Publicação: Szegö polynomials: quadrature rules on the unit circle and on [-1, 1]
Carregando...
Data
2003-06-01
Autores
Orientador
Coorientador
Pós-graduação
Curso de graduação
Título da Revista
ISSN da Revista
Título de Volume
Editor
Rocky Mt Math Consortium
Tipo
Artigo
Direito de acesso
Acesso aberto

Resumo
We consider some of the relations that exist between real Szegö polynomials and certain para-orthogonal polynomials defined on the unit circle, which are again related to certain orthogonal polynomials on [-1, 1] through the transformation x = (z1/2+z1/2)/2. Using these relations we study the interpolatory quadrature rule based on the zeros of polynomials which are linear combinations of the orthogonal polynomials on [-1, 1]. In the case of any symmetric quadrature rule on [-1, 1], its associated quadrature rule on the unit circle is also given.
Descrição
Palavras-chave
Idioma
Inglês
Como citar
Rocky Mountain Journal of Mathematics, v. 33, n. 2, p. 567-584, 2003.