Rényi entropy power inequality and a reverse
نویسندگان
چکیده
منابع مشابه
Rényi entropy power inequality and a reverse
This paper is twofold. In the first part, we derive an improvement of the Rényi Entropy Power Inequality (EPI) recently obtained by Bobkov and Marsiglietti [10]. The proof largely follows Lieb’s [22] approach of employing Young’s inequality. In the second part, we prove a reverse Rényi EPI, that verifies a conjecture proposed in [4, 23] in two cases. Connections with various p-th mean bodies in...
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ژورنال
عنوان ژورنال: Studia Mathematica
سال: 2018
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm170521-5-8