Remarks on convergence of Gaussian quadrature for singular integrals

DOI10.1007/BF01953377zbMath0694.41035MaRDI QIDQ909174

Péter Vértesi

Publication date: 1989

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

zbMATH Keywords

Gaussian quadratureChristoffel numbers

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Interpolation in approximation theory (41A05) Approximate quadratures (41A55)

Related Items

Numerical Evaluation of Cauchy Principal Value Integrals with Singular Integrands ⋮ Product integration of singular integrands using Hermite-Fejér interpolation

Cites Work

• On Nevai's bound for orthogonal polynomials associated with exponential weights
• Numerical integration in the presence of an interior singularity
• The method of trigonometric sums in the metric theory of diophantine approximations of dependent quantities
• Rates of Convergence of Gaussian Quadrature for Singular Integrands
• Rates of Convergence of Gauss, Lobatto, and Radau Integration Rules for Singular Integrands