关于L_p-混合极投影体的几个不等式  

On Inequalities for L_p-mixed Polar Projection Bodies

作　　者：胡妍[1] 卢峰红[1] 

机构地区：[1]上海电力学院数理系,上海200090

出　　处：《上海电力学院学报》2010年第4期410-413,共4页Journal of Shanghai University of Electric Power

基　　金：上海市优秀青年教师项目(E-2009-07);上海市教委科研创新项目(10YZ160)

摘　　要：在LUTWAK等人提出的Lp-极投影体概念的基础上引入了Lp-混合极投影体的概念,并讨论了Lp-混合极投影体的性质和单调性及其与Lp-质心体间的关系。The notion of the Lp-mixed polar projection bodies is introduced on the basis of the notion of Lp-projection body brought up by Lutwak.The properties and several inequalities between the Lp-mixed polar projection bodies and Lp-centroid bodies are established respectively.Moreover,the monotonic of Lp-mixed polar projection bodies is proven.

关 键 词：Lp-混合极投影体 Lp-极投影体 Lp-质心体 Lp-Busemann-Petty质心体不等式 

分 类 号：O184[理学—数学]