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An asymptotic relation between the extreme discrepancy and theL p -discrepancy

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Abstract

An asymptotic expression for the difference between the extreme discrepancy and theL p -discrepancy of a sequence of points in thes-dimensional unit cube (0, 1]s,s≥1, is given.

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  1. Numerical Analysis Department, M. Curie-Sklodowska University, 20-031, Lublin, Poland

    Józef Horbowicz

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  1. Józef Horbowicz
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Horbowicz, J. An asymptotic relation between the extreme discrepancy and theL p -discrepancy. Monatshefte für Mathematik 90, 297–301 (1980). https://doi.org/10.1007/BF01540848

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  • DOI: https://doi.org/10.1007/BF01540848

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