Explicit Error Bounds for Spline Interpolation on a Uniform Partition

Error Bounds for Polynomial Spline Interpolation

New upper and lower bounds for the L2 and Vo norms of derivatives of the error in polynomial spline interpolation are derived. These results improve corresponding results of Ahlberg, Nilson, and Walsh, cf. [1], and Schultz and Varga, cf. [5].

Best Error Bounds of Quartic Spline Interpolation

In this paper, we have obtained existence, uniqueness, best error bound and convergence properties of C Deficient Quartic Spline Interpolation. Classification Code Ø 41A05, 65D07.

A New Error Bound for Shifted Surface Spline Interpolation

Shifted surface spline is a frequently used radial function for scattered data interpolation. The most frequently used error bounds for this radial function are the one raised by Wu and Schaback in [17] and the one raised by Madych and Nelson in [14]. Both are O(d) as d → 0, where l is a positive integer and d is the well-known fill-distance which roughly speaking measures the spacing of the da...

Error bounds for bivariate piecewise hermite interpolation

Error bounds for anisotropic RBF interpolation

We present error bounds for the interpolation with anisotropically transformed radial basis functions for both function and its partial derivatives. The bounds rely on a growth function and do not contain unknown constants. For polyharmonic basic functions in R we show that the anisotropic estimates predict a significant improvement of the approximation error if both the target function and the...