| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6418182 | Journal of Mathematical Analysis and Applications | 2015 | 17 Pages |
Abstract
This paper deals with Lp geominimal surface area and its extension to Lp mixed geominimal surface area. We give an integral formula of Lp geominimal surface area by the p-Petty body and introduce the concept of Lp mixed geominimal surface area which is a natural extension of Lp geominimal surface area. Some inequalities, such as, analogues of Alexandrov-Fenchel inequalities, Blaschke-Santaló inequalities, and affine isoperimetric inequalities for Lp mixed geominimal surface areas are obtained.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Baocheng Zhu, Jiazu Zhou, Wenxue Xu,