数理化科学

Orlicz 质心体的体积积不等式

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  • 上海大学理学院, 上海200444
熊革(1976—), 男, 教授, 博士, 研究方向为凸体几何. E-mail: xiongge@shu.edu.cn.

收稿日期: 2012-03-19

  网络出版日期: 2013-02-28

基金资助

国家自然科学基金资助项目(11001163); 上海市教委科研创新基金资助项目(11YZ11)

Volume Product Inequalities for Orlicz Centroid Bodies

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  • College of Sciences, Shanghai University, Shanghai 200444, China

Received date: 2012-03-19

  Online published: 2013-02-28

摘要

利用影子系统和平行弦运动, 证明二维凸体Orlicz 质心体的配极体体积与凸体体积的乘积的不等式.

本文引用格式

熊革, 魏正理 . Orlicz 质心体的体积积不等式[J]. 上海大学学报(自然科学版), 2013 , 19(1) : 86 -89 . DOI: 10.3969/j.issn.1007-2861.2013.01.017

Abstract

By using shadow systems and parallel chord movements, the inequalities relating the volume of the polar of Orlicz centroid body and the volume of convex body in the plane are proved.

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