000130184 001__ 130184 000130184 005__ 20241125101136.0 000130184 0247_ $$2doi$$a10.1016/j.jmaa.2023.127122 000130184 0248_ $$2sideral$$a133612 000130184 037__ $$aART-2023-133612 000130184 041__ $$aeng 000130184 100__ $$0(orcid)0000-0002-6651-3306$$aBadía, F. G.$$uUniversidad de Zaragoza 000130184 245__ $$aLog concavity preservation by beta operator based on probability tools 000130184 260__ $$c2023 000130184 5060_ $$aAccess copy available to the general public$$fUnrestricted 000130184 5203_ $$aA number of papers have dealt with the preservation of log convexity and log concavity based on various operators. For instance, in Badía and Sangüesa [10], the preservation of log convexity and log concavity under Bernstein operators was discussed based on some characteristics of a stochastic process. However, regarding beta-type operators, the preservation of log concavity does not hold based on such a probabilistic method used in Badía and Sangüesa [10]. In this study, we explore the preservation of log concavity for the beta operator using alternative probabilistic tools. Notably, we show results on the preservation of log concavity for monotone log concave functions. Further, some results of application to some specific functions, ageing classes of the deterioration Dirichlet process, related operators and order statistics are provided. 000130184 536__ $$9info:eu-repo/grantAgreement/ES/AEI/PID2019-123737NB-I00$$9info:eu-repo/grantAgreement/ES/MINECO/PGC2018-094964-B-100 000130184 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000130184 590__ $$a1.2$$b2023 000130184 592__ $$a0.816$$b2023 000130184 591__ $$aMATHEMATICS$$b80 / 490 = 0.163$$c2023$$dQ1$$eT1 000130184 593__ $$aAnalysis$$c2023$$dQ1 000130184 591__ $$aMATHEMATICS, APPLIED$$b140 / 332 = 0.422$$c2023$$dQ2$$eT2 000130184 593__ $$aApplied Mathematics$$c2023$$dQ2 000130184 594__ $$a2.5$$b2023 000130184 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000130184 700__ $$aLee, H. 000130184 700__ $$0(orcid)0000-0002-7099-7665$$aSangüesa, C.$$uUniversidad de Zaragoza 000130184 7102_ $$12007$$2265$$aUniversidad de Zaragoza$$bDpto. Métodos Estadísticos$$cÁrea Estadís. Investig. Opera. 000130184 773__ $$g525, 1 (2023), 127122 [13 pp.]$$pJ. math. anal. appl.$$tJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS$$x0022-247X 000130184 8564_ $$s223300$$uhttps://zaguan.unizar.es/record/130184/files/texto_completo.pdf$$yPostprint$$zinfo:eu-repo/semantics/openAccess 000130184 8564_ $$s1247574$$uhttps://zaguan.unizar.es/record/130184/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint$$zinfo:eu-repo/semantics/openAccess 000130184 909CO $$ooai:zaguan.unizar.es:130184$$particulos$$pdriver 000130184 951__ $$a2024-11-22-12:00:55 000130184 980__ $$aARTICLE