Smoothing inversion of Fourier series using generalized cross-validation

DOI10.1007/BF03322217zbMath0853.65145MaRDI QIDQ1911993

Norman Weyrich, Manfred Tasche

Publication date: 8 December 1996

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

generalized cross validationreconstruction problemtrigonometric polynomialsmoothing approximationsmoothing parameterinversion of Fourier series

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Trigonometric approximation (42A10) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items (4)

Concentration inequalities for cross-validation in scattered data approximation ⋮ Pointwise convergence of Fourier regularization for smoothing data ⋮ Fast cross-validation in harmonic approximation ⋮ Fourier series approximation of separable models

Cites Work

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• Accelerating convergence of univariate and bivariate Fourier approximations
• Smoothing noisy data with spline functions: Estimating the correct degree of smoothing by the method of generalized cross-validation
• Smoothing by spline functions.
• On Generalized Cross-Validation for Multivariate Smoothing Spline Functions
• Zur Konvergenzbeschleunigung von Fourier-Reihen
• On the Choice of Parameter in a Method for the Inversion of Fourier Series

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