On the dense unbounded divergence of interpolatory product integration on Jacobi nodes

DOI10.1007/s10092-018-0253-8zbMath1387.41016OpenAlexW2792523210MaRDI QIDQ1742980

Alexandru Ioan Mitrea

Publication date: 12 April 2018

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-018-0253-8

zbMATH Keywords

product integrationJacobi nodessuperdense setcondensation of singularities

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Cites Work

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• On the dense divergence of the product quadrature formulas of interpolatory type
• Generalized Gauss-Radau and Gauss-Lobatto formulas with Jacobi weight functions
• Gauss-Tur'an quadratures of Kronrod type for generalized Chebyshev weight functions
• On the convergence of interpolatory product integration rules based on Gauss, Radau and Lobatto points
• The convergence of interpolatory product integration rules
• Mean convergence of Lagrange interpolation. I
• Condensation of singularities and divergence results in approximation theory
• Estimating the error of Gauss-Turán quadrature formulas using their extensions
• Properties of Interpolatory Product Integration Rules
• Optimal Nodes for Interpolatory Product Integration
• On Product Integration with Gauss--Kronrod Nodes

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