Mekoth, C.George, S.Padikkal, P.2026-02-042023Hacettepe Journal of Mathematics and Statistics, 2023, 52, 3, pp. 729-75213035010https://doi.org/10.15672/hujms.1092739https://idr.nitk.ac.in/handle/123456789/22135One of the most crucial parts of applying a regularization method to solve an ill-posed problem is choosing a regularization parameter to obtain an optimal order error estimate. In this paper, we consider the finite dimensional realization of the parameter choice strategy proposed in [C. Mekoth, S. George and P. Jidesh, Appl. Math. Comput. 392, 125701, 2021] for Fractional Tikhonov regularization method for linear ill-posed operator equations in the setting of Hilbert scales. © 2023, Hacettepe University. All rights reserved.finite dimensional realizationfractional Tikhonov regularizationHilbert scalesill-posed problemparameter choice strategy