Change of basis transformation from the Bernstein polynomials to the Chebyshev polynomials of the fourth kind

Abedallah Rababah; Esraa Hijazi

doi:10.3390/MATH7020120

Change of basis transformation from the Bernstein polynomials to the Chebyshev polynomials of the fourth kind

Abedallah Rababah, Esraa Hijazi

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Article number	120
Journal	Mathematics
Volume	7
Issue number	2
DOIs	https://doi.org/10.3390/MATH7020120
Publication status	Published - 2019

Keywords

Basis transformation
Bernstein polynomials
Chebyshev polynomials of fourth kind
Computer aided design

ASJC Scopus subject areas

Computer Science (miscellaneous)
General Mathematics
Engineering (miscellaneous)

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10.3390/MATH7020120

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title = "Change of basis transformation from the Bernstein polynomials to the Chebyshev polynomials of the fourth kind",

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.",

keywords = "Basis transformation, Bernstein polynomials, Chebyshev polynomials of fourth kind, Computer aided design",

author = "Abedallah Rababah and Esraa Hijazi",

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language = "English",

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KW - Chebyshev polynomials of fourth kind

KW - Computer aided design

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Change of basis transformation from the Bernstein polynomials to the Chebyshev polynomials of the fourth kind

Abstract

Keywords

ASJC Scopus subject areas

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