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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, Number 3, Pages 98–104
DOI: https://doi.org/10.26907/0021-3446-2020-3-98-104
(Mi ivm9556)
 

This article is cited in 6 scientific papers (total in 6 papers)

Brief communications

The Radon transform in the scheme C(N)D-inverstigations and the quasi-Monte Carlo theory

N. Temirgaliyev, Sh. K. Abikenova, Sh. U. Azhgaliev, G. E. Taugynbaeyva

L.N. Gumilyov Eurasian National University, 13 Kazhimukan str., Nur-Sultan, 010008 Republic of Kazakhstan
Full-text PDF (386 kB) Citations (6)
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Abstract: The article has a programmatic principles in the concept of studying the Radon transform according to the computational (numerical) diameter and applying the theory of uniform distribution. The principal result is that the Radon transforms are qualified as optimal among the all possible linear functionals that are used to extract numerical information for generating a computational aggregate.
Keywords: Radon transform, computational (numerical) diameter, quasi-Monte Carlo method, recoveryof functions, limiting error.
Received: 25.09.2019
Revised: 25.09.2019
Accepted: 25.09.2019
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2020, Volume 64, Issue 3, Pages 87–92
DOI: https://doi.org/10.3103/S1066369X2003010X
Bibliographic databases:
Document Type: Article
UDC: 518:517.392
Language: Russian
Citation: N. Temirgaliyev, Sh. K. Abikenova, Sh. U. Azhgaliev, G. E. Taugynbaeyva, “The Radon transform in the scheme C(N)D-inverstigations and the quasi-Monte Carlo theory”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 3, 98–104; Russian Math. (Iz. VUZ), 64:3 (2020), 87–92
Citation in format AMSBIB
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\issue 3
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  • This publication is cited in the following 6 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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    Abstract page:341
    Full-text PDF :111
    References:24
    First page:17
     
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