Non-local approximation of continuous functions using scattered translates of the general multiquadric $(x^2+c^2{)}^{k-1/2}$

Abstract

This article shows that on a closed interval $[a,b]$ a continuous function may be approximated to an arbitrary degree of accuracy using scattered translates of the general multiquadric $(x^2+c^2{)}^{k-1/2}$.

arXiv comment5 pages