Lagrange-Hermite interpolation on the real semiaxis

DOI10.1007/s10092-015-0147-yzbMath1339.41003OpenAlexW1208586652MaRDI QIDQ295369

Incoronata Notarangelo, Pietro Pastore, Giuseppe Mastroianni

Publication date: 13 June 2016

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-015-0147-y

zbMATH Keywords

orthogonal polynomialsapproximation by algebraic polynomialsgeneralized Laguerre weightsHermite-Lagrange interpolationreal semiaxis

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)

Related Items (2)

Averaged cubature schemes on the real positive semiaxis ⋮ Unnamed Item

Uses Software

• OrthogonalPolynomials

Cites Work

• Orthogonal polynomials for exponential weights \(x^{2\rho} e^{-2Q(x)}\) on [0,\(d\))
• Some Fourier-type operators for functions on unbounded intervals
• \(L^p\)-convergence of Lagrange interpolation on the semiaxis
• Lagrange and Hermite interpolation processes on the positive real line
• Christoffel functions, orthogonal polynomials, and Nevai's conjecture for Freud weights
• Weighted Lagrange and Hermite-Fejér interpolation on the real line
• Converse quadrature sum inequalities for Freud weights. II
• Orthonormal polynomials with generalized Freud-type weights.
• Mean convergence of extended Lagrange interpolation with Freud weights
• Orthogonal polynomials for exponential weights \(x^{2\rho} e^{-2Q(x)}\) on \([0,d)\). II.
• On interpolation. III: Interpolatory theory of polynomials
• On an interpolation process of Lagrange-Hermite type
• A Nyström Method for Solving a Boundary Value Problem on [0, ∞)
• Interpolation Processes
• A Lagrange-type projector on the real line
• Some numerical methods for second-kind Fredholm integral equations on the real semiaxis
• Two weight function norm inequalities for the Hardy-Littlewood maximal function and the Hilbert transform
• Orthogonal polynomials for exponential weights
• Lagrange interpolation at Laguerre zeros in some weighted uniform spaces
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