Some extensions of the operator entropy type inequalities |
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Authors: | Mojtaba Bakherad |
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Affiliation: | Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan , Zahedan, Iran. |
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Abstract: | In this paper, we define the generalised relative operator entropy and investigate some of its properties such as subadditivity and homogeneity. As application of our result, we obtain the information inequality. In continuation, we establish some reverses of the operator entropy inequalities under certain conditions by using the Mond–Pe?ari? method. |
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Keywords: | Operator entropy operator monotone function Bochner integration entropy inequality positive linear map |
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