Fractional Tikhonov regularization method in Hilbert scales

Chitra Mekoth, Santhosh George and P. Jidesh

Applied Mathematics and Computation, 2021, vol. 392, issue C

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.

Keywords: Ill-posed problem; Fractional Tikhonov regularization; Hilbert scales; Parameter choice strategy (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:392:y:2021:i:c:s0096300320306548

DOI: 10.1016/j.amc.2020.125701

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