Approximation from sparse grids and function spaces of dominating mixed smoothness
Volume 72 / 2006
Banach Center Publications 72 (2006), 271-283
MSC: 41A25, 41A63, 42B99, 46E35.
DOI: 10.4064/bc72-0-18
Abstract
We investigate the convergence and the rate of convergence in $\| \, \cdot \, |L_p\|$, $1 < p < \infty$, of a bivariate interpolating (with respect to a sparse grid) trigonometric polynomial in the framework of Sobolev spaces of dominating mixed smoothness.
