In this Note we provide a family of conversion algorithms relating Bernstein polynomials, monomials and the classical families of orthogonal polynomials, such as Jacobi, Gegenbauer, Legendre, Chebyshev, Laguerre and Hermite polynomials.
Dans cette Note nous fournissons une famille d'algorithmes de conversion qui met en relation les polynômes de Bernstein, les monômes et les familles classiques de polynômes orthogonaux, tels que ceux de Jacobi, Gegenbauer, Legendre, Chebyshev, Laguerre ou Hermite.
Accepted:
Published online:
Roberto Barrio 1; Juan Manuel Peña 2
@article{CRMATH_2004__339_4_293_0, author = {Roberto Barrio and Juan Manuel Pe\~na}, title = {Basis conversions among univariate polynomial representations}, journal = {Comptes Rendus. Math\'ematique}, pages = {293--298}, publisher = {Elsevier}, volume = {339}, number = {4}, year = {2004}, doi = {10.1016/j.crma.2004.06.017}, language = {en}, }
Roberto Barrio; Juan Manuel Peña. Basis conversions among univariate polynomial representations. Comptes Rendus. Mathématique, Volume 339 (2004) no. 4, pp. 293-298. doi : 10.1016/j.crma.2004.06.017. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.06.017/
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* The first author is supported by the Spanish Research Grant DGYCT BFM2003-02137 and the second author is supported by the Spanish Research Grant DGYCT BFM2003-03510.
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