Journal of Shanghai University(Natural Science Edition) ›› 2013, Vol. 19 ›› Issue (2): 154-159.doi: 10.3969/j.issn.1007-2861.2013.02.009

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

Stability of q-Dual Aleksandrov-Fenchel Inequality

LIU Qi-xia   

  1. College of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2012-06-05 Online:2013-04-30 Published:2013-04-30

Abstract: This paper provides three important stability versions of geometric inequalities from dual Brunn-Minkowski theory. They are stabilities of dual Minkowski inequality and dual isoperimetric inequality between dual mixed volume, and stability of q-dual Aleksandrov-Fenchel inequality between q-dual mixed volume.

Key words: dual isoperimetric inequality, q-dual Aleksandrov-Fenchel inequality, dual Minkowski inequality, stability, star body

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