Local smoothers with regularization Mrázek et al. [25] proposed a unified approach to curve estimation which combines localization and regularization. Franke et al. [10] used that approach to discuss the case of the regularized local least squares (RLLS) estimate. In this thesis we will use the unified approach of Mrázek et al. to study some asymptotic properties of local smoothers with regularization. In particular we shall discuss the Huber M estimate and its limiting cases towards the L2 and the L1 cases. For the regularization part we will use quadratic regularization. Then we will define a more general class of regularization functions. Finally we will do a Monte Carlo simulation study to compare different types of estimates.