A Direct Proof and Extensions of An Inequality
Received:October 14, 2002  
Key Word: Inequality   Hadamard inequality   Chebyshev inequality   extensions.  
Fund ProjectL:Supported by the Special Funds for Major State Basic Research Projects(19990328) and NNSFC (10275054)
Author NameAffiliation
YANG Shi-jun Dept. of Math.
Hangzhou Normal College
Zhejiang Institute of Modern Physics
Zhejiang University
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      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.
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