单形宽度的Sallee猜想的加强

Improvement of Sallee's conjecture on the width of a simplex

利用几何不等式理论与方法,研究了En中n维单形的宽度问题,给出了Sallee猜想的加强及其体积和宽度之间的一个加强,得到了关于单形宽度与外接球半径及体积之间更强的不等式.

This paper has studied the width of a n-dimensional simplex in En and some improvements of Sallee’ s conjecture and the inequality between the width and the volume are put forward based on the theory of distance geometric inequality and analytic method. Then some improved inequalities between the simplex width, circum-radius and simplex volume are obtained.