Quadrature rules and distribution of points on manifolds
Number Theory
2010-12-27 v1
Abstract
We study the error in quadrature rules on a compact manifold. As in the Koksma-Hlawka inequality, we consider a discrepancy of the sampling points and a generalized variation of the function. In particular, we give sharp quantitative estimates for quadrature rules of functions in Sobolev classes.
Cite
@article{arxiv.1012.5409,
title = {Quadrature rules and distribution of points on manifolds},
author = {Luca Brandolini and Christine Choirat and Leonardo Colzani and Giacomo Gigante and Raffaello Seri and Giancarlo Travaglini},
journal= {arXiv preprint arXiv:1012.5409},
year = {2010}
}