Refined Error Estimates for Radial Basis Function Interpolation
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We discuss new and refined error estimates for radial-function scattered data interpolants and their derivatives. These estimates hold on Rd, the d-torus, and the 2-sphere. We employ a new technique, involving norming sets, that enables us to obtain error estimates, which in many cases give bounds orders of magnitude smaller than those previously known.
author list (cited authors)
Narcowich, F. J., Ward, J. D., & Wendland, H.