Turkish Journal of Mathematics
DOI
10.3906/mat-1501-44
Abstract
We characterize the generalized Chebyshev polynomials of the second kind (Chebyshev-II), and then we provide a closed form of the generalized Chebyshev-II polynomials using the Bernstein basis. These polynomials can be used to describe the approximation of continuous functions by Chebyshev interpolation and Chebyshev series and how to efficiently compute such approximations. We conclude the paper with some results concerning integrals of the generalized Chebyshev-II and Bernstein polynomials.
Keywords
Generalized Chebyshev polynomials, Bernstein basis, Eulerian integral
First Page
842
Last Page
850
Recommended Citation
ALQUDAH, MOHAMMAD A.
(2015)
"Generalized Chebyshev polynomials of the second kind,"
Turkish Journal of Mathematics: Vol. 39:
No.
6, Article 5.
https://doi.org/10.3906/mat-1501-44
Available at:
https://journals.tubitak.gov.tr/math/vol39/iss6/5
