Sharp estimates for coefficients of odd trigonometric polynomials under a one-sided constraint


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Abstract

We study the largest and the smallest values of coefficients of odd trigonometric polynomials upper bounded by the function ϕ(x) = x on the interval [0, 2π]. A similar problem for the first and second coefficients was studied by the author earlier.

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D. O. Zykov

Ural Federal University

Author for correspondence.
Email: mitya130@mail.ru
Russian Federation, Yekaterinburg, 620000

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