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Preprints of the Keldysh Institute of Applied Mathematics, 2016, 098, 10 pp.
DOI: https://doi.org/10.20948/prepr-2016-98 (Mi ipmp2172) 		 
On the problem by Steklov in the class of weight that are positive and continuous on the circle

S. A. Denisovab

a Keldysh Institute for Applied Mathematics, Russian Academy of Sciences Miusskaya pl. 4, 125047 Moscow, RUSSIA
b University of Wisconsin–Madison, Mathematics Department, 480 Lincoln Dr., Madison, WI, 53706, USA
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DOI: https://doi.org/10.20948/prepr-2016-98
Abstract: In this paper, we obtain the lower bounds for the uniform norm of the polynomials orthonormal on the unit circle with respect to a continuous and positive weight. Our bounds are sharp and improve similar results obtained earlier by M. Ambroladze.
Keywords: Uniform norm, polynomials orthonormal on the unit circle, problem of Steklov.
Funding agency Grant number
Russian Science Foundation 14-21-00025
Document Type: Preprint
UDC: 517.53+517.9
Language: Russian
Citation: S. A. Denisov, “On the problem by Steklov in the class of weight that are positive and continuous on the circle”, Keldysh Institute preprints, 2016, 098, 10 pp.
Citation in format AMSBIB
\Bibitem{Den16}
\by S.~A.~Denisov
\paper On the problem by Steklov in the class of weight that are positive and continuous on the circle
\jour Keldysh Institute preprints
\yr 2016
\papernumber 098
\totalpages 10
\mathnet{http://mi.mathnet.ru/ipmp2172}
\crossref{https://doi.org/10.20948/prepr-2016-98}
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