57935 20210121114501.0 doi 10.1016/j.jmaa.2014.11.033 sideral 97163 ART-2015-97163 eng (orcid)0000-0003-1256-3671 Alonso Gutiérrez, David Universidad de Zaragoza Volume inequalitites for the i-th convolution bodies 2015 Access copy available to the general public Unrestricted 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)-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. info:eu-repo/grantAgreement/ES/MICINN/MTM2009-10418 info:eu-repo/grantAgreement/ES/MICINN/MTM2010-16679 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 1.014 2015 MATHEMATICS 56 / 312 = 0.179 2015 Q1 T1 MATHEMATICS, APPLIED 88 / 254 = 0.346 2015 Q2 T2 1.15 2015 Applied Mathematics 2015 Q1 Analysis 2015 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/submittedVersion González, Bernardo Jiménez, Carlos Hugo 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 424 (2015), 385-401 J. math. anal. appl. Journal of Mathematical Analysis and Applications 0022-247X 211107 http://zaguan.unizar.es/record/57935/files/texto_completo.pdf Preprint 62332 http://zaguan.unizar.es/record/57935/files/texto_completo.jpg?subformat=icon icon Preprint oai:zaguan.unizar.es:57935 articulos driver 2021-01-21-10:51:38 ARTICLE