We investigate the weighted approximation of functions in Lp-norm by Kantorovich modifications of the classical Baskakov operator, with weights of type (1+x)α, α ∈ ℝ. By defining an appropriate K-functional we prove direct inequalities for them.

中文翻译：

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Baskakov-Kantorovich 算子对 Lp 范数函数的加权逼近

我们通过经典 Baskakov 算子的 Kantorovich 修改研究 Lp 范数中函数的加权逼近，权重类型为 (1+x)α, α ∈ ℝ。通过定义一个合适的 K 泛函，我们证明了它们的直接不等式。