摘要
本文证明了《某类三角和的估计》一文中定理1的条件“数列ω(K)≥0且为单调递增”包含了条件“sum from k=1 to n k^(-1)ω(k)sinkx=O[ω(n)]”
In this paper,the writers prove that the condition“Sequence W(K)≥0 and monotone increasing”implicates the condition“sum from k=1 to 0 K^(-1) W(K)SinKX=O[W(n)]”of theorem 1 shown in the paper Estimates for a Class of Trigonometric Sums
关键词
ABEL变换
三角和
估计
Abel transform
Estimates of Trigonometric Sums