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Article: Radial mean bodies of simplices

TitleRadial mean bodies of simplices
Authors
Ni, JHXiong, GCheung, WS
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?
DOI: http://dx.doi.org/10.1007/s11741-007-0108-z
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
1007-6417
References
References in Scopus

 

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
dc.identifier.issnl1007-6417-

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