| 一类连分数的有理逼近 |
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| 引用本文： | 王莉,于秀源.一类连分数的有理逼近[J].数学研究及应用,2006,26(4):764-768. |
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| 作者姓名： | 王莉 于秀源 |
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| 作者单位： | 1. 杭州师范学院数学系,浙江,杭州,310012
2. 杭州师范学院数学系,浙江,杭州,310012;衢州学院数学系,浙江,衢州,324000 |
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| 基金项目： | 国家自然科学基金(10271037)，浙江省自然科学基金(M103060) |
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| 摘 要： | 设f(n)是非负函数,k,b,s_i,t_i(i=1,2,…)是正常数,研究形如a_0,a_1,a_2…]=■]_m~∞=0和■]_n~∞=1的连分数有理逼近的下界．
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| 关 键 词： | 有理逼近 连分数 下界估计 |
| 文章编号： | 1000-341X(2006)04-0764-05 |
| 收稿时间： | 10 27 2004 12:00AM |
| 修稿时间： | 2004年10月27 |
Rational Approximation to a Class of Continued Fractions |
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| WANG Li and YU Xiu-yuan.Rational Approximation to a Class of Continued Fractions[J].Journal of Mathematical Research with Applications,2006,26(4):764-768. |
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| Authors: | WANG Li and YU Xiu-yuan |
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| Institution: | Dept. of Math., Hangzhou Teachers College, Zhejiang 310012, China;Dept. of Math., Hangzhou Teachers College, Zhejiang 310012, China; Dept. of Math., Quzhou College, Zhejiang 324000, China |
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| Abstract: | Let $f(n)$ be a nonnegative function, and $\kappa,b,s_{i}$ and $t_{i}(i=1,2,\cdots)$ positive constants. We discuss the lower bound of rational approximations to two kinds of continued fractions such as $a_{0},a_{1},a_{2},\cdots]=\overline{\kappa n+b}]_{n=0}^{\infty}\mbox{~~and~~}\overline{s_{n},f(n),t_{n}}]_{n=1}^{\infty}.$ |
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| Keywords: | rational approximation continued fraction evaluation of lower bound |
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