Gaussian quadrature rules with exponential weights on \((-1,1)\)

DOI10.1007/s00211-011-0417-9zbMath1244.65238OpenAlexW1992955659MaRDI QIDQ664535

Incoronata Notarangelo, Giuseppe Mastroianni, Maria Carmela De Bonis

Publication date: 2 March 2012

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-011-0417-9

zbMATH Keywords

convergenceFredholm integral equationLagrange interpolationNyström methodGaussian quadrature rulesPollaczek-type polynomials

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Fredholm integral equations (45B05)

Related Items (6)

Construction of Gaussian quadrature formulas for even weight functions ⋮ Numerical integration of functions with a very small significant support ⋮ Polynomial approximation with Pollaczeck-Laguerre weights on the real semiaxis. A survey ⋮ Nyström methods for approximating the solutions of an integral equation arising from a problem in mathematical biology ⋮ On the Hermite-Fejér interpolation based at the zeros of generalized Freud polynomials ⋮ Polynomial approximation with Pollaczek-type weights. A survey

Uses Software

• OrthogonalPolynomials

Cites Work

• Lagrange interpolation in weighted Besov spaces
• Gaussian rules on unbounded intervals
• Polynomial inequalities and embedding theorems with exponential weights on \((-1, 1)\)
• On interpolation. I. Quadrature- and mean-convergence in the Lagrange- interpolation
• Interpolation Processes
• A Lagrange-type projector on the real line
• Christoffel functions and orthogonal polynomials for exponential weights on [-1,1]
• The Numerical Solution of Integral Equations of the Second Kind
• Truncated Quadrature Rules Over $(0,\infty)$ and Nyström-Type Methods
• Orthogonal polynomials for exponential weights
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