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引用次数: 0
摘要
在本研究中,我们研究了一类Kantorovich型算子的一些近似性质,包括Varma & ta delen(2012)研究的Charlier多项式。利用常用的连续模和k泛函的概念等数学工具研究了算子的收敛阶,并利用Voronovskaja型近似定理导出了一个渐近公式。
Approximation Properties of a Class of Kantorovich Type Operators Associated with the Charlier Polynomials
In this study, we investigate some approximation properties of a class of the Kantorovich type operators including Charlier polynomials studied in Varma & Taşdelen (2012). We examine the order of convergence of the operators with the aid of some mathematical tools such as the usual modulus of continuity and the concept of K-functional, and derive an asymptotic formula using the Voronovskaja type approximation theorem.