| 贝努利不等式的高阶推广和数值验证 |
| |
| 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. |
| |
| 作者姓名： | 石勇国 陈志强 吕晓亚 |
| |
| 作者单位： | 内江师范学院,数学系,四川,内江,641112 |
| |
| 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.
|
| 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年6月11日 |
The Generalization with High Order of Bernoulli's Inequality and Numerical Authentication |
| |
| 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. |
| |
| Authors: | SHI Yong-guo CHEN Zhi-qiang L Xiao-ya |
| |
| Institution: | SHI Yong-guo,CHEN Zhi-qiang,L(U) Xiao-ya |
| |
| 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. |
| |
| Keywords: | Bernoulli's inequality Taylor series Lagrange remainder term |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
