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Mixed Volumes and Measures of Asymmetry 被引量:1
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作者 Hai Lin JIN Gang Song LENG Qi GUO 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2014年第11期1905-1916,共12页
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 the Lp-mixed volumes proposed by E.Lutwak and the p-... 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 the Lp-mixed volumes proposed by E.Lutwak and the p-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 the p-measures. 展开更多
关键词 Minkowski measure of asymmetry p-measure of asymmetry Lp-mixed volume orlicz measure of asymmetry orlicz mixed volume
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