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Article: Orlicz Mixed Affine Quermassintegrals

TitleOrlicz Mixed Affine Quermassintegrals
Authors
Zhao, CJCheung, WS
KeywordsLp-addition
Orlicz addition
affine quermassintegrals
Orlicz affinequermassintegrals
Orlicz-Minkowski inequality
Issue Date2018
PublisherUniversitatea Politehnica din Bucuresti, Department of Mathematics. The Journal's web site is located at http://www.mathem.pub.ro/bjga
Citation
Balkan Journal of Geometry and Its Applications, 2018, v. 23 n. 2, p. 76-96 How to Cite?
AbstractThe main aim of this paper is to generalize the mixed affinequermassintegrals to Orlicz space. Under the framework of Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by cal-culating the Orlicz first order variation of the mixed affine quermassinte-grals, and call itOrlicz mixed affine quermassintegrals. The fundamentalnotions and conclusions of the mixed affine quermassintegrals and the re-lated isoperimetric inequalities are extended to an Orlicz setting. Theconcepts and inequalities for Orlicz quermassintegrals of convex bodiesare also included in our conclusions. The new Orlicz isperimetric inequal-ities in special case which yield the Orlicz Minkowski inequalities andOrlicz Brunn-Minkowski inequalities for the quermassintegrals, the affinequermassintegrals and the Orlicz affine quermassintegrals.
Persistent Identifierhttp://hdl.handle.net/10722/272697
ISSN
1224-2780
2013 Impact Factor: 0.684
2023 SCImago Journal Rankings: 0.181

 

DC FieldValueLanguage
dc.contributor.authorZhao, CJ-
dc.contributor.authorCheung, WS-
dc.date.accessioned2019-08-06T09:14:50Z-
dc.date.available2019-08-06T09:14:50Z-
dc.date.issued2018-
dc.identifier.citationBalkan Journal of Geometry and Its Applications, 2018, v. 23 n. 2, p. 76-96-
dc.identifier.issn1224-2780-
dc.identifier.urihttp://hdl.handle.net/10722/272697-
dc.description.abstractThe main aim of this paper is to generalize the mixed affinequermassintegrals to Orlicz space. Under the framework of Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by cal-culating the Orlicz first order variation of the mixed affine quermassinte-grals, and call itOrlicz mixed affine quermassintegrals. The fundamentalnotions and conclusions of the mixed affine quermassintegrals and the re-lated isoperimetric inequalities are extended to an Orlicz setting. Theconcepts and inequalities for Orlicz quermassintegrals of convex bodiesare also included in our conclusions. The new Orlicz isperimetric inequal-ities in special case which yield the Orlicz Minkowski inequalities andOrlicz Brunn-Minkowski inequalities for the quermassintegrals, the affinequermassintegrals and the Orlicz affine quermassintegrals.-
dc.languageeng-
dc.publisherUniversitatea Politehnica din Bucuresti, Department of Mathematics. The Journal's web site is located at http://www.mathem.pub.ro/bjga-
dc.relation.ispartofBalkan Journal of Geometry and Its Applications-
dc.rightsNo part of this publication may be reproduced, or transmitted in any form or by any means for commercial use without obtaining the written permission of the publisher. Derivatives of the journal content are not permitted.-
dc.subjectLp-addition-
dc.subjectOrlicz addition-
dc.subjectaffine quermassintegrals-
dc.subjectOrlicz affinequermassintegrals-
dc.subjectOrlicz-Minkowski inequality-
dc.titleOrlicz Mixed Affine Quermassintegrals-
dc.typeArticle-
dc.identifier.emailCheung, WS: wscheung@hku.hk-
dc.identifier.authorityCheung, WS=rp00678-
dc.description.naturepublished_or_final_version-
dc.identifier.scopuseid_2-s2.0-85054297240-
dc.identifier.hkuros300539-
dc.identifier.volume23-
dc.identifier.issue2-
dc.identifier.spage76-
dc.identifier.epage96-
dc.publisher.placeRomania-
dc.identifier.issnl1224-2780-

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