Refinement of Jensen’s inequality for operator convex functions

L. Horvath, K.A. Khan, J. Pecaric

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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Published: 2014-05-06

How to Cite this Article:

L. Horvath, K.A. Khan, J. Pecaric, Refinement of Jensen’s inequality for operator convex functions, Advances in Inequalities and Applications, Vol 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.

Advances in Inequalities and Applications

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