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

• Date: 2001
• Main Authors: Rizk, M. M., Різк, М. М.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4230
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.