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- Publisher Website: 10.1007/s11741-007-0108-z
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Article: Radial mean bodies of simplices
Title | Radial mean bodies of simplices |
---|---|
Authors | |
Keywords | Convex Body Covariogram Radial Mean Body Simplex |
Issue Date | 2007 |
Publisher | Shanghai 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? |
Abstract | In 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 Identifier | http://hdl.handle.net/10722/156193 |
ISSN | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ni, JH | en_US |
dc.contributor.author | Xiong, G | en_US |
dc.contributor.author | Cheung, WS | en_US |
dc.date.accessioned | 2012-08-08T08:40:47Z | - |
dc.date.available | 2012-08-08T08:40:47Z | - |
dc.date.issued | 2007 | en_US |
dc.identifier.citation | Journal Of Shanghai University, 2007, v. 11 n. 1, p. 49-51 | en_US |
dc.identifier.issn | 1007-6417 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156193 | - |
dc.description.abstract | In 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.language | eng | en_US |
dc.publisher | Shanghai University. The Journal's web site is located at http://shdy.chinajournal.net.cn/ | en_US |
dc.relation.ispartof | Journal of Shanghai University | en_US |
dc.subject | Convex Body | en_US |
dc.subject | Covariogram | en_US |
dc.subject | Radial Mean Body | en_US |
dc.subject | Simplex | en_US |
dc.title | Radial mean bodies of simplices | en_US |
dc.type | Article | en_US |
dc.identifier.email | Cheung, WS:wscheung@hkucc.hku.hk | en_US |
dc.identifier.authority | Cheung, WS=rp00678 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1007/s11741-007-0108-z | en_US |
dc.identifier.scopus | eid_2-s2.0-34547362198 | en_US |
dc.identifier.hkuros | 127899 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-34547362198&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 11 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.spage | 49 | en_US |
dc.identifier.epage | 51 | en_US |
dc.publisher.place | China | en_US |
dc.identifier.scopusauthorid | Ni, JH=17434911800 | en_US |
dc.identifier.scopusauthorid | Xiong, G=17436359500 | en_US |
dc.identifier.scopusauthorid | Cheung, WS=7202743118 | en_US |
dc.identifier.issnl | 1007-6417 | - |