Publication Date:
2014-03-16
Description:
In this paper, the $L_p$ ( $p\geq 1$ ) mean zonoid of a convex body $K$ is given, and we show that it is the $L_p$ centroid body of radial $(n+p)$ th mean body of $K$ up to a dilation. We also establish some affine inequalities of these bodies by proving that the volume of the new bodies is decreasing under Steiner symmetrization.
Print ISSN:
0024-6093
Electronic ISSN:
1469-2120
Topics:
Mathematics
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