We establish direct estimates of the rate of weighted simultaneous approximation by the Baskakov operator for smooth functions in the supremum norm on the non-negative semi-axis. We consider Jacobi-type weights. The estimates are stated in terms of appropriate moduli of smoothness or K-functionals.

中文翻译：

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Baskakov 算子对加权同时逼近的直接估计

我们通过 Baskakov 算子对非负半轴上的最高范数中的平滑函数建立加权同时逼近率的直接估计。我们考虑 Jacobi 类型的权重。估计值以适当的平滑度或 K 函数模数表示。