Bypassing the quadrature exactness assumption of hyperinterpolation on the sphere

DOI10.1016/j.jco.2023.101789arXiv2209.11012OpenAlexW4385988080MaRDI QIDQ6149156

Congpei An, Hao-Ning Wu

Publication date: 5 February 2024

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.11012

zbMATH Keywords

hyperinterpolationquadratureMarcinkiewicz-Zygmund inequalityexactnessspherical \(t\)-designsQMC designs

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximation by polynomials (41A10) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Spherical harmonics (33C55)

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