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

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