Levinson's inequality
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In mathematics the Levinson's inequality is the following inequality involving positive numbers: Let a > 0 and f be a given function having a third derivative on the range ]0,2a[, and such that
for all ![x\in ]0,2a[](../../../math/e/d/c/edc4b0f3601a620b0e507eef45e1f5ed.png)
. If 
for every
and 0 < p,
we have
The Ky Fan inequality is the special case of Levinson's inequality where
and
- f(x) = logx.
[edit] References
- Scott Lawrence and Daniel Segalman: A generalization of two inequalities involving means, Proceedings of the American Mathematical Society. Vol 35 No. 1, September 1972
