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Tractability properties of the discrepancy in Orlicz norms
Journal of Complexity ( IF 1.7 ) Pub Date : 2020-02-06 , DOI: 10.1016/j.jco.2020.101468
Josef Dick , Aicke Hinrichs , Friedrich Pillichshammer , Joscha Prochno

We show that the minimal discrepancy of a point set in the d-dimensional unit cube with respect to Orlicz norms can exhibit both polynomial and weak tractability. In particular, we show that the ψα-norms of exponential Orlicz spaces are polynomially tractable.



中文翻译:

Orlicz规范中差异的可牵引性

我们证明了在 d关于Orlicz范数的三维单位立方可以同时显示多项式和易处理性。特别是,我们表明ψα指数Orlicz空间的范数是多项式易处理的。

更新日期:2020-02-06
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