 $$\frac{ {{\mathbb E}}(( f(\mathcal{K}^{\Lambda,\,\sigma,\,\eta}_h) -f(\sigma))\mathbbm{0}_{B_0})}{h} = \frac{ {{\mathbb E}}(( f(\mathcal{K}^{\Lambda,\,\sigma,\,\eta}_h) -f(\sigma))(\mathbbm{0}_{\{ L^{(0)}_B \leq h 