
doi: 10.1155/2015/919470
The paper deals with convex sets, functions satisfying the global convexity property, and positive linear functionals. Jensen's type inequalities can be obtained by using convex combinations with the common center. Following the idea of the common center, the functional forms of Jensen's inequality are considered in this paper.
convex set, Convex sets in topological linear spaces; Choquet theory, Convex sets without dimension restrictions (aspects of convex geometry), unit equality, Convex functions and convex programs in convex geometry, positive linear functional, QA1-939, Jensen's inequality, positive linear functional; unit equality; simplex, simplex, Mathematics
convex set, Convex sets in topological linear spaces; Choquet theory, Convex sets without dimension restrictions (aspects of convex geometry), unit equality, Convex functions and convex programs in convex geometry, positive linear functional, QA1-939, Jensen's inequality, positive linear functional; unit equality; simplex, simplex, Mathematics
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 0 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Average | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
