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Volume 7, Issue 4, Article 126 |
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On an Upper Bound for the Deviations from the Mean Value
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Authors: |
Aurelia Cipu, |
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Keywords:
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Arithmetic mean, Square mean, Cauchy-Schwarz-Buniakovski inequality, Triangle inequality. |
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Date Received:
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12/10/05 |
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Date Accepted:
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20/02/06 |
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Subject Codes: |
26D15, 51M16.
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Editors: |
Anthony Sofo, |
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Abstract: |
A completely elementary proof of a known upper bound for the deviations from the mean value is given. Related inequalities are also discussed. Applications to triangle inequalities provide characterizations of isosceles triangles.
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