Quadrature Rules for L1-Weighted Norms of Orthogonal Polynomials

  1. Abadias, L. 1
  2. Miana, P.J. 1
  3. Romero, N. 2
  1. 1 Universidad de Zaragoza
    info

    Universidad de Zaragoza

    Zaragoza, España

    ROR https://ror.org/012a91z28

  2. 2 Universidad de La Rioja
    info

    Universidad de La Rioja

    Logroño, España

    ROR https://ror.org/0553yr311

Zeitschrift:
Mediterranean Journal of Mathematics

ISSN: 1660-5446

Datum der Publikation: 2016

Ausgabe: 3

Nummer: 1

Seiten: 1291-1306

Art: Artikel

DOI: 10.1007/S00009-015-0552-0 SCOPUS: 2-s2.0-84924254877 WoS: WOS:000378820200028 GOOGLE SCHOLAR

Andere Publikationen in: Mediterranean Journal of Mathematics

Projekte im Zusammenhang

Ecuaciones no lineales y métodos iterativos. Aplicaciones a problemas de optimización y ecuaciones matriciales. Nonlinear equations and iterative methods. Applications to optimization problems and matrix equations.

2015/00069/001

Zusammenfassung

In this paper, we obtain L1-weighted norms of classical orthogonal polynomials (Hermite, Laguerre and Jacobi polynomials) in terms of the zeros of these orthogonal polynomials; these expressions are usually known as quadrature rules. In particular, these new formulae are useful to calculate directly some positive defined integrals as several examples show. © 2015 Springer Basel