On polynomials orthogonal with respect to particular variable-signed weight functions

DOI10.1007/BF01596155zbMath0446.33013MaRDI QIDQ1145803

Giovanni Monegato

Publication date: 1980

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsindefinite inner productRadau and Lobatto quadrature

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical quadrature and cubature formulas (65D32)

Related Items

On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line ⋮ A Gauss quadrature formula for Cauchy type integrals ⋮ Nested quadrature rules for Cauchy principal value integrals ⋮ Gauss-type quadrature rules for variable-sign weight functions ⋮ Suboptimal Kronrod extension formulae for numerical quadrature ⋮ A modified Gauss quadrature formula with special integration points for evaluation of quasi-singular integrals ⋮ Stopping functionals for Gaussian quadrature formulas ⋮ On quasi-orthogonal polynomials of orderr ⋮ Zeros of quasi-paraorthogonal polynomials and positive quadrature

Cites Work

• Unnamed Item
• Orthogonal polynomials: Variable-signed weight functions
• Nonexistence of extended Gauss-Laguerre and Gauss-Hermite quadrature rules with positive weights
• A Note on Extended Gaussian Quadrature Rule