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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 3, Pages 130–136
DOI: https://doi.org/10.21538/0134-4889-2016-22-3-130-136 (Mi timm1327) 		 
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
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DOI: https://doi.org/10.21538/0134-4889-2016-22-3-130-136
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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-5344.2006.1
02.A03.21.0006
Received: 06.05.2016
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 297, Issue 1, Pages 240–246
DOI: https://doi.org/10.1134/S008154381705025X
Bibliographic databases:
Document Type: Article
UDC: 517.518.86
MSC: 41A17
Language: Russian
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
Citation in format AMSBIB
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