<div class="csl-bib-body">
<div class="csl-entry">Langharst, D., & Xi, D. (2024). General higher order 𝐿<sup>P</sup> mean zonoids. <i>Proceedings of the American Mathematical Society</i>, <i>152</i>(12), 5299–5311. https://doi.org/10.1090/proc/16914</div>
</div>
-
dc.identifier.issn
0002-9939
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/202586
-
dc.description.abstract
Abstract. In 1970, Schneider introduced the mth-order difference body and the associated Rogers-Shephard inequality. Recently, Haddad, Langharst, Putterman, Roysdon and Ye expanded the concept to a burgeoning mth-order
Brunn-Minkowski theory. In 1991, Zhang introduced mean zonoids of a convex body, which was extended to the Firey-Brunn-Minkowski theory setting by Xi, Guo and Leng in 2014. In this note, we extend these L^p mean zonoids to the mth-order setting and establish the associated isoperimetric inequality
en
dc.language.iso
en
-
dc.publisher
AMER MATHEMATICAL SOC
-
dc.relation.ispartof
Proceedings of the American Mathematical Society
-
dc.subject
projection bodies
en
dc.subject
Centroid bodies
en
dc.subject
Lᴾ Busemann-Petty centroid inequality
en
dc.subject
radial mean bodies
en
dc.subject
mean zonoids
en
dc.title
General higher order 𝐿ᴾ mean zonoids
en
dc.type
Article
en
dc.type
Artikel
de
dc.contributor.affiliation
Institut de Mathématiques de Jussieu-Paris Rive Gauche, France
-
dc.description.startpage
5299
-
dc.description.endpage
5311
-
dc.type.category
Original Research Article
-
tuw.container.volume
152
-
tuw.container.issue
12
-
tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
wb.publication.intCoWork
International Co-publication
-
tuw.researchTopic.id
A3
-
tuw.researchTopic.name
Fundamental Mathematics Research
-
tuw.researchTopic.value
100
-
dcterms.isPartOf.title
Proceedings of the American Mathematical Society
-
tuw.publication.orgunit
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
-
tuw.publisher.doi
10.1090/proc/16914
-
dc.date.onlinefirst
2024-09-26
-
dc.identifier.eissn
1088-6826
-
dc.description.numberOfPages
13
-
tuw.author.orcid
0000-0002-4767-3371
-
wb.sci
true
-
wb.sciencebranch
Mathematik
-
wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
100
-
item.languageiso639-1
en
-
item.openairetype
research article
-
item.grantfulltext
none
-
item.fulltext
no Fulltext
-
item.cerifentitytype
Publications
-
item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
-
crisitem.author.dept
Institut de Mathématiques de Jussieu-Paris Rive Gauche
-
crisitem.author.dept
E104-06 - Forschungsbereich Konvexe und Diskrete Geometrie
-
crisitem.author.orcid
0000-0002-4767-3371
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
