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Generalizations of converse Jensen's inequality and related results (CROSBI ID 167539)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Ivelić, Slavica ; Pečarić, Josip Generalizations of converse Jensen's inequality and related results // Journal of mathematical inequalities, 5 (2011), 1; 43-60

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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Podaci o izdanju

5 (1)

2011.

43-60

objavljeno

1846-579X

Povezanost rada

Građevinarstvo, Matematika

Indeksiranost