Gotusso, L.; Pavani, R.; Roux, D. Numerical results from a regularization method for inversion of Fourier series. (English) Zbl 0755.65141 Rend. Mat. Appl., VII. Ser. 10, No. 3, 423-438 (1990). 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. Reviewer: H.P.Dikshit (Jabalpur) Cited in 1 Document MSC: 65T40 Numerical methods for trigonometric approximation and interpolation 42A10 Trigonometric approximation Keywords:periodic function; Fourier coefficients; regularisation method; inversion of Fourier series; pointwise convergence PDFBibTeX XMLCite \textit{L. Gotusso} et al., Rend. Mat. Appl., VII. Ser. 10, No. 3, 423--438 (1990; Zbl 0755.65141)