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  Volume 3, Issue 5, Article 71
A Monotonicity Property of Ratios of Symmetric Homogeneous Means

    Authors: Peter A. Hästö,  
    Keywords: Monotonicity, Strong inequalities, Extended mean values, Gini's mean, Seiffert's mean, Relative metrics.  
    Date Received: 23/02/02  
    Date Accepted: 24/09/02  
    Subject Codes:


    Editors: Feng Qi,  

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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