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1990-01-01
On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain Jacobi polynomials
Mots-clés :
Hermite-Fejér interpolation, function, Jacobi polynomials, rate convergence points of continuity, zeros of the Legendre polynomials (es)
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In this paper, we study the Hermite-Fejér interpolation, Hn(f,x), for a function f of bounded variation on [-1,1] when the inter)olation is taken over the zeros of Jacobi polynomials,
Pn (∝,β ) (x) when |∝|, | β| ≤ ½.
Our main result is an estimate for the rate of convergence of Hn(f,x) at points of continuity of f,and a special attention is given to the interpolation over the zeros of the Legendre polynomials.<-->
Comment citer
APA
Al-Jarrah, R. et Rababah, A. (1990). On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain Jacobi polynomials. Revista Colombiana de Matemáticas, 24(1-2), 51–64. https://revistas.unal.edu.co/index.php/recolma/article/view/33206
ACM
[1]
Al-Jarrah, R. et Rababah, A. 1990. On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain Jacobi polynomials. Revista Colombiana de Matemáticas. 24, 1-2 (janv. 1990), 51–64.
ACS
(1)
Al-Jarrah, R.; Rababah, A. On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain Jacobi polynomials. rev.colomb.mat 1990, 24, 51-64.
ABNT
AL-JARRAH, R.; RABABAH, A. On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain Jacobi polynomials. Revista Colombiana de Matemáticas, [S. l.], v. 24, n. 1-2, p. 51–64, 1990. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/33206. Acesso em: 22 janv. 2025.
Chicago
Al-Jarrah, Radwan, et Abedallah Rababah. 1990. « On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain Jacobi polynomials ». Revista Colombiana De Matemáticas 24 (1-2):51-64. https://revistas.unal.edu.co/index.php/recolma/article/view/33206.
Harvard
Al-Jarrah, R. et Rababah, A. (1990) « On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain Jacobi polynomials », Revista Colombiana de Matemáticas, 24(1-2), p. 51–64. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/33206 (Consulté le: 22 janvier 2025).
IEEE
[1]
R. Al-Jarrah et A. Rababah, « On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain Jacobi polynomials », rev.colomb.mat, vol. 24, nᵒ 1-2, p. 51–64, janv. 1990.
MLA
Al-Jarrah, R., et A. Rababah. « On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain Jacobi polynomials ». Revista Colombiana de Matemáticas, vol. 24, nᵒ 1-2, janvier 1990, p. 51-64, https://revistas.unal.edu.co/index.php/recolma/article/view/33206.
Turabian
Al-Jarrah, Radwan, et Abedallah Rababah. « On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain Jacobi polynomials ». Revista Colombiana de Matemáticas 24, no. 1-2 (janvier 1, 1990): 51–64. Consulté le janvier 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/33206.
Vancouver
1.
Al-Jarrah R, Rababah A. On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain Jacobi polynomials. rev.colomb.mat [Internet]. 1 janv. 1990 [cité 22 janv. 2025];24(1-2):51-64. Disponible à: https://revistas.unal.edu.co/index.php/recolma/article/view/33206
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© Revista Colombiana de Matemáticas 1990
Cette œuvre est sous licence Creative Commons Attribution 4.0 International.
