TY - JOUR
T1 - Generalized chebyshev polynomials of third kind
AU - Rababah, Abedallah
AU - Hijazi, Esraa
N1 - Publisher Copyright:
© 2018 Jangjeon Research Institute for Mathematical Sciences and Physics. All rights reserved.
PY - 2018
Y1 - 2018
N2 - In this paper, the generalized third-kind Chebyshev polynomials are considered. Motivated by the fact that the Bernstein polynomial basis is numerically stable, the generalized Chebyshev polynomials of third kind are characterized by writing them in terms of the Bernstein basis. This representation is given in explicit form. Moreover, the weighted definite integrals of the generalized third-kind Chebyshev polynomials multiplied with the Bernstein polynomials are found.
AB - In this paper, the generalized third-kind Chebyshev polynomials are considered. Motivated by the fact that the Bernstein polynomial basis is numerically stable, the generalized Chebyshev polynomials of third kind are characterized by writing them in terms of the Bernstein basis. This representation is given in explicit form. Moreover, the weighted definite integrals of the generalized third-kind Chebyshev polynomials multiplied with the Bernstein polynomials are found.
KW - Basis Transformation
KW - Bernstein Polynomials
KW - Computer Aided Design
KW - Third-Kind Generalized Chebyshev Polynomials
UR - http://www.scopus.com/inward/record.url?scp=85075131909&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85075131909&partnerID=8YFLogxK
U2 - 10.17777/pjms2018.21.3.515
DO - 10.17777/pjms2018.21.3.515
M3 - Article
AN - SCOPUS:85075131909
SN - 1598-7264
VL - 21
SP - 515
EP - 523
JO - Proceedings of the Jangjeon Mathematical Society
JF - Proceedings of the Jangjeon Mathematical Society
IS - 3
ER -