期刊
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS
卷 7, 期 3, 页码 369-390出版社
SPRINGER
DOI: 10.1007/s10208-005-0197-7
关键词
scattered data; spherical basis functions; radial basis functions; error estimates; inverse theorem; Bernstein theorem
The purpose of this paper is to get error estimates for spherical basis function (SBF) interpolation and approximation for target functions in Sobolev spaces less smooth than the SBFs, and to show that the rates achieved are, in a sense, best possible. In addition, we establish a Bernstein-type theorem, where the smallest separation between data sites plays the role of a Nyquist frequency. We then use these Berstein-type estimates to derive inverse estimates for interpolation via SBFs.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据