有关单形旁切球半径的几何不等式

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

数学季刊 ›› 2015, Vol. 30 ›› Issue (1): 137-143.doi: 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

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

收稿日期:2013-12-08 出版日期:2015-03-30 发布日期:2020-11-24
作者简介: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.
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)；

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

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

Received:2013-12-08 Online:2015-03-30 Published:2020-11-24
About author: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.
Supported by:
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)；

摘要/Abstract

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

Abstract: 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.

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

中图分类号:

O178

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.

YANG Shi-guo, WANG Wen. Some Geometric Inequalities for the Radii of Escribed Hyperspheres of a Simplex[J]. Chinese Quarterly Journal of Mathematics, 2015, 30(1): 137-143.

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有关单形旁切球半径的几何不等式

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

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