论文标题
Durrmeyer类型指数采样系列近似
Approximation by Durrmeyer type Exponential Sampling Series
论文作者
论文摘要
在本文中，我们分析了Durrmeyer类型指数采样算子的新家族的近似属性。我们为这些广义的运营商系列得出了点和均匀近似定理和Voronovskaya型定理。此外，我们构建了这些操作员的凸型线性组合，并建立了更好的近似结果。最后，我们提供的几乎没有图形表示可以应用的内核函数的示例。
In this article, we analyze the approximation properties of the new family of Durrmeyer type exponential sampling operators. We derive the point-wise and uniform approximation theorem and Voronovskaya type theorem for these generalized family of operators. Further, we construct a convex type linear combination of these operators and establish the better approximation results. Finally, we provide few examples of the kernel functions to which the presented theory can be applied along with the graphical representation.
