In the present paper, the generalized -gamma-type operators based on -calculus are introduced. The moments and central moments are obtained, and some local approximation properties of these operators are investigated by means of modulus of continuity and Peetre -functional. Also, the rate of convergence, weighted approximation, and pointwise estimates of these operators are studied. Finally, a Voronovskaja-type theorem is presented.

中文翻译：

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广义-Gamma型运算符

在本文中，广义 -基于的伽马类型运算符-微积分介绍。矩和中心矩得到，和这些运算符的一些局部近似性质由连续性和Peetre的模量的方法，研究-功能性的。此外，还研究了这些算子的收敛速度，加权逼近和逐点估计。最后，给出了Voronovskaja型定理。