Approximative capabilities of “Smolyak type” computational aggregates with Dirichlet, Fejér and Valleé-Poussin kernels in the scale of Ul’yanov classes-Reference-Cited by-同舟云学术

Approximative capabilities of “Smolyak type” computational aggregates with Dirichlet, Fejér and Valleé-Poussin kernels in the scale of Ul’yanov classes

Published:2015-06-05 Issue:7 Volume:59 Page:67-72
ISSN:1066-369X
Container-title:Russian Mathematics
language:en
Short-container-title:Russ Math.

Author:

Temirgaliev N.,Nauryzbayev N. Zh.,Shomanova A. A.

Publisher

Allerton Press

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.3103/S1066369X15070099.pdf

Reference10 articles.

1. Smolyak, S. A. “Quadrature and Interpolation Formulas for Tensor Products of Certain Classes of Functions,” Dokl. Akad. Nauk SSSR textbf148, No. 4, 240–243 (1963).

2. Smolyak, S. A. “Optimal Recovery of Functions and Functionals of Functions,” Candidate’s Dissertation in Mathematics and Physics (Moscow, 1965).

3. Temirgaliev, N. “Classes of Us (β, θ,α; ψ) andQuadrature Formulas,” Dokl.AkadNauk 393,No. 5, 605–608 (2003).

4. Temirgaliev, N. “Tensor Products of Functionals and their Application,” Dokl. Math. 81, No. 1, 78–82 (2010).

5. Korobov, N.M. Theoretical Numerical Methods in Approximate Analysis (Fizmatgiz, Moscow, 1963) [in Russian].

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