Some Reverses of the Jensen Inequality for Functions of Selfadjoint Operators in Hilbert Spaces
Mathematics, School of Engineering & Science, Victoria University, P.O. Box 14428, Melbourne, MC 8001, Australia
School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Johannesburg 2050, South Africa
Journal of Inequalities and Applications 2010, 2010:496821 doi:10.1155/2010/496821Published: 26 May 2010
Some reverses of the Jensen inequality for functions of self-adjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given. Applications for particular cases of interest are also provided.