Mixed volumes and measures of asymmetry
Mixed volumes and measures of asymmetry
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DOI：
10.1007/s10114-014-3502-z
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发表时间：
2014-10
期刊：
影响因子：
--
通讯作者：
Haixia Jin;G. Leng;Qi Guo
中科院分区：
文献类型：
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作者：
Haixia Jin;G. Leng;Qi Guo
凸体的混合体积和非对称性度量是凸几何中的两个重要课题。本文首先揭示了E. Lutwak和p-测度的非对称性，其中闵可夫斯基测度作为一种特殊情况，由Q。小郭。然后，利用R. J. Gardner，D.拥抱和W。Weil最近提出的，它是p-测度的一个推广。
The mixed volume and the measure of asymmetry for convex bodies are two important topics in convex geometry. In this paper, we first reveal a close connection between theLp-mixed volumes proposed by E. Lutwak and thep-measures of asymmetry, which have the Minkowski measure as a special case, introduced by Q. Guo. Then, a family of measures of asymmetry is defined in terms of the Orlicz mixed volumes introduced by R. J. Gardner, D. Hug and W. Weil recently, which is an extension of thep-measures.