On the Monotonicity and Log-Convexity of a Four-Parameter Homogeneous Mean
© Zhen-Hang Yang. 2008
Received: 13 April 2008
Accepted: 29 July 2008
Published: 6 August 2008
A four-parameter homogeneous mean 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 means.
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