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math.FA2019
Constrained convex bodies with extremal affine surface areas
O. Giladi, H. Huang, C. Schütt +1
Given a convex body K in R^n and p in R, we introduce and study the extremal inner and outer affine surface areas IS_p(K) = sup_{K'\subseteq K} (as_p(K') ) and os_p(K)=inf_{K'\sups…
math.FA2019
The Loewner function of a log-concave function
Ben Li, Carsten Schuett, Elisabeth M. Werner
We introduce the notion of Loewner (ellipsoid) function for a log concave function and show that it is an extension of the Loewner ellipsoid for convex bodies. We investigate its d…