… convolution preserves the class of Rényi entropy maximisers, and in Theorem 2.4 show that
it satisfies a version of the entropy power inequality… a direct application of Hölder’s inequality …

… the Rényi entropy functional and to derive from it inequalities … To our knowledge, the first
application of this idea can be … Shannon entropy power (25), which deals with convolutions, …

… the Rényi Entropy Power Inequality (EPI) recently obtained in [11]. The proof largely follows
the approach in [18] of employing Young’s convolution inequalities … In the following, we apply …

… 2.4], a sort of an R-EPI for the Rényi entropy of order α ≥ 1 has been derived with some
analogy to the classical EPI; this inequality, however, does not apply the usual convolution …

… We present a convolution inequality for Renyi's entropies. An example of … In this paper,
we show that a convolution inequality on the Shannon entropy (the entropy power inequality) …

… We show that the Rényi entropy power of general probability … inequality for Shannon’s
entropy power to Rényi entropies. … The computation of the limit value uses in a substantial way …

… -Young convolution inequality is applied and coupled with the monotonicity of Rényi entropy
… we can rewrite the above and apply the inequality 8 while again making use of homogeneity…

… ’s entropy and of the Renyi entropy of order 0 [16]. The monotonicity here leads to the entropy
power inequality of … To our knowledge, the first application of this idea can be found in two …

… We investigate the Rényi entropy of sums of independent integer-valued random … applications,
we prove that a discrete “min-entropy power” is superadditive with respect to convolution …

… random variables are mixed by applying the convolution operation to the probability …
help achieve a recent result of the modified breakthrough of Young's convolution inequality. …