Volume 3,
Issue 2, 2002
Article
20
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MONOTONICITY PROPERTIES OF THE RELATIVE ERROR OF A
PADÉ APPROXIMATION FOR MILLS' RATIO
IOSIF
PINELIS
DEPARTMENT OF MATHEMATICAL SCIENCES,
MICHIGAN TECHNOLOGICAL
UNIVERSITY, HOUGHTON, MI 49931, USA
E-Mail: ipinelis@mtu.edu
Received 29 January, 2001; accepted 16 November, 2001.
Communicated by: T.
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.
Key words:
Mills' ratio, Complementary error
function, Failure
rate,
Padé approximation, Continuous
fractions, Relative
error, L'Hospital's
Rule, Monotonicity
2000 Mathematics Subject
Classification:
Primary: 26A48, 26D10,
26D15, 33B20,
40A15, 41A17,
41A21, 62E17;
Secondary: 11Y65, 60E05,
60E15, 62E20,
62F03, 62G10.
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Other issues
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Volume 1, Issue 1, 2000
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Volume 1, Issue
2, 2000
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Volume 2, Issue
1, 2001
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Volume 2, Issue
2, 2001
-
Volume 2, Issue
3, 2001
-
Volume 3, Issue
1, 2002
-
Volume 3, Issue
2, 2002
-
Volume 3, Issue
3, 2002
-
Volume 3, Issue
4, 2002
-
Volume 3, Issue
5, 2002
-
Volume 4, Issue
1, 2003
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Volume 4, Issue
2, 2003
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Volume 4, Issue
3, 2003
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Volume 4, Issue
4, 2003
-
Volume 4, Issue
5, 2003
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