Kantorovich Inequality
Suppose 
are given Positive numbers. Let 
, ..., 
and 
. Then
where
 |  |  | |
 | |  |
are the Arithmetic and Geometric Mean, respectively, of the first and last numbers.
References
Pták, V. ``The Kantorovich Inequality.'' Amer. Math. Monthly 102, 820-821, 1995.
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