南阳师范学院学报
南暘師範學院學報
남양사범학원학보
JOURNAL OF NANYANG TEACHERS COLLEGE
2015年
3期
5-8
,共4页
单形%宽度%外接球半径%体积
單形%寬度%外接毬半徑%體積
단형%관도%외접구반경%체적
simplex%width%circumradius%volume
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。
利用幾何不等式理論與方法，研究瞭En中n維單形的寬度問題，給齣瞭Sallee猜想的加彊及其體積和寬度之間的一箇加彊，得到瞭關于單形寬度與外接毬半徑及體積之間更彊的不等式。
이용궤하불등식이론여방법，연구료En중n유단형적관도문제，급출료Sallee시상적가강급기체적화관도지간적일개가강，득도료관우단형관도여외접구반경급체적지간경강적불등식。
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.
