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Volume 3, Issue 2, Article 20 |
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Monotonicity Properties of the Relative Error of a Padé Approximation for Mills' Ratio
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Authors: |
Iosif Pinelis, |
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Keywords:
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Mills' ratio, Complementary error function, Failure rate, Padé approximation, Continuous fractions, Relative error, L'Hospital's Rule, Monotonicity |
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Date Received:
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29/01/01 |
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Date Accepted:
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16/11/01 |
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Subject Codes: |
26A48,26D10,26D15,33B20,40A15,41A17,41A2
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Editors: |
Terry M. Mills, |
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Abstract: |
Based on a ``monotonicity'' analogue of the l'Hospital Rule, monotonicity properties of the relative error are established for a Padé approximation of Mills' ratio.
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