  It is shown that for $f$ analytic and convex in $z\in D=\{z:|z|<1\}$ and
given by $f(z)=z+\sum_{n=2}^{\infty}a_{n}z^{n}$, the difference of coefficients
$||a_{3}|-|a_{2}||\le 25/48$ and $||a_{4}|-|a_{3}||\le 25/48$ . Both
inequalities are sharp.
