engleski

Superadditivity, monotonicity and exponential convexity of the Petrovic-type functionals

In this paper 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.

Petrović-type inequality; Petrović-type functional; superadditivity; subadditivity; monotonicity; exponential convexity

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