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On Landau-Type Approximation Operators

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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,… Click to show full abstract

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.

Keywords: type approximation; approximation operators; landau type

Journal Title: Mediterranean Journal of Mathematics
Year Published: 2021

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