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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 3, Pages 96–102 (Mi ivm9343)  
This article is cited in 2 scientific papers (total in 2 papers)

Brief communications

On some special effects in theory on numerical integration and functions recovery

N. Zh. Nauryzbaev, A. A. Shomanova, N. Temirgaliyev

L.N. Gumilyov Eurasian National University, 2 Satpayev str., Astana, 010008 Republic of Kazakhstan
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Abstract: We discuss two questions. First, we consider the existence of close to optimal quadrature formulas with a bad $L^2$-discrepancy of their grids, and the second is the question of how much explicit quadrature formulas are preferable to sorting algorithms. Also, in the model case, we obtaine the solution to the question of approximative possibilities of Smolyak's grid in the problems of recovery of functions.
Keywords: discrepancy in uniform and integral metrics, Smolyak's grid, Korobov's grid, approximative possibilities of a specific computational aggregate, explicit quadrature formula, sorting algorithms in problems of numerical integration.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 5598/ГФ4
Received: 26.09.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 3, Pages 84–88
DOI: https://doi.org/10.3103/S1066369X18030118
Bibliographic databases:
Document Type: Article
UDC: 517.518:519.644
Language: Russian
Citation: N. Zh. Nauryzbaev, A. A. Shomanova, N. Temirgaliyev, “On some special effects in theory on numerical integration and functions recovery”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 3, 96–102; Russian Math. (Iz. VUZ), 62:3 (2018), 84–88
Citation in format AMSBIB
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\yr 2018
\issue 3
\pages 96--102
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\vol 62
\issue 3
\pages 84--88
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  • https://www.mathnet.ru/eng/ivm/y2018/i3/p96
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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