首页|The Polar φ-Brunn-Minkowski Inequalities

The Polar φ-Brunn-Minkowski Inequalities

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A general framework of polar Brunn-Minkowski theory that unifies the Orlicz Brunn-Minkowski inequality,the Lp Brunn-Minkowski inequality for p ∈ (0,1) and the log-Brunn-Minkowski inequality all for polar bodies is provided.It is shown that this general polar φ Brunn-Minkowski inequality is equivalent to a general polar φ Minkowski mixed volume inequality.

polar bodyvariational formulageneral Brunn-Minkowski theoryMinkowski mixed volume inequalityBrunn-Minkowski inequality

WEI Hongyu

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School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China

Supported by the Natural Science Foundation of Chongqing

CSTC-2018JCYJ-AX0190

2020

10.19823/j.cnki.1007-1202.2020.0038

武汉大学自然科学学报(英文版)
武汉大学

武汉大学自然科学学报(英文版)

CSTPCDCSCD
影响因子：0.066
ISSN：1007-1202
年,卷(期)：2020.25(4)
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