Pade approximant inequalities for the functions of the class S

  • J. Gilewicz
  • E. Leopold
Part II: Short Communications
Part of the Lecture Notes in Mathematics book series (LNM, volume 888)


We prove the inequalities allowing to determine the best Padé approximant in the finite rectangular set of approximants in the Padé table.


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  1. [1]
    ARMS, R.J., EDREI, A., “The Padé Tables and Continued Fractions Generated by Totally Positive Sequences”, in “Math. Essays dedicated to A.J. Macintyre”, Ohio University Press (1970).Google Scholar
  2. [2]
    GILEWICZ, J., “Approximants de Padé”, L.N.M. 667, Springer-Verlag (1978).Google Scholar
  3. [3]
    GILEWICZ, J., MAGNUS, A., “Valleys in c-Table”, in “Padé Approximation and its Applications”, L.N.M. 765, L. Wuytack Ed., Springer-Verlag (1979).Google Scholar

Copyright information

© Srpinger-Verlag 1981

Authors and Affiliations

  • J. Gilewicz
    • 1
  • E. Leopold
    • 2
  1. 1.Centre de Physique Théorique, CNRSMarseille and Université de ToulonToulonFrance
  2. 2.Centre de Physique Théorique, CNRSMarseille

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