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Product integration of singular integrands using Hermite-Fejér interpolation

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Publication:810790
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DOI10.1007/BF01931291zbMath0734.41030OpenAlexW2038204286MaRDI QIDQ810790

Philip Rabinowitz

Publication date: 1991

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01931291


zbMATH Keywords

Jacobi polynomialsHermite-Fejér polynomials


Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical integration (65D30)




Cites Work

  • Unnamed Item
  • Remarks on convergence of Gaussian quadrature for singular integrals
  • Mean convergence of Hermite-Fejér interpolation
  • Numerical integration in the presence of an interior singularity
  • Interpolatory product integration in the presence of singularities: \(L_ 2\) theory
  • Product integration based on Hermite-Fejér interpolation
  • A product quadrature algorithm by Hermite interpolation
  • Product Integration in the Presence of a Singularity
  • Convergence of Product Integration Rules for Functions With Interior and Endpoint Singularities Over Bounded and Unbounded Intervals
  • Gaussian Integration in the Presence of a Singularity


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