On the refinements of the integral Jensen-Steffensen inequality (CROSBI ID 196918)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Khalid, Sadia ; Pečarić, Josip
engleski
On the refinements of the integral Jensen-Steffensen inequality
In this paper, we present integral versions of some recently proved results which refine the Jensen-Steffensen inequality. We prove the n- exponential convexity and log-convexity of the functions associated with the linear functionals constructed from the refined inequalities and also prove the monotonicity property of the generalized Cauchy means. Finally, we give several examples of the families of functions for which the results can be applied.
convex function ; Jensen-Steffensen weighted integral inequality ; n-exponential and logarithmic convexity ; mean value theorems ; divided difference
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Podaci o izdanju
2013
2013.
20
18
objavljeno
1025-5834
1029-242X
10.1186/1029-242X-2013-20