The infinite convergence order of near minimal cubature formulas on classes of periodic functions

DOI10.1080/17476933.2020.1816991zbMath1471.65022OpenAlexW3159867707MaRDI QIDQ5156145

V. L. Vaskevich

Publication date: 14 October 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1816991

zbMATH Keywords

cubature formulasextremal functionembedding constanterror functionalinfinite convergence ordernear minimal cubature formulas

Mathematics Subject Classification ID

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

Cites Work

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• Computing almost minimal formulas on the square
• The error and guaranteed accuracy of cubature formulas in multidimensional periodic Sobolev spaces
• Number theory. An introduction to mathematics
• Convergence of cubature formulas of high trigonometric precision in multidimensional periodic sobolev spaces
• Construction of lattice rules with a trigonometric d-property on the basis of extreme lattices
• Minimal cubature formulae of trigonometric degree
• A Majorant for the Multiplicities of Eigenvalues of the Laplace Operator with Periodic Conditions

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