Abstract
In this paper, two necessary and sufficient conditions, and a sufficient condition of A(α)-acceptability for (n, m) rationa approximation to function exp(z) are given, where a ∈ (0, x/2). A necesary and sufficient condition of A-acceptability for (n, m) rational approximation to exp(z) of order p is obtained, where n≤m≤p.
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Fengjian, Y., Xinming, C. A(α)-Acceptability of Rational Approximations to Function exp(z). Analysis in Theory and Applications 17, 54–59 (2001). https://doi.org/10.1023/A:1015598111682
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DOI: https://doi.org/10.1023/A:1015598111682