函数的共轭富里埃级数的收敛速度

On the Rate of Covergence of the Conjugate Fourier Series of Functions of (?)BV

本文推广了[2]中的结果,估计了ΛBV函数中的共轭富里埃级数的部分和的收敛速度.

In this paper we prove the following theorem: Theorem. If f∈ABV and λk/k is nonincreasing, where V0t(φ, A) denotes A-total variation of φx, on the interval [0,t] (t∈[0,π), H(t) is a nonincreasing continuous function and H(t) = λk/t, This theorem improves the corresponding reselt in [2].