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Matematicheskie Zametki, 2014, Volume 96, Issue 5, paper published in the English version journal (Mi mzm12381)  

This article is cited in 9 scientific papers (total in 9 papers)

Papers published in the English version of the journal

Optimal argument in the sharp Jackson inequality in the space $L_2$ with hyperbolic weight

D. V. Gorbachev, V. I. Ivanov, R. A. Veprintsev

Tula State University, Tula, Russia
Citations (9)
Abstract: In the space $L_2$ on the real axis with hyperbolic weight, the sharp Jackson inequality with optimal argument is proved.
Keywords: $L_2$-space, hyperbolic weight, best approximation, modulus of continuity, Jackson's inequality, entire function of exponential type, Gaussian quadrature formula.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00045_а
Ministry of Education and Science of the Russian Federation 5414GZ
1.1333.2014K
Dynasty Foundation
This work was supported by the Russian Foundation for Basic Research (grant no. 13-01-00045), the Ministry of Education and Science of the Russian Federation (state contracts no. 5414GZ and no. 1.1333.2014K), and Dmitry Zimin’s Foundation “Dynasty''.
English version:
Mathematical Notes, 2014, Volume 96, Issue 5, Pages 904–913
DOI: https://doi.org/10.1134/S0001434614110273
Document Type: Article
Language: English
Citation: D. V. Gorbachev, V. I. Ivanov, R. A. Veprintsev, “Optimal argument in the sharp Jackson inequality in the space $L_2$ with hyperbolic weight”, Math. Notes, 96:5 (2014), 904–913
Citation in format AMSBIB
\Bibitem{GorIvaVep14}
\by D.~V.~Gorbachev, V.~I.~Ivanov, R.~A.~Veprintsev
\paper Optimal argument in the sharp Jackson inequality in the space $L_2$ with hyperbolic weight
\jour Math. Notes
\yr 2014
\vol 96
\issue 5
\pages 904--913
\mathnet{http://mi.mathnet.ru/mzm12381}
\crossref{https://doi.org/10.1134/S0001434614110273}
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  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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