Extended Lagrange interpolation in weighted uniform norm
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Publication:1021481
DOI10.1016/j.amc.2009.01.023zbMath1173.41302OpenAlexW2060202007MaRDI QIDQ1021481
Publication date: 8 June 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2009.01.023
Related Items (11)
A mixed collocation scheme for solving second kind Fredholm integral equations in \([-1,1\)] ⋮ A generalization of divided differences and applications ⋮ Approximation of Hilbert and Hadamard transforms on \((0,+\infty)\) ⋮ A new quadrature scheme based on an extended Lagrange interpolation process ⋮ A method to evaluate the Hilbert transform on (\(0, +\infty \)) ⋮ A product integration rule for hypersingular integrals on \((0,+\infty)\) ⋮ Mean convergence of an extended Lagrange interpolation process on \([0,+\infty)\) ⋮ A unified representation for some interpolation formulas ⋮ On the simultaneous approximation of a Hilbert transform and its derivatives on the real semiaxis ⋮ Extended Lagrange interpolation on the real line ⋮ A mixed scheme of product integration rules in \((-1,1)\)
Uses Software
Cites Work
- Some quadrature formulae with nonstandard weights
- The \(L^p\)-weighted Lagrange interpolation on Markov-Sonin zeros
- \(L^p\)-convergence of Lagrange interpolation on the semiaxis
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- A good interpolation matrix
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- Orthogonal polynomials for exponential weights \(x^{2\rho} e^{-2Q(x)}\) on \([0,d)\). II.
- Interlacing of zeros of shifted sequences of one-parameter orthogonal polynomials
- Convergence of Extended Lagrange Interpolation
- Pointwise Simultaneous Convergence of Extended Lagrange Interpolation with Additional Knots
- Mean Convergence of Derivatives of Extended Lagrange Interpolation with Additional Nodes
- Half-Range Generalized Hermite Polynomials and the Related Gaussian Quadratures
- Truncated Quadrature Rules Over $(0,\infty)$ and Nyström-Type Methods
- Stieltjes polynomials and Lagrange interpolation
- Lagrange interpolation at Laguerre zeros in some weighted uniform spaces
- An Erdős-type convergence process in weighted interpolation. I. Freud-type weights
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