Best one-sided L1 approximation to the Heaviside and sign functions

Autor: Bustamante, Jorge, Quesada, José M., Martínez-Cruz, Reinaldo
Jazyk: angličtina
Předmět:
Zdroj: Journal of Approximation Theory. (6):791-802
ISSN: 0021-9045
DOI: 10.1016/j.jat.2012.02.006
Popis: We find the polynomials of the best one-sided approximation to the Heaviside and sign functions. The polynomials are obtained by Hermite interpolation at the zeros of some Jacobi polynomials. Also we give an estimate of the error of approximation and characterize the extremal points of the convex set of the best approximants.
Databáze: OpenAIRE