On the convergence of two-point Padé-type approximants

Numerische Mathematik

Volumn 72, Issue 3, 1996, Pages 295-312

  Díaz Mendoza, Carlos ^a   González Vera, Pablo ^a   Orive, Ramón ^a  

^a UNIVERSIDAD DE LA LAGUNA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040361023     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002110050171     Document Type: Article

References (16)

1. González-Vera, P., Orive, R. (1994): Optimization of Two-point Padé Approximants. J. Comp. Appl. Math. 50, 325-337
2. González-Vera, P., López-Lagomasino, G., Orive, R., Santos, J.C. (1995): On the convergence of quadrature formulas for complex weight functions. J. Math. Annal Appl. 189, 514-532
3. Baker, G.A. (1964): High-temperature series expansion for the spin -1/2 Heisenberg model by the method of irreductible representation of the symmetric group, Phys. Rev. 135, 1272-1277
4. Draux, A. (1983): Polynomes orthogonaux formels. Applications, Lecture Notes in Math. 974
5. Brezinski, C. (1980): Padé-type Approximation and General Orthogonal Polynomials, ISNM vol. 50, Birkhauser-Verlag
6. Magnus, A. (1983): On the structure of the Two-point Padé Table, Lecture Notes in Math. 932, 362-372
7. Walsh, J. (1969): Interpolation and Approximation by Rational functions in the Complex Domain, Amer. Math. Soc., Colloq. Public., Providence, R.I.
8. Stahl, H., Totik, V. (1992): General Orthogonal Polynomials, Encyclopedia of Mathematics and its Applications 42, Cambridge University Press
9. Hille, E. (1969): Analytic Function Theory, vol. 2, Ginn & Co.
10. Landkof, N.S. (1972): Foundations of Modern Potential Theory, Grundlehren der Mathematischen Wissenschaften 190, Springer-Verlag, New York
11. Markov, A.A. (1895): Deux démonstrations de la convergence de certaines fractions continues. Acta Math. 19, 93-104
12. González-Vera, P., Njastad, O. (1990): Convergence of Two-point Padé Approximants to Series of Stieltjes, J. Comp. Appl. Math. 32, 97-105
13. López-Lagomasino, G., Martínez-Finkelshtein, A. (1994) Rate of convergence of Two-point Padé Approximants and Logarithmic Asymptotics of Laurent-type Orthogonal Polynomials, Constr. Approx., in press
14. Jones, W.B., Njastad, O., Thron, W.J. (1983): Two-point expansions for a family of analytic functions, J. Comp. Appl. Math. 9, 105-123
15. Abramowitz, M., Stegun, I.A. (1972): Handbook of Mathematical Functions, Dover Publications, Inc., New York
16. Casasús, L., González-Vera, P. (1985): Two-point Padé-type Approximants for Stieltjes functions, Lecture Notes in Math. 1071, 408-418