Convergence of cascade algorithms in Sobolev spaces for perturbed refinement masks

Chen, Di-Rong; Plonka-Hoch, Gerlind LSF

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.

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Chen, Di-Rong / Plonka-Hoch, Gerlind: Convergence of cascade algorithms in Sobolev spaces for perturbed refinement masks. 2012.

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