由相交体确定凸体的稳定性

doi:10.13371/j.cnki.chin.q.j.m.2017.02.010

数学季刊 ›› 2017, Vol. 32 ›› Issue (2): 194-207.doi: 10.13371/j.cnki.chin.q.j.m.2017.02.010

由相交体确定凸体的稳定性

College of Mathematics and Statistics, Hexi University

收稿日期:2015-03-21 出版日期:2017-06-30 发布日期:2020-10-23
作者简介:MA Tong-yi(1959-), male, native of Huining, Gansu, a professor of Hexi University, engages in convex geometric analysis and distance geometry study.
基金资助:
Supported by the National Natural Science Foundation of China(11561020,11371224)；

Stable Determination of Convex Bodies from Intersection Bodies

College of Mathematics and Statistics, Hexi University

Received:2015-03-21 Online:2017-06-30 Published:2020-10-23
About author:MA Tong-yi(1959-), male, native of Huining, Gansu, a professor of Hexi University, engages in convex geometric analysis and distance geometry study.
Supported by:
Supported by the National Natural Science Foundation of China(11561020,11371224)；

摘要/Abstract

摘要： In this paper, by means of the dual Brunn-Minkowski theories and methods as well as the integral transform, we have established a stability version of nonsymmetric convex bodies from intersection bodies. In addition, a stability results of symmetric convex bodies from Lp-counterparts is established.

关键词: convex body, intersection body, Lp-intersection body, spherical Radon transform, stability

Abstract: In this paper, by means of the dual Brunn-Minkowski theories and methods as well as the integral transform, we have established a stability version of nonsymmetric convex bodies from intersection bodies. In addition, a stability results of symmetric convex bodies from Lp-counterparts is established.

Key words: convex body, intersection body, Lp-intersection body, spherical Radon transform, stability

中图分类号:

O186.5

马统一. 由相交体确定凸体的稳定性[J]. 数学季刊, 2017, 32(2): 194-207.

MA Tong-yi. Stable Determination of Convex Bodies from Intersection Bodies[J]. Chinese Quarterly Journal of Mathematics, 2017, 32(2): 194-207.

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由相交体确定凸体的稳定性

Stable Determination of Convex Bodies from Intersection Bodies

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