A Lagrange-type projector on the real line
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- by G. Mastroianni and I. Notarangelo PDF
- Math. Comp. 79 (2010), 327-352 Request permission
Abstract:
We introduce an interpolation process based on some of the zeros of the $m$th generalized Freud polynomial. Convergence results and error estimates are given. In particular we show that, in some important function spaces, the interpolating polynomial behaves like the best approximation. Moreover the stability and the convergence of some quadrature rules are proved.References
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Additional Information
- G. Mastroianni
- Affiliation: Dipartimento di Matematica e Informatica, Università degli Studi della Basilicata, V.le dell’Ateneo Lucano 10, I-85100 Potenza, Italy
- Email: mastroianni.csafta@unibas.it
- I. Notarangelo
- Affiliation: Dipartimento di Matematica e Informatica, Università degli Studi della Basilicata, V.le dell’Ateneo Lucano 10, I-85100 Potenza, Italy
- Email: incoronata.notarangelo@unibas.it
- Received by editor(s): March 31, 2008
- Received by editor(s) in revised form: March 23, 2009
- Published electronically: July 7, 2009
- Additional Notes: This research was partially supported by Ministero dell’Università e della Ricerca, PRIN 2006 “Numerical methods for structured linear algebra and applications”.
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Math. Comp. 79 (2010), 327-352
- MSC (2000): Primary 41A05, 65D05, 65D30, 65D32; Secondary 41A10
- DOI: https://doi.org/10.1090/S0025-5718-09-02278-9
- MathSciNet review: 2552229
Dedicated: Dedicated to Professor J. Szabados on the occasion of his 70th birthday