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Article: Chord Power Integrals for Simplices

TitleChord Power Integrals for Simplices
Authors
Cheung, WSXiong, G
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?
DOI: http://dx.doi.org/10.1142/S1793557109000479
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
1793-5571
2020 SCImago Journal Rankings: 0.294
ISI Accession Number ID
WOS:000214249300003

 

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.identifier.isiWOS:000214249300003-
dc.publisher.placeSingapore-
dc.identifier.issnl1793-7183-

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