有关单形旁切球半径的几何不等式

杨世国, 王文

doi:10.13371/j.cnki.chin.q.j.m.2015.01.014

数学季刊 >

2015 , Vol. 30 >Issue 1: 137 - 143

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2015.01.014

有关单形旁切球半径的几何不等式

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1. Department of Mathematics, Hefei Normal University2. Department of Mathematics and Physics, Anhui Xinhua University

YANG Shi-guo(1952-), male, native of Mingguang, Anhui, a professor of Hefei Normal University, engages in convex and distance geometry; WANG Wen(1985-), male, native of Zongyang, Anhui, M.S.D., engages in convex and distance geometry.

收稿日期: 2013-12-08

网络出版日期: 2020-11-24

基金资助

Supported by the Doctoral Programs Foundation of Education Ministry of China(20113401110009)； Supported by the Universities Natural Science Foundation of Anhui Province(KJ2013A220)； Supported by the Natural Science Research Project of Hefei Normal University(2012kj11)；

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Some Geometric Inequalities for the Radii of Escribed Hyperspheres of a Simplex

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1. Department of Mathematics, Hefei Normal University2. Department of Mathematics and Physics, Anhui Xinhua University

Received date: 2013-12-08

Online published: 2020-11-24

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摘要

In this paper, we study the problems of geometric inequality for the radii of escribed hyperspheres of an n-dimensional simplex in Euclidean space En. Some new geometric inequalities for the radii of escribed hyperspheres of a simplex are established.

关键词： simplex; inradius; circumradius; radius of escribed hypersphere; inequality

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杨世国, 王文 . 有关单形旁切球半径的几何不等式[J]. 数学季刊, 2015 , 30(1) : 137 -143 . DOI: 10.13371/j.cnki.chin.q.j.m.2015.01.014

Abstract

Key words： simplex; inradius; circumradius; radius of escribed hypersphere; inequality

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