Inequalities for the Difference Body of a Convex Body
نویسنده
چکیده
In the following, 5 will denote the boundary of the unit ball in En, and u a variable point of S (so re is a unit vector, or "direction"). The polar equation of the boundary of DK is given by p = /»(«), uES, so piu) is the radius of DK in the direction u. Then p(w) is the maximum length of a chord of K having direction u—the length of a "diameter" of K having direction u. Let p. denote w-dimensional Lebesque measure in £„. Then Rogers and Shephard [5 ] proved that
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