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Psi-entropy inequalities for measurements of Bernoulli and measurements of Gaussian.

Ali Hafidi


The main objective of this work is to establish psi-entropy inequality for the Gaussian measure, which are intended to cover the inequality of Poincare and logarithmic Sobolev inequality.


inequality of Poincare and logarithmic Sobolev inequality, the properties of tensoring, central limit theorem, psi-Entropy and psi-entropy inequalities.

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