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math.MG2022★ 13 cited
Weighted Brunn-Minkowski Theory I: On Weighted Surface Area Measures
Matthieu Fradelizi, Dylan Langharst, Mokshay Madiman +1
The Brunn-Minkowski theory in convex geometry concerns, among other things, the volumes, mixed volumes, and surface area measures of convex bodies. We study generalizations of thes…
math.MG2022★ 1 cited
Weighted Berwald's Inequality
Dylan Langharst, Eli Putterman
The inequality of Berwald is a reverse-Hölder like inequality for the th average, of a non-negative, concave function over a convex body in W…