Adrien Saumard

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20172026

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math.PR2017

On the isoperimetric constant, covariance inequalities and $L_{p}$ -Poincaré inequalities in dimension one

Adrien Saumard, Jon A. Wellner

Firstly, we derive in dimension one a new covariance inequality of $L_{1} - L_{\infty}$ type that characterizes the isoperimetric constant as the best constant achieving the inequali…

On the isoperimetric constant, covariance inequalities and Lp​-Poincaré inequalities in dimension one

On the isoperimetric constant, covariance inequalities and $L_{p}$ -Poincaré inequalities in dimension one