Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4639410 | Journal of Computational and Applied Mathematics | 2013 | 13 Pages |
Abstract
We analyze the properties of a class of shape-preserving refinable functions with dilation M=3. We give an algorithm to construct totally positive bases with optimal shape-preserving properties on a finite interval. Bernstein-type bases on [0,1] are also treated. Moreover, semiorthogonal wavelets associated with these refinable functions are constructed. Finally, a detailed example is described.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
L. Gori, F. Pitolli, E. Santi,