info:eu-repo/semantics/article
Best local weighted approximation: an approach with abstract seminorms
Fecha
2020-02Registro en:
Ridolfi, Claudia Vanina; Best local weighted approximation: an approach with abstract seminorms; Michigan state university press; Real Analysis Exchange; 45; 2; 2-2020; 265-282
9781684301225
0147-1937
CONICET Digital
CONICET
Autor
Ridolfi, Claudia Vanina
Resumen
In this paper, we extend results given by Z´o and Cuenya in 2007 about a general approach to problems of best vector-valued approximation on small regions from a finite dimensional subspace of polynomials of some degree. This approach is called best local approximation. We consider a weighted local approximation of a vector valued function on the origin and a weighted best local approximation of a real valued function on several points, similar to classical problems in best local approximation with balanced neighborhood.