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Zur Konvergenz derL n -Diskrepanz gegen die extreme Diskrepanz

On the rate of convergence of theL n -discrepancy to the extreme discrepancy

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Abstract

This paper gives bounds for the rate of convergence of theL n -discrepancy of a sequence of points of thes-dimensional space ℝs (s∈ℕ. Further, a formula to calculate theL n -discrepancy for even numbersn is given.

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Authors and Affiliations

  1. Mathematisches Institut, Universität Salzburg, Petersbrunnstraße 19, A-5020, Salzburg, Österreich

    Peter Hellekalek

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  1. Peter Hellekalek
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Hellekalek, P. Zur Konvergenz derL n -Diskrepanz gegen die extreme Diskrepanz. Monatshefte für Mathematik 88, 1–6 (1979). https://doi.org/10.1007/BF01305853

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  • DOI: https://doi.org/10.1007/BF01305853

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