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Applicable Analysis
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Volume 18, 1984 - Issue 1-2
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Original Articles

Error bounds for tikhonov regularization in hilbert scales

Frank Natterer Institut fur Numerische und instrumentelle Mathematik, Miinster, West Gemany, D-4400
Pages 29-37 | Published online: 02 May 2007

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M. Pricop-Jeckstadt. (2019) Nonlinear Tikhonov regularization in Hilbert scales with balancing principle tuning parameter in statistical inverse problems. Inverse Problems in Science and Engineering 27:2, pages 205-236.
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U. Aßmann & A. Rösch. (2015) Regularization in Sobolev Spaces with Fractional Order. Numerical Functional Analysis and Optimization 36:3, pages 271-286.
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Albrecht Böttcher, Bernd Hofmann, Ulrich Tautenhahn & Masahiro Yamamoto. (2006) Convergence rates for Tikhonov regularization from different kinds of smoothness conditions. Applicable Analysis 85:5, pages 555-578.
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Markus Hegland. (1995) Variable hilbert scales and their interpolation inequalities with applications to tikhonov regularization. Applicable Analysis 59:1-4, pages 207-223.
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Torsten Schröter & Ulrich Tautenhahn. (1994) Error estimates for tikhonov regularization in hilbert scales. Numerical Functional Analysis and Optimization 15:1-2, pages 155-168.
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Andreas Neubauer. (1992) Tikhonov regularization of nonlinear III-posed problems in hilbert scales. Applicable Analysis 46:1-2, pages 59-72.
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Martin Hanke. (1992) Regularization with Differential Operators: An Iterative Approach. Numerical Functional Analysis and Optimization 13:5-6, pages 523-540.
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