The Concavity of Generalized Entropy Powers
نویسندگان
چکیده
In this note we introduce a new family of entropy powers which are related to generalized entropies, called Sharma-Mittal and prove their concavity along diffusion processes generated by $L^{2}$ -Wasserstein gradient flows corresponding functionals. This result extends the Savaré Toscani (2014) on Rényi reveals connection power inequalities Bobkov Marsiglietti (2017).
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2022
ISSN: ['0018-9448', '1557-9654']
DOI: https://doi.org/10.1109/tit.2022.3181379