The main purpose of this article is to introduce a new generalization of q-Phillips operators generated by Dunkl exponential function. We establish some approximation results for these operators. We also determine the order of approximation, and the rate of convergence in terms of the modulus of continuity of order one and two. Moreover, we obtain some direct theorems.

中文翻译：

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q模拟产生的一类Phillips算子的逼近

本文的主要目的是介绍由Dunkl指数函数生成的q-Phillips运算符的新泛化。我们为这些算子建立了一些近似结果。我们还根据一阶和二阶的连续模数确定近似阶数和收敛速度。此外，我们获得了一些直接定理。