| A Direct Proof and Extensions of An Inequality |
| Received:October 14, 2002 |
| Key Words:
Inequality Hadamard inequality Chebyshev inequality extensions.
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| Fund Project:Supported by the Special Funds for Major State Basic Research Projects(19990328) and NNSFC (10275054) |
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| Abstract: |
| In this note, we discuss a well-known inequality which attracts considerable interest recently. We first obtain a full version of the inequality, then we give a concise and elementary proof which reveals its very essential. This naturally leads us to some more general extensions of it. Meanwhile, we point out some mistakes in the existing literature concerning the inequality. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2004.04.009 |
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