Sparse Grid Approximation in Weighted Wiener Spaces
Sparse Grid Approximation in Weighted Wiener Spaces
Abstract We study approximation properties of multivariate periodic functions from weighted Wiener spaces by sparse grid methods constructed with the help of quasi-interpolation operators. The class of such operators includes classical interpolation and sampling operators, Kantorovich-type operators, scaling expansions associated with wavelet constructions, and others. We obtain the rate of …