Quasilinearity of some functionals associated with monotonic convex functions
School of Engineering & Science, Victoria University, P.O. Box 14428, Melbourne City, MC 8001, Australia
School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Wits, P.O. Box 14428, Johannesburg, 2050, South Africa
Journal of Inequalities and Applications 2012, 2012:276 doi:10.1186/1029-242X-2012-276Published: 28 November 2012
Some quasilinearity properties of composite functionals generated by monotonic and convex/concave functions and their applications in improving some classical inequalities such as the Jensen, Hölder and Minkowski inequalities are given.