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On the convex hull and homothetic convex hull functions of a convex body

On the convex hull and homothetic convex hull functions of a convex body

Abstract The aim of this note is to investigate the properties of the convex hull and the homothetic convex hull functions of a convex body K in Euclidean n -space, defined as the volume of the union of K and one of its translates, and the volume of K and …