摘要
利用几何不等式理论与解析方法,研究了n维欧氏空间En中n维单形外接球半径与内切球半径之间的关系,推广了n维Euler不等式和Veljan Korchmaros不等式,建立了单形的两个更强的不等式。
By using the theory of geometric inequalities and analytic method,the relationship between the circumradius and inradius of an n-dimensional simplex in the n-dimensional Euclidean space E^n was studied.The n-dimensional Euler inequality and Veljan-Korchmaros inequality were generalized, and two stronger inequalities were established.
出处
《河南科技大学学报(自然科学版)》
CAS
2004年第3期92-95,共4页
Journal of Henan University of Science And Technology:Natural Science
基金
安徽省跨世纪学术带头人选科研基金资助项目(2002HBL30)