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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, Number 11, Pages 94–99
DOI: https://doi.org/10.26907/0021-3446-2019-11-94-99 (Mi ivm9521) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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Orderly exact calculation of integrals of products of functions by the method of tenzor products of functionals

N. Temirgaliyev, S. S. Kudaibergenov, N. Zh. Nauryzbaev

L.N. Gumilyov Eurasian National University, 13 Kazhimukan str., Nur-Sultan, 010008 Republic of Kazakhstan
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DOI: https://doi.org/10.26907/0021-3446-2019-11-94-99
Abstract: The paper is devoted to approximate calculation of integrals of products of two functions by the method of tensor products of functionals. Under the assumption that one of them is from the Sobolev class with the dominant mixed derivative, and the other with fast oscillation, there are obtained unimprovable (in the sense of order) estimates of arising errors of approximation. Also, a comparative analysis with known methods in the "theory of oscillations" be conducted.
Keywords: tensor product of functionals, Haar function, highly oscillatory integral, asymptotic method, Filon method, Levin collocation method.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP05136219
AP05135791
Received: 17.06.2019
Revised: 17.06.2019
Accepted: 19.06.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2019, Volume 63, Issue 11, Pages 83–87
DOI: https://doi.org/10.3103/S1066369X19110124
Bibliographic databases:
Document Type: Article
UDC: 518:517.392
Language: Russian
Citation: N. Temirgaliyev, S. S. Kudaibergenov, N. Zh. Nauryzbaev, “Orderly exact calculation of integrals of products of functions by the method of tenzor products of functionals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 11, 94–99; Russian Math. (Iz. VUZ), 63:11 (2019), 83–87
Citation in format AMSBIB
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\paper Orderly exact calculation of integrals of products of functions by the method of tenzor products of functionals
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2019
\issue 11
\pages 94--99
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\crossref{https://doi.org/10.26907/0021-3446-2019-11-94-99}
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\jour Russian Math. (Iz. VUZ)
\yr 2019
\vol 63
\issue 11
\pages 83--87
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  • https://www.mathnet.ru/eng/ivm9521
  • https://www.mathnet.ru/eng/ivm/y2019/i11/p94
    • This publication is cited in the following 1 articles:
    1. S. S. Kudaibergenov, Ye. Ye. Nurmoldin, N. Zh. Nauryzbayev, N. Temirgaliyev, “Formulas for approximate calculation of the Chebyshev coefficients”, Russian Math. (Iz. VUZ), 65:2 (2021), 69–74  mathnet  crossref  crossref  isi
    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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    Abstract page:378
    Full-text PDF :159
    References:44
    First page:3
     
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