Approximation from sparse grids and function spaces of dominating mixed smoothness

@article{WinfriedSickel2006,
abstract = {We investigate the convergence and the rate of convergence in $||·|L_p||$, 1 < p < ∞, of a bivariate interpolating (with respect to a sparse grid) trigonometric polynomial in the framework of Sobolev spaces of dominating mixed smoothness.},
author = {Winfried Sickel},
journal = {Banach Center Publications},
keywords = {trigonometric interpolation; blending operators; rate of convergence; function spaces of dominating mixed smoothness; approximate recovery},
language = {eng},
number = {1},
pages = {271-283},
title = {Approximation from sparse grids and function spaces of dominating mixed smoothness},
url = {http://eudml.org/doc/281606},
volume = {72},
year = {2006},
}

TY - JOUR
AU - Winfried Sickel
TI - Approximation from sparse grids and function spaces of dominating mixed smoothness
JO - Banach Center Publications
PY - 2006
VL - 72
IS - 1
SP - 271
EP - 283
AB - We investigate the convergence and the rate of convergence in $||·|L_p||$, 1 < p < ∞, of a bivariate interpolating (with respect to a sparse grid) trigonometric polynomial in the framework of Sobolev spaces of dominating mixed smoothness.
LA - eng
KW - trigonometric interpolation; blending operators; rate of convergence; function spaces of dominating mixed smoothness; approximate recovery
UR - http://eudml.org/doc/281606
ER -