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Asymptotic FitzGerald inequalities

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Commentarii Mathematici Helvetici

Abstract

In this article we use the asymptotic behavior of the positive semi-definite FitzGerald matrix to get by elementary means Hayman's Regularity Theorem and a sharpening of an approximation theorem of Lebedev. Moreover we show that there is an absolute constantn 0 such that for anyf=z+a 2 z 2+...∈S with |a 2|<1.78 we have|a n |<n for alln>n 0.

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Authors and Affiliations

  1. Forschungsinstitut für Mathematik, ETH, Zürich

    Daoud Bshouty & Walter Hengartner

Authors
  1. Daoud Bshouty
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  2. Walter Hengartner
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Additional information

Dedicated to Professor Albert Pfluger on his seventieth birthday

This research was supported in part by the National Research Council of Canada A-7339 and the Forschungsinstitut für Mathematik der E.T.H., Zürich.

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Bshouty, D., Hengartner, W. Asymptotic FitzGerald inequalities. Commentarii Mathematici Helvetici 53, 228–238 (1978). https://doi.org/10.1007/BF02566075

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  • DOI: https://doi.org/10.1007/BF02566075

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