The Dual Log-Brunn-Minkowski Inequalities

In this article, we establish the dual log-Brunn-Minkowski inequality and the dual log-Minkowski inequality. Moreover, the equivalence between the dual log-Brunn-Minkowski inequality and the dual log-Minkowski inequality is demonstrated. 2010Mathematics Subject Classification. 52A40, 53A15. Key word...

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Published inTaiwanese journal of mathematics Vol. 20; no. 4; pp. 909 - 919
Main Authors Wang, Wei, Liu, Lijuan
Format Journal Article
LanguageEnglish
Published Mathematical Society of the Republic of China 01.08.2016
Subjects
Mathematical functions
Mathematical inequalities
Online AccessGet full text
ISSN1027-5487
2224-6851
2224-6851
DOI10.11650/tjm.20.2016.6323

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Abstract In this article, we establish the dual log-Brunn-Minkowski inequality and the dual log-Minkowski inequality. Moreover, the equivalence between the dual log-Brunn-Minkowski inequality and the dual log-Minkowski inequality is demonstrated. 2010Mathematics Subject Classification. 52A40, 53A15. Key words and phrases. Star body, Radial function, Log radial sum, Dual Brunn-Minkowski inequality, Dual Minkowski inequality.
AbstractList In this article, we establish the dual log-Brunn-Minkowski inequality and the dual log-Minkowski inequality. Moreover, the equivalence between the dual log-Brunn-Minkowski inequality and the dual log-Minkowski inequality is demonstrated. 2010Mathematics Subject Classification. 52A40, 53A15. Key words and phrases. Star body, Radial function, Log radial sum, Dual Brunn-Minkowski inequality, Dual Minkowski inequality.
Author Wang, Wei
Liu, Lijuan
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10.1017/cbo9780511526282
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10.7146/math.scand.a-10510
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Title The Dual Log-Brunn-Minkowski Inequalities
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