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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.
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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: 22 ene. 2025.
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: 22 enero 2025).
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 enero 22, 2025. 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 22 de enero de 2025];35(2):77-9. Disponible en: https://revistas.unal.edu.co/index.php/recolma/article/view/33818
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Derechos de autor 2001 Revista Colombiana de Matemáticas
Esta obra está bajo una licencia internacional Creative Commons Atribución 4.0.
