Approximative possibilities of computational aggregates of the ``Smolyak type'' with Dirichlet, Fejer and Vall\'ee-Poussin kernels in the scale of Ul'yanov classes
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2015), pp. 75-81

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In Ul'yanov classes we carry out comparative analysis of computational units which are constructed by the method of tensor products of functionals with means of trigonometric Fourier series.
Keywords: recovering operator, error of the recovery, tensor product of functionals, Dirichlet kernel, Korobov classes, Ul'yanov classes.
Mots-clés : Fejer kernel, Vallée-Poussin kernel
@article{IVM_2015_7_a8,
     author = {N. Temirgaliyev and N. Zh. Nauryzbayev and A. A. Shomanova},
     title = {Approximative possibilities of computational aggregates of the {``Smolyak} type'' with {Dirichlet,} {Fejer} and {Vall\'ee-Poussin} kernels in the scale of {Ul'yanov} classes},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {75--81},
     publisher = {mathdoc},
     number = {7},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2015_7_a8/}
}
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N. Temirgaliyev; N. Zh. Nauryzbayev; A. A. Shomanova. Approximative possibilities of computational aggregates of the ``Smolyak type'' with Dirichlet, Fejer and Vall\'ee-Poussin kernels in the scale of Ul'yanov classes. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2015), pp. 75-81. http://geodesic.mathdoc.fr/item/IVM_2015_7_a8/