Pinsker inequalities and related Monge-Ampere equations for log-concave functions
نویسندگان
چکیده
In this paper we further develop the theory of f-divergences for log-concave functions and their related inequalities. We establish Pinsker inequalities new affine invariant entropy obtain on functional surface area lower upper bounds Kullback-Leibler divergence in terms area. The lead to L_p-affine areas convex bodies.
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 2022
ISSN: ['1943-5258', '0022-2518', '1943-5266']
DOI: https://doi.org/10.1512/iumj.2022.71.9142