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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
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
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
Linking options:
https://www.mathnet.ru/eng/ivm9556 https://www.mathnet.ru/eng/ivm/y2020/i3/p98
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Abstract page: | 341 | Full-text PDF : | 111 | References: | 24 | First page: | 17 |
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