On convergence of local averaging regression function estimates for the regularization of inverse problems

DOI10.1088/0266-5611/27/3/035007zbMath1215.65101OpenAlexW2122323702MaRDI QIDQ3086008

Barbara Kaltenbacher, Harro Walk

Publication date: 29 March 2011

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/27/3/035007

zbMATH Keywords

convergenceHilbert spaceinverse problemslinear ill-posed problemsstochastic noiseVolterra integral equations of the first kindstochastic convergenceregularization by discretizationlocal averaging regression function estimates

Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Nonparametric estimation (62G05) Numerical solutions to equations with linear operators (65J10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52) Numerical solution to inverse problems in abstract spaces (65J22)

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