dc.creator | Cañete Martín, Antonio Jesús | es |
dc.creator | Schnell, Uwe | es |
dc.creator | Segura Gomis, Salvador | es |
dc.date.accessioned | 2019-10-23T11:09:25Z | |
dc.date.available | 2019-10-23T11:09:25Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | Cañete Martín, A.J., Schnell, U. y Segura Gomis, S. (2016). Subdivisions of rotationally symmetric planar convex bodies minimizing the maximum relative diameter. Journal of Mathematical Analysis and Applications, 435 (1), 718-734. | |
dc.identifier.issn | 0022-247X | es |
dc.identifier.uri | https://hdl.handle.net/11441/89834 | |
dc.description.abstract | In this work we study subdivisions of k-rotationally symmetric
planar convex bodies that minimize the maximum relative diameter
functional. For some particular subdivisions called k-partitions, consisting
of k curves meeting in an interior vertex, we prove that the so-called standard
k-partition (given by k equiangular inradius segments) is minimizing
for any k 2 N, k > 3. For general subdivisions, we show that the previous
result only holds for k 6 6. We also study the optimal set for this problem,
obtaining that for each k 2 N, k > 3, it consists of the intersection of the
unit circle with the corresponding regular k-gon of certain area. Finally,
we also discuss the problem for planar convex sets and large values of k,
and conjecture the optimal k-subdivision in this case. | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia MTM2010-21206-C02-01 | es |
dc.description.sponsorship | Ministerio de Economía e Innovación MTM2013-48371-C2-1-P | es |
dc.description.sponsorship | Junta de Andalucía FQM-325 | es |
dc.description.sponsorship | Junta de Andalucía P09-FQM-5088 | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications, 435 (1), 718-734. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Partitioning problems | es |
dc.subject | k-rotationally symmetric planar convex body | es |
dc.subject | Maximum relative diameter | es |
dc.title | Subdivisions of rotationally symmetric planar convex bodies minimizing the maximum relative diameter | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | 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 | MTM2010-21206-C02-01 | es |
dc.relation.projectID | MTM2013-48371-C2-1-P | es |
dc.relation.projectID | FQM-325 | es |
dc.relation.projectID | P09-FQM-5088 | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0022247X15009968 | es |
dc.identifier.doi | 10.1016/j.jmaa.2015.10.053 | es |
idus.format.extent | 21 | es |
dc.journaltitle | Journal of Mathematical Analysis and Applications | es |
dc.publication.volumen | 435 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 718 | es |
dc.publication.endPage | 734 | es |
dc.identifier.sisius | 21022901 | es |