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Generalized Tschebyscheff of the second kind and Bernstein polynomials change of bases (1504.01658v3)
Published 7 Apr 2015 in math.CA
Abstract: We construct multiple representations relative to different bases of the generalized Tschebyscheff polynomials of second kind. We build the change-of-basis matrices between the generalized Tschebyscheff of the second kind polynomial basis and Bernstein polynomial basis. Also, we provide an explicit closed from of The generalized Polynomials of degree r less than or equal n in terms of the Bernstein basis of fixed degree n.
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