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The saturation phenomena for Tikhonov regularization

Part of: Numerical analysis in abstract spaces Singular integral equations

Published online by Cambridge University Press:  09 April 2009

C. W. Groetsch  and
J. T. King
C. W. Groetsch
Affiliation:
Department of Mathematics SciencesUniversity of CincinnatiCincinnati, Ohio 45221, U.S.A.
J. T. King
Affiliation:
Department of Mathematics SciencesUniversity of CincinnatiCincinnati, Ohio 45221, U.S.A.
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Abstract

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This paper is concerned with a characterization of the optimal order of convergence of Tikhonov regularization for first kind operator equations in terms of the “smoothness” of the data.

Keywords

regularizationfirst kind operation equationorder of convergence.

MSC classification

Secondary: 65J05: General theory 45E99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 35 , Issue 2 , October 1983 , pp. 254 - 262
Copyright
Copyright © Australian Mathematical Society 1983

References

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