Inequalities for Zonotopes  

作　　者：赵灵芝 冷岗松 

机构地区：[1]Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P.R. China

出　　处：《Journal of Shanghai University(English Edition)》2005年第6期476-479,共4页上海大学学报（英文版）

基　　金：Project supported in part by National Natural Science Foundation of China （Grant No. 10271071）

摘　　要：The lower bound for the volume of the zonotope for John-basis had been given by Ball. In this paper, a simple proof of Ball＇s inequality was first provided, then the result of Ball was generalized from John-basis to a sequence of non-zero vectors which are full rank. Furthermore, the upper bound for the volumes of zonotopes was given. Finally the inequalities were deduced for the inradius and circumradius of a certain zonotope.The lower bound for the volume of the zonotope for John-basis had been given by Ball. In this paper, a simple proof of Ball＇s inequality was first provided, then the result of Ball was generalized from John-basis to a sequence of non-zero vectors which are full rank. Furthermore, the upper bound for the volumes of zonotopes was given. Finally the inequalities were deduced for the inradius and circumradius of a certain zonotope.

关 键 词：ZONOTOPE John-basis QUERMASSINTEGRAL mixedvolume masspoint system 

分 类 号：O178[理学—数学]