摘要
介绍一种新的用于计算函数跳跃值的集中因子.通过该因子和Fourier共轭部分和求得跳跃值,并将收敛速度提高到O(lnn/n).文中得到的结果改进了Lukacs定理,与Gelb和Tadmor的结果相比更易于计算.
A new type of concentration factors for determination of jumps of functions is discussed. Using the concentration factor and the partial sum of Fourier conjugate series, we obtain the jumps of functions and keep a good convergence rate. The results improve the classical Lukaes Theorem and compared with Gelb and Tadmor results,it is easier to calculate.
出处
《湖南工程学院学报（自然科学版）》
2010年第2期32-34,共3页
Journal of Hunan Institute of Engineering(Natural Science Edition)
关键词
跳跃值
集中因子
共轮级数
jump
concentration factor
conjugate series
