147754 20250109150034.0 doi 10.1142/S021919972050011X sideral 117491 ART-2021-117491 eng Alonso-Gutiérrez, David Universidad de Zaragoza (orcid)0000-0003-1256-3671 Further inequalities for the (generalized) Wills functional 2021 Access copy available to the general public Unrestricted The Wills functional (K) of a convex body K, defined as the sum of its intrinsic volumes Vi(K), turns out to have many interesting applications and properties. In this paper, we make profit of the fact that it can be represented as the integral of a log-concave function, which, furthermore, is the Asplund product of other two log-concave functions, and obtain new properties of the Wills functional (indeed, we will work in a more general setting). Among others, we get upper bounds for (K) in terms of the volume of K, as well as Brunn-Minkowski and Rogers-Shephard-type inequalities for this functional. We also show that the cube of edge-length 2 maximizes (K) among all 0-symmetric convex bodies in John position, and we reprove the well-known McMullen''s inequality (K) = eV1(K) using a different approach. info:eu-repo/grantAgreement/ES/DGA/E26-17R info:eu-repo/grantAgreement/ES/MICINN/MTM2016-77710-P info:eu-repo/grantAgreement/ES/MICINN/PGC2018-097046-B-I00 info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 1.708 2021 MATHEMATICS 57 / 333 = 0.171 2021 Q1 T1 MATHEMATICS, APPLIED 101 / 267 = 0.378 2021 Q2 T2 1.36 2021 Mathematics (miscellaneous) 2021 Q1 Applied Mathematics 2021 Q1 2.9 2021 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Hernández Cifre, María A. Yepes Nicolás, Jesús 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 23, 3 (2021), 2050011 [35 pp.] Commun. Contemp. Math. Communications in Contemporary Mathematics 0219-1997 419219 http://zaguan.unizar.es/record/147754/files/texto_completo.pdf Postprint 1539388 http://zaguan.unizar.es/record/147754/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:147754 articulos driver 2025-01-09-14:58:58 ARTICLE