【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.更多还原

【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.更多还原