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

Jeff Ledford

arxiv: 1306.6398 · v1 · pith:PPSF65TTnew · submitted 2013-06-27 · 🧮 math.FA

Non-local approximation of continuous functions using scattered translates of the general multiquadric (x²+c²)^(k-1/2)

Jeff Ledford This is my paper

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keywords continuousgeneralmultiquadricscatteredtranslatesaccuracyapproximatedapproximation

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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 $(x^2+c^2)^{k-1/2}$.

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Non-local approximation of continuous functions using scattered translates of the general multiquadric (x²+c²)^(k-1/2)

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