Correo Electrónico
DNINFOA - SIA
Bibliotecas
Convocatorias
Identidad U.N.
Publicado
2001-07-01
Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev
Palabras clave:
Sobolev inner product, orthogonal polynomials, asymptotic behavior, distribution of zeros (es)Descargas
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 explicitly determined. The asymptotic distribution of those zeros is studied and also we analyze the asymptotic comparative behavior between the sequence of monic Jacobi-Sobolev orthogonal polynomials and the sequence of monic Jacobi ortogonal polynomials under certain restrictions.
Cómo citar
APA
Pijeira, H., Quintana, Y. y Urbina, W. (2001). Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev. Revista Colombiana de Matemáticas, 35(2), 77–97. https://revistas.unal.edu.co/index.php/recolma/article/view/33818
ACM
[1]
Pijeira, H., Quintana, Y. y Urbina, W. 2001. Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev. Revista Colombiana de Matemáticas. 35, 2 (jul. 2001), 77–97.
ACS
(1)
Pijeira, H.; Quintana, Y.; Urbina, W. Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev. rev.colomb.mat 2001, 35, 77-97.
ABNT
PIJEIRA, H.; QUINTANA, Y.; URBINA, W. Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev. Revista Colombiana de Matemáticas, [S. l.], v. 35, n. 2, p. 77–97, 2001. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33818. Acesso em: 19 abr. 2024.
Chicago
Pijeira, Héctor, Yamilet Quintana, y Wilfredo Urbina. 2001. «Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev». Revista Colombiana De Matemáticas 35 (2):77-97. https://revistas.unal.edu.co/index.php/recolma/article/view/33818.
Harvard
Pijeira, H., Quintana, Y. y Urbina, W. (2001) «Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev», Revista Colombiana de Matemáticas, 35(2), pp. 77–97. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/33818 (Accedido: 19 abril 2024).
IEEE
[1]
H. Pijeira, Y. Quintana, y W. Urbina, «Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev», rev.colomb.mat, vol. 35, n.º 2, pp. 77–97, jul. 2001.
MLA
Pijeira, H., Y. Quintana, y W. Urbina. «Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev». Revista Colombiana de Matemáticas, vol. 35, n.º 2, julio de 2001, pp. 77-97, https://revistas.unal.edu.co/index.php/recolma/article/view/33818.
Turabian
Pijeira, Héctor, Yamilet Quintana, y Wilfredo Urbina. «Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev». Revista Colombiana de Matemáticas 35, no. 2 (julio 1, 2001): 77–97. Accedido abril 19, 2024. https://revistas.unal.edu.co/index.php/recolma/article/view/33818.
Vancouver
1.
Pijeira H, Quintana Y, Urbina W. Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev. rev.colomb.mat [Internet]. 1 de julio de 2001 [citado 19 de abril de 2024];35(2):77-9. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/33818
Descargar cita
Visitas a la página del resumen del artículo
173
Descargas
Los datos de descargas todavía no están disponibles.
Licencia
Derechos de autor 2001 Revista Colombiana de Matemáticas
Esta obra está bajo una licencia internacional Creative Commons Atribución 4.0.
