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2001-07-01
Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev
Mots-clés :
Sobolev inner product, orthogonal polynomials, asymptotic behavior, distribution of zeros (es)Téléchargements
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.
Comment citer
APA
Pijeira, H., Quintana, Y. et 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. et Urbina, W. 2001. Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev. Revista Colombiana de Matemáticas. 35, 2 (juill. 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 janv. 2025.
Chicago
Pijeira, Héctor, Yamilet Quintana, et 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. et Urbina, W. (2001) « Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev », Revista Colombiana de Matemáticas, 35(2), p. 77–97. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/33818 (Consulté le: 22 janvier 2025).
IEEE
[1]
H. Pijeira, Y. Quintana, et W. Urbina, « Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev », rev.colomb.mat, vol. 35, nᵒ 2, p. 77–97, juill. 2001.
MLA
Pijeira, H., Y. Quintana, et W. Urbina. « Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev ». Revista Colombiana de Matemáticas, vol. 35, nᵒ 2, juillet 2001, p. 77-97, https://revistas.unal.edu.co/index.php/recolma/article/view/33818.
Turabian
Pijeira, Héctor, Yamilet Quintana, et Wilfredo Urbina. « Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev ». Revista Colombiana de Matemáticas 35, no. 2 (juillet 1, 2001): 77–97. Consulté le janvier 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 juill. 2001 [cité 22 janv. 2025];35(2):77-9. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/33818
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© Revista Colombiana de Matemáticas 2001
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