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Napier's Inequality

For $b>a>0$,

\begin{displaymath}
{1\over b} < {\ln b-\ln a\over b-a} < {1\over a}.
\end{displaymath}


References

Nelsen, R. B. ``Napier's Inequality (Two Proofs).'' College Math. J. 24, 165, 1993.




© 1996-9 Eric W. Weisstein
1999-05-25