Refinement of Jensen’s inequality for operator convex functions
Abstract
In this paper, we give a refinement of discrete Jensen’s inequality for the operator convex functions. We launch the corresponding mixed symmetric means for positive self-adjoint operators defined on Hilbert space and also establish the refinement of inequality between power means of strictly positive operators.
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L. Horvath, K.A. Khan, J. Pecaric, Refinement of Jensen’s inequality for operator convex functions, Adv. Inequal. Appl., 2014 (2014), Article ID 26
Copyright © 2014 L. Horvath, K.A. Khan, J. Pecaric. 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.