双参数Bokov不等式的高维推广及类似

On High-dimension Generalization and Analogue of Bokov's Inequality with Two-parameters

建立了一个涉及单形旁切球半径与内切球半径的新不等式,其形式上类似于Bokov不等式.由于新不等式中含参数,故其蕴涵了许多关于单形的几何不等式,其特殊情形又可推导出一大批关于三角形和四面体的几何不等式.

Some analogous inequalities involving the inradius and the radii of escribed sphere of a simplex are established. Our results unify a number of known geometric inequalities for simplex. As consequences, various inequalities concerning the triangles or tetrahedrons are derived.