Miscellaneous error bounds for multiquadric and related interpolators
نویسندگان
چکیده
منابع مشابه
An Extension of the Exponential-type Error Bounds for Multiquadric and Gaussian Interpolations
In the 1990’s exponential-type error bounds appeared in the theory of radial basis functions. For multiquadric interpolation it is O(λ 1 d ) as d → 0, where λ is a constant satisfying 0 < λ < 1. For Gaussian interpolation it is O(C d) c′ d as d → 0 where C ′ and c are constants. In both cases the parameter d, called fill distance, measures the spacing of the points where interpolation occurs. T...
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It’s well-known that there is a so-called high-level error bound for multiquadric and inverse multiquadric interpolations, which was put forward by Madych and Nelson in 1992. It’s of the form |f(x)− s(x)| ≤ λ 1 d ‖f‖h where 0 < λ < 1 is a constant, d is the fill distance which roughly speaking measures the spacing of the data points, s(x) is the interpolating function of f(x), and h denotes the...
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ژورنال
عنوان ژورنال: Computers & Mathematics with Applications
سال: 1992
ISSN: 0898-1221
DOI: 10.1016/0898-1221(92)90175-h