\(L^p\)-convergence of Lagrange interpolation on the semiaxis

DOI10.1007/s10474-008-7119-5zbMath1164.65007OpenAlexW1977511040MaRDI QIDQ949882

C. Laurita, Giuseppe Mastroianni

Publication date: 21 October 2008

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-008-7119-5

zbMATH Keywords

convergenceLagrange interpolationfunctional equationsprojection methodsweighted approximationunbounded interval

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items (17)

Lagrange-Hermite interpolation on the real semiaxis ⋮ Approximation of Hilbert and Hadamard transforms on \((0,+\infty)\) ⋮ Projection methods for Fredholm integral equations on the real semiaxis ⋮ A new quadrature scheme based on an extended Lagrange interpolation process ⋮ Lagrange interpolation polynomials for Laguerre-type weights ⋮ Nyström methods for bivariate Fredholm integral equations on unbounded domains ⋮ Some Fourier-type operators for functions on unbounded intervals ⋮ On Nyström and Product Integration Methods for Fredholm Integral Equations ⋮ A product integration rule for hypersingular integrals on \((0,+\infty)\) ⋮ Mean convergence of an extended Lagrange interpolation process on \([0,+\infty)\) ⋮ Numerical computation of hypersingular integrals on the real semiaxis ⋮ On the simultaneous approximation of a Hilbert transform and its derivatives on the real semiaxis ⋮ A Lagrange-type projector on the real line ⋮ Some quadrature formulae with nonstandard weights ⋮ A numerical method for linear Volterra integral equations on infinite intervals and its application to the resolution of metastatic tumor growth models ⋮ Extended Lagrange interpolation in weighted uniform norm ⋮ Modeling metastatic tumor evolution, numerical resolution and growth prediction

Cites Work

• Orthogonal polynomials for exponential weights \(x^{2\rho} e^{-2Q(x)}\) on [0,\(d\))
• Christoffel functions, orthogonal polynomials, and Nevai's conjecture for Freud weights
• Polynomial approximation on infinite intervals with weights having inner zeros
• Orthonormal polynomials with generalized Freud-type weights.
• Interpolation Processes
• Some numerical methods for second-kind Fredholm integral equations on the real semiaxis
• Mean Convergence of Expansions in Laguerre and Hermite Series
• Mean Convergence of Hermite and Laguerre Series. I
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