On Rogers-Shephard type inequalities for general measures

Published 11 Sep 2018 in math.MG | (1809.04051v2)

Abstract: In this paper we prove a series of Rogers-Shephard type inequalities for convex bodies when dealing with measures on the Euclidean space with either radially decreasing densities, or quasi-concave densities attaining their maximum at the origin. Functional versions of classical Rogers-Shephard inequalities are also derived as consequences of our approach.

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