On Symmetric (1, 1)-Coherent Pairs and Sobolev Orthogonal polynomials: an algorithm to compute Fourier coefficients

Herbert Dueñas Ruiz; Francisco Marcellán; Alejandro Molano

Publicado

2019-07-01

On Symmetric (1, 1)-Coherent Pairs and Sobolev Orthogonal polynomials: an algorithm to compute Fourier coefficients

Sobre (1, 1) pares coherentes simétricos y polinomios ortogonales Sobolev: un algoritmo para calcular coeficientes de Fourier

Palabras clave:

Orthogonal polynomials, Symmetric (1 1)-coherent pairs, Sobolev-Fourier series (en)
Polinomios ortogonales, Pares Simétricos (1 1)-Coherentes, Series Sobolev-Fourier (es)

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Autores/as

Herbert Dueñas Ruiz Universidad Nacional de Colombia
Francisco Marcellán Universidad Carlos III de Madrid and Instituto de Ciencias Matemáticas (ICMAT)
Alejandro Molano Universidad Pedagógica y Tecnológica de Colombia

Resumen (en)
Resumen (es)

In the pioneering paper [13], the concept of Coherent Pair was introduced by Iserles et al. In particular, an algorithm to compute Fourier Coefficients in expansions of Sobolev orthogonal polynomials defined from coherent pairs of measures supported on an infinite subset of the real line is described. In this paper we extend such an algorithm in the framework of the so called Symmetric (1, 1)-Coherent Pairs presented in [8].

En el artículo pionero [13], fue introducido el concepto de Par Coherente por Iserles et al. En particular, allí es descrito un algoritmo para calcular coeficientes de Fourier de expansiones de polinomios ortogonales de tipo Sobolev definidos a partir de pares de medidas coherentes soportadas en un subconjunto infinito de la recta real. En esta contribución extendemos tal algoritmo en el contexto de los llamados Pares Simétricos (1, 1)-Coherentes presentados en [8].

Citas

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