Optimal convergence rates for Tikhonov regularization in Besov scales

DOI10.1515/JIIP.2009.008zbMath1159.65053OpenAlexW2049341642MaRDI QIDQ5901466

Dennis Trede, Dirk A. Lorenz

Publication date: 3 March 2009

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2009.008

zbMATH Keywords

Besov spaceconvergence rateTikhonov regularizationlinear inverse problemsscales of Banach spaces

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)

Cites Work

• Convergence rates and source conditions for Tikhonov regularization with sparsity constraints
• Iterated Hard Shrinkage for Minimization Problems with Sparsity Constraints
• Levenberg–Marquardt level set methods for inverse obstacle problems
• Error bounds for tikhonov regularization in hilbert scales
• A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators
• Shrinkage versus deconvolution
• Error estimates for non-quadratic regularization and the relation to enhancement
• Regularization of ill-posed problems in Banach spaces: convergence rates
• Optimal convergence rates for Tikhonov regularization in Besov scales

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