caa a22 4500 605508917 CHVBK 20210128100638.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s00010-014-0319-x doi (NATIONALLICENCE)springer-10.1007/s00010-014-0319-x Relative convexity and its applications [Elektronische Daten] [Constantin Niculescu, Ionel Rovenţa] We discuss a rather general condition under which the inequality of Jensen works for certain convex combinations of points not all in the domain of convexity of the function under attention. Based on this fact, an extension of the Hardy-Littlewood-Pólya theorem of majorization is proved and a new insight is given into the problem of risk aversion in mathematical finance. Springer Basel, 2014 Convex function nationallicence Supporting hyperplane nationallicence Positive measure nationallicence Doubly stochastic matrix nationallicence Niculescu Constantin Department of Mathematics, University of Craiova, 200585, Craiova, Romania aut Rovenţa Ionel Department of Mathematics, University of Craiova, 200585, Craiova, Romania aut Aequationes mathematicae Springer Basel 89/5(2015-10-01), 1389-1400 0001-9054 89:5<1389 2015 89 10 https://doi.org/10.1007/s00010-014-0319-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00010-014-0319-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Niculescu Constantin Department of Mathematics, University of Craiova, 200585, Craiova, Romania aut NATIONALLICENCE 700 1- Rovenţa Ionel Department of Mathematics, University of Craiova, 200585, Craiova, Romania aut NATIONALLICENCE 773 0- Aequationes mathematicae Springer Basel 89/5(2015-10-01), 1389-1400 0001-9054 89:5<1389 2015 89 10