109444 20220115145336.0 doi 10.1016/j.jmaa.2020.123875 sideral 116023 ART-2020-116023 eng Alonso Gutiérrez, David Universidad de Zaragoza (orcid)0000-0003-1256-3671 An extension of Berwald's inequality and its relation to Zhang's inequality 2020 In this note prove the following Berwald-type inequality, showing that for any integrable log-concave function f:Rn→[0, ∞)and any concave function h :L →[0, ∞), where L ={(x, t) ∈Rn×[0, ∞) :f(x) ≥e−t‖f‖∞}, then p→⎛⎝1Γ(1 +p)∫Le−tdtdx∫Lhp(x, t)e−tdtdx⎞⎠1p is decreasing in p ∈(−1, ∞), extending the range of pwhere the monotonicity is known to hold true.As an application of this extension, we will provide a new proof of a functional form of Zhang’s reverse Petty projection inequality, recently obtained in [2]. Access copy available to the general public Unrestricted info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 1.583 2020 MATHEMATICS 63 / 330 = 0.191 2020 Q1 T1 MATHEMATICS, APPLIED 109 / 265 = 0.411 2020 Q2 T2 0.95 2020 Applied Mathematics 2020 Q1 Analysis 2020 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Bernués, Julio Universidad de Zaragoza (orcid)0000-0002-1344-1425 González Merino, Bernardo 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 486, 1 (2020), 123875 1-10 J. math. anal. appl. Journal of Mathematical Analysis and Applications 0022-247X 341942 http://zaguan.unizar.es/record/109444/files/texto_completo.pdf Postprint 1241492 http://zaguan.unizar.es/record/109444/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:109444 articulos driver 2022-01-15-12:40:02 ARTICLE