基于Pochhammer $k$ -符号的Polya分布的广义Lupaeros型算子的逼近性质
On Approximation Properties of Generalized Lupaş Type Operators Based on Polya Distribution with Pochhammer $k$-Symbol
摘要：
本文研究了基于Pochhammer $k$ -符号的Polya分布的Lupa-Stancu算子的Kantorovich变体。我们简要地给出了广义算子的一些基本性质，并利用这些结果研究了所研究算子的收敛性。进一步得到了这类算子的收敛速率，并建立了点态逼近的Voronovskaja型定理.然后我们构造了这类算子的二元推广，并讨论了其收敛性质。最后，考虑到一些说明性的图形，我们结束了我们的研究与我们的运营商和其他运营商的收敛速率的比较，其中提到的文件。
英文摘要：
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.
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