27 research outputs found
Some Refinements of Relative Information Inequality
In this note, using some refinements of Jensen’s discrete inequality,
we give some new refinements of Kullback-Leibler’s relative information
inequality
More on operator Bellman inequality
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 re ne the Jensen's operator inequality and use it for obtaining a re nement of the Bellman operator inequality.Keywords: Bellman inequality, operator mean, operator concavity, positive linear functional, Jensen's inequalityQuaestiones Mathematicae 37(2014), 9-1