Gaussian log-Sobolev bound for exponentials of Lipschitz functions: $\mathrm{Ent}_\gamma(e^{sf})\le\frac{s^2L^2}{2}\,\mathbb{E}_\gamma e^{sf}$

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Gaussian log-Sobolev bound for exponentials of Lipschitz functions: $\mathrm{Ent}_\gamma(e^{sf})\le\frac{s^2L^2}{2}\,\mathbb{E}_\gamma e^{sf}$ · Prove2Me