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Monotonicity and Inequalities for Ratio of the Generalized Logarithmic Means

Qi, Feng and Chen, Chao-Ping (2003) Monotonicity and Inequalities for Ratio of the Generalized Logarithmic Means. RGMIA research report collection, 6 (2).

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Abstract

Let c > b > a > 0 be real numbers. Then the function f(r) = Lr(a,b)/Lr(a,c) is strictly decreasing on (−∞,∞), where Lr(a, b) denotes the generalized (extended) logarithmic mean of two positive numbers a and b.

Item Type: Article
Uncontrolled Keywords: monotonicity, inequality, ratio, the generalized (extended) logarithmic mean, identric (exponential) mean
Subjects: FOR Classification > 0102 Applied Mathematics
FOR Classification > 0103 Numerical and Computational Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 30 Aug 2012 01:21
Last Modified: 23 May 2013 16:52
URI: http://vuir.vu.edu.au/id/eprint/17830
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