Convergence rates of Padé and Padé-type approximants

Journal of Approximation Theory

Volumn 86, Issue 3, 1996, Pages 310-319

  Ambroladze, Amiran ^a   Wallin, Hans ^a  

^a UMEÅ UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030242188     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1996.0072     Document Type: Article

References (8)

1. 1. A. Ambroladze, On exceptional sets of asymptotic relations for general orthogonal polynomials, J. Approx. Theory 82 (1995), 257-273.
2. 2. A. Ambroladze and H. Wallin, Approximation by repeated Padé approximants, J. Comp. Applied Math. 62 (1995), 353-358.
3. 3. A. Ambroladze and H. Wallin, Padé type approximants of Markov and meromorphic functions, J. Approx. Theory, to appear.
4. 4. G. A. Baker, Jr., and P. R. Graves-Morris, Padé approximants, I, in "Encyclopedia of Math.," Vol. 13, Addison-Wesley, Reading, MA, 1981.
5. 5. D. Gaier, "Lectures on Complex Approximation," translation of "Vorlesungen über Approximation in Komplexen," Birkhäuser-Verlag, Basel, 1980.
6. 6. H. Stahl, On the divergence of certain Padé approximants and the behaviour of the associated orthogonal polynomials, in "Polynomes Orthogonaux et Applications, Proceedings, Bar-le-Duc, 1984" (C. Brezinsky et al., Eds.), Springer Lecture Notes in Math., Vol. 1171, pp. 321-330, Springer-Verlag, New York/Berlin, 1985.
7. 7. H. Stahl and V. Totik, General orthogonal polynomials, in "Encyclopedia of Math.," Cambridge Univ. Press, Cambridge, 1992.
8. 8. J. L. Walsh, "Interpolation and Approximation by Rational Functions in the Complex Domain," Amer. Math. Soc. Colloq. Publ., 4th ed., Vol. 20, Amer. Math. Soc., Providence, RI, 1965.