Optimal recovery in problems of solving linear integral equations with a priori information

DOI10.1515/jiip.2007.031zbMath1128.65015OpenAlexW2087568639MaRDI QIDQ5432660

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Publication date: 17 December 2007

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jiip.2007.031

zbMATH Keywords

algorithmsnumerical exampleinverse problemsAbel integral equationlinear functionaloptimal recoveryFredholm integral equation of the first and second kind

Mathematics Subject Classification ID

Algorithms for approximation of functions (65D15) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Fredholm integral equations (45B05) Numerical methods for inverse problems for integral equations (65R32) Inverse problems for integral equations (45Q05)

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Cites Work

• Practical Approximate Solutions to Linear Operator Equations When the Data are Noisy
• The problems of linear and quadratic programming for ill-posed problems on some compact sets