How Is a Vector Pyramid Scheme Aaected by Perturbation in the Mask?
نویسنده
چکیده
When implementing a pyramid scheme on a computer, it is not possible to use the exact values of the terms of the reenement mask if some are irrational. The irrational terms must be perturbed. When this is the case, it is important to know that the pyramid scheme associated with the perturbed mask converges and that the limit function is close to the solution of the original reenement equation. In this paper, we provide sharp L p (1 p 1) error estimates for univariate vector pyramid schemes when the terms of a nitely supported mask are perturbed slightly.
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