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arXiv · 1010.5043

Optimal Weighted Poincar\'e and Log-Sobolev Inequalities for Cauchy Measures

Zhengliang Zhang·Bin Qian·Wei Liu
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Abstract

In this paper, We establish the weighted Poincar\'{e} inequalities and Log-Sobolev inequalities for Cauchy distributions with optimal weight functions.

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Zhengliang Zhang, Bin Qian, Wei Liu. 2010-10-25. Optimal Weighted Poincar\'e and Log-Sobolev Inequalities for Cauchy Measures. https://arxiv.org/abs/1010.5043

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