瓦勒·布然奇异积分的类LiP^(·α)特征

Characterization of the Class Lip^(·α) of Vallee Poussin Strange Integral

本文旨在指出函数逼近论中瓦勒·布然奇异积分V_n(f;x),逼近类Lipα(0<α< 2)中函数f(x)的特征能用阶n^2来刻划。

The object of this note is to Prove that the class Lip*α( 0 <α< 2 ) of periodic continuous functions can be characterized by the degree of approximation of the functions using Vallee ·Poussin strange integral Vn(f;x).