Optimal polynomial meshes exist on any multivariate convex domain

Abstract

We show that optimal polynomial meshes exist for every convex body in ${\mathbb{R}}^d$, confirming a conjecture by A. Kroo.

References in corpus (1)

• Geometric computation of Christoffel functions on planar convex domains

Cited by in corpus (3)

• Sampling discretization of the uniform norm and applications
• Approximation of Functions: Optimal Sampling and Complexity
• Dimension-free discretizations of the uniform norm by small product sets