| Smarandache平方数列SP(n)和IP(n)的均值差 |
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| 引用本文： | 李粉菊.Smarandache平方数列SP(n)和IP(n)的均值差[J].纯粹数学与应用数学,2010,26(1):69-72. |
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| 作者姓名： | 李粉菊 |
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| 作者单位： | 铜川职业技术学院,陕西,铜川,727031 |
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| 基金项目： | 国家自然科学基金(10671155) |
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| 摘 要： | 对任意正整数n，Smarandache最小平方数列SP（n）定义为大于或等于n的最小完全平方数；Smarandache最大平方数列IP（n）定义为小于或等于n的最大完全平方数．日本学者建议研究数列SP（n）和IP（n）的几个均值问题．最近，国内学者首次利用初等及解析方法对这些问题进行了研究，并给出了数列SP（n）及IP（n）的几个均值公式，同时解决了日本学者提出的几个问题．本文进一步对这些问题进行研究，获得了一个新的渐近公式．
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| 关 键 词： | Smarandache最小平方数 Smarandache最大平方数 均值 渐近公式 |
On the difference between the mean value of the Smarandache square parts sequences SP (n) and IP (n) |
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| LI Fen-ju.On the difference between the mean value of the Smarandache square parts sequences SP (n) and IP (n)[J].Pure and Applied Mathematics,2010,26(1):69-72. |
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| Authors: | LI Fen-ju |
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| Institution: | Tongchuan Vocational and Technical College;Tongchuan 727031;China |
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| Abstract: | For any positive integer n,the Smarandache Superior Square Part SP(n) is the smallest square greater than or equal to n,the Smarandache Inferior Square Part IP(n) is the largest square less than or equal to n.Japanese scholar asked us to study several mean value problems related to sequences SP(n) and IP(n). Recently,Chinese scholar first used the elementary and analytic methods to study these problems,obtained several interesting mean value formulae,and solved several problems proposed by Japanese scholar.... |
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| Keywords: | Smarandache superior square part Smarandache inferior square part mean value asymptotic formula |
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