混合相交体的对偶仿射均质积分不等式  

The affine quermassintegrals inequalities about the mixed intersection body

作　　者：郭婷[1] 崔小波[1] 李小燕[1] 

机构地区：[1]湖南师范大学数学与计算机科学学院,湖南长沙410081

出　　处：《湖南文理学院学报（自然科学版）》2009年第1期3-5,共3页Journal of Hunan University of Arts and Science(Science and Technology)

基　　金：湖南省自然科学基金资助项目(06JJ2043);湖南省教育厅科研基金资助项目(05C412)

摘　　要：Lutwark提出对偶仿射均质积分的概念,拓宽了经典的对偶混合体积理论.混合相交体一直是凸几何经典理论的研究对象,这里结合Hlder积分不等式和Minkowski积分不等式建立了对偶仿射均质积分关于混合相交体的对偶Minkowski不等式和对偶Brunn-Minkowski不等式.Lutwark introduced the dual affine quermassin-tegrals, expanded the classic theoretics of dual mixed Intersection body. The mixed Intersection body is the objiect to study the Historical Theory of Convex Geometry. By inspiring Holder integral inequality and Minkowski integral inequality, the dual Minkowski inequality and the dual Brunn-Minkowski inequality of the dual affine quermassintegrals were established, which was relate to the mixed.

关 键 词：星体 相交体 对偶仿射均质积分 

分 类 号：O178[理学—数学]