Affine inequalities for L-p mean zonoids

作者：Xi, Dongmeng^*; Guo, Lujun; Leng, Gangsong

来源：Bulletin of the London Mathematical Society, 2014, 46(2): 367-378.

DOI：10.1112/blms/bdt095

In this paper, the L-p(p >= 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.

• 出版日期2014-4
• 单位上海大学