Metrics associated to multivariate polynomial inequalities
Len Bos, Norm Levenberg and Shayne Waldron
Abstract:
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
Availability: