Superadditivity, Monotonicity, and Exponential Convexity of the Petrović-Type Functionals

Saad Ihsan Butt, Mario Krnić and Josip Pečarić

Abstract and Applied Analysis, 2012, vol. 2012, 1-21

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:123913

DOI: 10.1155/2012/123913

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