In this paper, we use a geometric identity in the n-dimensional Euclidean space En and give the further improveme nt of Klamkin inequality in the space En.
Let P be arbitrary a point inside the simplex A in the n-dimensional Eucidean spaceEn . Let di be the distance from the point P to the correspondent hyperplane of vertex Ai of A.Let r denote the inradius of A. In this...Let P be arbitrary a point inside the simplex A in the n-dimensional Eucidean spaceEn . Let di be the distance from the point P to the correspondent hyperplane of vertex Ai of A.Let r denote the inradius of A. In this paper,we obtain a very strong negative eaponent geometric inequatity of contact with d1,d2,...,dn+1 and r.展开更多
文摘In this paper, we use a geometric identity in the n-dimensional Euclidean space En and give the further improveme nt of Klamkin inequality in the space En.
文摘Let P be arbitrary a point inside the simplex A in the n-dimensional Eucidean spaceEn . Let di be the distance from the point P to the correspondent hyperplane of vertex Ai of A.Let r denote the inradius of A. In this paper,we obtain a very strong negative eaponent geometric inequatity of contact with d1,d2,...,dn+1 and r.
