具有高逼近阶及振荡核的W-K算子

The W-K Operator with the Height Approximation Order and Oscillatory Kernel

本文具体彻底地解决了Коровкин提出的“利用有限振荡核提高算子逼近阶”的问题,通过新构造一种含有2m次振荡核的W-K算子,应用复分析及Butzer[3][6]方法,证得W-K算子对充分光滑周期函数的逼近阶可高达O()/(122+mn)。

In this paper, we constructe a new type W-K Operators with finite 2m?oscillatory kernel, by using the method of Butzer and the complex analysis, we show that for sufficiently smooth periodic functions the approximation orders of the W-K operators can be reach O(1/n2m+2).