Gisela Pöplau, Frauke Sprengel
Some Error Estimates for Periodic Interpolation on Full and Sparse Grids
The paper is published: Curves and Surfaces with Applications in CAGD (Eds. A. LeMéhauté, C. Rabut, and L. L. Schumaker), Vanderbilt University Press, 1997, 355-362

MSC:

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

41A63 Multidimensional problems (should also be assigned at least one other classification number in this section)

Abstract: We give a unified approach to error estimates for periodic
interpolation on full and sparse grids in certain Sobolev spaces. We
impose `periodic' Strang-Fix conditions on the underlying functions
in order to obtain error bounds with explicit constants.

Keywords: multivariate periodic interpolation, strang-fix conditions