极限周期连分式sum from n=1 to ∞ 〔a_n/1〕加速收敛的误差估计  

Error estimate for accelerating convergence of limit periodic continued fraction sum from n=1 to ∞ 〔a_n/1〕

作　　者：杨志[1] 唐烁[1] 

机构地区：[1]合肥工业大学数学学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2010年第5期780-782,共3页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(60773043);安徽省教育厅重点资助项目(KJ2008A027)

摘　　要：极限周期连分式是一类非常重要的连分式,它在连分式分析理论中占有极其重要的地位。文章从定量角度出发,对极限周期连分式在一般加速收敛因子下的加速收敛效果进行了研究,并给出了误差表达式。The limit periodic continued fraction is an important kind of continued fractions,which holds the extremely important status in the continued fraction analysis theory.From a quantitative perspective,this paper conducts the research on accelerating convergence effect of limit periodic continued fraction,and gives the erroneous expression with the general converging factor.

关 键 词：极限周期连分式 加速收敛 误差估计 

分 类 号：O241.5[理学—计算数学]