Duality in Pade´-type approximation
Journal of Computational and Applied Mathematics
Error estimate in vector Pade´ approximation
Applied Numerical Mathematics
Anti-Gaussian quadrature formulas
Mathematics of Computation
Pade´-type approximants and errors of Padé approximants
Journal of Computational and Applied Mathematics
Error Estimates for the Solution of Linear Systems
SIAM Journal on Scientific Computing
Stopping functionals for Gaussian quadrature formulas
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. V: quadrature and orthogonal polynomials
Quasi-orthogonality with applications to some families of classical orthogonal polynomials
Applied Numerical Mathematics
The kink phenomenon in Fejér and Clenshaw–Curtis quadrature
Numerische Mathematik
Is Gauss Quadrature Better than Clenshaw-Curtis?
SIAM Review
A contribution to quasi-orthogonal polynomials and associated polynomials
Applied Numerical Mathematics
Matrices, Moments and Quadrature with Applications
Matrices, Moments and Quadrature with Applications
An algorithm for computing a Padé approximant with minimal degree denominator
Journal of Computational and Applied Mathematics
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The paper reviews the relation between Pade-type approximants of a power series and interpolatory quadrature formulae with free nodes, and between Pade approximants and Gaussian quadrature methods. Then, it is shown how the Kronrod procedure and the anti-Gaussian quadrature methods could be used for estimating the error in Pade approximation. The @e-algorithm for accelerating the convergence of sequences, and computing recursively Pade approximants is evoked, and its error estimated by the same procedures. Finally, the case of series of functions is considered. Considerations on further research topics end the paper.