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Journal of Shanghai University >

2013 , Vol. 19 >Issue 2: 154 - 159

DOI: https://doi.org/10.3969/j.issn.1007-2861.2013.02.009

Mathematics.Physics and Chemistry

Stability of q-Dual Aleksandrov-Fenchel Inequality

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  • College of Sciences, Shanghai University, Shanghai 200444, China

Received date: 2012-06-05

  Online published: 2013-04-30

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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

Cite this article

LIU Qi-xia . Stability of q-Dual Aleksandrov-Fenchel Inequality[J]. Journal of Shanghai University, 2013 , 19(2) : 154 -159 . DOI: 10.3969/j.issn.1007-2861.2013.02.009

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