Strong equivalences of approximation numbers and tractability of weighted anisotropic Sobolev embeddings

JiDong Hao, Heping Wang

In this paper, we study multivariate approximation defined over weighted anisotropic Sobolev spaces which depend on two sequences $\mathbf{a}=\{a_j{\}}_{j\ge 1}$ and ${\bf b}=\{b_j\}_{j…