Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (7): 967-973 .doi: https://doi.org/10.1007/s10483-008-0716-y

• Articles • 上一篇    

新椭球的一些性质

沈亚军1,袁俊2   

  1. 1.上海大学 理学院 数学系,上海 200444;
    2.南京师范大学 数学与计算机科学学院,南京 210097
  • 收稿日期:2007-07-06 修回日期:2008-05-15 出版日期:2008-07-03 发布日期:2008-01-01
  • 通讯作者: 沈亚军

Several properties of new ellipsoids

SHEN Ya-jun1,YUAN Jun2   

  1. 1. Department of Mathematics, Shanghai University,Shanghai 200444, P. R. China;
    2. School of Mathematics and Computer Science, Nanjing Normal University,Nanjing 210097, P. R. China
  • Received:2007-07-06 Revised:2008-05-15 Online:2008-07-03 Published:2008-01-01
  • Contact: SHEN Ya-jun

摘要: 首先讨论了当多胞形的新椭球是球的充要条件,然后对算子Γ-2的性质进行了探讨,得出了一些相关的不等式。

关键词: 多胞形, 单调性, 新椭球

Abstract: We first characterize a polytope whose new ellipsoid is a ball. Furthermore, we prove some properties for the operator Γ-2 and obtain some inequalities.

Key words: new ellipsoid, polytopes, monotonicity

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