Fourier级数的Vallee—Poussin平均对有界变差函数逼近速度的估计

An Estimate of the Rate of Convergenceof the Vallee-Poussin Means of the Fourier Seriesof Functions of Bounded Variation

本文讨论Fourier级数的Vallee-Poussin平均对周期2π的有界变差函数的点态逼近度,给出了有关结果.

Let (akcoskx+bhsinkx) Ak(x) be the Fourier Series of f ∈ BV2x, the Vallee-Poussin means are defined by where In this paper we obtain the follewinf theorem Theorem If f ∈ BV2π ,then where