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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 3, Pages 265–272
DOI: https://doi.org/10.21538/0134-4889-2016-22-3-265-272 (Mi timm1343) 		 
One-sided integral approximation of the characteristic function of an interval by algebraic polynomials

A. Yu. Torgashova

Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg
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DOI: https://doi.org/10.21538/0134-4889-2016-22-3-265-272
Abstract: We give a solution to the problem of one-sided approximation in $L(-1,1)$ of the characteristic function of the interval $(-\sqrt{{3}/{5}},{2}/{5})$ by fifth-degree algebraic polynomials. The corresponding quadrature formula with positive weights is constructed.
Keywords: algebraic polynomials, one-sided approximation, characteristic function of an interval.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation НШ-9356.2016.1
02.A03.21.0006
Received: 29.04.2016
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2017, Volume 296, Issue 1, Pages 228–235
DOI: https://doi.org/10.1134/S0081543817020213
Bibliographic databases:
Document Type: Article
UDC: 517.518.8
MSC: 41A10, 41A29
Language: Russian
Citation: A. Yu. Torgashova, “One-sided integral approximation of the characteristic function of an interval by algebraic polynomials”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 3, 2016, 265–272; Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 228–235
Citation in format AMSBIB
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\pages 265--272
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