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Some Monotonicity Results for the Ratio of Two-Parameter Symmetric Homogeneous Functions

Zhen-Hang Yang

International Journal of Mathematics and Mathematical Sciences, 2009, vol. 2009, 1-12

Abstract:

Applying well properties of homogeneous functions, some monotonicity results for the ratio of two-parameter symmetric homogeneous functions are presented, which give an easier access to find two-parameter symmetric homogeneous means having ratio simple monotonicity properties proposed by L. Losonczi. As an application, a chain of inequalities of ratio of bivariate means is established.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:591382

DOI: 10.1155/2009/591382

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