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Volume inequalities for the i-th-convolution bodies
dc.contributor.author | Alonso Gutiérrez, David | |
dc.contributor.author | González, Bernardo | |
dc.contributor.author | Jimenez, C. Hugo | |
dc.date.accessioned | 2016-07-15T10:45:48Z | |
dc.date.available | 2016-07-15T10:45:48Z | |
dc.date.issued | 2015-04 | |
dc.identifier.citation | ALONSO-GUTIÉRREZ, David; GONZÁLEZ, Bernardo; JIMÉNEZ, Carlos Hugo. Volume inequalities for the i-th-convolution bodies. Journal of Mathematical Analysis and Applications, 2015, vol. 424, no 1, p. 385-401. | ca_CA |
dc.identifier.uri | http://hdl.handle.net/10234/161725 | |
dc.description.abstract | We obtain a new extension of Rogers–Shephard 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)(n−1)-th limiting convolution body, for which a sharp inequality, which is equality only when K=−LK=−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. | ca_CA |
dc.description.sponsorShip | D. Alonso Gutiérrez was partially supported by MICINN project MTM2010-16679, MICINN-FEDER project MTM2009-10418, “Programa de Ayudas a Grupos de Excelencia de la Región de Murcia”, Fundación Séneca, 04540/GERM/06 and Institut Universitari de Matemàtiques i Aplicacions de Castelló. B. González was partially supported by FEDER (Fondo Europeo de Desarrollo Regional) and MINECO (Ministerio de Economía y Competitividad) project MTM2012-34037, and Fundación Séneca project 04540/GERM/06, Spain. This research is a result of the activity developed within the framework of the Programme in Support of Excellence Groups of the Región de Murcia, Spain, by Fundación Séneca, Regional Agency for Science and Technology (Regional Plan for Science and Technology 2007–2010). C. Hugo Jiménez was partially supported by the MINECO (Spanish Ministry of Economy and Competitiveness), grant MTM2012-30748 and by Mexico's National Council for Sciences and Technology (CONACyT) postdoctoral grant 180486. | ca_CA |
dc.format.extent | 16 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.relation.isPartOf | Journal of Mathematical Analysis and Applications Volume 424, Issue 1, 1 April 2015 | ca_CA |
dc.rights | Copyright © 2016 Elsevier B.V. or its licensors or contributors. ScienceDirect ® is a registered trademark of Elsevier B.V. | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | * |
dc.subject | Mixed volumes | ca_CA |
dc.subject | Convolution bodies | ca_CA |
dc.title | Volume inequalities for the i-th-convolution bodies | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http://dx.doi.org/10.1016/j.jmaa.2014.11.033 | |
dc.rights.accessRights | info:eu-repo/semantics/restrictedAccess | ca_CA |
dc.relation.publisherVersion | http://www.sciencedirect.com/science/article/pii/S0022247X14010646 | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion |
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