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search.filters.author.Mekoth, C.
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search.filters.author.Cho, Y.J.
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search.filters.author.George, S.
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search.filters.author.Padikkal, P.
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search.filters.subject.Discrepancy principle
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search.filters.subject.Finite dimension
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search.filters.subject.Hilbert scales
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search.filters.subject.Ill-posed problem
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search.filters.subject.Lavrentiev Regularization
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Projection method for Fractional Lavrentiev Regularisation method in Hilbert scales
(
Springer Science and Business Media B.V.
,
2022
)
Mekoth, C.
;
George, S.
;
Padikkal, P.
;
Cho, Y.J.
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We study finite dimensional Fractional Lavrentiev Regularization (FLR) method for linear ill-posed operator equations in the Hilbert scales. We obtain an optimal order error estimate under Hölder type source condition and under a parameter choice strategy. Numerical experiments confirming the theoretical results are also given. © 2022, The Author(s), under exclusive licence to The Forum D’Analystes.
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