| 贝努利不等式的高阶推广和数值验证 |
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| 引用本文： | 石勇国,陈志强,吕晓亚. 贝努利不等式的高阶推广和数值验证[J]. 内江师范学院学报, 2007, 22(6): 17-18 |
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| 作者姓名： | 石勇国 陈志强 吕晓亚 |
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| 作者单位： | 内江师范学院,数学系,四川,内江,641112 |
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| 摘 要： | 利用Taylor公式及Lagrange余项定理,研究了Bernoulli不等式高阶近似的情形,得到了任意阶Bernoulli型不等式.通过MATLAB计算验证了这些不等式成立.
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| 关 键 词： | Bernoulli不等式 泰勒级数 Lagrange余项 |
| 文章编号： | 1671-1785(2007)06-0017-02 |
| 修稿时间： | 2007-06-11 |
The Generalization with High Order of Bernoulli''''s Inequality and Numerical Authentication |
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| SHI Yong-guo,CHEN Zhi-qiang,L Xiao-ya. The Generalization with High Order of Bernoulli''''s Inequality and Numerical Authentication[J]. Journal of Neijiang Teachers College, 2007, 22(6): 17-18 |
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| Authors: | SHI Yong-guo CHEN Zhi-qiang L Xiao-ya |
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| Affiliation: | SHI Yong-guo,CHEN Zhi-qiang,L(U) Xiao-ya |
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| Abstract: | Using Taylor Formula with Lagrange Remainder Term,the case for high order approximate Bernoulli's inequality was investigated.The generalization with n-order of Bernoulli's inequality was obtained.Finally, these generalized Bernoulli's inequalities were verified by MATLAB V7.0. |
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| Keywords: | Bernoulli's inequality Taylor series Lagrange remainder term |
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