dc.creator | Alonso Gutiérrez, David | es |
dc.creator | González Merino, Bernardo | es |
dc.creator | Jiménez Gómez, Carlos Hugo | es |
dc.date.accessioned | 2016-10-03T10:10:31Z | |
dc.date.available | 2016-10-03T10:10:31Z | |
dc.date.issued | 2015-04-01 | |
dc.identifier.citation | Alonso Gutiérrez, D., González Merino, B. y Jiménez Gómez, C.H. (2015). Volume inequalities for the i-th-convolution bodies. Journal of Mathematical Analysis and Applications, 424 (1), 385-401. | |
dc.identifier.issn | 0022-247X | es |
dc.identifier.uri | http://hdl.handle.net/11441/46756 | |
dc.description.abstract | We obtain a new extension of Rogers-Sephard inequality providing
an upper bound for the volume of the sum of two convex bodies K and L. We also give lower bounds for the volume of the k-th limiting convolution body of two convex bodies K and L. Special attention is paid to the (n−1)-th limiting convolution body, for which a sharp inequality, which is equality only when K = −L is a simplex, is given. Since the n-th limiting convolution body of K and −K is the polar projection body of K, these inequalities can be viewed
as an extension of Zhang’s inequality. | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.description.sponsorship | Fundación Séneca | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.description.sponsorship | Consejo Nacional de Ciencia y Tecnología (México) | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Mathematical Analysis and Applications, 424 (1), 385-401. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Mixed volumes | es |
dc.subject | Convolution bodies | es |
dc.title | Volume inequalities for the i-th-convolution bodies | 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 Análisis Matemático | es |
dc.relation.projectID | MTM2010-16679 | es |
dc.relation.projectID | MTM2009-10418 | es |
dc.relation.projectID | 04540/GERM/06 | es |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO/MTM2012-34037 | es |
dc.relation.projectID | 180486 | es |
dc.relation.publisherversion | http://ac.els-cdn.com/S0022247X14010646/1-s2.0-S0022247X14010646-main.pdf?_tid=eacafe98-8950-11e6-9685-00000aab0f6b&acdnat=1475489311_3bd5329e0e7c295d0338c777e7cace05 | es |
dc.identifier.doi | 10.1016/j.jmaa.2014.11.033 | es |
idus.format.extent | 16 p. | es |
dc.journaltitle | Journal of Mathematical Analysis and Applications | es |
dc.publication.volumen | 424 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 385 | es |
dc.publication.endPage | 401 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/46756 | |