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• W1492681859 abstract "A general procedure to define nonsmooth fractal versions of classical trigonometric approximants is proposed. The systems of trigonometric polynomials in the space of continuous and periodic functions C(2π) are extended to bases of fractal analogues. As a consequence of the process, the density of trigonometric fractal functions in C(2π) is deduced. We generalize also some classical results (Dini-Lipschitz’s Theorem, for instance) concerning the convergence of the Fourier series of a function of C(2π). Furthermore, a method for real data fitting is proposed, by means of the construction of a fractal function proceeding from a classical approximant." @default.
• W1492681859 created "2016-06-24" @default.
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• W1492681859 date "2005-01-01" @default.
• W1492681859 modified "2023-09-23" @default.
• W1492681859 title "Fractal trigonometric approximation." @default.
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