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

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

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.

Bibliographic Details
Main Authors: Abedallah Rababah, Esraa Hijazi
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Mathematics
Subjects:
Bernstein polynomials
Chebyshev polynomials of fourth kind
computer aided design
basis transformation
Online Access:https://www.mdpi.com/2227-7390/7/2/120
Description
Summary: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.
ISSN:2227-7390

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