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

• Articles • Previous Articles    

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

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

2010 MSC Number: 

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