Abstract
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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References
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).
GILEWICZ, J., “Approximants de Padé”, L.N.M. 667, Springer-Verlag (1978).
GILEWICZ, J., MAGNUS, A., “Valleys in c-Table”, in “Padé Approximation and its Applications”, L.N.M. 765, L. Wuytack Ed., Springer-Verlag (1979).
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© 1981 Srpinger-Verlag
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Gilewicz, J., Leopold, E. (1981). Pade approximant inequalities for the functions of the class S. In: de Bruin, M.G., van Rossum, H. (eds) Padé Approximation and its Applications Amsterdam 1980. Lecture Notes in Mathematics, vol 888. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0095587
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DOI: https://doi.org/10.1007/BFb0095587
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