Mekoth, C.George, S.Padikkal, P.Cho, Y.J.2026-02-042022Journal of Analysis, 2022, , , pp. -9713611https://doi.org/10.1007/s41478-022-00516-9https://idr.nitk.ac.in/handle/123456789/22752We 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.Discrepancy principleFinite dimensionHilbert scalesIll-posed problemLavrentiev Regularization