The Tikhonov method of regularization (MOR) estimator provides a general method for estimation of a nonparametric regression parameter in an abstract linear model with discrete noisy data. An asymptotic analysis is given in which the discrete estimation problem is approximated by a continuous one. Rates of convergence are calculated in a family of norms natural to the problem. The general theory is applied to the estimation of functions from noisy evaluations of the function and one of its derivatives.
"Approximation of Method of Regularization Estimators." Ann. Statist. 16 (2) 694 - 712, June, 1988. https://doi.org/10.1214/aos/1176350829