L_p混合截面体的一些几何不等式

刘丽娟 , 汪卫

doi:10.13371/j.cnki.chin.q.j.m.2018.02.006

数学季刊 >

2018 , Vol. 33 >Issue 2: 156 - 165

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2018.02.006

L_p混合截面体的一些几何不等式

展开

School of Mathematics and Computational Science, Hunan University of Science and Technology. Department of Mathematics, Tongji University.

LIU Li-juan(1980-), female, Hailun, Heilongjiang, a lecturer of Hunan University of Science and Technology, Ph.D., engages in convex geometry; WANG Wei(1982-), male, Qiyang, Hunan, an associate professor of Hunan University of Science and Technology, Ph.D., engages in convex geometry.

录用日期: 2015-11-15

网络出版日期: 2020-10-09

基金资助

Supported by the Natural Science Foundation of Hunan Province(2017JJ3085+16C0635)； Supported by the China Postdoctoral Science Foundation(2016M601644)；

收起

Inequalities for L_p Mixed Intersection Bodies

Expand

School of Mathematics and Computational Science, Hunan University of Science and Technology. Department of Mathematics, Tongji University.

Accepted date: 2015-11-15

Online published: 2020-10-09

Supported by

Supported by the Natural Science Foundation of Hunan Province(2017JJ3085+16C0635)； Supported by the China Postdoctoral Science Foundation(2016M601644)；

Fold

摘要

Haberl and Ludwig defined the notions of L_p intersection bodies. In this paper,we introduce the L_p mixed intersection bodies, and establish some geometric inequalities for L_p mixed intersection bodies. Furthermore, the Busemann-Petty type problem for L_p mixed intersection bodies are shown.

关键词： Star body; Radial function; L_p mixed intersection bodies; L_p Cosine transform

本文引用格式

刘丽娟 , 汪卫 . L_p混合截面体的一些几何不等式[J]. 数学季刊, 2018 , 33(2) : 156 -165 . DOI: 10.13371/j.cnki.chin.q.j.m.2018.02.006

Abstract

Key words： Star body; Radial function; L_p ; mixed intersection bodies; L_p ; Cosine transform

Options

文章导航

模态框（Modal）标题

摘要

本文引用格式

Abstract