On some properties of Jensen-Mercer's functional (CROSBI ID 176719)
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Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip
engleski
On some properties of Jensen-Mercer's functional
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.
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
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