N. Temirgaliyev, N. Zh. Nauryzbayev, A. A. Shomanova, “Approximative possibilities of computational aggregates of the “Smolyak type” with Dirichlet, Fejer and Vallée-Poussin kernels in the scale of Ul'yanov classes”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, Number 7,Pages <nobr>75

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Brief communications

Approximative possibilities of computational aggregates of the “Smolyak type” with Dirichlet, Fejer and Vallée-Poussin kernels in the scale of Ul'yanov classes

N. Temirgaliyev, N. Zh. Nauryzbayev, A. A. Shomanova

Institute of Theoretical Mathematics and Scientific Computation, L. N. Gumilev Eurasian National University, 2 Mirzoyan str., Astana, 010008 Republic of Kazakhstan

Abstract: 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, Fejer kernel, Dirichlet kernel, Vallée-Poussin kernel, Korobov classes, Ul'yanov classes.

UDC: 517.518

Received: 08.12.2014