Relative convexity and its applications
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| 003 | CHVBK | ||
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| 008 | 210128e20151001xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00010-014-0319-x |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00010-014-0319-x | ||
| 245 | 0 | 0 | |a Relative convexity and its applications |h [Elektronische Daten] |c [Constantin Niculescu, Ionel Rovenţa] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer Basel, 2014 | ||
| 690 | 7 | |a Convex function |2 nationallicence | |
| 690 | 7 | |a Supporting hyperplane |2 nationallicence | |
| 690 | 7 | |a Positive measure |2 nationallicence | |
| 690 | 7 | |a Doubly stochastic matrix |2 nationallicence | |
| 700 | 1 | |a Niculescu |D Constantin |u Department of Mathematics, University of Craiova, 200585, Craiova, Romania |4 aut | |
| 700 | 1 | |a Rovenţa |D Ionel |u Department of Mathematics, University of Craiova, 200585, Craiova, Romania |4 aut | |
| 773 | 0 | |t Aequationes mathematicae |d Springer Basel |g 89/5(2015-10-01), 1389-1400 |x 0001-9054 |q 89:5<1389 |1 2015 |2 89 |o 10 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00010-014-0319-x |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00010-014-0319-x |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Niculescu |D Constantin |u Department of Mathematics, University of Craiova, 200585, Craiova, Romania |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Rovenţa |D Ionel |u Department of Mathematics, University of Craiova, 200585, Craiova, Romania |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Aequationes mathematicae |d Springer Basel |g 89/5(2015-10-01), 1389-1400 |x 0001-9054 |q 89:5<1389 |1 2015 |2 89 |o 10 | ||