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Volume 7, Issue 1, Article 3 |
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A Conjecture on General Means
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Authors: |
Olivier de La Grandville, Robert M. Solow, |
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Keywords:
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General means, Inflection point, Production functions. |
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Date Received:
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20/12/05 |
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Date Accepted:
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16/01/06 |
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Subject Codes: |
26E60.
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Editors: |
Alexander M. Rubinov (1940-2006), |
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Abstract: |
We conjecture that the general mean of two positive numbers, as a function of its order, has one and only one inflection point. No analytic proof seems available due to the extreme complexity of the second derivative of the function. We show the importance of this conjecture in today's economies.
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