Narcowich, F. J.F. J.NarcowichWard, Joseph D.Joseph D.WardWendland, HolgerHolgerWendland2018-11-072018-11-072003https://resolver.sub.uni-goettingen.de/purl?gro-2/46740We discuss new and refined error estimates for radial-function scattered-data interpolants and their derivatives. These estimates hold on R-d, 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.journal_article10.1007/s00365-002-0529-7000185190400004