In this paper we compare the Fourier polynomials approximation, in C(Tn) or in Lp(Tn), with that one obtained by a class of smoothing methods, which naturally arise in solving ill posed problems. It is also given a sharp evaluation of the above approximation in the space Lip (α, C(T)), 0<α<1. © 1987 Fondazione Annali di Matematica Pura ed Applicata.
DE MICHELE, L., Roux, D. (1987). Some results about smoothing methods of Fourier series. ANNALI DI MATEMATICA PURA ED APPLICATA, 149(1), 207-216 [10.1007/BF01773934].
Some results about smoothing methods of Fourier series
DE MICHELE, LEONEDE;
1987
Abstract
In this paper we compare the Fourier polynomials approximation, in C(Tn) or in Lp(Tn), with that one obtained by a class of smoothing methods, which naturally arise in solving ill posed problems. It is also given a sharp evaluation of the above approximation in the space Lip (α, C(T)), 0<α<1. © 1987 Fondazione Annali di Matematica Pura ed Applicata.
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