Winfried Sickel, Frauke Sprengel
Interpolation on sparse grids and Nikol'skij-Besov spaces of dominating mixed smoothness
Preprint series: Preprints aus dem Fachbereich Mathematik, Universität Rostock

MSC:

41A05 Interpolation, See also {42A15 and 65D05}

46E35 Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems

Abstract: We investigate the order of convergence of periodic
interpolation on sparse grids (blending interpolation)
in the framework of Nikol'skij-Besov spaces of dominating
mixed smoothness.
Keywords: Periodic Interpolation, Sparse Grids, Nikol'skij-Besov spaces of dominating mixed smoothness