Approximation properties of zonal function networks using scattered data on the sphere


A zonal function (ZF) network is a function of the form x 7→ ∑n k=1 ckφ(x · yk), where x and the yk’s are on the on the unit sphere in q+1 dimensional Euclidean space, and where the yk’s are scattered points. In this paper, we study the degree of approximation by ZF networks. In particular, we compare this degree of approximation with that obtained with the… (More)
DOI: 10.1023/A:1018967708053