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On some properties of Jensen-Mercer's functional (CROSBI ID 176719)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Krnić, Mario ; Lovričević, Neda ; Pečarić, Josip On some properties of Jensen-Mercer's functional // Journal of mathematical inequalities, 6 (2012), 1; 125-139

Podaci o odgovornosti

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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Podaci o izdanju

6 (1)

2012.

125-139

objavljeno

1846-579X

Povezanost rada

Matematika

Indeksiranost