Operator norm bounds and error bounds for quadratic spline interpolation

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.

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...

Error Bounds for Exponential Operator Splittings

Error bounds for the Strang splitting in the presence of unbounded operators are derived in a general setting and are applied to evolutionary Schrödinger equations and their pseudo-spectral space discretization. AMS subject classification: 65M15, 65L05, 65M70.