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The Radon Transform in the Scheme of C(N)D-Investigations and the Quasi-Monte Carlo Theory

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Abstract

In this paper, we propose a program for studying Radon transforms in accordance with the computational (numerical) diameter (C(N)D) scheme by applying the uniform distribution theory. The main result is that Radon transforms are qualified as optimal among all possible linear functionals that are used to extract numerical information for generating a computational aggregate.

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Funding

This work was supported by the Ministry of Education and Science of the Republic of Kazakhstan (project no. AR05132938 “The Radon transform in discretization problems”).

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Authors and Affiliations

  1. L. N. Gumilyov Eurasian National University, 13 Kazhimukan str., Nur-Sultan, 010008, Republic of Kazakhstan

    N. Temirgaliev, Sh. K. Abikenova, Sh. U. Azhgaliev & G. E. Taugynbaeva

Authors
  1. N. Temirgaliev
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  2. Sh. K. Abikenova
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  3. Sh. U. Azhgaliev
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  4. G. E. Taugynbaeva
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Corresponding authors

Correspondence to N. Temirgaliev, Sh. K. Abikenova, Sh. U. Azhgaliev or G. E. Taugynbaeva.

Additional information

Russian Text © The Author(s), 2020, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2020, No. 3, pp. 98–104.

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Temirgaliev, N., Abikenova, S.K., Azhgaliev, S.U. et al. The Radon Transform in the Scheme of C(N)D-Investigations and the Quasi-Monte Carlo Theory. Russ Math. 64, 87–92 (2020). https://doi.org/10.3103/S1066369X2003010X

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  • DOI: https://doi.org/10.3103/S1066369X2003010X

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