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Extremal properties of certain trigonometric functions and Chebyshev polynomials
Authors:I V Belyakov
Institution:(1) Moscow State Institute of Electronics and Mathematics, Moscow
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.
Keywords:Chebyshev and trigonometric polynomials  minimal deviation property  symmetric algebras  complex Lie algebra
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