The key goal of this article is to propose a modification of certain exponential type operators defined by Ismail and May. Particularly, we concentrate on a sequence of operators that preserve \(e^{-x}\) and constant functions. We find the moments of these modified operators using the concept of moment generating function with the help of Mathematica software. We show uniform convergence of these modified operators and analyze the asymptotic behaviour with a Voronovskaya type theorem. We also illustrate via graphs that our modified operators approximate better than the original operators for certain family of functions. Finally, we show the convergence of these modified operators graphically using Mathematica Software.

本文的主要目标是提出对Ismail和May定义的某些指数类型运算符的修改。特别是，我们专注于保留\（e ^ {-x} \）和常数函数的一系列运算符。我们借助矩生成函数在Mathematica软件的帮助下找到了这些修改算子的矩。我们展示了这些修饰算子的一致收敛性，并使用Voronovskaya型定理分析了渐近行为。我们还通过图形说明了在某些功能系列中，我们修改后的运算符比原始运算符具有更好的近似性。最后，我们使用Mathematica软件以图形方式显示了这些修改后的运算符的收敛性。