Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4607519 | Journal of Approximation Theory | 2012 | 12 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jorge Bustamante, José M. Quesada, Reinaldo Martínez-Cruz,