Frauke Sprengel
A Unified Approach to Error Estimates for Interpolation on Full and Sparse Gauß-Chebyshev Grids
The paper is published: Rostocker Mathematisches Kolloquium, Rostock. Math. Kolloq. 51, 51-64(1997)
41A05 Interpolation, See also {42A15 and 65D05}
41A63 Multidimensional problems (should also be assigned at least one other classification number in this section)
65D05 Interpolation
Abstract: We give a unified approach to error estimates for interpolation on
full and sparse Gau"s--Chebyshev grids. We impose Strang--Fix conditions
adapted to interpolation on Gau"s--Chebyshev grids on the underlying
Lagrange functions. This yields error bounds with explicit constants.
Keywords: Interpolation by generalized translates, Strang--Fix conditions, Sparse grids, Boolean sums.