Discrete orthogonal polynomials on Gauss-Lobatto Chebyshev nodes

DOI10.1016/j.jat.2006.06.003zbMath1117.65040OpenAlexW2162140727MaRDI QIDQ868829

Giuseppe Fedele, Alfredo Eisinberg

Publication date: 26 February 2007

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2006.06.003

zbMATH Keywords

orthogonal polynomialsnumerical exampleshypergeometric functionsleast-squaresleast-squares problems3-term recurrence relation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Computation of special functions and constants, construction of tables (65D20) Numerical approximation and evaluation of special functions (33F05)

Related Items

Gauss-Lobatto to Bernstein polynomials transformation ⋮ Investigation of critical delamination characteristics in composite plates combining cubic spline piezo-layerwise mechanics and time domain spectral finite elements

Uses Software

• Mathematica
• OPQ

Cites Work

• The special functions and their approximations. Vol. I, II
• Vandermonde systems on Gauss-Lobatto Chebyshev nodes
• Generation and Use of Orthogonal Polynomials for Data-Fitting with a Digital Computer
• Orthogonal Polynomials With Weight Function (1 - x)^α( l + x)^β + Mδ(x + 1) + Nδ(x - 1)
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