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Schur-Convexity of Averages of Convex Functions (CROSBI ID 169823)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Čuljak, Vera ; Franjić, Iva ; Ghulam, Roqia ; Pečarić, Josip Schur-Convexity of Averages of Convex Functions // Journal of inequalities and applications, 2011 (2011), 581918, 25. doi: 10.1155/2011/581918

Podaci o odgovornosti

Čuljak, Vera ; Franjić, Iva ; Ghulam, Roqia ; Pečarić, Josip

engleski

Schur-Convexity of Averages of Convex Functions

The object is to give an overview of the study of Schur-convexity of various means and functions and to contribute to the subject with some new results. First, Schur-convexity of the generalized integral and weighted integral quasi-arithmetic mean is studied. Relation to some already published results is established and some applications of the extended result are given. Furthermore, Schur-convexity of functions connected to the Hermite-Hadamard inequality is investigated. Finally, some results on convexity and Schur-convexity involving divided difference are considered.

Convex functions ; Schur-convex functions ; exponential convexity ; integral means ; Hermite-Hadamard inequality

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Podaci o izdanju

2011

2011.

581918

25

objavljeno

1025-5834

1029-242X

10.1155/2011/581918

Povezanost rada

Matematika

Poveznice
Indeksiranost