On convergence of subspaces generated by dilations of polynomials. An application to best local approximation

Fabián E. Levis, Claudia V. Ridolfi
2020 Revista de la Unión Matemática Argentina  
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. 2010 Mathematics Subject Classification. Primary 40A05, 41A10, 41A65.
doi:10.33044/revuma.v61n1a02 fatcat:ylitn5pkfzevzdppaaxwokg2je