Weighted sampling recovery of functions with mixed smoothness
Weighted sampling recovery of functions with mixed smoothness
We study sparse-grid linear sampling algorithms and their optimality for approximate recovery of functions with mixed smoothness on $\mathbb{R}^d$ from a set of $n$ their sampled values in two different settings: (i) functions to be recovered are in weighted Sobolev spaces $W^r_{p,w}(\mathbb{R}^d)$ of mixed smoothness and the approximation error is …