Bounds for the Normalised Jensen Functional
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Dragomir, Sever S (2006) Bounds for the Normalised Jensen Functional. Research report collection, 9 (Supp).
Abstract
New inequalities for the general case of convex functions defined on linear spaces which improve the famous Jensen’s inequality are established. Particular instances in the case of normed spaces and for complex and real n-tuples are given. Refinements of Shannon’s inequality and the positivity of Kullback-Leibler divergence are obtained.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/18012 |
| Subjects | Historical > FOR Classification > 0101 Pure Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | Jensen's inequality, convex functions |
| Citations in Scopus | 113 - View on Scopus |
| Download/View statistics | View download statistics for this item |
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