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Sharp estimates for coefficients of odd trigonometric polynomials under a one-sided constraint
D. O. Zykov Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg
Abstract:
We study the largest and the smallest values of coefficients of odd trigonometric polynomials bounded from above by the function $\varphi(x)=x$ on the interval $[0,2\pi]$. A similar problem for the first and second coefficients was studied by the author earlier.
Keywords:
trigonometric polynomials, one-sided constraints.
Received: 06.05.2016
Citation:
D. O. Zykov, “Sharp estimates for coefficients of odd trigonometric polynomials under a one-sided constraint”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 3, 2016, 130–136; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 240–246
Linking options:
https://www.mathnet.ru/eng/timm1327 https://www.mathnet.ru/eng/timm/v22/i3/p130
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Abstract page: | 179 | Full-text PDF : | 65 | References: | 35 | First page: | 6 |
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