| 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 |
| 一类连分数的有理逼近 |
| Rational Approximation to a Class of Continued Fractions |
| 投稿时间：2004-10-27 |
| DOI：10.3770/j.issn:1000-341X.2006.04.016 |
| 中文关键词: 有理逼近 连分数 下界估计. |
| 英文关键词:rational approximation continued fraction evaluation of lower bound. |
| 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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| 中文摘要: |
| 设$f(n)$是非负函数, $\kappa,b,s_{i},t_{i}(i=1,2,\cdots)$是正常数,研究形如$$[a_{0},a_{1},a_{2},\cdots]=[\overline{\kappa n+b}]_{n=0}^{\infty}\mbox{~~和~~}[\overline{s_{n},f(n),t_{n}}]_{n=1}^{\infty}$$的连分数有理逼近的下界. |
| 英文摘要: |
| 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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