On filtered polynomial approximation on the sphere

DOI10.1007/s00041-016-9493-7zbMath1456.41006arXiv1509.03792OpenAlexW2201849198MaRDI QIDQ2409201

Ian H. Sloan, He Ping Wang

Publication date: 11 October 2017

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.03792

zbMATH Keywords

Sobolev spacespherefiltered hyperinterpolationfiltered polynomial approximation

Mathematics Subject Classification ID

Multidimensional problems (41A63) Rate of convergence, degree of approximation (41A25)

Related Items (7)

Distributed learning via filtered hyperinterpolation on manifolds ⋮ Fully discrete needlet approximation on the sphere ⋮ Optimal randomized quadrature for weighted Sobolev and Besov classes with the Jacobi weight on the ball ⋮ Uniform approximation on the sphere by least squares polynomials ⋮ A fully discretised filtered polynomial approximation on spherical shells ⋮ Distributed Filtered Hyperinterpolation for Noisy Data on the Sphere ⋮ Lasso Hyperinterpolation Over General Regions

Cites Work

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• OPTIMAL LOWER ESTIMATES FOR THE WORST CASE CUBATURE ERROR AND THE APPROXIMATION BY HYPERINTERPOLATION OPERATORS IN THE SOBOLEV SPACE SETTING ON THE SPHERE
• Polynomial approximation on spheres - generalizing de la Vallée-Poussin
• On generalized hyperinterpolation on the sphere
• Summability of double Fourier series

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