The Voronovskaja formula for Aldaz–Kounchev–Render operators was established in terms of pointwise convergence. For suitable functions we prove it with uniform convergence. Moreover, we establish the Voronovskaja formula of second order with uniform convergence.

中文翻译：

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Aldaz–Kounchev–Render 算子的 Voronovskaja 公式：一致收敛

Aldaz-Kounchev-Render 算子的 Voronovskaja 公式是根据逐点收敛建立的。对于合适的函数，我们用一致收敛来证明它。此外，我们还建立了一致收敛的二阶Voronovskaja公式。