Original Articles

More on operator Bellman inequality

Published in: Quaestiones Mathematicae
Volume 37 , issue 1 , 2014 , pages: 9–17

DOI: 10.2989/16073606.2013.779965

Author(s): F. Mirzapour Department of Mathematics, Faculty of Sciences, Iran , A. Morassaei Department of Mathematics, Faculty of Sciences, Iran , M.S. Moslehian Department of Pure Mathematics, Center of Excellence in Analysis on Algebraic Structures (CEAAS), Iran

Keywords: Bellman inequality , operator mean , operator concavity , positive linear functional , Jensen's inequality , Bellman inequality , operator mean , operator concavity , positive linear functional , Jensen's inequality

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Abstract

We present a Bellman inequality involving operator means for operators acting on a Hilbert space. We also give some Bellman inequalities concerning sesquilinear forms. Finally, we refine the Jensen's operator inequality and use it for obtaining a refinement of the Bellman operator inequality.

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