摘要
研究了分形迭代ak+1=ak+a2k/n第n项an的估计.利用迭代的等价形式给出了an的一个估计1-1n<an<1.进一步地,将an展开成1n的幂级数形式后改进了上述估计,最后an被控制在一个长度为4的开区间内.
The n-th＇s estimates of fractal iteration ak＋l=ak ＋ak^2/n
are investigated. A estimate of a, is given by using equivalent forms of iteration, i. e. ,1-n/1〈an 〈 1. Furthermore,the above estimate is improved after a, is expanded as the form of power series of n/1, thereby an is controlled in an open interval of length n^2/4.
出处
《数学的实践与认识》
CSCD
北大核心
2006年第9期309-316,共8页
Mathematics in Practice and Theory
基金
湖南省自然科学基金项目(03JJY3014)资助
关键词
分形迭代
第一项的估计
幂级数展开
fractal iteration
the n-th＇s estimate
power series expansion
