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arXiv · 2605.07411

A note on the equivalence of super-Poincar\'e inequality

Xin Chen·Qiuchen Yang
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Abstract

In this paper we will study the equivalence between super-Poincar\'e inequality and some log-Sobolev type inequalities, including weak log-Sobolev inequality and super log-Sobolev inequality. The explicit relations between associated rate functions will also be established.

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Xin Chen, Qiuchen Yang. 2026-05-08. A note on the equivalence of super-Poincar\'e inequality. https://arxiv.org/abs/2605.07411

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