Adaptive optimal regularization of the linear ill posed integral equations

Details Adaptive optimal regularization of the linear ill posed integral equations Adaptive optimal regularization of the linear ill posed integral equations

2010-04-05

arxiv.org/abs/1004.0662v1

Mathematics

Numerical Analysis

Scientific paper

We construct an adaptive asymptotically optimal in order in the $ L(2) $
sense a solution (estimation) of an integral linear equation of a first kind
and energy of this solution with the confidence region building, also adaptive.

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