| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 841586 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 14 Pages |
Abstract
The Haar system is an alternative to the classical Fourier bases, being particularly useful for the approximation of discontinuities. The article tackles the construction of a set of fractal functions close to the Haar set. The new system holds the property of constitution of bases of the Lebesgue spaces of pp-integrable functions on compact intervals. Likewise, the associated fractal series of a continuous function is uniformly convergent. The case p=2p=2 owns some peculiarities and is studied separately.
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Authors
M.A. Navascués,