On the Dual p-Measures of Asymmetry for Star Bodies  

作　　者：HUANG Xing ZHU Huawei GUO Qi 

机构地区：[1]School of Mathematics and Information Science, Guangzhou University, Guangzhou 51006, Guangdong, China [2]Academy for Intelligent Software, Guangzhou University, Guangzhou 51006, Guangdong, China [3]Guangdong Provincial Engineering and Technology Research Center for Mathematical Education Software, Guangzhou University, Guangzhou 510006, Guangdong, China [4]Institute of Mathematics and Computer Science, GuizhouNormal College, Guiyang 550018, Guizhou, China [5]Department of Mathematics, Suzhou University of Scienceand Technology, Suzhou 215009, Jiangsu, China

出　　处：《Wuhan University Journal of Natural Sciences》2018年第6期465-470,共6页武汉大学学报（自然科学英文版）

基　　金：Supported by the National Natural Science Foundation of China(12671293,11701118,U1201252);the National High Technology Research&Development Program of China(2015AA015408);the Special Fund for Science & Technology Platform and Talent Team Project of Guizhou Province(Qian KeHe Ping Tai RenCai [2016]5609)

摘　　要：Recently, the connection between p-measures of asymmetry and the L_p-mixed volumes for convex bodies was found soon after the p-measure of asymmetry was proposed, and the Orlicz-measures of asymmetry was proposed inspired by such a kind of connection. In this paper, by a similar way the dual p-measures of asymmetry for star bodies（naturally for convex bodies） is introduced first. Then the connection between dual p-measures of asymmetry and Lp-dual mixed volumes is established. Finally, the best lower and upper bounds of dual p-measures and the corresponding extremal bodies are discussed.Recently, the connection between p-measures of asymmetry and the L_p-mixed volumes for convex bodies was found soon after the p-measure of asymmetry was proposed, and the Orlicz-measures of asymmetry was proposed inspired by such a kind of connection. In this paper, by a similar way the dual p-measures of asymmetry for star bodies（naturally for convex bodies） is introduced first. Then the connection between dual p-measures of asymmetry and Lp-dual mixed volumes is established. Finally, the best lower and upper bounds of dual p-measures and the corresponding extremal bodies are discussed.

关 键 词：convex body dual p-measures of asymmetry Lp -dual mixed volumes 

分 类 号：O186.5[理学—数学]