Tractability properties of the discrepancy in Orlicz norms

Dick Josef; Hinrichs Aicke; Pillichshammer Friedrich; Prochno Joscha

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Tractability properties of the discrepancy in Orlicz norms

机译：orlicz规范中差异的疏散性特性

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摘要

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 psi(alpha)-norms of exponential Orlicz spaces are polynomially tractable. (C) 2020 Elsevier Inc. All rights reserved.

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《Journal of complexity》 |2020年第12期|101468.1-101468.9|共9页
作者
Dick Josef; Hinrichs Aicke; Pillichshammer Friedrich; Prochno Joscha;
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作者单位

Univ New South Wales Sch Math & Stat Sydney NSW 2052 Australia;

Univ Linz Inst Anal Altenbergerstr 69 A-4040 Linz Austria;

Univ Linz Inst Finanzmath & Angew Zahlentheorie Altenbergerstr 69 A-4040 Linz Austria;

Karl Franzens Univ Graz Inst Math & Wissensch Rechnen Heinrichstr 36 A-8010 Graz Austria;

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正文语种 eng
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关键词
Discrepancy; Orlicz norm; Tractability; Quasi-Monte Carlo;

机译：差异;Orlicz常态;途径;准蒙特卡罗;

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机译：均匀的非L（n）（（1）），局部均匀的非L（n）（（1））和非-1（1））和非L（1））属性在orlicz-bochner函数空间中赋予orlicz规范
2. lambda property for Bochner-Orlicz sequence spaces with Orlicz norm [J] . Shi ZR, Xie LS Taiwanese journal of mathematics . 2008,第5期

机译：具有Orlicz范数的Bochner-Orlicz序列空间的lambda属性
3. Some Geometric Properties in Orlicz Sequence Spaces Equipped with Orlicz Norm [J] . Yunan Cui, Henryk Hudzik, Marian Nowak, Journal of convex analysis . 1999,第1期

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4. Inclusion Properties of Orlicz Spaces and Weak Orlicz Spaces Generated by Concave Functions [C] . M Taqiyuddin, A A Masta Annual Applied Science and Engineering Conference . 2018

机译：凹入函数产生的orlicz空间和弱的orlicz空间的包含属性
5. Property rights, social norms and the law: A natural law theory of property. [D] . Smith, Matthew Noah. 2004

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6. The Bennett-Orlicz Norm [O] . Jon A. Wellner -1

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7. Kadec–Klee properties of Orlicz–Lorentz sequence spaces equipped with the Orlicz norm [O] . Yunan Cui, Paweł Foralewski, Henryk Hudzik, 2021

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Tractability properties of the discrepancy in Orlicz norms

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