Generalizations of converse Jensen's inequality and related results (CROSBI ID 167539)
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Podaci o odgovornosti
Ivelić, Slavica ; Pečarić, Josip
engleski
Generalizations of converse Jensen's inequality and related results
In this paper we prove generalizations of Converse Jensen's inequality for convex functions defined on convex hulls. As consequences we get generalizations of the Hermite-Hadamard inequality for convex functions defined on k-simplices in R^{; ; ; ; k}; ; ; ; . We also present some related results which generalize results in [8].
Jensen's inequality; Converse Jensen's inequality; convex hull; convex functions; Hermite-Hadamard inequality; k-simplex; barycentric coordinates
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