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Volume 3, Issue 5, Article 71 |
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A Monotonicity Property of Ratios of Symmetric Homogeneous Means
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Authors: |
Peter A. Hästö, |
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Keywords:
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Monotonicity, Strong inequalities, Extended mean values, Gini's mean, Seiffert's mean, Relative metrics. |
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Date Received:
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23/02/02 |
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Date Accepted:
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24/09/02 |
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Subject Codes: |
26E60,26D15,26D05.
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Editors: |
Feng Qi, |
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Abstract: |
We study a certain monotonicity property of ratios of means, which we call a strong inequality. These strong inequalities were recently shown to be related to the so-called relative metric. We also use the strong inequalities to derive new ordinary inequalities. The means studied are the extended mean value of Stolarsky, Gini's mean and Seiffert's mean.
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