| 关于Petty投影不等式猜想Lp-版本的几个不等式 |
| |
| 引用本文： | 马统一. 关于Petty投影不等式猜想Lp-版本的几个不等式[J]. 数学杂志, 2011, 31(6) |
| |
| 作者姓名： | 马统一 |
| |
| 作者单位： | 河西学院数学系,甘肃张掖,734000 |
| |
| 基金项目： | Supported by National Natural Science Foundation of China(10971128); the Foundation of the Education Department of Gansu Province(200809-04) |
| |
| 摘 要： | 本文研究了关于投影不等式的Petty猜想这个凸体理论中的一个著名公开问题.利用凸体的Lp-Brunn-Minkowski-Firey理论,建立了Petty投影不等式猜想的Lp-版本的几个不同精度的不等式,推广了已有文献的结论.
|
| 关 键 词： | 凸体 Lp-版本 Petty投影不等式 投影不等式的Petty猜想 Lp-投影体 |
SEVERAL INEQUALITIES FOR Lp-VERSION OF PETTY'S CONJECTURED PROJECTION INEQUALITY |
| |
| MA Tong-yi. SEVERAL INEQUALITIES FOR Lp-VERSION OF PETTY'S CONJECTURED PROJECTION INEQUALITY[J]. Journal of Mathematics, 2011, 31(6) |
| |
| Authors: | MA Tong-yi |
| |
| Affiliation: | MA Tong-yi (Department of Mathematics,Hexi University,Zhangye 734000,China) |
| |
| Abstract: | In this article,we further study a famous open problem relating to Petty's conjectured projection inequality in convex geometry.By using the Lp-Brunn-Minkowski-Firey theoryof convex bodies,we establish a number of different precision inequalities relating to Lp-version of the Petty's conjectured projection inequality.Our results are some generalizations in the results of the previous literature. |
| |
| Keywords: | convex body Lp -version Petty projection inequality Petty's conjectured projection inequality Lp -projection body |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
