Bounds of generalized relative operator entropies
نویسندگان
چکیده
منابع مشابه
Displacement convexity of generalized relative entropies. II
We introduce a class of generalized relative entropies (inspired by the Bregman divergence in information theory) on the Wasserstein space over a weighted Riemannian or Finsler manifold. We prove that the convexity of all the entropies in this class is equivalent to the combination of the non-negative weighted Ricci curvature and the convexity of another weight function used in the definition o...
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ژورنال
عنوان ژورنال: Mathematical Inequalities & Applications
سال: 2017
ISSN: 1331-4343
DOI: 10.7153/mia-2017-20-68