J4 ›› 2011, Vol. 46 ›› Issue (2): 117-122.
• Articles •
YANG Shi-guo1, WANG Wen2, QIAN Di2, PAN Juan-juan2
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.
simplex; circum-radius; in-radius; radius of escribed ball; stability
YANG Shi-guo1, WANG Wen2, QIAN Di2, PAN Juan-juan2. The stability of some inequalities for a simplex[J].J4, 2011, 46(2): 117-122.
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