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Some new results in summability theory

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

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.

Keywords

  • Limitation Method
  • Summation Method
  • Arbitrary Positive Number
  • Partial Summation
  • Summability Property

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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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