dc.creator | Cañete Martín, Antonio Jesús | es |
dc.creator | González Merino, Bernardo | es |
dc.date.accessioned | 2022-06-23T08:14:21Z | |
dc.date.available | 2022-06-23T08:14:21Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Cañete Martín, A.J. y González Merino, B. (2021). On the isodiametric and isominwidth inequalities for planar bisections. Revista Matemática Iberoamericana, 37 (4), 1247-1275. | |
dc.identifier.issn | 0213-2230 | es |
dc.identifier.uri | https://hdl.handle.net/11441/134619 | |
dc.description.abstract | For a given planar convex body K, a bisection of K is a decomposition of K into two closed sets A,B so that A∩B is an injective continuous curve connecting exactly two boundary points of K. Consider a bisection of K
minimizing, over all bisections, the maximum diameter (resp., maximum width) of the sets in the decomposition.
In this note, we study some properties of these minimizing bisections and prove inequalities extending the classical isodiametric and isominwidth inequalities. Furthermore, we address the corresponding reverse optimization problems and establish inequalities similar to the reverse isodiametric and reverse isominwidth inequalities. | es |
dc.description.sponsorship | Ministerio de Ciencia, Innovación y Universidades MTM2017-84851-C2-1-P | es |
dc.description.sponsorship | Junta de Andalucía FQM-325 | es |
dc.description.sponsorship | Fundación Séneca 19901/GERM/15 | es |
dc.description.sponsorship | Ministerio de Ciencia, Innovación y Universidades PGC2018-094215-B-I00 | es |
dc.format | application/pdf | es |
dc.format.extent | 29 | es |
dc.language.iso | eng | es |
dc.publisher | European Mathematical Society (EMS) | es |
dc.relation.ispartof | Revista Matemática Iberoamericana, 37 (4), 1247-1275. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Planar convex bodies | es |
dc.subject | Maximum bisecting diameter | es |
dc.subject | Maximum bisecting width | es |
dc.subject | Minimizing bisections | es |
dc.title | On the isodiametric and isominwidth inequalities for planar bisections | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | MTM2017-84851-C2-1-P | es |
dc.relation.projectID | FQM-325 | es |
dc.relation.projectID | 19901/GERM/15 | es |
dc.relation.projectID | PGC2018-094215-B-I00 | es |
dc.relation.publisherversion | https://www.ems-ph.org/journals/show_abstract.php?issn=0213-2230&vol=37&iss=4&rank=2 | es |
dc.identifier.doi | 10.4171/rmi/1225 | es |
dc.journaltitle | Revista Matemática Iberoamericana | es |
dc.publication.volumen | 37 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 1247 | es |
dc.publication.endPage | 1275 | es |
dc.contributor.funder | Ministerio de Ciencia, Innovación y Universidades (MICINN). España | es |
dc.contributor.funder | Junta de Andalucía | es |
dc.contributor.funder | Fundación Séneca | es |