Geodesic
The Radon transform in the scheme C(N)D-inverstigations and the quasi-Monte Carlo theory
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2020), pp. 98-104

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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.
Mots-clés : Radon transform
Keywords: computational (numerical) diameter, quasi-Monte Carlo method, recoveryof functions, limiting error. 
@article{IVM_2020_3_a9,
     author = {N. Temirgaliyev and Sh. K. Abikenova and Sh. U. Azhgaliev and G. E. Taugynbaeyva},
     title = {The {Radon} transform in the scheme {C(N)D-inverstigations} and the {quasi-Monte} {Carlo} theory},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {98--104},
     publisher = {mathdoc},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_3_a9/}
}
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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. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2020), pp. 98-104. http://geodesic.mathdoc.fr/item/IVM_2020_3_a9/