A Power Mean Inequality for the Gamma Function |
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Authors: | Horst Alzer |
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Affiliation: | Universit?t Würzburg, Germany, DE
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Abstract: | A classical inequality for Euler’s gamma function states that for all and with . We prove the following extension of this result. Let be the weighted power mean of of order r. The inequality holds for all and with if and only if (Received 3 April 2000; in revised form 26 June 2000) |
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Keywords: | 2000 Mathematics Subject Classifications: 33B15 26D15 |
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