基于Charlier多项式的Szasz-Kantorovich型算子

Pub Date : 2016-09-23 DOI:10.5666/KMJ.2016.56.3.877

Arun Kajla, P. Agrawal

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引用次数: 19

摘要

．在本文中，我们研究了S. Varma和F. tajoelen(数学)引入的涉及Charlier多项式的Sz´asz型算子的Kantorovich型泛化的一些近似性质。第一版。建模，56(5-6)(2012)108-112)。首先，我们建立了Lipschitz型空间中的近似，加权近似定理和这些算子的a -统计收敛性质。然后，我们得到了导数为有界变化的函数的逼近率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Szasz-Kantorovich Type Operators Based on Charlier Polynomials

. In the present article, we study some approximation properties of the Kantorovich type generalization of Sz´asz type operators involving Charlier polynomials introduced by S. Varma and F. Ta¸sdelen (Math. Comput. Modelling, 56 (5-6) (2012) 108-112). First, we establish approximation in a Lipschitz type space, weighted approximation theorems and A -statistical convergence properties for these operators. Then, we obtain the rate of approximation of functions having derivatives of bounded variation.

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