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, issue 1

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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https://doi.org/10.1155/2012/123913

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:123913

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