作者: W. A. Light
DOI: 10.1007/978-94-011-2634-2_8
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摘要: This paper deals with three basic aspects of radial basis approximation. A typical example such an approximation is the following. function f in C (ℝn) to be approximated by a linear combination ‘easily computable’ functions g 1,…, m For these simplest choice context define i x ↦ ∥x − i∥2 for ∈ ℝn and = l,2,…,m. Here ∥ · ∥2 usual Euclidean norm on ℝn. These are certainly easily computable, but do they form flexible approximating set? There various ways posing question flexibility, we consider here possible criteria which effectiveness approximations may judged. labelled density, interpolation order convergence exposition.