On Error Estimates in Sp for Cubature Formulas Exact for Haar Polynomials

DOI10.17516/1997-1397-2020-13-4-398-413OpenAlexW3047250287MaRDI QIDQ5859225

K. A. Kirillov

Publication date: 16 April 2021

Published in: Journal of Siberian Federal University. Mathematics & Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/jsfu848

zbMATH Keywords

Haar \(d\)-propertyfunction spaces \(S_p\)error estimates for cubature formulas

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Approximations and expansions (41Axx)

Cites Work

• Extremal lattices and the construction of lattice rules
• Minimal cubature formulas exact for Haar polynomials
• Zur mechanischen Kubatur
• Three- and four-dimensional 𝐾-optimal lattice rules of moderate trigonometric degree
• Error estimates in S P for cubature formulas exact for haar polynomials in the two-dimensional case
• Minimal cubature formulae of trigonometric degree
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