On the L_p-Dual Mixed Volumes  

作　　者：Lian Ying CHEN Chang Jian ZHAO 

机构地区：[1]Department of Mathematics, China Jiliang University

出　　处：《Acta Mathematica Sinica,English Series》2013年第9期1647-1654,共8页数学学报（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No. 10971205)

摘　　要：We establish the cyclic inequality for i-th L p-dual mixed volume and Lp-dual Urysohn inequality between p-mean width and Lp-dual quermassintegral. Moreover, the dual isoperimetric inequality for Lp-dual mixed volume is proved, which is an extension of the classical dual isoperimetric inequality.We establish the cyclic inequality for i-th L p-dual mixed volume and Lp-dual Urysohn inequality between p-mean width and Lp-dual quermassintegral. Moreover, the dual isoperimetric inequality for Lp-dual mixed volume is proved, which is an extension of the classical dual isoperimetric inequality.

关 键 词：Dual mixed volume Lp-dual mixed volume mean width Lp-mean width dual isoperi-metric inequality Lp-dual quermassintegral 

分 类 号：O178[理学—数学]