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Some new results in summability theory

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Number-Theoretic Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1452))

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Abstract

The main part of this paper deals with limitibility properties of weakly dependent uniformly bounded random variables with respect to weighted means and a uniform weighted limitation method. In the next part a weighted Le-Roy-limitation method is introduced and discussed. For example it is shown that every Mp-limitable sequence is limitable with respect to the weighted Le-Roy method.

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References

  1. Burg, Th., “Gleichverteilung bez glich allgemeiner Limitierungsverfahren,” Diplomarbeit at the Technical University of Vienna, 1989.

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Author information

Authors and Affiliations

  1. Ziehrerplatz 8/2/4, A-1030, Vienna, Austria

    Thomas B. Burg

  2. Department for Discrete Mathematics, Technical University of Vienna, Wiedner Hauptstrasse 8-10/118, A-1040, Vienna, Austria

    Michael Drmota

  3. Department for Technical Mathematics, Technical University of Vienna, Wiedner Hauptstrasse 8-10/114, A-1040, Vienna, Austria

    Robert F. Tichy

Authors
  1. Thomas B. Burg
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  2. Michael Drmota
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  3. Robert F. Tichy
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Editor information

Edmund Hlawka Robert F. Tichy

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© 1990 Springer-Verlag

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Burg, T.B., Drmota, M., Tichy, R.F. (1990). Some new results in summability theory. In: Hlawka, E., Tichy, R.F. (eds) Number-Theoretic Analysis. Lecture Notes in Mathematics, vol 1452. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096978

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  • DOI: https://doi.org/10.1007/BFb0096978

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53408-2

  • Online ISBN: 978-3-540-46864-6

  • eBook Packages: Springer Book Archive

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