Sharp estimates for coefficients of odd trigonometric polynomials under a one-sided constraint
- Authors: Zykov D.O.1
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Affiliations:
- Ural Federal University
- Issue: Vol 297, No Suppl 1 (2017)
- Pages: 240-246
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174918
- DOI: https://doi.org/10.1134/S008154381705025X
- ID: 174918
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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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About the authors
D. O. Zykov
Ural Federal University
Author for correspondence.
Email: mitya130@mail.ru
Russian Federation, Yekaterinburg, 620000
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