Asymptotics of Sobolev orthogonal polynomials for Hermite (1,1)-coherent pairs

2018 ◽  
Vol 467 (1) ◽  
pp. 601-621 ◽  
Author(s):  
Herbert Dueñas Ruiz ◽  
Francisco Marcellán Español ◽  
Alejandro Molano Molano
Keyword(s):  
Orthogonal Polynomials ◽  
Sobolev Orthogonal Polynomials ◽  
Coherent Pairs

scholarly journals Asymptotics for Jacobi–Sobolev orthogonal polynomials associated with non-coherent pairs of measures

2010 ◽  
Vol 162 (11) ◽  
pp. 1945-1963 ◽  
Author(s):  
Eliana X.L. de Andrade ◽  
Cleonice F. Bracciali ◽  
Laura Castaño-García ◽  
Juan J. Moreno-Balcázar
Keyword(s):  
Orthogonal Polynomials ◽  
Sobolev Orthogonal Polynomials ◽  
Coherent Pairs

scholarly journals Laguerre–Sobolev orthogonal polynomials: asymptotics for coherent pairs of type II

2003 ◽  
Vol 122 (1) ◽  
pp. 79-96 ◽  
Author(s):  
Manuel Alfaro ◽  
Juan J. Moreno-Balcázar ◽  
M.Luisa Rezola
Keyword(s):  
Orthogonal Polynomials ◽  
Type Ii ◽  
Sobolev Orthogonal Polynomials ◽  
Coherent Pairs

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

2019 ◽  
Vol 53 (2) ◽  
pp. 139-164
Author(s):  
Herbert Dueñas Ruiz ◽  
Francisco Marcellán ◽  
Alejandro Molano
Keyword(s):  
Orthogonal Polynomials ◽  
Real Line ◽  
Fourier Coefficients ◽  
Infinite Subset ◽  
The Real ◽  
Sobolev Orthogonal Polynomials ◽  
Coherent Pair ◽  
Coherent Pairs

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].

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