000109444 001__ 109444
000109444 005__ 20220115145336.0
000109444 0247_ $$2doi$$a10.1016/j.jmaa.2020.123875
000109444 0248_ $$2sideral$$a116023
000109444 037__ $$aART-2020-116023
000109444 041__ $$aeng
000109444 100__ $$0(orcid)0000-0003-1256-3671$$aAlonso Gutiérrez, David$$uUniversidad de Zaragoza
000109444 245__ $$aAn extension of Berwald's inequality and its relation to Zhang's inequality
000109444 260__ $$c2020
000109444 5060_ $$aAccess copy available to the general public$$fUnrestricted
000109444 5203_ $$aIn 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].
000109444 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000109444 590__ $$a1.583$$b2020
000109444 591__ $$aMATHEMATICS$$b63 / 330 = 0.191$$c2020$$dQ1$$eT1
000109444 591__ $$aMATHEMATICS, APPLIED$$b109 / 265 = 0.411$$c2020$$dQ2$$eT2
000109444 592__ $$a0.95$$b2020
000109444 593__ $$aApplied Mathematics$$c2020$$dQ1
000109444 593__ $$aAnalysis$$c2020$$dQ1
000109444 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000109444 700__ $$0(orcid)0000-0002-1344-1425$$aBernués, Julio$$uUniversidad de Zaragoza
000109444 700__ $$aGonzález Merino, Bernardo
000109444 7102_ $$12006$$2015$$aUniversidad de Zaragoza$$bDpto. Matemáticas$$cÁrea Análisis Matemático
000109444 773__ $$g486, 1 (2020), 123875 1-10$$pJ. math. anal. appl.$$tJournal of Mathematical Analysis and Applications$$x0022-247X
000109444 8564_ $$s341942$$uhttps://zaguan.unizar.es/record/109444/files/texto_completo.pdf$$yPostprint
000109444 8564_ $$s1241492$$uhttps://zaguan.unizar.es/record/109444/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000109444 909CO $$ooai:zaguan.unizar.es:109444$$particulos$$pdriver
000109444 951__ $$a2022-01-15-12:40:02
000109444 980__ $$aARTICLE