New L P Affine Isoperimetric Inequalities *
نویسندگان
چکیده
We prove new Lp affine isoperimetric inequalities for all p ∈ [−∞, 1). We establish, for all p 6= −n, a duality formula which shows that Lp affine surface area of a convex body K equals Ln2 p affine surface area of the polar body K◦.
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