An extension of a mixed interpolation-regression method using zeros of orthogonal polynomials

DOI10.1016/j.cam.2024.116010MaRDI QIDQ6581969

Francesco Dell'Accio, F. Marcellán, Federico Nudo

Publication date: 1 August 2024

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

zbMATH Keywords

orthogonal polynomialspolynomial approximationequispaced nodesinterpolation-regression operator

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Approximations and expansions (41Axx) Nontrigonometric harmonic analysis (42Cxx)

Cites Work

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• On the constrained mock-Chebyshev least-squares
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• Spectral approximation for elliptic boundary value problems
• Some applications of generalized Jacobi weights
• \(L_m\) extremal polynomials associated with generalized Jacobi weights
• Generalizations of the constrained mock-Chebyshev least squares in two variables: tensor product vs total degree polynomial interpolation
• Constrained mock-Chebyshev least squares quadrature
• Trigonometric orthogonal systems and quadrature formulae
• Product integration rules by the constrained mock-Chebyshev least squares operator
• Orthogonal polynomials
• An adaptive algorithm for determining the optimal degree of regression in constrained mock-Chebyshev least squares quadrature
• Numerical approximation of Fredholm integral equation by the constrained mock-Chebyshev least squares operator

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