In the present paper, we discuss certain approximation properties of the modification of exponential type operators connected with $$x(x+1)^2$$. In modification, we consider the weights of Baskakov basis. We estimate moments and establish a Voronovskaja-kind asymptotic formula in simultaneous approximation. We also estimate the difference of modified operators with the original exponential operators. In the end the convergence of a polynomial function has been shown through graphical representation.

中文翻译：

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修改与 $$x(x+1)^2$$ 相关的指数类型运算符的近似值

在本文中，我们讨论了与 $$x(x+1)^2$$ 相关联的指数类型运算符修改的某些近似属性。在修改中，我们考虑了 Baskakov 基的权重。我们估计矩并在同时逼近中建立 Voronovskaja 类渐近公式。我们还估计了修改后的运算符与原始指数运算符的差异。最后，多项式函数的收敛性已经通过图形表示出来了。