%0 Journal Article
%T Successive coefficients of convex functions
%A Derek Thomas
%J Mathematics
%D 2015
%I arXiv
%X 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.
%U http://arxiv.org/abs/1502.00923v2