The log-convexity of another class of one-parameter means and its applications
Bull. Korean Math. Soc. 2012 Vol. 49, No. 1, 33-47
https://doi.org/10.4134/BKMS.2012.49.1.33
Published online January 1, 2012
Zhen-Hang Yang
Zhejiang Province Electric Power Test and Research Institute
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
MSC numbers : Primary 26A48, 26A51; Secondary 26D07, 26E60
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