Convergence of Hermite-Fejér interpolation over roots of third-kind Chebyshev polynomials

Rababah, Abedallah

International Journal of Advanced and Applied Sciences

Int. j. adv. appl. sci.

EISSN: 2313-3724

Print ISSN: 2313-626X

Volume 3, Issue 12 (December 2016), Pages: 69-72

Title: Convergence of Hermite-Fejér interpolation over roots of third-kind Chebyshev polynomials

Author(s): Abedallah Rababah *

Affiliation(s):

Department of mathematics and staticstic, Jordan University of Science and Technology, 22110 Irbid, Jordan

https://doi.org/10.21833/ijaas.2016.12.010

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Abstract:

This paper considers the Hermite-Fejér interpolation to functions of bounded variation. This interpolation is considered when the nodes of interpolation are taken to be the roots of the third-kind Chebyshev polynomials. An estimate for the rate of convergence at the points of continuity for functions of bounded variations is given. It is also shown that, in this case, the rate of convergence cannot be improved asymptotically.

This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

Keywords: Chebyshev polynomials, Hermite-Fejér interpolation, Functions of bounded variations

Article History: Received 29 April 2016, Received in revised form 10 July 2016, Accepted 10 August 2016

Digital Object Identifier: https://doi.org/10.21833/ijaas.2016.12.010

Citation:

Rababah A (2016). Convergence of Hermite-Fejér interpolation over roots of third-kind Chebyshev polynomials. International Journal of Advanced and Applied Sciences, 3(12): 69-72

http://www.science-gate.com/IJAAS/V3I12/Aslam.html

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