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Matematicheskie Zametki, 2006, Volume 80, Issue 3, Pages 350–355
DOI: https://doi.org/10.4213/mzm2820 (Mi mzm2820) 		 
Extremal Properties of Certain Trigonometric Functions and Chebyshev Polynomials

I. V. Belyakov

Moscow State Institute of Electronics and Mathematics
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DOI: https://doi.org/10.4213/mzm2820
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 $A_\alpha$.
Keywords: Chebyshev and trigonometric polynomials, minimal deviation property, symmetric algebras, complex Lie algebra.
Received: 02.11.1998
English version:
Mathematical Notes, 2006, Volume 80, Issue 3, Pages 339–384
DOI: https://doi.org/10.1007/s11006-006-0145-0
Bibliographic databases:
UDC: 517
Language: Russian
Citation: I. V. Belyakov, “Extremal Properties of Certain Trigonometric Functions and Chebyshev Polynomials”, Mat. Zametki, 80:3 (2006), 350–355; Math. Notes, 80:3 (2006), 339–384
Citation in format AMSBIB
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