On the interval Legendre polynomials

Authors:
F. Patrício;J. A. Ferreira;F. Oliveira
Affiliations:
Department of Mathematics, University of Coimbra, Apartado 3008, Coimbra 3000, Portugal;Department of Mathematics, University of Coimbra, Apartado 3008, Coimbra 3000, Portugal;Department of Mathematics, University of Coimbra, Apartado 3008, Coimbra 3000, Portugal
Venue:
Journal of Computational and Applied Mathematics
Year:
2003

Citing 2
Cited 0

A priori estimates for the zeros of interval polynomials

Journal of Computational and Applied Mathematics
Methods and Applications of Interval Analysis (SIAM Studies in Applied and Numerical Mathematics) (Siam Studies in Applied Mathematics, 2.)

Methods and Applications of Interval Analysis (SIAM Studies in Applied and Numerical Mathematics) (Siam Studies in Applied Mathematics, 2.)

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Abstract

In this paper, the extention to interval theory of the classical Legendre polynomials is considered. The so-called interval Legendre polynomials are introduced and some properties are studied. Based on these polynomials an interval minimum square approximation is introduced when continuous and discrete data are taken.