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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 Proof of Two Conjectures Related to the Erdös-Debrunner Inequality
Erdö s-Debrunner inequality Areas Extrema $p$-th power mean
2008/7/3
In this paper we prove some results which imply two conjectures proposed by Janous on an extension to the p-th power-mean of the Erdös-Debrunner inequality relating the areas of the four sub-tria...
On the Erdös-Debrunner Inequality
Erdö s-Debrunner inequality Area of triangles Generalized means
2008/6/27
We confirm two recent conjectures of W. Janous and thereby state the best possible form of the Erdös-Debrunner inequality for triangles.