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2012 Superadditivity, Monotonicity, and Exponential Convexity of the Petrović-Type Functionals
Saad Ihsan Butt, Mario Krnić, Josip Pečarić
Abstr. Appl. Anal. 2012: 1-21 (2012). DOI: 10.1155/2012/123913

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.

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Saad Ihsan Butt. Mario Krnić. Josip Pečarić. "Superadditivity, Monotonicity, and Exponential Convexity of the Petrović-Type Functionals." Abstr. Appl. Anal. 2012 1 - 21, 2012. https://doi.org/10.1155/2012/123913

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1245.26012
MathSciNet: MR2922921
Digital Object Identifier: 10.1155/2012/123913

Rights: Copyright © 2012 Hindawi

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