Properties of h-convex functions related to the Hermite-Hadamard-Fejer inequalities (CROSBI ID 156217)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Bombardelli, Mea ; Varošanec, Sanja
engleski
Properties of h-convex functions related to the Hermite-Hadamard-Fejer inequalities
In this paper we prove the Hermite-Hadamard-Fejer inequalities for an h-convex function and we point out the results for some special classes of functions. Also, some generalizations of the Hermite-Hadamard inequalties and some properties of functions H and F which are naturally joined to the h-convex function are given. Finally, applications on p-logarithmic mean and mean of the order p are obtained.
convex function ; h-convex function ; Hermite-Hadamard-Fejer inequalities ; mean of order p ; p-logarithmic mean
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Podaci o izdanju
58 (9)
2009.
1869-1877
objavljeno
0898-1221
1873-7668
10.1016/j.camwa.2009.07.073