On the refinements of the Jensen-Steffensen inequality (CROSBI ID 174443)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Franjić, Iva ; Khalid, Sadia ; Pečarić, Josip
engleski
On the refinements of the Jensen-Steffensen inequality
In this paper, we extend some old and give some new refinements of the Jensen-Steffensen inequality. Further, we investigate the log-convexity and the exponential convexity of functionals defined via 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.
Jensen-Steffensen inequality; refinements; exponential and logarithmic convexity; mean value theorems
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
nije evidentirano
2011.
12-1-12-11
objavljeno
1029-242X
10.1186/1029-242X-2011-12
Povezanost rada
Matematika