摘要
本文运用凸几何分析理论,建立了投影体的宽度积分和仿射表面积的一些新型Brunn-Minkowski 不等式,这些结果改进了Lutwak的几个有用的定理.作为应用,进一步给出了混合投影体极的Brunn- Minkowski型不等式.
This paper establishes some new Brunn-Minkowski type inequalities for width-integrals of projection bodies and affine surface area by using convex geometric analysis theory, which improve Lutwak's several important theorems. As application, the Brunn-Minkowski inequality for polars of mixed projection bodies is obtained.
出处
《数学年刊（A辑）》
CSCD
北大核心
2005年第2期275-282,共8页
Chinese Annals of Mathematics
基金
国家自然科学基金(No.10271071)山东省高校中青年学术骨干基金(N0.200203)资助的项目.
关键词
凸体的宽度积分
仿射表面积
投影体的极
投影体的宽度积分
Width-integrals of convex body, Affine surface area, Polars of projection body, Width-integral of projection body
