Teissier's log-convexity conjecture for sectional Milnor numbers

Let $(X,x)$ be a germ of an isolated hypersurface singularity, and let $\mu^{(i)}$ denote its $i$th sectional Milnor number. Teissier's log-convexity conjecture. Is it true that

$$\frac{\mu^{(n+1)}}{\mu^{(n)}}\geq\frac{\mu^{(n)}}{\mu^{(n-1)}}\geq\cdots\geq\frac{\mu^{(1)}}{\mu^{(0)}}?$$

The question asks whether the sequence of sectional Milnor numbers is log-convex. The supplied text gives no resolution status.