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Volume 9, Issue 4, Article 97 |
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Inequalities for 3-log-convex Functions
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Authors: |
Donghui Chen, Kenneth S. Berenhaut, |
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Keywords:
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Inequalities, Logarithmic derivative, Convexity, Gamma function, Digamma function, Extended means. |
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Date Received:
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07/12/07 |
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Date Accepted:
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13/08/08 |
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Subject Codes: |
33B15, 26A51, 26A48, 26D20.
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Editors: |
Sever S. Dragomir, |
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Abstract: |
This note gives a simple method for obtaining inequalities for ratios involving 3-log-convex functions. As an example, an inequality for Wallis's ratio of Gautchi-Kershaw type is obtained. Inequalities for generalized means are also considered.
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