27 research outputs found

    Some Refinements of Relative Information Inequality

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    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

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    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

    More on operator Bellman inequality

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