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On the convergence of two-point partial Padé approximants for meromorphic functions of Stieltjes type
On the convergence of certain Gauss-type quadrature formulas for unbounded intervals
- A. Bultheel, C. Díaz-Mendoza, P. González-Vera, Ramón A. Orive Rodríguez
- MathematicsMath. Comput.
- 1 April 2000
It is proved that under certain Carleman-type conditions for the weight and when p( n) or q(n) goes to oo, then convergence holds for all functions f for which fw is integrable on [0, ∞).
Orthogonal Laurent polynomials and two-point Padé approximants associated with Dawson's integral
Strong Stieltjes distributions and orthogonal Laurent polynomials with applications to quadratures and Padé approximation
Starting from a strong Stieltjes distribution Φ, general sequences of orthogonal Laurent polynomials are introduced and sonic of their most relevant algebraic properties are studied. From this…
Quadrature on the half-line and two-point Pade´ approximants to Stieltjes functions—II: convergence
Quadrature on the half line and two-point Pade´ approximants to Stieltjes functions: subtitle: Part III. The unbounded case
A connection between Szegő-Lobatto and quasi Gauss-type quadrature formulas
Orthogonality and recurrence for ordered Laurent polynomial sequences
Orthogonal Laurent polynomials and quadrature formulas for unbounded intervals: I. Gauss-type formulas
We study the convergence of quadrature formulas for integrals over the positive real line with an arbitrary distribution function. The nodes of the quadrature formulas are the zeros of orthogonal…