On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain Jacobi polynomials

Radwan Al-Jarrah; Abedallah Rababah

Published

1990-01-01

On the rate of convergence of hermite-fejér polynomials to functions of bounded variation on the zeros of certain Jacobi polynomials

Keywords:

Hermite-Fejér interpolation, function, Jacobi polynomials, rate convergence points of continuity, zeros of the Legendre polynomials (es)

Downloads

PDF (Español)

Authors

Radwan Al-Jarrah Yarmouk University
Abedallah Rababah Yarmour University

Abstract (en)

In this paper, we study the Hermite-Fejér interpolation, H_n(f,x), for a function f of bounded variation on [-1,1] when the inter)olation is taken over the zeros of Jacobi polynomials,

P_n(∝,β ) (x) when |∝|, | β| ≤ ½.

Our main result is an estimate for the rate of convergence of H_n(f,x) at points of continuity of f,and a special attention is given to the interpolation over the zeros of the Legendre polynomials.<-->

How to Cite

APA

Al-Jarrah, R. and 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. and 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 (Jan. 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 jan. 2025.

Chicago

Al-Jarrah, Radwan, and 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. and 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), pp. 51–64. Available at: https://revistas.unal.edu.co/index.php/recolma/article/view/33206 (Accessed: 22 January 2025).

IEEE

[1]

R. Al-Jarrah and 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, pp. 51–64, Jan. 1990.

MLA

Al-Jarrah, R., and 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, Jan. 1990, pp. 51-64, https://revistas.unal.edu.co/index.php/recolma/article/view/33206.

Turabian

Al-Jarrah, Radwan, and 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 (January 1, 1990): 51–64. Accessed January 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]. 1990 Jan. 1 [cited 2025 Jan. 22];24(1-2):51-64. Available from: https://revistas.unal.edu.co/index.php/recolma/article/view/33206