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Title: Fractional Tikhonov regularization method in Hilbert scales
Authors: Mekoth C.
George S.
Jidesh P.
Issue Date: 2021
Citation: Applied Mathematics and Computation Vol. 392 , , p. -
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.
Appears in Collections:1. Journal Articles

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