Inequalities for Two nDimensional Simplexes with Applications

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Inequalities for Two nDimensional Simplexes with Applications

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- Inequalities for Two nDimensional Simplexes with Applications
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 50, Issue 1, Pages: 27-30(2011)
- 作者机构：
  
  1. 合肥师范学院数学系,安徽,合肥,230061
  2. 
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2011，
  
  Published Online：25 January 2011，
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Inequalities for Two nDimensional Simplexes with Applications. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 50(1):27-30(2011)
DOI：

Inequalities for Two nDimensional Simplexes with Applications. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 50(1):27-30(2011) DOI：

摘要

利用距离几何的理论与方法，研究了欧氏空间En中涉及两个单形棱长和体积的几何不等式问题，建立了涉及两个n维单形棱长与体积的两个几何不等式，推广了En中n维Pedoe不等式和彭-常不等式。

Abstract

Using the theory and method of distance geometry

the problems about geometric inequalities for the edgelengths and volumes of two n dimensional simplexes in the Euclidean space E-n are studied. Two geometric inequalities for the edgelengths and volumes of two n dimensional simplexes are established

and the n dimensional Pedoe inequality and PengChang inequality are improved.

关键词

欧氏空间单形棱长体积不等式

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Related Author

王则柯

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中山大学数学系

中山大学数学

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