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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 5, Pages 61–63 (Mi ivm8798)  
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

A sharp error estimate of the best approximation by algebraic polynomials in the weighted space $L_2(-1,1)$

R. Z. Dautov

Chair of Computational Mathematics, Kazan (Volga Region) Federal University, Kazan, Russia
Full-text PDF (137 kB) Citations (2)
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Abstract: We obtain a sharp error estimate of the best approximation by algebraic polynomials in the Lebesgue space $L_2(-1,1)$ with the weight $1-x^2$ of degree $\lambda>-1$.
Keywords: best approximation, sharp estimate, weighted space.
Received: 28.11.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 5, Pages 51–53
https://link.springer.com/article/10.3103/S1066369X1305006X
Document Type: Article
UDC: 517.518
Language: Russian
Citation: R. Z. Dautov, “A sharp error estimate of the best approximation by algebraic polynomials in the weighted space $L_2(-1,1)$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 5, 61–63; Russian Math. (Iz. VUZ), 57:5 (2013), 51–53
Citation in format AMSBIB
\Bibitem{Dau13}
\by R.~Z.~Dautov
\paper A sharp error estimate of the best approximation by algebraic polynomials in the weighted space $L_2(-1,1)$
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 5
\pages 61--63
\mathnet{http://mi.mathnet.ru/ivm8798}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 5
\pages 51--53
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Full-text PDF :69
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