Centroids and Comparison of Volumes
نویسندگان
چکیده
For −1 < p < 1 we introduce the concept of a polar p-centroid body Γ * p K of a star body K. We consider the question of whether Γ * p K ⊂ Γ * p L implies vol(L) ≤ vol(K). Our results extend the studies by Lutwak in the case p = 1 and Grinberg, Zhang in the case p > 1.
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