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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
中文翻译:
Orlicz规范中差异的可牵引性
更新日期:2020-02-06
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 -dimensional unit cube with respect to Orlicz norms can exhibit both polynomial and weak tractability. In particular, we show that the -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 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,我们表明指数Orlicz空间的范数是多项式易处理的。