Abstract and Applied Analysis
Volume 2012 (2012), Article ID 123913, 21 pages
http://dx.doi.org/10.1155/2012/123913
Research Article

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

Saad Ihsan Butt,1 Mario Krnić,2 and Josip Pečarić3

1Abdus Salam School of Mathematical Sciences, GC University, Lahore, Pakistan
2Faculty of Electrical Engineering and Computing, University of Zagreb, Zagreb 10000, Croatia
3Faculty of Textile Technology, University of Zagreb, Zagreb 10000, Croatia

Received 1 December 2011; Accepted 27 February 2012

Academic Editor: Natig Atakishiyev

Copyright © 2012 Saad Ihsan Butt et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.