Reverse inequalities involving two relative operator entropies and two relative entropies
نویسندگان
چکیده
منابع مشابه
Continuity of κ-deformed entropies and relative entropies
A large class of entropy functions and corresponding relative entropies is considered. Inequalities are derived, proving continuity with respect to specific distance functions. As an application it is shown that these entropies satisfy Lesche’s continuity condition. The entropies of Tsallis’ nonextensive thermostatistics are taken as examples.
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We introduce a new class of (not necessarily convex) bodies and show, among other things, that these bodies provide yet another link between convex geometric analysis and information theory. Namely, they give geometric interpretations of the relative entropy of the cone measures of a convex body and its polar and related quantities. Such interpretations were first given by Paouris and Werner fo...
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We provide a stochastic interpretation of a result of decay of generalized relative entropies that was discovered by Michel, Mischler and Perthame
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2005
ISSN: 0024-3795
DOI: 10.1016/j.laa.2004.12.035