On the Monotonicity and Log-Convexity of a Four-Parameter Homogeneous Mean

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Yang, Zhen-Hang (2005) On the Monotonicity and Log-Convexity of a Four-Parameter Homogeneous Mean. Research report collection, 8 (3).

Abstract

A four-parameter homogeneous mean F(p, q; r, s; a, b) is defined by another approach. The criterion for monotonicity and logarithmically convexity of which are presented, and two refined two-parameter inequality’s chains concerning some classical mean values are deduced.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17440
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords homogeneous functions, monotonicity, log-convexity, mean, inequalities chain
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