Deping YeMemorial University of NewfoundlandBaocheng ZhuHubei University for NationalitiesJiazu ZhouSouthwest University
Convex and Discrete Geometry mathscidoc:1703.40039
In this paper, we introduce several mixed Lp geominimal surface areas for multiple convex bodies for all $−n\neq p \in R$. Our definitions are motivated from an equivalent formula for the mixed p-affine surface area. Some properties, such as the affine invariance, for these mixed Lp geominimal surface areas are proved. Related inequalities, such as, Alexander-Fenchel type inequality, Santal´o style inequality, affine isoperimetric inequalities, and cyclic inequalities are established. Moreover, we also study some properties and inequalities for the i-th mixed Lp geominimal surface areas for two convex bodies.
@inproceedings{depingthe,
title={The mixed Lp geominimal surface areas for multiple convex bodies},
author={Deping Ye, Baocheng Zhu, and Jiazu Zhou},
url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170322012209016802724},
}
Deping Ye, Baocheng Zhu, and Jiazu Zhou. The mixed Lp geominimal surface areas for multiple convex bodies. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170322012209016802724.