Approximative capabilities of ``Smolyak type'' computational aggregates with Dirichlet, Fejér and Vallée-Poussin kernels in the scale of Ul'yanov classes
type: Item
instance of: scholarly article
title: Approximative capabilities of ``Smolyak type'' computational aggregates with Dirichlet, Fejér and Vallée-Poussin kernels in the scale of Ul'yanov classes
zbMATH Open document ID: 1346.42009
DOI: 10.3103/S1066369X15070099
author: N. Zh. Nauryzbayev
author: A. A. Shomanova
author: Nurlan Temirgaliyev
published in: Russian Mathematics
publication date: 2015-11-17T00:00:00Z
Mathematics Subject Classification ID: 42B08
Mathematics Subject Classification ID: 42B05
zbMATH DE Number: 6509908
zbMATH Keywords: recovering operator
zbMATH Keywords: trigonometric Fourier series
zbMATH Keywords: tensor product
zbMATH Keywords: Ul'yanov classes
zbMATH Keywords: Fejér kernel
zbMATH Keywords: Dirichlet kernel
zbMATH Keywords: Vallée-Poussin kernel
zbMATH Keywords: Korobov classes
MaRDI profile type: Publication
cites work: Q5600030
cites work: Tensor products of functionals and their application
cites work: Q5723455
cites work: Applications of Smolyak quadrature formulas to the numerical integration of Fourier coefficients and in function recovery problems
cites work: An exact order of discrepancy of the Smolyak grid and some general conclusions in the theory of numerical integration
cites work: An application of tensor products of functionals in problems of numerical integration
cites work: Average case complexity of multivariate integration for smooth functions
cites work: Explicit cost bounds of algorithms for multivariate tensor product problems
full work available at URL: s1066369x15070099
OpenAlex ID: W807638775
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description: scientific article; zbMATH DE number 6509908