Generalized Chebyshev polynomials of third kind
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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 de nite integrals of the generalized third-kind Chebyshev polynomials multiplied with the Bernstein polynomials are found.
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 de nite integrals of the generalized third-kind Chebyshev polynomials multiplied with the Bernstein polynomials are found.
참고문헌 (17)
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