Simultaneous Approximation of a Multivariate Function and its Derivatives by Multilinear Splines
Numerical Analysis
2013-08-27 v1
Abstract
In this paper we consider the approximation of a function by its interpolating multilinear spline and the approximation of its derivatives by the derivatives of the corresponding spline. We derive formulas for the uniform approximation error on classes of functions with moduli of continuity bounded above by certain majorants.
Cite
@article{arxiv.1308.5267,
title = {Simultaneous Approximation of a Multivariate Function and its Derivatives by Multilinear Splines},
author = {Ryan Anderson and Yuliya Babenko and Tetiana Leskevych},
journal= {arXiv preprint arXiv:1308.5267},
year = {2013}
}
Comments
21 pages