Interpolation on sparse Gauss-Chebyshev grids in higher dimensions
In this paper, we give a unified approach to error estimates for interpolation on sparse Gauss--Chebyshev grids for multivariate functions from Besov--type spaces with dominating mixed smoothness properties. The error bounds obtained for this method are almost optimal for the considered scale of function spaces.
|Interpolation (msc 41A05), Multidimensional problems (should also be assigned at least one other classification number in this section) (msc 41A63), Interpolation (msc 65D05), Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems (msc 46E35)|
|Modelling, Analysis and Simulation [MAS]|
Sprengel, F. (1998). Interpolation on sparse Gauss-Chebyshev grids in higher dimensions. Modelling, Analysis and Simulation [MAS]. CWI.