In this paper, we define and study a general class of convolution operators based on Landau operators. A property of these new operators is that they reproduce the affine functions, a feature less commonly encountered by integral type operators. Approximation properties in different function spaces are obtained, including quantitative Voronovskaya-type results.

中文翻译：

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关于Landau型逼近算子

在本文中，我们定义和研究了基于Landau算子的一类通用卷积算子。这些新运算符的一个特性是，它们会重现仿射函数，这是整数类型运算符很少遇到的功能。获得了不同函数空间中的逼近性质，包括定量的Voronovskaya型结果。