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From Ball's cube slicing inequality to Khinchin-type inequalities for negative moments
Journal of Functional Analysis ( IF 1.7 ) Pub Date : 2021-07-16 , DOI: 10.1016/j.jfa.2021.109185 Giorgos Chasapis 1 , Hermann König 2 , Tomasz Tkocz 1
中文翻译:
从 Ball 的立方体切片不等式到负矩的 Khinchin 型不等式
更新日期:2021-07-24
Journal of Functional Analysis ( IF 1.7 ) Pub Date : 2021-07-16 , DOI: 10.1016/j.jfa.2021.109185 Giorgos Chasapis 1 , Hermann König 2 , Tomasz Tkocz 1
Affiliation
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.
中文翻译:
从 Ball 的立方体切片不等式到负矩的 Khinchin 型不等式
我们在任意负矩和独立均匀随机变量的总和的二阶矩之间建立了一个尖锐的矩比较不等式,这扩展了球的立方体切片不等式。