On Comparison of Two-Parameter Homogeneous Symmetric Functions

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


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
URI https://vuir.vu.edu.au/id/eprint/17458
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords comparison theorem, convexity, monotonicity, two-parameter homogeneous functions, mean
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