79510 20191122145057.0 doi 10.1007/s12220-017-9858-4 sideral 98820 ART-2018-98820 eng (orcid)0000-0003-1256-3671 Alonso Gutiérrez, David Universidad de Zaragoza John's ellipsoid and the integral ratio of a log-concave function 2018 Access copy available to the general public Unrestricted We extend the notion of John’s ellipsoid to the setting of integrable logconcave functions. This will allow us to define the integral ratio of a log-concave function, which will extend the notion of volume ratio, and we will find the log-concave function maximizing the integral ratio. A reverse functional affine isoperimetric inequality will be given, written in terms of this integral ratio. This can be viewed as a stability version of the functional affine isoperimetric inequality. info:eu-repo/grantAgreement/ES/MICINN/MTM2013-42105-P info:eu-repo/grantAgreement/ES/MICINN/MTM2016-77710-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 0.959 2018 MATHEMATICS 103 / 313 = 0.329 2018 Q2 T1 1.62 2018 Geometry and Topology 2018 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion González Merino, Bernardo Jiménez, Carlos Hugo Villa Rafael 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 28, 2 (2018), 1182-1201 J. geom. anal. JOURNAL OF GEOMETRIC ANALYSIS 1050-6926 341986 http://zaguan.unizar.es/record/79510/files/texto_completo.pdf Postprint 69690 http://zaguan.unizar.es/record/79510/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:79510 articulos driver 2019-11-22-14:46:53 ARTICLE