A survey on third and fourth kind of Chebyshev polynomials and their applications

DOI10.1016/j.amc.2007.09.018zbMath1134.33300OpenAlexW2052064203MaRDI QIDQ924376

Mehdi Dehghan, Kamal Aghigh, Mohammad Masjed-Jamei

Publication date: 16 May 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.09.018

zbMATH Keywords

weight functionhypergeometric functionsJacobi orthogonal polynomialsconstant weighting factorthird and fourth kind of Chebyshev polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical methods for integral transforms (65R10) Approximation by polynomials (41A10) Research exposition (monographs, survey articles) pertaining to special functions (33-02)

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Cites Work

• Some new characterizations of the Chebyshev polynomials
• Near-minimax complex approximation by four kinds of Chebyshev polynomial expansion
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