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On the continuity properties of the multivariate Padé—Operator T m,n

Polynomial And Rational Approximation

Part of the Lecture Notes in Mathematics book series (LNM,volume 1237)

Keywords

  • Rational Function
  • Continuity Property
  • Homogeneous Form
  • Angular Region
  • Chebyshev Approximation

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References

  1. A. Cuyt: Abstract Padé Approximants for Operators: Theory and Application, Lecture Notes in Mathematics, Springer, Berlin 1984

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  2. A. Cuyt, H. Werner, L. Wuytack: On the Continuity of the Multivariate Padé Operator, J. of Computational and Applied Mathematics 11 (1984), pp. 95–102

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  3. T. Schebiella: Multivariate Padé Approximation, Diplomarbeit, Bonn 1985

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  4. L. Trefethen, M. Gutknecht: On the Convergence and Degeneracy in Rational Padé and Chebyshev Approximation, SIAM J. Math. Analysis 16 (1985), pp. 198–210

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  5. H. Werner: On the rational Tschebyscheff-Operator, Math. Zeitschr., 86 (1964), pp. 317–326

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  6. H. Werner: Multivariate Padé Approximation, Numer. Math., to appear

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  7. H. Werner, L. Wuytack: On the Continuity of the Padé Operator, SIAM J. Num. Analysis 20 (1983), pp. 1273–1280

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© 1987 Springer-Verlag

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Werner, H. (1987). On the continuity properties of the multivariate Padé—Operator T m,n . In: Gilewicz, J., Pindor, M., Siemaszko, W. (eds) Rational Approximation and its Applications in Mathematics and Physics. Lecture Notes in Mathematics, vol 1237. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072459

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  • DOI: https://doi.org/10.1007/BFb0072459

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17212-3

  • Online ISBN: 978-3-540-47412-8

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