Fractional Tikhonov regularization method in Hilbert scales

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dc.contributor.authorMekoth, C.
dc.contributor.authorGeorge, S.
dc.contributor.authorPadikkal, P.
dc.date.accessioned2026-02-05T09:27:21Z
dc.date.issued2021
dc.description.abstractFractional 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.
dc.identifier.citationApplied Mathematics and Computation, 2021, 392, , pp. -
dc.identifier.issn963003
dc.identifier.urihttps://doi.org/10.1016/j.amc.2020.125701
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/23334
dc.publisherElsevier Inc. sinfo-f@elsevier.com
dc.subjectMathematical operators
dc.subjectError estimates
dc.subjectHilbert scale
dc.subjectIll-posed operator equation
dc.subjectNew parameters
dc.subjectRegularization parameters
dc.subjectSource conditions
dc.subjectTikhonov regularization method
dc.subjectParameterization
dc.titleFractional Tikhonov regularization method in Hilbert scales

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