Convergence of cubature formulas of high trigonometric precision in multidimensional periodic sobolev spaces

DOI10.3103/S1055134415040069zbMath1374.65029OpenAlexW2304488491MaRDI QIDQ2959163

V. L. Vaskevich

Publication date: 9 February 2017

Published in: Siberian Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1055134415040069

zbMATH Keywords

error functionconvergencecubature formulaperiodic Sobolev spaceembedding functions and constantsformula of high trigonometric precision

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

The error estimates of minimal and almost minimal cubature formulas on classes of periodic functions, The infinite convergence order of near minimal cubature formulas on classes of periodic functions

Cites Work

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• The error and guaranteed accuracy of cubature formulas in multidimensional periodic Sobolev spaces
• Embedding constants and embedding functions for Sobolev-like spaces on the unit sphere
• Construction of lattice rules with a trigonometric d-property on the basis of extreme lattices