Abstract
We obtain explicit expansions of the fundamental Hermite interpolation polynomials in terms of Chebyshev polynomials in the case where the nodes considered are either zeros of the (n + 1)th-degree Chebyshev polynomial or extremum points of the nth-degree Chebyshev polynomial.
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Rizk, M.M. Expansions for the Fundamental Hermite Interpolation Polynomials in Terms of Chebyshev Polynomials. Ukrainian Mathematical Journal 53, 155–165 (2001). https://doi.org/10.1023/A:1010457321464
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DOI: https://doi.org/10.1023/A:1010457321464