Inequalities in Terms of the Gâteaux Derivatives for Convex Functions in Linear Spaces with Applications
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Dragomir, Sever S (2009) Inequalities in Terms of the Gâteaux Derivatives for Convex Functions in Linear Spaces with Applications. Research report collection, 12 (Supp).
Abstract
Some inequalities in terms of the Gâteaux derivatives related to Jensen's inequality for convex functions defined on linear spaces are given. Applications for norms, mean f-deviations and f-divergence measures are provided as well.
| Item type | Article |
| URI | https://vuir.vu.edu.au/id/eprint/17961 |
| Subjects | Historical > FOR Classification > 0101 Pure Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | convex functions, Gâteaux derivatives, Jensen's inequality, norms, mean f-deviations, f-divergence measures |
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