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2001-07-01
Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev
Keywords:
Sobolev inner product, orthogonal polynomials, asymptotic behavior, distribution of zeros (es)Downloads
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.
How to Cite
APA
Pijeira, H., Quintana, Y. and 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. and 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 jan. 2025.
Chicago
Pijeira, Héctor, Yamilet Quintana, and 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. and Urbina, W. (2001) “Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev”, Revista Colombiana de Matemáticas, 35(2), pp. 77–97. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33818 (Accessed: 22 January 2025).
IEEE
[1]
H. Pijeira, Y. Quintana, and W. Urbina, “Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev”, rev.colomb.mat, vol. 35, no. 2, pp. 77–97, Jul. 2001.
MLA
Pijeira, H., Y. Quintana, and W. Urbina. “Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev”. Revista Colombiana de Matemáticas, vol. 35, no. 2, July 2001, pp. 77-97, https://revistas.unal.edu.co/index.php/recolma/article/view/33818.
Turabian
Pijeira, Héctor, Yamilet Quintana, and Wilfredo Urbina. “Zero localization and asymptotic behavior of orthogonal polynomials of Jacobi-Sobolev”. Revista Colombiana de Matemáticas 35, no. 2 (July 1, 2001): 77–97. Accessed January 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]. 2001 Jul. 1 [cited 2025 Jan. 22];35(2):77-9. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/33818
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Copyright (c) 2001 Revista Colombiana de Matemáticas
This work is licensed under a Creative Commons Attribution 4.0 International License.
