R. Grigorieff
tlooto Summary
It is shown that the interpolation problem for multiple knot cardinal splines subject to general interpolation conditions has a unique solution with polynomial growth if the data grow correspondingly provided a certain determinantal condition is satisfied.
Abstract
Abstract. In the present paper it is shown that the interpolation problem for multiple knot cardinal splines subject to general interpolation conditions has a unique solution with polynomial growth if the data grow correspondingly provided a certain determinantal condition is satisfied. An application to Hs error estimates for the interpolation with periodic multiple knot splines is given.
Citation format
GRIGORIEFF, R. On cardinal spline interpolation. Computational Methods in Applied Mathematics, 2013, 13: 39–54.