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http://elar.urfu.ru/handle/10995/93063
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Поле DC | Значение | Язык |
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dc.contributor.author | Babenko, A. G. | en |
dc.date.accessioned | 2020-10-30T12:53:57Z | - |
dc.date.available | 2020-10-30T12:53:57Z | - |
dc.date.issued | 2016 | - |
dc.identifier.citation | Babenko A. G. On An Extremal Problem for Polynomials with Fixed Mean Value / A. G. Babenko. — DOI 10.15826/umj.2016.1.001. — Text : electronic // Ural Mathematical Journal. — 2016. — Volume 2. — № 1. — P. 3-8. | en |
dc.identifier.issn | 2414-3952 | - |
dc.identifier.uri | http://elar.urfu.ru/handle/10995/93063 | - |
dc.description.abstract | Let T+n be the set of nonnegative trigonometric polynomials τn of degree n that are strictly positive at zero. For 0≤α≤2π/(n+2), we find the minimum of the mean value of polynomial (cosα−cosx)τn(x)/τn(0) over τn∈T+n on the period [−π,π). | en |
dc.description.sponsorship | The paper was originally published in a hard accessible collection of articles Approximation of Functionsby Polynomials and Splines (The Ural Scientific Center of the Academy of Sciences of the USSR, Sverdlovsk, 1985), p. 15-22 (in Russian). | en |
dc.description.sponsorship | The author is grateful to Professor V.V. Arestov for the statement of the problem as well as to Doctor E.E. Berdysheva for the excellent translation of the paper into English. | en |
dc.format.mimetype | application/pdf | en |
dc.language.iso | en | en |
dc.publisher | N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences | en |
dc.publisher | Ural Federal University named after the first President of Russia B.N. Yeltsin | en |
dc.relation.ispartof | Ural Mathematical Journal. 2016. Volume 2. № 1 | en |
dc.rights | Creative Commons Attribution License | en |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | - |
dc.subject | TRIGONOMETRIC POLYNOMIALS | en |
dc.subject | EXTREMAL PROBLEM | en |
dc.title | On An Extremal Problem for Polynomials with Fixed Mean Value | en |
dc.type | Article | en |
dc.type | info:eu-repo/semantics/article | en |
dc.type | info:eu-repo/semantics/publishedVersion | en |
dc.identifier.doi | 10.15826/umj.2016.1.001 | - |
local.description.firstpage | 3 | - |
local.description.lastpage | 8 | - |
local.issue | 1 | - |
local.volume | 2 | - |
Располагается в коллекциях: | Ural Mathematical Journal |
Файлы этого ресурса:
Файл | Описание | Размер | Формат | |
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umj_2016_2_1_3-8.pdf | 139,69 kB | Adobe PDF | Просмотреть/Открыть |
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