality for log-concave functions. In some particular cases, the method used for general log-concave functions can be slightly improved, allowing us to prove volume estimates for polars of $\ell_p$-diferences of convex bodies whose polar bodies under some condition on the barycenter of their polar bodies.
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