Abstract The approximation of functions using linear positive operators is affected by saturation. The quality of approximation offered by iterated Boolean sums increases with the regularity of the function. We present some qualitative and quantitative results concerning the approximation by such Boolean sums. The general results are illustrated by examples.

中文翻译：

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Bernstein 类型运算符的迭代布尔和

摘要 使用线性正算子的函数逼近受饱和度的影响。迭代布尔和提供的近似质量随着函数的规律性而增加。我们提出了一些关于这种布尔和的近似的定性和定量结果。通过示例说明了一般结果。