Dilational interpolatory inequalities

DOI10.1090/S0025-5718-2010-02431-7zbMath1225.65063OpenAlexW1968795224MaRDI QIDQ3168735

Markus Hegland, Robert S. Anderssen

Publication date: 19 April 2011

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2010-02431-7

zbMATH Keywords

error estimatesdilational interpolatory inequalitiesHilbert Scaleimproperly posed operator equationsIndex functionspeak sharpening deconvolution

Mathematics Subject Classification ID

Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Cites Work

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• A mollification framework for improperly posed problems
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• Interpolation in variable Hilbert scales with application to inverse problems
• Regularization of some linear ill-posed problems with discretized random noisy data
• Sparse regularization with l ^q penalty term
• An Optimal Order Regularization Method which Does Not Use Additional Smoothness Assumptions
• Error estimates for tikhonov regularization in hilbert scales
• Geometry of linear ill-posed problems in variable Hilbert scales
• Error bounds for tikhonov regularization in hilbert scales
• Variable hilbert scales and their interpolation inequalities with applications to tikhonov regularization
• Error Estimates for Regularization Methods in Hilbert Scales
• Resolution enhancement of spectra using differentiation
• SCALES OF BANACH SPACES

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