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Open Access Research Article

Some Reverses of the Jensen Inequality for Functions of Selfadjoint Operators in Hilbert Spaces

SS Dragomir

Author Affiliations

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:10.1155/2010/496821

Published: 26 May 2010

Abstract

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.