Weighted Lagrange interpolation with preassigned nodes on the real line

DOI10.1016/J.MATCOM.2013.12.004OpenAlexW2056817144MaRDI QIDQ1994877

Maria Rosaria Capobianco, Giuliana Criscuolo

Publication date: 18 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2013.12.004

zbMATH Keywords

interpolationHilbert transformLebesgue constantsFreud weights

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25)

Cites Work

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• A new algorithm for Cauchy principal value and Hadamard finite-part integrals
• Convergence and stability of a new quadrature rule for evaluating Hilbert transform
• Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials)
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• Christoffel functions, orthogonal polynomials, and Nevai's conjecture for Freud weights
• On the Lebesgue function of weighted Lagrange interpolation. I: Freud-type weights
• The weighted \(L_ p\)-norms of orthonormal polynomials for Freud weights
• Lagrange interpolation with constraints
• Weighted Lagrange and Hermite-Fejér interpolation on the real line
• Which weights on \(\mathbb R\) admit Jackson theorems?
• Jackson and Bernstein theorems for the weight \(\exp(-|x|)\) on \(\mathbb R\)
• BOUNDEDNESS AND UNIFORM NUMERICAL APPROXIMATION OF THE WEIGHTED HILBERT TRANSFORM ON THE REAL LINE
• A stable and convergent algorithm to evaluate Hilbert transform
• Approximation of the weighted Hilbert transform on the real line by an interpolatory process

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