Reverses of the Jensen-type inequalities for signed measures (CROSBI ID 208591)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Jakšić, Rozarija ; Pečarić, Josip ; Rodić Lipanović, Mirna
engleski
Reverses of the Jensen-type inequalities for signed measures
In this paper we derive refinements of the Jensen-type inequalities in the case of real Stieltjes measure, not necessarily positive, which are generalizations of Jensen's inequality and it's reverses for positive measures. Furthermore, we investigate the exponential and logarithmic convexity of the difference between the left-hand and the right-hand side of these inequalities and give several examples of the families of functions for which the obtained results can be applied. The outcome is a new class of Cauchy-type means.
Green function; Jensen inequality; converse of the Jensen inequality; mean value theorems; n-exponential convexity; exponential convexity; log-convexity; means
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
nije evidentirano
2014.
626359-1-626359-11
objavljeno
1085-3375
10.1155/2014/626359