×

zbMATH — the first resource for mathematics

On some properties of Jensen-Mercer’s functional. (English) Zbl 1241.26015
Summary: Motivated by results of S.S. Dragomir, J.E. Pečarić and L.E. Persson, related to superadditivity and monotonicity of discrete Jensen’s functionals, in this paper we consider Jensen-Mercer’s functional, for which we state and prove analogous results. In particular, these results are obtained for Jensen-Mercer’s functional under Jensen-Steffensen’s conditions. Integral versions are also given.

MSC:
26D10 Inequalities involving derivatives and differential and integral operators
26A51 Convexity of real functions in one variable, generalizations
PDF BibTeX XML Cite
Full Text: DOI Link