Polynomial Approximations of Functions with Endpoint Singularities and Product Integration Formulas

DOI10.2307/2153533zbMath0803.65020OpenAlexW2006183925MaRDI QIDQ4292059

Giuseppe Mastroianni, Giovanni Monegato

Publication date: 4 July 1994

Full work available at URL: https://doi.org/10.2307/2153533

zbMATH Keywords

convergenceerror estimatesFredholm integral equationsquadrature formulasdegree of approximationJacobi orthogonal polynomialsinterpolatory product integration rules

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Rate of convergence, degree of approximation (41A25) Numerical quadrature and cubature formulas (65D32)

Related Items (3)

Rational approximation in uniform and weighted \(L^ 1\) norm ⋮ Numerical calculation of integrals involving oscillatory and singular kernels and some applications of quadratures ⋮ Numerical integration of functions with boundary singularities

Cites Work

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• Product integration for the linear transport equation in slab geometry
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• Product Integration-Collocation Methods for Noncompact Integral Operator Equations
• On spline approximation for a class of integral equations. I: Galerkin and collocation methods with piecewise polynomials
• On the Differential Properties of Solutions to Fredholm Equations with Weakly Singular Kernels
• The properties of solutions of weakly singular integral equations
• Pointwise Simultaneous Convergence of Extended Lagrange Interpolation with Additional Knots
• Orthogonal polynomials
• Nyström interpolants based on the zeros of Legendre polynomials for a non-compact integral operator equation

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