Generalized chebyshev polynomials of third kind

Abedallah Rababah; Esraa Hijazi

doi:10.17777/pjms2018.21.3.515

Generalized chebyshev polynomials of third kind

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

Abstract

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.

Original language	English
Pages (from-to)	515-523
Number of pages	9
Journal	Proceedings of the Jangjeon Mathematical Society
Volume	21
Issue number	3
DOIs	https://doi.org/10.17777/pjms2018.21.3.515
Publication status	Published - 2018
Externally published	Yes

Keywords

Basis Transformation
Bernstein Polynomials
Computer Aided Design
Third-Kind Generalized Chebyshev Polynomials

ASJC Scopus subject areas

Mathematics(all)

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10.17777/pjms2018.21.3.515

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author = "Abedallah Rababah and Esraa Hijazi",

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AU - Hijazi, Esraa

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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

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Generalized chebyshev polynomials of third kind

Abstract

Keywords

ASJC Scopus subject areas

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