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An Extension of the Erdös-Debrunner Inequality to General Power Means
Erdö s-Debrunner inequality harmonic mean geometric mean power means
2010/1/22
Given the harmonic mean of the numbers () and a , we determine the best power mean exponents and such that , where and only depend on . Also, for we similarly handle the estimates.
A Monotonicity Property of Power Means
Arithmetic mean Geometric mean Monotonicity Power means
2008/7/3
A Monotonicity Property of Power Means.
The author uses certain property of convex functions to prove Bernoulli's inequality and to obtain a simple proof of monotonicity of power means.
A New Proof of the Monotonicity Property of Power Means.
On a Conjecture of de La Grandville and Solow Concerning Power Means
Solow Concerning Power Means Grandville Conjecture
2008/6/30
In a recent paper in this journal De La Grandville and Solow [1] presented a conjecture concerning Power Means. A counterexample to their conjecture is given.
Some Considerations on the Monotonicity Property of Power Means
Jensen's inequality Monotonicity Power means
2008/6/26
Some Considerations on the Monotonicity Property of Power Means.