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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ehlich, II., and K. Zeller, Schwankung von Polynomen zwischen Gitterpunkten, Math. Z., 86 (1964), 41–44.
Zygmund, A., Trigonometric Series, Vols. I and II, Cambridge University Press, London, 1959.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1976 Springer Basel AG
About this chapter
Cite this chapter
Rivlin, T.J. (1976). Bounds for Trigonometric Polynomials. In: Collatz, L., Werner, H., Meinardus, G. (eds) Numerische Methoden der Approximationstheorie/Numerical Methods of Approximation Theory. International Series of Numerical Mathematics, vol 30. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7692-6_15
Download citation
DOI: https://doi.org/10.1007/978-3-0348-7692-6_15
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-7643-0824-7
Online ISBN: 978-3-0348-7692-6
eBook Packages: Springer Book Archive