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• W2950095594 abstract "We prove that the reciprocal of the volume of the polar bodies, about the Santal'o point, of a {em shadow system} of convex bodies $K_t$, is a convex function of $t$. Thus extending to the non-symmetric case a result of Campi and Gronchi. The case that the reciprocal of the volume is an affine function of $t$ is also investigated and is characterized under certain conditions. We apply these results to prove exact reverse Santal'o inequality for polytopes in $rd{d}$ that have at most $d+3$ vertices." @default.
• W2950095594 created "2019-06-27" @default.
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• W2950095594 date "2006-06-13" @default.
• W2950095594 modified "2023-09-27" @default.
• W2950095594 title "Shadow systems and volume of polar convex bodies" @default.
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