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On convergence of subspaces generated by dilations of polynomials. An
application to best local approximation
Volume 61, no. 1
(2020),
pp. 49–62
https://doi.org/10.33044/revuma.v61n1a02
Abstract
We study the convergence of a net of subspaces generated by dilations of
polynomials in a finite dimensional subspace. As a consequence, we extend the
results given by Zó and Cuenya [Advanced Courses of Mathematical Analysis
II (Granada, 2004), 193–213, World Scientific, 2007] on a general
approach to the problems of best vector-valued approximation on small regions
from a finite dimensional subspace of polynomials.
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Published by the Unión Matemática Argentina |
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