加权空间上通过 Pp - 统计收敛的逼近定理

Pub Date : 2024-07-01 DOI:10.1515/ms-2024-0050
Sevda Yıldız, Nilay Şahin Bayram
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引用次数: 0

摘要

本文通过相对于幂级数方法的统计型收敛方法,得到了二维加权空间上正线性算子双序列的一些柯罗夫金型近似定理。此外,我们还计算了收敛速率。作为应用,我们利用 Gadjiev-Ibragimov 算子的广义化为 Pp 统计收敛提供了一种近似方法。我们的结果比之前针对二维加权空间给出的结果更有意义、更强。
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Approximation theorems via Pp -statistical convergence on weighted spaces
In this paper, we obtain some Korovkin type approximation theorems for double sequences of positive linear operators on two-dimensional weighted spaces via statistical type convergence method with respect to power series method. Additionally, we calculate the rate of convergence. As an application, we provide an approximation using the generalization of Gadjiev-Ibragimov operators for Pp -statistical convergence. Our results are meaningful and stronger than those previously given for two-dimensional weighted spaces.
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