Convergence of cascade algorithms in Sobolev spaces for perturbed refinement masks
Abstract (Summary)In this paper the convergence of the cascade algorithm in a Sobolev space is considered if the refinement mask is perturbed. It is proved that the cascade algorithm corresponding to a slightly perturbed mask converges. Moreover, the perturbation of the resulting limit function is estimated in terms of that of the masks.
Source Type:Master's Thesis
Keywords:mathematik gerhard mercator universitaet
Date of Publication:05/27/2002