In the present article, we construct -Szász-Mirakjan-Kantorovich-Stancu operators with three parameters . First, the moments and central moments are estimated. Then, local approximation properties of these operators are established via -functionals and Steklov mean in means of modulus of continuity. Also, a Voronovskaja-type theorem is presented. Finally, the pointwise estimates, rate of convergence, and weighted approximation of these operators are studied.

中文翻译：

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关于修正的-Szász-Mirakjan-Kantorovich算子的Stancu型泛化

在本文中，我们构造 -具有三个参数的Szász-Mirakjan-Kantorovich-Stancu运算符。首先，估算矩和中心矩。然后，通过-函数和Steklov均值，以连续模数的方式确定这些算子的局部逼近性质。此外，提出了Voronovskaja型定理。最后，研究了这些算子的逐点估计，收敛速度和加权逼近。