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On some contributions of Halasz to the turan power-sum theory

Approximation Theory

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1354)

Abstract

Still more precise results can be obtained. These require more detailed arguments which will be presented elsewhere. In this paper we have increased noticeably the lower bounds in some of Halász's contributions to Turán's power-sum theory. In doing so, our objective has been to follow the book's methodology, to provide estimates of the same form and of the same simplicity.

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References

  1. Konrad Knopp, Theory and Application of Infinite Series, English translation (second ed.), Blackie, London, 1966.

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  2. Paul Turán, On a New Method of Analysis and its Applications, John Wiley & Sons, New York, 1984.

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© 1988 Springer-Verlag

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Lorch, L., Russell, D. (1988). On some contributions of Halasz to the turan power-sum theory. In: Gómez-Fernandez, J.A., Guerra-Vázquez, F., López-Lagomasino, G., Jiménez-Pozo, M.A. (eds) Approximation and Optimization. Lecture Notes in Mathematics, vol 1354. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089594

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  • DOI: https://doi.org/10.1007/BFb0089594

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50443-6

  • Online ISBN: 978-3-540-46005-3

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