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arXiv · 2011.12251

From Ball's cube slicing inequality to Khinchin-type inequalities for negative moments

Giorgos Chasapis·Hermann König·Tomasz Tkocz
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Abstract

We establish a sharp moment comparison inequality between an arbitrary negative moment and the second moment for sums of independent uniform random variables, which extends Ball's cube slicing inequality.

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Giorgos Chasapis, Hermann König, Tomasz Tkocz. 2020-11-24. From Ball's cube slicing inequality to Khinchin-type inequalities for negative moments. https://arxiv.org/abs/2011.12251

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