Quasi-orthogonal polynomials, quadrature, and interpolation

DOI10.1006/jmaa.1994.1121zbMath0802.42020OpenAlexW2032474546MaRDI QIDQ1323920

Yuan Xu

Publication date: 11 December 1994

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1994.1121

zbMATH Keywords

quadrature formulaquasi-orthogonal polynomialsCoates-numbersLagrange interpolation building blocks

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Interpolation in approximation theory (41A05)

Related Items

Gauss-Lobatto-Legendre-Birkhoff pseudospectral scheme for the time fractional reaction–diffusion equation with Neumann boundary conditions, On quasi-orthogonal polynomials: their differential equations, discriminants and electrostatics, On some cubature formulas on the sphere, Quadrature formulae and polynomial inequalities, Extended Lagrange interpolation and nonclassical Gauss quadrature formulae, Orthogonality of quasi-orthogonal polynomials, Quasi-orthogonality and zeros of some \({}_2 \phi_2\) and \({}_3 \phi_2\) polynomials, A collocation method with exact imposition of mixed boundary conditions, Algebraic and spectral properties of some quasiorthogonal polynomials encountered in quantum radiation, A Characterization of Positive Quadrature Formulae, Orthogonal polynomials associated with an inverse quadratic spectral transform, A new family of extended Gauss quadratures with an interior interval constraint, Positive quadrature formulas III: asymptotics of weights, Minimal cubature rules and polynomial interpolation in two variables. II., Interpolation approximations based on Gauss-Lobatto-Legendre-Birkhoff quadrature, A fast algorithm for Gaussian type quadrature formulae with mixed boundary conditions and some lumped mass spectral approximations, Lagrange polynomials, reproducing kernels and cubature in two dimensions