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Beiträge zur Diskrepanz bezüglich gewichteter Mittel

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Abstract

This paper contains results on the discrepancy of sequences with respect to weighted means. Upper and lower bounds for this discrepancy are established. A metric theorem which extends a classical result of Erdös and Koksma is shown. Applications to numerical integration are presented.

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Authors and Affiliations

  1. Kommission für Mathematik Österreichische Akademie der, Wissenschaften Dr. Ignaz-Seipel-Platz 2, A-1010, Wien, Österreich

    Harald Niederreiter

  2. Abteilung für Technische Mathematik Technische Universität, Gußhausstraße 27-29, A-l040, Wien, Österreich

    Robert F. Tichy

Authors
  1. Harald Niederreiter
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  2. Robert F. Tichy
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Niederreiter, H., Tichy, R.F. Beiträge zur Diskrepanz bezüglich gewichteter Mittel. Manuscripta Math 42, 85–99 (1983). https://doi.org/10.1007/BF01171749

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  • DOI: https://doi.org/10.1007/BF01171749

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