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Mathematics 2019, 7(2), 120; https://doi.org/10.3390/math7020120

Change of Basis Transformation from the Bernstein Polynomials to the Chebyshev Polynomials of the Fourth Kind

1,2,*,†
and
2,†
1
Department of Mathematical Sciences, United Arab Emirates University, 15551 Al Ain, UAE
2
Department of Mathematics, Jordan University of Science and Technology, 22110 Irbid, Jordan
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Received: 6 December 2018 / Revised: 17 January 2019 / Accepted: 18 January 2019 / Published: 23 January 2019
(This article belongs to the Special Issue Special Polynomials)
Full-Text   |   PDF [220 KB, uploaded 3 February 2019]

Abstract

In this paper, the change of bases transformations between the Bernstein polynomial basis and the Chebyshev polynomial basis of the fourth kind are studied and the matrices of transformation among these bases are constructed. Some examples are given. View Full-Text
Keywords: Bernstein polynomials; Chebyshev polynomials of fourth kind; computer aided design; basis transformation Bernstein polynomials; Chebyshev polynomials of fourth kind; computer aided design; basis transformation
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Rababah, A.; Hijazi, E. Change of Basis Transformation from the Bernstein Polynomials to the Chebyshev Polynomials of the Fourth Kind. Mathematics 2019, 7, 120.

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