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Projection method for Fractional Lavrentiev Regularisation method in Hilbert scales
- Authors
- Mekoth, Chitra; George, Santhosh; Jidesh, P.; Cho, Yeol Je
- Issue Date
- Jun-2023
- Publisher
- SPRINGERNATURE
- Keywords
- Lavrentiev Regularization; Ill-posed problem; Hilbert scales; Discrepancy principle; Finite dimension
- Citation
- JOURNAL OF ANALYSIS, v.31, no.2, pp 1303 - 1333
- Pages
- 31
- Indexed
- SCOPUS
ESCI
- Journal Title
- JOURNAL OF ANALYSIS
- Volume
- 31
- Number
- 2
- Start Page
- 1303
- End Page
- 1333
- ISSN
- 0971-3611
2367-2501
- Abstract
- 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 Holder type source condition and under a parameter choice strategy. Numerical experiments confirming the theoretical results are also given.
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