Multiscale interpolation on the sphere: Convergence rate and inverse theorem

Ming Li and Feilong Cao

Applied Mathematics and Computation, 2015, vol. 263, issue C, 134-150

Abstract: In this paper we study the convergence rate and inverse theorem for spherical multiscale interpolation in Lp and Sobolev norms. The multiscale interpolation is constructed using a sequence of scaled, compactly supported radial basis functions restricted to the unit sphere Sn. For the interpolation scheme the problem called “native space barrier” is considered. In addition, a Bernstein type inequality is established to derive an inverse theorem for the multiscale interpolation, and some numerical experiments to illustrate the theoretical results are given.

Keywords: Multiscale interpolation; Sphere; Approximation; Spherical basis function (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:263:y:2015:i:c:p:134-150

DOI: 10.1016/j.amc.2015.04.032

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