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Izvestiya: Mathematics, 2009, Volume 73, Issue 2, Pages 393–434
DOI: https://doi.org/10.1070/IM2009v073n02ABEH002451 (Mi im956) 		 
This article is cited in 12 scientific papers (total in 12 papers)

An application of tensor products of functionals in problems of numerical integration

N. Temirgalieva, S. S. Kudaibergenovb, A. A. Shomanovaa

a L. N. Gumilev Eurasian National University
b M. O. Auezov South Kazakhstan State University
English version PDF (512 kB) Citations (12) Russian version article
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DOI: https://doi.org/10.1070/IM2009v073n02ABEH002451
Abstract: We introduce a new notion of tensor product of functionals and apply it to problems of numerical integration. We find the exact orders of the errors arising on various classes of functions, some of which are known and some are new.
Keywords: tensor products of functionals, numerical integration, Smolyak quadrature formulae, discrepancy, Korobov grid, number-theoretic methods, theory of divisors, Chebyshev system, recovery from inexact information.
Received: 11.03.2005
Revised: 05.04.2008
Bibliographic databases:
UDC: 517.5
MSC: Primary 65D30; Secondary 41A55
Language: English
Original paper language: Russian
Citation: N. Temirgaliev, S. S. Kudaibergenov, A. A. Shomanova, “An application of tensor products of functionals in problems of numerical integration”, Izv. Math., 73:2 (2009), 393–434
Citation in format AMSBIB
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\paper An application of tensor products of functionals in problems of numerical integration
\jour Izv. Math.
\yr 2009
\vol 73
\issue 2
\pages 393--434
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  • https://doi.org/10.1070/IM2009v073n02ABEH002451
  • https://www.mathnet.ru/eng/im/v73/i2/p183
    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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