论文标题
在双变量Kantorovich指数采样系列上
On Bivariate Kantorovich Exponential Sampling Series
论文作者
论文摘要
我们分析了Kantorovich型指数采样系列的双变量概括的近似特性。我们为这些采样类型系列得出点和Voronovskaya型定理。使用平滑度的模量，我们获得了这些系列收敛顺序的定量估计。此外，我们建立了与广义布尔总和（GBS）运营商相关的这些序列的近似程度。最后，我们提供了一些可以将理论与图形表示和误差估计一起应用的内核示例。
We analyse the approximation properties of the bivariate generalization of the family of Kantorovich type exponential sampling series. We derive the point-wise and Voronovskaya type theorem for these sampling type series. Using the modulus of smoothness, we obtain the quantitative estimate of order of convergence of these series. Further, we establish the degree of approximation for these series associated with generalized Boolean sum (GBS) operators. Finally, we provide a few examples of kernels to which the theory can be applied along with the graphical representation and error estimates.
