Interlacing properties of the zeros of the orthogonal polynomials and approximation of the Hilbert transform

DOI10.1016/0898-1221(95)00093-3zbMath0837.41002OpenAlexW2032828740MaRDI QIDQ1904167

Giuseppe Mastroianni, Donatella Occorsio

Publication date: 18 December 1995

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00093-3

zbMATH Keywords

Hilbert transformLagrange interpolation

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Interpolation in approximation theory (41A05)

Related Items (9)

Some numerical algorithms to evaluate Hadamard finite-part integrals ⋮ Compact numerical quadrature formulas for hypersingular integrals and integral equations ⋮ A method to evaluate the Hilbert transform on (\(0, +\infty \)) ⋮ A method for the practical evaluation of the Hilbert transform on the real line ⋮ Interlacing of zeros of shifted sequences of one-parameter orthogonal polynomials ⋮ Mixed recurrence relations and interlacing of the zeros of some \(q\)-orthogonal polynomials from different sequences ⋮ Interlacing of zeros of linear combinations of classical orthogonal polynomials from different sequences ⋮ Interlacing of the zeros of Jacobi polynomials with different parameters ⋮ Interlacing Property of Zeros of Shifted Jacobi Polynomials

Cites Work

• Computing the Hilbert transform of a Jacobi weight function
• On the uniform convergence of Gaussian quadrature rules for Cauchy principal value integrals
• The numerical evaluation of one-dimensional Cauchy principal value integrals
• Convergence of product formulas for the numerical evaluation of certain two-dimensional Cauchy principal value integrals
• An algorithm for the numerical evaluation of certain Cauchy principal value integrals
• Convergence of Extended Lagrange Interpolation
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