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Article: Chord Power Integrals for Simplices

TitleChord Power Integrals for Simplices
Authors
KeywordsSimplex
Dual quermassintegrals
Chord power integrals
Difference body
Issue Date2009
PublisherWorld Scientific Publishing Co. Pte. Ltd.. The Journal's web site is located at http://www.worldscinet.com/aejm
Citation
Asian-European Journal of Mathematics, 2009, v. 2 n. 4, p. 557-565 How to Cite?
AbstractIn this paper, we obtain a formula relating the chord power integrals of a simplex K and the dual quermassintegrals of its difference body DK. As interesting applications, we express the volumes of difference body DK and polar projection body Π*K in terms of the volume of simplex K. Santaló-type inequality for chord power integrals of simplex is also established.
Persistent Identifierhttp://hdl.handle.net/10722/75162
ISSN
2015 SCImago Journal Rankings: 0.204

 

DC FieldValueLanguage
dc.contributor.authorCheung, WSen_HK
dc.contributor.authorXiong, Gen_HK
dc.date.accessioned2010-09-06T07:08:32Z-
dc.date.available2010-09-06T07:08:32Z-
dc.date.issued2009en_HK
dc.identifier.citationAsian-European Journal of Mathematics, 2009, v. 2 n. 4, p. 557-565en_HK
dc.identifier.issn1793-5571-
dc.identifier.urihttp://hdl.handle.net/10722/75162-
dc.description.abstractIn this paper, we obtain a formula relating the chord power integrals of a simplex K and the dual quermassintegrals of its difference body DK. As interesting applications, we express the volumes of difference body DK and polar projection body Π*K in terms of the volume of simplex K. Santaló-type inequality for chord power integrals of simplex is also established.-
dc.languageengen_HK
dc.publisherWorld Scientific Publishing Co. Pte. Ltd.. The Journal's web site is located at http://www.worldscinet.com/aejm-
dc.relation.ispartofAsian-European Journal of Mathematicsen_HK
dc.rightsAsian-European Journal of Mathematics. Copyright © World Scientific Publishing Co. Pte. Ltd..-
dc.subjectSimplex-
dc.subjectDual quermassintegrals-
dc.subjectChord power integrals-
dc.subjectDifference body-
dc.titleChord Power Integrals for Simplicesen_HK
dc.typeArticleen_HK
dc.identifier.emailCheung, WS: wscheung@hku.hken_HK
dc.identifier.emailXiong, G: xiongge@hku.hken_HK
dc.identifier.authorityCheung, WS=rp00678en_HK
dc.identifier.doi10.1142/S1793557109000479-
dc.identifier.scopuseid_2-s2.0-84857509325-
dc.identifier.hkuros168919en_HK
dc.identifier.volume2-
dc.identifier.issue4-
dc.identifier.spage557-
dc.identifier.epage565-
dc.publisher.placeSingapore-

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