In this paper,we present inequalities for volumes of subsimplices of a simplex and its pedal simplex and generalize them to m ＋ 1 simplices and their pedal simplices.
Using theory of distance geometry and analytic method, the problem on relations about the volumes of some simplices is studied, and some new inequalities for the volumes of simplices are established. As special cases,...Using theory of distance geometry and analytic method, the problem on relations about the volumes of some simplices is studied, and some new inequalities for the volumes of simplices are established. As special cases, an inequality for the volume of the pedal simplex of a simplex and other inequalities for simplices are gotten.展开更多
基金Project supported by the National Natural Science Foundation of China (Grant No.10671117)the Foundation of the Education Department of Gansu Province (Grant No.0709-03)
文摘In this paper,we present inequalities for volumes of subsimplices of a simplex and its pedal simplex and generalize them to m ＋ 1 simplices and their pedal simplices.
文摘Using theory of distance geometry and analytic method, the problem on relations about the volumes of some simplices is studied, and some new inequalities for the volumes of simplices are established. As special cases, an inequality for the volume of the pedal simplex of a simplex and other inequalities for simplices are gotten.
