Mollification Based on Wavelets
AbstractThe mollification obtained by truncating the expansion in wavelets is studied, where the wavelets are so chosen that noise is reduced and the Gibbs phenomenon does not occur. The estimations of the error of approximation of the mollification are given for the case when the fractional derivative of a function is calculated. Noting that the estimations are applicable even when the orthogonality of the wavelets is not satisfied, we study mollifications using unorthogonalized wavelets, as well as those using orthogonal wavelets.
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Morita, T.; Sato, K.-I. Mollification Based on Wavelets. Axioms 2013, 2, 67-84.
Morita T, Sato K-I. Mollification Based on Wavelets. Axioms. 2013; 2(2):67-84.Chicago/Turabian Style
Morita, Tohru; Sato, Ken-ichi. 2013. "Mollification Based on Wavelets." Axioms 2, no. 2: 67-84.