Smoothing Inversion of Fourier Series Using Generalized Cross-Validation
Copyright policy )Smoothing Inversion of Fourier Series Using Generalized Cross-Validation
Let \(f\) be a 1-periodic, absolutely continuous function with \(\int_I |f'(t)|^2 dt 0\) is the smoothing parameter. The construction of an optimal parameter \(\alpha\) is based on \textit{G. Wahba's} method [Spline models for observational data, SIAM, Philadelphia, PA (1990; Zbl 0813.62001)] of generalized cross validation.
- Synopsys (Switzerland) Switzerland
- University of Lübeck Germany
smoothing approximation, generalized cross validation, smoothing parameter, Trigonometric approximation, Numerical smoothing, curve fitting, Numerical methods for trigonometric approximation and interpolation, reconstruction problem, trigonometric polynomial, inversion of Fourier series
smoothing approximation, generalized cross validation, smoothing parameter, Trigonometric approximation, Numerical smoothing, curve fitting, Numerical methods for trigonometric approximation and interpolation, reconstruction problem, trigonometric polynomial, inversion of Fourier series
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