Fractional Tikhonov regularization method in Hilbert scales
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Date
2021
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Journal ISSN
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Publisher
Elsevier Inc. sinfo-f@elsevier.com
Abstract
Fractional Tikhonov regularization method (FTRM) for linear ill-posed operator equations in the setting of Hilbert scales is being studied in this paper. Using a general Holder type source condition, we obtain an error estimate. A new parameter choice strategy is being proposed for choosing the regularization parameter in FTRM in the setting of Hilbert scales. Also, the proposed method is applied to the well known examples in the setting of Hilbert scales. © 2020 Elsevier Inc.
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Keywords
Mathematical operators, Error estimates, Hilbert scale, Ill-posed operator equation, New parameters, Regularization parameters, Source conditions, Tikhonov regularization method, Parameterization
Citation
Applied Mathematics and Computation, 2021, 392, , pp. -