Let $\mathrm{Err}_{CY}$ be the error function given by Definition 4.3. For fixed parameters $\delta>0$, $\mu,\nu\in\mathbb{R}$ and $\alpha\in(0,1)$ which satisfy

(4.304)		$\displaystyle 0<\delta<\delta_{e}$	$\displaystyle\equiv\frac{\sqrt{\lambda_{1}}}{n(|k_{-}|+|k_{+}|)},$
(4.305)		$\displaystyle\nu+\alpha$	$\displaystyle>0,$

where the constants $\lambda_{1}>0$, $k_{-}>0$ and $k_{+}<0$ are given in Proposition 3.31. Then the weighted $C^{0,\alpha}$-estimate holds,

(4.306)

$$\|\mathrm{Err}_{CY}\|_{C^{0,\alpha}_{\delta,\nu,\mu}(\mathcal{M}_{T})}=O(T^{-2+\frac{\nu+\alpha}{n}+\mu}).$$