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New Meyer-König-Zeller operators demonstrate unique approximation properties by integrating Baskakov type operators, indicating potential applications in functional analysis.
In this paper, a new kind of Meyer-K?nig-Zeller type operators will be constructed by their relationship with Baskakov type operators. Firstly, the Baskakov type operators preserving the function e-?x(? > 0) will be introduced by the dominated convergence theorem. Secondly, some approximation properties of this kind of new Baskakov operators will be discussed. Finally, with the help of a trans-formation from [0, 1) to [0, ?), we will give the definition and the approximation theorem of the new Meyer-K?nig-Zeller type operators.
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Hui et al. (2025) studied this question.
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