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Bemerkung Zu Einem Lemma Aus Der Variationsrechnung

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1114)

Abstract

In a previous paper of this book E. Hlawka proves a discrete analogon — involving uniformly distributed sequences — of the Lemma of Du Bois-Reymond, which is often used in variational calculus. In the present note a generalization of Hlawka’s result to higher dimensions is given.

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Literatur

  1. P. Funk, Variationsrechung und ihre Anwendung auf Physik und Technik, Springer Verlag, Berlin, 1962.

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  2. E. Hlawka, Theorie der Gleichverteilung, Bibl.Inst., Mannheim-Wien-Zürich, 1979.

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  3. E. Hlawka, Bemerkung zum Lemma von Du Bois-Reymond, Lecture Notes in Math. (Zahlentheoretischen Analysis), vorliegender Band.

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  4. L. Kuipers und H. Niederreiter, Uniform distribution of sequences, John Wiley and Sons, New York, 1974.

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  5. H. Niederreiter und R. F. Tichy, Beiträge zur Diskrepanz bezüglich gewichteter Mittel, manuscripta math. 42 (1983), 85–99.

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© 1985 Springer-Verlag

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Tichy, R.F. (1985). Bemerkung Zu Einem Lemma Aus Der Variationsrechnung. In: Hlawka, E. (eds) Zahlentheoretische Analysis. Lecture Notes in Mathematics, vol 1114. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101654

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  • DOI: https://doi.org/10.1007/BFb0101654

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15189-0

  • Online ISBN: 978-3-540-39281-1

  • eBook Packages: Springer Book Archive