On the existence of global saturation for spectral regularization methods with optimal qualification

Details On the existence of global saturation for spectral regularization methods with optimal qualification On the existence of global saturation for spectral regularization methods with optimal qualification

2011-08-19

arxiv.org/abs/1108.4072v1

Mathematics

Functional Analysis

19 pages

Scientific paper

A family of real functions {g_\alpha} defining a spectral regularization method with optimal qualification is considered. Sufficient condition on the family and on the optimal qualification guaranteeing the existence of saturation are established. Appropriate characterizations of both the saturation function and the saturation set are found and some examples are provided.

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