Approximative capabilities of ``Smolyak type computational aggregates with Dirichlet, Fejér and Vallée-Poussin kernels in the scale of Ul'yanov classes

DOI10.3103/S1066369X15070099zbMath1346.42009OpenAlexW807638775MaRDI QIDQ891751

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

Publication date: 17 November 2015

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x15070099

zbMATH Keywords

Dirichlet kerneltensor productFejér kerneltrigonometric Fourier seriesVallée-Poussin kernelKorobov classesrecovering operatorUl'yanov classes

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08)

Related Items (2)

On some special effects in theory on numerical integration and functions recovery ⋮ Orderly exact calculation of integrals of products of functions by the method of tensor products of functionals

Cites Work

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• An exact order of discrepancy of the Smolyak grid and some general conclusions in the theory of numerical integration
• Tensor products of functionals and their application
• Average case complexity of multivariate integration for smooth functions
• Explicit cost bounds of algorithms for multivariate tensor product problems
• Applications of Smolyak quadrature formulas to the numerical integration of Fourier coefficients and in function recovery problems
• An application of tensor products of functionals in problems of numerical integration

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