Multivariate trigonometric polynomial approximations with frequencies from the hyperbolic cross

zbMath0839.42006MaRDI QIDQ1905281

Ronald A. DeVore, Pencho P. Petrushev, Vladimir N. Temlyakov

Publication date: 19 June 1996

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

trigonometric polynomial approximationpolynomials with harmonics of hyperbolic cross

Mathematics Subject Classification ID

Harmonic analysis in several variables (42B99)

Related Items (5)

Fast computation of the multidimensional discrete Fourier transform and discrete backward Fourier transform on sparse grids ⋮ Spaces of functions of mixed smoothness and approximation from hyperbolic crosses ⋮ Best multivariate approximations by trigonometric polynomials with frequencies from hyperbolic crosses ⋮ Whitney type inequalities for local anisotropic polynomial approximation ⋮ A fully discrete fast Fourier-Galerkin method solving a boundary integral equation for the biharmonic equation

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