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Hermite-Hadamard’s type inequalities for operator convex functions
Authors:S.S. Dragomir
Affiliation:Mathematics, 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-2050, Johannesburg, South Africa
Abstract:Some Hermite-Hadamard’s type inequalities for operator convex functions of selfadjoint operators in Hilbert spaces are given. Applications for particular cases of interest are also provided.
Keywords:Selfadjoint operators   Positive operators   Hermite-Hadamard&rsquo  s inequality   Operator convex functions   Functions of selfadjoint operators
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