Monotonicity and Inequalities for Ratio of the Generalized Logarithmic Means
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DownloadQi, Feng and Chen, Chao-Ping (2003) Monotonicity and Inequalities for Ratio of the Generalized Logarithmic Means. RGMIA research report collection, 6 (2).
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 |
| URI | https://vuir.vu.edu.au/id/eprint/17830 |
| Subjects | Historical > FOR Classification > 0102 Applied Mathematics Historical > FOR Classification > 0103 Numerical and Computational Mathematics Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA) |
| Keywords | monotonicity, inequality, ratio, the generalized (extended) logarithmic mean, identric (exponential) mean |
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