English

The proof of Tchakaloff's Theorem

Numerical Analysis 2007-05-23 v2

Abstract

We provide a simple proof of Tchakaloff's Theorem on the existence of cubature formulas of degree mm for Borel measures with moments up to order mm. The result improves known results for non-compact supports, since we do not need conditions on (m+1)(m+1)st moments.

Keywords

Cite

@article{arxiv.math/0502473,
  title  = {The proof of Tchakaloff's Theorem},
  author = {Christian Bayer and Josef Teichmann},
  journal= {arXiv preprint arXiv:math/0502473},
  year   = {2007}
}
R2 v1 2026-07-22T17:15:57.796Z