A Class of Periodic Function Spaces and Interpolation on Sparse Grids

DOI10.1080/01630560008816955zbMath0991.42014OpenAlexW2122108606MaRDI QIDQ4484814

Frauke Sprengel

Publication date: 25 August 2002

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560008816955

zbMATH Keywords

sparse gridsFourier coefficientsStrang-Fix conditionsperiodic interpolation

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Multidimensional problems (41A63) Harmonic analysis in several variables (42B99) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items (10)

Approximation properties of periodic multivariate quasi-interpolation operators ⋮ Approximation by periodic multivariate quasi-projection operators ⋮ Multivariate Anisotropic Interpolation on the Torus ⋮ Sparse grid approximation in weighted Wiener spaces ⋮ On the stability of the hyperbolic cross discrete Fourier transform ⋮ Interpolation lattices for hyperbolic cross trigonometric polynomials ⋮ Fast evaluation of trigonometric polynomials from hyperbolic crosses ⋮ Approximation by translates of a single function of functions in space induced by the convolution with a given function ⋮ Approximation of multivariate periodic functions by trigonometric polynomials based on sampling along rank-1 lattice with generating vector of Korobov form ⋮ Approximation of multivariate periodic functions by trigonometric polynomials based on rank-1 lattice sampling

Cites Work

• Approximation theory in tensor product spaces
• Hyperbolic wavelet approximation
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