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http://dx.doi.org/10.4134/BKMS.2012.49.1.033

THE LOG-CONVEXITY OF ANOTHER CLASS OF ONE-PARAMETER MEANS AND ITS APPLICATIONS  

Yang, Zhen-Hang (System Division Zhejiang Province Electric Power Test and Research Institute)
Publication Information
Bulletin of the Korean Mathematical Society / v.49, no.1, 2012 , pp. 33-47 More about this Journal
Abstract
In this paper, the log-convexity of another class one-parameter mean is investigated. As applications, some new upper and lower bounds of logarithmic mean, new estimations for identric mean and new inequalities for power-exponential mean and exponential-geometric mean are first given.
Keywords
Stolarsky mean; Gini mean; one-parameter homogeneous functions; log-convexity; inequality;
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