Best one-sided L1 approximation to the Heaviside and sign functions
| Autor: | Jorge Bustamante, José M. Quesada, Reinaldo Martínez-Cruz |
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| Rok vydání: | 2012 |
| Předmět: |
Equioscillation theorem
Numerical Analysis Gegenbauer polynomials Applied Mathematics General Mathematics Discrete orthogonal polynomials Mathematical analysis Classical orthogonal polynomials symbols.namesake Difference polynomials Orthogonal polynomials Wilson polynomials symbols Jacobi polynomials Applied mathematics Analysis Mathematics |
| Zdroj: | Journal of Approximation Theory. 164:791-802 |
| 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 |
| Externí odkaz: |
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