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On Comparison of Two-Parameter Homogeneous Symmetric Functions

Yang, Zhen-Hang (2005) On Comparison of Two-Parameter Homogeneous Symmetric Functions. Research report collection, 8 (4).

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Abstract

A function may be decomposed into the product of a positive function and another monotone one. Proceeding from the train of thoughts, Pales’s comparison theorem is improved, a new proof of which is given. As a class of special functions, the comparison problem for two-parameter functions are solved. Lastly, the comparison theorems of certain familiar two-parameter homogeneous functions are presented.

Item Type: Article
Uncontrolled Keywords: comparison theorem, convexity, monotonicity, two-parameter homogeneous functions, mean
Subjects: FOR Classification > 0101 Pure Mathematics
Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Depositing User: Research Group in Mathematical Inequalities and Applications
Date Deposited: 17 Nov 2011 03:38
Last Modified: 23 May 2013 16:50
URI: http://vuir.vu.edu.au/id/eprint/17458
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