与微分-差分算子有关的逼近定理
Approximation theorems connected with differential-difference operator
摘要：
在本文中，我们建议给予的Dunkl理论的翻译概念的背景下，与此相关的泰勒公式的相应的扩展。更确切地说，我们证明了与Dunkl算子相关联的广义泰勒公式在实数线上的积分余项的一些性质和估计，并描述了余项具有给定阶的Besov型空间.
英文摘要：
In the present paper, we propose to give an extension to the context of Dunkl theory of the notion of translation and in connection with this a corresponding extension of Taylor's formula. More precisely, we prove some properties and estimates of the integral remainder in the generalized Taylor formula associated to the Dunkl operator on the real line and we describe the Besov-type spaces for which the remainder has a given order.
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