Zero localization and asymptotic behavior of orthogonal polynomials of jacobi-sobolev

In this article we consider the Sobolev orthogonal polynomials associated to the Jacobi's measure on [-1, 1]. It is proven that for the class of monic Jacobi-Sobolev orthogonal polynomials, the smallest closed interval that contains its real zeros is [-√(1+2C, √ 1+2C] with C a constant explicit...

Full description

Autores:
Pijeira, Héctor
Quintana, Yamilet
Urbina, Wilfredo
Tipo de recurso:
Article of journal
Fecha de publicación:
2001
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43779
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43779
http://bdigital.unal.edu.co/33877/
Palabra clave:
orthogonal polynomials
asymptotic behavior
distribution of zeros
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional