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

A four-parameter homogeneous mean ðÂÂÂ…(p,q;r,s;a,b) is defined by another approach. The criterion of its monotonicity and logarithmically convexity is presented, and three refined chains of inequalities for two-parameter mean values are deduced which contain many new and classical inequalities for...

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Bibliographic Details
Main Author: Zhen-Hang Yang
Format: Article
Language:English
Published: SpringerOpen 2008-09-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2008/149286