12 citations · 34 across the 17 of their papers we have counts for
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An Extension of the Exponential-type Error Bounds for Multiquadric and Gaussian Interpolations
Lin-Tian Luh
In the 1990's exponential-type error bounds appeared in the theory of radial basis functions. This kind of error bounds is very powerful. However it only measures the difference be…
On Wu and Schaback's Error Bound
Lin-Tian Luh
In this paper we point out that the commonly used error bound in the theory of radial basis functions contains an important error. It doesn't apply for derivatives. Thus one should…
The high-level error bound for shifted surface spline interpolation
Lin-Tian Luh
Radial function interpolation of scattered data is a frequently used method for multivariate data fitting. One of the most frequently used radial functions is called shifted surfac…
A Smooth and Compactly Supported Radial Function
Lin-Tian Luh
In the field of radial basis functions mathematicians have been endeavouring to find infinitely differentiable and compactly supported radial functions. This kind of functions are…
A New Radial Function
Lin-Tian Luh
In the field of radial basis functions mathematicians have been endeavouring to find infinitely differentiable and compactly supported radial functions. This kind of functions is e…
On the High-Level Error Bound for Gaussian Interpolation
Lin-Tian Luh
It's well-known that there is a very powerful error bound for Gaussians put forward by Madych and Nelson in 1992. It's of the form$% | f(x)-s(x)| \leq (Cd)^{\frac{c}{d}}\left\Vert…