We consider functionals derived from Petrović-type inequalities and establish their superadditivity, subadditivity, and monotonicity properties on the corresponding real n-tuples. By virtue of established results we also define some related functionals and investigate their properties regarding exponential convexity. Finally, the general results are then applied to some particular settings.
"Superadditivity, Monotonicity, and Exponential Convexity of the Petrović-Type Functionals." Abstr. Appl. Anal. 2012 1 - 21, 2012. https://doi.org/10.1155/2012/123913