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Extremal properties of certain trigonometric functions and Chebyshev polynomials

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Abstract

For a wide class of symmetric trigonometric polynomials, the minimal deviation property is established. As a corollary, the extremal property is proved for the components of the Chebyshev polynomial mappings corresponding to symmetric algebras A α.

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Authors and Affiliations

  1. Moscow State Institute of Electronics and Mathematics, Moscow

    I. V. Belyakov

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  1. I. V. Belyakov
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Translated from Matematicheskie Zametki, vol. 80, no. 3, 2006, pp. 350–355.

Original Russian Text Copyright © 2006 by I. V. Belyakov.

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Belyakov, I.V. Extremal properties of certain trigonometric functions and Chebyshev polynomials. Math Notes 80, 339–344 (2006). https://doi.org/10.1007/s11006-006-0145-0

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  • DOI: https://doi.org/10.1007/s11006-006-0145-0

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