论文标题
一些模糊的科罗夫金型近似定理通过功率系列可总结法
Some Fuzzy Korovkin type Approximation Theorems via Power Series Summability Method
论文作者
论文摘要
本文为任何模糊的正线性运算符序列提供了基于功率系列的概括性定理。使用平稳性模量的概念，我们还得出了有关这些操作员收敛速率的相关近似定理。此外，通过一个示例，我们说明了基于总结性的Korovin型定理比Anastassiou在精确论文中证明的模糊Korovkin型定理的优势（Stud。Univ。Babeş-BolyaiMath。4（2005）4（2005），3--10）。
This article provides a power series summability based Korovkin type approximation theorem for any fuzzy sequence of positive linear operators. Using the notion of fuzzy modulus of smoothness, we also derive an associated approximation theorem concerning the fuzzy rate of convergence of these operators. Furthermore, through an example, we illustrate that our summability based Korovin type theorem is an advantage over the fuzzy Korovkin type theorem proved in the seminal paper by Anastassiou (Stud. Univ. Babeş-Bolyai Math. 4 (2005), 3--10).
