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Article: Radial mean bodies of simplices

TitleRadial mean bodies of simplices
Authors
KeywordsConvex Body
Covariogram
Radial Mean Body
Simplex
Issue Date2007
PublisherShanghai University. The Journal's web site is located at http://shdy.chinajournal.net.cn/
Citation
Journal Of Shanghai University, 2007, v. 11 n. 1, p. 49-51 How to Cite?
AbstractIn this paper, it is proved that the radial pth mean body R p K(p > 0) is homothetic to the difference body DK when K is a simplex. Furthermore, the equality R p(R q) = R q(R p) is established when p > 0 and q > 0. It is also proved the Brunn-Minkowski inequality of radial pth mean body of simplex and uniqueness property. © 2007 Shanghai University.
Persistent Identifierhttp://hdl.handle.net/10722/156193
ISSN
2014 SCImago Journal Rankings: 0.111
References

 

DC FieldValueLanguage
dc.contributor.authorNi, JHen_US
dc.contributor.authorXiong, Gen_US
dc.contributor.authorCheung, WSen_US
dc.date.accessioned2012-08-08T08:40:47Z-
dc.date.available2012-08-08T08:40:47Z-
dc.date.issued2007en_US
dc.identifier.citationJournal Of Shanghai University, 2007, v. 11 n. 1, p. 49-51en_US
dc.identifier.issn1007-6417en_US
dc.identifier.urihttp://hdl.handle.net/10722/156193-
dc.description.abstractIn this paper, it is proved that the radial pth mean body R p K(p > 0) is homothetic to the difference body DK when K is a simplex. Furthermore, the equality R p(R q) = R q(R p) is established when p > 0 and q > 0. It is also proved the Brunn-Minkowski inequality of radial pth mean body of simplex and uniqueness property. © 2007 Shanghai University.en_US
dc.languageengen_US
dc.publisherShanghai University. The Journal's web site is located at http://shdy.chinajournal.net.cn/en_US
dc.relation.ispartofJournal of Shanghai Universityen_US
dc.subjectConvex Bodyen_US
dc.subjectCovariogramen_US
dc.subjectRadial Mean Bodyen_US
dc.subjectSimplexen_US
dc.titleRadial mean bodies of simplicesen_US
dc.typeArticleen_US
dc.identifier.emailCheung, WS:wscheung@hkucc.hku.hken_US
dc.identifier.authorityCheung, WS=rp00678en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1007/s11741-007-0108-zen_US
dc.identifier.scopuseid_2-s2.0-34547362198en_US
dc.identifier.hkuros127899-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-34547362198&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume11en_US
dc.identifier.issue1en_US
dc.identifier.spage49en_US
dc.identifier.epage51en_US
dc.publisher.placeChinaen_US
dc.identifier.scopusauthoridNi, JH=17434911800en_US
dc.identifier.scopusauthoridXiong, G=17436359500en_US
dc.identifier.scopusauthoridCheung, WS=7202743118en_US

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