| Wallis不等式的新改进 |
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| 引用本文： | 齐玉霞,周金峰. Wallis不等式的新改进[J]. 数学的实践与认识, 2009, 39(8) |
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| 作者姓名： | 齐玉霞 周金峰 |
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| 作者单位： | 聊城大学东昌学院,数学系,山东,聊城,252000 |
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| 摘 要： | 对Wallis不等式做出了新的改进.与目前掌握的文献相比,所得结果精度更高,且容易估计误差.同时还导出了(2n(2-n)1!)!!!的一个渐近展开式.
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| 关 键 词： | Wallis不等式 单调数列 精度 |
The Reforming for Wallis' Inequality |
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| QI Yu-xia,ZHOU Jin-feng. The Reforming for Wallis' Inequality[J]. Mathematics in Practice and Theory, 2009, 39(8) |
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| Authors: | QI Yu-xia ZHOU Jin-feng |
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| Abstract: | New improvement for Wallis′ inequality is given.To contrast with related literature now,the accuracy of the result is sharper,and the error estimate is easily obtained.At the same time,an asymptotic expansion for(2n-1)!!(2n)!! is deduced. |
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| Keywords: | Wallis′ inequality monotone sequence of numbers accuracy |
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