Inequalities for a simplex and an interior point

被引:0
|
作者
Leng, GS
Ma, TY
Qian, XZ
机构
[1] Hunan Normal Univ, Dept Math, Changsha 410081, Peoples R China
[2] Zhangyie Normal Coll, Dept Math, Gansu 734000, Peoples R China
[3] Hunan Univ, Dept Appl Math, Changsha 410082, Peoples R China
关键词
simplex; distance; volume; inequality;
D O I
10.1023/A:1010353523857
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We establish some inequalities for the inradius, circumradius and distances between an interior point and facets of an n-simplex, and prove a recursion inequality for the radii of the circumscribed spheres of an n-simplex and its facets.
引用
收藏
页码:1 / 10
页数:10
相关论文
共 50 条
  • [1] Inequalities for a Simplex and an Interior Point
    Leng Gangsong
    Ma Tongyi
    Qian Xiangzheng
    [J]. Geometriae Dedicata, 2001, 85 : 1 - 10
  • [2] Inequalities for a simplex and any point
    Li, XY
    Leng, GS
    Tang, LH
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2005, 8 (03): : 547 - 557
  • [3] Interior point methods are not worse than Simplex
    Allamigeon, Xavier
    Dadush, Daniel
    Loho, Georg
    Natura, Bento
    Vegh, Laszlo A.
    [J]. 2022 IEEE 63RD ANNUAL SYMPOSIUM ON FOUNDATIONS OF COMPUTER SCIENCE (FOCS), 2022, : 267 - 277
  • [4] SOME NEW INEQUALITIES FOR AN INTERIOR POINT OF A TRIANGLE
    Liu, Jian
    [J]. JOURNAL OF MATHEMATICAL INEQUALITIES, 2012, 6 (02): : 195 - 204
  • [6] Some Geometric Inequalities for a Tangent Point Simplex
    Sun Mingbao
    [J]. Geometriae Dedicata, 2001, 85 : 119 - 123
  • [7] Some geometric inequalities for a tangent point simplex
    Sun, MB
    [J]. GEOMETRIAE DEDICATA, 2001, 85 (1-3) : 119 - 123
  • [8] Some geometric inequalities relating to an interior point in triangle
    Wu, Yu-Dong
    Zhang, Zhi-Hua
    Liang, Chun-Lei
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICAL EDUCATION IN SCIENCE AND TECHNOLOGY, 2010, 41 (05) : 677 - +
  • [9] Interior point techniques for optimal control of variational inequalities
    A. Leôntiev
    J. Herskovits
    [J]. Structural optimization, 1997, 14 : 100 - 107
  • [10] Interior point techniques for optimal control of variational inequalities
    Leontiev, A
    Herskovits, J
    [J]. STRUCTURAL OPTIMIZATION, 1997, 14 (2-3) : 100 - 107