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Numerical results from a regularization method for inversion of Fourier series. (English) Zbl 0755.65141

The problem of reconstructing a periodic function from a given approximation of the sequence of its Fourier coefficients is studied. A regularisation method for the inversion of Fourier series of every function \(f\in L^ p(T)\), \(1 \leq p < +\infty\) has been introduced in [L. de Michele, M. Di Natale and the third author in Trends in functional analysis and approximation theory, Atti Sem. Mat. Fis. Univ. Modena (1991)]. The authors test the usefulness of the foregoing regularisation method with respect to pointwise convergence.

MSC:

65T40 Numerical methods for trigonometric approximation and interpolation
42A10 Trigonometric approximation
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