On the refinements of the Hermite Hadamard inequality (CROSBI ID 196900)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Khalid, Sadia ; Pečarić, Josip
engleski
On the refinements of the Hermite Hadamard inequality
In this paper, we present some refinements of the classical Hermite-Hadamard integral inequality for convex functions. Further, we give the concept of n-exponential convexity and log-convexity of the functions associated with the linear functionals defined by these inequalities and prove monotonicity property of the generalized Cauchy means obtained via these functionals. Finally, we give several examples of the families of functions for which the results can be applied.
Hermite-Hadamard inequality ; refinements ; n-exponential and logarithmic convexity ; mean value theorems
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Podaci o izdanju
2012
2012.
155
14
objavljeno
1025-5834
1029-242X
10.1186/1029-242X-2012-155