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Advances in Inequalities and Applications ISSN 2050-7461

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Adv. Inequal. Appl. 2014 (2014), Article ID 26

Refinement of Jensen’s inequality for operator convex functions

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

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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.

Published
6 May 2014
Volume
2014 (2014)
License
CC BY 3.0

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.

Cite this article

L. Horvath, K. A. Khan, J. Pecaric, Refinement of Jensen’s inequality for operator convex functions, Adv. Inequal. Appl. 2014 (2014), 26.

BibTeX
@article{Horvath2014,
  author  = {Horvath, L. and Khan, K.A. and Pecaric, J.},
  title   = {Refinement of Jensen’s inequality for operator convex functions},
  journal = {Adv. Inequal. Appl.},
  volume  = {2014},
  year    = {2014},
  pages   = {26},
  doi     = {}
}