Convergence Rates for Regularized Solutions of Integral Equations from Discrete Noisy Data
Convergence Rates for Regularized Solutions of Integral Equations from Discrete Noisy Data
Given data $y_i = (Kg)(u_i) + \varepsilon_i$ where the $\varepsilon$'s are random errors, the $u$'s are known, $g$ is an unknown function in a reproducing kernel space with kernel $r$ and $K$ is a known integral operator, it is shown how to calculate convergence rates for the regularized solution of …