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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 7, Pages 75–81 (Mi ivm9022)  
This article is cited in 4 scientific papers (total in 4 papers)

Brief communications

Approximative possibilities of computational aggregates of the “Smolyak type” with Dirichlet, Fejer and Vallée-Poussin kernels in the scale of Ul'yanov classes

N. Temirgaliyev, N. Zh. Nauryzbayev, A. A. Shomanova

Institute of Theoretical Mathematics and Scientific Computation, L. N. Gumilev Eurasian National University, 2 Mirzoyan str., Astana, 010008 Republic of Kazakhstan
Full-text PDF (215 kB) Citations (4)
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Abstract: In Ul'yanov classes we carry out comparative analysis of computational units which are constructed by the method of tensor products of functionals with means of trigonometric Fourier series.
Keywords: recovering operator, error of the recovery, tensor product of functionals, Fejer kernel, Dirichlet kernel, Vallée-Poussin kernel, Korobov classes, Ul'yanov classes.
Received: 08.12.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 7, Pages 67–72
DOI: https://doi.org/10.3103/S1066369X15070099
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: N. Temirgaliyev, N. Zh. Nauryzbayev, A. A. Shomanova, “Approximative possibilities of computational aggregates of the “Smolyak type” with Dirichlet, Fejer and Vallée-Poussin kernels in the scale of Ul'yanov classes”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 7, 75–81; Russian Math. (Iz. VUZ), 59:7 (2015), 67–72
Citation in format AMSBIB
\Bibitem{TemNauSho15}
\by N.~Temirgaliyev, N.~Zh.~Nauryzbayev, A.~A.~Shomanova
\paper Approximative possibilities of computational aggregates of the ``Smolyak type'' with Dirichlet, Fejer and Vall\'ee-Poussin kernels in the scale of Ul'yanov classes
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 7
\pages 75--81
\mathnet{http://mi.mathnet.ru/ivm9022}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 7
\pages 67--72
\crossref{https://doi.org/10.3103/S1066369X15070099}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84930669377}
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    • This publication is cited in the following 4 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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    References:38
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