## Uniform estimates for averages of order statistics of matrices.(English)Zbl 1318.62153

Summary: We prove uniform estimates for the expected value of averages of order statistics of matrices interms of their largest entries. As an application, we obtain similar probabilistic estimates for $$\ell_p$$ norms via real interpolation.

### MSC:

 62G30 Order statistics; empirical distribution functions 60E15 Inequalities; stochastic orderings 05A20 Combinatorial inequalities
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