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N维单形中张—杨不等式的稳定性及应用
Stability on the Zhang-Yang Inequality of an N-Simplex with Application
【摘要】 首先定义了任意两个n维单形之间的一种度量,使得全体n维单形集合成为一个度量空间,在此基础上证明了n维单形中张-杨不等的稳定性.给出了涉及单形的体积,内切圆半径和高的不等式的稳定性.
【Abstract】 The definition of a metric between any two n- simplexes was given such that the set of all n-simplexes was a metric space. The stability on Zhang-Yang inequality concern- ing volumes for an n-simplex and its (n-1)-dimensional side facet was proved. Moreover, the stability on several inequalities concerning the volume, inradius and height for an n-simplex also were proved.
【基金】 湖南省教育厅科研基金资助项目(00C064);湖南省自然科学基金资助项目(06JJ1034)
- 【文献出处】 湖南文理学院学报(自然科学版) ,Journal of Hunan University of Arts and Science(Science and Technology) , 编辑部邮箱 ,2007年02期
- 【分类号】O184
- 【被引频次】2
- 【下载频次】48