Bounds for Trigonometric Polynomials

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


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.


Error Bound Random Number Generator Absolute Magnitude Trigonometric Polynomial General Remark 
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  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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