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Volume 9, Issue 3, Article 87 |
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On an Inequality of Feng Qi
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Authors: |
Tamás F. Móri, |
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Keywords:
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Optimal inequality, Power sum, Subadditive, Superadditive, Power mean inequality |
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Date Received:
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17/01/08 |
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Date Accepted:
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04/08/08 |
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Subject Codes: |
26D15.
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Editors: |
Feng Qi, |
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Abstract: |
Recently Feng Qi has presented a sharp inequality between the sum of squares and the exponential of the sum of a nonnegative sequence. His result has been extended to more general power sums by Huan-Nan Shi, and, independently, by Yu Miao, Li-Min Liu, and Feng Qi. In this note we generalize those inequalitites by introducing weights and permitting more general functions. Inequalities in the opposite direction are also presented.
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