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

2013/06/26 by Jeff Ledford, Ledford, Jeff
Computer Science · Mathematics · #Iterative Methods for Nonlinear Equations #Mathematical Approximation and Integration #Numerical Methods and Algorithms #math.FA #msc:41A58

paper · pdf · doi:10.48550/arxiv.1306.6398

5 pages

arxiv created 2013/06/27 · arxiv updated 2013/06/28

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 (x²+c²)^k-1/2.

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