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Asymptotic Two-Point Approximations by Rational Function

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Abstract

Continuous functions in 0 ≤ s ≤ ∞ with asymptotic power expansions both for t → +0 and t → +∞ are approximated by rational functions, being generalized Padé approximants both for s → +0 and s → +∞. The existence and the uniform convergence of such approximants are proved. As examples, piecewise rational functions, square roots of rational functions, and a modified error function are considered.

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  1. FB Mathematik, Universität Rostock, 18051, Rostock

    Lothar Berg

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  1. Lothar Berg
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Berg, L. Asymptotic Two-Point Approximations by Rational Function. Results. Math. 32, 37–46 (1997). https://doi.org/10.1007/BF03322522

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