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Volume 8, Issue 3, Article 68 |
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A Proof of Two Conjectures Related to the Erdös-Debrunner Inequality
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Authors: |
C. L. Frenzen, E. J. Ionascu, Pantelimon Stanica, |
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Keywords:
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Erdös-Debrunner inequality, Areas, Extrema, $p$-th power mean. |
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Date Received:
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26/09/06 |
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Date Accepted:
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01/09/07 |
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Subject Codes: |
26D07, 51M16, 52A40.
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Editors: |
Sever S. Dragomir, |
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Abstract: |
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-triangles formed by connecting three arbitrary points on the sides of a given triangle.
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