On Volume Product Inequalities for Convex Sets
نویسندگان
چکیده
The volume of the polar body of a symmetric convex set K of Rd is investigated. It is shown that its reciprocal is a convex function of the time t along movements, in which every point of K moves with constant speed parallel to a fixed direction. This result is applied to find reverse forms of the Lp-Blaschke-Santaló inequality for two-dimensional convex sets.
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