论文标题
关于基于Polya分布的Pochhammer $ k $ -Symbol
On Approximation Properties of Generalized Lupaş Type Operators Based on Polya Distribution with Pochhammer $k$-Symbol
论文作者
论文摘要
在我们目前的调查中，我们关注的是Lupaş-Stancu运营商的Kantorovich变体，其基于Polya $ k $ -symbol的Polya分销。我们简要介绍了广义运营商的一些基本属性，并通过使用这些结果，研究了研究的运营商的收敛属性。此外，还获得了这些运算符的收敛速率，并确定了voronovskaja型定理，以确定近距离近似。然后，我们构建了操作员的双变量概括，并讨论了一些收敛属性。最后，考虑到一些说明性的图形，我们结束了研究，以比较经营者与其他运营商之间的收敛速度。
In our present investigation, we are concerned with the Kantorovich variant of Lupaş-Stancu operators based on Polya distribution with Pochhammer $k$-symbol. We briefly give some basic properties of the generalized operators and by making use of these results, we investigate convergence properties of the studied operators. Furthermore, the rate of convergence of these operators is obtained and Voronovskaja type theorem for the pointwise approximation is established. Then we construct bivariate generalization of the operators and we discuss some convergence properties. Finally, taking into account some illustrative graphics, we conclude our study with the comparison of the rate of convergence between our operators and other operators which are mentioned in the paper.
