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dc.contributor.authorBabenko, A. G.en
dc.contributor.authorDeikalova, M. V.en
dc.contributor.authorRevesz, S. G.en
dc.date.accessioned2021-08-31T15:05:13Z-
dc.date.available2021-08-31T15:05:13Z-
dc.date.issued2017-
dc.identifier.citationBabenko A. G. One-sided weighted integral approximation of characteristic functions of intervals by polynomials on a closed interval / A. G. Babenko, M. V. Deikalova, S. G. Revesz. — DOI 10.1134/S0081543817050029 // Proceedings of the Steklov Institute of Mathematics. — 2017. — Vol. 297. — P. 11-18.en
dc.identifier.issn815438-
dc.identifier.otherFinal2
dc.identifier.otherAll Open Access, Green3
dc.identifier.otherhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85029094349&doi=10.1134%2fS0081543817050029&partnerID=40&md5=229ff611a92e0c8f86ef05d5af38b019
dc.identifier.urihttp://elar.urfu.ru/handle/10995/102752-
dc.description.abstractWe consider the problem of one-sided weighted integral approximation on the interval [−1, 1] to the characteristic functions of intervals (a, 1] ⊂ (−1, 1] and (a, b) ⊂ (−1, 1) by algebraic polynomials. In the case of half-intervals, the problem is solved completely. We construct an example to illustrate the difficulties arising in the case of an open interval. © 2017, Pleiades Publishing, Ltd.en
dc.format.mimetypeapplication/pdfen
dc.language.isoenen
dc.publisherMaik Nauka-Interperiodica Publishingen
dc.rightsinfo:eu-repo/semantics/openAccessen
dc.sourceProc. Steklov Inst. Math.2
dc.sourceProceedings of the Steklov Institute of Mathematicsen
dc.subjectCHARACTERISTIC FUNCTIONen
dc.subjectONE-SIDED APPROXIMATIONen
dc.subjectPOLYNOMIALSen
dc.titleOne-sided weighted integral approximation of characteristic functions of intervals by polynomials on a closed intervalen
dc.typeArticleen
dc.typeinfo:eu-repo/semantics/articleen
dc.typeinfo:eu-repo/semantics/publishedVersionen
dc.identifier.rsi31116832-
dc.identifier.doi10.1134/S0081543817050029-
dc.identifier.scopus85029094349-
local.contributor.employeeBabenko, A.G., Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, 620990, Russian Federation, Ural Federal University, Yekaterinburg, 620000, Russian Federation
local.contributor.employeeDeikalova, M.V., Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, 620990, Russian Federation, Ural Federal University, Yekaterinburg, 620000, Russian Federation
local.contributor.employeeRevesz, S.G., Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, 1053, Hungary
local.description.firstpage11-
local.description.lastpage18-
local.volume297-
dc.identifier.wos000410252500002-
local.contributor.departmentKrasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, 620990, Russian Federation
local.contributor.departmentAlfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, 1053, Hungary
local.contributor.departmentUral Federal University, Yekaterinburg, 620000, Russian Federation
local.identifier.pure1cb7391c-f10d-457f-84c4-f42e30114e69uuid
local.identifier.pure2123105-
local.identifier.eid2-s2.0-85029094349-
local.identifier.wosWOS:000410252500002-
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