2017
Том 69
№ 9

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Expansions for the Fundamental Hermite Interpolation Polynomials in Terms of Chebyshev Polynomials

Rizk M. M.

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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.

English version (Springer): Ukrainian Mathematical Journal 53 (2001), no. 1, pp 155-165.

Citation Example: Rizk M. M. Expansions for the Fundamental Hermite Interpolation Polynomials in Terms of Chebyshev Polynomials // Ukr. Mat. Zh. - 2001. - 53, № 1. - pp. 135-143.

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