On some properties of Jensen-Mercer's functional
| Autor: | Mario Krnić, Neda Lovričević, Josip Pečarić |
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| Rok vydání: | 2012 |
| Předmět: |
Pure mathematics
Superadditivity Calculus Monotonic function State (functional analysis) inequalities convex functions Jensen's functional Jensen-Mercer's inequality Jensen-Mercer's functional Jensen-Steffensen's inequality superadditivity monotonicity Jensen-Steffensen's integral inequality Convex function Analysis Mathematics |
| Zdroj: | Journal of Mathematical Inequalities. :125-139 |
| ISSN: | 1846-579X |
| DOI: | 10.7153/jmi-06-13 |
| Popis: | Motivated by results of S.S. Dragomir, J.E. Pečarić and L.E. Persson, related to superadditivity and monotonicity of discrete Jensen's functional, in this paper we consider Jensen-Mercer's functional, for which we state and prove analogues results. In particular, these results are obtained for Jensen-Mercer's functional under Jensen-Steffensen's conditions. Integral versions are also given. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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