Geodesic
Extremal Properties of Certain Trigonometric Functions and Chebyshev Polynomials
Matematičeskie zametki, Tome 80 (2006) no. 3, pp. 350-355 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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I. V. Belyakov. Extremal Properties of Certain Trigonometric Functions and Chebyshev Polynomials. Matematičeskie zametki, Tome 80 (2006) no. 3, pp. 350-355. http://geodesic.mathdoc.fr/item/MZM_2006_80_3_a3/

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