Schur-Convexity of Averages of Convex Functions (CROSBI ID 169823)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
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