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Bounds for Trigonometric Polynomials

  • Theodore J. Rivlin
Part of the International Series of Numerical Mathematics book series (ISNM, volume 30)

Abstract

Two methods for finding the maximum and minimum of a given trigonometric polynomial are described and studied. They are then applied to randomly generated polynomials. The resulting data suggest that one of the methods is superior to the other.

Keywords

Error Bound Random Number Generator Absolute Magnitude Trigonometric Polynomial General Remark 
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

  1. 1.
    Ehlich, II., and K. Zeller, Schwankung von Polynomen zwischen Gitterpunkten, Math. Z., 86 (1964), 41–44.MathSciNetzbMATHCrossRefGoogle Scholar
  2. 2.
    Zygmund, A., Trigonometric Series, Vols. I and II, Cambridge University Press, London, 1959.Google Scholar

Copyright information

© Springer Basel AG 1976

Authors and Affiliations

  • Theodore J. Rivlin
    • 1
  1. 1.Thomas J. Watson Research CenterIBMYorktown HeightsUSA

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