Abstract
Logarithmic Sobolev inequalities are closely related to another important class of inequalities in terms of the so-called supremum- and infimum-convolutions, whose advantage is that they do not require smoothness or even continuity of the functions. It is therefore not surprising that supremum- and infimum-convolution inequalities find a wide range of applications.
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Bobkov, S., Chistyakov, G., Götze, F. (2023). Supremum and Infimum Convolutions. In: Concentration and Gaussian Approximation for Randomized Sums. Probability Theory and Stochastic Modelling, vol 104. Springer, Cham. https://doi.org/10.1007/978-3-031-31149-9_8
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DOI: https://doi.org/10.1007/978-3-031-31149-9_8
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