| M. Meyer and E. Werner, The Santalo-regions of a convex body, Trans. Am. Math. Soc. 350 (1998), 4569-4591. |
....Finally, Theorem 6 may be seen as the following inclusion: If K ae R n is a convex body whose centroid is at the origin and OE is an even convex function, then I OE K(t) ae Gamma OE K(t) ae J OE K(t) 3) for all t 0, and the right hand side inclusion holds for any convex function OE. 3) In [12], M. Meyer and E. Werner used this result to investigate some properties of the Santal o regions of K S(K; t) n x 2 K; jKjjK x j v 2 n t o ; where K x = K Gamma x) is the polar of K with respect to x. Actually, we have jK x j = 1 n Z S n Gamma1 doe(u) h K (u) Gamma ....
Meyer, M.; Werner, E.: The Santal'o regions of a convex body. Trans. Amer. Math. Soc., to appear.
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M. Meyer and E. Werner, The Santalo-regions of a convex body, Trans. Am. Math. Soc. 350 (1998), 4569-4591.
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