130184 20241125101136.0 doi 10.1016/j.jmaa.2023.127122 sideral 133612 ART-2023-133612 eng Badía, F. G. Universidad de Zaragoza (orcid)0000-0002-6651-3306 Log concavity preservation by beta operator based on probability tools 2023 Access copy available to the general public Unrestricted A 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. info:eu-repo/grantAgreement/ES/AEI/PID2019-123737NB-I00 info:eu-repo/grantAgreement/ES/MINECO/PGC2018-094964-B-100 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 1.2 2023 MATHEMATICS 80 / 490 = 0.163 2023 Q1 T1 MATHEMATICS, APPLIED 140 / 332 = 0.422 2023 Q2 T2 0.816 2023 Analysis 2023 Q1 Applied Mathematics 2023 Q2 2.5 2023 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Lee, H. Sangüesa, C. Universidad de Zaragoza (orcid)0000-0002-7099-7665 2007 265 Universidad de Zaragoza Dpto. Métodos Estadísticos Área Estadís. Investig. Opera. 525, 1 (2023), 127122 [13 pp.] J. math. anal. appl. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 0022-247X 223300 http://zaguan.unizar.es/record/130184/files/texto_completo.pdf Postprint info:eu-repo/date/embargoEnd/2024-02-17 1247574 http://zaguan.unizar.es/record/130184/files/texto_completo.jpg?subformat=icon icon Postprint info:eu-repo/date/embargoEnd/2024-02-17 oai:zaguan.unizar.es:130184 articulos driver 2024-11-22-12:00:55 ARTICLE