%A YANG Shi-guo1, WANG Wen2, QIAN Di2, PAN Juan-juan2 %T The stability of some inequalities for a simplex %0 Journal Article %D 2011 %J JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) %R %P 117-122 %V 46 %N 2 %U {http://lxbwk.njournal.sdu.edu.cn/CN/abstract/article_809.shtml} %8 2011-02-16 %X

Using the theory and method of distance geometry,  the problems of stability of some geometric inequalities for an n-dimensional simplex in the Euclidean space is studied. From the deviation regular metric of two simplexes, the stabilities of four important geometric inequalities of an n-dimensional simplex are proved, and the stability versions of these geometric inequalities for a simplex are given.