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Volume 8, Issue 3, Article 65 |
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On Inequalities for Hypergeometric Analogues of the Arithmetic-Geometric Mean
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Authors: |
Roger W. Barnard, Kendall C. Richards, |
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Keywords:
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Arithmetic-geometric mean, Hypergeometric function, Power mean. |
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Date Received:
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21/04/07 |
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Date Accepted:
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08/09/07 |
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Subject Codes: |
26D15, 26E60, 33C05.
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Editors: |
Anthony Sofo, |
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Abstract: |
In this note, we present sharp inequalities relating hypergeometric analogues of the arithmetic-geometric mean discussed in [5] and the power mean. The main result generalizes the corresponding sharp inequality for the arithmetic-geometric mean established in [10].
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