Generalized hyperinterpolation on the sphere and the Newman-shapiro operators

DOI10.1007/S00365-001-0008-6zbMath1002.41016OpenAlexW2038906925MaRDI QIDQ1601765

Manfred Reimer

Publication date: 27 June 2002

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-001-0008-6

zbMATH Keywords

hyperinterpolationquadrature rulesNewman-Shapiro operators

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by polynomials (41A10)

Related Items (6)

On the norm of the hyperinterpolation operator on the \(d\)-dimensional cube ⋮ Hyperinterpolation for Spectral Wave Propagation Models in Three Dimensions ⋮ Filtered hyperinterpolation: a constructive polynomial approximation on the sphere ⋮ On the norm of the hyperinterpolation operator on the unit ball ⋮ OPTIMAL LOWER ESTIMATES FOR THE WORST CASE CUBATURE ERROR AND THE APPROXIMATION BY HYPERINTERPOLATION OPERATORS IN THE SOBOLEV SPACE SETTING ON THE SPHERE ⋮ On the quadrature exactness in hyperinterpolation

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