Metrics associated to multivariate polynomial inequalities

Len Bos, Norm Levenberg and Shayne Waldron


We discuss the Caratheodory type distance due to Dubiner for a compact set K in R^m and introduce a Finsler type distance based on Baran's generalisation of the van der Corput-Schaake polynomial inequality. We then discuss the examples of K a sphere, ball, cube and simplex.

Keywords: Caratheodory type distance, Dubiner metric, van der Corput-Schaake

Math Review Classification: Primary ; Secondary

Length: 15 pages

Last Updated: 2 February 2004