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1 Introduction In [1] ,Zhang established certain geometric inequa-lities by considering the inclusion measure of a convexfigure containedin a convex body.Theyrelated thein-clusion measure to the mixed volumes of convex bo-dies ,and gave sharp lower and up… 相似文献
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Inclusion measures of convex bodies （ Ⅰ ） 总被引：1，自引：0，他引：1
In this paper, the relations between inclusion measures of different bodies related to convex body K and the inclusion measure of convex body K itself were obtained. 相似文献
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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. 相似文献
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