ABMV中函数的Euler平均逼近

Approximation of Functions of ABMV by Euler Means

本文考虑了ABMV函数的Euler平均逼近,给出了逼近阶的估计,

Let denote the Euler means of the Fourier series of the 2π-periodic function f(x). In this paper, we mainly discuss the approximation of functions of ABMV by Euler means. We have obtained the following Theorem 1. If f∈ABMV and q≥1, then intwis modulus of continuity of f at x. Theorem 2. If f∈HBMV and q≥1, then