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Journal of Shanghai University >

2016 , Vol. 22 >Issue 6: 763 - 774

DOI: https://doi.org/10.3969/j.issn.1007-2861.2015.03.001

A new proof of the Brunn-Minkowski inequality

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

Received date: 2015-05-11

  Online published: 2016-12-30

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Abstract

Several important properties of Knöthe map were obtained, and then the Knöthe maps between certain specific convex bodies were calculated. As an application, a new proof of Brunn-Minkowski inequality using Knöthe map was given.

Key words：  Brunn-Minkowski inequality;  Knöthe map; convex body

Cite this article

LIAO Ting . A new proof of the Brunn-Minkowski inequality[J]. Journal of Shanghai University, 2016 , 22(6) : 763 -774 . DOI: 10.3969/j.issn.1007-2861.2015.03.001

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