DC FieldValueLanguage
dc.contributor.authorBrandenberg, René-
dc.contributor.authorKönig, Stefan-
dc.date.accessioned2021-05-14T08:00:39Z-
dc.date.available2021-05-14T08:00:39Z-
dc.date.issued2014-12-05-
dc.identifier.citationMathematika 61 (3): 559-580 (2015-09)de_DE
dc.identifier.issn2041-7942de_DE
dc.identifier.urihttp://hdl.handle.net/11420/9511-
dc.description.abstractMany classical geometric inequalities on functionals of convex bodies depend on the dimension of the ambient space. We show that this dimension dependence may often be replaced (totally or partially) by different symmetry measures of the convex body. Since these coefficients are bounded by the dimension but possibly smaller, our inequalities sharpen the original ones. Since they can often be computed efficiently, the improved bounds may also be used to obtain better bounds in approximation algorithms.en
dc.language.isoende_DE
dc.publisherCambridge University Pressde_DE
dc.relation.ispartofMathematikade_DE
dc.subjectMathematics - Metric Geometryde_DE
dc.subjectMathematics - Metric Geometryde_DE
dc.subjectComputer Science - Computational Geometryde_DE
dc.subject.ddc510: Mathematikde_DE
dc.titleSharpening geometric inequalities using computable symmetry measuresde_DE
dc.typeArticlede_DE
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.abstract.englishMany classical geometric inequalities on functionals of convex bodies depend on the dimension of the ambient space. We show that this dimension dependence may often be replaced (totally or partially) by different symmetry measures of the convex body. Since these coefficients are bounded by the dimension but possibly smaller, our inequalities sharpen the original ones. Since they can often be computed efficiently, the improved bounds may also be used to obtain better bounds in approximation algorithms.de_DE
tuhh.publisher.doi10.1112/S0025579314000291-
tuhh.publication.instituteMathematik E-10de_DE
tuhh.type.opus(wissenschaftlicher) Artikel-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.issue3de_DE
tuhh.container.volume61de_DE
tuhh.container.startpage559de_DE
tuhh.container.endpage580de_DE
dc.identifier.arxiv1310.4368v4de_DE
dc.identifier.scopus2-s2.0-84948113105de_DE
local.status.inpressfalsede_DE
datacite.resourceTypeJournal Article-
datacite.resourceTypeGeneralText-
item.grantfulltextnone-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.creatorOrcidBrandenberg, René-
item.creatorOrcidKönig, Stefan-
item.languageiso639-1en-
item.creatorGNDBrandenberg, René-
item.creatorGNDKönig, Stefan-
item.fulltextNo Fulltext-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.mappedtypeArticle-
crisitem.author.deptMathematik E-10-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik (E)-
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