We construct web-shaped polynomial norming meshes on starlike polygons by radial and boundary Chebyshev points, via the approximation theoretic notion of Dubiner distance. As an application, we get a (1−eps)-approximation to the minimum of an arbitrary polynomial of degree n by O(nˆ2/eps) sampling points.
Chebyshev-Dubiner norming webs on starlike polygons
marco vianello
2019
Abstract
We construct web-shaped polynomial norming meshes on starlike polygons by radial and boundary Chebyshev points, via the approximation theoretic notion of Dubiner distance. As an application, we get a (1−eps)-approximation to the minimum of an arbitrary polynomial of degree n by O(nˆ2/eps) sampling points.
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