Positive interpolatory quadrature rules generated by some biorthogonal polynomials

DOI10.1090/S0025-5718-09-02299-6zbMath1202.41029OpenAlexW2057857418MaRDI QIDQ3584806

Avram Sidi, Doron S. Lubinsky

Publication date: 30 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-09-02299-6

zbMATH Keywords

biorthogonal polynomialspositive weightsinterpolatory quadrature rules

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical integration (65D30) Nontrigonometric harmonic analysis (42C99) Acceleration of convergence in numerical analysis (65B99)

Related Items (2)

Some biorthogonal polynomials arising in numerical analysis and approximation theory ⋮ Biorthogonal polynomials and numerical quadrature formulas for some finite-range integrals with symmetric weight functions

Cites Work

• A note on positive quadrature rules
• Weights whose biorthogonal polynomials admit a Rodrigues formula
• Zero distribution of composite polynomials and polynomials biorthogonal to exponentials
• What distributions of points are possible for convergent sequences of interpolatory integration rules!
• A class of orthogonal polynomials
• Positive quadrature formulas III: asymptotics of weights
• On the Zeros of Some Polynomials that Arise in Numerical Quadrature and Convergence Acceleration
• Characterization of Quadrature Formula II
• Numerical Quadrature and Nonlinear Sequence Transformations; Unified Rules for Efficient Computation of Integrals with Algebraic and Logarithmic Endpoint Singularities
• Characterization of Positive Quadrature Formulas
• STRONG ASYMPTOTICS FOR POLYNOMIALS BIORTHOGONAL TO POWERS OF LOG X
• Practical Extrapolation Methods
• Numerical Quadrature Rules for Some Infinite Range Integrals
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