We discuss the Siciak-Zakharyuta extremal function of pluripotential theory for the unit ball in C-d for spaces of polynomials with the notion of degree determined by a convex body P: We then use it to analyze the approximation properties of such polynomial spaces, and how these may differ depending on the function f to be approximated.
The extremal function for the complex ball for generalized notions of degree and multivariate polynomial approximation
Piazzon F.
2019
Abstract
We discuss the Siciak-Zakharyuta extremal function of pluripotential theory for the unit ball in C-d for spaces of polynomials with the notion of degree determined by a convex body P: We then use it to analyze the approximation properties of such polynomial spaces, and how these may differ depending on the function f to be approximated.File in questo prodotto:
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