Multivariate polynomial approximation in the hypercube

A theorem is proved concerning approximation of analytic functions by multivariate polynomials in the s-dimensional hypercube. The geometric convergence rate is determined not by the usual notion of degree of a multivariate polynomial, but by the Euclidean degree, defined in terms of the 2-norm rath...

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Bibliographic Details
Main Author: Trefethen, L
Format: Journal article
Published: American Mathematical Society 2017
Subjects: